diff --git "a/data/dm_maths/full_data_1/2184_11255.jsonl" "b/data/dm_maths/full_data_1/2184_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2184_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round -856041300 to the nearest one hundred thousand.\nAnswer: -856000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 - 110. Let w(m) = 16*m**3 - 3*m**2 - m + 3. Let b be w(d). Let i(n) = 4*n - 23. Let f be i(9). What is the greatest common divisor of b and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4332)\/(-2888))\/(2*9\/(-456))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*y**4 + 899*y**2 - 2*y + 14051.\nAnswer: 20*y**3 + 1798*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5353302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 305510 and 1507.\nAnswer: 3360610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16608 and 67\/38752.\nAnswer: 116256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = t. Suppose 20 = -4*r - 2*h, 3*h + 7 = -r + t*h. Let d be (-3)\/(-9) + 42\/9. Sort 1, r, d in increasing order.\nAnswer: r, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 4. Let b be n(6). Suppose 4*q - 338 = 2*y, -b*q + 3*q - 95 = 4*y. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-40))\/((-331)\/(-1655)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 14 = -2*m, -9 = -0*m - m + 3*i. Let w be (-24)\/(-8) - -27*(2 - m). Suppose -w - 382 = -5*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1616 + 18 - 10\/2. Suppose -5*j = g - 3107 - y, 14138 = 3*g + j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39.952179 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 369455.\nAnswer: -3325095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 2. Let x(r) = 8 - 7 + 2 + 188*r**2 - 185*r**2. Give -7*f(a) - 3*x(a).\nAnswer: -2*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3558*r + 1168*r**2 - 65*r**2 + 2255*r**2 wrt r.\nAnswer: 6716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by (-31)\/5*(-19 - -9).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030*a - 1 + 148*a - 19.\nAnswer: 1178*a - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/2, -7.1 in increasing order.\nAnswer: -7.1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 467065723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4 - 177*h**5 - 794*h**5 - 112*h**2 - 164302*h + 164301*h - 4 wrt h.\nAnswer: -58260*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850 = 3*r - 2*w, 5*r - 32*w = -30*w + 1410. Let v = r + -808\/3. Let -4\/3*y**2 - v*y - 64\/3 = 0. What is y?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11.4, -2, -8433?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**40*r*(r\/r**(-1\/20))\/r*r)\/(r*r**4*r*r*r*r**(1\/48)))**(1\/88) assuming r is positive.\nAnswer: r**(8167\/21120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1134 and 12096.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 253?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 449665849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -425.996554 - -426. Round t to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268737 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1205 - -1209. Calculate the remainder when 228 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.04 + 0.04. Let h = 2 + a. Let x = 41 + -85\/2. What is the closest to 2 in h, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453 * -0.4\nAnswer: 181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1)*(85*k + 79*k - 298*k - 2*k**4) - k**2 + k**4 + k**2.\nAnswer: 7*k**4 + 402*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 278\/(-476)*96\/(-48) + (-8)\/(-68)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72 + 44 + 43 + 92*f + 4*f**3 - 44*f**2 + 40 - 59.\nAnswer: 4*(f - 7)*(f - 5)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 62*v**2 - 7*v - 2359. Let w(j) = 116*j**2 - 15*j - 4719. Let x(g) = -7*f(g) + 4*w(g). Differentiate x(o) with respect to o.\nAnswer: 60*o - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/27, -4\/9, 214, 7\/17?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/15095 and 32\/21133.\nAnswer: 105665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -74*t - 27. Let k be a(-5). Let b = k - 338. Solve d = -h + 3*h + 2, -b*h = d + 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8575.492 micrograms?\nAnswer: 8575492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j + j)*(-2 + 5 - 1 + (-5 + 5 - 2)*(-3 + 3 - 7)) + (2 + 0 + 1)*(-18*j - 3*j - 21*j).\nAnswer: -110*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 247776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 452465 to the power of 1\/2, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - 401\/(-7). Let a = i + -30. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 780*o**2 - 6062*o + 117. Determine k(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2, -3534, -1 in decreasing order.\nAnswer: 3, -1, -2, -3, -3534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 y when four letters picked without replacement from {y: 5, x: 2, r: 6}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 - 14 = 0. Suppose 4*n + 100 = -n. Let y be (-5)\/n + 12\/16. Solve b - j*m + 1 = 2*b, y = -3*b - 5*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0309 from 2.8.\nAnswer: 2.7691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000171523 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -8*o - 4*r + 73, 10*o - r = -10*o + 120 + 138 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 9)*(2 - 3 - 13)*(1 + 3*z - 5*z + 3*z).\nAnswer: 84*z + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 7*z**3 + 0*z**3 - 9*z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 3*u - 8 + 2*u + 2*u + 9 + 10*u - 14*u.\nAnswer: -7*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.276 - -74.8.\nAnswer: 75.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 + 0*g**2 + g**2)*(6 - 6 + 3*g)*(-112 - 13*g + 112) in the form m*g**4 + i*g + p + v*g**2 + l*g**3 and give m.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/91728 and -89\/1284192.\nAnswer: 1284192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -272?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6.05. Let o = 2.95 + j. Which is the nearest to -0.1? (a) 2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14763 divided by -21\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 1:48 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1368 and 1197?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 153487\/201 at most as big as 763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -3.7 (c) -319 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 632 = 3*j, -4*j + 258 = f - 346. Calculate the remainder when f is divided by 160.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 + 38 + 11) - (3 + -1 + -9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39ba17 (base 12) to base 11.\nAnswer: 5a1498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 65 = -5*z + 14, 17 = -3*z + h. Let s(q) = -112*q + 26. Let x(d) = -169*d + 40. Let i(r) = z*s(r) + 5*x(r). Differentiate i(o) wrt o.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t - 4*s - 8, 4*s = -4. Let f = -2 - t. Which is smaller: f or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822593 is divided by 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is -2419 greater than or equal to -4585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -0.2947?\nAnswer: 0.5947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3376 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 34. Suppose 43 = 2*r - 3. Calculate the remainder when r is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 21. Let h be 25\/10 + 3*y\/2. Let q(i) = 4*i**2 - h*i**2 - 2*i**2. Let o(l) = -4*l. Calculate q(o(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 - 257. Let u(n) be the first derivative of -23\/4*n**3 - 4 + 21\/16*n**h + 9\/4*n**2 + 0*n. Find r such that u(r) = 0.\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55166*d**3*r**3*w**2 - d**3*r*w**2 + 2844*d**3*r*w + 5*d*r**3*w + 4*r**3 wrt w?\nAnswer: -110332*d**3*r**3 - 2*d**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -1\/6*c**4 + 0 + 17*c**2 + 0*c - 1\/6*c**3. Let m be p(-2). Solve 0 = -2*v + 4, -5*a - 2*v = -36 + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.6 - 2.4. Let l = -19.0071 - b. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3 (c) 4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4503653 is divided by 1749.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -100758.\nAnswer: -1\/4798","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7381187*f**2 + 120608995*f?\nAnswer: -14762374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 28.38.\nAnswer: 27.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 160124445 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -9*q**3\/2 - 9*q. Let v(k) = -2*k. Calculate v(h(f)).\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m + 68705 - 4341 = -7534. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 988 + -990. Let z be 0\/(-4) - (-3 - 0). What is the third smallest value in z, -0.2, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**4 - 8*r**3 - 4*r**2 + 2404 wrt r.\nAnswer: -4*r**3 - 24*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0, 0.7, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j**3\/7 + 44*j**2 - 722*j\/7 + 132\/7.\nAnswer: 2*(j - 2)*(j + 33)*(5*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 13. Let j = -12.0104 - h. What is j rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 50, 62, 80, 104, 134?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 1, w: 2, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 43*a**3 + 162*a**2 + 31*a + 96. Calculate r(-4).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 4*z**2 + 3*z + 2. Let w be (6\/(-4))\/(35\/(-70)). Let v(x) = -2*x**3 + 3*x**2 - 2*x - 2. Determine w*g(m) + 4*v(m).\nAnswer: -2*m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/8 + 5*b**3\/6 + b**2. Let t(m) = 8*m + m + 0*m + m**2 + 8. Let y be t(-9). Let o(c) = -2*c - 3. What is y*o(h) + 5*j(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -628930 rounded to the nearest ten thousand?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/12 + 7*k**3\/6 + k**2 - 10*k. Let t be c(-7). Solve 4*v - 4*r - 33 = -v, 2*v - t*r - 14 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2046, 2053, 2072, 2109, 2170, 2261, 2388, 2557?\n\"Answer: m**3 + 2045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(26\/6 + 368\/(-69)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-5 - (-9 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9912 and 4840164?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 380 and 291 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3900 and 3375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 133?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.13 (b) -53 (c) 0.4 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 37370*y + 448594. Determine h(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33798 divided by -5?\nAnswer: -33798\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5 in ascending order.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-3 - 2*h + 3)*(14*h + 9175*h**3 - 979 - 936 - 9174*h**3).\nAnswer: 4*h**4 + 56*h**2 - 7660*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554852323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 4, n: 1, l: 1, w: 5, s: 1}. Give prob of picking 1 n and 1 w.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(162) + -2 + sqrt(162) + -2 + -3 + sqrt(162) + sqrt(162) + -2)**2 + 1.\nAnswer: -1008*sqrt(2) + 2789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -172.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 40 = -2*p, -5*f - 4*p = -1017. Calculate the remainder when 594 is divided by f.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -2\/21*l**7 + 2\/15*l**5 + 0 + 0*l**4 - 1\/10*l**6 + 0*l**3 + 10*l**2 + 0*l. Factor f(p).\nAnswer: -4*p**2*(p + 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143194919?\nAnswer: 7, 41, 498937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 0 + (-27 - -38)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/7 - 27571*i**4\/7 + 2181233*i**3\/7 - 4809533*i**2\/7 + 3185671*i\/7 - 529796\/7 = 0. Calculate i.\nAnswer: -6971, 1\/4, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68455 - -68457. Factor 0 - 8\/7*v**l - 8\/7*v - 2\/7*v**3.\nAnswer: -2*v*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/78 and 53\/5.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 49704.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -228, 2, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380136633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -69*y + 7. Let g be f(7). Let h = g + 541. Calculate the remainder when h is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/((-12)\/96)*1\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/15)\/((-72)\/9910). Let b be (-4)\/16 + (-665)\/12. Let z = l - b. Calculate the common denominator of z and 25\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -30*s + 119. Does 25 divide t(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1459043 - 1459043 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8601130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 142.47\nAnswer: -12.8223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-334*(-3 - -4))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*u + 8. Let a(g) = -27*g - 78. Is a(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 6 - (22 - 16)) + 4 + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**4 - 4*x**2 - 322*x + 35692 wrt x.\nAnswer: 8*x**3 - 8*x - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g + 32. Suppose 0 = 5*z + 15, 0 = -3*x + 2*x + 3*z + g. Let j(t) = -6*t. Let o be j(x). Solve 3*h = 3*m, -3*h = o*m - 2*m + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvsvsvvvvvvv. What is prob of picking 2 s and 1 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x + 22*x - 8*x - 3 - 6*x. Determine g(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*g + 69 = 0, -2*y - 2*g + 56 = -98. What are the prime factors of y?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-12)\/9)\/4)\/((-1)\/(-6)). Let u be x\/((-10)\/275) + 0 + 1. Let a = u - 30. What is the remainder when 76 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49\/3 - 17. Which is the third biggest value? (a) x (b) 5 (c) 4\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -10?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -43.063. Let q = -0.463 + s. Which is the nearest to q? (a) -0.02 (b) -2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2 + (3 + 2 - 3)*(-4 - 2 + 4) + 0 - 1 - 1 + 0 - 1 + 0)*(2*o**2 - 189830 + 1318*o + 189830) as f*o**2 + m*o + x and give m.\nAnswer: -10544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -528850888 divided by -132212722\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 3*v**3\/2 + 18*v + 4. Let f(o) be the third derivative of -o**4\/24 - o**2. What is h(f(y))?\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270.341375 rounded to the nearest integer?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 807803778 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let i(f) = -f**2 - 13*f - 9. Let c(q) = -5*g(q) + i(q). Let l = -4 + -2. List the prime factors of c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 32*o + 16. Calculate the smallest common multiple of 22 and n(-30).\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -975676908077.\nAnswer: 975676908079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((8\/(-10))\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 109*r**3\/3 + r**2 - 3*r - 50. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 9 = 34. List the prime factors of v - 2\/((-8)\/468).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51.599998033 - 51.6. Round s to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 4*o - 2*o + (2 - 3 - 3)*(-70*o + 20 - 20) - 2*o + 2*o - 2*o.\nAnswer: 282*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3 - 0) + 2)*-5. Suppose g*v + 3*m = -0*m - 1, -3*m - 6 = 0. Suppose k - v = -3*q + 11, 0 = 3*k + 2*q - 29. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 327 - 309 = -5*c, 33 = 4*t - c for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -14 (b) 3 (c) -0.5 (d) -1\/4 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11589, -11862, -12135, -12408, -12681, -12954?\n\"Answer: -273*n - 11316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -3\/8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*u = 6594 + 6342 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 234 = 4*v, 2*v - 3*y - 110 = -2*y. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39450000 rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111111001111011111010101 - -1?\nAnswer: 100111111001111011111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 5. Suppose 5*h = 6*h - 1. Let d(p) = -p + 1. Let f(z) = h*x(z) + 3*d(z). Let w be f(-8). Calculate the greatest common factor of w and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**3 + 50*l**2 - 21*l - 17. What is n(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1596 + -1580. Calculate the highest common divisor of 176 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1996*m**3*x**3 + 16*m**3*x**2 - 2*m**3*x - 2*m**3 - 759*m**2*x - 2*m**2 wrt x?\nAnswer: 11976*m**3*x + 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 20. Suppose 5*i + 84 = 1094. Suppose -555 = -5*t - 5*g, -5*t + 3*g = -749 + i. Calculate the smallest common multiple of t and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/26609?\nAnswer: 2\/26609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 27*f**3 - 312*f**2 + 321*f + 642. Let k(h) = 22*h**3 - 312*h**2 + 321*h + 640. Let d(x) = -6*k(x) + 5*n(x). Factor d(o).\nAnswer: 3*(o - 2)*(o + 1)*(o + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -20. Let y = v + -17. Is y != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80707 divided by -6?\nAnswer: 80707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 28 - 2*o**2 + 2*o + 2*o**3 + 1\/4*o**4. Determine k(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*k - 18 - 17, 3*k = -2*r + 30. Suppose 11 = -4*f - r. What is the nearest to -2 in f, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose 0 = 3*q - q. Let z = -21.8 + 21.4. Sort q, j, z in ascending order.\nAnswer: z, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1000100100010001?\nAnswer: -1000100100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 291.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 11*s**2 - 101*s - 21*s**2 + 103*s - 21*s**2 - 3 to the form r + f*s**2 + w*s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 460314 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/4)\/z*z\/(z\/((z*((z*z\/(z\/z**(-16))*z)\/z)\/z)\/z)))\/(z*z\/(z*z\/((z*z*(z\/((z*z**(-7))\/z))\/z)\/z))*z**(-2\/17)))**(-5\/8) assuming z is positive.\nAnswer: z**(8715\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 z, 1 f, and 1 c when four letters picked without replacement from {j: 1, z: 2, h: 1, f: 1, c: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Let l(j) = j**3 - j**2 - j + 3. Let i be l(d). Let p = 53 + i. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - s + 1. Let n = 3 + -3. Suppose 0*a - 2*a - 4 = n. Calculate i(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411 divided by 3\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4*(-3)\/6)\/1. Let r(k) = -11999999*k**3 - 3 + y - 5*k**2 + 7*k**2. Let x be r(-1). What is x rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212 - 10?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 26 - 6*o + 3 + 13.\nAnswer: -6*o + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 3. Let d be ((-3361)\/8)\/(s\/52). Let i = d - 4358. Find the common denominator of i and -77\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 2*c**2 + c)*(-266*c + 200*c**2 + 266*c) - 2*c**4 + 2*c**4 - 2*c**4 in the form w*c + u*c**4 + i + y*c**3 + b*c**2 and give u.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 1 = -2*z + 4*i, -10 = z + 2*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/4)\/((-10764)\/(-864)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 592 = 48. Let c = 11 - 6. Suppose j - y = -c. Solve -3*h - 3 = 0, 3*l - h - j = 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 62, -2\/7, 0, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 3*v**4 - 7*v**4)*(-3 + v + 3) - 2*v**5 + 4*v**5 - 4*v**5 + 2*v**3 - v**5 - 2*v**3.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277051\/28 + -9898. Let v = 48040 - 528417\/11. Find the common denominator of v and m.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 + 220. Let o(m) = 12*m**2 - 658. Give 6*o(p) + 19*q(p).\nAnswer: -4*p**2 + 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let q be w(-3). Let u(l) = l**q + 4*l - 4*l. Let k(r) be the third derivative of -r**4\/12 + 100*r**2. Calculate k(u(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(5\/3)*n**(-20)\/n assuming n is positive.\nAnswer: n**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1977 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690 smaller than 773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t - 7. Let w be (-20)\/t + 4\/(-18). Let x = -368579 - -368579. Solve x = -c - c - w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1800) - sqrt(1800)*2) + sqrt(1800))\/sqrt(9))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/(-1536)*(-7 + 3). Which is the nearest to j? (a) -64 (b) 0.1 (c) 5\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 27170*j + 3230. Let z(p) = 101*p + 12. Determine -6*v(n) + 1615*z(n).\nAnswer: 95*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/192 and -79\/336.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 3656, 8226, 14624, 22850?\nAnswer: 32904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*j - 463*j + 236*j - 679 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1434 + -1397. Solve -w = -m + 36 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70605 and 85.\nAnswer: 1200285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 194017410 a multiple of 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*i = 292, 90 + 199 = -5*m - 3*i. Which is the second smallest value? (a) m (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.78 less than or equal to 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000665 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiaigiaigigh. Give prob of sequence iaa.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/58 + (-2)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/456)\/(2\/(-5042)). Let a = 40\/19 - o. Let z = a - 46. Sort 1\/2, z, -1 in descending order.\nAnswer: 1\/2, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-3))\/(6\/117) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) 29 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3*i**5\/5 + 51*i**4\/4 - 20*i**3 - 54*i**2 + 1385. Solve v(t) = 0 for t.\nAnswer: -18, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-21)\/7)\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 17\/42. Let w = -21113 + 21109. Which is the nearest to -1? (a) 0.9 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -19 - ((-5053016)\/1806)\/148.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (8835\/(-20) - 22)*(-4)\/10*388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 - 8 = 0. Suppose o + 17 = v. Let t = 3 + v. Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831698 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104\/(-156) + (0 - (-52)\/42). Do r and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -941, -2088, -3689?\nAnswer: -5744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 147443, 294884, 442325, 589766?\n\"Answer: 147441*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9652480 rounded to the nearest one hundred thousand?\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1771*i**3 + 22*i + 0 + 1770*i**3 + 0 - 19*i - 2 - 71*i**4 to q*i**2 + x + m*i**4 + j*i**3 + t*i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 162\/31?\nAnswer: 162\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/2))**34*(y**(-2\/9)*y*y)\/((y\/y**(-13)*y*y)\/y) assuming y is positive.\nAnswer: y**(646\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + 7 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-2\/7))**(-17)*(v*v**(-7\/2)\/v)\/(v\/v**(2\/7)))\/(((v**(-2\/5)*v*v*v)\/v)**(-19)\/(v\/((v\/((v\/(v**(2\/7)\/v))\/v))\/v))**(1\/26)) assuming v is positive.\nAnswer: v**(-2631\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16157, -16187, -16217, -16247, -16277, -16307?\n\"Answer: -30*x - 16127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -410 - -412. Solve 9*y - l = 2*s + 4*y, -4*s = -5*y + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 4, 35, 615, 0 in descending order.\nAnswer: 615, 35, 9, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 507, 761, 1015?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*x - 6 = 0, -5*x - 1 = 2*l + 9. Let a = l - 2. Suppose 2*g - a*g = -6. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3209 and -4.\nAnswer: 12836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a factor of 552362119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 1316172?\nAnswer: 3948516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffm. What is prob of sequence fm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/4))\/d**(-5))**(16\/5) assuming d is positive.\nAnswer: d**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(3627\/(-3100)). Let c be 2\/(-6) + (-22)\/78. Let o = h + c. Sort 1, -1, o, 0.5 in decreasing order.\nAnswer: 1, o, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2638 in -1, 1, -6, -528?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*c**5 - 35\/4*c**2 - 5\/2*c + 0 - 45\/4*c**3 - 25\/4*c**4 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -340092.88 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*v + 13 = -3, -v - 5 = 0. Suppose 2*t + 459997 = -g, 5*t + 1149997 = -4*g + l*g. What is t rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5993920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.0669 + -8.1669. Let o be 0 - ((-1)\/1)\/1. Which is the nearest to -2? (a) -0.1 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and 8370044.44?\nAnswer: 8370028.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -a - 21, -3*a = -12*o + 8*o + 42. Let l(g) = -9 + 0*g + 33 + g. Calculate the smallest common multiple of l(a) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 29*d**2 + 32*d - 106. What is h(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 - -2?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9) - (-7)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (82\/(-8) + 10)*(-12)\/(-8). Sort -1, 1, -30, k in descending order.\nAnswer: 1, k, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32675, 65347, 98021, 130697, 163375, 196055, 228737?\n\"Answer: o**2 + 32669*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) 0.05 (c) 0.2 (d) 1344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:34 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14. Let f = 37 - -3. Suppose 30 = 3*o - 3*q, -u*q - 2*q - f = -3*o. What is the remainder when 9 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n - 6*n)*(-2*n**3 + 0*n**3 + 0*n**3)*(135*n + 257*n - 102*n).\nAnswer: 580*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 3*x**2 + 1. Let c be y(2). Let k(b) = -b + 1. What is k(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4180 and 7696235?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2112)*-5)\/(-1*(-2*sqrt(108) + sqrt(108))) + -3.\nAnswer: -3 + 40*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -179, -605, -1281, -2207?\n\"Answer: -125*m**2 - 51*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3189, 6382, 9575?\n\"Answer: 3193*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 4*q - 45, 2*z - 5*q + q = -30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*v + 35, 2*v - 5*o = -18 + 39. Let g be ((-1 - -3)\/v)\/(-1). Solve -3*t = -3*x - 2 - g, 0 = t + x - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 9*k + 3700. What is k rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85529627?\nAnswer: 85529627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75130 - 5303*y**3 - 75130 - 5306*y**3 + 10610*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*f**2\/11 - 920*f\/11 + 8464\/11 = 0. What is f?\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19744 - -19741. Let h(g) = 4*g - 1 - 2*g + g + g**2. What is h(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5316.423 millennia in centuries?\nAnswer: 53164.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6 + 5)*(-t**2 - t**2 + 4*t**2) + (3*t + t - 3*t)*(-2*t - 3*t + 3*t) to p*t + v*t**2 + x and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6787 = 172*z - 4909. Suppose -4*g + 5 = 2*y - 15, 3*y - 2*g - 62 = 0. Calculate the remainder when z is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + (0 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3*x - 300, -14*n = -11*n + 4*x + 272. What is the nearest to n in -4\/7, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 7*u + 11. Let c be k(-8). Solve s + 5*q = 8, -10 = -2*s + 4*s - c*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*o + 44 = -9, -2*g - 90 = -4*g - 5*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - (-34)\/51. Find r, given that -c*r**4 + 4\/3*r**3 + 2\/3 - 5\/3*r + 1\/3*r**5 + 2\/3*r**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20011 (base 3) to base 15.\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s - 1. Let l = 0 - 0. Suppose 2*w + 0 + 12 = l. Calculate the remainder when z(w) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200440 (base 6) to base 15.\nAnswer: 311e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 1171*x**6\/30 - 847*x**4\/3 - 1465*x + 2. What is the third derivative of f(d) wrt d?\nAnswer: 28104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19240\/19 - -1013. Is 0 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(4*sqrt(4)\/sqrt(2)))\/(3*1*sqrt(162)*-1).\nAnswer: -sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15250*c**2 - 81528*c**2 - 409*c**2.\nAnswer: -97187*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -64. Suppose 6*w - 4*w + q = 791, b = 5*w - 4*q - 1984. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 573 + -561. Let u be (-11*8\/(-264))\/(2\/96). What is the highest common divisor of k and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8)*(-4)\/6*-213. Suppose 11*j + p = 12*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405388.\nAnswer: 2, 101347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.289 + 0.111. Let j = a + -30.4141. Round j to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 18.16\nAnswer: -127.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 - 10*n + 2. Let h be j(-5). Let i = h - -2. Solve 12 = -0*z - i*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22187, 22161, 22135, 22109, 22083, 22057?\n\"Answer: -26*z + 22213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -20*o + 23*o. Suppose -k = -k + o*k. Let j be (-10 - k)*(-1)\/2. What is the biggest value in 0.5, -0.29, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209431 - 209431 - 371*u to the form q*u + x and give q.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 541 - 9 = 0. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/111, -2, -11 in ascending order.\nAnswer: -11, -2, -1\/2, 2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/21576 and 65\/2049038.\nAnswer: 713065224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3292756 is divided by 102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1853, 1850, 1847, 1844, 1841, 1838?\n\"Answer: -3*x + 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -63*w**2 + 1901*w + 1580. Give u(31).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4724047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -161644 in -0.4, 0.1, 0.3, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007499552607 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) - (-140)\/306. Suppose -4*v = -72*v - 68. Which is bigger: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 8*a = -4202. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532.0365 weeks to microseconds.\nAnswer: 321775675200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 16\/5, -3\/8, 0.53, -5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:39 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*r - 7, l - 113042*r = -113044*r - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**13*g*g*g)\/g)\/(g*(g\/g**8)\/g)*(g*g\/g**(-1))\/((g*g**(-13)*g)\/g) assuming g is positive.\nAnswer: g**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 - 43. Suppose -2*o + 0*o = -b. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 1.9. Let s = -2.1 + f. Let g be (96\/120)\/((-2)\/(-5)). Put g, -0.5, s in decreasing order.\nAnswer: g, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (176\/(-10))\/(26\/(-10790)). Let o = k + -1005. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**6\/120 - n**5\/4 - 5*n**4\/8 + 4*n**3 - 2*n**2 + 1. Let h(s) be the second derivative of c(s). Is h(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 31068*b + 1770154.\nAnswer: 2*(b + 57)*(b + 139749)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/10)\/(-4)*-10. Is d*((-1)\/(-2) - 2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*n + 28, 0*n = 5*k + 4*n - 10. Suppose -3*v = -3 - k. What is the third derivative of 0 - 4 - 3*q**4 + v*q**2 + 4 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 1 + 32 - 3*p - p.\nAnswer: -4*p + 240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-27))\/(3160\/102384)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - n**2 - 3. Let z(m) = -16*m**3 + 6*m**2 + 16. Let d(l) = -11*t(l) - 2*z(l). Determine d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178275059?\nAnswer: 109, 1635551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*m - 1724 = -601 + 5051 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z - 3. Let d be s(-2). Let k(c) = 12*c**2 + c - 5. Let v be k(d). Calculate the common denominator of 79\/10 and (-3)\/(-6) + v\/(-32).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 7*x**2 - 5*x - 5. Let s be r(6). Let v(z) = z - 4. Let w be v(6). Solve w*y + 7 = -s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 68 + -26 + -17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 - 5*y**2 + 5*y + 7. What is the remainder when r(-5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**3 + 216\/5 + 222\/5*h**2 - 396\/5*h + 3\/5*h**4.\nAnswer: 3*(h - 6)**2*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-2*d - d - d)*(15*d + 43*d - 244*d) + 4 - 4 + 11*d**2.\nAnswer: -1477*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 320 - 229. Let s(f) = 6*f - 5. Let v = 40 + -37. Let g be s(v). Calculate the greatest common divisor of r and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2 - 1. Let u(h) = -2*h**3 + 3*h**2 - 4*h + 12. Let w(v) = -3*c(v) - u(v). Does 12 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26345415 + -122?\nAnswer: -26345540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*x - 61, -2*x - 47 = 3*h + 2*x. Let n be (-6)\/h + (-64)\/90. Let w = 1337083\/7 + -191012. Which is the smallest value? (a) 0.2 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 7) to base 12\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)*t\/(t\/((t*t**(-1\/26))\/t))*t assuming t is positive.\nAnswer: t**(73\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4297438746940 plus 25?\nAnswer: -4297438746915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*f + 682*f + 61665 = -957*f + 10410 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-96\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 11*z + 14. Let m be c(-12). Suppose 4*i - i + 2*n = m, 0 = -4*i + 4*n - 4. Suppose i = d - 4*d. Solve 0*f - f - 2 = d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1252569*a + 43*a**2 + 1252569*a.\nAnswer: 43*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-96 - -102)*(-10)\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733232635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 420\/8 + 7755\/330\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3378554604.\nAnswer: 2, 3, 2551, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and 1\/(4*(-9)\/39)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(42)\/sqrt(7)) + (-1 + sqrt(11))*3.\nAnswer: -3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*y - 128024 = 1366*y + 612*y for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 90 = -3*h, -134 = 4*h - 8*h + 8*h - 2*z for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-10)*g\/g**(1\/2)*(g*g\/g**(-9)*g)\/g*g*(g*g**2)**(-50)*g\/(g*g*g**5\/g)*g\/(g*g**(-3\/5)\/g) assuming g is positive.\nAnswer: g**(-1409\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9ce - -56?\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: d95 (base 14) to base 15\nAnswer: bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10046\/12545 - 2\/2509. What is the nearest to 0 in 7\/2, n, -123?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 18 = -4*i. Let u be -3*(20\/(-6) - i). Solve 2*r + 12 = -u*f, 0 = -4*r - 4*f - 1 - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 8*k = -223 - 932. Let q = 34 + -20. Calculate the greatest common factor of q and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12116249.\nAnswer: 311, 38959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8040 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 178 = -94. Calculate the greatest common divisor of k and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**6\/3 + 5*o**4\/2 - 4*o**2 - 62. Find m, given that k(m) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5 = -19. Let n(s) = 11*s - h*s - s - 5*s. Let v(j) = -5*j + 7. Determine n(v(p)).\nAnswer: -5*p + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6\/5 + 19\/5*a**2 - 41\/5*a = 0.\nAnswer: 3\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548*u + 575*u - 7992 = 0. Solve u*z - 295*z + 5 = p, 0 = -p + 2*z + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 15719 = 15791 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r + 36 = -93 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12893 + -259?\nAnswer: 12636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/10*40\/(-1320)*6?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 873\/52 - 150\/13. Let p = 1864 - 1665.4. Let x = 198.2 - p. Which is the second biggest value? (a) r (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 1 - (-36 - (-23 + -11))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 695822889026093.4000059 - 695822470244884.4. Let k = h - 418781226. Let s = k + 17. What is s rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Find the common denominator of -89\/22 and w\/(-18)*(-278)\/(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 4*x - 2*x)*(46 - 23 - 133)*(2*x - 1 + 1) to the form q*x + i*x**2 + f and give i.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j**3 + 10*j**2 - 6*j + 104. Let v(a) = -a**3 + a**2 - a + 1. Let n(h) = -d(h) + 6*v(h). What is the derivative of n(q) wrt q?\nAnswer: 6*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r - 29 = 86*r + 3*a, 0 = -4*r - 5*a - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgtjtststssgt. Give prob of picking 1 g, 2 s, and 1 v.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1, -0.2, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 87*i**3 - 585*i**2 - 675*i.\nAnswer: -3*i*(i - 15)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 10970.\nAnswer: 7\/2194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5782, 5786, 5826, 5920, 6086, 6342, 6706, 7196?\nAnswer: 7830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*r - 55. Let u = r - 14. Let y = u - -16. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8 - 5496*q - 5 + 3910*q. Let r be j(-4). Suppose -4*a = 6*k - 3*k - r, -4*k + 8412 = -2*a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w + 9. Let h(j) = 13*j + 9. Let z(y) = 3*h(y) - 2*o(y). Is 47 a factor of z(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4) - 0)\/(1558\/(-41) - -36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415422 divided by -523.\nAnswer: -415422\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9852.3591 + 6.4409. Round d to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 2, r: 1, n: 2, b: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/2 (b) 3690 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 570 + 570.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115138*b = 115055*b - 1577 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 5*y**2 + 5*y - 6. Let c be m(-6). Let h(g) = 0*g**3 - g**3 - g + g**2 + 2 + 0*g**3. What are the prime factors of h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v - 179 = 5*v + 241 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(153) - (sqrt(153) - (sqrt(153) + -1*sqrt(153) - sqrt(153))*3))*3)\/(-1*(2*sqrt(72))\/sqrt(8)).\nAnswer: -45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 1 (c) 21 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2446 + -2446.02622. What is p rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37711636 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117, 2210, 3291, 4360, 5417?\nAnswer: 6462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 2*h - 7. What is f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-27)\/(-2)) + 240\/675.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 8*v**2 - 3*v + 70. What is t(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01481 - 0.3264.\nAnswer: -0.31159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 507\/20 - 14010\/3736. Find m, given that x + 168\/5*m**3 - 4\/5*m**5 + 348\/5*m + 392\/5*m**2 + 12\/5*m**4 = 0.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.048, -4, 0.5, 2\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.08 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12469755 and 3555?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -20. Suppose 75 = 4*i + i - 5*h, 0 = -q*i - h + 93. What is the greatest common factor of i and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1836002.\nAnswer: 2, 7, 131143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68\/(18\/30 - (-16)\/(-10)). Let x = c - -72. Differentiate -9*m**2 - 1 + 10 - 1 + x wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 8:47 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -50, -59, -82, -125, -194, -295?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 2, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 323643*b + 25829.\nAnswer: 323643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 8*s**2 - 6*s - 8. Let a be h(7). Let w be (-16)\/((16\/4)\/4). Let d be 4\/w + 54\/(-8). Put a, 2, d in decreasing order.\nAnswer: 2, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -5, 0.5, -473 in descending order.\nAnswer: 0.5, 0, -0.3, -5, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(200) - (1 + sqrt(200) + -1)) + 3)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1561\/4 in -1, -2\/15, -2, -374?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 161, 313, 459, 599, 733?\n\"Answer: -3*c**2 + 161*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - (-2 + -11))\/3. Which is the closest to -0.2? (a) 0.04 (b) 2\/9 (c) 0.03 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (16 - 24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + 17. Let w = o + -52.1. Let y = w + 12. Which is smaller: y or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22830663 divided by -5799.\nAnswer: -3937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = 4*q, 0 = -3*q - 2*q - 3*t - 2. What is the smallest value in q, 3\/7, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 465762 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 5. Let c be g(9). Suppose c*b = -2*u - 10, -4*b - 4 = 5*u - b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -48, 4 in increasing order.\nAnswer: -48, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -8) + (6 - 0) + (1 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 150254881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 354 (base 8) to base 7\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -66, -133, -218, -315?\n\"Answer: f**3 - 18*f**2 + 4*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -3 (c) 2\/3 (d) -5 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/((-276)\/(-483))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9147*o**2 + 29*o - 19. Let t(g) = -9146*g**2 + 30*g - 18. Let p(x) = 2*n(x) - 3*t(x). Find the second derivative of p(l) wrt l.\nAnswer: 18288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) - 24\/(-14). Let o = 7 + -3. What is the least common multiple of -1 + -2 + r + 5 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**2 - y**3 + y**3 - y**4 - 2*y**4 - 9*y**3 + 0*y**3 to the form q*y**4 + l*y**2 + x*y + k + z*y**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216203 - -216203.279974. Let y = -0.52 - -0.8. Let c = y - k. Round c to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0 - 2 + 8 + 2*t - t**2. Let i be r(-2). Let j be (-2)\/(-8) + (-3)\/(-24). Which is the biggest value? (a) 4\/5 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-1)\/3*0. Factor 16 + 0*o**2 - o**2 - 16 + s*o.\nAnswer: -o*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**2 + 164*q + 19*q**2 - 164*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = -14484 + 14583 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 169*x**2 + 5882*x + 34. Determine f(-35).\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-2 + -3)) + 533 + -464?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997243 is divided by 158?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.84, -5, -67, -0.2 in decreasing order.\nAnswer: -0.2, -0.84, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/4*632\/474?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 45*x + 150.\nAnswer: 3*(x - 10)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6171)\/(-4) - 2) + (-16)\/(-64) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - 2*x**2 + 7*x + 2. Let v be k(-2). Calculate the lowest common multiple of (116\/87)\/(v\/18) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z - 35 = -4*v + 12, -v - 41 = -3*v - v + 32*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s + 6. Let o be b(-6). Suppose -v - 4*l = 4*v - 26, o = -v - l + 6. What is the lowest common multiple of 11 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (159 - (104 - 38))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*r + 5*g - 11, -5*r = g + 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 4*a + 2*a - 3*a + 2*a + 3*a + (-1 + 1 - a)*(1 + 0 - 2) + 89 - 89 - 13*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8268252 + -5248252. Round b to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9392.635kg?\nAnswer: 9392635000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let v(w) be the second derivative of w**7\/315 + 5*w**4\/12 + w. Let m(r) be the third derivative of v(r). What is m(b(z))?\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 17 + 208)*(3*d**4 + d**4 - 7*d**4 + (-d + 4*d - 4*d)*(-2*d**3 + 2*d - 2*d)).\nAnswer: -209*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*v + 52. Suppose 0 = 2*d + 3*d - v. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/12813 + 158035\/51252. Calculate the common denominator of t and -41\/2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*24\/(-150)*5\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14877000 to the nearest one hundred thousand.\nAnswer: 14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:24 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13907502 by -13907502.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 118 - 238 + 123. Let b(a) = -a - 3. Let x be b(-7). Suppose 5*d - 59 = -x. Let t(k) = -10*k + 15. Determine d*u(h) - 2*t(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42253867 and 2086.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1624189 or 1?\nAnswer: 1624189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**9)**(21\/5) assuming u is positive.\nAnswer: u**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = -5*w, -2*h - h = w + 3. Is 4 a factor of (-5 + w)*(-5)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*z**4 - 12297*z**3 + 687388*z**2\/3 - 300044*z\/3 + 33136\/3 = 0. What is z?\nAnswer: 2\/9, 19, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (-5*(sqrt(300)*2 - sqrt(300)) + 3 + 1*sqrt(300))*-6 + 4 + -2)**2.\nAnswer: -9120*sqrt(3) + 173161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/4 - s**2\/2 + 68*s. Give k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 - 213. Suppose 0 = a + 66 - n. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 less than -123.91820124244?\nAnswer: -93.91820124244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 40*y + 30 - 124*y.\nAnswer: -164*y + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 72 = 3*y. Suppose -3*v - x = -33, 2*v - 5*v + y = -2*x. Let t be (8\/v)\/(-2) - 0. What is the smallest value in t, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 33. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 204095.\nAnswer: -1224570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 33373?\nAnswer: -33373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 + 3*h**2 - h**2)*(7*h + 4*h + h)*(35*h + 3 + 44*h - 75*h) in the form w + s*h + o*h**3 + p*h**4 + l*h**2 and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q + 90. What is b(-8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7567*l = 312457 + 65893 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/3, -51.1 in increasing order.\nAnswer: -51.1, -4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5100*f + 1083*f = -1230*f - 884*f + 149346 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355*v**6 + v**2 - 101*v - 381*v + 459*v**6 - 1226*v**4 - 364*v + 1230*v**4 wrt v?\nAnswer: 97680*v**3 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3903 * -0.1\nAnswer: 390.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -3, -3*r = 5*y + 8. Let b(d) = -d**2 - 3*d + 5. What is the units digit of b(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 208*n**2 + 4*n + 843. Let a(x) = -x**3 + x**2 + x - 2. Let v(w) = 4*a(w) - h(w). Differentiate v(o) wrt o.\nAnswer: -6*o**2 - 408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13155 + -13141. Let h = -0.1 + 4.1. Which is the second biggest value? (a) -1 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-23*a - 9*a + 11*a)*(2*a + 0*a + 0*a)*(a - 4*a + 2*a) as k + y*a**3 + d*a**2 + r*a and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -150, 4, 2, 6, 14 in ascending order.\nAnswer: -150, -4, 2, 4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -44. Sort 4, -4, -3, w.\nAnswer: -4, -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 5. Let w be d(5). Let j = -7 - -12. Solve j*a - 7 = i, w = -a - 2*i - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 4) + 2 + -26\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.480689cm to kilometers.\nAnswer: 0.00003480689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2270422.17 to the nearest one hundred.\nAnswer: 2270400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1182250276 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 9) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -15 + -14 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85147.\nAnswer: 85147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3277*h - 67953 = -26789 - 22335 + 154852 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14125884?\nAnswer: 2, 3, 1177157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405446 divided by 6.\nAnswer: 202723\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 3\/7 (c) 24 (d) -0.103 (e) 3 (f) 14\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146 by 105337.\nAnswer: 146\/105337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*f + 6*f. Suppose -b - f*b = -213. Let k = b - 50. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.03 (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 + 45*z**2 - 72*z + 25. Calculate m(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 5*m + 27. Which is greater: 24 or m?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 1\/8*r**4 + 105*r + 107\/4*r**2 + 1225\/8.\nAnswer: (r + 5)**2*(r + 7)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76621752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 19335 = k. Suppose 1305 = -0*r + r + 3*f, 5*r - 5*f - k = 0. Let d = 2854 - r. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1028741, -1028740, -1028739?\nAnswer: -1028738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let t(b) = -4*b**h + 2 + 1 - 3. Let q(v) = 3*v**2 + 19*v - 23*v + 4*v. Give t(q(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.2, 3, 0, -25 in increasing order.\nAnswer: -25, -0.2, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -52282 * -0.2\nAnswer: 10456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556, -2990, -9258, -21280, -40976, -70266?\nAnswer: -111070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 9)\/((-1)\/(-3)). What is the tens digit of (-3)\/2*442\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 0 + 53\/17. Let h = -150.2 - -150. Sort c, -6, h.\nAnswer: -6, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -846.08 + 0.1547.\nAnswer: -845.9253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*(-9)\/(-6). Let p be (k + 3)*4\/2. Suppose 0 = 3*j - 0*j + 5*r - 147, 0 = -3*j - r + 135. What is the highest common factor of p and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-16)\/(-4))\/(-1). Solve i = -4*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -132.1. Which is the closest to -0.2? (a) 0 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1)\/(1*-1). Let d be (8\/(-6))\/((-754)\/351 - -2). Let p be (-6 + d)*a\/2. What is the second biggest value in 3\/4, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184717670 to the power of 1\/2, to the nearest integer?\nAnswer: 13591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**2 - 3*m - 1. Calculate h(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -3 (c) 3 (d) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 3785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzm when three letters picked without replacement from {j: 3, m: 2, f: 7, z: 7, c: 1}?\nAnswer: 49\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022428 rounded to 4 dps?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, 5\/2, 2\/21 in descending order.\nAnswer: 3, 5\/2, 0.5, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 8962.\nAnswer: 45\/8962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5054.354 micrograms?\nAnswer: 0.000005054354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -7*n**6\/40 + 11*n**3\/3 - 5*n**2 - 2. What is the first derivative of m(f) wrt f?\nAnswer: -63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ubuuubuu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**4\/6 + 6*r**2. Let x(h) = 2*h. Calculate p(x(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-55))\/(12\/(-15))*26\/(-221)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iknxbkox. What is prob of sequence koni?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5505919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3585071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -1 + (8 - (3 + -5)) + -11.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 - 131304*l**2\/5 - 6537075*l - 407981250.\nAnswer: -3*(l + 125)**2*(l + 43518)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 495514081 to the nearest 100000.\nAnswer: 495500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1 + 3 + 1 - 6. Let o(r) be the first derivative of r**2 - 8 + 3*r - 2\/3*r**3. Give -o(d) - 2*y(d).\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.12008 less than 0.4?\nAnswer: -9.72008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77472 and 96.\nAnswer: 77472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 13 = -6*a - 2*r - 1, -a - 6*a - 5*r = 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 12\/5*h + 16\/5 + 2\/5*h**2 = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 - o**3 - 1352937*o**2 - 3*o - 6927893 wrt o?\nAnswer: 12*o**2 - 6*o - 2705874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66321521 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1844502.\nAnswer: 3689004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 13*j - 3. Let u be i(-6). What is the nearest to 0.02 in -1, 4, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -25.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*((-9)\/3)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 25*i**2 - i + 29. Let h be g(25). Suppose 0 = h*v - 8. Suppose 4*u + 364 = 3*y, v*u + 3*u - 96 = -y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, 4, -3 in ascending order.\nAnswer: -273, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21778 + 21781. Solve w*r = 2*m + 25, 4*r - 2*m = m + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:08 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121507 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 115.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let t = 478.1 + -478. What is the nearest to m in 3\/8, t, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 4*r + 2. Let c(m) = -3 + 4 + m**2 + m + 0. Let u(n) = 2*c(n) - g(n). Find the second derivative of u(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 9*i = 45. What is the units digit of (-2)\/i - (7315\/(-25) - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24)*3)\/((-23)\/46).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -23*u**3 - 3*u**2 + 3*u. Let t(b) = -8*b**3 - b**2 + b. Suppose 11*o + 43 + 23 = 0. Let q = 53 + -36. What is o*h(v) + q*t(v)?\nAnswer: 2*v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1240604471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*n - 3. Let f = -183 - -183. Sort f, -2, n in descending order.\nAnswer: f, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -793*d + d**2 + 793*d. Let x(g) = g - 3 + 3. Determine p(x(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 22*y = 17*y - 48, 21 = 3*v - 2*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 12. Let a(y) = -1. What is 36*a(l) + 3*b(l)?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339184.\nAnswer: 2, 17, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 777059354 to the power of 1\/3, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3683, -7368, -11053?\n\"Answer: -3685*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5944 - -0.4056. Which is bigger: q or 0.01111?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 517\/5278 + 1\/182. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941*g + 44108 + 494 = -172*g for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + 11*o - o**2 + 10*o + 5*o in the form p*o**2 + c*o + v and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 4*z - 2. Let o be p(4). Suppose 0 = 2*c + 29 - 29. Let q be (-1 + o)\/(1 - c). Solve -3 = 5*a - 4*h - 34, q = 3*a - h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -783*k - 10189. Determine i(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 4 = -8*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9280*r + 174327 + 164805 - 86617 = -304285 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*d + 135, -5*v - d + 136 + 11 = 0. Suppose -4*g + 7 + v = 0. Let s(r) = r**3 - 7*r**2 - 13*r + 8. Is s(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 + 3*b**2 - b + 1. Suppose 4*q - x - 38 = -3*x, 0 = -4*x + 20. Let r = 30 - q. What is the remainder when i(2) is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-200)\/(-40) - 2\/(-1). Solve q + 5 - c = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*k = -16, 3*r - 6*k - 21 = -3*k. Let u be 5 + -1 - (-2)\/r. Suppose -3*j + 4 = 1. Calculate the highest common divisor of j and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, -14, -99, -208, -335, -474?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -109. Let s be 10*1\/(-2) - h. Let t = 36 + s. Solve 6 - t = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 15*g - 14*g - 14 = 0, 558*o - 42 = 560*o - 6*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35831, 67429, 99027, 130625, 162223?\n\"Answer: 31598*z + 4233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125\/603 - -1\/67. Let p = 7 - 5. What is the closest to p in 3\/4, -3, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**3 - 5*m**2 + 5*m. Let y be ((-32)\/(-40))\/((-2)\/10). Let r(d) = 5*d**3 - 4*d**2 + 4*d. What is y*w(n) + 5*r(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -7. Let k = -0.16 + 0.16. Let s = -6.42 - -1.42. Put k, s, z in descending order.\nAnswer: k, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -20532?\nAnswer: -20531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-106)\/(-8) - 5\/20). Let a = 244396\/7 - 35112. Let g = a + 198. What is the second smallest value in 3\/5, -5, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d + 2. Let w(k) be the first derivative of -19*k**2\/2 + 5*k + 1. Let n(q) = 6*w(q) - 13*x(q). Differentiate n(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144901 is divided by 74.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*c = 99*c - 2*h - 67, 5*h + 175 = 9*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 - 466*h**2\/9 + 1300*h\/9 + 18400\/9.\nAnswer: 2*(h - 230)*(h - 8)*(h + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 657331171 and 469?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*k + 9, 5*v + 3 - 10 = 3*k. Let w = -25.5 - -26. Let o = 1.3 - 4.3. Which is the nearest to 1\/4? (a) o (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 8*l**2 + 5*l - 3. Let y be q(8). Let t = y - 18. Let m = 7 + t. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + (0 + 2 - 3)*(1 + 1 + 0) + 2 - 2 + 2)*(73*u**5 - 339*u**3 + 339*u**3).\nAnswer: 73*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*m - 510, -3*j - 2*m = -3*m - 314. Let l be (-5730)\/(-50) - (-2)\/5. Let v = j - l. Put 3, v, 5 in ascending order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 - 6*r**2\/7 - 4*r\/7.\nAnswer: -2*r*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1887, -1865, -1829, -1779, -1715, -1637?\n\"Answer: 7*l**2 + l - 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/2 - 25\/10. Is ((-332)\/6)\/(d\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:41 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 11, h: 6}. What is prob of sequence ly?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 164 = -148. Is 17 a factor of t\/(-6) + (-3)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 7*i - 5. Let l(n) = -n. Let q be l(i). Suppose -w = -6 - q. Find the common denominator of w and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.1 (b) 2\/3 (c) 3731981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/3 - 2)\/(-5 + 6). Suppose -3*a = -t*a - a. Suppose -z - 4*b + 47 = -a*z, -3*z + b + 128 = 0. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21683263 (base 9) to base 3.\nAnswer: 201202210022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -97. Let g = p - 40. Calculate the lowest common multiple of g and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16792005 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 342628070.\nAnswer: 2741024560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d - 58. Determine p(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 - 3*q**2 + 4*q**2)*(2*q - 2*q + q) + 1586*q**3 - 781*q**3 - 784*q**3 to p*q**3 + j + k*q**2 + s*q and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400032.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/28, -1\/4, 0.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6544?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -11, -7, -1\/5, 5, -15.2, 2\/171?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11991513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226587 - 225691. Factor m*d + 386\/7*d**2 + 6\/7*d**3 + 2048\/7.\nAnswer: 2*(d + 32)**2*(3*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 198 + 3d18d?\nAnswer: 3d336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 3*f - 4*f)*(-194*f + 10*f - 146*f)*(4*f + 14*f + 20*f) in the form u + t*f + q*f**3 + r*f**2 and give q.\nAnswer: -25080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -35 (c) -25 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3 = g. Let k = g - 0. What is the units digit of (5 + -7)*k\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2322 and 223299?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.2. Let o be 2 - 2 - (-2 - -1). Let m = -1785.1 + 1789.1. Which is the nearest to o? (a) k (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 1\/10, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -135. Let z = -243 - v. Let k = 141.588 + z. Round k to 2 dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0*l - 1\/112*l**8 + 3*l**2 + 0 + 0*l**4 + 0*l**7 + 0*l**6 + 0*l**3 + 1\/12*l**5. Find the third derivative of a(m) wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n - 8*n**2 + 15*n**2 + 3*n - 7 + 1. Let t = -17 + 28. Let y(j) = 11*j + 4 + 4*j**2 - 4*j - 17*j**2 + 7. Calculate t*g(w) + 6*y(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:03 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.5 - 29.5. What is the biggest value in -2\/13, p, 6\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 14) to base 2\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 31 (c) 3\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*b + 2. Suppose -4*p + 2070 = -5*u, -4*p = 2*u - b*p + 810. What is u rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17010 divided by -5670.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -19, 4, -100, -1 in increasing order.\nAnswer: -100, -37, -19, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*s + 8*o - 4, s - 11 = 5*o. Let i = -8\/15 - 3\/10. Which is the second biggest value? (a) i (b) 2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 (base 9) in base 14?\nAnswer: 72d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/199, -0.3, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 7:59 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 10)\/(1\/(-3)). Suppose y + 0*g - 2*g = -14300, -4*y + w*g = 57200. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, 746, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -212, 126, -3 in descending order.\nAnswer: 126, -3, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - ((11 + -28 - -1) + (21 - 30))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -382.3 + 383.82. Sort 3, -3, d.\nAnswer: -3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236436374 to the power of 1\/4, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -8*s. Suppose -3*y = -5*y - 6. Let b = 1 - y. Solve -28 = b*t - 5*r, 12 = -s*r + 3*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (20\/8 + -2)\/((-21)\/(-2226))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 10*c - 4. Let s be o(-9). Suppose 0*g + 2*b + 2 = -4*g, -5*g - b = -s. Suppose 0 = -3*f + 52 + 23. Solve l = -g*m + 3*m - 7, f = 5*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 221. Let v(l) = 4*l. Calculate p(v(h)).\nAnswer: 8*h + 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 4*h + 3. Let b be w(-4). Let m = -1 + b. Is m*(1 + (-33)\/(-6)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*s = -2*s - 14, -3*g - 5*s = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (176 + 43 + 48)*(-6*z + 3*z + 2*z)*(0*z + 0*z + 5*z) to the form s + i*z + f*z**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (280\/(-25))\/(((-48)\/(-220))\/(-6)). Let w = 101 + g. List the prime factors of w.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at most -18.39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + -63. Suppose 0 = 2*s + 145 - 149. Let j be ((-12)\/9)\/(s\/p). Round j to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.030415, 33 in increasing order.\nAnswer: -0.030415, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 1, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 + 283. Suppose 2*h - 3 = 3. Solve n - c - w = c, -h*n = c + 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2333.1 - -86.\nAnswer: -2247.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s. Let a be q(-3). Let g be 1\/((6\/2)\/a). Let r(b) = 3*b**2 + b + 1. Calculate r(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/835860 and -87\/28.\nAnswer: 5851020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -534 - -19100?\nAnswer: 18566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 4 - 50 + 6*u**2 + 2.\nAnswer: 2*u**3 + 6*u**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 5*x - 2. Let k = -8 + 18. Let z = -16 + k. Calculate the lowest common multiple of t(z) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321.34 + -325. Let o = -3.09 - 0.11. Let p = i - o. What is p rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 75072?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3.2*-3725218\nAnswer: 11920697.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 + w**2)*(3 - 4*w - 3) + (2*w**2 - 2*w**2 - w**2)*(-2*w + 3*w + 2*w) - 3*w**3 + 0*w**3 - 4*w**3 - 2*w - 2*w**3 + 2*w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 58 - 55 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**3\/6 + f**2 + f. Let z be h(-2). Suppose z = 2*o - o - 40. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 3, r: 1, k: 3}. What is prob of sequence ki?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519141157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -498231 (base 11) to base 2\nAnswer: -11000000000111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793120415?\nAnswer: 5, 158624083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225 - -228. Let f = -1 - -3. Sort f, -1, n in ascending order.\nAnswer: -1, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t**2 - 16*t - 17. Let q be j(-1). Let u be 0\/(q\/((-102)\/(-12))). Solve -30 = 2*x - 5*w, u = -3*w - 3 + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 43 + 59 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073182005 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289b4 (base 15) in base 6?\nAnswer: -55203054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4743 is divided by 129.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-21) + 2)*(-7 - -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 0.3, 18, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25473, -50935, -76405, -101883, -127369, -152863?\nAnswer: -178365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 10, -0.5, 2 in decreasing order.\nAnswer: 60, 10, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328*q*s**3 - 4*q*s**2 + 5*q + 32477*s**3 wrt q.\nAnswer: -328*s**3 - 4*s**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32118*2881.\nAnswer: -92531958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16+464\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 3 = 5*v + 23*x - 19*x, -239 = 4*v + 47*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/(-40))\/9)\/((-4)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294357125, 294357126, 294357127, 294357128?\nAnswer: 294357129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 138*y**2. Let w(m) = -3*m - 8. Let u(o) = 7*o + 20. Let t(z) = 2*u(z) + 5*w(z). What is t(r(s))?\nAnswer: -138*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*t - 3896 + 5763 = -6709. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-173755)\/2565 + 65)*45\/10.\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, l: 2, n: 8, s: 1, k: 3}. What is prob of sequence nl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**7\/63 - j**6\/15 + j**5\/2 - 17*j**4\/18 + 2*j**3\/3 - 122*j + 246. Let i(u) be the first derivative of d(u). Factor i(k).\nAnswer: -2*k*(k - 1)**3*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(33)\/sqrt(27) + 3 + (2*sqrt(891) + sqrt(891) - sqrt(11)*1*-5).\nAnswer: 7 + 97*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000595103 rounded to 6 dps?\nAnswer: -0.000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.3755 weeks in minutes?\nAnswer: 9610025.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2. Let q(l) = 905*l**2 + 2*l + 35. What is q(g(f))?\nAnswer: 905*f**4 + 2*f**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 12 + 31 = -3*k, 0 = 2*r - k + 15. Let u be ((-9)\/6)\/((-30)\/r). Let p = -191 + 2099\/11. What is the second biggest value in u, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:30 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 387485 - 388871 = 0 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21724816*0.1\nAnswer: -2172481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 18*z = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 11368 = 576. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210103649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59150\/48664 + 145\/(-116) and 125\/474?\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/4*j - 91\/4*j**2 + 1\/2.\nAnswer: -(7*j - 2)*(13*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 0*v - 11*v + 4*v**3 + 5*v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.237 + 0.063. Put 2\/9, m, 4, 1\/7 in decreasing order.\nAnswer: 4, m, 2\/9, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 286155*d + 17. Let r be j(-13). Let p be r\/4 + 2\/(-4). Round p to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 123*l**3 + 825*l**2 + 11247*l - 38088.\nAnswer: 3*(l - 23)**2*(l - 3)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-4)\/8*2) + 92?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 4262243?\nAnswer: 29\/4262243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13182694351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17035 is divided by 1686?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9599 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/14562270 and -51\/31070.\nAnswer: 189309510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 16*m**2 + 12*m - 19. Let o be s(16). Let j = 59 + o. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756\/(-45)*(899\/(-290) + 4\/((-60)\/(-9))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 121)*((-25)\/10 - -16 - 13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) - 10\/(-2). Let l be 0 + (-22)\/(-4) + 6\/(-12). Suppose g*i = -0 - l. Which is bigger: 0.04 or i?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tovttttozozzozz. What is prob of sequence zzvt?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -808564, -808560, -808556, -808552, -808548?\n\"Answer: 4*f - 808568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x - 2*x)*(4*x - 3*x + x) + 4 + 2*x**2 - 4 - 1 - 2*x**2 + 1 + x**2 + 0*x**2 + 2*x**2 + x**2 - x**2 + x**2 + (5*x - 3*x - x)*(4*x + 4*x - 2*x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 1425056.\nAnswer: 19\/712528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 11*p**2 + 12*p + 5. Let y = -96 + 87. Is x(y) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 + 3 - (2 - -2)) + (167 - 178)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let p(s) = s**2 - 4. Let j be p(-3). Suppose 2*l + l = 3*d + 21, 5*l + j*d + 15 = 0. Let t(r) = 1 - l - r**2 + 1. Determine t(q(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 1069, 1587, 2113, 2647, 3189, 3739?\nAnswer: 4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p + 8. Let w be p\/(-2) + 0\/(-6). Suppose -67 = -w*b + 5. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42834317 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 3\/22 (c) 2\/5 (d) -0.5 (e) 971 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + 0.04. Sort -2, 3\/2, j in decreasing order.\nAnswer: 3\/2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 41*z**3 + 28*z**3 - 5*z - 72*z**3.\nAnswer: -3*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 3*y**2 - 20*y + 24. Give k(8).\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaawaaa. Give prob of sequence aw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*w - 2 + 2)*(5*w - 3*w + 0*w) + 3*w**2 + w**2 - w**2 - 11 - 5*w + 5 + 8 - w**2)*(-3*w**2 + 5*w**2 + 0*w**2).\nAnswer: -16*w**4 - 10*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 5:39 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5*l - 5)*(3*l + 2*l - 3*l + (1 - 5 + 2)*(-3 - l + 3) + 0*l + 2*l - 3*l) as c*l + j + m*l**2 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*((sqrt(1300) - (3 + 1*sqrt(1300))) + -3))**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/7 + 1884*t**2 + 9429*t + 52812\/7 = 0. Calculate t.\nAnswer: -4, -1, 4401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.017436 + -180\nAnswer: -179.982564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14285223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 657 - 655. Suppose g - 13 + 17 = -o*a, 2*g = -5*a - 10. Is a less than -46\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kek when three letters picked without replacement from akaakakekakakkkakkkk?\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 + 16 = -3*c, 5*i + c - 22 = 0. Suppose -24 = i*f + 6. Find the common denominator of 1\/(-3)*603\/f and 73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 20*q**3\/17 + 1462650402*q**2\/17 + 26741827554017040*q\/17 + 2674182740775200\/17 = 0.\nAnswer: -36566260, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -20 (b) 19 (c) 0.1 (d) 3\/7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 31. Suppose i - 8 - 3 = 0. What is the smallest common multiple of h and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*h - 25, -7 + 19 = 4*n. Let y = h + -9. Let c = 23 + y. Solve 2*g + 0*g = v + c, -g - 9 = 5*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 4*o + 18. Let k be (1\/1)\/(8\/16). Suppose -o + 15 = -k*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(7682\/(-668))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 45. What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*t - 5*h, -4*t - 8 + 0 = -3*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*r - r - 2*u, 0 = -3*r - 4*u - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86240256 and 9218.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2791, -2792, -2793, -2794, -2795?\n\"Answer: -u - 2790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4879532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*n + 666 - 126 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18966.4475 rounded to the nearest 10?\nAnswer: 18970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 148122*u**2 - 5*u. Let i(y) = 23*y. Give r(i(h)).\nAnswer: 78356538*h**2 - 115*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1302 + 1304.491. Let t = -3.52 + g. What is t rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11005 or 11020?\nAnswer: 11005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5208.9 and -2733.\nAnswer: 14235923.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/7 - 8684*p**4\/7 + 11966730*p**3\/7 - 5300739008*p**2\/7 - 21346834840*p\/7 - 21394840800\/7 = 0. What is p?\nAnswer: -2, 1135, 2076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 16 = 19*x - 43, -2813*x + 3*q = -2817*x - 33 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/207540 and 29\/207540.\nAnswer: 207540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w - 6. Suppose 27*p - 24*p - w = 0. Suppose r = -2*t + 18, -3*r = -p*t - 82 - 8. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*a + 429*a - 202*a + 450 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228 - -2506\/11. What is the fourth biggest value in -0.5, a, 2\/3, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 194\/(-2)*(-3)\/(-9). Let c = -33 - w. Is 0.02 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2. Let s(h) be the third derivative of 0*h**3 + 35\/24*h**4 - 60*h**2 + 0 + 0*h. Give s(p(r)).\nAnswer: -210*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 3222?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -278.5 (b) -2738 (c) -0.4 (d) 2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*(n**(-26)*n)\/n*n*n)*n**28\/n)**33 assuming n is positive.\nAnswer: n**1650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 10:10 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -314.29768 - -313.44. What is d rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104847368?\nAnswer: 2, 3, 46035307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(112) + -1)*4 + -4 - (2 + (sqrt(112) - (sqrt(112) + sqrt(112) + 0)) - (-1 + 2*sqrt(112) + sqrt(112)))))**2.\nAnswer: -512*sqrt(7) + 7232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.288923 to three dps.\nAnswer: 1.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -924, -932, -954, -996, -1064?\n\"Answer: -f**3 - f**2 + 2*f - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from gqaaqtettaqaaqagkget.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-380)\/114.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -22*s**3 + 7*s + 6. Let j(z) = 66*z**3 - 22*z - 18. Let i(u) = -3*j(u) - 10*o(u). What is the second derivative of i(w) wrt w?\nAnswer: 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnfp when four letters picked without replacement from pnnfnnpnnn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 791*p**5 - 18*p**2 - 2380*p.\nAnswer: 15820*p**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*j = -253*j + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-66))\/(7\/168)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 8. Let k = w - 5. Find m such that -2*m + m + m - m + 1 - m**2 + m**k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 127527131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*k - 282*k - 318 = 0. Put 38, 2, k, 3, 5 in decreasing order.\nAnswer: 38, 5, 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 110. Let h(p) be the second derivative of 3*p - 1\/12*p**4 + 0*p**3 + 0 + 0*p**m. Let r(n) = -2*n**2. Determine r(h(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (-323)\/136.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42631 times 0.2\nAnswer: -8526.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/48)\/((-1)\/(-4))*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208502*j + 208428*j + 1893 - 896 + 1149 = 0 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -37. Calculate the remainder when (-16)\/(-18) + 4048\/144 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.457631 - 1.4641. Round b to 4 decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.34 + 46. Let d = h - -0.34. Let c = d + 20. What is the third biggest value in 4, -0.04, c?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/60)*l*(l\/((l\/l**(-14\/5))\/l))\/l*(l*l**(1\/22))\/(l**(3\/43)*l) assuming l is positive.\nAnswer: l**(-23867\/28380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/67 less than or equal to 16709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 197 - 99 - 98 + 102*x as t*x + z and give t.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/7 at least as big as 3399153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 12*w + 36. Let a(o) = o**2 + 11*o - 37. Let r(n) = -4*a(n) - 5*u(n). Let v be r(-18). Solve 2*g - v*d = g + 12, g - 5*d = 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3243 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2569651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 - 4. Let v be 6 - 6 - 2\/(-3). Which is the second biggest value? (a) -4 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1093*y - 635*y - 965*y + 2167*y.\nAnswer: -526*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 110\/(-40) - ((-27)\/(-12) - 2). Let s(v) be the first derivative of 4*v**3\/3 + v**2\/2 - 4*v - 9. What is the least common multiple of 6 and s(b)?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.1 - 1047022.77.\nAnswer: -1046996.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72856114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5625, 2094, 23041, 63828, 131067?\n\"Answer: 1102*u**3 + 2*u**2 - u - 6728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - 687.\nAnswer: -686.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dap when three letters picked without replacement from yahpdypyhpyihdi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -5. Let u = g - 9. Is 0.1 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:45 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**4\/12 - 4*x**3\/3 + 3*x**2. Let r = 6 - 12. Let i be d(r). Solve 4*j + 4*b - 15 = b, -4*b = -i*j + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 4753*p\/3 - 9502\/3.\nAnswer: -(p - 4751)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049119037 to 4 decimal places.\nAnswer: -0.0491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.009 + 4.991. Let w(y) = -y - 2. Let k(f) = -2*f**3 - f**2 - f + 1. Let b be k(-1). Let j be w(b). What is the closest to a in 1, -3, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12947958073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, -1\/3, 0, -4\/3, -799 in ascending order.\nAnswer: -799, -2, -4\/3, -1\/3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 4856095\nAnswer: 8\/4856095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5696 and 5518.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**16)\/u*u**(6\/13))\/(u\/(u\/(((u*u\/(u\/(u*u\/(u**2*u))*u))\/u*u)\/u))*u*u**(-28\/3)) assuming u is positive.\nAnswer: u**(1084\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1012270 (base 10) to base 16\nAnswer: f722e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 755)\/((-7 - 22) + 30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 - (-35 + 102) - (-1 + 5 + -10 + 10)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from {t: 4, m: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x**6 + 0*x + 0 - 41\/6*x**3 + 1\/15*x**7 - 17*x**2 - 1\/24*x**4 - 1\/30*x**5. Find the second derivative of g(f) wrt f.\nAnswer: 168*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39.9 and -49028.8.\nAnswer: -48988.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**5\/9 - 64*r**4\/9 + 538*r**3\/9 - 1196*r**2\/9 + 80*r = 0.\nAnswer: 0, 1, 2, 9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-4 - -15) + (-14 - -1 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721, 1418, 2127, 2854, 3605, 4386, 5203, 6062?\nAnswer: 6969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 506\/5, -2\/3, -3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12108 divided by -55?\nAnswer: 12108\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5*b**2 + 7\/5*b + b**3 + 1\/5*b**4 + 2\/5 = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 0*x + 4*x = 0, -2*r = 5*x - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 27*r**4\/4 + 4*r**2 - 28. What is the second derivative of x(q) wrt q?\nAnswer: 162*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - (-141 - (-10 - -29)). Sort 3, m, 5, -4 in increasing order.\nAnswer: -4, 3, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 4*g**5\/15 + g**4\/12 + 39*g**3\/2 + 3*g**2 + 2. Differentiate a(s) wrt s.\nAnswer: 32*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2479760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 greater than 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*g + 2*g. Suppose 2*v - 2*w - 40 = 0, v + 10 = 2*v + 4*w. Suppose v = g*d - d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3\/(-12) + (-242)\/(-8) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*h + 13, -61 = -5*w - 5*h + 2*h. Suppose 3*i = -p - 9, -4*p - w = 3*i - 5. Solve p = -4*n - 0 + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 0*m + m**3 + 7\/2*m**2 - 4. Does 5 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/6)\/(1\/2). Suppose 1 = -3*z - m*v - 20, z + 3*v = -3. Let c be 14\/z + (-2)\/(-2). Is 0 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjfjjjfjjjjgjvjv. Give prob of picking 2 v, 1 j, and 1 g.\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*i**2 - 4 + 0 + 1134*i**2 + 5.\nAnswer: 70*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -966176 divided by -241544.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -5 (c) -0.4 (d) -3 (e) -0.17 (f) -267\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eczeecqezzeeezceq. What is prob of picking 1 e and 2 z?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*n**3 + 24108*n**2 + 9666719*n?\nAnswer: -318*n + 48216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**3 - 4*k**2 + 15*k - 6. Let d(v) = 11*v**3 + 7*v**2 - 28*v + 10. Calculate 3*d(u) + 5*l(u).\nAnswer: 3*u**3 + u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2839*w**6 - 54*w**4 - 2*w**2 - 35684474 wrt w?\nAnswer: -340680*w**3 - 1296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 + 6*p**2 - 84*p + 145. Determine c(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f + 107. Suppose 0 = t + k - 5, 32*k - 29*k - 25 = -5*t. Let j be n(t). Solve 0 = -5*c - 5*x + 7 + 3, -5*x = 2*c + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87568 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*c**2*f**2*p**2 - c**2*p**3 + 3*c*f**2 + 11*c*p**2 - 2*f**2*p**3 + f**2 wrt c.\nAnswer: -170*f**2*p**2 - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(660)\/(sqrt(36)\/sqrt(3))*-1)\/(sqrt(55)\/(-6*sqrt(22)\/sqrt(2))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 5. Let a(h) be the first derivative of 3*h + 44. Let v(p) = 7*a(p) + 3*z(p). Give v(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 5. Let u(h) = -2*h + 4. Let m(a) = -4*f(a) + 5*u(a). Let w(t) = -28*t**2. What is w(m(v))?\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 1501*b - 406055. Determine r(-354).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 13*k**2 + 45*k - 5. Let b be h(5). Solve -17*t - 3 = -b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, r: 6, n: 7}. Give prob of picking 1 r and 1 h.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 42 - 3*b**2 - 26 - 14. Let z(k) = -k**2. Determine z(o(l)).\nAnswer: -9*l**4 + 12*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -7672.495457995\nAnswer: 7672.295457995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -488 - -834. Does 9 divide c\/8 + (-9)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1 + (sqrt(33)\/(sqrt(55)\/sqrt(5)))**2 - (sqrt(48) - sqrt(384)\/sqrt(8))**2*5)*2*6.\nAnswer: 24 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.62 rounded to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*m - 249*m + 3*o + 31 = 0, 4*m = 3*o - 64. Sort 3, 5, m, 0, 4 in descending order.\nAnswer: 5, 4, 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1202 at most -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**7\/42 - 85*i**6\/12 + 2351*i**5\/4 + 18275*i**4\/6 + 18490*i**3\/3 + 485*i**2. Suppose z(m) = 0. What is m?\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531058361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -52*d**3\/5 - 1988*d**2\/5 - 19228*d\/5 - 4332\/5 = 0.\nAnswer: -19, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2182575*k*t**3 + 6*k*t**2 - 6*k*t - 29*k + t**2 + 5*t wrt t.\nAnswer: -13095450*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**7*a**(2\/19)*a\/(a\/(a\/a**(-3\/8))) assuming a is positive.\nAnswer: a**(-2967\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1798349440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2*14\/(-315))\/((-6)\/(-9))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 21*y**2 + 72*y + 6. Let q be r(5). Suppose -q*l = -888*l - 64941. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1814098 divided by 22.\nAnswer: -82459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w + 67. Calculate x(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -551, -1284, -2311, -3632?\nAnswer: -5247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-20)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -248719, -2\/3, 0.4, -1\/5, -3\/4, 1?\nAnswer: -248719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjjt. Give prob of sequence jj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:44 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + o = 6*o + 9703, -5*k - 3*o + 24273 = 0. Suppose -j = -p - 3*p - 3879, k = -5*p - 4*j. Round p to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/19782 and 137\/613242.\nAnswer: 613242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 - (14 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from ryypymyyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2)*-3)\/(384\/256). Suppose -29 - 144 = -p*n + 3*l, -n = 4*l - 114. Calculate the greatest common divisor of 329 and n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8)*(-6)\/(-9*5\/(-60))*-116.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 12.9 (c) 153\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76908, -76901, -76896, -76893, -76892, -76893?\nAnswer: -76896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 17*w + 200. Suppose 615 = -75*c + 118 - 403. What is l(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7478 = -5*t - 746, t = -3*p + 24704. Calculate the greatest common factor of p and 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-22) - 10\/55. Suppose 0 = l*r - 5*r + 18. Calculate the remainder when 2\/8 + (-86)\/(-8) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25 - -35)*(-16)\/5. Suppose 0 = -0*a - 3*a - 168. Let h = y - a. Calculate the highest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 5*l + 74 = -27*q, 43 = -q + 4*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-5)\/2 - -2). Suppose p*f - 2*f = -28. Let r = 4 + f. Calculate the remainder when 70 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6532388 to the nearest integer?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -36617671*w. Let l(b) = 5*b. Calculate z(l(p)).\nAnswer: -183088355*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326139647 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 3*i - 3. Let u(b) = -b**2 + 2*b + 2. Let k(x) = 2*f(x) + 3*u(x). Let j(g) = -3*g. Determine j(k(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 9 - 2 - -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437.9629kg to tonnes.\nAnswer: 0.4379629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230896 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -90.5. Which is the nearest to 8\/5? (a) 0 (b) -7 (c) j (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f + 54. Suppose -v - 4*v - 2*a + 60 = 0, -5*a = 0. Let y be o(v). Solve -u + y = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 20. Let o be x(10). Let y = o - -13. Which is smaller: y or -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-48)\/(-64)*(-16)\/(-12)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115364192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -4655?\nAnswer: 4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 90*o - 46. Calculate the remainder when n(3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 + 12\/2 - 9)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17 + k**3 + 4*k**3 + 4 - 26*k**3 wrt k.\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*(-14)\/3. Let v = -9 + 16. Suppose 0 = -v*w + 627 - 235. Calculate the highest common factor of w and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/3 + 11*q**2\/2 + q - 5. Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqifiivivvvixviffqi. Give prob of sequence ff.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 + 318. Suppose -4*u = -2*u - j. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + -92 - (-2 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 50233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43285440 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29637 is divided by 5830?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -1945*h**7\/14 + h**4\/6 - 869*h**3\/3 + 5889*h. What is the third derivative of g(u) wrt u?\nAnswer: -350100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336.1104 millilitres to litres.\nAnswer: 0.3361104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/5766 and 181\/30.\nAnswer: 28830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085969307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 5. Let v be (15\/6)\/(2\/4). Calculate the smallest common multiple of g(v) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 28*x**3 + x**2 - x. Let v(k) = k**3 + k**2 - k - 2. Determine 2*o(c) - 2*v(c).\nAnswer: 54*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -273, -236, -173, -84, 31?\n\"Answer: 13*v**2 - 2*v - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 45*z - 22. Let o(q) = -q**2 - 2*q + 2. Let t(g) = -4*o(g) - p(g). List the prime factors of t(19).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -2*a + 0 + 0*a**2 - 1\/2*a**3. Let g(i) = 3*i. Determine g(l(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -45269.5 to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 2*p - 3. Let u(k) be the second derivative of 3*k**5\/10 + 7*k**3\/6 - 4*k**2 - k + 10. Determine -2*u(a) + 7*w(a).\nAnswer: 2*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 110548?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (86\/602)\/((-2)\/(-8)). Let b = -3.7 - -4. What is the biggest value in j, -1\/6, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 6762.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (26*(-90)\/(-1755))\/(((-64)\/160)\/((-213)\/(-5)))?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**3 - m**3 - m**3 - 4*m + 4*m + 7*m**3 + (-2*m + 0*m + m)*(-2 - 2*m**2 + 2) + (-3*m + 4 - 4)*(-7*m + 3*m + 3*m)*(3*m - 3*m + 3*m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 275 + 89 + 88 + 82 - 4*f**2.\nAnswer: -4*f**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 44. Suppose d*a - 9*a - 24 = 0. Suppose 3*v - a + 3 = 0. Solve -v*g + 1 - 16 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 12. Let t be -2 - -1 - (-1 - -6). Let m be k(t). Factor -m - 16*s**2 + 12*s + 4 + 15*s**4 + 3*s**4 - 12*s**3.\nAnswer: 2*(s - 1)*(s + 1)*(3*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 5. Let p be z(7). Let u be (-7)\/p*16\/28. Suppose -36 - 94 = -u*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34741 is divided by 1328?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77618 - 54885. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 9870*y - 49275 = 0. What is y?\nAnswer: 5, 3285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pknv when four letters picked without replacement from pipvkpn?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 122?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -91\/2. What is the second smallest value in x, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*x - 89, -5*v - 43 = 3*x + 36. Let g = -63 - -60. What is the fourth smallest value in 2, v, -1, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 159782499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00620029 to four decimal places.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.2 + 284.2. Let r = m - 272.1. Which is the third biggest value? (a) 2\/7 (b) -1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65\/3 + 22. Let y = 0.84 + -0.34. What is the closest to f in y, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {e: 2, d: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1 - (8 + (3 - -7 - 11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*(-23 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(205\/41))\/((126\/9)\/952).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 20.8?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**2 - 147*d - 58. Let g be p(-29). Solve g = -16*x + 1 + 31 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**2 + 249*b + 4381. Calculate d(25).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16858 (base 9) in base 7?\nAnswer: 45632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*c + 16903 + 1010 = -7407 for c.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144410?\nAnswer: 2, 5, 7, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -0.119542 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/2)*n**(1\/14)*(n*n\/(n\/(n\/((n*n**(-2\/5))\/n)*n)))**11 assuming n is positive.\nAnswer: n**(1294\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52199 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*70.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 177467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 105*n - 277. Let i be m(-15). Let f = 129 - i. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5537377 - 2?\nAnswer: 5537375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let d be -12*-1*258\/24. Let h = d + -128. Which is the nearest to 2? (a) h (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2024\/(-1512940))\/(10\/130)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/((sqrt(168)\/sqrt(7))\/sqrt(12)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -36, 2 in increasing order.\nAnswer: -36, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161.7 at most as big as 0.011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -1.8 (b) 0.1 (c) -3\/4 (d) 0.0895 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 34, 113, 264, 511, 878, 1389?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 37. Let n(s) = 2*s**2 - 10*s. Suppose -2*d = -5*z - 10, 3*d = -d - 3*z + 20. Let w be n(d). Sort 1, w, t in decreasing order.\nAnswer: t, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, -1232, -1848, -2464, -3080?\nAnswer: -3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b - 15*b - 10 - 2. Let h be o(5). Let p(n) = -122451*n**2 - 15*n - 6. Let v be p(h). Round v to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)\/l)**(-26)*((l\/l**7)\/l)\/l**(-6)*((l\/((((l*l**(-1))\/l)\/l)\/l*l*l*l))**(-1\/2))**(-15) assuming l is positive.\nAnswer: l**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.364 and -3.\nAnswer: 115.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28, -58, -88?\n\"Answer: -30*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2625097.\nAnswer: 19, 138163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/90048 and -55\/31922016?\nAnswer: 63844032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 2. Let h(v) = v**3 + v**2 + 1. Let l(y) = 3*y - 37. Let a be l(13). Calculate a*h(w) + s(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77001377 - -5?\nAnswer: 77001404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 3*i**2 - i + 2. Let a be x(-2). Suppose 2*s = -0*s + 8. Suppose -s*j = -a - 16. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, -2, -8, -14?\n\"Answer: -6*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*f - 7*u + 2*u, -4 = f + 5*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/10*(-7)\/((-84)\/(-40)). Let w(d) = u*d**2 - 3*d - 4*d**2 + 3 - 2 - 6*d**2. Let x(k) = 4*k**2 + 3*k - 2. Calculate -3*w(n) - 2*x(n).\nAnswer: 4*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.52. Let u = y + 0.22. Let x = 0.5 - u. Which is the closest to -0.3? (a) 0.5 (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 2*i + 11, 24*i + 155 = w - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -89*o**2. Let c(h) = -65*h**2 - h. Determine c(v(w)).\nAnswer: -514865*w**4 + 89*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571721724 divided by 190573908.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 559062609273369 + 0.4.\nAnswer: 559062609273369.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 11*t - 22*t as h + b*t and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - 4286*m + 392889. What is q(108)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 18*c**2 - 24*c + 11. What is the remainder when p(-5) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/3 - 4\/6. Let j be (-9)\/((-45)\/(-10))*(-1)\/2. Solve 2*k = i - j, t*k = k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + g)*(0*g + 2*g - 3*g) + g - 10*g + 8*g + 4*g**2.\nAnswer: 6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 93140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125701*t**6 + 656448*t**2?\nAnswer: -15084120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {z: 1, s: 3, m: 9, e: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 3*x**2 + x - 5. Let b(o) be the second derivative of -o**3\/6 + 3*o**2 - 12*o. Let h be b(8). Let u be 1 - 10*(-1)\/h. Calculate c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/209 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + q + 4*q = 0, 0 = -5*i + 2*q - 7*q. Solve w + 11 = 6, -k - 5*w - 21 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(72))\/(sqrt(6) - sqrt(726)*1).\nAnswer: 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9760*d - 1262*d - 5096*d - 10357*d.\nAnswer: -26475*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13815 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 - 6*w - 2. Let c be p(7). Let s(i) = i - 2. Let k be s(c). Suppose -n + k*n = 20. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 3874270*f + 3874270*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 1088.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-68 - -75) + 1*-1*1. Let l = -91 - -93. Solve -k = 3*q - d*k - 2, q + k + l = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10f08c (base 16) to base 7.\nAnswer: 12302415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + ((3 + sqrt(275))**2 - sqrt(275)))*-5.\nAnswer: -1445 - 125*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147350664?\nAnswer: 2, 3, 227393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3452304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, 84, 1087, 3042, 6267, 11080, 17799, 26742?\nAnswer: 38227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 5*y**2 - y - 6. Let u(g) = 5 + g**2 + 2 - g**3 - 4 - 2*g. Let f be u(2). Let s be l(f). Which is greater: 1\/5 or s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853*h + 62*h**2 - 4 + 1684*h - 4 + 8 - 834*h.\nAnswer: 62*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**10*j)*j)\/j*j**(-2\/35)\/j)**(-1\/33) assuming j is positive.\nAnswer: j**(32\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1185, -1201, -1217?\n\"Answer: -16*m - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 175.86. Which is the smallest value? (a) j (b) -3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 1160649.\nAnswer: 11606490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8558 by -27.\nAnswer: 8558\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2\/2 + 36. Suppose 5*w - 2*f = 2*w + 10, -w + 4 = -f. Determine b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -130, -100, -58, -10, 38, 80?\n\"Answer: -j**3 + 12*j**2 + j - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 18*o**5 + 8868*o**4 - 14860*o**3 - 14800*o**2 + 14842*o + 5932 = 0.\nAnswer: -1483\/3, -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*-2*sqrt(637) + 2 + -1 + sqrt(39)\/sqrt(3) + (sqrt(26)*-2)\/sqrt(2) + sqrt(13) + -5.\nAnswer: -336*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 13*v + 6. Is o(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 607879.87441.\nAnswer: 607880.17441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1371811.\nAnswer: 5487244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496128 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6470635063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + l**5 + l**3 + (21*l**4 + 19*l**4 + 10*l**4)*(2 - 2 + 3*l).\nAnswer: 151*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*b - 7*b. Suppose 239 = -b*j + 8*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11841, -23612, -35383?\n\"Answer: -11771*l - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 5. Let i be q(-7). Calculate the smallest common multiple of 1 and i + (1 - 4)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4825144*s**4*y**3 + 2513*s**2*y + 2818*s*y**3 wrt s?\nAnswer: -115803456*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 1)*(-2*c**2 + 7 + 1643*c - 1643*c) as t*c**2 + n + w*c and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16611 (base 10) to base 5\nAnswer: 1012421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*a + 2*n + 562, 879 = 3*a + 3*n. Let d be 34\/a + (-492985)\/17 + -1. What is d rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8770*l - 4. Let k be c(1). List the prime factors of k\/108 - 1\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*i + 47489 + 83887 = 2208*i for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b = 4*k + 1263, -b = 4*k - 267. Calculate the remainder when b is divided by 30\/(-10)*(-32)\/(-24) - -47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 24*d - 46 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -38. Suppose -n = 3*n - 576. What is the greatest common factor of n and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(114)*-1 + sqrt(114)*2*4)\/(sqrt(216) - 3*sqrt(216)*1).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29258 = -165*u - 6137 + 37929. Calculate the least common multiple of 518 and u.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 11*k + 2. Let y be g(11). Let s be 60\/(-27) - (-2)\/9. Let f be s\/8 + 42\/8. Solve f*b - 20 = b + y*h, b = -3*h - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*f)*(-6 - 7 + 17) - f + 0*f + 0*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -393*p**2 - 384?\nAnswer: -786*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 18 = 22*p. Let k(v) = v**2 - 3*v. Let y be k(4). Let j(c) = -10 + c - p*c + y + 2. What is j(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 959 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - 2*f**5 - 2*f**5 - f + (30*f**2 + 2942 - 2942)*(-f + 2*f**3 + f).\nAnswer: 56*f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24189 - 24188. Which is smaller: w or -1\/8606?\nAnswer: -1\/8606","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 0*u**5 + 4*u**5 + ((3 - 2*u**2 - 3)*(3*u**2 - u**2 - 4*u**2) + u**4 + 0*u**4 + u**4 + u**4 + 0*u**4 + 0*u**4)*(271378 - 386*u - 271378).\nAnswer: -2701*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 39 + (57 - 114)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71282 <= 1425621\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 6, k: 2, t: 1}. What is prob of sequence ktn?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*a + 28, 0 = 2*i + 2*a + 33 - 5. Which is greater: i or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.95 - 747.95. Let m = 295 + i. Which is smaller: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 590*n**4 + 2*n**2 + 196*n - 291*n**4 - 283*n**4 to j*n**3 + y*n + x + o*n**4 + w*n**2 and give y.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20895d (base 16) in base 2?\nAnswer: 1000001000100101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkk when three letters picked without replacement from {n: 9, k: 6, f: 4}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*s = -3*s + 3626, -5*y = s - 3618. What are the prime factors of y?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 47 + f**3 - 80*f - 39*f**2 + 4*f**2 + 43*f - 10. Let x be y(36). Solve -5*w + x = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79868100 and 368622?\nAnswer: 239604300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*l**3 - 26*l**3 - 17*l**4 + (2 - 4*l**3 - 2)*(1 - 2*l - 1) + (2 - 2 - 2*l)*(-3*l**3 + 5*l**3 - l**3).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l**5 + 60*l**4 + 179*l**3 + 210*l**2 + 72*l = 0 for l.\nAnswer: -3, -2, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -1194?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 405563 = -4*x - 5*o, -3*o = -4*x + 811165. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6671152\/693 - 86690\/9. Let w = 2983\/440 - 53\/40. Let o = w + t. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-164043 + -6)*45\/(-135)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3276*n**2*s**3 - 2*n**2 + n*s**2 - 18573*s**3 wrt n.\nAnswer: 6552*n*s**3 - 4*n + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 4. Let m(x) = x - 4. Let u(z) = 3*m(z) + 2*p(z). Give u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -11*u + 3. Let m be 6\/(-8) + 13\/4*u. Put -5, -1, -3, m in ascending order.\nAnswer: -5, m, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (5 + -14 - (-17 + 8)) - 27.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12575, -24433, -36291, -48149?\nAnswer: -60007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1717 and -0.057647.\nAnswer: 1716.942353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**6\/15 + 6*l**5\/25 - l**4\/5 + 2. Factor k(j).\nAnswer: -2*j**3*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x + 2. Let a(o) = -12*o**2 + o - 1. Let k be a(x). Let f be 3\/k - 34\/(-8). Solve 8 = 3*r + 4*w, 7*r - 3*r + f*w = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.42984135 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 94*y. Let w(g) = 3*g + 1. Let h(o) = 26*o + 8. Let q(x) = -h(x) + 8*w(x). What is q(p(u))?\nAnswer: -188*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:07 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) -1\/8 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 10*r**2 + 9*r + 9. Calculate w(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 19, 0.5, -15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-1 + -2)) + -30 + 24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 122259215?\nAnswer: 244518430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 103 - 1605?\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 33033 + 215648 = 0. Let f = -9177 - r. Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15883 divided by -327?\nAnswer: -15883\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*c - 112 = 3*c, -4*u - 2*c - 116 = 0. Let o = u - -44. What is the remainder when 50 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 345236793 + 345236787 + 345236795 - 1035710375.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1893976 by 217.\nAnswer: 8728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**2 - 88*z + 65. Determine y(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 144415, 288831, 433249, 577669, 722091?\n\"Answer: z**2 + 144413*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + ((-216)\/(-15))\/(-8). What is the second biggest value in w, -2, -4\/3, -14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32253.9998 - -32267. Let y = -32 - -45. Let k = o - y. Round k to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -91. Let v be (-20)\/2*(3\/2 + r). Find the second derivative of 24*d - d**5 + 35*d**5 - 10*d - 9*d**v wrt d.\nAnswer: 500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2313.793 and 0.5.\nAnswer: 1156.8965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512276?\nAnswer: 2, 3, 126023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003469647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3 - 464658*t**2 + 26996976240*t - 998252105384 = 0.\nAnswer: 37, 116146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 49 = -t, -3*t - 39 = 3*j - 0*t. Let u(p) = -p**2 - 11*p + 22. Let d be u(j). Solve -19 = 3*s - 2*f, -3*f + d + 5 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 49428828903.\nAnswer: -49428828902.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:45 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/10381 and -36\/7415?\nAnswer: 51905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 5*z + 27, -2293*z + 2290*z = -4*m - 17 - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -41*f + 45*f - 4*x, -f - 38 = -6*x + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 17. Suppose -3*i = -2*h - t, -5*i - 3*h - 9 = -3*i. Let o = 2231 - 2230. Calculate the greatest common factor of o and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 119*j - 114*j + 47, 5*h = j - 66 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 5*f**2 - 4*f - 1. Let n be a(-4). Let z be (n\/(-3))\/(8\/(-48)). What is z rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*c = 17, 5*y + 0*c - 2*c + 33 = 0. Let f = 18\/475 + -28036\/12825. Calculate the common denominator of (-70)\/(-36)*y\/5 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3195975 is divided by 616?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*p - 36904 = -286*p - 160*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156165783 - -981684.\nAnswer: -155184099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.066501052 or -1\/5?\nAnswer: 0.066501052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = g - 0*g, 19 = 3*g - 2*t. Suppose 0 = g*d - 142 - 560. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, 2, 3\/8, 1.7, 2\/5.\nAnswer: -18, -1, 3\/8, 2\/5, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 3*k + 3. Let j be (-4)\/(-6) + (-11)\/3. Let d(a) = 3*a**2 + 2*a + 2. Let q(n) = j*d(n) + 2*g(n). Let l be (-1)\/(4\/12) + 5. Give q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4 + 3 + 4832*o**2 - 4834*o**2 - 220*o + o**3 in the form p*o + r*o**2 + v + f*o**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 4. Let c(q) = 9*q + 1. Let z(o) = c(o) - u(o). Let h(s) = -20*s + 9. What is -3*h(w) - 8*z(w)?\nAnswer: 4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(9\/8))**(-2\/139)*m**7\/(m**(15\/8)\/m))**(-1\/7) assuming m is positive.\nAnswer: m**(-6793\/7784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) - 476\/(-6). Let j be -1 - (a - -2)\/3. Let t be (24\/j)\/((-2)\/14). Let q(w) = w**2 - 4*w - 8. What is q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 0*t - t + (0 - 1 + 3)*(-2*t - 3 + 3) - 5*t + 4*t - 3*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6933297um in centimeters?\nAnswer: 0.00006933297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-75)\/(20250\/8).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33226*u**3 + 11*u**2 - 2*u - 66616563 wrt u?\nAnswer: 99678*u**2 + 22*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-999)\/999)\/((-1)\/(-4)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(2*(-1)\/2). Suppose 2*c = -0*c + 4. Suppose -c*n = 3*n. Is n at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0426 in 1, 2, 4.38, 5, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + (-15 - 8) - (3 + -87).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3149720*p**3*x**2 - 8*p**3 + 6846*p**2*x wrt x.\nAnswer: 6299440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245644 + -245644.700127. Let h = -0.7 - n. What is h rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39590 to the nearest one hundred.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9 = -3*b, -44*b - 10 = -39*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 1 - (-27)\/9. Suppose 0 = -4*l + r*l + 22. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 3*x = -127, -82 = 3*w + 5*x + 111 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 700.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 + -88. Is 26 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d**3 - d**2 + d - 1. Calculate the remainder when p(2) is divided by 33\/(-4 + (-43 - -50)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83200 by 130.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258243895 is divided by 3268?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115, -713, -2283, -5287, -10187, -17445, -27523?\n\"Answer: -77*w**3 - 24*w**2 + 13*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 - -138. Let m(s) be the first derivative of p*s**5 - 3\/2*s**2 - 3 - s**6 + 0*s + 0*s**3 + 0*s**4. Find the second derivative of m(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 1)*(3*c**2 - c**2 - 3*c**2) + (-1 + 2 + 0 + (-3 + 4 + 0)*(3 - 5 + 3))*(13*c**2 + c**2 + 0*c**2) in the form z*c**2 + s*c + i and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 + 24*x = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 4. Let h be u(9). Suppose 4*l + h*x = 6*x - 83, x + 1 = 0. What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from {z: 1, f: 1, k: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - 1.2. Let u = -19.4 - -21. Let r = u + a. What is the closest to r in -1, 5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 8*j**2 + 2*j - 13. Calculate the smallest common multiple of u(7) and 55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 3. Suppose -g = 2*g - j. Suppose -u + 14 = 4*q, g*u + 5*q - 16 = 3. Calculate the remainder when 2 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + p = -918. What is the remainder when p is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 + 41*s - 5. Let v(f) = 2*f**2 + 14*f - 2. Determine -4*m(g) + 11*v(g).\nAnswer: -2*g**2 - 10*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1144 * 0.27\nAnswer: 0.030888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.14 (b) 5 (c) 3 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1695, 1693, 1691, 1689, 1687, 1685?\n\"Answer: -2*k + 1697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170988697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -2602?\nAnswer: -1561.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 63475. Let l(r) = 4*r. Calculate t(l(u)).\nAnswer: 8*u + 63475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 less than -40949?\nAnswer: -40996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x, 0*x = -3*t - x. Suppose -t = -4*a + 7. Suppose 143 = -6*v + 155. Solve -a*p + 6 = 0, z = v*p - 7*p + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4\/9, -4, 22, 1.4, -1 in ascending order.\nAnswer: -4, -1, -2\/5, 4\/9, 1.4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8180 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 22282\/85273?\nAnswer: 22282\/85273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6521 - 240*o**3 + 6521)*(o - 2 + 2).\nAnswer: -240*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**2 + 113*d - 84. Calculate the least common multiple of 735 and k(14).\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 196 = 0. Suppose 2*m - 666 = -4*v, -3*m - 831 = -4*v - 180. Let d = v - o. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 7*c**2 + c + 10. Let y be d(-7). Let w be (y\/(-1061))\/(36\/24). Let m = w + -1001\/31830. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Suppose -h*k = -k - 4. Suppose -8*l = -3*l + 25. Let n(y) = -3*y**2 - 3. Let p(o) = -2*o**2 - 2. What is k*n(i) + l*p(i)?\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/265 and 103\/165.\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3)*-4)\/(sqrt(48)\/(sqrt(24)\/sqrt(2)) + sqrt(4)))**2 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1742236 (base 11) to base 16\nAnswer: 2d2c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 2103843?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*n + 7, 0*n = 3*n + d. Let z(w) = -40*w**3 + w**2. Let b be z(n). Is b > -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 35 = 3*q, -4*q - 4*o - 7 + 47 = 0. Suppose -q*r = -r - 64. What is the remainder when 31 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (((sqrt(320) + sqrt(320) + -1 + sqrt(320) + sqrt(320) - sqrt(320))*4)**2 + sqrt(320) + sqrt(320)*-2 + -1)*-3*1 + 5).\nAnswer: -13968*sqrt(5) + 829686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.142138 - -50.6896311\nAnswer: 50.8317691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37046 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: Suppose -1 = 5*k + 4, 2*k - 3 = -m. Let i(q) = m + 3*q + 1 - 12 - q. Let d be i(5). Solve 0 = 4*h - h, d*h = 5*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 361*b - 4887. Give q(17).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 + 5\/1. Let i be 0\/2 + -2 + u. Suppose -p - 4*p = -3*z - 44, -2*p = -i*z - 26. Solve -5*a = -2*t - 21, -3*a + p*t = 2*t - 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:14 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 3\/(-2)) + (-260)\/(-104). Solve k = 5*t - b*k + 9, -3*t - 5*k = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 204*l**3 - 8*l + 4 - 315*l**3 + l**2 - 676*l**3. Suppose 2*m - m = 6. Let n be o(m). Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26336819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11329?\nAnswer: 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*i + 496, -5*g - i = -g - 1020. Suppose g + 416 = 7*x. What is the highest common divisor of 54 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21528 - -73?\nAnswer: 21612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23840 - -23842. Put -5, q, -10, 0, 1 in decreasing order.\nAnswer: q, 1, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**7\/840 + d**6\/72 + 7*d**5\/120 - 5*d**4\/12 - 6*d. Let g(y) be the third derivative of n(y). Is 24 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/7 + 1503030*p**2\/7 - 6012096*p\/7 + 6012088\/7 = 0.\nAnswer: 2, 751511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9053309 is divided by 305?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62 and 54?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -407, -3310, -11183, -26510, -51775, -89462, -142055?\n\"Answer: -414*u**3 - u**2 - 2*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 6. Let j(m) = 3*m**2 + m. Suppose 0 = -r + 3*r - 4. Calculate the remainder when w(7) is divided by j(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/7 + 245787*w\/7 - 122893\/7 = 0. Calculate w.\nAnswer: 1\/2, 122893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11044?\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 860 + -660. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0 - 7*d**2 + 1\/6*d**4 + 1\/6*d**3 + 0*d. What is the units digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.7 in -1\/42, 2\/17, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 34*q**4 + 8*q**3 + 272*q**2 - 16*q - 544 = 0. What is q?\nAnswer: -34, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942666 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -138220658 and 0.04.\nAnswer: -138220657.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 2.74\nAnswer: -1.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 + 8*p + 10. Let d be m(-7). Suppose -58 = l + d*u, 4*l + 2*u + 284 = 3*u. Let k = -40 - l. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10075.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 7236?\nAnswer: 209844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4210 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(3\/(-1)) + -1. Suppose p = z - 2*z + 46. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + (-61 - (25 + -2)) - (-7 + 2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Let p(o) = -271*o. Let u(d) = -269*d. Let n(l) = -8*p(l) + 9*u(l). Calculate m(n(w)).\nAnswer: -128018*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164410, 164412, 164414, 164416, 164418, 164420?\nAnswer: 164422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43155 is divided by 2058.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -183999, -183375, -182335, -180879, -179007, -176719, -174015?\n\"Answer: 208*r**2 - 184207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*f = -15, 30*u - 4*f + 48 = 34*u. Solve 0 = -42*h - u - 27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8600*p. Let l(c) = -c + 1785. Calculate l(h(w)).\nAnswer: 8600*w + 1785","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 10. Determine s(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 2. Suppose o + 8 = -v, -4 + 36 = -5*o - v. Let a be q(o). Suppose -3 = y + 1, 3*s + a*y - 2 = 0. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26896 (base 10) to base 16\nAnswer: 6910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12084 + 18916. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*g + 282, -3*g = n - 7*g - 94. Suppose -w - 4*d = -35, n = w + w + 2*d. Let o = w - 35. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2. Let u(h) = 507*h**2 + 130. Let f(t) = 13*t**2 + 2. Let b(d) = 65*f(d) - u(d). Calculate w(b(l)).\nAnswer: 1028196*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -81?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -4\/3, 18\/1283, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 3*r**2 + r**4 + 0*r**3 + 1 + r**4 - 4*r**3 in the form k*r + c*r**3 + x*r**2 + s + o*r**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n - 2. Suppose 5*a + 5*d - 980 = 0, 5*a - 6*d + d - 950 = n. Is a not equal to 192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -7 - -10) + -8 + -24 + -13?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030231204 (base 5) in base 14?\nAnswer: -10d97bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyeyeyyyeyeeey. Give prob of sequence ey.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.589538 meters?\nAnswer: 458.9538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) 2 (b) 0.03 (c) -0.1 (d) 680 (e) -3 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (9 + -8 - -4 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1687898326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7194)\/15)\/((54\/45)\/6). What are the prime factors of (y\/(-55))\/((-10)\/(-25))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 3*x - 2, 0 = 2*u - 4*x - 4. Let c be u - (-16)\/(-4) - -6. Sort -1, -4, c in increasing order.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272650 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:15 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 1947*r**2 - 90 - 1946*r**2 - 58.\nAnswer: r**2 - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/8 + 13*y\/4.\nAnswer: -y*(y - 26)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7*n**2 - 4*n + 7. Calculate the smallest common multiple of q(5) and (2076\/(-1903))\/((-2)\/11).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let z = 9.16 - 0.16. Let n = z + -9. Put -1\/2, n, k in ascending order.\nAnswer: -1\/2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28297 = -337*b + 1358*b + 17024 - 107163 for b.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5560586 and 866?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 3*y + 4*y)*(2 - 3 - 1) + (-2*y + 671 - 671)*(1 - 1 - 1) to the form m + d*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 0. Let a be (5270\/(-12))\/(j\/(-34)). Let l = -4985 - a. What is the common denominator of -9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose -2*q + i*h = 5, 3*q - 8 = 6*q - 5*h. Let s = q + 5. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 + 177. Put -4, 0.4, s in descending order.\nAnswer: s, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 147*n**2 - 126*n - 2932. Calculate g(146).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10655.\nAnswer: 5, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((1\/4)\/(6\/(-36)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -1. What is the remainder when (j - -16) + 3\/3 is divided by 8 - 1 - (-1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -10010?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let d be 10*(0 - 110\/(-25)). Suppose 0 = 2*q + z*q - d. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864759556 divided by -66377.\nAnswer: 13028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/37674323?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 99, 216, 379, 588, 843, 1144?\n\"Answer: 23*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 2:22 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)\/(v*v**(-2)))\/(v*(v*v**(-2\/11)*v)\/v*v**(2\/13)*v) assuming v is positive.\nAnswer: v**(-1557\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4598 * -0.1\nAnswer: 0.04598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y + y**3 + 6*y**2 - 1 + 1 + 5. Let s be f(-7). Let x = 3 + s. Are x and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -94. Solve -2 = s*q + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/7524 and -149\/12276.\nAnswer: 233244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 37. Let r be ((-160)\/60)\/(2\/v). Suppose 4 = 4*a + 4*c - r, 0 = -3*c. Solve -a*s - 20 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0 - (-5 - 5)) + -13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -83656249 times 3?\nAnswer: -250968747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4694160 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**2*q**3 + 142*i**2*q - 61*i*q + q**3 + 3*q**2 wrt i?\nAnswer: 10*q**3 + 284*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/30 in 0.7, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/12)\/1 + 0. Let l(k) = k + 12. Let u be l(-13). Which is the second biggest value? (a) u (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/5)\/((-6)\/(-600)) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r + 8. Let k = 5 + -5.2. What is the second biggest value in k, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1\/7, 1, 0.4, 80, 7 in increasing order.\nAnswer: -1\/7, -1\/10, 0.4, 1, 7, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 25)\/(1\/3). Let g = 85 + t. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347930803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24064 - 71231\/3. Let t = g - 319. Let y be (1 + -20)*(-6 + 7). What is the nearest to y in t, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/(-4)*(-4)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 6*c**2 + 10*c - 18. What is v(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 20, 4*y - 5*g - 94 = 66. Suppose 0 = -9*p + 10*p - 3*c - 28, -c + 44 = 5*p. What is the greatest common factor of y and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1023 - 670. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 3.4, -4 in ascending order.\nAnswer: -4, 0.2, 3.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5, -1.2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/10, -6427, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136\/3 - -46. Let b(d) be the first derivative of 0*d**2 - 1 - 3*d - a*d**3. What is the derivative of b(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -377684, 6\/11, 55 in descending order.\nAnswer: 55, 6\/11, -377684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 27*j**2 - 2737*j + 8238. Calculate f(3).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Suppose 0 = 2*s + 2*p - 3 - 19, 3*s - 29 = -2*p. Suppose 2 = -o - 4*t, -5*t - 8 = -5*o + s. Let y(d) = 2 - 4*d - o. Give b(y(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572 (base 10) to base 7.\nAnswer: -1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.6464815 rounded to 3 decimal places?\nAnswer: -17.646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*a + 37. Let x = a - 21. What is the third derivative of 18*r**6 + 9*r**6 - 35*r**6 + 4*r**x wrt r?\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0*q - 3*q - q - 2. Let y be b(-2). Suppose j + 190 = y*j + 5*d, -5*j + 4*d + 154 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -345237*k + 499417.\nAnswer: -345237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**4 - 23*k**3 + 171*k**2 + 2 wrt k.\nAnswer: 144*k - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 6732.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 68*j**2 - 21*j - 198. Let u be y(-8). Which is smaller: 4321 or u?\nAnswer: 4321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70\/3187 + -6164\/9561. Let b = -43 + 304\/7. Sort b, c, -5, 5 in ascending order.\nAnswer: -5, c, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + (-1917)\/(-81))*((-11)\/(-2) - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 808*a**3 - 3*a**2 + 2*a - 7. Is n(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -303. Let g = x - 273. What is the smallest common multiple of g and 75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 + -175. Suppose -i = -2*d + 194. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1212 and -3.\nAnswer: -3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*h + 446, 2*f + 11 = 3. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79167 and 2103.\nAnswer: 55496067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g - 4 = -4*j, -10 = -5*g - 5*j. Let y(b) = -b**3 + 4*b**2 + 4*b - 3. Let q be y(5). Let x = g + q. Put x, -2\/15, 0.5 in decreasing order.\nAnswer: 0.5, -2\/15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 (base 3) in base 13?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 16171 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:51 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1. Let t(w) = -8*w + 22. Let z(x) = 44*n(x) - 2*t(x). Let g = 124 + 24. Let p(v) = -148 + 2*v + g. Calculate p(z(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(4 + (sqrt(147) + 0 - sqrt(147)) + -1 + 1)**2.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1572257, 1572604, 1572951?\nAnswer: 1573298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 + 3*q + 6. Let u(k) = -k**2 + k. Suppose -5893*h = -5886*h + 7. Give h*x(r) + 3*u(r).\nAnswer: r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 2*i + 11 - 10 - 3. Let n(l) = 3*l - 10. Let h(q) = -5*k(q) + n(q). Let w(m) = 6*m + 3 - 3. What is w(h(a))?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934209 to the power of 1\/2, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c = 111*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3308498 - 0?\nAnswer: -3308498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v - 316 = 0. Let s = 1104\/7 + v. Is s >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*p - 39 = 0, 14*p - 12*p + 1 = -r. Put -19, r, -3 in increasing order.\nAnswer: -19, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 + d + 5. Let s be v(-4). Let u be -8 + 0\/(-1) + s. Let h(b) = 8*b**3 - 3*b**2 - 4*b - 2. Let c be h(-1). Which is greater: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144 + -88. Suppose -5*b + 1 - 21 = 0, 0 = -3*j - b + i. What is the lowest common multiple of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4851087 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62.98 + -73.09. Let t = 136 + o. What is the fourth smallest value in 5, 0.3, -0.5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15652 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1 - 21*f - 1. Let m(j) = -338 + j**2 - 4*j + 338 + 4*j. Determine n(m(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**6 + 1179*f**5 - 675*f**3 + 70457*f**2 - 713 wrt f.\nAnswer: -360*f**3 + 70740*f**2 - 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*k + 1563 - 1569, -15 = -5*m + 2*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -52 - -34 - 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159584100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1400020 * -0.15\nAnswer: -210003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -58. Which is the second biggest value? (a) t (b) -8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1560*q + 70. List the prime factors of m(5).\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976610957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*v - 11. Let i be (0 - -8)*1\/v. Calculate the remainder when 43 is divided by (5\/i)\/((-2)\/(-24)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 4:21 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a hour in minutes?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14561 + 14573. What is the least common multiple of k and 329?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 2)*(24*r - 15*r - 18*r + (-2*r + r + 2*r)*(-1 + 0 + 3) + 4*r + 3*r - 4*r) as x + t*r and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*u - 6599 = 0, 0 = -29*c + 27*c + 3*u + 6617. List the prime factors of c.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Suppose 6*c = u*c. Suppose 4*b + 0*b - 2200 = c. Round b to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 6:32 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 120\/(-9) + 10\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -29, -37, -49?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**3 + 7*s**2 - s - 7. Let x(i) = 7*i**3 + 6*i**2 - i - 6. Determine -7*x(l) + 6*z(l).\nAnswer: -7*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 143*w + 287. Let s = 13 + -12.99. Which is the fourth biggest value? (a) -3 (b) -2\/11 (c) w (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 97259806.7272 and -0.2.\nAnswer: 97259806.5272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 2. Let g = -3 + 7. Suppose -2 = g*l + 6. What is the remainder when 16 is divided by h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 65, 329, 927, 1991, 3653, 6045?\n\"Answer: 22*b**3 - 31*b**2 + b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.51 (c) 4.7 (d) -12 (e) 3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 5808570*l - 5808565.\nAnswer: -5*(l - 1161713)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47800057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0 = 16. Let d = -160 + 156. Which is the biggest value? (a) -5 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1406 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 302\/((-1)\/((-28)\/(-8))). Let a = u + 32. Let v = -10293\/10 - a. Calculate the common denominator of v and -18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3047384 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29662226 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -1.6. Let l = 145.1 + -145.3. Which is the nearest to l? (a) -3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1461 - 1526)*(-6)\/26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 20*n - 34*n + 14*n - 2*n**2. Let u(h) be the second derivative of -17*h**3\/6 - 2*h - 8. Calculate c(u(y)).\nAnswer: -578*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 1083376 - 1083446 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(875))\/(sqrt(15)\/(sqrt(36)\/sqrt(12))))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -308, -0.2, 0.1, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/630*14)\/(((-6)\/(-315))\/(-2)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) - (2*sqrt(640)*-4 + sqrt(640)) - sqrt(640)) + (sqrt(640) + (sqrt(640) - 1*sqrt(640)))*1)\/((sqrt(66)\/sqrt(12))\/(sqrt(1100) + sqrt(1100)*2)).\nAnswer: 3840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29613153 + -122.70443847. Let t = 123 + y. Round t to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 7*p**2 - 3*p + 3. Let y(g) = g**3 + 12*g**2 + 13*g + 24. Calculate the lowest common multiple of y(-11) and t(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 1467 - 1491 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 172*z + 2928. What is the remainder when 354 is divided by n(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*-6*(3*sqrt(637))**2.\nAnswer: -206389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79475481439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -24*d - 3. Let g be t(0). Let k be -1*(g + 5) + 441. What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = 0, -2*i = -g - 4*g - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/6)\/(168\/108). Which is the nearest to -2\/7? (a) t (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vss when three letters picked without replacement from {v: 2, s: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 5*z - 116 - 239.\nAnswer: 2*z - 355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35610431251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-6)*(-282)\/(-1880)*-2*5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -667.7 times 0.5\nAnswer: -333.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = -2*q. Let d = 11 + q. Suppose d*y = 5*y - 3. Let a(l) = l**3 + l**2 + 2*l + 1. Calculate a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 7. Let c be a(-4). Let j = c - 16. What is the units digit of j*(-20)\/6 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 55, 23, -29, -107?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*((-8)\/(-35))\/(20\/(-70)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5308 and 2270497?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhnhnvbvvbvbn. What is prob of picking 1 v, 2 h, and 1 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:50 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llclc. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 306198457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1\/(-4 - -7)). Let o be 2*-2*1\/4*k. Let x(c) = 2*c**2 - c. What is x(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-15)*(-10)\/(-4). What is the units digit of (o\/(-5) - 1)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**6\/20 - 21*q**5\/40 + 3*q**4\/4 - 33*q + 6. Let k(t) be the first derivative of p(t). Factor k(u).\nAnswer: 3*u**2*(u - 6)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438 - 872 + 3*y**2 + 434.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*r - 110 - 127 = 0, 3*q - 2*r - 718 = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0675 + -2.0675. Put 5, 0.5, 0.04, y in ascending order.\nAnswer: y, 0.04, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22934 + 22933.5. Let c = 1.7 + 0.3. Let d = c + -1.8. Put 0, d, 3, p in decreasing order.\nAnswer: 3, d, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*x + 102 = 3*x, 78 = 2*n - 4*x. Suppose 7*g - 3 = 6*g + 2*w, 5*w - 12 = -4*g. Calculate the greatest common factor of n and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let d(k) = -k**2 + 5. Let o(c) be the second derivative of c**4\/6 - 7*c**2 - 4*c. Let z(f) = 14*d(f) + 5*o(f). Give h(z(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 1 + 0 + 4*a**2 - 2*a. Let m = 5 + -3. Let t(u) = u - 4*u - u - u**3 + 4 - 7*u**2 + 11*u. What is m*t(b) + 7*k(b)?\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6430729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 9) in base 7?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 950525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*z + 2*h - 4*h + 10, 4*z + 0*z = 5*h - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 + 427. Let x = m + -130. Solve 4*i + x - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 7*i + 6. Let u(v) = 5 - v**2 + 4*v**3 - 2*v**3 + 0*v**2 - v**3. Let h be u(0). Let d be w(h). Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**2 - 1\/30*m**6 + 0*m**4 + m + 1\/40*m**5 - 1 + 1\/84*m**7 + 0*m**3. Let v(k) be the first derivative of p(k). Factor v(u).\nAnswer: u**3*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 37 = -35. Let s = 27 + h. Solve -r = k - 1, s*k - r - 9 = -2*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-4)*((-135)\/63)\/(-5). Let x = 0.37 + -0.07. What is the smallest value in 0.5, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13965.69411 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-16) - (1836\/32)\/(-3). What is the first derivative of 35 + 17*t**4 + 37 - 18*t**4 - r*t**4 wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -59. Let f be (-6)\/(-8) - (-6)\/p. List the prime factors of 19\/f + -6 + 6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c = -51*c - 1386. Let j = -223 + c. Solve -5*m = j - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26710.\nAnswer: 2, 5, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 5, k: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p - 410 - 250 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104924\/4265 + -1\/853. Determine n so that 21\/5*n - 79\/5*n**2 - 63\/5*n**4 + h*n**3 - 2\/5 = 0.\nAnswer: 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3240 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - u = -3*u + 8, -n = -2*u + 2. Find the third derivative of 2 - 423*q**3 + 2 - 2*q**n + 359*q**3 wrt q.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -357*a - 887. Let d be (-4)\/(-558)*(-6)\/(-8). Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 50. Calculate the least common multiple of 26\/3 - (-4)\/(-6) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 58 = -0*l. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12353*u - 443 - 604 = -12369*u - 119 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*o - 3*o + 9*o + (-2 + 0 + 3)*(o + 3*o - o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/16 and 11\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39278364 divided by 68.\nAnswer: -577623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 2. Let r(p) = 13*p**2 - 9. Let d(i) = -2*r(i) + 9*v(i). Let h(s) = -3*s. Give h(d(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6590 and 18?\nAnswer: 59310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 3 - (-9 - -15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/66 + 1666*b**3\/33 - 693889*b**2\/11 + 1329*b. Find h such that j(h) = 0.\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 59. Suppose -4*s - 2 = a. Let n be (-246400008)\/(-44) - s\/(-22). Round n to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*d - 1080 = 0, 1810 = -o + 6*o - 3*d. Let x be ((-2)\/(-5))\/(1\/o). Suppose -4*c - 2*q = -x, 4*q + 208 - 56 = 4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 421.6 and -2.\nAnswer: -843.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-10) + -2)*5. Let u be (2 - (-20)\/8)*4\/r. Is u less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/13 (b) -3\/760 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 23*b**2 - 60*b - 25. What is h(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178\/15 - 3073\/240. Calculate the common denominator of i and -59\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 3360 - 584 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440a8 (base 14) in base 9?\nAnswer: -1280720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2147 - -2147. Solve 4*l + 3*x = -12 - 0, 4*l - 5*x + 12 = h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8225 - 74119\/9. Let l = -631\/63 - t. What is the third smallest value in 6\/11, l, -16?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3)*(-4 - 51\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 28*h**3 - 567*h**2 + 340*h + 250. Let f(m) = 9*m**3 - 189*m**2 + 114*m + 84. Let l(c) = 6*b(c) - 17*f(c). Let l(v) = 0. What is v?\nAnswer: -2\/5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -483*a - 3390. Give r(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -231640.\nAnswer: 115820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**2 - 372180*a - 2977184 = 0.\nAnswer: -93037, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/3)\/(8\/12). Suppose -2*o + c - 3 + f = 0, -2*o - 4*c - 14 = 0. Let b = 5 - o. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -3*n = 4*m - 11, -5*n - 839 = -5*m - 834. Sort m, z, -5, 7 in decreasing order.\nAnswer: 7, z, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p. What is the tens digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 976.1592 micrograms?\nAnswer: 0.9761592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -68*o**2 - 280*o - 32 = 0?\nAnswer: -4, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513761421?\nAnswer: 3, 171253807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*x + 100*x + 316 = 2120 + 1136 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -272*c**3 - 10*c**2 - 2*c - 7. What is the remainder when 4269 is divided by z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 152\/5. Is c at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33844 <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 176?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/2 - 3602301*o**3\/2 - 540689620032*o**2 + 540691421184*o.\nAnswer: -3*o*(o - 1)*(o + 600384)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmmmmmmmmpmmpppm.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.1 (c) 8 (d) 3 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90495?\nAnswer: 3, 5, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 33. What is the remainder when 99 is divided by (3 + -3 - -1) + d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*i**2 + 873*a**3*i + 542*a**2*i**2 + 3*i**2 wrt i.\nAnswer: -6*a**3 + 1084*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252855 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: Let g(d) = 8264*d**3 - 15*d**2 - 20*d + 5. Let p(i) = -4132*i**3 + 9*i**2 + 12*i - 3. Determine -3*g(f) - 5*p(f).\nAnswer: -4132*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - d + 3 - 2 + d**3 + d**3 to the form g*d**3 + l + i*d + p*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398217117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6985075 is divided by 357.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:01 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 14 + 2. Let s = -3 - u. Which is the nearest to s? (a) -1 (b) -3\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-2 - -4)) + -2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {x: 2, d: 4, f: 4, j: 5, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*q = 3114, -q = -3*u - 439 - 1421. Let t be ((-3)\/(-9))\/((-9)\/u). What is the highest common divisor of 207 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 14 - 5. Suppose 91*l + 428 = -36*l + 1317. Calculate the least common multiple of l and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11598 is divided by 353?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 464 + -464.21. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13078\/11 + -1189. What is the biggest value in 3, -143, 1\/4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from fptjcjzpczzzczccc.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o - 24. Suppose 2*p - o = -3*q, p = -2*p. Let l = 14 + -4. What is the lowest common multiple of l and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 15*w**2 - 2*w + 12. What is r(15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {h: 2, c: 16}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2523? (a) 4 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 5. Let d be t(0). Let g = 13 + d. Suppose 639*l - 15296 = -2516. Calculate the greatest common divisor of l and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away -1719053?\nAnswer: 1719054.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-19)*h*h**(-12) assuming h is positive.\nAnswer: h**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 634690221 to the power of 1\/4, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -4, 4, 11, -2083 in decreasing order.\nAnswer: 11, 4, 1, -0.1, -4, -2083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747 is divided by 863.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uueu when four letters picked without replacement from auaaeuueaeau?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a - 183*a = 66*a - 75087. Solve a*o = 247*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i + i)*(-8*i**4 + 8*i**4 + 3*i**4)*(-5 + 6 + 0).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31349 and 138736?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -31, -89, -199, -379?\n\"Answer: -3*a**3 + a**2 - 6*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147147 less than 5135820?\nAnswer: 5135819.852853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {t: 3, o: 1, r: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 433*g**4 + 15*g**5 - 433*g**4 + 2*g**5 - 3*g + 2*g + 0*g + (1 - 1 + g**2)*(-3 - g**3 + 3) + (g**3 + 2*g**2 - 2*g**2)*(2*g**2 - g**2 + 2*g**2).\nAnswer: 19*g**5 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*138*(-1)\/(-4). Let p = 30 + -96. Let m = p - t. Solve m*l - l = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/(-5))\/(4\/(-1660)). Calculate the greatest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4\/5 (b) -5 (c) 2\/9 (d) 36 (e) -2\/5 (f) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10017433?\nAnswer: 31, 59, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13573 is divided by 9930.\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r + 5 = 54*r. Let d be (r - -3) + (-13 - -11). Solve 1 = 3*k - 2*b, -2*k + 2*b = 4 - d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {e: 8, m: 3, g: 7, p: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s**2 + s)*(s + 27*s + 33*s).\nAnswer: 183*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*c + 3*a + 1, 0 = 5*a - 20. Let y = -10 + 21. What is the least common multiple of -1*(0\/(-2) + c) and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -68*l**3 + 12*l**2 - 3*l + 4. Let a(p) = -1. Let x(j) = -4*a(j) - w(j). Find the third derivative of x(m) wrt m.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 108 + 75. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n)**(-10\/9)\/((n*(n*n*n\/((n*(n*n**0*n*n)\/n)\/n)*n)\/n)\/(n*n*n*n*((n*n**(-19))\/n)\/n*n)) assuming n is positive.\nAnswer: n**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -1 - ((-17 - -23) + -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 6*y**2 + 5*y - 3. Let h = 10 + -4. Is 9 a factor of b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*t = -11*t + 1767 + 984 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 3042 = -212. Let w = z - -431. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-808)\/80)*5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b - 9. Let q(n) = -2*n + 3. Let f(z) = 4*g(z) + 11*q(z). Let j be f(-2). What are the prime factors of -1*(-71 - 0\/j)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let o be (k\/3)\/2*1. Suppose o = 4*g - 602953 - 477047. What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (95 + -108 + 148)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2860059?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*3*-1*sqrt(190))\/(sqrt(40)\/sqrt(4)*-4 + (sqrt(10) + (sqrt(10) - sqrt(40)))*-4) + -2.\nAnswer: -6 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c + 2. Let l(v) = -18*v - 4. Give 9*f(d) + 4*l(d).\nAnswer: 9*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1211011 to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5*50\/5. Suppose 3*h - 18 = j, -o*h = -j - 24 + 1. Which is the nearest to -1\/3? (a) -5 (b) 4 (c) j (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*t, -t = -5*p + 8*p - 7888. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442375818?\nAnswer: 2, 3, 73729303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8*1612\/13. What is the tens digit of -1 + 2 - (-3 + k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/27)\/((40\/4)\/(-480))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 244 (c) -1\/3 (d) 4\/3 (e) 9248 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -78, -26, 33, 5, -2\/3, -4, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 37031, -2 in decreasing order.\nAnswer: 37031, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 + -64. Suppose -115 = -a*o - 5*x, -3*x + 24 = -2*o + 95. Suppose -o*k = -21*k. Solve k = -3*g + 14 + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/5292)\/((-5)\/3290).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90336.\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173.9 - 174. What is the biggest value in 2\/539, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a + 5. Let p = 4 - -4. Let j(t) = 6 - 4 - 1. Let m(i) = 2*i - 5. Let h(x) = -3*j(x) - m(x). Give p*h(o) - 3*d(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 257*p + 3*p**3 + 257*p.\nAnswer: 3*p**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 757627 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -556147*g**6 - 2*g**5 - g**2 - 5420*g + 16 wrt g.\nAnswer: -66737640*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:04 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 8:46 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnq. What is prob of sequence nq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 4*k - 10, 4*s - k = -6. Let b(p) be the first derivative of 17*p**3\/3 - p**2\/2 + 1. Is 6 a factor of b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -20*t. Let w(u) = -31*u**2 - 4*u. Calculate j(w(l)).\nAnswer: 620*l**2 + 80*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 3*w = -9*z + 9 - 59, 5*z - 40*w = 50 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69873.\nAnswer: 3, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/2*(-1)\/2. Let c be ((-6)\/(-2) - b) + (0 - -3). Suppose -c*r = -820 - 1187. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40415543 (base 7) to base 4.\nAnswer: -30311232200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -313842.15 + 313842. Let i = 1 + 13. What is the second smallest value in -5, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.5. Let w be (32\/(-84))\/(24\/(-28)). Which is the biggest value? (a) 0.3 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((57\/(-78))\/19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 430880369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + 5*i + 3. Let h(q) = 63*q - 5. Let j be h(1). Let b = j + -98. Let d = b + 35. Calculate g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 - 110*x\/7 - 3025\/7.\nAnswer: -(x + 55)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 32321112?\nAnswer: 32321102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t - 72. Suppose 0*g = 4*g - t. What is the least common multiple of 10 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 284288.\nAnswer: 284288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 205768 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 588 and 14?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-17) + 112672\/(-1190))*5. Let c = u + 1015. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/6 + 12*d + 69. Let a(v) = 84*v**2 - 4. Calculate i(a(p)).\nAnswer: 14112*p**4 - 1344*p**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 7*l. Suppose l = 3*s + s - 12. Solve 0 = -b - c, s*b + c - 4 = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - (0 - -6 - -2)) + 0 - -6?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 + 26. Let v(c) = 2*c. Give v(s(l)).\nAnswer: 10*l**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54.3 - -54. Which is the nearest to -2\/17? (a) 2 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98.59 + 102.901. Round i to one dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = -4*h - 37. Suppose 3*g + h = 258. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*z + 173*z - 36*z to the form g*z + f and give g.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 13967.226332 to the nearest ten.\nAnswer: 13970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 23*f - 10. Let j be -2*f\/(-40) + (-26)\/(-8). What is the closest to -1\/3 in -1\/6, -3, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 43*l**3 - 2*l**2 - 4*l + 4. Let g(n) = -n**2 - n + 1. Determine -b(o) + 4*g(o).\nAnswer: -43*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 12*x + 4. Let u be f(-6). Solve -q + 3*q - 16 = u*g, -5*q = g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2200) - -1*sqrt(2200)))\/((sqrt(77) - sqrt(77)*-2*-5)\/sqrt(7)).\nAnswer: -20*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8083 - -8959. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 10. Let b be h(10). What is the third derivative of 3*p**2 + p**2 + b*p**2 - 3*p**5 + 8*p**5 wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -47, 0.3, 3, -3\/8?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 19*v**2 - 10*v. Let p(m) = -6*m**2 + 3*m. Determine 2*g(c) + 7*p(c).\nAnswer: 2*c**3 - 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.14 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 948 = 4*r, -5*y + 732 = -2*r - 4206. Solve y*l = 983*l - 7 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 7*n**2 + 8*n - 3. Calculate the least common multiple of l(6) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1*4\/2. Let i(w) = 2*w**3 + 5*w**2 - 4*w. Let u(p) be the first derivative of -p**4\/2 - 4*p**3\/3 + 3*p**2\/2 - 4. Calculate b*i(a) + 3*u(a).\nAnswer: -2*a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 94 + 31. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -580661, -1161322, -1741985, -2322650, -2903317, -3483986, -4064657?\nAnswer: -4645330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(468) + -2)**2.\nAnswer: 24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4577148 + -27.03?\nAnswer: -26.5722852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1491)\/18 - (3 + (-17)\/6). Let t = 1 - m. Is (489\/6)\/(6\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 + 4*i**3 - 4*i**2 - 4*i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 66*q - 165, -4*q + 136 = -175*x + 171*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 742.2255s to microseconds.\nAnswer: 742225500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 + 278. Suppose -2*c - 90 = -3*c + 3*b, 5*c - f = -b. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69827 bigger than -69849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7633*k = -2323*k + 2568*k + 344829 + 41193 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1957258*x + 3914500. Determine u(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 7*q - 1. Suppose 0 = -3*g - g - 20. Let x be r(g). Calculate the greatest common factor of x and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 2*m - 3*q, -m + 4*m + 5*q = -150. Let r be (-12)\/(-15)*m\/4. Let p = 1 - r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 29*s**2 - 169. Suppose -a - 3*y = -19 - 14, 81 = 4*a - 5*y. Calculate the remainder when c(-14) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 1 + (2*2*sqrt(847) - (sqrt(847) + 0 + 2))*-3)**2.\nAnswer: -3168*sqrt(7) + 137342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**2 - 41684*p = 0.\nAnswer: -10421, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-9) - (-10)\/(-36). Do i and 1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3*k + 4)*(-8 - 13 - 13) to the form h + r*k and give r.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -697205 divided by 139441?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 - 7*u - 19. Let k(s) = -14*s**2 + 21*s + 56. Let g(p) = 6*k(p) + 17*v(p). Let q be g(-5). Solve 17 + q = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 47 + (-43 - (-3 + -53))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 9*g - 52. Let f(p) be the first derivative of p**3 - 3*p**2\/2 - 2*p + 43. Determine f(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/810464 and 7\/5332.\nAnswer: 810464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*i - 169 = 0, -r + 5*i + 190 = 4*r. Let w = -4 + 9. Calculate the highest common divisor of w and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372372515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 4*m - 104, -m + 37 = 41*x - 44*x - 57 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*l = -6, 70*l + 237 - 383 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52478 by 2762.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1895604 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -32. Suppose -5*v = -2*v - u. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 668148\/18)*(-60)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -167, -9, 385, 1117, 2289, 4003, 6361?\nAnswer: 9465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*s**3 + s**2 + s**2 - 91*s**3 to the form h*s**3 + t*s**2 + a + y*s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -0.024?\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 246*r**2 - 21*r - 65. Let w(a) = -124*a**2 + 10*a + 28. Determine 6*k(f) + 14*w(f).\nAnswer: -260*f**2 + 14*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2a858 (base 11) to base 7\nAnswer: -241116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4835955393?\nAnswer: 3, 19901051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 28 = 0. Suppose 156 = b*l - 3*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 117.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6*((-7)\/(168\/(-38900)))\/(8\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -29) + 33 - -11\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 34 (c) 7 (d) -0.5 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u - 1. Suppose -o - 19 + 17 = 0. Calculate z(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101380 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-4))\/((-6)\/18*-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 12, i: 1}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h. Let f be (-2)\/4*50\/(-5). Let w(a) = -a. Give f*w(k) + 2*y(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.670478996 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8250 and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f + 7*f + 3*f + 13*f + 10*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 770910*a - 10. Let w = 20 + -9. Let v be b(w). What is v rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 - -368. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {b: 6, f: 5, k: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(4*t + t - 4*t) + (-t - 4*t + 3*t)*(2 - 2 + 14) + 2*t - 3 + 3)*(t + 2*t + 2*t).\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9525439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 4 = -10*u. Suppose a - u = -0*a, -2*a = -5*n + 14. Suppose r - 52 = n*b, 3*r - 4*r + 2*b = -46. Which is greater: r or 39?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001101100010 (base 2) in base 16?\nAnswer: -11362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*f = -25, -7*s - 362*f - 45 = -364*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 387.1768754 to two decimal places.\nAnswer: 387.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -849, -1908, -3399, -5328, -7701?\nAnswer: -10524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/15, -4\/5, -3, -94, -8.\nAnswer: -94, -8, -3, -4\/5, 8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 47 - 2*y**2 + 0*y**2 + 2*y)*(0 + 0 + 11*y).\nAnswer: -22*y**3 + 22*y**2 - 33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 19*o - 9 + 27 + 22*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 18*f**2 - 66*f + 185. Give k(-5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11 from -20.\nAnswer: -19.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/(-882)*7\/(-3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4000253 (base 9) to base 12.\nAnswer: 866386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73322457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*m - 11. Suppose 0*k + 7839 = m*k - 2*q, -2*k - 5*q + 3124 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by -5 + (0 - (-200)\/5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 4*y + 59 + 1, -5*y - 55 = 5*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = 17*j + 110. Find the third derivative of -62*l**2 - 22*l**2 + 2*l**3 - j*l**4 - 13*l**2 wrt l.\nAnswer: -264*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1011*r + 7195 + 49421 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/60 - 3*h**4\/8 + 4*h**3\/3 - 28*h**2 - 1. What is i(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -35*w**2 + 1299*w - 66. Let v be h(37). Put v, -8, -3 in descending order.\nAnswer: v, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 11, i: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 207 = m - 216, -9 = 4*m + 3*b for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -836 + 872. Suppose -33*n = 3*c - j*n - 108, -2*c + 70 = -3*n. Suppose -3*y + 228 = -0*y. Calculate the highest common divisor of c and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -33. Let l be (-1)\/(-2 + 1)*j. Solve l*b = b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012235147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*o + 634*o - 35 = 5*q, -2*o + 35 = -5*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 2*l - 10. Let z(w) = 3*w - 56 - 89 + 3*w + l. Let t be z(6). Solve f = -t*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/3))**(1\/28) assuming r is positive.\nAnswer: r**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -473451 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12*w + 7. What is s(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 91841423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 44, 17, -42, -145, -304, -531?\n\"Answer: -2*g**3 + 2*g**2 + g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 30. Suppose -4*t = -4*j + 1736, 4*j + 3*t - 1733 = f*t. Let u = j + -251. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6583 divided by 2?\nAnswer: 6583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 266221.\nAnswer: -266221.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 310*g**3*q**2 + 6058*g**2*q**3 + 213016*q**3 - 2*q wrt g?\nAnswer: 930*g**2*q**2 + 12116*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + 3 + (2 + 3*1*sqrt(432)*-1 + -2)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9181248, 18362473, 27543698?\n\"Answer: 9181225*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*j - 20592 = 1550*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**3 - f**2 + 3*f**2 - 33*f**2 - 25*f**4 + 26*f**4 - 96*f**2 wrt f?\nAnswer: 24*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24626972 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, 1 m, and 1 g when four letters picked without replacement from gmcgzmk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 - 16*j + 67. List the prime factors of z(8).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -92 and 5\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 686591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 37*b + 5. Let u be q(17). Suppose 390 = 3*c - u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**3 + g. Let p be k(-1). Solve -2*u - r - 1 = -u, -5*r + p = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 9823604*u + 12062899443602.\nAnswer: 2*(u + 2455901)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmkmmsekkamhk. Give prob of sequence ekak.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1147 or -1148?\nAnswer: -1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10567\/5467 - -270\/497. Let g = -905\/567 - -2\/81. Let x = l - g. Put -0.3, 5, x, -1\/6 in descending order.\nAnswer: 5, x, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359949926 to the nearest integer?\nAnswer: 18972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -88. Suppose -3*a + 34 = -w. Calculate the remainder when a is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137147986 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3446 by 6.\nAnswer: 1723\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b - 6. Let m be v(3). Put 2, -5, m in increasing order.\nAnswer: m, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -96*z + 283. Let a be i(3). Sort -3, a, 601 in decreasing order.\nAnswer: 601, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -6*x + 5816654 - 5816539, 4*a - 91 = -5*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -961994.\nAnswer: 1\/961994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*n**2 + 0 + 0 + 3*n**3 + 451*n**2 - 70*n**3 + 482*n**2.\nAnswer: -67*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31.5 times -0.8\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 43*k + 21. Let m be r(-18). Suppose -m*p + 224*p = 6250. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**5 - n**4 - n**3 - 3*n**2 - n. Let p(r) = 11*r**5 + 28*r**4 - 131*r**3 - 84*r**2 + 106*r. Let z(b) = 14*l(b) - p(b). Find v, given that z(v) = 0.\nAnswer: -1, 0, 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(0 - 360). Suppose 5*n + 448 = n. Find the common denominator of -49 and 1\/4 - u\/n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 38 (c) 242465\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 3*p**2 - p**2 - 3*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1309, -813.1, 0.4 in descending order.\nAnswer: 0.4, -813.1, -1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 41*k - 2)*(136 - 136 - 40*k).\nAnswer: -1640*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 265, 258, 251, 244, 237?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 272, 613, 1090, 1703, 2452, 3337?\nAnswer: 4358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + sqrt(500))**2 - (3 + sqrt(5) + 4).\nAnswer: -sqrt(5) + 598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(343) + 4*-1*sqrt(343) - sqrt(343)) + -1)**2 + -1*(0 + sqrt(343)) + -5*-1*sqrt(343))*4.\nAnswer: 1008*sqrt(7) + 65868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 54*o - 2 - 5.\nAnswer: -54*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -6329?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -19, 13811, -10 in descending order.\nAnswer: 13811, 3, 1, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 80*t + 1212. Let o = 3 - 4. What is the lowest common multiple of l(-15) and 18\/1 + (-1 - o)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**3 + 185*q**2 + 60*q - 18. What is t(-20)?\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -31461 (c) 2\/49 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5\/5 - 32*y**4 - 456*y**3\/5 - 448*y**2\/5 - 148*y\/5 = 0. Calculate y.\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317433*t = -317475*t - 1008 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i - 2. What is the remainder when q(5) is divided by (1 - 0) + ((-2448)\/17)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58, 62, 70, 82?\n\"Answer: 2*b**2 - 2*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194219356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-18) + 1)\/(4\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**5\/20 - 5*u**4\/4 + 5*u**3 - 29*u**2\/2 + 15*u. Let b be j(14). What is the highest common divisor of b and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*m - 125 = 0, -3*m - 22 = -2*n + 53. What is the greatest common factor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(sqrt(605) + -1)*5.\nAnswer: -165*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(2025\/(-18)))\/(12\/10)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.99999951 + 48. Round r to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*sqrt(72)\/sqrt(3))\/((sqrt(60) - sqrt(240))\/sqrt(5)))**2 + (2*sqrt(1536))\/(sqrt(300)*-1 - sqrt(12)) + 2.\nAnswer: -8*sqrt(2)\/3 + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2. Let o(y) = -43*y**2 + 32. Calculate o(f(h)).\nAnswer: -387*h**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -772639*d + 772638*d + 53*d**2 + 278 - 11*d**2 - 2*d**5 wrt d.\nAnswer: -40*d**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 1 (c) 15\/8 (d) -0.3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 18*f**2 + 65*f + 42. Let o be x(-21). Let n(m) be the first derivative of o*m + 2 - 1\/2*m**2. Let y(t) = 2*t. Give n(y(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*h + 46. Let n = 0 + 0. Suppose 5*d - 22 - h = n. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + -173.2. What is the closest to -2\/3 in 2, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*o + 34*o + 1 - 4)*(5*o**2 - o**2 - 6*o**2).\nAnswer: -4*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-270) - (-32)\/15. Sort -0.3, 0.27, h in increasing order.\nAnswer: -0.3, 0.27, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510 = 4*h - 18*n + 109*n + 1780 + 926, -5*h - 3*n = 87 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4561 - 159. What is a rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 19. Determine x(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 86254283?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116212\/11963)\/(6\/21).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 65. Sort -7, -3, c.\nAnswer: -7, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 16 = -51*t. Solve -32*x + 28*x + t = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 110 = -6*z. Let n = 3 + z. What is the remainder when 72 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**4 + 55*v**3 + 320*v**2 - 3520*v = 0.\nAnswer: -8, 0, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100221 - 10021111021121?\nAnswer: -10021110220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215 - -1514664?\nAnswer: 1515101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3, -5*j - 4 = 1060*r - 1056*r. What is the nearest to -5\/6 in 0.07, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985926031?\nAnswer: 877, 1124203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 17*y - 276. Calculate p(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499 + 628. Calculate the remainder when l is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3337*w. Let n(f) = -f**2 + 450*f. Calculate n(d(t)).\nAnswer: -11135569*t**2 - 1501650*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 72383?\nAnswer: -72382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*b = -35, 4*f - 5*f + 3*b = -8. Let k = -10 + f. Solve -5*w + p - k = 0, -3*w = -2*p + p + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 2. Let a be o(5). Let r = -35 + 40. Suppose s - 3*b + 11 = r*s, 0 = -4*b - 12. Put s, -2, a in descending order.\nAnswer: s, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260 + -130. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-44)\/12 + 240\/630. Sort 12, -2\/49, g.\nAnswer: g, -2\/49, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) + (-55)\/4. Is f equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27412.\nAnswer: 2, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -15. Suppose 5*c = -3*b + 2, 0 = g*c + 5 + 1. Suppose -4*l + 5*i + 89 = 0, -b*l + 42 = -4*i - 46. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 231.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rssst. What is prob of picking 3 s and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/9868 and 65\/914?\nAnswer: 4509676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -844561*b**2\/6 - 3676*b - 24 = 0.\nAnswer: -12\/919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3048 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b6 - d?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 667906*v - 37402735. Calculate k(56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1132 at least as big as -1332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5643785588 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-313 + 313 - 70*n)*(-1 + 1 + 2)*(5*n + 9*n + 0*n).\nAnswer: -1960*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 500177 * -0.3\nAnswer: -150053.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuvb when four letters picked without replacement from uxuxuuubuvvx?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/27)\/((-98)\/(-468) - 44\/286)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: c4c (base 16) to base 7\nAnswer: 12115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (872\/(-218))\/(((-1)\/(-1))\/((-12)\/6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*j - 82*j - 68480 = 0. What is j rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2304\/(-8064) + (-3)\/(-35).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1727*w - 1743*w + 2177 + 3469*w as t*w + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 12. Let b(m) = -m - 8. Let u(a) = -7*b(a) - 5*g(a). Suppose 0 = -3*p + 3 - 12. Calculate u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868203719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, a: 1, t: 1, h: 1}. What is prob of picking 1 t, 1 a, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 1. Suppose 2*w - 7*l = -4*l + 2, 4*l = 2*w. Calculate b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12288 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 - 37 + 574*h + 1 + 9*h**2 - 586*h = 0. Calculate h.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 + 6*w**2 + 21*w - 7. Let k be j(4). Let i be (2\/15)\/((-9)\/(-15)). Which is the fourth biggest value? (a) -4\/7 (b) i (c) k (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12225 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -4. Let d = q + 8. Which is the third biggest value? (a) d (b) 3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 3*j = -36, -51 = -4*s + 5*j. What is the least common multiple of s and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/29)\/((i*i*i**8*i)\/i))**(1\/7) assuming i is positive.\nAnswer: i**(-288\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*p - 6*m, -3*m + 21 = -4*p + 18 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 11. Let j be d(8). Let x = -9 - j. Let r(z) = 4 - 2 + 1 - 6*z. Let y(m) = 11*m - 5. What is x*y(o) - 7*r(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(7 - (-91)\/(-14)). Let c(q) be the third derivative of 0*q**3 - 3\/8*q**4 + 0*q + 0 + q**l. Let m(y) = y. Give c(m(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30962 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**36 assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4161 - 4140 - 2066\/98\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 41. Let r be w(17). Let k be 5\/r*6 + 1. Solve 2*q = -k - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9*6 + -87887. Let k = -191885 - m. What is k rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 177 + 75?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/(-14) - 3 - (-4)\/(-14). Suppose -r*a + 3*a = 2*d + 139, 5*d = -5*a + 650. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -392*w + 21*w**5 - 404*w + 8*w**5 - 196*w**5 wrt w?\nAnswer: -3340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*t = -n - 29, 35 = -4*n - 5*t. Let f(x) = -x**2 + 4*x - 2. Let u be f(n). Let o = u - -70. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 255\/7 - (-6)\/(-14). Suppose 8*y - 44 = z. Calculate the remainder when 37 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11252 at least as big as 146290\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24*h**3 + 1859*h**2 - 1014*h - 19. Give r(-78).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-18)*f)\/f)\/f**10)**(2\/137) assuming f is positive.\nAnswer: f**(-56\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 31*r**2 + 4. Let n be y(31). Put -26, -13, -4, n in ascending order.\nAnswer: -26, -13, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 0.053, 1\/5, -3, 13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-12) + (-2)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 - 1\/4. Suppose 2955 = -2155*p + 3140*p. Solve -i + 7 - p = v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100010101 (base 2) in base 6?\nAnswer: -3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvviivivvv. Give prob of picking 3 i.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1761 and 487050?\nAnswer: 285898350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 735930 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*b = -1, 78 - 117 = 10*l - 5*b - 159 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -336 - 337 + 671. Let s(a) = a**2 - 2. What is 3*q(b) - 2*s(b)?\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7821522 - 4863822. Round b to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 n when four letters picked without replacement from {n: 7, w: 10, u: 1, k: 2}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (132\/18 - 6)*60\/16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 206778?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**5 + 6*x**5 + x**5 + (0*x**2 - x**2 + 2*x**2)*(-3*x**3 + 3*x**3 + x**3) + 10*x**5 + 14*x + 12*x - 11*x**5.\nAnswer: 3*x**5 + 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2754 by 6.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -46. Let d = 44 + -25. Let f = -19.7 + d. What is the third smallest value in g, 0.5, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 8. Solve 0 = g*s - 28 + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5564*i**2 - 3436*i**3 - 5564*i**2 + i**2 - i**2 + 2*i**3 + (-1 + i + 1)*(0*i**2 - i**2 + 3*i**2) - i**2 + i**2 + i**3 - i**3 + 3*i**3 - 4*i**3.\nAnswer: -3433*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.876 + -36.376. Which is the biggest value? (a) j (b) 11\/75 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -43815.164.\nAnswer: 8763.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68.4 - 58. Let b = 9.08 - p. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(14\/9)\/f)\/(f*((f*(f*(f*f\/f**(6\/5))\/f)\/f*f)\/f)\/f))\/(f\/(f*f**(-5\/3)))**47)**(-2\/3) assuming f is positive.\nAnswer: f**(7072\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 587*r - 67. Is y(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 22. Let p be s(-11). Let n(d) = d**2 + 4. Calculate n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69b37 (base 15) to base 8\nAnswer: 1221414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -2. Solve -2*i + w = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 + 0)\/((12*(-6)\/(-4))\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4169218989 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -502*l - 2450. Let d be g(-5). Calculate the greatest common factor of 1960 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 34*n - 99. Suppose -105*m + 75 = -80*m. Let w be u(m). Solve 14 - 8 = -w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 206190770.7\nAnswer: 206190775.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*x + 1 + 2, 2 = -4*x + m. Sort -6, x, -3 in ascending order.\nAnswer: -6, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-8))\/(-9)*12. Let w(g) = -23*g**2 - 23*g + 6. Let y(z) = 8*z**2 + 8*z - 2. Calculate o*w(x) + 17*y(x).\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*l - 528 = 284*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 51 + 51.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/51? (a) -268 (b) -2\/5 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b (base 16) to base 3.\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 7:02 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**11\/a*a))*a\/a**(-2\/19))\/((a*(a*a*a**(-21))\/a)\/a**(1\/38)) assuming a is positive.\nAnswer: a**(1183\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 854.4 + -854.7. Which is smaller: 34\/131 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -830 divided by 166.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/3 - 6410*v**2\/3 + 880956*v = 0.\nAnswer: 0, 486, 2719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10973853 and 127\/330?\nAnswer: 109738530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Let j be f(-3). Is 7 a factor of (2\/j)\/((-1)\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587600 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061 is divided by 340.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 65*j + 269. Give t(69).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2 = 2*i, -62*w = -14*i - 58*w + 64 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24071, -48033, -71945, -95801, -119595, -143321?\n\"Answer: x**3 + 19*x**2 - 24026*x - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:32 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9 and (0 - 78)*(872\/(-108) + 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**4 + 57 - 2*x**4 + 63 - 2*x + 3*x**2 - x**4 - 119 - x**3 as u*x + b*x**3 + m*x**4 + h + w*x**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + -3.7. Let g = 177 + -351\/2. Let d = 30 - 89\/3. Which is the nearest to g? (a) t (b) d (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(2 - 50)*1*(-12)\/62?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2862*k**2 - 162*k + 162. Let l(y) = -88*y**2 - 5*y + 5. Let v(b) = -162*l(b) + 5*t(b). Let d(h) = -12*h**2. What is d(v(x))?\nAnswer: -34992*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 109, 275, 523, 859?\n\"Answer: d**3 + 32*d**2 - 13*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/102)\/33*-6\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/5 - 812*m**4\/5 - 1634*m**3\/5 + 812*m**2\/5 + 1632*m\/5 = 0 for m.\nAnswer: -2, -1, 0, 1, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9850223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/30*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -648019\/24 - -27001. Let f(h) be the third derivative of 0*h - 19\/6*h**3 + b*h**4 + 0 + 9*h**2. What is the first derivative of f(k) wrt k?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11352)\/(-4644) + 1855\/(-63)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/14))**5 assuming o is positive.\nAnswer: o**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((106\/1749)\/((-1)\/(-12)))\/(4\/(-2))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 10. Let y be (0 + -1 + g)*10. Solve -3*z = -z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -52*l**2 - 2*l + 4. Let y(d) = -51*d**2 - 2*d + 3. Determine -4*j(k) + 5*y(k).\nAnswer: -47*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and 96.\nAnswer: -6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-96)\/135)*8804\/(-6603)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -508, -1535, -3484, -6661, -11372, -17923?\nAnswer: -26620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824*u**2 - 826*u**2 + 5*u - 10*u.\nAnswer: -2*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 562590 divided by 56259?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*v - 112 = 391*v + 3*i, 12*v = 4*i + 48 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 30. Which is the second biggest value? (a) -0.4 (b) 4\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -9*s - 9*s**3 + 30 + 25\/2*s**2 + 1\/2*s**4. List the prime factors of z(13).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*h + 112 = -0*x, 2*x = 3*h + 245. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 83*q + 2. Let s be u(0). Solve 0 = l - 5*l + 2*m, 0 = -4*l + m - s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 3:22 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 3*n + 4. Let f be u(-3). Is (-970)\/f + 6\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.599 * -326.971.\nAnswer: 195.855629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 256, 1, -7, 0, 4, -2 in descending order.\nAnswer: 256, 4, 1, 0, -2, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 662 = -2*r, -3*b - 2*b + 3271 = -3*r. Calculate the greatest common factor of b and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, z: 2, g: 1, r: 1, q: 3}. What is prob of picking 1 g, 1 z, and 1 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 12 (c) 2 (d) -2 (e) 1842\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7837 + 7836.99995917. What is a rounded to six decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -1, 5, 3, -971 in descending order.\nAnswer: 5, 3, -1, -4, -8, -971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37817545, -151270195, -340357945, -605080795, -945438745, -1361431795?\nAnswer: -1853059945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3 = -c. Let k be c*2\/6*1. Solve -2 = -h + k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -3\/7 (c) 93 (d) -5 (e) 1207\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 20. Let q = o + 5.9. Let l = -2.1 + q. Round l to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3812704?\nAnswer: 2, 7, 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34 - -36)\/((-1)\/(10\/(-4))). What is the nearest to 0.06 in -1, -0.5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 1607, 2494, 3435, 4430, 5479?\nAnswer: 6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 210\/21*(-8)\/(-1). Suppose g = 5*x - 180. Is x at least 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.0437?\nAnswer: -3.9563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/3 + 2*l. Let y(m) be the third derivative of m**5\/60 + m**3\/2 + 562*m**2 - m - 14. Give w(y(h)).\nAnswer: 2*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.3, -5, -2708, 0.39, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3615354 + 304.5.\nAnswer: -3615049.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72 and -1108356145.\nAnswer: -1108356217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by 1912623.\nAnswer: -119\/1912623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:51 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37541091761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f + 8. Suppose -5*u = -38 - 122. Suppose -f*i = -u - 16. Calculate the highest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {i: 1, e: 1, f: 1, u: 1, w: 1, p: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96135 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: How many minutes are there between 6:15 AM and 3:58 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3670*a - 11016. Give j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -417498778.2 to the nearest 100000.\nAnswer: -417500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -868 + 1223. Suppose -10*a + x = 25. Calculate the least common multiple of 9 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73231 is divided by 1078?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64951 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*l, 3*d + 2*l = 62 - 241. Suppose a + 5 = 0, i - 6*i - a = 600. Let n = d - i. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 16, -24, -2, 4 in increasing order.\nAnswer: -24, -2, 4, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2 (c) -2\/9 (d) 1.527354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129667633.\nAnswer: 129667633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/5 - (-144)\/(-180)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/6*(-15)\/(-10). Suppose -3*n + 14 = -2*x + h*x, n = -4*x + 7. Suppose 0 = 61*v - 1091 - 922. Calculate the remainder when v is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + (-2 + sqrt(325)*1 + (sqrt(325) - -2*sqrt(325)) + 0 - (4 + 2 + 1 + sqrt(325))))**2.\nAnswer: -60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (3 + (19 - (9 + 7) - (4 + -3)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 9*b**2 - 10*b - 2. Let p be g(-10). Put -4, 5, 0, p in decreasing order.\nAnswer: 5, 0, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -21. Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6348*i**2*j - 5*i*j - 5*i + 8*j wrt i.\nAnswer: -12696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1 + 3*j + 2*j - 7*j + (-1 + 1 - 2*j)*(0 - 1 + 2))*(-3 - j**2 + 3).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -85?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156912952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 24*u**2 - 5*u - 43. What is the thousands digit of a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-g**2 - g**3 + g**2) - g**3 - 2*g**3 - g**3 + 2*g**3 + g**2 - g**2 - 3*g**3 + 4 - 4 + (-g**2 - g + g)*(-3*g - 4*g + 5*g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 1, p: 1, z: 1, r: 1}. Give prob of picking 3 w and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4152 by 6.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 - 6)*(0*j**4 + 8*j**4 + 36*j**4 - j**3) to the form q*j**4 + t*j**2 + w + b*j + p*j**3 and give q.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.909 minus 6?\nAnswer: -28.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, -19 in descending order.\nAnswer: 2, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 2485 - 406 = 0. Let k = h - 179. Suppose 2*s = -8, -2*j = j - 2*s - 8. Sort -1, j, k in descending order.\nAnswer: k, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 6, 25, 62, 123, 214, 341, 510?\n\"Answer: d**3 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + 92 + 1 + 1 - 15 - -28.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -6. Let j(n) = 48510*n - 24250*n - 24252*n + n**2 + 12. Let i be j(t). What is the third smallest value in i, -0.12, -3\/5, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*h - 855*h + 153*h as l*h + c and give l.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:55 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -192*d + 3. Let w(l) = -l + 4. Calculate a(w(m)).\nAnswer: 192*m - 765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -5 - (-3 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (58\/(-145))\/((14\/(-900))\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x - 30*x + 34*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.16747656 to three dps.\nAnswer: 10.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28530 or -28529?\nAnswer: -28529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 * -0.20612\nAnswer: 0.01277944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*r**3 - 229*r**2 - 224*r**2 - 276*r**2 + 964*r**2 - 233*r**2.\nAnswer: 75*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2076427\/40 < -51911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57153178 is divided by 2870?\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 - 90*s**2 - 144*s - 736. Calculate v(-29).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a**4 + 0*a**3 + 0*a**7 + 0 - 31\/336*a**8 - 3\/10*a**5 + 0*a**6 + 0*a + 30*a**2. Find the third derivative of s(j) wrt j.\nAnswer: -1860*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 4*c**2 - 4*c. Let u = 7 - 6. Let z(v) = -v**2 + v. Let q be 4\/(-12) + (-13)\/(-3). Calculate q*z(h) + u*d(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -40. Is (u + 0)\/(3\/4083) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + z - 13, -y + 0*z = -5*z - 19. Let w = -8 - -4. Let a = 25 - 30. Put a, w, y, 0 in descending order.\nAnswer: y, 0, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-72)*8*(-145)\/5*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (3 + -1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrcrcccccc. Give prob of sequence rr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1596 + 3632. List the prime factors of g.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-2\/7)*((r\/r**(-1)*r)\/r)\/r)\/(r**(-2\/7))**(14\/5)*((r**0\/r)**32)**(2\/65) assuming r is positive.\nAnswer: r**(1151\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 193180947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -55.7 and 0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-3)\/12)*-138. Let i = -122\/3 + h. Calculate the common denominator of (-2468)\/(-336) - (-6)\/(-14) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 <= 3543\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-159527.\nAnswer: -31905.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00313904559 to five dps.\nAnswer: 0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 64 = 241. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 934049718 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6575, 36, -0.3 in descending order.\nAnswer: 6575, 36, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 465, 448, 449, 474, 529?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11140, 22275, 33410, 44545, 55680, 66815?\n\"Answer: 11135*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171 or -3\/307?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 11*q + 54. Determine u(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 12, 23, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 18*l + 16*l - 5031, 2*l + 25179 = 5*z. What are the prime factors of z?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38647.\nAnswer: 7, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5974371 from -0.211.\nAnswer: 5974370.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 6\/(-2)) + 3. Let g(i) be the second derivative of 0 - 35\/24*i**4 - 2*i**3 - i - i**j. Factor g(a).\nAnswer: -(5*a + 2)*(7*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205.\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1870 + 1875. Solve -72 = -i*a - 13*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-3)\/(-6))\/(8\/(-16)). Let d(y) be the first derivative of y**2\/2 + 32*y + 2. Let x be d(-11). Solve -q = 5*a + 6 + 17, -v*a - x = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, d: 6, w: 2}. Give prob of sequence ded.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -745)*253\/506. What is the highest common factor of n and 2914?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (70\/112 + (-9)\/24)*4\/3. Factor 2\/9*c - j*c**2 + 1\/9.\nAnswer: -(c - 1)*(3*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 780, 779, 784, 795, 812?\n\"Answer: 3*r**2 - 10*r + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56506058, 113012125, 169518198, 226024277, 282530362, 339036453, 395542550?\nAnswer: 452048653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 5. Let c(u) = -3*u - 14. Let q = 5 - -3. Let a(l) = l - 11. Let v be a(q). Determine v*c(i) + 8*r(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19982, -34056, -48130, -62204, -76278, -90352?\n\"Answer: -14074*r - 5908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -126620728 divided by 83966?\nAnswer: -1508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (12 - -3) + 6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -d + 3, -6 - 6 = -4*d + 2*c. Suppose 0 = 2*m - 5 + d. Calculate the common denominator of (m\/5)\/(84\/(-2135)) and -131\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16273 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -17)\/(-2) - -173. Factor 29*z**4 + 55*z**3 - 7*z**4 + f*z**2 - 17*z**4 + 80*z - 320.\nAnswer: 5*(z - 1)*(z + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 3*i = -26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3\/7 + 412*i**2\/7 = 0.\nAnswer: 0, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from qqhhchqc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 63\/8 of a day?\nAnswer: 11340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34982928 is divided by 1713?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11145 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**2 + 2*v + 1. Let w be u(-1). Let o = 10 + w. Put -2, 3, o in descending order.\nAnswer: o, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m + 12, -g + 3*m + 17 = 0. What is the first derivative of -10*z + 0*z + g + 6 + 7*z wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2669 - 0.0819. Let q = -1.193 - -1.2. Let a = q + t. What is a rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32903510*h**3*q - 525855*h*q + h - 6*q wrt h?\nAnswer: 197421060*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t + 18. Suppose -75 = -3*b - 0*b. Calculate the remainder when b is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 292 = -5*y + 6*y, 0 = 4*u + 12. Let k = y + -198. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1781 and 1417?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 954092588.00000001 + -954092578. Let h = -10 + d. Let t = h + 0. What is t rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-33)*((-10)\/4 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1072)\/32*-24*(-2)\/(-4). Calculate the greatest common divisor of 24 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1425 divided by 475.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:55 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:16 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 15527035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564754905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385407.\nAnswer: 3, 11, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -5047752?\nAnswer: -43\/2523876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) -1\/2 (c) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 991873.6kg?\nAnswer: 991873600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516052 is divided by 103151?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 10*j - 15. Let i be o(8). Let s be (3 - 5) + 117 + -2 + i. What is the units digit of (1*s)\/(11 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, v: 5}. What is prob of sequence vkv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-45) - (-3)\/(-5). Let k(u) = u. Suppose -2*l - 2*l + 4*r + 32 = 0, 12 = 3*l + r. Let g(s) = -l*s + 3*s - 2*s + 5*s - 1. What is t*g(w) + 2*k(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-228)\/(-24) - 11)\/((-6)\/80). Suppose a*y + 1708 = 27*y. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**3 - 23*a**3 - 1 + 5)*(-4 - 2 + 4)*(14*a - 25*a + 9*a).\nAnswer: -28*a**4 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1206 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(44\/(-52))*159 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 24986777.\nAnswer: -1\/24986777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d**2 - 2. Let y(l) = 5*l. Determine y(n(f)).\nAnswer: 85*f**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*72*(-284)\/639.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2539*x**2 - 465*x**2 - 1252*x**2 - 589*x**2 + 668*x**2)*(-x + 2*x + 0*x).\nAnswer: -4177*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42, 169, 382, 681?\n\"Answer: 43*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, -11 = -2*h + 4*o - 87. Let a be -6*(-6)\/h*0\/(-1). Solve -2*z - 3*z + n + 3 = a, 0 = z + 2*n + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*b + 18790 = 0, 0 = q - 4*q - 4*b + 11269. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 - 7*b + 19. Let r(a) = 4*a**2 + 6*a - 20. Let m(i) = -5*c(i) - 4*r(i). Determine m(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -30. Let a be (u\/(-8))\/((-6)\/(-8)). Is (918 - -3)*a\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64932677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 0*s**3 + 0*s**3 + (-1 + 5*s**3 - 5*s**3 - 7*s**3)*(1 - 2 + 2)*(-15 + 91 + 4).\nAnswer: -562*s**3 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516808 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/279)\/4*(-12)\/52*-13?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -965*u = -933*u - 944096. Calculate the greatest common factor of u and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**6\/72 + i**5\/4 + 13*i**3\/3 + 10*i. Let y(x) be the second derivative of j(x). Determine q so that y(q) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 + 34*a**2 - 37*a - 3. Calculate c(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393981 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 6*b**2 - 2*b + 4. Let m = 20 + -13. Let w be c(m). Solve w*t**5 + 2*t - t - 38*t**5 - t**3 - t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152.5 - 153. What is the third smallest value in w, -2\/5, 4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607782, -607770, -607758, -607746?\nAnswer: -607734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nknn when four letters picked without replacement from nnkknkkk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d - 3. Let b be 1\/d - (3 - (-40)\/(-12)). Suppose 5*r - 3*s = 70, 0 = 3*r + s - b*s - 56. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23708*y**3 + 23685*y**3 - 47390*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-4\/5)\/t)*t))\/t*t**3*t*t**(5\/2)*t**1\/t*t*t assuming t is positive.\nAnswer: t**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, -0.4969, 2\/257, -1, -0.4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 868, 2\/7, 0 in descending order.\nAnswer: 868, 2\/7, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 31*t = -115. Suppose 0 = 2*z + 2, 486 = -4*i + 4*z + 1254. Suppose -8*w + i = t. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/3)\/(-4))\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 + 268. Let w = -466\/35 - -68\/5. Which is the closest to 3? (a) l (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*a + 1. Let t = 8 - a. Which is smaller: 17\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -5*a**3\/21 - 29*a**2\/7 + 24*a\/7 + 391. Factor b(y).\nAnswer: -(y + 12)*(5*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744847855.\nAnswer: 5, 348969571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1325 by -1541.\nAnswer: 1325\/1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 5253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 54*l**2 - 102*l + 7. What is s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 32*c**2 + 70*c - 41. Let a be k(30). Let l = -84 + a. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -3*1\/(-3). What is the tens digit of (b\/(-10))\/(2\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 53 = 5*v + 33, 2*m = -4*v + 14. Solve 8*n + 15 = -m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 2. Let q(k) = 3*k - 257 + 132 + 125. Determine p(q(d)).\nAnswer: -18*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 288, 4, -0.3?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 14*g**2 - 262*g - 3570. Let o be j(-13). Let t(y) = 3*y - 29. Let p(w) = w - 15. Determine o*p(f) - 2*t(f).\nAnswer: -f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 22 + 46 + 12974*b + 27 + 35. Let q be d(5). What is q rounded to the nearest 1000?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27162507 or 27162508?\nAnswer: 27162507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -0.255 (c) -5951\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l - 59*l = -338173. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*j - 38. Let o(a) be the third derivative of -3*a**2 - 1\/720*a**6 + 1\/360*a**5 + 0 + 0*a + 0*a**3 + 1\/72*a**j. Factor o(v).\nAnswer: -v*(v - 2)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4 and 0 - (3 - 195\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725275 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 879, 880, 881, 882, 883, 884?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(288) - -4*sqrt(288)*-2)**2 + 2 + 2*sqrt(288) + sqrt(288) + 0 + 0 + sqrt(288).\nAnswer: 48*sqrt(2) + 14114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-10))\/((-2)\/(-12)). Find the third derivative of 7*d**s - 16*d**3 - 14*d**3 + d**2 + 5*d**3 wrt d.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597718811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 27 = -6. Let m(x) be the second derivative of 2*x - 2*x**4 + h*x**2 - 1\/2*x**3 + 0 - 3\/4*x**5. Factor m(b).\nAnswer: -3*(b + 1)**2*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9397476 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -4*y**7\/35 + 3*y**5\/10 + 22*y**2. What is the third derivative of t(v) wrt v?\nAnswer: -576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 + 1023\/5. Which is the second biggest value? (a) -0.02 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470169485 + 23100\nAnswer: -470146385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r - 105 = m, -3*r - m = 61. Let h(x) = -x + 33. What is the remainder when 439 is divided by h(r)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/5 (b) -1.737 (c) -68.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -4 - 228\/(-12)) + (-41)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 + 5*l + 8. Let c be 5\/(3\/(-4) - -1). Let k be (-32)\/(-5) - c\/50. Let u be o(k). Solve 0 = -3*s + 2*s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001307256211 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741345262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/439?\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96935, 96883, 96831?\nAnswer: 96779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 37, -174, -139 in decreasing order.\nAnswer: 37, 5, 4, -139, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 135*f + 311. Let b be m(8). Let x = b - 436. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363773?\nAnswer: 363773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5 + 6*y**4 - 9*y**3 - 24*y**2 - 12*y = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4362190 and 17170?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, o: 4, c: 3, i: 1, u: 1}. What is prob of sequence ouo?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976383810?\nAnswer: 2, 3, 5, 23, 471683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 + -1a737?\nAnswer: -1a705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s - 14. Suppose 3*d = -u - 428, -5*u + 132 = 9*d - 10*d. Let o = 148 + d. Determine m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5\/5 - 198*k**4\/5 + 38*k**3 + 118*k**2 - 192*k\/5 - 392\/5 = 0.\nAnswer: -1, 1, 2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*g + 98*g - 544 = 0. Calculate the remainder when 540 is divided by g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -151 - 47*r + 151 - 2*r - 4 + 4 - r + r - 2*r + (5 + r - 5)*(2 - 4 + 1) - 2*r + 2*r - 2*r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 20 + 9 + 1319*p - 947*p.\nAnswer: 372*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let y(x) = -4*x**2 + x - 6. Let o(n) = 6*m(n) - y(n). What is the second derivative of o(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*p = 85*p - 18. What is the third derivative of 18*d**5 - 620*d**2 - p*d**5 + 559*d**2 wrt d?\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316722 and 195.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 122*w - 127*w. Let b be (w\/(-25))\/(2\/(-5)). Let p(z) = z**3 + 5*z**2 - 2*z - 7. What is p(b)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 - 2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 138 + 332 = -45*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -548, -1833, -4328, -8435, -14556?\n\"Answer: -67*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -2*n - 2*n. Suppose -166 = -17*y - 98. Suppose -3*l = y*a - 11, -5*l + n = a + 2*a. Sort 3, 4, l.\nAnswer: 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 + -87. List the prime factors of 1\/4 - x\/(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 5:43 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2\/49 (c) -0.5 (d) 4 (e) -15 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4487 + -1.38829. Let u = 0.06 - 0. Let n = p - u. What is n rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 15 = x, -3*d - 12 = 3*x + 6. Let q be x*((-2)\/3 + 0). Suppose 0 = 3*p + 3 - 18. Put p, q, -3 in descending order.\nAnswer: p, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8694 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(72))\/(2*sqrt(96) + sqrt(6)))\/(sqrt(4)*-6*1 - sqrt(16)*-2).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r - 3. Let f(b) = 14*b + 8. Let g(c) = 3*f(c) + 8*t(c). Let x(h) = 4*h**2 + 4 - 4. Give x(g(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 8. Let f = -2 - -6. Suppose -m = f - 1. Is m greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -259679 or -14282402\/55?\nAnswer: -259679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71220.122 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*m - 218, -4*d - 8*m + 3*m + 239 = 0. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -147*w - 1. Let r(v) = 762*v + 759*v - 2257*v + 753*v. What is r(l(d))?\nAnswer: -2499*d - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 35*j - 3*z - 7 = 69*j, -5*j + 4 = 14*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212 (base 4) to base 10.\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 22 = -4*y, -5*c - 10 = -2*y - 3*c. Let k be (-2 - (-2)\/2)\/(y\/(-4323)). Differentiate t - t - 43*t**2 - 1449 + k wrt t.\nAnswer: -86*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*b + 66*b - 15*b - 15*b - 38*b + 22 in the form z + n*b and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - y = -39 + 54, 5*t = -y + 20. Let r = -0.3 - -1.9. Let q = -2 + r. Put 3, q, t in descending order.\nAnswer: t, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4910*r - 906817 - 4894*r + 906817.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 + -216.4. Let x = -5.4 - n. Let a = 0.03 + -2.03. Is x less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 5. Let a be l(5). Let g be (-4 + a - -2) + 2. Suppose 3*z = 2*h - 31, g*h = 4*h + z - 55. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 - -0.3. Let l = z - -7. Let i = -1 + l. Is i > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6491898 millilitres to litres.\nAnswer: 0.0006491898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 188*t**2 - 1276*t - 1092.\nAnswer: -4*(t + 1)*(t + 7)*(t + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - m**2 - 5*m + 89. What is the tens digit of h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 4*q - q. Let n(k) = 31 - 30 - 327*k**2 + 360*k**2. Determine w(n(r)).\nAnswer: -99*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19756 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 21\/2 (b) -5 (c) 0.4 (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*sqrt(1573)*-3 + sqrt(1573)).\nAnswer: 616*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 5 + 63 = 0. Let x(h) = -26*h + 57. Let d be x(t). Sort 4, -19, d in descending order.\nAnswer: d, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-8)\/i*i*i*i*i**(-21))**(-5\/3) assuming i is positive.\nAnswer: i**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33772, 37436, 41086, 44716, 48320?\n\"Answer: -a**3 - a**2 + 3674*a + 30100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 7:10 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 190947985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*((-3)\/5)\/(1188\/(-120)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -8 + 2\/3*m - 2\/15*m**5 + 1\/3*m**4 - 2\/3*m**2 + 0*m**3. Find o, given that k(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8184078 divided by 3?\nAnswer: -2728026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.2, 0.2, -5, 4, -249?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-180))\/((-2)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42555 is divided by 5318.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -821321804.7706 - 0.2\nAnswer: -821321804.9706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69769409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 112640?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10126 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*(-18)\/84\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104\/32 + (-2)\/8. Suppose z*h - 5*v = 165, 5*h - 2*h = -4*v + 165. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) 2.76 (c) 1016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -13 (c) -15 (d) 1\/3 (e) 4 (f) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 28. Suppose 3*l + n*a = 4*a + 3, -4*a + 20 = 4*l. Calculate the smallest common multiple of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*w**2 + 33*w - 92*w**3 + 28*w**4 - 81*w + 32*w = 0. Calculate w.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 2*b + 16 = -2*g, 58*b = -2*g + 56*b - 8 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -371*r**3 - 10*r**2 + 197*r - 11228427 with respect to r.\nAnswer: -1113*r**2 - 20*r + 197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*w**3 + 1326*w**2 - 13440*w + 2400.\nAnswer: -3*(w - 20)**2*(11*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18c48d3 (base 14) to base 9.\nAnswer: -25135405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 20582.\nAnswer: -1\/20582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (21 - (-11 + 30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*l - 1 + 1. Is l bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p + 2484 = -128*p + 2439 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636396551 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -868872 by 4.\nAnswer: -217218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38877 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22686 - 0.12686. Put m, -387, 1\/4 in decreasing order.\nAnswer: 1\/4, m, -387","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3129.6 and -4607.\nAnswer: -1477.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/83, -2.245, 41?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 9*u = -12. What is the nearest to -1 in 5, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 14*g\/5.\nAnswer: -2*g*(g + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 434713 - 104?\nAnswer: 434607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/228)\/((-5)\/(-8)))\/(85\/1275).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 1, x: 1, u: 2}. What is prob of sequence uuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a5 (base 12) in base 2?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4632031753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3584) - sqrt(3584) - sqrt(56))\/sqrt(8).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 - 2*j**2 + 5*j - 3. Let o(g) = 15*g**3 + 7*g**2 - 16*g + 9. What is 7*n(a) + 2*o(a)?\nAnswer: -5*a**3 + 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*t = -100, 7*m = 10*m - 4*t - 71. What is the remainder when m is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7567 and -1.\nAnswer: -7567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d**5\/2 - 11535*d**4\/2 + 139353*d**3\/2 - 434073*d**2\/2 + 191781*d - 38664 = 0 for d.\nAnswer: 2\/7, 1, 3, 8, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 129 - 133 = 0. Suppose -2*c = 11 - t. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 + 91 + (1 - -34) + 5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9716, 19420, 29126, 38834?\nAnswer: 48544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43560, -43561, -43562, -43563?\n\"Answer: -p - 43559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 24325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u**3 + 26 - 83 + 42 + 3*u**2 to the form l*u**3 + v*u + c + r*u**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9614 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 10*l - 6. Let i be q(9). Let n be ((-116)\/10)\/(2\/(-10)). Let h be 6\/(-27) - n\/(-18). What is the greatest common divisor of i and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -665 or -3?\nAnswer: -665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 1006 = 5086. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -138048 divided by -8?\nAnswer: 17256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7)*21\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*t - 2*t = -40, 4*a - t - 15 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080465.725 rounded to the nearest ten thousand?\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*r + 45594 = 73413 + 134088. What are the prime factors of r?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enne when four letters picked without replacement from {p: 5, n: 2, e: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.032744 * -4\nAnswer: 0.130976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*g - 1 = -2*n, -7 = -4*n - 3*g. Let v = 4 - n. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -162 and -162 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*x - 5*s = 15, 5*x + 4*s = -14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 + 2*r. Let f be b(-3). Let h = f + -12. Let m(g) = -g**3 + g + 10. Calculate m(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5)\/(-9)*(-600)\/(-250).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*v = 718*v. Let 5\/4*t**2 + 9\/4*t**3 + 3\/4*t**4 + 0 + v*t - 1\/4*t**5 = 0. Calculate t.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-3 + -3 - (-24 + 4 + (2 - 11))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 7*f**4 - 4*f**3 + 43*f - 43*f - 35 + f**3. Find the third derivative of j(t) wrt t.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1976.0612 to the nearest ten.\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 25. Solve -15 = 5*l + d*j, 4*l + j - 8 = 2*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214272*-0.3\nAnswer: -64281.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let k = -7 - -15. Suppose 0*n - k = -2*n. Solve -o*h - n = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*r + 154*r - 307*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 872240.7 millennia?\nAnswer: 87224070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4725 divided by 24.\nAnswer: -1575\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 5*i + 10. Calculate b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 4:39 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -96846 divided by -2?\nAnswer: 48423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2050 and 4775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10212691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 65 = 5*s, -2*t - 2*s = s + 4. Solve 55 - t = 8*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 533.961 seconds?\nAnswer: 0.1483225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24027660 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m**3 - 2*m**2 + 41*m + 83. Let h be x(9). Which is smaller: -8460 or h?\nAnswer: -8460","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiuqiuyiuyyviuiyiiu. Give prob of sequence vy.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 92 - 128 = 0. Suppose 0 = 2*y + 10, 0*b + 68 = 3*b - 4*y. Calculate the smallest common multiple of p and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42112142 - 1?\nAnswer: 42112141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20701992 to the nearest integer?\nAnswer: 4550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)\/f)\/f**24*f**(5\/3)\/f*f**(-8\/9) assuming f is positive.\nAnswer: f**(-917\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4\/2 - 1005*o**3 - 2019*o**2\/2 + 2013*o = 0.\nAnswer: -2, 0, 1, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4364 = -122*a - 2638 - 2580 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -3, -4, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-72 - (-31 - -2 - -18)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d - d + 0*d)*(4*d - d - 2*d) + 2 + 3*d**2 + 0 - 2*d**2.\nAnswer: 14*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 2*i + 0*i**2 - 2 + 2*i**2 + (2*i - 3 + 3)*(-2*i - 3*i + 4*i).\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-528)\/56 - -9)*3*8\/(-432).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 15 + (1 - -4) + 14 + -4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100079 + 66793. Is z\/(-77) + 2\/(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080*r**3 - 25*r**2 + 39*r**2 - 22*r**2 + 631*r**3 - 1475*r**3.\nAnswer: -1924*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -7 (c) 6\/11 (d) 6 (e) -44\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 13. Calculate the least common multiple of ((-30)\/(-15)*(-6)\/4)\/y and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/((-1887)\/34))\/((-24)\/900)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 10:05 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 20*z + 328. What is j(-17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720 a factor of 223635240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.53 - -2.47. Sort 5, 0.18, 4, r in decreasing order.\nAnswer: 5, 4, r, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - 3\/(-6)) + (-124)\/(-56) and 45\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 8 = -5*z. Sort z, -4, 2 in decreasing order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = -0*s + 5*l, s - 3*l = 4. Let k(m) = s*m - m - 1 - m. Calculate k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 23 = 3*t. Let c = 1 - t. Suppose 65 = c*d - 0*d. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 4 = -9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10192 and 31611762.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (2 + 0) - (545 + -542)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -0.4, 34, 1\/3851, -4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203423222 (base 5) in base 16?\nAnswer: 487512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from kbkjfifbbbbjfkbi?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2 - 477*o - 15984 = 0.\nAnswer: -111, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62400 - -234391. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5136799 a multiple of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 633404 = -c, 0 = -4*n - c - 0*c - 2533604. Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 3. Let g(p) = 0 + 3*p + 2*p + 4*p**2 - 3 - 3*p**2. Let d be g(-6). Suppose 2*s + d = -3. Calculate m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b - 15. Suppose -16*s - s = 68. Let g be s*(b + 5)*-1. Solve -2*c - g = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62\/6 + (-9)\/27. Suppose 5*j = n + 50, -j - 11*n + i = -15*n. What is the remainder when 226 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + (489 - (10 - 1)). What is the greatest common factor of 767 and m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j. Let c(o) be the first derivative of -o**3 - 13. Calculate c(t(b)).\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)\/(-1*sqrt(10)))\/(3*sqrt(4)*-1 + sqrt(4)) + 5)**2 - (0 + sqrt(1584) + -5 - (-4 + sqrt(1584) + sqrt(1584) + -3 - sqrt(1584)))**2.\nAnswer: 5*sqrt(11) + 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by -18\nAnswer: 79\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 2*l - l)*(2*l + 3*l - l) + (-2*l + 3*l + 2*l)*(3*l + 0*l - 6*l) - 55*l**2 + 24*l**2 + 47*l**2 to n + c*l**2 + i*l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose 0 = -a + 4*k + 1, -4*k - 15 = -c*a + k. Solve 10*p = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6 + 6 + i. Let u(m) = -11*m**2. What is u(k(o))?\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 18\/97, 0.2088, -21?\nAnswer: 0.2088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 28*v + 33. Let o be d(15). Suppose -m + 3 = -2. Let y = -35\/2 + 19. What is the third smallest value in 2\/3, y, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53\/5 - 11. Let i = 666 + -868.5. Let y = -202 - i. Put -1\/3, y, c in increasing order.\nAnswer: c, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.73 or 29.1645?\nAnswer: -9.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 128051923 to the power of 1\/3, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2320000 = 5*v - 5*z, 0 = 4*v + 4*z + 1856000. Round v to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 5115012\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4949, -10176, -15401, -20624, -25845, -31064, -36281?\n\"Answer: t**2 - 5230*t + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = -a, -21*a - 2*s + 6 = -20*a. Calculate the smallest common multiple of a and 1196.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 27. Let o be 5\/12 + 5\/l. Factor o*x**3 + 0 - 2\/3*x + 0*x**2.\nAnswer: 2*x*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 931135261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 60 = -8*t. Let u be (t\/(-24))\/((-1)\/(-6)). Let g(d) = 29 - u*d - 12 + 4*d - 14 - d**2. Calculate g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.139, 0.9, 177815 in decreasing order.\nAnswer: 177815, 0.9, -0.139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 5*c**2 + c - 5. Suppose -2*s + m = -9, -s + m + 13 = 2*s. What is f(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/(-63))\/(-2))\/18*-9\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21054 (base 11) in base 3?\nAnswer: -1120002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -24*p + 362. Let y be n(7). Solve 193*l = y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017 = -490*b + 603*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.5 - -6.4. Which is the second smallest value? (a) f (b) -2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*h + 12, -54*r + h = -52*r + 8. Let s = 21 + 0. Which is the second smallest value? (a) r (b) s (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595659110 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k + 7*w + 15 + 53 = -58*k + 2*w, 2*k + 2*w - 38 = 7*w for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38361, -76752, -115235, -153864, -192693, -231776, -271167, -310920?\nAnswer: -351089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u + 0)*(0 + 0 + u)*(5*u - u - 15*u).\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + -1 + sqrt(891) - -5*(sqrt(891)*-2 + sqrt(891))))**2.\nAnswer: 2592*sqrt(11) + 513252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let t(x) = -x**3 - 8*x**2 - x + 11. Let q be t(-8). Solve 4*z - q + 3 = k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x**2 + 8563*x + 1142 = 0. What is x?\nAnswer: -2\/15, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 13*n**2 - 10*n**2 + 151*n.\nAnswer: -2*n**2 + 151*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47785 (base 10) to base 2.\nAnswer: -1011101010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -36*v**2 - 4*v - 3. Let u be l(-3). What is the common denominator of u\/72*28\/50 and 103\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*v - 20 = 0, -v = -4*y + 47 - 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -506?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -4*k**7\/525 - 121*k**6\/300 - 73*k**5\/75 - 29*k**4\/60 + 9512*k**2. Find f, given that d(f) = 0.\nAnswer: -29, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7731, 15459, 23185, 30909?\n\"Answer: -s**2 + 7731*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52500938 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*o**3 - 1)*(34*o - 33*o + 101*o + (2 + 1 - 4)*(2*o + 2 - 2)).\nAnswer: -200*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2150.2966 rounded to one decimal place?\nAnswer: -2150.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fybb. What is prob of picking 1 y and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217.952 - -218. Which is the fourth biggest value? (a) -4 (b) y (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12027886 is divided by 429567?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8361 and 1501264.\nAnswer: 13511376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 16. Let n = z + 25. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3\/9 - 15928*a**2\/3 + 63425296*a\/3 - 252559528672\/9 = 0. What is a?\nAnswer: 3982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, t: 4, l: 2, p: 1}. What is prob of picking 4 q?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1908264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0*(d*d**(-16))\/d)**(-13\/5) assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*s = 1547*s + 751*s - 182928 for s.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19989 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s. Let x(b) = -5*b. Let o(t) = -7*g(t) + 6*x(t). Let h = -8 + 19. Let j = h - 6. Let u(q) = q. Give j*u(r) + 4*o(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (19 - -36668) + (29 - 16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 4*j**3\/3 + j**2\/2 - 2*j - 13. Let u(r) = 2 - 2*r - 4*r**2 - r**2 + r. Give -4*b(v) - 3*u(v).\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.117404l to millilitres.\nAnswer: 4117.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3014, 12050, 27110, 48194?\nAnswer: 75302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4653 + -2116. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -357727, -357692, -357657, -357622?\n\"Answer: 35*m - 357762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.22521 + -0.11521. What is the nearest to 3 in -0.2, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) 0.5 (c) 23 (d) 3\/5 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4126 or 4128?\nAnswer: 4126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -74*b**2 - 1. Let d be m(-1). Let x = 86 - d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458973167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.6 (c) -2\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 38*t - 37*t + 4, -4*t = -6*i + 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*s + 25 - 26, 3*s + 4*q - 48 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + p - 4)*(-3 + 3 + 11 + (3 - 2 - 3)*(0 + 3 - 5))*(2 - 1 + 1 + 2 - 1 + 1 + (3 - 3 - 1)*(4 - 2 - 1)) to the form f*p + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*n + 52, -13*r = -2*n - 23 - 3 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89245086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29205501959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5532421 (base 6) to base 8\nAnswer: -1034235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) 2 (d) -2 (e) 247\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996074 by 996074.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6529599190 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536844 divided by -7.\nAnswer: -76692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 48\/318719, 5?\nAnswer: 48\/318719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -725 + 735. Solve -11 + 36 = -5*i - u, u - j = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7*i - 64 = 0. Suppose -x = -3*t + 15, 0 = 5*t - 2*x - 2*x - i. Solve 2*y = -4*p + 22, t*p - 2*y + 19 = 7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 + -2045?\nAnswer: -2138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:38 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 0 + w + 8*w + 3 - 2. Let t = 5 - -1. Is j(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 47 = -5*t, -47 = 5*d - 4*t + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 18*d + 26 = 8*a, 7*a = 2*d + 4*a + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h - 2*h - 8, -4*a - 16 = 5*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 10:07 PM?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 350\/395)*(-39)\/(-9). Let p = n + 1\/158. Factor 1\/4*v**2 - p*v + 1\/4.\nAnswer: (v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/224*4)\/(-1)*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, -37, -95, -177, -283, -413, -567?\n\"Answer: -12*m**2 + 2*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4283 + 4474. Which is the smallest value? (a) 0.12 (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 3408533 - 3408533.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/154 and -47\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-147)\/5)\/((-1)\/5). Let t = b + -48. Suppose 2*i = t + 83. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40603*j = -40672*j - 552 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -26 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -9*d + v + v - 29 - 16, -5*v = -2*d - 7*v + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*s - 21 = 0, 3*r + 2*s - 11 + 0 = 0. Let q be (1 - (-1 - -3))*-16. Suppose 0 = 3*i + 2*n - 19, -2*i + n + q = r. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.092 + 0.092. Let z = -1.12 - -0.62. What is the nearest to 0 in g, 3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 1\/6*y**3 + y**2 + 2*y - 1\/20*y**5 - 1\/6*y**4 + 0. Factor p(b).\nAnswer: -(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*t + 7*t. Suppose -l = -2*s - 2 + 4, -4*s - l + t = 0. Solve -s*m - 3 = -3*m + h, 5*m + 3*h + 25 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48894 by -4.\nAnswer: 24447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26923, -26931, -26933, -26929, -26919?\n\"Answer: 3*w**2 - 17*w - 26909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.62728 + -1.37272. Let f = -39 + 235\/6. Which is the second biggest value? (a) -3 (b) f (c) x (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36374?\nAnswer: 2, 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1) + (-2 - (2 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 5\/3, 1, 4\/7, 4, -105401?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -223115, -446256, -669395, -892532, -1115667, -1338800?\n\"Answer: j**2 - 223144*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 3, -0.5, 0.6, -3\/4, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2844 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, n: 2, j: 1, v: 2, f: 3}. What is prob of picking 2 f, 1 v, and 1 n?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6156.402 days?\nAnswer: 8865218.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 - 11?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115495792?\nAnswer: 2, 1381, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31231 + -31231.4. Let b = -0.412 - -0.4. Sort b, o, 3\/5 in increasing order.\nAnswer: o, b, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let m(a) = 29247*a - 29247*a - 956*a**2. What is t(m(d))?\nAnswer: -956*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwq when three letters picked without replacement from {q: 3, w: 1, z: 1, g: 3, y: 2, k: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6982 (base 16) to base 15\nAnswer: -800a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*d + 44, -5*n + 11 = -d + 3. What is the remainder when 46 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1\/27 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527, -1953, -4305, -7571, -11739, -16797?\nAnswer: -22733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -673, 0.\nAnswer: -673, -45, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 4427*v. Let x(w) = -4*w**2. Calculate f(x(b)).\nAnswer: 32*b**4 - 17708*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90881.\nAnswer: 7, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6816 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 3*i - 29, 4*p - 6121*i + 6140*i - 163 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/3*(-3)\/(-2). Let p(d) = 12 - 12 + z*d. Let q(n) = 2*n. Let r(l) = -4*l. Let c(t) = -5*q(t) - 2*r(t). What is p(c(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 12*d**2 - 2 + 23.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4 - (58 - 6). Suppose 5*r = -5*s + s - 18, -2 = 3*s - 2*r. Let c be x\/(-5) - s\/10. Calculate the highest common factor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5*v, -38*v = -j - 36*v + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.09 - 2.203. Let q = r + 0.643. Let y = -0.551 + q. Round y to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3346.75 and -2.\nAnswer: -6693.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 4 = 0. Suppose 2*c + 2*n - n = 0, -t*n = 2*c - 2. Let g = c - -14. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 62*x**2. Let k(y) = 4*y**2. Give i(k(s)).\nAnswer: 992*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0547696 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40547029031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + 7 + -3 + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -528*p**4 - 11*p**5 + 11*p + 528*p**4 wrt p.\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 20712*c**2 + 41421*c - 20710.\nAnswer: (c - 20710)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 44*c + 121. Let p be g(19). Let o be -7340000 + 6 + (1 - p). What is o rounded to the nearest 100000?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.8687 + 234316.\nAnswer: 234309.1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, -2, 2, 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -46. Suppose -3*h + 36 = b*k, k - 6 = -4*h + 3. Solve -14*z + k*z + 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(11) - sqrt(22)\/sqrt(8))*-3)**2.\nAnswer: 91\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40715?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3 - (-5)\/60*-15.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 402 + 75*g**2 - 402 + (-1 - 2*g + 1)*(g - 2*g + 3*g) + 3*g**2 - 4*g**2 - g**2 - g**2 + g**2 - 2*g**2.\nAnswer: 67*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0117? (a) -1 (b) 0.02 (c) -43 (d) 4\/5 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 122*i**2 + 2. Let f be k(-4). Let w = f - 1271. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**7\/168 - 7*g**4\/24 + 7*g**3\/6 - 9*g. Let a(w) be the second derivative of s(w). What is the derivative of a(b) wrt b?\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8bfb + -17?\nAnswer: 8be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1604 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 53 + 7. Suppose 2*i = v*y + 892 + 134, 5*y = 15. What are the prime factors of i?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/((20\/140)\/(12\/(-21)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/4)\/(1\/(-4)). Suppose 3 = y + 1, i*l = -2*y + 309. Calculate the remainder when l is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-3))\/(8\/(-12)). Let c(q) be the third derivative of -1\/120*q**6 + 1\/12*q**5 + 0 + 0*q - 2*q**2 - 2\/3*q**3 + 0*q**4. Calculate c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 215 + 141)*(7*l + 0*l + l).\nAnswer: -168*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -1 - (62 - 74).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 42 = -62 - 28. Sort 1, i, -20, 14 in increasing order.\nAnswer: -20, i, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100431 + 301217 + 6*k**3 + 0*k**3 - 100393 + 6*k**3 - 100393.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f + 83. Let w be g(-20). Let v = 19 + w. What is u in 18\/11*u**2 + 0 + 4\/11*u - v*u**3 = 0?\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 918*f = -935*f + 76, -r + 10 = 2*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*d + 20, 3*d = 2*t + 2*t - 23. Let h(z) be the third derivative of 1\/6*z**3 + 5\/24*z**4 + 0 - 4*z**2 + 0*z. What is h(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p - 16. Let f(b) be the first derivative of b**3 - 2*b - 5\/2*b**2 + 1\/4*b**4 + 20. Determine f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2489369 and 2923.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13540 at most as big as 13540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o**5\/5 + 1666*o**4\/5 - 7634*o**3\/5 - 546*o**2 = 0 for o.\nAnswer: -1\/3, 0, 5, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -188 from 16191.84218.\nAnswer: 16379.84218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5 (c) 243 (d) -1 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1659465678689 and 3.\nAnswer: 1659465678692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26429 = -514*s + 495*s. What is the remainder when s is divided by 694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 159\/7*d - 156\/7*d**2 + 3\/7*d**3.\nAnswer: 3*d*(d - 53)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 2*i**2 + 36806 - i**2.\nAnswer: 2*i**2 + 36806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 7*m**2 + 7*m - 4. Let r be w(6). Let d be (6\/(-5) + 2)\/(5\/25). Suppose 3*t + 4 = d. Solve 5*n - 4 = -2*q + 10, t = n + r*q - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1544\/7 - 221. Let o be (4\/8)\/(2\/12). What is the closest to 1\/6 in 4, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.66392 decades to centuries.\nAnswer: 0.566392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325212981 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -85049+1018.878\nAnswer: -84030.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 19, -2\/13, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Let o be ((-2)\/1)\/((-9)\/9). Suppose a = o + w. Round a to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukkl when four letters picked without replacement from {u: 4, v: 6, k: 2, l: 6}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*o**3*s**3 - o**3*s + 7*o**3 + 2*o**2*s**2 - 48*o*s**3 - 361*o*s**2 - 2*s**3 wrt s.\nAnswer: 42*o**3 - 288*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02778362 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 30 - 27 = 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131186637 rounded to four dps?\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.54 and 33840212371.\nAnswer: 33840212375.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = b + 2. Suppose 8*z - 681 = b*z. What are the prime factors of z?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + 3*sqrt(13))**2*-1 - (-3 + -2 + (sqrt(832) - (sqrt(832) + -1 + sqrt(832))))**2.\nAnswer: -1001 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1854.9 + -1855. Let s = 0.6 + -0.1. Let a = 1.5 + s. What is the closest to 0 in c, -3\/7, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyi when three letters picked without replacement from yfvyyvyi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*j + 8, -4*h + 5*h - 3*j = 14. Let u(w) = -w**3 + 3*w**2 - 2. Let n be u(h). Put n, -3, -2 in decreasing order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**1\/t*t))**18*(t*(t*t**(-1\/2)*t*t)\/t)**21)\/((t**0\/t)**36\/((t*t**(-1\/9))\/(t*t**(1\/12)*t))) assuming t is positive.\nAnswer: t**(3143\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 + -1.1. Which is the third biggest value? (a) y (b) -0.08 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 446.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.354 + 0.354. Put -2, l, 0.1, -0.2, -22 in increasing order.\nAnswer: -22, l, -2, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -23, -2.6, 0.6, 4, -0.52?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*h - h. Let m(r) = r + 5. Let s be m(-3). Suppose 0 = 3*i + s*i - 50. Calculate the least common multiple of h and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233113 + 0?\nAnswer: 233113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1152.\nAnswer: 1\/1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/3 + 7*d**2\/2 + 6*d - 1. Suppose -2*o = -35 + 11. Suppose -3*a - o = -0. Give s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 680 = 2*k. Let r be 4*(k\/119)\/((-16)\/(-14)). Is (3 - -2)\/(r\/295) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7, -642, -4, -232\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3412, -3418, -3424?\nAnswer: -3430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115160799341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949901 is divided by 3368?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23906?\nAnswer: 2, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-36)))\/o)\/(o\/(o*(o*o\/(o*o*o\/(o*o**(-2\/21)))*o)\/o)) assuming o is positive.\nAnswer: o**(754\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 6*l - 574 = 0. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.03. Put v, -2, 0.4 in ascending order.\nAnswer: -2, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - 1 + 8*p + 4*p)*(195 - 811 - 173 - 316).\nAnswer: -1105*p + 1105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 241?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:29 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 346*o - 350*o + 12. Let m(q) = -4*q - 5 - q + 53*q**2 - q**o - 26*q**2 - 19*q**2 + 1. Suppose -15 = -2*d - j, -d - 5*j + 4 + 8 = 0. Determine m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 2*s - 2*s + (-s**4 + 3*s**4 + 0*s**4)*(2 - 1 + 3).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*g = -57, 2*g - 2 = -4. Solve -3*i + k + 11 = -3*k, 2*i = 5*k + c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86610.87 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/1)\/((546\/(-189))\/(-13)))\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {a: 1, x: 1, z: 4, j: 5, m: 5, l: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 10. Let a(t) = -3*t - 11. Let b(c) = 3*a(c) + 4*f(c). Let q be b(7). Solve 0 = -q*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 14d?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1587113 and 2308528?\nAnswer: 25393808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1984 - 53?\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 975500729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 5*u = -7*l - 5, 4*l + 3*u - 5 = 0. Let g(a) be the first derivative of 0*a**l - 2\/3*a**3 - 32 - 21*a. Let n(w) = -w**2. Give n(g(j)).\nAnswer: -4*j**4 - 84*j**2 - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2. Let x(s) = 121*s + 22. Let y(t) be the second derivative of -9*t**3\/2 - 5*t**2\/2 + 10*t + 1. Let r(g) = 5*x(g) + 22*y(g). Calculate f(r(l)).\nAnswer: 242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 2*j**4 - 3*j**3 + 0*j**4 + 3*j**4 - 2*j**4 + (1 + 0 + 0)*(2*j**4 - 4*j**4 + 0*j**4).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4*v + 24, -4*b - 3364 + 3337 = 5*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21377a - 2?\nAnswer: -21377c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2 + (-80)\/((-5120)\/(-96))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 18*d + 4. Calculate the common denominator of d\/18 + (-6685)\/1386 and -87\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.3787 tonnes in kilograms?\nAnswer: 61378.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.11152 and 411.\nAnswer: 410.88848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128310638 to the power of 1\/3, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 30710 - 68338 = -344927. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b - 8. Let f be s(2). What is the units digit of ((-20)\/f + 0)*130\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*v*z + 19*a**2*z**3 + 3*a**2*z**2 - 1639*a*v*z**3 + a*z - v*z**3 wrt a?\nAnswer: -2*v*z + 38*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 19 = 3*n, -22 = 3*n + 2*w - 5. Let v = -7 - n. What is the common denominator of v + (27\/24)\/1 and 37\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -6*f - 3. Suppose 4*q = -f + 4. Solve q = 6*s - 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 0.03, -4.2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -9901739\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**2. Let p be (7 + 5 + -6)\/(2\/5). Let l be (10\/p)\/(1\/15). Let r(k) = 12*k + l*k - 24*k. What is r(z(j))?\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 + 2*x + 1. Let g be v(-1). Is 28*16 + g + 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 n when four letters picked without replacement from wnnnwnsbnnnnnnnnsns.\nAnswer: 143\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7188 - 7198. Is u at most as big as 0.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/29? (a) -1\/4 (b) 3428 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 18*h + 640 = 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1))**(-8\/5)\/((t*t**(-3\/2))\/((t\/(t**(-6)*t))\/t)))\/((t\/(t*(t*t**0\/t)\/t*t))\/t**2)**(3\/31) assuming t is positive.\nAnswer: t**(353\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + -2 + ((-5 + 1*sqrt(300))**2 - (-4 + sqrt(300)*2)))*-1.\nAnswer: -360*sqrt(3) + 966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-24)\/(-6))*11*6804\/891.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -6 - ((-4 - -10) + 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/6 (b) -0.5 (c) 3 (d) 0 (e) -68.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.17 + 6. Let m = -1354.7 + 1355. What is the smallest value in q, m, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 3*u - 90. Let b = 16 - u. Solve -5*g - 2*g - b = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38*(0 - 9\/6). Let q be (-2)\/(-2) + (x - -2). Let s be (2\/3)\/((-1)\/q). What is the greatest common divisor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 404.041 to the nearest integer.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9544263611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*v + 29*v + 4 - 16*v)*(-17*v + 21*v + 9*v).\nAnswer: -13*v**2 + 52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 282\/6 + (-2 - -3 - -5). Let v = z - -1342. What are the prime factors of v?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:18 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -59?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/w**16)\/w))**(2\/77)\/(w\/(w**23\/w))**(-5\/9))**(-38) assuming w is positive.\nAnswer: w**(98762\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*v + 310*v + 27488 = -67*v - 94228 for v.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 divided by -291.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324681.4 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.4 in -4, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11259*f*g**3*j**3 - 40*f*g**3 - 386*f*g*j + 2*f*j**3 - 2*f*j**2 - 2*f - g**2 + 3*g*j**3 + 2*g wrt j?\nAnswer: -67554*f*g**3 + 12*f + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2638425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**5\/4 - 1371*n**4\/4 - 1545*n**3\/4 + 78315*n**2\/4 + 771*n\/2 - 19236 = 0?\nAnswer: -8, -1, 1, 7, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscc when four letters picked without replacement from {c: 3, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140192 is divided by 27885?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 3707*j**7\/210 + 164*j**3\/3 + 23*j**2 - 41*j. Differentiate l(d) wrt d.\nAnswer: 14828*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420933.\nAnswer: 1420933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i + 5 + 107 - i**2 - 132. Determine v(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10377 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/24605 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 918 + 927 = 0. Let a be ((-2)\/k)\/(-11 + 485\/45). Solve 3*m + 5 = a*n - 22, 2*n = -4*m - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 103, -0.5, 3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23586292.\nAnswer: 2, 47, 109, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 367820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 17*z + z)*(3*z - 2*z**2 - 3*z) + 4*z**2 - 7*z**2 - 2*z**3 - 8*z**2.\nAnswer: 24*z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-3)\/((-39)\/32). Let r = 112\/39 + s. Determine z so that 14\/3*z**2 + 4\/3*z + 0 + r*z**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*m - 0*m + 15, 0 = -5*n + 2*m + 25. Suppose 0 = 4*k + 4*q + 1 - 57, -5*k + n*q + 50 = 0. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w - 25340 = 56*w + 4*l, 15206 = 3*w - 2*l. Is w a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603552.51 minus 8?\nAnswer: -603560.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13273 (b) 5 (c) 2279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -16 + 61. Put -6, -2, -1, o in descending order.\nAnswer: -1, -2, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 - 2)*(-1 + 4 - 2)*(3*o + 3*o - o).\nAnswer: -65*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9403669 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3578023812 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1449*r + 3 = 1454*r, -3*u + 4*r - 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and -579133?\nAnswer: 579144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -16*l**2 + l. Let i be (4\/(-10) - 0)\/((-6)\/(-15)). Give j(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, 4, 25, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*x - 5*p, 10115*p - 10113*p = -3*x - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35.5 and 12?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 24*v**2. Let m(a) = 82541628*a. Give b(m(g)).\nAnswer: 163514888469369216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4873260*c**3 + c**2 - 6343992 with respect to c.\nAnswer: 14619780*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -14 + (4 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -49. Suppose 0 = 3*f + v, -5*g - f = f + 31. Let r be 4\/(-12) - g\/(-2). Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l = 442. What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56565 less than or equal to -1074742\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 + 28. List the prime factors of i.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - 3*q**3 + 3*q**3 + (0*q**3 + 0*q**3 - q**3)*(-2*q**2 + 0 + 0) + q**5 + 0*q**5 - 4825*q**4 + 4833*q**4.\nAnswer: 4*q**5 + 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70.1 + 70. Let i = 407 + -374.7. Let s = 31 - i. Which is bigger: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 790.3685 minutes?\nAnswer: 47422110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*g - 1350*g**3 - 540*g**2 - 16\/5.\nAnswer: -2*(15*g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -689*g**3*w**2 - 29*g**3 + g**2*w**2 + 2265*w**2 wrt g?\nAnswer: -4134*w**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 41*b + 10927 = 0. Let u = b + 226. Solve 0 = -2*g - 3*j, -g - 2 = u*j - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2259 times -4?\nAnswer: 9036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903814766?\nAnswer: 2, 97, 709, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 - 7*c. Let k be s(6). Let l(z) = -z + 11. Let x(d) = -6*d + 56. Let r(t) = 16*l(t) - 3*x(t). Calculate r(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x + 1. Let i(s) = -5*s**2 - 2*s + 1. Suppose -o = -3*o - 12. Let q(f) = o*w(f) - i(f). Determine q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1787382 or 1787389?\nAnswer: 1787382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7898, 338, 1, 4, -4 in descending order.\nAnswer: 7898, 338, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n + 0*n)*(652*n + 168*n + 589*n - n + 3*n + n + n + 0*n - 3*n + (3 - 4 + 0)*(-4 + 2*n + 4) + 5*n + 2*n - 5*n + 2*n + 2 - 2 + n + n - n).\nAnswer: 2826*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgggggcgg. What is prob of sequence ggcg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -j + 23. Let f be (4\/(-6))\/((-1)\/3). Let y(u) = u - 3. Let d(b) = 34 - 12 - 4*b - 12. Calculate f*d(a) + j*y(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -159 (b) -97 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 4, t: 4, p: 3, n: 7}. What is prob of picking 1 n and 1 f?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 966 + -30907\/32. Calculate the common denominator of d and -15\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3859 (base 10) to base 15\nAnswer: -1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.33 and 14?\nAnswer: -32.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*m - 17, -4*u = 5*m - 8*m + 1. Suppose 8*q + 9550 = m*q - 2*r, -5*q + 3*r = 9550. Round q to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*c**2*t**5 + 112*c**2*t**4 + 3*c**2*t - 2*c**2 + 700*c*t + 2*c wrt t.\nAnswer: 980*c**2*t**3 + 1344*c**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/7, 1\/4, 0.3, -13.1 in increasing order.\nAnswer: -13.1, -2\/7, -1\/7, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 21 = t. Suppose -3*v - 5*j + 26 = -t, -69 = -3*v - 3*j. Is 4\/v + (-916)\/(-44) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 8. Let y be h(-8). Let u = 44 - 37. Suppose y = -3*i + 52 - u. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5196?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78225 and 6069.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*n - 53*n - 65*n = -660 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/8 + 1528\/64. Solve 13*z + q = 21*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = -146*v + 110*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -47*x + 205. What is y(0)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 1}. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76038253?\nAnswer: 23, 3306011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 17*u - 9. Let a = -37 + 26. Is m(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -35*d + 105. Let u be h(3). Let p(r) be the second derivative of u + 1\/20*r**5 + 1\/60*r**6 - 1\/6*r**3 - 1\/4*r**2 + r + 0*r**4. Factor p(g).\nAnswer: (g - 1)*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*y - 23, c + 0*y = y + 1. Suppose -6 = -c*g - 3*h, 11 = 6*g - 5*g + 4*h. Let m be 12\/(-2)*(-1)\/1. Sort m, g, -2 in increasing order.\nAnswer: -2, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifid when four letters picked without replacement from dfddiiid?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 20)\/(9\/6). Let z = -13 + s. Solve -u - z - 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 188.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 8 = 10. Let i be (-5 + n + 2)\/((-1)\/5). Solve -21 - 4 = -i*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*p - 8 = p, 5*z + 2*p - 10 = 0. Let b be z\/4 + (-1500)\/(-24). Differentiate -53 - 3*t**2 + 4*t**2 - t + b wrt t.\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-633.36285.\nAnswer: -63.336285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/73992 and 5\/6.\nAnswer: 73992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -15*y**2\/2 + 1. Let p(w) be the second derivative of 0*w**2 + 1\/3*w**3 - 5 + 3*w. Determine p(d(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48489 is divided by 373.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.5, -0.4, -1\/20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 7*t + 4. Suppose -5*u + 25 = 3*n, 3*u - 28 = -t*n + 20. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.05063, -15, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 - 0 - (0 - -2). Suppose 5*u = -4*n + 2 + 105, 5*u - 41 = -2*n. Let t = -32 + n. What is the highest common factor of z and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 + 155. Suppose -n*y + 9*y = 10, -y + 490 = 5*h. What is the remainder when h is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114324 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i - 17 = -43*i. Let u = 3 + -3. Solve -i = -u*w + w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 549\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3\/22 (c) -1.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -366132774 - 0?\nAnswer: -366132774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l + 70*l = -39. Calculate the remainder when 345 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*i = 65, -5*w - 5*i = -231 - 64. Suppose 0 = -3*q + 2*t + 440, 59*t - 736 = -5*q + w*t. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -128*s. Let g(q) be the first derivative of 11*q**3\/3 - 914. What is g(d(n))?\nAnswer: 180224*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 6 + 2*p**2 - 6)*(p - 2*p - p)*(4*p + 2*p - 4*p).\nAnswer: -8*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7233, -7236, -7249, -7278, -7329, -7408, -7521?\nAnswer: -7674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by ((-16)\/(-20))\/(((-16)\/(-250))\/4 - 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2. Let t = 13 + -8. Let i(d) = t*d**2 - d**2 - 2*d**2 - 1 - 3*d**2. Let n(s) = 5*s**2 + 6. Let l(z) = 6*i(z) + n(z). Calculate l(r(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7411922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 14*k + k)*(5 + 2*k - 5)*(-k + 0*k - k) to q*k + w*k**2 + a + v*k**3 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159448 by 350.\nAnswer: -79724\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 780640.\nAnswer: 780636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(8)\/sqrt(2)) - (-2 + sqrt(176)).\nAnswer: -3*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5671*n**4 + 429*n + 4 wrt n?\nAnswer: -68052*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 655 by -131.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4\/11 + 46*s**3\/11 - 138*s**2\/11 + 32*s\/11 + 56\/11 = 0.\nAnswer: -14, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 1. Let h = -1 - x. Solve d = -h*j + 26, -d + 0*j - 19 = -4*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + b - 2331, 0 = -3*n - 2*b + 6995. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 + 250. Let i = 0.22 - -0.08. Let t be 1\/2 + (-1)\/(-22). Sort i, f, t in decreasing order.\nAnswer: f, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497579?\nAnswer: 497579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 308580274 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19429692 and 51812512.\nAnswer: 155437536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 99*p**2 - 5834*p - 388. Determine c(59).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214245127?\nAnswer: 29, 71, 104053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227261 by 3.\nAnswer: 227261\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55866.\nAnswer: 2, 3, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 5017*q - 2 + 35*q**3 - 10040*q + 5023*q to the form s*q**3 + d*q + l + o*q**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 225\/30*27440\/6. What is s rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 6) to base 15\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 346 (b) 0.1 (c) 3\/2 (d) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000134879 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17411623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 1 - 6 + 6*f)*(-9*f**2 - 6*f**2 + 8*f**2 + (0*f - f**2 + 0*f)*(3 + 1 - 2)) to the form g*f**2 + s + h*f + n*f**3 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j**2 - 19*j**2 + 55*j**2 - 12 - 21*j**2 to the form p + w*j**2 + b*j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k + 18. Suppose 5*f + 101 = 46. Let h be t(f). Let o be (26 - 0)*(-2)\/(-4). What is the highest common factor of o and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1, -2\/11, 5\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c - 1. Let f be m(2). Let g(d) = 1657*d**2. Is g(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecfov. Give prob of sequence ooec.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13*(-2)\/(-2))\/((-7)\/77)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 3. Let z be w(5). Let q(a) = 104*a + 627. Let g be q(-6). Solve -g*y = -z*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9905 and -1325?\nAnswer: 13124125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*y = x + 4, -5*x + 29 = y. Let o(b) = -b**2 + 7*b + 11. Let h be o(8). Solve -h*k = 2*k + x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1795228999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 356\/445*(-1)\/12?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37*4\/10*(-10 - (-18 + 13))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*a**3*m**2 + a**3*m + 721*a**2*m - 293100*a*m**3 + 15034*m wrt m.\nAnswer: -290*a**3 - 1758600*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 491656, 983253, 1474806, 1966315, 2457780, 2949201, 3440578?\n\"Answer: -22*h**2 + 491663*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*y - 2*y + 208 = 0, -2 = -y. Suppose 4*r + g = 3*k, -2*k + r = -4*r - 76. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -f - 3*d, -2*f - 3*d = d - 260. Suppose 2*u + f = 2*b, 0 = -b - 2*b + u + 188. Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 2 - 20 + 7*r**2 - 22 - 20.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0*k + k = -6, p + 12299*k - 12305*k = 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -569762\/1015947 - -88\/157. Let k = -381773\/51768 + x. Find the common denominator of -55\/3 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15169404.\nAnswer: 2, 3, 547, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)*a)\/(a**(-7)*a))\/((a**(-3\/10)*a)\/(a**7*a)) assuming a is positive.\nAnswer: a**(103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 13. Let p be 2 + 1 + -1 + 2. Let m(j) = 6*j - 27. Let r(h) = p*m(h) - 9*a(h). Is 15 a factor of r(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/13)\/p**(-2\/5)*p**(-2\/59)*p*p\/(p\/(p\/p**(-1\/27)))*p assuming p is positive.\nAnswer: p**(336448\/103545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Suppose -2*r + 13 = 5. Suppose 0 = -n - 2*n - 9, -8 = -r*a - 4*n. Let z(h) = -6*h + 2. Give a*y(x) - z(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001055 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -0*r, -r + 21 = -2*n. Calculate the remainder when 25 is divided by (3*n\/(-30))\/(1\/17).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2595 - 637 + 985)*(-f - 3*f + 2*f + (2 - 1 - 2)*(3*f - 4*f + 3*f) - f + 4*f - 5*f)*(-4*f + 5*f + 2*f)*(-1 - 2 + 5).\nAnswer: -105948*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169 - -218. Suppose m*z = 40*z + 45. Which is the biggest value? (a) z (b) -4 (c) 0 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -445.66 - 0.3.\nAnswer: -445.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/155 and 73\/310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003159 rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 661, 729, 751, 703, 561?\n\"Answer: -4*m**3 + m**2 + 93*m + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-150)\/(-510)*17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 6)*(120*y - 200*y + 2 + 113*y) in the form a*y + n and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3 + (4 - 3 - 2)*(-3 - 1 + 3 + (3 - 5 + 1)*(3 - 5 + 3) + 2 - 2 - 2))*(-84*f**2 - 1701 + 1701)*(-3 - 3 - 5).\nAnswer: 1848*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2617512 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4 + 2673*y**3 - 1104114*y**2 - 1067592960*y - 1066486176 = 0. What is y?\nAnswer: -756, -1, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000341287352 to six decimal places.\nAnswer: 0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112)*2 - (-1 + (sqrt(112) + -1 - sqrt(112))) - -1*sqrt(112)*2*-6)**2.\nAnswer: -256*sqrt(7) + 28676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:41 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 2. Let d(a) = a. Suppose 7*q = q - 16*q + 22. What is q*b(s) + 3*d(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 74056 = 3*h, -35*h + 30*h + 25 = 0. Let y = l + -163241. What is y rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -314320?\nAnswer: 314311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Let h be d + 1\/(-4)*3. Let k = -4.3 - -4. Which is the nearest to -1? (a) -2 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k + 20 - 20)*(5*k**3 - 1 + 11*k - 11*k) + (3*k**2 + 3 - 3)*(-3*k + 20 - 20)*(0 - 1 + 3)*(k + k - k).\nAnswer: 37*k**4 - 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 + 7*a + 2*a**2 - 2 - 4 - 17*a. Let j be p(-4). Solve 5 = j*f + 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 0 - 1 + 0*i**2. Let r(z) = -2*z - 13. Let w be r(-6). Calculate j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 + 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 8, n: 6}. Give prob of picking 2 p and 1 s.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -55*h**8\/48 - h**6\/120 - 193*h**5\/6 - 127*h**2 + 3. Find the third derivative of z(p) wrt p.\nAnswer: -23100*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61505107 and 1?\nAnswer: 61505108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from yffamaimmifafa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 52 = 4*d + 16, 4*d + 3*h - 8 = 0. Suppose -8*i + d*i + 12 = 0. Determine o so that -4\/9*o + 0*o**2 + 2\/9 - 2\/9*o**i + 4\/9*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y**3 + 11*y**3 - 2*y - 1 + 10*y**3 + 3*y**2. Let j(m) = -4*m - 1 - m + 4*m. Let v be j(2). What is l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 175005 = -4*p, -5*c = -65*p + 68*p + 131255. Round p to the nearest one hundred.\nAnswer: -43800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let a(o) = -380*o**2. Calculate a(k(u)).\nAnswer: -1520*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.1, 2.1, -3?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 9*q - 12. Let z be p(13). Suppose 4*s - 645 + 405 = 0. Calculate the highest common divisor of z and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 3*l - 1. Suppose -16 + 26 - 14 = -2*h. Let i(f) = 16*f**2 + 15*f - 5. Give h*i(w) - 11*u(w).\nAnswer: -w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-139)\/(-9) + -16)*(-3)\/25.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((4*(1*sqrt(228) + sqrt(228)) - sqrt(228)) + sqrt(228))*-6)\/(4*(sqrt(144) - (sqrt(144) - 3*sqrt(144))*-3)\/sqrt(12)).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 10. Let h = -0.1897 + 161.2897. Let m = 161 - h. What is the nearest to -2\/9 in q, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/60*1\/(-12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-64440.\nAnswer: 19332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180 and -4.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 256\/44 + 2 + -4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 - 3*u - 5. Let c be d(5). Let z = -13 - c. Let v(o) = 4*o - 8*o + z*o. Let j(k) = -2*k. What is v(j(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**4 + 162 + 3*l**3 + 3*l**5 - 162 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 7:34 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 165*q. Let x be k(6). Suppose 4*p - x = -p. Suppose 4*o = o + p. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3079*s = 3064*s + 60. Let a = 1 + -4. Is ((-3)\/4)\/a - (-4915)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.184464*-12\nAnswer: -2.213568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzbnbmnnnzrzmnb. Give prob of sequence nb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -103*d. Let s(o) = -44*o**2. What is b(s(a))?\nAnswer: 4532*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c**2 - c**2 + 6*c**3 + 4*c**3 - 9*c**3 as y + u*c + q*c**3 + d*c**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**4*r + 209*h**4 + 7906*h**3*r**3 + 2*h**2*r**2 + 2*h**2*r - 12*h*r**2 + h*r - 8740*r**3 wrt h.\nAnswer: -144*h*r + 5016*h + 47436*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - (-7 + 66)) + (-6 - -1) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8726.538 days?\nAnswer: 753972883200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/20338890 and 103\/16271112?\nAnswer: 81355560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 4) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311, 2605, 3893, 5175, 6451, 7721, 8985?\nAnswer: 10243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -601, -5, 894, -6 in increasing order.\nAnswer: -601, -6, -5, 894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4172 and 3547432.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 36. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 1207 + 1817. Let d be 21\/x + (-1)\/(-3). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1078904748 by 1.\nAnswer: 1078904748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/66 - (5401\/(-3) + -1). Suppose 5*d - d + q = -j, -4*d = 3*q + 1803. Let l = d + 1073. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*c + 4, -2*p = -2*c - c - 19. Suppose s - 2*o = 2*o - 7, -p*o = -20. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354140 is divided by 2785?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Let t = 2 - i. Let y(g) be the second derivative of g**3\/3 + g**2\/2 - g. What is y(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 3. Suppose 3*x = 2*r + 8 - 0, -2*r + 4 = -x. Suppose -15 = x*y - 21. What is the smallest common multiple of i(-5) and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - -2) - (21 + -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + 75*s + 273. Let h be f(-4). Solve -h = 35*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 498 - -12?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1824*o - 57. Let l(w) = w + 1. Let u(q) = 57*l(q) + n(q). Let p(f) = -17*f. What is 209*p(c) - 2*u(c)?\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/195)\/((-1)\/10). Suppose -80 = -6*h + h. Solve w*d + h = 6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 293151 (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.05 (b) -2 (c) 10\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*c + 48787 + 17069 = -99064. Suppose 2*m - 3*m = -3. Suppose -c = -m*q - 13. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 6*v = -5*o + 24, -2*v = o - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697569719?\nAnswer: 7, 11, 31, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32 - a1c?\nAnswer: -9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-8)\/(-5))\/(1012\/25300). Solve 4783 - 4803 = d*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 - 160*k**2 - 665*k + 10830 = 0.\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sscxxscgpspxgx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from tzgdndw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11154.5 rounded to the nearest 10?\nAnswer: -11150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -61. Let n = z - 33.6. Is n greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 614*h**5 + 705*h**4 - 3143284*h**2 + 2*h + 1?\nAnswer: 36840*h**2 + 16920*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -147\/310?\nAnswer: -147\/310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*h**3*k**3 + 74*a*h*k**3 + 15887*h**3*k**3 - 111*h**3*k - 7*h**2*k**2 + 2*h**2 + 65*h*k**3 - 2*k**3 wrt h.\nAnswer: 12*a*k**3 + 95322*k**3 - 666*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2398 less than 10.902?\nAnswer: 11.1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 11:37 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 23*s**2 - 9*s - 20. Is y(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Suppose 0 = -4*s + f*q + 29, 0*s + 3*q = -s - 4. Which is greater: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*c = -78*c - 6. Sort -6, -1, c.\nAnswer: -6, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x + 3*x**2 + 712 + 11477*x**3 - 3*x**2 - 74 - 4348*x**3 wrt x?\nAnswer: 42774*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -2*c**3\/3 + c**2\/2 + 3*c + 4. Suppose 3*j + 16 = 7*j. Let y = j - 6. Let f(g) = -2*g**2 + g + 2. Determine y*h(m) + 3*f(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 673*x + 12. Let o(f) = -56*f - 1. Let c(w) = -5*b(w) - 60*o(w). Let h(j) = -12*j**2 - 180*j. Give -180*c(q) + 5*h(q).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/21793 and 67\/17102.\nAnswer: 372703886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104079038.\nAnswer: 2, 7, 1062031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147456\/5 + 1536\/5*r - 4\/5*r**2.\nAnswer: -4*(r - 192)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -267, -271, -279, -291, -307, -327?\n\"Answer: -2*z**2 + 2*z - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 1 - 3*j + 35 + (-2 - 2 + 2)*(1 - 1 + j) to the form p + s*j and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - v - 28, -4*b + 8*b - v + 35 = 0. Let o = b + 15. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -912, -1816, -2714, -3606, -4492, -5372, -6246?\nAnswer: -7114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/12, 3, 0, 4, 2\/81?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*((-3*j**2 + 5*j**2 + 0*j**2)*(-543*j + 168*j - 389*j)*(-4 - 1 + 3) - 2*j**2 - 2*j**3 + 2*j**2).\nAnswer: -9162*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 387138, 387136, 387134, 387132?\n\"Answer: -2*y + 387140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 331? (a) -1\/3 (b) -79 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 12 = 14*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/2))\/(((f*f\/f**(-2))\/f)\/f)*(f\/((f\/(f\/(f\/(f**(2\/7)*f))))\/f))\/(f*f*f*(f\/(f\/f**6))\/f*f*f))**(-41) assuming f is positive.\nAnswer: f**(5289\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:57 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-13 - 2 - -4 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 - 1.56. Let r = 0.84 - y. Let v = 1.2 - 1. Sort r, v, -0.3.\nAnswer: -0.3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3 + 3. Which is the nearest to d? (a) 0.3 (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p + 30*p - 15*p**3 - 86*p + 30*p.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58823 by 119.\nAnswer: -58823\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 8494212?\nAnswer: -2548263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 2*x. Let q be b(-2). Find the common denominator of ((-2)\/5)\/(2\/10) - (-473)\/308 and 82\/q + (-2)\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2488 + 3576. What is the highest common divisor of 170 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 36\/4)\/((-10 - -5) + -9).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 5*c - 4. Let l be g(-1). Let m = l + 7. Solve -4*f - m*b + 0*b - 13 = 0, -2*f - 19 = 5*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32844 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:46 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -6 + (-9 + 13 - -44) + (-15 - -7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64, -79, -104, -139?\n\"Answer: -5*k**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122041011 (base 6) to base 2.\nAnswer: 1000111010110110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/642 and -103\/48?\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21*2 + 12\/(-56)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 6 = 7*k - 5*k, 8 = 3*j - 4*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/171 and 131\/108.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.1034 and 7.76.\nAnswer: -24.082384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 4, i: 2, p: 3}. Give prob of picking 1 p and 3 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*(-3)\/9)\/3. Suppose -142 = 2*o - 8. Let a = r - o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3654100 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7208629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p**2 - 9*p - 22. Let h be w(-2). Suppose 31*u - 21*u = h. Solve u*b - 24 = -4*f, 0 = -0*f - 2*f + 2*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2069 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12.3 * -10\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (63*2)\/(27\/18).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2163556, -4327110, -6490664, -8654218, -10817772?\n\"Answer: -2163554*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 433512137 a multiple of 3989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1 + (-196)\/(10 + 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 25*v**2 - 220*v - 13. Is 4 a factor of w(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 - (-85 - -88).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let c(r) = -3*r**g - 15*r + 15*r. Let y(o) = 0*o + 4*o - o - o. Calculate c(y(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 1598*n - 1550*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1326?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11619, 11720, 11887, 12120, 12419, 12784?\nAnswer: 13215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from yyyyyyyyyyyybyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - o + 165. Let l be v(-19). Let r = 121 + -296. Which is bigger: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 1433, 625 in ascending order.\nAnswer: -7, 3, 625, 1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 64. Let h = p + 65. What is the greatest common factor of h and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-4)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wioobibbobo. What is prob of picking 1 w and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/180 and ((-18)\/4*1)\/((-195)\/377).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 5*p - 2. Suppose 2 = -2*a - 6. Let s be j(a). Let c = 28 + -28. Solve 5*y - 10 - s = c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13736 + 13827. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7283334 and 9711112?\nAnswer: 29133336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, 1, 7, -0.1, 19, 4, 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 closest to -10783 in -2\/53, 0.6, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 (base 10) in base 15?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 0)*(-2 + 0 + 4)*(-85*v - 1 + 9*v - 2*v) to the form m*v + p and give m.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + o**3 - 5*o**3 - 1 + o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 3\/8, 1\/5, -4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05425 - 4477.\nAnswer: -4477.05425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -523168471388 and 0.02.\nAnswer: -523168471387.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4.4594 - 720\nAnswer: -724.4594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/35 - (-65)\/(-100). Let l = -2 - -6. Let s = 4.1 + -4. Which is the nearest to n? (a) -4\/3 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14152622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 = 3. Suppose 4*o - 6 - 2 = 0. Find the third derivative of -f*z**5 + 3*z**5 + 3*z**5 + z**o + z**5 wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94889678 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -87\/7 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -261, -535, -809, -1083, -1357, -1631?\n\"Answer: -274*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -50. Let h = m - 39. Let a = h - -7. Do 0.1 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from {p: 2, t: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8286 - -8461. Suppose -5 = u, -5*u - 1 + 26 = s. Calculate the greatest common divisor of s and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*z**2 - 157*z**2 - 38*z - 36*z - 16*z - z as k*z + s*z**2 + g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146928 or -147901?\nAnswer: -147901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(13) + sqrt(143)\/(sqrt(44)\/sqrt(4)).\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a**2 + 56*a - 4. Calculate k(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 242, 297, 386, 521, 714, 977, 1322?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 14*v**3 - 3 - 4*v + 25*v**3 to i*v + t*v**3 + u*v**2 + p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172721759?\nAnswer: 7, 24674537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45559430 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 79?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k. Let o(g) = 6*g**2 - 3*g - 9. Calculate o(y) - 4*s(y).\nAnswer: 2*y**2 + y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21154729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 4, z: 1, l: 2, t: 1, o: 2}. What is prob of sequence ii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*v + v - 4*v)*(2 - 4 + 4) as w*v + t and give w.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 41*k**3 - k**2 + 12*k - 23. Determine x(2).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k - 25*k**3 + 61*k**3 + 143*k**2 - 5*k + 98*k**3 wrt k?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = 2*c - 16, -21 = 5*c - x - 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-150) + (-296)\/(-20). Calculate the greatest common divisor of c and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/49550 and -23\/7727818.\nAnswer: 193195450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 7. Let l be p(-3). Differentiate -2*o + 5*o - 3 - 3*o - 2*o**l wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-2)\/(8\/(-9)). Let q be ((-247)\/39 - -7) + 8 + 605\/(-66). Which is the closest to w? (a) 2 (b) 1\/14 (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578003 to the power of 1\/2, to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - -205182.\nAnswer: 205182.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39320, 39325, 39342, 39377, 39436, 39525?\n\"Answer: k**3 - 2*k + 39321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12946 - 5*m + 2*m - 12933 + 25879.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 9, t: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055 divided by 5?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643540.\nAnswer: 2, 5, 23, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107647, -107653, -107659, -107665, -107671, -107677?\nAnswer: -107683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7565423881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 10. Let n(i) = -3*i + 42. Let h(a) = -21*b(a) - 5*n(a). Let j(q) be the first derivative of q**2 + 4. What is h(j(g))?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-6)\/(-12))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/5 - 1605176*g - 3220737488720 = 0. Calculate g.\nAnswer: -4012940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 2*f - 60, -40 = -4*g - 3*f. What is the tens digit of (-453)\/(-13) - (-2)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12721047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 5:11 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 8:41 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2066, 4088, 6110, 8132, 10154?\nAnswer: 12176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**7\/105 - 187*x**6\/600 - 41*x**5\/100 + 9*x**4\/20 - 6*x**2 + 3*x + 54. Solve w(t) = 0 for t.\nAnswer: -18, -1, 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-20))\/((-690)\/13800) - 1. Solve 16\/5*s - 12\/5*s**2 + 12\/5*s**4 - 14\/5*s**3 - 2\/5*s**5 + x = 0.\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8055461379 plus -69?\nAnswer: 8055461310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*9\/116*(-946)\/(-1419).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 7:21 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -7*l**5\/5 + l - 3. What is the first derivative of z(x) wrt x?\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4*n + 3*n)*(-2 + 1 + 3)*(-37 + 37 - 9*n).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (-29 - -21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 7:02 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.132304 centimeters to nanometers.\nAnswer: 21323040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2257284?\nAnswer: 24830124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**3 + 4*u + 3199*u**2 - 4*u - 1672*u**2 - 1521*u**2.\nAnswer: -14*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798911?\nAnswer: 3, 101, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338\/5 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 14 + 51 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {e: 1, c: 1, q: 1, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 9*m**2 - 9*m - 7. Let w be t(10). Suppose 0*p + 6 = -3*p + w*v, 0 = -5*p - 4*v + 35. Suppose -s = p*s - 196. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 13*n**2 + 5*n - 46. Determine y(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36887, 26801, 9991, -13543, -43801?\n\"Answer: -3362*l**2 + 40249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -947 - -947. Let v(d) be the second derivative of -2*d + 9\/20*d**5 + f*d**3 + 0*d**4 + 0 - d**2. Find the first derivative of v(a) wrt a.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:53 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2\/9 - ((-2338400)\/396 + (-9)\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4328545*i*t + 3111542*i wrt t.\nAnswer: 4328545*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + ((1 + sqrt(192)*-2 + sqrt(192))*1)**2)*-1 + -2.\nAnswer: -569 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 12*v - 66. Let t(q) = 16*q - 14. Let c(k) = -3*k + 3. Let n(p) = 11*c(p) + 2*t(p). Let u(i) = -2*j(i) - 27*n(i). Determine u(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 - 3*k**2 + 2*k - 4. Give v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - r - 5, 0 = -5*l - 3*r - 41 + 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzttbbzfuafazfb. Give prob of picking 2 t and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 281*a**2 - 5930*a + 923. Give t(-258).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -4, 16\/13, -3, -71, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-3)\/3) - 2. Let k(p) = -51*p + 1. Let x be k(g). Let u be (-50)\/(-4) + (-1)\/(-2). What is the highest common factor of x and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4277 and 2?\nAnswer: 8554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -999930, -1999860, -2999788, -3999714, -4999638?\n\"Answer: z**2 - 999933*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.3, 0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26022 take away 4133048?\nAnswer: -4159070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p**2 + p + 1. Let j be v(-1). Suppose -4*h - 4*a + 116 = 0, j = -5*h - 3*a + 2 + 135. Suppose -2*b + h = 3*b. Solve -3*w = -b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**2 - 3*l + 1\/12*l**4 + 0 + 1\/6*l**3. Solve x(j) = 0 for j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273880*l*m**2 + l*m + 2184769*l + 7*m**3 - 2 wrt m.\nAnswer: -547760*l + 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16819 + 16784.951. Let l = 34 + k. What is l rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/10 - 13*y**3\/6 + 533*y**2 + 2*y. Let r(s) = 5*s**2. Calculate r(v(f)).\nAnswer: 180*f**4 + 780*f**2 + 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81\/4 of a kilogram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35a (base 11) to base 2.\nAnswer: -110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vhhhvhhovo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 15. Let i = 3 - -1. Let h = f - i. What is the biggest value in h, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 7*a - 5*a - 20688 = 0. Calculate the lowest common multiple of 1293 and a.\nAnswer: 5172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7743a2 - 50?\nAnswer: -7743f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00252088 rounded to 5 decimal places?\nAnswer: -0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:35 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 1. Let m be z(-3). Let i be (-18)\/(-5) + (-12)\/20. Find the second derivative of -p**3 - m*p - p**i + p wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/250)\/(1\/(4\/(-10))).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 2*r**2 + 3 - 91*r - 94*r - 52 + 170*r. Let o be x(18). Solve -o*g - 4*u + 16 = 0, u - 12 = -3*g - 2*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/4 + 825*h**3\/4 + 17748*h**2 + 68525*h + 67704 = 0.\nAnswer: -728, -93, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11123471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-40 + 20 + -6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(6)\/sqrt(2) + ((sqrt(18)*2)\/sqrt(6))**2 + (sqrt(36)\/sqrt(192) - (sqrt(3) + 2*-1*sqrt(3))).\nAnswer: -11*sqrt(3)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56554, 112921, 169288, 225655, 282022?\n\"Answer: 56367*k + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13505*i - 189061. Determine t(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21*w + 48*w - 14 - 22*w. Let p be m(9). Calculate the greatest common factor of 31 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 + 4*x - 1. Let k(o) = 9*o**2 + 7*o - 2. Let j = -17 - -11. Give j*k(q) + 11*l(q).\nAnswer: q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161260 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -61?\nAnswer: -135\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34\/5 - 32\/5. Which is the closest to 2\/7? (a) -1\/3 (b) 0.26 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4 - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594429646?\nAnswer: 2, 29, 1489, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z + 5*z - 13*z**2 + 2*z**2 + 21 - 7. Let i be f(11). Let a = i - -11. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = 10*q. Suppose -8*i - 305 + 2737 = q. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 6:44 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 496 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 176*y + 1416. Let w be i(-8). Solve w = -4*m, -4*m + m = r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/12 + 7*x**3\/6 + x**2. Let p be ((-9025)\/(-1083))\/(35\/(-42)). What is c(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -3, 5, 6, -537, 11 in descending order.\nAnswer: 11, 6, 5, 2, -3, -5, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0585 or -1\/5?\nAnswer: 0.0585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10247*m - 1408 = -10263*m. Solve 43*l - 45 = -m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059 = -117*q + 159 - 2961 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(1 + 2\/(-6)). Let a(c) = -8*c - 11. Let f(o) = o**3 - 5*o**2 + 2*o + 1. Let u be f(2). Let h be a(u). What is the highest common divisor of h and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -884.53 - -889. Let n = q - 0.47. What is the closest to 0 in 2\/5, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h = -22*h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49667 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 412, 558, 764, 1030, 1356?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113\/(22148\/168))\/((-3)\/(-231)*-1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 17 = -14*d - 2*k, 4*d + 22 = -2*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.99 + -1.1. Let r be (3 - 6) + -1 - -16. Let y be r\/30 - (24\/(-45))\/2. What is the closest to -0.1 in y, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + s**2 - s - 1. Let l = -20 + 16. Let x(o) = 2*o**3 + 4*o**2 - 4*o + 2. Let u(v) = l*d(v) + x(v). Differentiate u(q) with respect to q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.34932 months to millennia.\nAnswer: 0.00677911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/720 + c**5\/240 + c**4\/4 + 5*c**3\/3 - 6*c + 35. Let f(l) be the third derivative of r(l). Let f(d) = 0. What is d?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, w: 2, b: 2, n: 1, y: 1}. Give prob of sequence by.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 711321793 to the power of 1\/3, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5814*w**4 + 30*w**2 - w + 4?\nAnswer: 139536*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -16 - (1 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7071, 14146, 21235, 28344, 35479, 42646, 49851, 57100?\nAnswer: 64399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/547092 and 149\/13104.\nAnswer: 2188368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 - 3)\/(-1))\/1. Which is smaller: c or 2.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5306 - 3704. Suppose -9*c + p = -4*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - m + 0*m)*(2 + 3 - 3)*(-14*m + 8*m - 12*m) as d*m + y*m**2 + f and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 27*o - 49. Let y be t(-26). Let j = y + 77. Calculate the greatest common divisor of 18 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/12)*j)\/(j\/(((j\/((j*(j*j*((j*j\/j**(-3\/11)*j)\/j)\/j*j)\/j)\/j*j)*j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(-443\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 24 = -30*y. Let t(g) = g - 5. Let s be t(y). Suppose b + s = -3*d, 2*d + 44 = -0*b + 4*b. What is the remainder when b is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:59 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36*81\/(-131220))\/(1\/6). Let m be ((-2)\/(-15))\/(2\/10). Let u(z) = z. Let d be u(4). Which is the closest to m? (a) q (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54001619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24280 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 11. Let g be f(8). Suppose -g*n - 1602 = -13102. What is n rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 3:56 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**2\/2 + g + 91. Suppose -2*d - 28 = 5*v, 0*d - 4*v = d + 20. Determine l(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825539210 to the power of 1\/2, to the nearest integer?\nAnswer: 53156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (208 - 208 + 12*s + (4 - 4 + s)*(0 + 3 - 5))*(-3 - 2 + 0)*(-6*s + 3*s + s) to f + q*s + i*s**2 and give i.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (6 + -8 + 17 - 27).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2\/2 - 8*d - 80. Calculate h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14669 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/98940 and -133\/24916390.\nAnswer: 149498340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-33)*(-21)\/9)\/((-11)\/22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5506570 by 10.\nAnswer: -550657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-260)\/(-150) + (-8)\/6. Let w = 5 - 8. Let x = w + 2. What is the nearest to x in 1, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64 - 20*p - 64)*(0 - 7*p + 10*p + 1) to u*p + i*p**2 + x and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 6219*z**3 - 3*z - z**2 - 6272*z**3)*(2 + 2 - 3)*(-z - 2*z + 5*z) to the form k*z + n + c*z**3 + m*z**2 + h*z**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 16 = -3*a + 8*d, -a - 5*d - 8 = 0. Solve 3*k - 5*j + 40 = 0, -3*k = a*j - 15 - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 14*p**2 + 11*p + 27. Give f(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 + 2*w - 34. What is the tens digit of j(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74 and 0.0735.\nAnswer: -5.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) - -2*-1*sqrt(208)) + sqrt(208))\/(sqrt(44)\/(-2*sqrt(11))))\/(5*sqrt(100)*5*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -56. Let d be 3*(-5)\/o + 0. Which is greater: d or 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671815373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -706.1*3.3\nAnswer: -2330.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176899234 and 36290?\nAnswer: 7258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.631 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (4\/12*-3 - -7). Sort -14, -1, n in increasing order.\nAnswer: -14, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**3*f**2 - 2*c**3*o - 5*c**3 + 5*c**2*f**3*o - 95*c*f*o + 55*f**2*o + 2*f*o wrt f.\nAnswer: 10*c**3 + 30*c**2*f*o + 110*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2074.\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8588 and 608?\nAnswer: 68704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 372*x**2 - 6 + 8 - 133*x**2 - 4 - 219*x wrt x.\nAnswer: -1010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -25*n + 192. Let v be t(23). Let g = -372 - v. Which is greater: 68\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -11) + -9 - 3 - (-19 + 55)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47033912.\nAnswer: 2, 5879239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a577 (base 12) in base 8?\nAnswer: 43253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2223 - 0.2223. Suppose -10*s - 12 = -7*s. What is the smallest value in s, o, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162.5 - 162.4. Let u = -4.657 + -0.303. Let j = u - 0.04. Which is the third smallest value? (a) j (b) v (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24ae90 (base 15) in base 11?\nAnswer: aa1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - x = 210, 4*n - 5*x = -143 - 54. Let k be (n - -4 - -2) + 2. Let f = -37 - k. Sort 0, -5, f.\nAnswer: -5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 11020100 (base 3) to base 15\nAnswer: dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1887*l - 259*l + 2141*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2618)\/(-102))\/((756\/(-594))\/(12\/(-88)*8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by ((-300)\/21)\/(9\/(-63))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*b + 6 = 0, -5*q + 5*b + 4 = -1. Let n be (1\/2)\/(q\/(-10)). Calculate the greatest common divisor of n and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-30) - (-57)\/(-120)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/3 - 98*y**4 + 114608*y**3\/3 - 680432*y**2\/3 + 452000*y - 902368\/3 = 0.\nAnswer: -326, 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 + -2.85. Put y, 5\/3, -4 in decreasing order.\nAnswer: 5\/3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -114 + -72 + 78 + 221.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -2914, -7134, -13048, -20656, -29958?\nAnswer: -40954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 32. Suppose l - 2 - 13 = 0. Let c = j + l. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 + 1\/24*x**4 - x + x**2 + 1\/6*x**3. Let j(r) be the first derivative of a(r). Find the first derivative of j(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -30 - 18. Let l be (-31 + 1)*(c\/(-10))\/(-4). Let w = -20 + l. Solve 5*b = b + w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16551 < -1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37965409?\nAnswer: 337, 112657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20101 - -10?\nAnswer: 20111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 27*i + 30*i - 515, -3*j = 5*i - 378. Calculate the remainder when j is divided by 130.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-12) - (77010\/(-3060))\/(28\/(-6))?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 22*s - 75. What are the prime factors of b(46)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -19.5. Let z = k - -17. Round z to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*v + 4*o - 54, -55 = -5*v + 7337*o - 7341*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*h + 3*v, 36 = 3*h + 4*v - 4. Suppose h = u - 4*d, -5*d - 3 - 10 = -u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3185 divided by -455\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggttgbcgttgtwwttg. What is prob of picking 1 w and 2 t?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/890 and 111\/1780?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l + 2. Let r = 11 - 8. Let m(p) = -9*p - 3. Suppose -u = 2*u - 21. Let w(c) = r*m(c) + u*n(c). Let d(b) = b + 3. What is 5*d(t) - 3*w(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.083436 centuries to decades.\nAnswer: 70.83436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/40 - 20\/(-25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c + 11*c = 19758. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**2 - 20*x**2 - 2*x - 19*x**2 - 10 - 3*x + 12*x**2.\nAnswer: -49*x**2 - 5*x - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*j + 2)*(3005*j + 3756*j + 13026*j) as s + n*j**2 + o*j and give n.\nAnswer: -39574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -414 + 475. Suppose -f = 5*p - 436. What is the highest common divisor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5767 or 29504?\nAnswer: 29504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*h + 9 = -6*n, 0 = -5*n + 5*h - 15. What is the remainder when 47 is divided by -1 + 8 - ((n - -1) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**5\/20 - w**4\/2 + w**3\/3 + 7*w**2 - 317*w - 149. Let o(z) be the first derivative of d(z). What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1051.8049.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000423370691 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 5534617.\nAnswer: 221384.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4632, -4633, -4634, -4635, -4636?\n\"Answer: -j - 4631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 14*q = -6*q - 150. Calculate the highest common divisor of q and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2382*m**2 + 6*m - 6*m.\nAnswer: 2382*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 31*r. Let o(h) = 1313774*h - 1. What is o(x(v))?\nAnswer: 40726994*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 19*g**2. Let c(h) be the third derivative of h**6\/144 - h**4\/3 - h**3\/3 - 97*h**2. Let l(r) be the second derivative of c(r). What is l(u(s))?\nAnswer: 95*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 4 + 0\/1. Let q(b) = 6*b - 2*b - 4*b - b**x. Let k(z) = 11*z**2. Let c(v) = 210*v**2. Let l(d) = 4*c(d) - 77*k(d). Determine q(l(t)).\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 38906 + 214729. What are the prime factors of m?\nAnswer: 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.04 (b) -1147 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)\/w**5)**(-2\/29)*(w**(2\/3))**36*(w**(-2\/7))**(2\/151) assuming w is positive.\nAnswer: w**(745069\/30653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8052 + 2*x**2 + 8052.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 35\/(-10))\/(2 + 0). Which is the nearest to -0.3? (a) s (b) 5 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -d + 31, -d - 2*d + 3 = 0. Let h be (-3 - z\/(-10))*-2. Which is the closest to -1? (a) -1 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/5, 2, 4\/3, 0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44 + 7 - 64*s**3 - 9 - 13 wrt s.\nAnswer: -192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 6)\/((-5 - 1)\/(-6)). Suppose 84 = -i*d + 8*d. Suppose -2*j = -4*q - d, -2*j - 3*q = j - 15. Solve 8 = 4*y, -2*r + 3*y + 0 = j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 11*k**2 - 9*k + 14. Let g be z(-10). Let j be -2*(g - 44\/12). Which is greater: j or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6 - 0) + 4\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 1091340?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j - 2. Let a(u) = 23 - 15 - u**3 + 2*u + 5*u**2 - 3. What are the prime factors of a(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + -94. Calculate the least common multiple of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**40)\/t)*t**27\/t*t*t**5*t**31*t*t)**4 assuming t is positive.\nAnswer: t**424","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxwcccwyxcwm. Give prob of picking 1 y and 1 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 48*h = 50*h - 17*h + 660, i + 3*i - 31 = 3*h + 17 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377*-151.\nAnswer: 56927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 2*c**2 - c + 1. Suppose j + 4*j + 10 = 0. Determine t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 430 + -427. Solve 5*z - 5 = -d*l - 2, z - 19 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2. Let j(t) = 1925*t**2. Give v(j(d)).\nAnswer: 14822500*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca6 + -7753?\nAnswer: -677a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.8 + 6.552. Let g = 1.262 - c. Round g to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, -99.4, -2 in increasing order.\nAnswer: -99.4, -2, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 102, 100, 90, 72, 46, 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f + 23473635 = 23468343 for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103275.582 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-50) assuming i is positive.\nAnswer: i**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)\/b**9*b**(-3\/13)*(b\/(b\/b**(-11\/3)))\/b)**(-46\/5) assuming b is positive.\nAnswer: b**(44666\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-87))\/((-684)\/(-9918)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0 - 7\/2*q**2 - 5\/2*q**3 + 67*q. Let u(l) = -8*l - 4. Calculate -6*t(w) + 11*u(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 60. Suppose -j*g - 8 = -53*g. Solve 1\/2*o**g - 3\/2*o**3 + 3\/2*o**2 + 0 - 1\/2*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 343\/110 + -33\/10. Let i = -1.1 - -0.8. What is the fourth biggest value in 0.7, c, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**2\/2 - z - 1. Give w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l + 96. Let h(j) = -j - 16. Give -4*h(o) - n(o).\nAnswer: 9*o - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 0 + (3 - 12 - -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605363849.\nAnswer: 89, 173, 39317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**3 + j**2 + j + 1. Let x(d) = -23*d**3 - 103*d**2 + 110*d + 214. Let l(m) = -2*u(m) + x(m). Determine v so that l(v) = 0.\nAnswer: -106, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2355879717283\/4116329154 + -6\/32669279. Let r = x + -3988\/7. What is the common denominator of r and 46\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 10 = -5*r + a, 0 = 5*r - a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15719779?\nAnswer: 15719779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37133821 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.14078 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 12*n + 14. Let w be t(11). Let u(m) = 4*m + 7. Let b(f) = -2*f - 3. Let r = 1 + 6. Let q(h) = r*b(h) + w*u(h). Give q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/2)\/(2\/2). Let m = -1117\/6 - -186. What is the second biggest value in g, -3\/2, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37158068*a**6 - 3*a**2 + 51*a + 35630 wrt a?\nAnswer: 4458968160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -71\/1214453 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from plmmle.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.112 - -2.02. Let l = i + -0.323. What is l rounded to 2 dps?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2. Let z(r) = 2*r + 727 - 3*r**2 - 727 - r**2. Let b(j) = -9*j**2 + 5*j. Let k(h) = -2*b(h) + 5*z(h). Calculate d(k(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 39. What is the second derivative of -l**x + 35*l**2 + l - 4*l + 4*l wrt l?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 - 114986*m**3 + 344952*m**2 - 344950*m + 114983 = 0. Calculate m.\nAnswer: 1, 114983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 195 = -l. Let q = l + 104. Let k be 42\/(-98) + q\/7. Solve -4*a + k = 0, 3*a - 9 = s + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774.6283 nanometers in micrometers?\nAnswer: 0.7746283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhhahhay. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.015 + -7.985. Let p = -163\/2 - -83. Suppose 3*m - 13*m + 10 = 0. Which is the nearest to m? (a) s (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4*r**2 - 3*r**2)*(-3*r + 2*r + 3*r) - r**3 + 4 - 4 + (r + 2*r - 5*r)*(4*r**2 - r**2 - 5*r**2) + 2889*r**3 + 35*r**2 - 35*r**2.\nAnswer: 2890*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2077, 4159, 6239, 8317, 10393, 12467, 14539?\nAnswer: 16609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 8:18 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -821\/10 + 573\/5. Let u be (-114)\/(-9) + -3 + (-2)\/3. What is the common denominator of 394\/396 + -1 - 2\/u and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3 + 3)*(5*d + 1 - 1) + (2*d + 3*d - 7*d)*(3*d - 2*d - 2*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 317, -7, -2, -47 in descending order.\nAnswer: 317, 12, -2, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d - 1. Let v be c(-1). Factor -5 + 2*n**2 + 0 + 1 + 6*n**3 - v*n + 2*n**4 + 2*n.\nAnswer: 2*(n - 1)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7542 is divided by 579?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 138*f - 9651. What is q(75)?\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*a - 253 = 70, -4*a = -2*d + 118. Calculate the remainder when 399 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175 + 2*q**2 - 92*q**3 + 6*q**3 + 8*q**2 + 84*q**3 to i + h*q + b*q**3 + y*q**2 and give i.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*r + 195, 273 = 5*s + 2*r - 220. Suppose 0 = -4*l + 2*h + 3*h + 360, l + h = s. Calculate the remainder when l is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.8. Let m = 18 + -15. Which is the nearest to -0.1? (a) h (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 3*y**3 + y**3)*(2*y**2 - 3*y**2 + 2*y**2) - y**5 - y**5 + 0*y**5 + (-y**4 + 2*y**2 - 2*y**2)*(4*y - 3*y - 2*y) + 2*y**5 - 6*y**5 + 3*y**5.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8355, 17025, 25693, 34359, 43023, 51685?\nAnswer: 60345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 266?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256832?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*o = 3*c + 21, -4*o - 12 = 0. Is 29*(5 - 2 - c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5858910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - b = 20*m - 8, 0 = 4*m + 2*b - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051 - -242958691854?\nAnswer: 242958691853.9949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-243)\/(-18)*14\/(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1451*h**4 - 1732*h wrt h.\nAnswer: -17412*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 85. Suppose z - 5*z + 4*n = -444, 225 = l*z - n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 85\/2. Suppose 5*l + 2*l = 7. What is the smallest value in 0.03, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Find the second derivative of x**3 + x**5 - x - x**a + 0*x wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14341293463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42407026, 84814046, 127221060, 169628068?\n\"Answer: -3*u**2 + 42407029*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -56, -26?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/35136 and -53\/8176440.\nAnswer: 196234560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 5168.\nAnswer: 25840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -372, -703, -1034, -1365?\n\"Answer: -331*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021526672.\nAnswer: 2, 433, 147449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*g**3 + 2 + 6*g**5 - 72*g**3 + 30*g**3 - 4*g wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:10 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -47093\nAnswer: 144\/47093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 4*z**2 + 8*z - 3. Let t be 22\/(-6) - 2\/6. Let y be (-2 + 70\/28)\/(2\/(-72)). Let m be y\/t + (-8)\/(-16). What is q(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*z + 4*z, 5*j + z - 12 = 0. Suppose -2070 = y + j*t, y + 4*t + t + 2085 = 0. Round y to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -208, -429, -738?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12 + 5*o - 2*o + 16 - 6. Let i be v(-5). Let w = i + -4. Solve -5*h + 5*n - 15 = 0, 4*h - 2*n + w*n = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5141.8 to the nearest ten.\nAnswer: -5140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 0 - (23 + -26)) + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64886400 by -4.\nAnswer: -16221600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + m - 217 = 148, 3*p + m - 1091 = 0. Let b = 704 - p. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 48. Suppose 3*q - 176 = 4*n, 16 = 3*q + y*n - 168. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4126\/(-2))\/(-1 - 0) - 1. Let v = w - 1366. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 165*z**2 + 3*z - 2. Let m be h(-4). Suppose 5*f + 346 = m. Is 19 a factor of (-8)\/20 + f\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/543038 and -17\/159.\nAnswer: 1629114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -478, -13, 0, 5 in increasing order.\nAnswer: -478, -13, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:36 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-511)*(-15)\/30)\/1?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + 2 + -7 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -3*k**3\/2 + k**2\/2 - 29*k + 1. Let r(g) = -2*g. What is r(b(y))?\nAnswer: 18*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76593 is divided by 38295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 43*u**5\/20 + 53*u**4\/12 - u**3\/3 + 587*u. What is the third derivative of m(j) wrt j?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujyg when four letters picked without replacement from {k: 1, u: 1, g: 6, j: 1, y: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 18 = 7*c. Calculate the remainder when 7 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2058\/(-1848))\/((-7)\/2) - (-3)\/2?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 - -195. Sort -5, c, -3 in ascending order.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from pqooponpnoqqonnooq?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186 + -183. Solve w*k + 8 + 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1489740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2553\/32 or 80?\nAnswer: 2553\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*(44\/(-4) - 23). Suppose -6 = p + l, -4*p + 2*l = 13 + 5. Sort 4, p, s in descending order.\nAnswer: s, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b (base 15) to base 4.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b1 (base 16) in base 15?\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -324331 minus 5047213?\nAnswer: -5371544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589297980?\nAnswer: 2, 3, 5, 29, 149, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 625.6749 millilitres?\nAnswer: 0.6256749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 30*s = -1448. Let o(t) = 64*t + 21. Let b be o(10). Let r = s - b. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 33*f**2 - 6. Let b(u) = 65*u**2 - 13. Suppose -p - 41*x = -44*x + 21, 3*p + 4*x - 2 = 0. Give p*b(j) + 13*g(j).\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -928*y - 183581. Give a(-198).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -538692, -2154767, -4848228, -8619075?\n\"Answer: -538693*f**2 + 4*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + h + r = 6*h + 6*r + 17, 300 + 64 = 120*h - r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*k + 155*k - 150*k - 1.\nAnswer: 309*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l**4 - 95566*l**3\/11 + 282274*l**2\/11 + 953620*l\/11 + 10800\/11 = 0. What is l?\nAnswer: -2, -1\/88, 5, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by -3004?\nAnswer: -219\/3004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05101909845 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24976293 divided by -8325431?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 1141151?\nAnswer: 1141204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 + -443\/2. Let v(b) = b**3 - 4*b**2 + 4. Find the common denominator of v(5) and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 5:41 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 - -2.92. What is v rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) 1 (c) 0.04 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.875931 millennia?\nAnswer: 87.5931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/4523, 0.27, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -463, -742, -1023, -1306, -1591, -1878?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0 - 1\/5*i**5 + 3*i + 0*i**2 - 1\/12*i**4 + 0*i**3. Find the third derivative of c(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.71383688\nAnswer: 4.99685816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 118*b**2 + 3314*b - 243. Calculate g(72).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14*(7840\/105)\/32)\/(16\/60)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -57. Suppose -6*b = -2*b - 288. Suppose 10*u - 4*u - b = 0. What is the remainder when s is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 plus -1449270?\nAnswer: -1449337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 65 = -30*y + 235 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.0562\nAnswer: 0.02248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/119, 0.04, 2\/5, -2\/5, 4, 1.72?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 178?\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*d - 27, 2*d = -v - 13 + 5. Let q(m) = -11 + m**3 - 8*m**2 + 2*m**v + 7*m + 14. Does 22 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1766594.4*-3.\nAnswer: 5299783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04 times -15.0388?\nAnswer: -15.640352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011816 to six decimal places.\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/13)))**(-25)\/(z**(3\/10))**(3\/8) assuming z is positive.\nAnswer: z**(-4117\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1010.8294816 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*l**3 + 31*l + 2607 with respect to l.\nAnswer: 111*l**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + -5. Which is the second biggest value? (a) 0.3 (b) -2\/25 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21303 divided by 2367?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + 0)**2 + sqrt(288).\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67844 is divided by 968?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 3*w + 3*w + 50*w**2.\nAnswer: 50*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 3:45 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 30*z = -249. Let i = z - 176. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, k: 3, y: 4}. Give prob of picking 1 z and 1 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j. Let b(w) = 80*w**2. Determine b(h(y)).\nAnswer: 1280*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4712677 and 0.05.\nAnswer: 235633.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2600)\/352 + 9 - 10\/8.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 83346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 5 = 3*p + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 438\/9*(-3)\/2. Let n = 158 + q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 4*k**2 - k - 2. Let t be w(-4). Let y(b) = -11*b - 2*b + 5*b - b**2 - 7. Let x be y(-7). Put -4, x, t in decreasing order.\nAnswer: t, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5) + -5)**2*-5 + ((sqrt(40)\/sqrt(2)*6)\/sqrt(4))**2.\nAnswer: -45 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 8) to base 15.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3699459 at least as big as -18497296\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 15*x + 7 - 17*x - 4. Let b(t) = -t + 1. Determine -3*b(p) + h(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -14\/3, -0.23, 4 in increasing order.\nAnswer: -6, -14\/3, -0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2287*0.66\nAnswer: 1509.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2426282 to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t + 1. Let m(l) = -16*l - 3. Let y(k) = 8*g(k) + 3*m(k). What is y(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r - u, u + 8 = 4*r + 4*u. Let h(n) = n**2 - 6*n - 4. Let g be h(6). Let t be (g\/1 - -34)*1. Solve 0 = 4*w - r*w - 2*z + 6, 5*z = -4*w - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18779, 75361, 169657, 301661, 471367, 678769?\n\"Answer: -m**3 + 18863*m**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 124\/(-31)*((-4)\/12)\/(6*8\/(-2844))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4220\/3 - -1406. Which is the smallest value? (a) o (b) -114 (c) 0 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6165165 (base 7) to base 6.\nAnswer: -23500530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.7 (b) -0.4 (c) 1 (d) 45.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 10 - (5 + -14 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4058665 (base 9) to base 3.\nAnswer: -11001222202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 2. Let y = 0.35 + -0.05. Let t = y - r. Which is the third smallest value? (a) t (b) 4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from iiqiaqiqqiqiqqqqqiqa.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 31. Calculate the remainder when u is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = -4*n - 17, 5*u - 20 = 3*n. Let o be (u - 2)*(1 - 3). Differentiate 0*d + o - d + 0*d wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*s + 16, -4*s + 3*s + 3*k = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 166, 561, 1296, 2491, 4266, 6741?\n\"Answer: 20*u**3 + 50*u**2 + 105*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*c + 18, p + 11 = -3*c - 7. Let g be (-182)\/c - 4\/12. Suppose 0 = 2*m - 7*m + g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.493193 hours to nanoseconds.\nAnswer: 26975494800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5, 4*n - 4*p - 226 = 254. Let q = 100 - n. Calculate the remainder when q*260\/(-45) - 4\/(-6) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**5 - 270*y**4 - 15*y**3 + 800*y**2 + 540*y = 0.\nAnswer: -1, 0, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (211\/(-422))\/((-1)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 17*s - 5*h + 19, -s = -3*h + 8. Solve -14 = 3*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286881229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5067.18434 to the nearest ten.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46981189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 6*t + 3592. Let a = t + -1089. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35212035 and 3135?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 50. Suppose 26 = p + m, -3*m - 82 = -4*p + h. Suppose c - p = 36. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/32 and 49\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*(0 - 19). Suppose 109*g + 8 = 108*g. Let h = g + n. Which is the biggest value? (a) h (b) -1 (c) 5 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {w: 1, f: 4, r: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + h = -2*v + 6, 5*h - 20 = -5*v. Suppose 6*c = v*c - 16, -2*z + 4*c = -36. Suppose -3*y + 197 = -13. Calculate the highest common factor of y and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 21, -95 in decreasing order.\nAnswer: 21, 17, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/25)\/a**(-11))\/(a*a\/((a\/(a*a**(-7\/4)*a))\/a*a)*a*a**(-20)*a) assuming a is positive.\nAnswer: a**(2791\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211 + 242 - 10*q - 12*q + 398.\nAnswer: -22*q + 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/5)*((m*m*((m*m\/m**(18\/11)*m)\/m)\/m*m)\/m)\/m assuming m is positive.\nAnswer: m**(-13\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 20*g**2 - 156*g + 1478. Calculate v(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 10) in base 13?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 7:45 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1391402, -1391400, -1391396, -1391390, -1391382?\n\"Answer: b**2 - b - 1391402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.124491 to 3 dps.\nAnswer: 14.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 70\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5210298 - 1553\nAnswer: -5211851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000 (base 5) in base 16?\nAnswer: -5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6128 - 6124. Let l(f) be the second derivative of -19*f - 4\/5*f**5 + 0 + 4*f**3 + 0*f**m + 0*f**2. Find the second derivative of l(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**4 - 90525*u**3 + 45104395*u**2 - 5675704575*u - 5720899500 = 0.\nAnswer: -1, 255, 17596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0111 + 21.1111. Let r = i + -19. Let w = 1.1 - r. What is the nearest to w in 4\/5, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 5*q**2 - 4. Let s be a(4). Let t = -63 + 74. Suppose -t*k - k + 72 = 0. Calculate the greatest common divisor of k and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105.184 + -106.9. Round z to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1462678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 333 + -330. Suppose f*c = c - 4. Let z(r) = r**3 + r**2 + 1. Let j(x) = 4*x**3 + 2*x**2 + 2*x + 2. What is c*z(y) + j(y)?\nAnswer: 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*0\/(-2 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 1. Let a(b) = -b**2 + b. Let w(v) = -a(v) + s(v). Is 14 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - b33?\nAnswer: -b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/658 and -34\/2491.\nAnswer: 34874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 2, 7, 16, 29?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**2*z + 60*u**2 - 4*u*z**2 + 10*z**3 + 7 wrt z.\nAnswer: u**2 - 8*u*z + 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/91 - -107\/728. Let q = 3 - 3. Is q greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062661439 to 5 dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -69391\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(1232\/(-206789)) - 1\/(-8). Let o = -880 + l. List the prime factors of o.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxsssxsxxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206 - -444. Let i be 1\/(-11) - v\/(-77). Solve 3*u = 5*o - 9, 4*o + u = 11 + i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 16) in base 6?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2097887 rounded to two decimal places?\nAnswer: 17.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78\/113 - -7811\/10170. Let d = -85 - -737\/9. Calculate the common denominator of d and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*n + 3781 + 1057. Solve n = 50*f + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29522 + -0.79522. Let c = 0.3 - 0.2. What is the closest to 19 in c, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3 - m + 1. Calculate the remainder when f(1) is divided by 3*3\/9*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*n**2 - 206*c*n + 48*c + 7*n**2 + 314*n + 948 wrt n.\nAnswer: -4*c*n - 206*c + 14*n + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*j**2 + 5*j**2 + 187*j - 10*j**2 - 80*j wrt j?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 minus 400010813094?\nAnswer: -400010813171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose 2*m = -4*v + 18 + 4, x*m - v = 0. Suppose 20 = 5*t - 3*l, -4*l - 8 = -2*t - 2*l. Calculate the highest common factor of m and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14072103 and 2736?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 0*p**2 - p**2 + (-2*p + p + 3*p)*(-325*p + 11 + 646*p - 337*p) in the form i*p + n*p**2 + z and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i + 4*i + 3*i)*(i**3 + 1 - 1)*(-508 - 178 + 416)*(0 + 1 + 0) in the form s*i**4 + w*i**2 + g*i**3 + b*i + y and give s.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1)\/((3 + 1)\/428). Let d be (-1 - 121)*(-1)\/(-2). Let v = d - u. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -416, -844, -1358, -1910, -2452, -2936?\nAnswer: -3314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 20405*y**2\/2 - 40803*y\/2 + 61209\/2.\nAnswer: -(y - 1)*(y + 3)*(y + 20403)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/21)\/(1\/(-6)). Solve -15*s = -11*s + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(77\/7))\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 133190*i - 266378*i - 39 + 133202*i - 8 - 2*i**2 as x + w*i + l*i**2 and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-73204)\/(-24))\/(27\/162) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1108 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -64, 24.\nAnswer: -64, 0.3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**2*p**3 + 2*b**2*p**2 - 1065*b**2 - 8359*b*p**3 + 1117*b*p**2 + 4*p**3 wrt p.\nAnswer: -18*b**2 - 50154*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = 5*l, 2*q - 43*l + 42*l - 17 = 0. Suppose -3*w - 6 = 0, w = q*t - 2*t - 4942. What are the prime factors of t?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476059 - 1186287 = -4*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115872 + 396967 = 5*l. Let t = l - 110649. Round t to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*h + 3, -6*g + 5*h = -g + 5. Is 1\/1787 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.11 + 0.11. Let y = 0.04 - 0.05. Let j = y - 0.29. Put a, j, 2\/11 in ascending order.\nAnswer: a, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*6\/(-3) + -4. Let o = -13 - -11. Let d = o - i. Put -1, d, -2 in descending order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -10, -3*z - 13 + 38 = -5*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - o - 32 = 0, 0 = t + 2*o + 2 + 12. Let h be (-4)\/t - 4\/(-10). What is the nearest to -1\/2 in 2\/5, h, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16399 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 831?\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 11. Which is the closest to 0.2? (a) -1 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i - 46043 = 341*i + 656*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 16*t - 683. Let b(d) = -6*d - 14. Let s(i) = -i**3 + 10*i**2 + 10*i + 6. Let j be s(11). Calculate the least common multiple of b(j) and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*n**5 - 458234*n**4 + 7*n**3 - 605171277*n**2 + n - 1 wrt n.\nAnswer: 960*n**2 - 10997616*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -31. Let y(h) = 2*h - 93. Let a(d) = -3*x(d) + y(d). Let q(n) = 15*n**2 - 162*n. What is a(q(k))?\nAnswer: 30*k**2 - 324*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2705*g - 2710*g = -2*a + 95, 4*g + 76 = -2*a for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -764126.\nAnswer: -5\/764126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5409 = 1106*n - 4329*n + 4260 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-9) + 6\/(-9). Suppose 4*c - 3*z = 33, -5*c = -5*z - 26 - 9. Calculate the least common multiple of c and (-3)\/h + 4\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + 5. Let g(r) = 9*r - 2. Let f be g(t). What is the highest common factor of f and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16135.639 and 4?\nAnswer: 16131.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/(((-8)\/(-10))\/((-198)\/(-110)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyvyvysvvsyvvvvyyv. Give prob of picking 1 v and 3 y.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 745344 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-154)\/(-40)))\/(-24 - -23).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r = -38*r - 225. Suppose 0 = 4*j - 2*h + 15 + r, -5*j = -4*h + 45. Which is the biggest value? (a) 1\/2 (b) 1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14758 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046933 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/60 - 3*j**4\/8 + 11*j**3\/6 + 2*j**2. Let v be z(8). Suppose 4*g + 12 = 0, v*t + 0*g = 3*g + 84. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2624 + -1.7915\nAnswer: 2622.2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-2\/3)\/m))**(-9\/10)*(m**0*m)**(2\/57) assuming m is positive.\nAnswer: m**(-1861\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * -4.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/30*b**5 + 0 + 0*b**3 + 0*b + 0*b**4 + 2*b**2. Let h(l) = -3*l. Calculate h(y(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from vfbfvffvvvvubbuo.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36 and 95.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9238 or 27716\/3?\nAnswer: 9238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9622 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(20)\/(-3*sqrt(40)\/sqrt(4)) - ((sqrt(968)*-1 + sqrt(968) - sqrt(968) - sqrt(968)) + sqrt(8))\/(-3*sqrt(36)))*2.\nAnswer: -10 - 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 0, -5*v - 13 - 2 = 3*a. Let r(w) = -w**3 + 3*w**2 + 9*w - 4. Let i be r(5). Let x = -28\/3 - i. Sort a, x, -3 in increasing order.\nAnswer: a, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1205 and -2\/515?\nAnswer: 124115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -784, -0.07815, -0.2 in ascending order.\nAnswer: -784, -0.2, -0.07815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14930 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5846*r**3 - 277237*r + 4 + 277237*r.\nAnswer: 5846*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + s**2 - s + 1. Let q be y(1). Let p(u) = u**q - 1 - 4 + u + 2 - 3*u**2. Let n be p(3). Solve 7*x - 2*x + 25 = n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23061052 (base 8) to base 13\nAnswer: 1063668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**2 - 914*k - 229. Calculate the remainder when 1095 is divided by o(102).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010120101212 + -1000000?\nAnswer: -10010121101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b = 332*b + 2374 + 866 + 10368 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -156 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -4) + ((5 - 9 - 1) + 3 - 60).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 360702*o**2 - 25978320*o - 467656416.\nAnswer: 2*(o - 180423)*(o + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 876 - 898. Calculate the smallest common multiple of 45 and 5\/((-10)\/i) + (-4)\/2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 586, 1222, 1858?\n\"Answer: 636*s - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*f*h**3*r**2 - 2*f*h**3*r - 6*f*h**3 - 270*f*h**2*r**2 + 2*f*h*r - 2*f*h - 45*h**3 + 33*h**2*r wrt r.\nAnswer: -66*f*h**3 - 540*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*b**5*g + 1315*b**2 + 48522*b*g + 2*g wrt b?\nAnswer: 300*b**3*g + 2630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*b - 22. Let x be 0 - 3*b\/36. Let q = 446 + -447. What is the third smallest value in x, q, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300256582?\nAnswer: 2, 19, 23, 343543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-8)*(2 + (-14)\/3). Let p = g - -12. Suppose o - 54 = 3*z, p*o + 156 = 2*z + 412. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0602528 rounded to three dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Suppose 17 + 7 = 4*l. Let o(n) be the third derivative of n**5\/60 + n**2. Let q = 0 - -5. Give l*a(m) + q*o(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssyssyysirssrsssir. What is prob of picking 3 y and 1 i?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 796 = 766. Suppose r + 12 = 3*d. Let o(j) = j**3 + j + 6. Let x be o(0). What is the greatest common factor of x and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a - 22. Let q be y(2). Let p(u) = 58*u**2 + 16*u + 1. Let i(d) = -d**2. Let z(j) = q*i(j) + p(j). Factor z(h).\nAnswer: (8*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -2\/17, 0.1, 0.2339?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(130) + sqrt(130) + sqrt(130))*2 + 3*(sqrt(130) - sqrt(130)*-2))\/((sqrt(10) - (sqrt(50)\/sqrt(80) + sqrt(10)))*-5) + -2.\nAnswer: -2 + 68*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Let w be j(-1). Let k(n) = -10*n + 26. Let f be k(6). Let q = w - f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4962 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -211, -391, -693, -1117?\n\"Answer: -61*p**2 + 3*p - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 10*q. Solve 5 = -5*a - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2568 + 2078 = 49*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22201*b**4 + 77*b**3 - 6516648 wrt b.\nAnswer: -88804*b**3 + 231*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1300 - -2651\/2. Let p = n + -25. What is j in 0*j**3 - p*j**2 + 1\/4*j**4 + 0*j + 1\/4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 2\/13, 3, -4, -2\/11, -0.5 in descending order.\nAnswer: 3, 2\/13, -2\/11, -0.5, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*(d*d**(-31))\/d*d)\/d**7*(d**(4\/5)\/d)**(1\/30) assuming d is positive.\nAnswer: d**(-5101\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172687 or -172688?\nAnswer: -172687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232723.7 rounded to the nearest ten thousand?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9409 - -9413. Solve -p*x = -5*s - 10, 0 = 4*x + s - 2*s + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 2. Let f(r) = r. Let j(k) = -k**2 + 5*k - 1. Let t(b) = -5*f(b) + j(b). Give i(l) - 3*t(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*x - 11, x - 13 = -0*x + c. What is the remainder when 70 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/264)\/(((-10)\/6)\/(-1))*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/2, 0.5, -0.4, 2\/59 in descending order.\nAnswer: 0.5, 0.2, 2\/59, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-8) - 1*4. Let w(k) = -k**3 - 5*k**2 - 3*k - 3. Let r be w(x). What is the greatest common factor of r and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1633156 divided by 116654\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 + 23 + 81 - (9 + -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27126*d**5 + 31913*d wrt d.\nAnswer: -542520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3816 divided by 6.\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, e: 7, t: 2}. What is prob of picking 1 e and 1 w?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37.46436 tonnes?\nAnswer: 37464360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187238040 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**3 - n**2 - 5*n - 2. Let j(a) = -7*a**3 + 2*a + 1. Suppose -2*c - 4 = -0*c. Let s(p) = c*b(p) - 5*j(p). Let k = -3 - -2. What is s(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404720861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04138 + 4.36562. Let f = -0.007 + r. Let d = -0.4 + f. Which is the closest to -1\/4? (a) -1\/3 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 3746\/4 + (-15)\/10. List the prime factors of c + (-4 - 1) + -3.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 55\/(-10))*(-4 + (-464)\/(-110))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 5. Let z(q) = q + 2. Let n be z(-5). Let c(i) = -9*i + 1. What is the remainder when c(n) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 91*r**2 + r + 2. Calculate the remainder when t(-1) is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -1, -0.1, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.76, 0.3, 0.\nAnswer: -1.76, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 36, 103, 224, 417, 700, 1091, 1608?\n\"Answer: 3*h**3 + 10*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -4*l - 18. Let j(a) = -a**3 + 2 - 2*a + 9*a - l*a**2 + 3. What is the remainder when 9 is divided by j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -20. Sort -4, v, 2, -2.\nAnswer: -4, -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145)\/(-939600)*-4572 + (-2 - (-176)\/90)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/8, 1.9, -4\/3, 18\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -467, -437, -407?\n\"Answer: 30*s - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 8*m - 9. What is the remainder when f(-4) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -4c7453?\nAnswer: -4c7455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 13*l - 9. Suppose -l*z = 26 - 80. Suppose -5*b + 4 = -3*b. Solve -b*v = -a, -3*v = 5*a - 2*a + z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 373*q + 1401*q - 384*q + 934*q in the form f*q + b and give f.\nAnswer: 2324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 - 27 = 0. Suppose -q + 71*z - 66*z = -76, -4*q + 274 = -5*z. What is the greatest common divisor of s and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55212281 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -13. Let t be ((-3)\/(-5))\/(a\/20). Calculate the lowest common multiple of (t\/(-1))\/(15\/25) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/33438160 and 81\/27335?\nAnswer: 367819760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - f**5 - 5*f**4 + 4*f**4 - 135*f**5 - 268*f**5 + 222*f**5 + (0*f**4 + 3*f**4 - 2*f**4)*(-1 + 1 - f) - 14*f**5 + 0*f**5 + 2*f**5.\nAnswer: -196*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4639 is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/((-2)\/6). Round g to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -2.2. Which is the third smallest value? (a) 5 (b) g (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136))\/sqrt(8) + 2*sqrt(2448).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, -2, 0.1, -3966\/37, -1\/8, -5, -3?\nAnswer: -3966\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)\/y)**(1\/6) assuming y is positive.\nAnswer: y**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7934539 is divided by 3967262?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -439 - -448. Let b(y) = y + 8. Give b(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*(13 - 3). Suppose 0*u + 5*u - g = 0. Let -2*z + 4*z**2 + 0*z**3 - 4 + 3*z**3 - z**u = 0. What is z?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 0, 3*t + 0 = -2*m - 18. Let v(z) be the second derivative of z**4\/12 + 4*z**3\/3 - 5*z**2 - z. Let s be v(-8). Is s at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 11574655?\nAnswer: -11574657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1928, -3.4, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 7675126.\nAnswer: 92101512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1991\/57 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 3*n + 3. Let b = 32 + -34. Give g(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 8, -1\/1195, -1\/4?\nAnswer: -1\/1195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -7*g**5\/60 + g**4\/4 - g**3\/6 - 5*g**2. Let o(u) = -20*u**2 + 17*u - 3. Give 6*o(d) - 17*s(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 42882.\nAnswer: -2\/21441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29435, -29810, -30457, -31394, -32639, -34210, -36125, -38402?\nAnswer: -41059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19340927?\nAnswer: 43, 97, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-30)*5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + 1280. Suppose 0 = -5*y + t + 380. What is the greatest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3809 = 383*m + 26*m + 32*m + 2806 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 5271061*h**3 - 15813177*h**2 + 15813175*h - 5271058.\nAnswer: -(h - 5271058)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -83845.1824+-0.54366\nAnswer: -83845.72606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + s = 13, 0 = 2*d + 5*s - 2 + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -418 - -173. Let j = a - -1224\/5. Sort -2, -0.3, j in descending order.\nAnswer: j, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8188 and -93.65.\nAnswer: -766806.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725 minus 0.08?\nAnswer: 7724.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7207880110\/1410854427 - 90\/1616099. Let k = -98718 - -9575732\/97. Let b = k - j. What is the common denominator of -6\/17 and b?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lffllfultfbtfll. Give prob of picking 2 f and 2 l.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9. Suppose x + 2 = k, -3*j + 5*x + 2 = 7. Let h = -0.37 - -0.17. What is the nearest to 2 in j, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + r**2 + 4*r - 6. Calculate p(-6).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x. Let j(n) = -24538*n**2 + 64. Calculate z(j(g)).\nAnswer: -73614*g**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(3\/8)*h*h*(h\/(h**(-10)*h))\/h*h**(-6)\/(h*h**(3\/4)\/h) assuming h is positive.\nAnswer: h**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rror. What is prob of sequence rr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 347272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/(o**7\/o))\/(o**(-6)\/(o*(o\/(o*o**(2\/11)))\/o*o))*o**(-2)*o*o**(-1)*(o*(o\/(o*o**(2\/13))*o)\/o*o)\/o**(-4\/9) assuming o is positive.\nAnswer: o**(6575\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 6 - 8 - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(p**4 - 2*p**4 - 2*p**4 + (3*p**2 - p**2 + 2*p**2)*(-3*p**2 + 0*p**2 + 5*p**2)) as t*p**4 + k*p**3 + w*p**2 + i*p + c and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + sqrt(468) + -1 + 5 + ((sqrt(78)\/sqrt(6))**2*-5 + sqrt(13) - (sqrt(26) - sqrt(650))\/sqrt(2)))*-1.\nAnswer: -17*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -203, -222, -259, -320, -411, -538, -707?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 141422 + 8383 - 55297 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/559 - -553\/1118. Factor 0 - x*k - 1\/2*k**2.\nAnswer: -k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/15*3*4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001431069627 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6519 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 1524*d + 88992.\nAnswer: 4*(d + 72)*(d + 309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 4129 = j - 10*k, -4*j + 16510 = 5*k. What are the prime factors of j?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h + 40 = 33*h. Let n = -2 + 4. Let b be 0 + n - 7*1. Sort -3, b, h in decreasing order.\nAnswer: -3, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s + 310. Determine w(1).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f**3 + 11*f**2 - 11*f**2 + 3*f**3 - f**2 + f**2 + (2 - 2 - f**2)*(f - 2*f + 2*f) + f**3 + 3*f**3 - 3*f**3 - 2*f**3 + 2*f**3 + 2*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 2, z: 2, k: 4, i: 1}. Give prob of sequence zir.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 5 + 1 + (-4 - (17 - 26)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*r - 12, -3 = 3*a + 3*r - 12. Let s(n) = n**3 - 8*n**2 + 9*n + 7. Let o be s(7). Solve -5*w - u - o = 1, -2 = -w + a*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-18)\/15)\/3)\/(-1). Let z = -8479.1 + 8479. Sort 1\/7, 5, z, j in increasing order.\nAnswer: z, 1\/7, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1648 = 5*j + 6401, 0 = 3*g + 5*j - 4763. Differentiate 53 + 1655*k**3 - g*k**3 + 2*k - 2*k with respect to k.\nAnswer: 207*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 10 - 4 + y**2 to f*y**2 + m + s*y and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 3*q - 4*q**3)*((-118 - 113 + 21)*(-2*q - 2 + 2) + (-1 + 1 - 2)*(2*q - 3*q - q)) as p*q**3 + d + i*q**4 + x*q**2 + s*q and give i.\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12 and (2106\/(-16))\/(-9) - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24208.6ml?\nAnswer: 24.2086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*p + p + 28 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1015\/8526)\/((-159)\/9)*20\/25?\nAnswer: -2\/371","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/7052 and 99\/8.\nAnswer: 14104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686 a factor of 1557875078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7488) - -1*sqrt(7488)))\/(1*sqrt(100)*-6).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 5. Let c be 1\/(o\/(-6) + 0). Let g(z) = 20*z**2 + z. Let y be g(1). Solve c*f - 5*a + y = 9, 2*f + 3*a - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 0, -6\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11*-70\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 40259 - 4*q + 14*q**3 + 8*q + 40259.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 0 + -3 - (-4 + (-1 + sqrt(2057) - sqrt(2057))))**2.\nAnswer: 44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 495*s*z**3 + 2*s*z**2 + 25140*z**3 - 226763*z**2 + 2*z wrt z?\nAnswer: 2970*s + 150840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 21. Suppose g = -w - w + 2. Calculate the common denominator of (-4)\/(-8) + (w\/4 - 1) and -17\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -588, -1177, -1964?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 749*c**3*g**2*p**3 - 58*c**3*g*p - 10*c**3*p**3 + c**3*p - 11*c**2*g**2*p - 3*c*g**2*p**2 + 10*g*p**2 wrt p?\nAnswer: 4494*c**3*g**2 - 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -1\/120*v**5 - 5*v**2 + 0*v + 0 - 1\/6*v**4 + 5\/6*v**3. Let o(n) be the first derivative of j(n). What is o(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 130. Is 6\/30 + (-894)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3933*a + 1975*a = -1973*a + 30. Suppose 1\/6*o**a - 1\/3*o + 0 = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -19, -36, -71, -130, -219, -344?\n\"Answer: -k**3 + 2*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 241235 divided by -3\nAnswer: -241235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 252073 > 252071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**8\/84 - i**4\/8 + i**2\/2 + 3*i. Let g(k) be the first derivative of j(k). What is the second derivative of g(v) wrt v?\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -192. Suppose -o*u + 408 = -105*u. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*397030.9\nAnswer: -27792.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21017406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 96. Let o be (c\/30)\/(-2) + (-58)\/15. Let l be 5\/(-2) + 1102\/o. Round l to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(((-450)\/(-63))\/(-25))\/(((-4)\/104)\/1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -1\/2*g + 29 - 1\/6*g**3 + 1\/2*g**2. Determine n, given that i(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.14 + -14.7. Let u = v - 2.7. Let d = 0.06 + u. Round d to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(-6*-2*(sqrt(432) + sqrt(432)*-1 + sqrt(432))*5 + -3) + -4)**2.\nAnswer: -28800*sqrt(3) + 6220898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*u - 28472628*a + 28472629*a + 482, 0 = 4*u - 5*a - 74 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/5))**(-8)\/((n\/(n\/(n*n*n**12*n*n*n))*n)\/n*(n*n**(1\/4))\/n) assuming n is positive.\nAnswer: n**(-409\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -45*j**2 + 3*j + 4. Let h be o(-1). Let b = 48 + h. Let c(y) = -y**2 - 3*y + 5. Give c(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*b + 2)*(0 + 0 + 3*b + 0*b - 3*b + 4*b - 3*b - b + 3*b - 3*b + 2*b + 2*b + (1 - 1 - b)*(-3 - 4 + 5) - 3*b + 2*b - b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.672 rounded to one dp?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - -659. Let m = v - -260. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5441231, 10882478, 16323725?\nAnswer: 21764972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**2 - 24*b - 19. Let c(g) = 4*g**2 - 11*g - 9. Let i(f) = 7*c(f) - 3*x(f). Calculate i(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1058 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 3417 = -1549. List the prime factors of m.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21211044 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.73 - 12.43. Let t = f + 5.7. Let a = -139\/3 + 46. What is the biggest value in -4, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26720 - 17472. Calculate the greatest common divisor of 176 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2)*1*-3. Suppose -c + 6*c + 2 = -4*v, 2*v + c = 2. Suppose 0*n - 99 = -5*w + 4*n, -j*w = -v*n - 59. Solve -12 = 3*r, 3*r - w = -5*u + 4*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436922194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.064 - -0.064. Let g = x + 6. What is the closest to 2\/11 in g, 3\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*0.45\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 290, 378, 504, 674, 894, 1170, 1508?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-35)*5 + (-1785)\/(-1). Suppose -922 = -11*g + n. List the prime factors of g.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -1 + -1*(-7 - -2). Suppose -f = -8*u + q*u - 41, -u = -2*f + 36. Let w = 51 + u. Solve 4*m - 11 = w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.2 + 2.3. Let v = a - -8.8. What is the second biggest value in 13, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 324*u - 112832 + 93716 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3731\/8 - 3879\/8. Put h, -2\/7, 5, 2\/7 in descending order.\nAnswer: 5, 2\/7, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1878*o - 111433. Give z(-59).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9*-3 + -1. Let i(y) = -y + j - y + 0. Let c(g) = -3*g**2. Calculate i(c(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 29 = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 6 (c) 3 (d) 1049 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(1089) + sqrt(1089)*3))**2.\nAnswer: 7\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/11, 5, 10687?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60950154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -27. Suppose 12 = -3*r + 33. Let f = r - z. Solve -7*h = -f*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.2. Let x = -115.7 - -121. Let q = x - f. What is the nearest to 1 in 4, -3\/5, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 751 + -426. Let l be (-13)\/(o\/10) + 122\/5. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*g**5\/13 - 10174*g**4\/13 + 6172*g**3\/13 + 65176*g**2\/13 + 24432*g\/13 = 0. What is g?\nAnswer: -1018, -2, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i*i**6*i)\/i))\/i*(i*i**(-3\/4))\/i)**(-15\/8))**(6\/5) assuming i is positive.\nAnswer: i**(315\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 4, e: 1, d: 8, r: 1}. Give prob of picking 1 e, 1 k, and 2 d.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10861 - 1?\nAnswer: -10862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + 17 + -15 + (-14 - (7 - 10) - 2).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57, -63, -83, -123, -189?\n\"Answer: -u**3 - u**2 + 4*u - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16653, 16832, 17011, 17190, 17369?\n\"Answer: 179*j + 16474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 15. Which is smaller: f or 3\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0227 + -135.0227. Let u = o - -130. Let l = -0.4 + 0. What is the fourth smallest value in u, 0.2, l, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.4453 - 739.2647. Round n to the nearest 10.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*c = 0, 2*c + 14 = -48*k + 53*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 242821280 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 1578 = -1638 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1831*z + 1826*z - 248 = 0, 5*k - z = 1096. Which is smaller: 11 or k?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 9*j**4\/2 - 5*j**3 - 311*j**2 + 2758. What is the second derivative of z(n) wrt n?\nAnswer: 108*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 15*o**2 + 3*o - 4. Let k(r) = -42*r**2 - 9*r + 12. What is 6*k(f) + 17*w(f)?\nAnswer: 3*f**2 - 3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 2 p when four letters picked without replacement from mejeuepmememepjp.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b**2 + 0 - 2 + 30*b**2 + 56*b**2 + 11*b**3 - 9*b**3 - 2*b**4 in the form n + k*b**3 + w*b**4 + u*b**2 + v*b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -n - 18, 54*x - 9 = 51*x + 4*n for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + 6 + -1 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3426135\/7 = 489447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 944 = 3*p, 0*s + 2*s = 2*p - 624. Suppose -77 = -x - m, -5*x + x - m + p = 0. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-2)\/(-8)*(-2 - 2). What is the highest common divisor of 11 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2195 (b) -0.2 (c) -120\/1367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (3 - 2) - 0. Let t = 0 + v. Factor -2*m**2 - 2*m + m**t - m**2.\nAnswer: -2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -8625\nAnswer: 4\/8625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**3 + 7 + 7*b**2 + b**3 - 4*b**3 + 3. Let w be g(-7). Let s(x) = x**2 - 10*x + 2. What is the units digit of s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*w + 27*w - 65*w)*(2 + 8 + 1)*(1 - 1 + 2*w).\nAnswer: -286*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848542839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 21. Suppose -a*l + 633 = l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 2*j + 5. Suppose -2*h - 1 = 31. Let f(g) = -6*g**2 - 6*g + 16. Let i(u) = h*v(u) + 5*f(u). Find the second derivative of i(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7026 by 1171.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85085200 rounded to the nearest one hundred thousand?\nAnswer: 85100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40\/45*(-9)\/12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 437 = 4*k - 2*u, 0 = -2*k - 2*u + 216. Let o = k - 433\/4. Let s(n) = n**2 + 4*n - 7. Let z be s(-6). What is the second smallest value in o, z, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 3*q - 1. Let r be x(-4). Suppose n + r*s - 5 = -3*n, 2*s + 2 = 0. Solve 2*v - 6 + 2 = n*g, -v - g = -8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -28. What is the common denominator of h\/(-21) - 594\/(-28) and 47\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)*y*y**(-1\/3))\/((y\/((y*y\/y**(-1\/4))\/y*y))\/((y\/y**(2\/7))\/y))*(y**(-1\/2)*y*y**8)**(-3\/22) assuming y is positive.\nAnswer: y**(173\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from hbddbhaf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 71, 92, 111, 128, 143?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1284621\/1660 + 49\/415. Let b = 774 + h. Solve b - 3\/8*c - 1\/4*c**2 + 3\/8*c**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014363 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -66 + 50 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*c + 3*n, 5*n = 5*c - 14 + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-42)*(n**(-4)*n*n*n)\/((n*n*n\/(n**(-1\/11)*n)*n)\/n)*(n**(2\/3)*n)**(-2\/43)*n\/(n*n**1*n)*n\/((n*((n*n**(-5))\/n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-58418\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41757 - -755.393854.\nAnswer: -41001.606146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 184245?\nAnswer: -368490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5788?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 divided by 1?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 401512 and 64760?\nAnswer: 2007560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*r + 36, 0 = 5*g + 24*r - 23*r - 70. Solve 0*a + a + g = 5*w, -w = -2*a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 6960904.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3807*t**2 - t**3 - 3807*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436\/7 + -62. Let n = 21 - 26. What is the third biggest value in n, h, -4\/3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (44 - -336)*(3 - 2)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5\/4, 5, -0.6 in increasing order.\nAnswer: -4, -5\/4, -0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -2*g, 2*x = g. Calculate the greatest common divisor of 8 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 + 56\/16. Suppose 19 = -4*a + 19. Suppose -b = l*h - 24, -2*h + a*h - 6 = -4*b. Solve d + 0*d + h = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n - 2*n**3 + n**3 - 483 + 0*n**3 - 20*n**2 + 10*n. Let f be l(-21). Suppose 21\/4*t**2 - 21\/4*t**3 + f + 3\/2*t**4 - 3\/2*t = 0. Calculate t.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -5. Suppose 0 = 45*y - 46*y + 2. Which is the closest to y? (a) o (b) 4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - sqrt(104)*-1*6 - sqrt(104) - sqrt(104)) + sqrt(104))\/(sqrt(8) - sqrt(800)*1))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -34, 8, 102, 266, 518, 876?\nAnswer: 1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2973862 and 804.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29990 (base 10) to base 5.\nAnswer: 1424430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*y + 1339 + 1231 - 3824 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -8. Suppose 11 = 7*v - z. Let j = v - -14. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 0.6. Let n = -3.03 - -0.03. Which is the closest to 1? (a) l (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 1. Let y(h) = -421*h**2 - 4*h + 11. Let p(v) = 3*d(v) - y(v). What are the prime factors of p(1)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(208) + sqrt(208) + (sqrt(208) - (sqrt(208) + -1)) + -4 - (sqrt(208) - (-5 + sqrt(208) + sqrt(208) + 1))) + -5)*-2.\nAnswer: -18 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -3*d + 7*d + 90964. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 - (0 + 0 + -2). Suppose 71*b + q = 73*b. What is the highest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17958 + 2*q**2 - 17958 - 750*q to l*q**2 + n + s*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235996?\nAnswer: 2, 41, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 2. Let j(w) = w**2 - 9*w + 6. Let u be j(8). Let g be r(u). Is (0 - (-20)\/g)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 3*n**2 - 6*n + 2*n**2 + 7*n in the form g + r*n + q*n**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4540 and 2455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*u + 43, -5*k + 39 = 4*u - 7. Suppose k = b + b. Calculate the remainder when 65\/9 - (-16)\/(-72) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11471480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309098?\nAnswer: 2, 3, 7, 71, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.221413408 and 0.7?\nAnswer: 0.478586592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a kilogram in grams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(112) + (2*sqrt(112))**2).\nAnswer: -1344 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65505149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23706 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 409*x**3\/6 - 89*x**2 - 2819*x. What is the first derivative of i(u) wrt u?\nAnswer: 409","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(8)*-2) - sqrt(9))\/(sqrt(30)\/(sqrt(30)\/sqrt(3))).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let p(v) be the third derivative of 13*v**5\/60 + 11*v**2. Give p(z(o)).\nAnswer: 52*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, f: 1, d: 3, h: 1, n: 7, w: 3}. Give prob of picking 1 n, 1 s, and 2 d.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*22287\/(-3002) - (-10)\/4\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9370889?\nAnswer: 11, 851899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1588668 * 564.\nAnswer: -896008752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26971144.\nAnswer: 2, 3371393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 61. Let i(v) = -4*v + 124. Give 6*i(k) - 13*r(k).\nAnswer: 2*k - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -37*r. Let z(o) = -670262*o. Determine s(z(x)).\nAnswer: 24799694*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3505079*v**2 - 5369854*v wrt v.\nAnswer: -7010158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1073 or -3?\nAnswer: 1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -368, -592, -848, -1142?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0*x**2 + 8 - 15 + x + 18*x + 2*x**2. Is 34 a factor of v(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -4 - 16\/4. Suppose d = 7*a - a. Suppose -3*w - 6 = a, 5*l + 0*l + w - 138 = 0. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/24 + (-34)\/56. Sort -3\/8, 5\/4, w in increasing order.\nAnswer: w, -3\/8, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:00 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18120, 18149, 18160, 18147, 18104?\n\"Answer: -g**3 - 3*g**2 + 45*g + 18079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/(-33))\/((-2)\/6). Solve -i + 2 = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482613779081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 157, 342, 601, 934?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -10. Let q = 26 + -9. Calculate the remainder when q is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15250 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 111. Let j = -91 - g. Let b be 1*(-1 - -2)*8. What is the highest common factor of j and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494021, 494093, 494165, 494237, 494309?\nAnswer: 494381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 35*b = 32*b + 9, 0 = -2*d + b - 3. Solve -5*h + 22 - 17 = 0, d = -2*o + 5*h - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5498 = -5468 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-62)\/1519)\/(12\/7).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -417 divided by 35\nAnswer: -417\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -655, -5, -1\/5, -3?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + (-26)\/(-13) - -6. Let d = 4 - 1. Solve z = -c + d*p + 16, -p - 18 = 2*c + 3*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-76)\/10)\/(8\/(-20)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**2 + 7*q**2 - 7*q**2)*(-q + 0 + 0) + 3*q + q**3 - 3*q - 306*q**2 + 135*q**2 - 53*q + 5*q**3 + 175*q**2 as p*q**3 + s + f*q + z*q**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 - 1118804*z**2\/3 + 2237644*z - 3356484.\nAnswer: -4*(z - 3)**2*(z + 279707)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6146)\/840 - (-16798)\/2270.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**8*v)\/v)\/(v**(5\/6)*v))\/((v\/(v\/v**20))\/(v\/v**11)) assuming v is positive.\nAnswer: v**(-137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/1 + -10*(-255)\/(-924). Let w = 1\/22 + m. Find y such that 4\/7*y - 2\/7 - w*y**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 12. Let m be 5\/i - (-49 + 1). Let d = m + -8. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.26 and -0.22.\nAnswer: -0.0572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y**(4\/9)*y)*y**(2\/9)\/y assuming y is positive.\nAnswer: y**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -561212600*v + 399907864.\nAnswer: -561212600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 34. Let u be y(-9). What is the highest common factor of u and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + 5)**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*c + 163*c - 3*a - 21 = 0, c + 6*a - 3 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4 - (0 + 16) - (-18 - -25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-3) + 1 + 5. Suppose 4*b - 1839996 = 4*r, 23349 - 943345 = -2*b + m*r. Round b to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2084, -4112, -6036, -7802, -9356, -10644, -11612?\n\"Answer: 9*f**3 - 2*f**2 - 2085*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 2*s. Let o be (6\/7)\/((-27)\/(-14)). Which is the third smallest value? (a) -3 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/753 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-14)*t)\/(t*t**(-18)))**32)**(-1\/7) assuming t is positive.\nAnswer: t**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*5\/(10\/(-8)). Suppose -2*t + 6*t - 28 = 0. Let g = 8 - t. Let k(l) = -2*l**2 + 4. Let w(v) = -1. Give a*w(q) + g*k(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*n**2 + 319*n**2 + 321*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13.8, -659, 6\/11, -0.05?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 118520000 rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*w = -90, 5*k - 150 = -3*w - 0*w. Let b(z) = z**2 - 25*z - 46. Calculate the remainder when k is divided by b(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 48*d + 951. Calculate x(-21).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -1 + (-20)\/6. Which is the nearest to n? (a) -3 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 - 2*x - 7. Let k be l(-5). Suppose -7*c + k*c + 8 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15325\/72884 - -1\/3836. What is q in -c + 14\/19*q**2 + 10\/19*q = 0?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 328b3?\nAnswer: 328b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.0641 litres to millilitres.\nAnswer: 188064.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2679*l - 2650. Determine i(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(304)*-4 - (5*(sqrt(19) + 0 + sqrt(19)) + sqrt(19)))*-2)**2.\nAnswer: 216*sqrt(19) + 55408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -346, -370, -414, -484?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 86\/420 + (-15)\/(3150\/28). Let l(h) be the first derivative of -6 - b*h**4 + 2\/7*h + 1\/7*h**2 - 2\/21*h**3. Factor l(p).\nAnswer: -2*(p - 1)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let x = -4.26 + 0.46. Let q = x + 4. Which is the nearest to -1? (a) 2 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04974 and 0.3029.\nAnswer: -0.015066246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6003*w**3 - 7130*w**2 wrt w?\nAnswer: -36018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9822870 divided by -6\nAnswer: 1637145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/3)\/5*-3)\/((-30)\/135)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. What is the second derivative of 3*g + g**3 - g**r + g**4 wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1377)*2 - sqrt(1377)) + 1 + 3*sqrt(1377) + 3 + 4)**2.\nAnswer: 576*sqrt(17) + 22092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/36*3*(-3)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 173*m - 7313. Give z(76).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*n - 50, 5*i = -22*n + 19*n + 18. Suppose -2*f = -i*f + 64. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3127725?\nAnswer: 3, 5, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 4*g**2 + 8*g + 35. Let d be b(-3). Suppose -6*f + 3*f - 23 = -d*o, -3*o + 2*f + 32 = 0. Solve k - 4*k = -5*i + o, -i = 3*k - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-4))\/(9*16\/(-288)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2860 divided by -143?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 29*w - 31*w + 5, 19 = -5*w - 2*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 16) to base 6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 843758303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*p + 7 = 0, -261*d = -274*d - 3*p + 61 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 0*n**5 + 2*n**5 + 2*n**5 + 2*n**5 + 4*n**5 + (3 + 2 - 4)*(0*n**5 + n**5 + n**5) + n**4 - n**4 + n**5 - 2*n**5 - 2*n + 2*n.\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 4*k + 6. Let l be a(-5). Suppose -m = 4*p + 1, 5*p - m - l = -0*p. Solve -5*n + 5*c = 0, 3*n + c - 25 + 9 = p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(195\/10)*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*x - 61, 0 = 3*a - 2*a - 3*x - 25. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10597337 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -68*g**3 - 2*g**2 - 2*g + 2. Let s(d) = 135*d**3 + 5*d**2 + 5*d - 5. Determine -5*i(r) - 2*s(r).\nAnswer: 70*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*o + 37, -425*z - 14*o + 108 = -421*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b - 207. Calculate u(-29).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 14. Let p be 4*(-1 + 0\/2). Let o be g(p). Suppose 2*j - 1466 = -3*j - v, -2*v = o*j - 588. Is j 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 4362165?\nAnswer: 3, 5, 31, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 25. Let q be m(0). Let l = q + -13. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 368*b - 11. Let z(d) be the first derivative of -5*d - 7\/3*d**3 + 26 + b*d**2. Let q(f) = 4*f**2 + 2. Determine -5*q(t) - 2*z(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, 40, 201, 436, 751?\n\"Answer: s**3 + 28*s**2 + 2*s - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 3.86.\nAnswer: -11.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8883 is divided by 4403?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 3*z**2 - 6*z**2 - 6 - 3*z**2 - z**3. Suppose 0 = -3*o - 0*o + 45. Suppose 5*r - 2*r = -o. Give u(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 25*c - 146*c + 13 + (c - 3*c + c)*(3 - 3 - 1).\nAnswer: -170*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -831*t + 835*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1770814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d + 9444 = 5*q, 5*d - 3*q - 47332 = 0. Let n = -75613\/8 + d. What is the common denominator of n and -103\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from {q: 1, h: 3, a: 2, k: 3, w: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 770655657 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57 - 63 + 21*f - 44 + 19 wrt f.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 10 + 5. Let f = -9 - l. Let i = f - -4. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(8) + sqrt(128))*5)\/(sqrt(32)\/sqrt(128))*3.\nAnswer: -900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/5 + 18*s**2 + 88*s\/5 = 0. What is s?\nAnswer: -44, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2222 (base 3) to base 10\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977973.\nAnswer: 3, 41, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.1 (c) -181\/4 (d) -0.44 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 + 4. Let v be c(3). Let f(a) = -a**3 + 5*a**2 - 3*a - 4. Let h be f(4). Let m = 3 - h. Sort m, 2, v in ascending order.\nAnswer: v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = y + 2*i, 3*y + 1 = -i + 5. Suppose -c - 71 = -y*c. Let g = c + 118. What is the remainder when 139 is divided by g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 3*b + 2*b**3 - b**2 + 4*b**3 - b**3. Let v(z) = -4*z**3 + 2*z**2 - 2*z. What is 3*f(s) + 4*v(s)?\nAnswer: -s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 70*u**2 + 27*u - 117. Give r(-35).\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 165, 251, 339, 429?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73375, 73303, 73219, 73117, 72991?\n\"Answer: -d**3 - 65*d + 73441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7719456 and 23997.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(0 + 0 - 2 + (-5 + 3 + 0 - 1 + 2 - 4 + (4 - 4 + 1)*(-1 + 3 - 4) - 7 + 10 + 9)*(-2 + 1 + 0)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42746?\nAnswer: 2, 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13326, 20162, 27024, 33924, 40874, 47886, 54972?\nAnswer: 62144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 144*s - 144*s - 6 - s**2. Let v(m) = -10*m**2. Determine q(v(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4004899 is divided by 3034.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 534141314 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5303001 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h. Suppose 5 = -4*s + 1. Let c be (-1)\/(-2) + s\/2. Solve h*a - 3*a - 12 = c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 3\/5 (c) -0.01 (d) 2 (e) -2 (f) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + n)*(2 - 1 + 1)*(4 + 3 - 3)*(3 - 2 + 0).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78*6\/36 - -1. Solve 9*l = -v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-123)\/(-656)*(-356)\/(-66) and -73\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 0*x**3 + 4*x**3 - 3*x**3 - 3 - 3*x**3 - 2*x**2. Let w be t(-3). What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - -2.92. Let v = -131 - -56. Let y = 74.8 + v. What is the second smallest value in y, g, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*u + 7584 = -10536 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 6)*((-742)\/8)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17003 - -103638. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 7*v**2 + 10*v - 1. Let x = 75 - 80. Let n be u(x). Which is bigger: n or 2\/253?\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:48 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7*10\/(-18704)*(-18)\/45*8\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 6) + -11 + (-2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 - -111. Suppose -5*w + 10 = p*d, 0*d - w = -3*d + 6. What is the first derivative of -28*h**d + 3341*h - 3341*h + 4 wrt h?\nAnswer: -56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 42*m - 50094. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 1103*t - 4400. Calculate h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.64 - 33.64. Let t = -36.875 + -0.125. Let d = i - t. Which is the second biggest value? (a) -4 (b) 11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 33. Suppose -3*h + 2*h = n - l, 0 = -2*n + 2*h + 4. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22275332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 96\/(-30) + 104\/220.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*a + 12. Is (42\/(-28))\/(a\/(-44)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 3*b - 10. Let g(u) = -7*u**2 + 8*u + 31. Calculate 3*g(a) + 8*w(a).\nAnswer: -5*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(704)*4 - sqrt(704)) - sqrt(11) - (2 + sqrt(44)).\nAnswer: -2 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*((-28497)\/(-14))\/(-23). What is the greatest common factor of 1357 and l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*m**2 - 2*m + 335?\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 3*d + 2. Let n be l(-4). Let c = 59 - n. What is the tens digit of c + 0 - (-2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -777 and 0.049722.\nAnswer: -776.950278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-370)\/12*(-254)\/(-20). Let v = j + 391. Find the common denominator of v and 49\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.06 + 21. Let l = -1 - c. Round l to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 3. Let j(z) = -z - 1. Let c(y) = -h(y) + 3*j(y). Let f = -7 + 9. Let d(n) = -f*n - 17 + 17. Give c(d(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and (2640\/9)\/(-5)*(-9)\/6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 - 5)*(-8*b + 25 - 25 + (1 - 6 + 3)*(2*b + b - 4*b)) to s*b + a and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -1. Suppose 0 = -2*l - 3 - 1. What is the second biggest value in -3, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h - 26. Is x(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/490)\/((-7)\/140).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 0. Suppose z*p = -5*l + 4*p + 19, -2*l = 4*p - 14. Solve 1 = -o + l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/((c\/(c\/c**(2\/3)))\/c*c))**(-50)*((c**(-1\/6))**(-21))**(-50) assuming c is positive.\nAnswer: c**(325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12026 is divided by 199.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(384) + sqrt(384))\/sqrt(12)*-3 - (0 + sqrt(72) + -2 + (sqrt(72)*-1*3)**2)*5.\nAnswer: -3230 + 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**3\/9 + 1389896*v**2\/3 - 120745129856*v + 3621936938880 = 0.\nAnswer: 30, 521196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 12*s - 2*k = -7, 0 = 5*s + 4*k - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = a. Calculate the least common multiple of 2\/(-3)*a*-15 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/42 of a week?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 4, w: 7}. What is prob of sequence www?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 15 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l**2 + 197*l + 16. Determine w(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(1 + (-192 - -2)). Suppose -5*u = -p - j, -u + 28 = -2*p - p. Calculate the smallest common multiple of 35 and u.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -13*a**7\/14 + a**4\/6 + 58*a**3\/3 + a**2 + 183*a. Find the second derivative of z(m) wrt m.\nAnswer: -780*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g + 76*g + 8570*g**2 - 8567*g**2 + 558 = 0. What is g?\nAnswer: -31, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 + 43 + -65 + -47?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (-1 - -2) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2. Let h(m) = -8892*m. Determine y(h(t)).\nAnswer: 395338320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6653171?\nAnswer: 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -7. Suppose -46*n - 68*n = -3762. Suppose n = 4*i - t. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269982 by -9.\nAnswer: -29998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 8*y + 18 = 5*n, -4*y - 7*n + 36 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -9, -5 in ascending order.\nAnswer: -9, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -119 and 0.2301.\nAnswer: -118.7699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -16. Suppose 4*t = 5*g - 88 - 28, g = p*t + 87. Let l = t - -34. Solve -l*o + 2*n - 26 = 0, -3*o - 2*n - 6 = -0*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 11:38 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l + 18. What is the remainder when ((-2)\/4)\/(l\/276) is divided by 3*25\/45*-3 - -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-10*6\/24). Suppose l*c - 2*t = 22, 4*c + 3*t = 4*t + 59. Calculate the highest common factor of 88 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*n - 4293 = 9649 - 119 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 501274 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((1\/(-9))\/(22\/(-561)*-17)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-7*1\/(42\/(-12)). Suppose 2*p + 5*a - 454 = -l*p, 5*a + 590 = 5*p. Calculate the remainder when p is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.012\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 9:39 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 187920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -757*-12.84.\nAnswer: 9719.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19246 divided by 21933?\nAnswer: 19246\/21933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 7}. Give prob of sequence mk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q**2 - 16*q**2 + q**2.\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*d - 33 = 125*d. Let t(i) = 12*i - 16. Let p be t(d). Is (1 - 6)*p\/20*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = 4*i, -2*i = -n + 2 - 0. Let j be 9\/(3 + 9\/n). Let s be (-4)\/6 - ((-32)\/j - 6). Solve -o + 5*w + 2 + 10 = s, -o = -4*w - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = 23 - 89 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v**5\/5 - 3*v**4\/2 - 8*v**3\/3 - 69. Determine l, given that f(l) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:28 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 248*q - 177*q + 0*q**2 - 89*q**3 - 69*q.\nAnswer: -89*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8579549*g**6 + 10*g**5 + 38079*g**2 - 439*g wrt g?\nAnswer: 1029545880*g**3 + 600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(3596\/(-5945)))\/((-65)\/(-104))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 909*m + m**3 - 909*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 1. Let s(m) = 4*m - 2. Let p(l) = 21*d(l) + 6*s(l). Let g be p(-3). Solve g*k = -2*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93.831 - 0.169. Let n = l + 93.5. Let r = -0.3 - 1.7. Which is the nearest to r? (a) 5 (b) n (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6418830?\nAnswer: 2, 3, 5, 11, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(1617\/(-84))*35?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 3, h: 1, n: 5, s: 5, g: 4}. What is prob of sequence hzjj?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g + 1. Let f be z(-2). Let i(w) = -2*w. Let a(p) = -p. Let c(s) = f*i(s) - 15*a(s). Let u(b) = -9*b - 16 + 9 + 8*b + 7. Calculate u(c(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11022122 (base 4) to base 7\nAnswer: 115436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6768)\/7614)\/(7\/(126\/(-8))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 45*p**3 + 5*p**2 + 5*p - 5. Let h(k) = 93*k - 470. Let b be h(5). Let t(w) = -22*w**3 - 2*w**2 - 2*w + 2. What is b*t(d) - 2*r(d)?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.584565 centimeters?\nAnswer: 75845650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 7. Let d be (2 + 28\/(-8))*6. Let x be v(d). Suppose 4*c - x*f - f = 100, -3*c = -4*f - 68. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b489 (base 12) in base 14?\nAnswer: -7265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48944\/5 - 9788. Sort 8, s, 3 in ascending order.\nAnswer: s, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 - 4*u**3\/3 + u**2\/2 + u + 85060. Suppose 2*j - 1 = y + 5, 5*j - 5*y = 10. Determine l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33+7816\nAnswer: 7783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(-2\/149)*(w\/w**12*w)**(-4) assuming w is positive.\nAnswer: w**(11919\/298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.98156.\nAnswer: 0.49078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6987\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 divided by -7977?\nAnswer: 784\/7977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 18. Let h(z) = z + 9. Let c(t) = 9*h(t) - 4*o(t). Let w be c(12). Let l be 1\/(-1 + 24\/w). Solve -2*b + 3*i + l = 0, 3*b + i - 19 = -3*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-10 - -3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -386*u**3 + 2*u - 4*u**2 - 2 + 823*u**3 - 490*u**3 to y*u + v + s*u**2 + w*u**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l**2 - 2 + 0 + 0*l**2)*(-2*l - 3*l + 7*l) to the form v*l**3 + o*l + p*l**2 + d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*o + 1366 = 6091 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 172 and 362 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (-1278)\/45)*(-3)\/(819\/70)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.3, 3 in decreasing order.\nAnswer: 3, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 27836*r + 2338262. Give g(-84).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/14 of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.21 - 1.209869. What is u rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*b - 8 - 19*b + 1 - 24*b to the form u + i*b and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110121 + -120001?\nAnswer: -1000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*w**2 + 2816*w**2 + 837*w**2 + (-3*w + 0*w + 5*w)*(3*w + w - 7*w) in the form b*w**2 + t + f*w and give b.\nAnswer: 3764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4373.343 kilograms?\nAnswer: 4373343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.3 to the nearest integer.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21 = 5*v + 18, 5*l = -v - 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 197*j**2 + j. Let p be q(1). Let o = 303 - p. Suppose -4*a - 6*g + 89 = -g, 2*a = -3*g + 45. Calculate the highest common factor of a and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 4864.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 - v + 7. Let i = 71 + -77. Determine w(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/23115768 and 33\/13484198?\nAnswer: 161810376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6019, -9248, -12487, -15742, -19019?\n\"Answer: -d**3 + d**2 - 3225*d - 2794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(2\/41))\/p)\/p)**(2\/31)\/(p**25)**(-29\/3))**(6\/17) assuming p is positive.\nAnswer: p**(1842434\/21607)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1 - 5 = 0. Suppose 2*u + 5*o - 75 = 0, -3*u + 4*u = -5*o + 50. Let h = -124\/5 + u. Which is the nearest to v? (a) h (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:17 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0 + 4*t**2 + 5\/24*t**4 + 1\/3*t**3 - 39*t. What is z(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4 - 11*g**3 + 15*g**3 - 4*g - 2*g**3. Let a(c) = 4*c**3 - 7*c - 7. What is -4*a(y) + 7*d(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 + -182. Let c be (w\/((-30)\/25))\/(3\/(-11)). Are c and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105836485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91409800 rounded to the nearest 1000000?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**3 - 3*q**2 + 3*q - 2. Let s(n) = 4*n**3 - 3*n**2 + 3*n - 1. Let l(o) = 2*o + 8. Let t be l(-7). Let v(h) = t*s(h) + 5*x(h). What is v(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 191633.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 218\/41, 4, -0.1, 25, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.133 - -1.867. What is the third biggest value in -3, o, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(720) - (2*sqrt(720) + sqrt(720))**2).\nAnswer: -6479 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1377 (b) 12 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2214)\/41 - -28 - (-1)\/(2\/6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275112?\nAnswer: 2, 7, 40627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25805 and 1088490?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2570 - 2566. Calculate the remainder when 27 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10284.47749 and -12440.\nAnswer: -2155.52251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 373262 and 7736?\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6328*l**5 - 3081*l**5 - 2687*l**5 + (-l**4 - 1 + 1)*(3*l + 3*l - 4*l) + 2*l**5 - 4*l**5 + 0*l**5.\nAnswer: 556*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551580569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4089614?\nAnswer: 2, 761, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let j(x) = x**2 - x - 1. Let s(y) = -12*y**2 + 2*y + 2. Let t(h) = 2*j(h) + s(h). Determine t(o(g)).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1984 + 1983.173. Let r = b + 0.427. What is the closest to 0.1 in 2, 0.2, -0.09, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -12 + 52. Let x(o) = 15*o**2 - 52*o + 38. Let i be x(4). What is the greatest common factor of r and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-24 - -10 - -10) + 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958.9041kg to micrograms.\nAnswer: 958904100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 176790645.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*-6 - (4 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 101*m + 43. Let w(r) = -51*r - 22. Let f(j) = 6*d(j) + 11*w(j). Let o be f(4). Suppose 4*p - 268 = -2*l, 0 = -3*p + 2*l - l + o. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3528)\/(-198) - 18)*-22. Solve 4*x - 9 = -5*m, 4 - 10 = -z*x - 2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -759 = -5*j + 4*d, 2*j = 6*j - 5*d - 600. Let n = 3 - -90. Calculate the greatest common divisor of n and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(-4\/7)\/m)\/m)\/m)\/m)**(-44)*m**0\/(m\/((m*m**2*m*m)\/m)*m) assuming m is positive.\nAnswer: m**(1114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1 - 87\/(-29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-2 + -1 + 0. Let t = g + 8. Suppose -t*q - 165 = -6*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6492\/541)\/(-1 + 16\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.34845 rounded to 1 dp?\nAnswer: 104.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in -1.4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-4 + 7 + -3))\/(-2). Solve u = -3*y + m - 1, 2*y + 2*y + 14 = -5*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -j + 3*o, 0 = -2*j + 3*o + 3 + 11. Let q = 143 + -67. Is j\/(2 - 148\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5*0.0069\nAnswer: -0.02415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 25. Calculate the remainder when y(14) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57726*p**6 + 2*p**4 - 4*p**3 - 3*p**2 + 2430*p + 3 wrt p.\nAnswer: -6927120*p**3 + 48*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 3*r - 3*r + (-4*r + 6*r - 4*r)*(4*r - 4*r + 2*r) + 2 - 2 + 2*r**2 + (6*r - 3*r + 0*r)*(-3*r - r - 2*r) to t*r + c*r**2 + f and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 518430\/13 - 1555160\/39. Suppose m*v**2 + 1\/3*v**3 + 0 + 7*v = 0. Calculate v.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111011010001 (base 2) in base 4?\nAnswer: 20323101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 35632*q**2 - 142552*q - 142560.\nAnswer: 2*(q - 17820)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -36, -38, -38, -36?\n\"Answer: s**2 - 7*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -j - 4*x, 3*x + 228 = 2*j - 237. Suppose -j = z - 4*z. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*q**2*u - c**2*q*u**2 - 2*c**2*q*u + 87*q**3*u**2 + 18*q**3*u wrt u.\nAnswer: -2*c**2*q + 174*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 485 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*v - 293*v + 944 = -314 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7))**2*3 + -2*sqrt(7) + 4.\nAnswer: 16*sqrt(7) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 35. Suppose -w - h = -42. Let c(x) = x**3 - 11*x**2 - x + 1. Give c(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136228305727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 17 - 1. Suppose -4 = -x + u. Calculate the greatest common factor of 143 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150068, 300130, 450202, 600284, 750376, 900478?\n\"Answer: 5*p**2 + 150047*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5295 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 3. Differentiate 76*u + 4 + 5*u**t - 76*u with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6213, -6212, -6211, -6210?\nAnswer: -6209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.115, -1, 3?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 - 147. Suppose 9*f - 5*f - 2*c - b = 0, 4*f = 4*c + 8. Solve 0 = 3*d - f*g, -2*d + 7*d - 4 = 3*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*3\/2*928\/(-588). Let v = 3179\/784 + g. Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 6*d**2 + 5*d + 3. Let n be 10\/(-45) - (-166)\/18. Let y(v) = -2*v + 11. Let t be y(n). List the prime factors of q(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9517.991t in micrograms?\nAnswer: 9517991000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101408 + 1030*m**2 - 101408)*(3*m - 6*m + 2*m).\nAnswer: -1030*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -621 + 625. Let t = -13 - -18. Suppose v - 3*v = -2*c, -v = t*c. What is the nearest to c in -3, 2\/13, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:25 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*(-33)\/(-1). Let l = 62 + v. Suppose i - 2 - 1 = 0. Solve l = -i*w + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6809 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161656628 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**3\/3 + 3*f**2\/2 - 6*f + 4. Let n be r(-5). Factor 4*h - h**5 + 6*h**n - 6*h**2 - h - 2*h**5 + 0*h.\nAnswer: -3*h*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2690380 divided by -61145\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + 8. Let l = 43 + -25. Calculate the remainder when m is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -2*k**3\/3 - 14*k**2 + 7*k. Let a be o(-9). Calculate the greatest common factor of a and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2168 + 3925. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3 - 5) + 0. Let o = -4 - m. What is the least common multiple of ((-2)\/(-5))\/(o\/(-10)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80808 and 553098.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -16. Is 10 a factor of 178\/9 + b\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*v - 0*v - 4*u, -5*v = -3*u + 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27815630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -28*g - 181. Give w(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 11*t**9\/72 + t**8\/336 - 3*t**5\/20 - 3*t**3\/2 + 66*t**2. What is the third derivative of q(z) wrt z?\nAnswer: 9240*z**3 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -21, -38, -59, -84, -113?\n\"Answer: -2*j**2 - 7*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 1:20 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 348583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-117)\/102) - 9\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.357 - 0.143. Which is the closest to 0.7? (a) 3 (b) -0.3 (c) -0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(2*x - 4*x + 4*x) + 12 - 12 - 8*x - 126 - 2*x + 233 - 136.\nAnswer: -8*x - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-7 + 37) - 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -5\/2, -8096, 1 in decreasing order.\nAnswer: 1, -5\/2, -57, -8096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 529385269*f**2 - 266565173?\nAnswer: 1058770538*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o + 1022. Calculate c(-46).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80)*-1 - sqrt(80) - sqrt(80))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17556563753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11 = 1. Suppose -2*h - 5*s = -h - 14, -j*h + 98 = -s. What is the greatest common divisor of h and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-374138400)\/(-128) + 2 + (-9)\/4. Let k = i - 2023956. What is k rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*((-21)\/84)\/(9\/(-216))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189930.\nAnswer: 2, 3, 5, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4 - 45*p**3 + 600*p**2 + 640*p = 0.\nAnswer: -16, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204493?\nAnswer: 17, 23, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 229956 and -6.\nAnswer: 229950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 275 - 274. Let u be (-3)\/(-12)*o + 4028001\/(-4). What is u rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -40*y**3 + 32*y**2 - 5*y + 4. Calculate u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)*(t\/(t\/t**(-2)))\/t)\/((t*t**(-2\/3)*t)\/((t**4*t)\/t)))\/(t**0*t*t**6*(t**(1\/10)*t)\/(t\/t**(1\/5))) assuming t is positive.\nAnswer: t**(-349\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 565*s**4 + 183*s.\nAnswer: 6780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:27 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2376 + -0.0194. Let i = 0.1965 + v. Round i to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**3 - 20*g**2 + 32*g + 6. Let i(k) = 5*k**3 - 20*k**2 + 34*k + 7. Let h(x) = -6*i(x) + 7*s(x). Factor h(z).\nAnswer: 5*z*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*f - 4345 + 20515 = 0 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -0.012 (c) 17 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1230 by -410.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -585b3?\nAnswer: -585ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (19070\/3 - 1) + (-8 - (-44)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**6\/30 + 5*o**4\/12 - 4*o + 1. Let c(j) be the first derivative of w(j). What is the third derivative of c(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147, -330, -597, -942, -1359, -1842, -2385, -2982?\n\"Answer: w**3 - 48*w**2 - 46*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045555 rounded to 6 dps?\nAnswer: -0.000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/(6\/(-36)). Suppose -q*d + 3266 = 9666. What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + f - f + 2*f - 2*f + f + 0*f - f - 1 + 1 + (-2 + f + 2)*(-5 + 3 + 1) - 2*f - 2*f + 2*f - 4*f + 2*f + 0*f)*(232*f - 768*f + 255*f).\nAnswer: 1405*f**2 - 4215*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6608, -13256, -19904, -26552?\nAnswer: -33200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let s(j) be the third derivative of -j**4\/4 - j**3\/2 - 3*j**2. Let f(x) = -6*x - 4. Let d = -6 + 3. Let i(y) = d*f(y) + 4*s(y). Give p(i(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11708 and 808?\nAnswer: 2365016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 1. Let c(q) = -7*q**2 - 2*q + 5. Let z be 0 - 2 - (2 + -5). What is z*c(n) - 6*y(n)?\nAnswer: -n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -9.1. Let t = 48 - 43.1. Let i = z - t. Sort -3, 5, i.\nAnswer: i, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -330*p + 1. Let c be a(-1). Suppose -2*n = -59 - c. Let m = n + -112. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -520?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -8b1?\nAnswer: -8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:11 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820938903.\nAnswer: 3, 273646301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614110 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: Suppose -27*w + 14*w = 832. What is w rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 128 = 3*m, 0 = 5*m + f - 117 - 59. Suppose 3195 + 2657 = 154*x. Solve m*u - x*u = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 5 + 2 - 11 as i + h*w + c*w**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4*53950\nAnswer: -215800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30879 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3473 - 3473. Let n be (2\/3)\/((-10)\/(-255)). Which is the closest to x? (a) -0.1 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2. Let j(o) be the first derivative of -3*o**2\/2 + 5. Determine j(z(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:37 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.089, 2\/3, 5\/3, 1\/2 in descending order.\nAnswer: 5\/3, 2\/3, 1\/2, 2\/15, -0.089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 294189 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: What is the product of -0.74 and 0.15?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*h**3 - 382*h + 14948?\nAnswer: -30*h**2 - 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*g - u, -7 = -5*g + 5*u - 157. Let f = -25 - g. Suppose -5*k + 2*k + 3*j = -3, 0 = 4*j - 8. Solve 2 = -k*w - f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84498 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3075581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 784642 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x**3 - 4*x**2 + 35*x**2 - 46*x - 18*x**2 - 11*x**2 - 5*x**3 as m*x**3 + b*x**2 + c + q*x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.4 + -0.9. Let o = p - -6.5. Let k = -32 + o. Sort -3\/8, k, -2\/11 in descending order.\nAnswer: -2\/11, -3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3195 and 115091?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-54))\/((-12)\/(-12)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/19? (a) 0.4 (b) 2\/9 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -472440 to the nearest 1000.\nAnswer: -472000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 8) + 4 + -17\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -10. Suppose 3*i - g = 2. Let -2*r**2 + 2*r**2 - i*r**3 + 0*r**2 = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6346 is divided by 2315?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/3 + 11776*y\/3 + 34668544\/3 = 0.\nAnswer: -5888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 31*u + 3592. Give l(-116).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 3*f**8\/56 - 11*f**5\/60 - 15*f**2. What is the third derivative of n(l) wrt l?\nAnswer: 1080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/331 - -20279\/2648. What is the common denominator of m and 29\/642?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965248 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 6. Let v(t) = 5*t + 5. Let u(z) = 4*a(z) + 5*v(z). Suppose 0 = 5*d - 3*d + 4. Let f(x) = -10*x - 11. What is d*f(c) - 22*u(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17078157.8599386 + 17078156. Let k = 1.86 + b. What is k rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -9) + -33 + 2 + (-7 - -10).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v - 7. What is the remainder when v is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**4 + 3*z**4 - 56*z**4)*(3 + 1 - 3).\nAnswer: -47*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8038587 is divided by 126?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3430 - -3459.21. What is w rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 - 8 + 2*t**3 - t**3 - 3*t**2 - t**2 + t. Let j be m(0). What is the tens digit of 103\/4 - (-6)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 11000121122?\nAnswer: -11000121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -382, -499, -576, -619, -634?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 + 3*z - 4. Determine f(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1399549.\nAnswer: 1\/1399549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let l be 2 + (-2 - 0)*b. What is the common denominator of 93\/48 + (l - -2) and 57\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 220. Let a(p) = -7*p - 1141. What is a(c(x))?\nAnswer: -14*x + 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92450 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 + 0 + 0*p**4 + 2*p - 5*p**4 - 4*p**2 + 1 - 4*p**2 as o*p + i + a*p**3 + n*p**2 + v*p**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3090, 6658, 10266, 13914, 17602, 21330?\n\"Answer: 20*d**2 + 3508*d - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31798.7 + -31799. What is the closest to -3 in t, -22, -2\/7, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 6, 19, 48, 99, 178, 291?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in 4, 14.8, -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n + 2. Let h be l(2). Suppose 5*t - 6 = 9. Solve 3*j = -2*z - 2*z + t, 3*j - h = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-15) - (-58)\/(-145). Solve -5*l + u = -t - 3, t + 3 = -l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.02 rounded to zero decimal places?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 50, 104, 178, 272, 386?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 30181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8\/(-2) - (7254\/124)\/(-13).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o. Let s = 50 + -48. Let x be u(s). What is the second derivative of 24*m**5 - 746 + x*m + 746 wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 6. Let v be x(0). Let j be v\/(-4)*(-32)\/(-6). Solve 0 = 5*r + 5, 2*r + j = -5*k + 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208666?\nAnswer: 2, 101, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, 3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 50 + -778 + 754?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60786 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -11) + -4 + (2 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*b + 50529 - 50495 = 0, 0 = 2*d + 2*b + 22 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/230 and -2 - -9 - (394\/138 + 3).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -2, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) -5 (c) 3\/5 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + 0 + -2) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/2)\/(-2) + 1. Let t be (6\/(-4))\/(o\/16). Is 18 a factor of t\/11 - 1008\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*t + 733*t - 9 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16 + 3 + 4 - 3*y + 9. Let u(h) = -9*h + 1. Let d(i) = -6*t(i) + 3*u(i). Give d(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 36. Let d be 78\/3 - (16 - 1 - 11). Calculate r(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -3. Let o = -120 + 30. Let x = m - o. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8*i = -15. Let f be 3\/(-6)*(i - 3). Suppose f = 4*s, s + 6 = 3*x + 2*s. Solve -x*l - 4*g - 4 = 16, -2*g = -5*l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127568 and 1088?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 280*b = 278*b + 1, h - 23 = -4*b. Let g(u) be the second derivative of 0*u**3 + 0 - 2*u**2 + 3\/4*u**4 + h*u. Differentiate g(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rffg when four letters picked without replacement from kkpkfprgefkg.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 8. Let g(t) = -t - 3. Let f(r) = -8*g(r) - 3*m(r). Let j(k) be the second derivative of -k**3\/3 - 4*k. Calculate f(j(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1565740050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31\/1667 + 2407303\/8335. Factor 152\/5*r - 4\/5*r**2 - a.\nAnswer: -4*(r - 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5\/(s\/s**(-2\/15))*(s**(2\/67)\/s)\/(s**(-2\/5)\/s) assuming s is positive.\nAnswer: s**(4318\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 760356840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32499\/100 - 325. Let a = i + -1391\/900. Let f = 47\/36 + a. What is the closest to f in -1, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789*h**2 - 456*h**2 - 450*h**2 - 459*h**2 - 424*h**2 - 628*h**3.\nAnswer: -628*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/11)*g)\/g**3)\/(g**(1\/4)*g\/(g\/(g\/((g*g*(g\/(g*(((g**3*g)\/g*g)\/g*g*g)\/g))\/g)\/g)*g)*g)))**10 assuming g is positive.\nAnswer: g**(-1615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01485888 rounded to 4 dps?\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -17 (c) 0.058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1550 and 1085.\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 + 2914)\/2 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**4 + 3*a**3 + 4*a**2 - 3*a. Let v(q) = q**4 - 4*q**3 - 5*q**2 + 4*q. Let b(c) = -4*u(c) - 3*v(c). What is the third derivative of b(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - (-7 + -1 - (59 - 79))) + 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06 or -2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(1*sqrt(7) + 2)**2*5 + ((2 + sqrt(448))*1 - (sqrt(448) - (sqrt(448) + (sqrt(448) + -1)*-2)))**2.\nAnswer: -464*sqrt(7) - 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {e: 1, o: 2, z: 1, m: 3, b: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20048, 33934, 47820?\n\"Answer: 13886*c + 6162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + 3 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404814 rounded to the nearest ten thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 50*u**3 + 59.\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107202 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33097 + -33096.7. Which is bigger: 187 or b?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -63, 4, -20 in descending order.\nAnswer: 4, 0.27, -20, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -103\/93 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let n(a) = 2*a - 318. Give g(n(c)).\nAnswer: 2*c - 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:56 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppjjjqjqjpjjjjjjqj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -5*x + 3*q + 281, 0 = -8*x - 2*q + 114 + 124 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135\/262 - 2\/131. Let q = -283\/435 - -15\/29. Let c = -3 + 2.8. What is the nearest to c in i, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 8*d + 12. Let g(u) = -u**2 + 8*u - 13. Let w(h) = 3*g(h) + 4*t(h). Let n be w(7). Let l(o) = -o - 6*o - o**2 + 4*o - n*o + 5. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 56648.52ng?\nAnswer: 0.00000000005664852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*n - 260, n = -0*n - w + 129. Let y = -85 + n. Suppose 0*m = 2*m + 3*c - 17, -2*c = 4*m - y. Calculate the remainder when m is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2188*o**2*t**2 + 12*o**2*t + 10 wrt t.\nAnswer: -4376*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*m - 2*l, 0 = 5*m + 15326*l - 15358*l - 59 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**2\/2 + 2. Let x(c) = -2*c - 4*c + 4*c. Calculate m(x(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + l - 2)*(5*l**2 - 7*l + 7*l) + 2 - 2 + l**3)*(-2 + 0 - 9)*(l - 3*l + l).\nAnswer: 66*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/363 and -131\/24156.\nAnswer: 265716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 2 + 0*l - 4*l.\nAnswer: 17*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:23 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 48 and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) -6 (c) -5.2 (d) -1 (e) -12 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 21574 = -16*s. Let c = 4563 + s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6282 * -4.\nAnswer: 6.5128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23132966, -46265927, -69398886, -92531843, -115664798?\n\"Answer: h**2 - 23132964*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101 - 1101000100110100110?\nAnswer: -1101000100100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2814, 0.11, -5\/6, -3, -4, 0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32804227 and 16510?\nAnswer: 4264549510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*o + 76, 4*r - 21*o + 22*o - 64 = 0. Solve -3*w + 2 = -w + 2*s, 5*s = -r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/208494 and -21\/1807?\nAnswer: 28980666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*d - 23*d. Let z(a) = -31*a + 214. Let g(y) = 31*y - 215. Let f(j) = d*z(j) + 3*g(j). Find the first derivative of f(x) wrt x.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:14 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4\/3 + 84*b**3 + 4549*b**2\/3 + 6090*b + 21025\/3 = 0. What is b?\nAnswer: -29, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15\/2, -2\/15, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 6*m**3 - 4 - m + 3 - 2*m**2. Let k be s(1). Suppose 0 = p - 0*p - k. Solve p = f - 4*w + 2*w, -3*f + 5*w = -11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f - 36 = 0. Suppose 0 = 3*c + 17 - 74. Let x = c + -15. What is the closest to f in x, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(833) + sqrt(833) + sqrt(102)\/sqrt(6)*-4.\nAnswer: 31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -4 (c) 2\/21 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -2 + sqrt(2299)*-2)**2.\nAnswer: 44*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 35969 = 3*q - 153236, a + 156356 = 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 - 225. Let p(k) = -k. Let d be p(-5). Suppose -2*v - 5*o + 31 = 0, -4*v + d*v - o + 2 = x. What is the second biggest value in v, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a - 23. Let d be l(8). Let s = d + -14. Suppose -s*z + 11*z - 32 = 0. Solve z = q + q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7 - 1 - l + 10 + 2. Let d be u(-15). Suppose -2*y = d - 183. Calculate the greatest common divisor of y and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-23 - -26)) + -5 + -105 - (-1 + 11).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -60*o + 1265. What is l(20)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 1122377?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1628 - 1628 - 5074*g.\nAnswer: -5074*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert -4490 (base 10) to base 9.\nAnswer: -6138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-30) + 111\/15. What is the common denominator of 90\/(-426)*3\/18 and 71*((-141)\/36 + 28\/y)?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**5 - 46*f**2 + 95*f wrt f.\nAnswer: 60*f**3 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 788\/132 - (828\/(-132) + 87\/319)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 147801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -cb5a?\nAnswer: -cb56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 7*j**4 - 2*j**5 + 16*j**2 - 22*j**3 - 11*j**2 + 7*j**2 + 5*j**4 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277961 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881711 is divided by 624.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31346)\/2239)\/((-4)\/(-14)*1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**4 - n**3 - n + 1. Let l(x) = 7*x**4 + 2*x**3 + x - 2. Let y(a) = l(a) + 2*t(a). Find the second derivative of y(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*12\/16*22\/(-1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*g + 5*q + 3, 2*q + 6 = 0. Let h = -3569 - -3598. Calculate the remainder when h is divided by ((-4)\/g - -3) + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 369239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - 15520760?\nAnswer: -15520737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/4851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26422 (base 8) to base 6\nAnswer: 125230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 14. What is the remainder when 64 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = 1. Suppose -3*h = w*h + 20. Is h\/(-6)*(-7326)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, -10, -261, -2, 19.\nAnswer: -261, -22, -10, -2, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079472 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*w - 30370 = -2*p - 120*w, 2*w = 3*p - 45563. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 29, 58, 105, 176, 277, 414, 593?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/(-35) + (-2)\/7. Let h be 0\/(r\/2 + 0). Solve 4*w + 4*b - 12 = 0, h - 3 = 3*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*r**2 - 556*r**2 + 283*r**2.\nAnswer: 53*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 + -0.03. Let p = -0.1 - k. Let x = 10.64 + -11.64. Which is the closest to x? (a) -4 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 18. Let i = -3 + z. Suppose 3*u + 4*s + 2 - 3 = 0, 3*u = -3*s + 3. Solve u*p = -i*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.6 - 16. Let r = 1.4 + u. Which is the third biggest value? (a) r (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0582 - -2.7318. Let h = t - -0.21. Which is the third biggest value? (a) -2 (b) h (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 75*i - 33. Let h = -260 - -234. Let p be c(h). What is the highest common divisor of 1215 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/14 - (75\/6 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -0*p - 5*p. Calculate the common denominator of -31 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557*y**5 - 6224*y**3 - 17*y + 82749.\nAnswer: -11140*y**3 - 37344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhllohbbnbnnblhnhs. Give prob of picking 1 h and 1 b.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**2 - p - 1. Let g be 0 - (-4 - (-1 - 0)). Let l(j) = 4*j**2 + 2 + 47*j - 47*j + j**g. Calculate l(z) + 2*v(z).\nAnswer: -z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*v + 164, 0*w - 3*v - 74 = 2*w. Let b = w - -34. What is the tens digit of (-1*(-222)\/3)\/(b - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -65, -150, -285, -470, -705?\n\"Answer: -25*s**2 - 10*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-9 + 26 - 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/30 and -22\/171.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-6)*(-18)\/(-5). Suppose -g + 4*p - 11 = 4*g, -5*g + r = p. Which is the smallest value? (a) 0.5 (b) g (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)\/x*x**2*(x\/(x*x\/x**(2\/3)))**(4\/37))**(-1\/25) assuming x is positive.\nAnswer: x**(-539\/11100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231610385*-1.\nAnswer: -231610385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7. Suppose 2*j - 4*d - 40 = b, 5*d - 125 = -5*j + 20. Solve 6 = -4*h - 2*n, -4*h + 4*n - j = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - (7 + -2) - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2259, -2667, -3255, -4023?\nAnswer: -4971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -b - 40. Let f(z) = 4*z - z + b*z + 2*z. Let j(l) = 3*l. Determine f(j(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -40\/9 (c) 2 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = 88 - 377. Let p be 0 + 17\/(-2)*-22. What is the highest common divisor of p and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**6\/120 - r**5\/15 - 5*r**4\/24 - 2*r**3\/3 + 7*r**2 - 1. Let u(j) be the second derivative of s(j). Give u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 4*i + 0*i + (3 + 3 - 7)*(3*i - 6*i + i) + 20 - 20 - 39*i in the form s*i + n and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 379 + -375. Solve 5*u + 5 = f*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/36 + (-87)\/(-18). Let w(h) = h**3 + 8*h**2 - h - 5. Let k(t) = 3*t + 7. Let j be k(-5). Let b be w(j). Put b, z, 4 in decreasing order.\nAnswer: z, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8360\/(-110))\/((-1400)\/(-210))?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**2 - 6 + 15 - 10 - 11.\nAnswer: 31*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36955267 and 72409?\nAnswer: 3811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -10. Let s(c) = -8*c**3 - 3*c**2 + 3*c. Let l be s(2). Let p be (28\/l)\/(9\/(-5)). Is p less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -3, -17 in decreasing order.\nAnswer: 2, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -16 + (-1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05611185 take away -203690?\nAnswer: 203689.94388815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*z + w, 3*z + 3*w + w = 40. Suppose 8*p - z*p = -20. Suppose -10*u = -p*u - 105000000. Round u to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 4*r**4 - r**4 + (-6 + 4 - 32)*(9 - 17*r**4 - 9).\nAnswer: 575*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = x, 3 + 1 = 4*z + 5*x. Let d be -1 - (z - 1) - -5. Suppose d*v - 14 = o, -3*o - v - v = -14. Solve 0 = r + 2, -o = -2*w - r - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, -21, -9, 3?\n\"Answer: 12*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -21) + (13 - 14). Solve q = 209*v - 214*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/25*9\/(-6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 13 - 8*p + 20*p.\nAnswer: 12*p - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 801 and 1424.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 4.8. Let n = -1150\/7 + 164. Which is the closest to 2\/5? (a) n (b) f (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12) + -14 + (-75643)\/37788 + (-1 - -17)?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 10100011?\nAnswer: 10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080755704.\nAnswer: 2, 7, 1879, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10142300 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 5*z - 5. Let t be h(5). Let u(y) = 3*y - 50. Does 10 divide u(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from wcodvwcwwooodww?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5382256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Suppose -2*k + 2*c + 168 = 0, -l*k - 2*c = 2*k - 360. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1063, 0.2, -1111 in descending order.\nAnswer: 0.2, -5, -1063, -1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 626895438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 20*m + 18*m = -168181, -4*m + 56047 = w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20438*r**2 - 13*r**3 - 20438*r**2.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:21 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*f**3 - 11346*f**2 + 2301210*f - 984150.\nAnswer: 2*(f - 405)**2*(7*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1940*n**3 + 7141*n**2 - 7141*n**2 + 84*n**3 + 1860*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j**2\/j*j))\/j*j)**20\/(j**(2\/19)*j*j)**(-14) assuming j is positive.\nAnswer: j**(180\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-10) + 5)*(11 - ((-45234)\/585)\/(-7))\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 - 2*w. Let y(g) = 11*g + 1750. Determine r(y(i)).\nAnswer: -363*i**2 - 115522*i - 9191000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 6663*y**2 - 3696297*y + 3702963.\nAnswer: -3*(y - 1)*(y + 1111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 72227322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(2057)))**2.\nAnswer: 88*sqrt(17) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -165, 1\/2, 2, -3 in decreasing order.\nAnswer: 4, 2, 1\/2, -3, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v - 1 + 3 + 0 - 18*v to the form s*v + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 15544 + 206 = 0. Let v = -2374 - r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*v**3 + 80*v**3 - 2*v**3.\nAnswer: 66*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -37*p**8\/168 + 3*p**6\/40 + 2*p**5\/15 - 28*p**3 + 10*p**2 - 46*p. What is the third derivative of v(h) wrt h?\nAnswer: -4440*h**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 5*c**2 + 5*c**2 - 26*c**2 + 11*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 3*a - 3. Let f be d(3). Let k be f*(0 - (-4)\/(-6)). Let s = 23 + k. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/2 (b) 0.12 (c) 4 (d) -0.4 (e) -1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021915911 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144638 divided by 3?\nAnswer: 144638\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 7*z**2 - 5*z - 18. Let i be q(8). Sort -4, i, 1, 4 in decreasing order.\nAnswer: i, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 3*z**2 + 3*z - 1. Let t be d(4). Let h(u) = -2*u**2 - 12*u - 11. Let n be h(t). Which is the nearest to n? (a) -4\/3 (b) 1\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 483*u**2 - 24*u + 207. Is r(6) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*n = 354, -3*r - n = -8*r + 590. Let m(s) = -5*s - r + 118. Let i(o) = -2*o. Give i(m(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d - 11 - 112 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3791 - 3784 + 7575 - 12*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.92 + 19. Let z = 2.5 - 0. Let x = h + z. Round x to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = 29*z + 110. What is the remainder when z is divided by 6 + -1 + -3 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 2*y. Let i(g) = 18*g**2 - 54*g. Let s(l) = -i(l) - 27*u(l). Let w(p) = 2*p**2. What is s(w(h))?\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 0.15243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d - d - 4*d to the form z*d + h and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 6*t - 8. Solve -u = -0*l - l - 6, 2*u + t*l - 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-866)\/22560 - 64\/(-1504). Let t(m) be the third derivative of 0*m - x*m**5 + 1\/96*m**4 + 0*m**3 + 0 + 14*m**2. Factor t(p).\nAnswer: -p*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-7)*(-6)\/(-8) + -4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.13 (b) 169 (c) -4 (d) 3\/19 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/1 + (1 - 2) - -2. Let c(i) = i**3 + 12*i**2 + 12*i + 14. Let j be c(o). Solve -j*b + 4*z - 6 = 0, 5*b - 4*z + 10 = -0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19 - 13)*(-3)\/(-6). Let -80\/7*m**w + 32\/7*m**4 + 66\/7*m**2 + 2\/7 - 20\/7*m = 0. What is m?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -8*p + 17\/12*p**3 - 1\/16*p**4 - 215 - 7\/4*p**2. Factor g(r).\nAnswer: -(r - 16)*(r - 2)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 119586*j - 19. Let p be q(-1). Is (-1)\/(6\/(-4)) - p\/57 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3144\/(-21) - (-8)\/(-28). Let c = n - -268. Suppose 51 = l - 2*g - 6, 5*g = 2*l - c. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 55, 126, 227?\n\"Answer: 15*k**2 - 4*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18444.639 and -5?\nAnswer: 18449.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -3199\/16. Let r(t) = t + 7. Let h be r(-4). Let n = -19072 + 19072. What is the second smallest value in h, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 + 1. Let y = 67 - 45. Suppose -6*n = y + 14. What is f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25985 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1654579927429 - 16561140.8351520072571. Let b = t - -16561065. Let v = b - -76. Round v to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*m**2 + 0*m**3 - m**3 + 44*m**2 + m as u + t*m**2 + i*m + d*m**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 2167*c\/2 - 109804.\nAnswer: (c - 2264)*(c + 97)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -2\/15*b**6 + 0*b**2 + 7\/6*b**3 - 2*b + 0 + 0*b**4 + 0*b**5. What is the second derivative of h(i) wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 211, 188, 145, 76?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -16\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 395 - 13 = 0. Let i = -65 - y. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a**2 - a + 2. Let x be h(0). Suppose x*w = 9 - 5. Suppose w*v - 455 = -3*z - 0*v, 3*z - 443 = v. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -3. Let m = -4 - -7. Let s be -2 + 0 + m + 3. Solve n*y = s*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4513, -8988, -13451, -17896, -22317, -26708, -31063, -35376?\n\"Answer: y**3 - 4482*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/13, -1\/3, 0.01, 0.12 in increasing order.\nAnswer: -1\/3, -1\/13, 0.01, 0.12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8279*f**3 + 2*f - 16568*f**3 + 8287*f**3 - f**2 - 13*f**2 + 114 to h*f**2 + p + t*f**3 + y*f and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 27*k**3 + 5*k**2 + 5*k - 5. Let f be (-12)\/(-96)*8*1*5. Let x(l) = -14*l**3 - 3*l**2 - 3*l + 3. Calculate f*x(o) + 3*b(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13634361 to the power of 1\/2, to the nearest integer?\nAnswer: 3692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (10 - (27 + -45)) - (-2 - (-2 + -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 21, 3, -192 in descending order.\nAnswer: 21, 3, -11, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1841 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-24)\/((o\/(o**(-1)\/o*o))\/o)**(-1\/55) assuming o is positive.\nAnswer: o**(-329\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2*d - 4. Let s(q) = q**3 + 8*q**2 + 6*q. Let t be s(-7). What is the units digit of g(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((-16 - 0) + -294 + 278)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 12 = -4*k, -4*k + 16 = -4*g + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + -32. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:24 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in 0.6, -0.1, 6690, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + ((-2*sqrt(20) - sqrt(20)) + sqrt(20))*-4 - sqrt(80)*2)\/(sqrt(100)\/(sqrt(1440)*3 + sqrt(1440))).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 468?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 6 = -5*j, 4 - 12 = 4*q + 3*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 + 0 = 0. Suppose -x + n = 2. Let h be (-28)\/49 - (-6)\/21. Which is the smallest value? (a) h (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u**2 - 2*u - 11. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/20 + k**4\/3 + 5*k**3\/6 + 3*k**2\/2 + 11*k. Let c be u(5). Solve i - 5 = 0, -c*x - 2*i = -6*i + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/10)\/((-2346)\/27370).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.915 rounded to one decimal place?\nAnswer: -156.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 - 3228\/(-48) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 30\/5)*(1 - (-39)\/42). What is the closest to v in -3, -2\/3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2147 + -0.2053. What is the third smallest value in -4, m, -0.1, -3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -978972 divided by 244743.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7281, -14536, -21791, -29046, -36301?\nAnswer: -43556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d - 28. Let i be (-6)\/21 + 0 + (-37)\/d. What is the second derivative of -i*l - l - 7*l - 2*l + 9*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let u be b(-10). Is (u\/(-4))\/(2\/(-56)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 345674, 345676, 345668, 345644, 345598, 345524, 345416, 345268?\n\"Answer: -a**3 + a**2 + 6*a + 345668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*f + 8019 + 6867 = -19957 - 6035 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 5, -3, 0 in ascending order.\nAnswer: -6, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 3:24 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -15712.1?\nAnswer: -47136.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**2 - 3*c + 1. Let t be i(5). Calculate the highest common divisor of t and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.54317 minus -0.12993?\nAnswer: 3.6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -164049759 divided by 3?\nAnswer: -54683253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 10. Let n be k(-6). Suppose -6*p + 43 = d - p, 5*d - 169 = -n*p. Suppose -6*i = -3*i - d. What is the greatest common factor of i and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*h**6 + 74*h**5 + 72*h**4 + 7646346*h**2.\nAnswer: 8280*h**3 + 4440*h**2 + 1728*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3\/8 - 1092885*b**2\/4 + 8743067*b\/8 - 3278649\/4 = 0.\nAnswer: 1, 3, 2185766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*1*(-2)\/(-2). Suppose 0 = -z + 3*q + 17, -z - 2*z + 4*q + 26 = 0. Solve -2*p = c + 2, 2 = -z*p + 5*c - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + -2b?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -359, -721, -1085, -1451, -1819, -2189?\n\"Answer: -r**2 - 359*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Suppose 0 = 3*g + 4*g - 28. Suppose -g*y + 43 = 3. Solve c = -5*h + y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-6\/7)*u\/(u\/((u*u*u*u*u**(-3\/13))\/u))*u*u**(2\/13) assuming u is positive.\nAnswer: u**(331\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-129820.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 1044, 3216, 7456, 14454?\nAnswer: 24900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12350809 or -12350805?\nAnswer: -12350809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 954796771 to the power of 1\/2, to the nearest integer?\nAnswer: 30900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2023155 and 78?\nAnswer: 52602030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14312 is divided by 14309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 12*l**2 + 38*l - 92. Give j(-13).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let a(c) = 5*c - 2. Let g(o) = -2*a(o) + 4*m(o). Let i(h) = -16*h + 76*h - 24*h - 15*h - 19*h. Give i(g(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 0*c - c + 6*c**2 + 2*c**3 + 7*c**2 to w + x*c + b*c**2 + i*c**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/10 - (-12)\/30. Let k(s) = -2*s - 1. Let z be k(m). What is the closest to z in 0.1, -0.07, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-804)\/78)*-13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 809 - 806. Which is the smallest value? (a) -32\/3 (b) -1 (c) 2\/7 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -14*z**2 + 3*z - 222. Let o(a) = 14*a**2 - 2*a + 185. Let s(n) = -6*o(n) - 5*q(n). Let b(w) = -70*w**2 - 14*w. What is -3*b(r) + 14*s(r)?\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l. Let z(p) = p**2 + 2*p + 6. Let n(w) = 2*a(w) - z(w). Let k be n(6). Suppose -2*g = -k, 5*v - 138 = -2*g + 113. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 33*p = y + 51, 0 = -3*y + p + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184*r**2 + r - 1432 wrt r.\nAnswer: 368*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22760 and 60?\nAnswer: 68280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - sqrt(252)*-4)**2 - sqrt(252)) + 0.\nAnswer: -6*sqrt(7) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(3 + -2)\/2. Suppose -11 = -4*y - 3*l, w = 4*l - 4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 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: Suppose w = 17*y - 16*y - 8018, -3*w = y - 8026. Suppose -4812 = -3*j - n, -2*j - 3*j - 5*n = -y. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -197 + -1?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:09 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82228, 82189, 82150, 82111, 82072?\nAnswer: 82033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1784*t. Let o(g) = -134028*g. Determine o(f(h)).\nAnswer: 239105952*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - 2*v**2 + 7*v - 8. Let a be x(3). Suppose a*o - 912 = 68*o. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 514*f**2 - 1027*f**2 + 464*f**2. Let w(z) = -6*z. Calculate q(w(n)).\nAnswer: -1764*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 2, k: 5, j: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:45 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102471 is divided by 840.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p + 233 - 287 - 1296. Solve -p*k + 84*k + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 12. Suppose -3*x - 10 = -o + 2*x, 0 = 4*o - 4*x - 24. Let a be b(o). Solve 0 = 3*s - 5*m - a - 0, m = 2*s - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 2, y: 1, k: 2, d: 3, j: 2}. Give prob of sequence du.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/207 and 95\/506?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, h: 2, e: 1, c: 2}. Give prob of sequence chch.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9292 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let a be (-98)\/(-10) - 2\/(-10). Let v(m) = a*m - 6*m - 5*m. Determine -4*l(i) - 3*v(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2061239.63 * 3.\nAnswer: -6183718.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(3\/13)*f)))\/f**25*(f*f**(-11)\/f)\/(f\/f**(-36)) assuming f is positive.\nAnswer: f**(-933\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s - 70*s - 12 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(2 + 1 - 4) + 2 + 2 - 2)*(0*h**3 + 3*h**3 - h**3) + (-h + 4*h - 5*h)*(3 - 3 + 5*h**2) + 2 - h**3 - 2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744888851.\nAnswer: 7, 263, 311, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52334, 104702, 157072, 209444, 261818?\n\"Answer: p**2 + 52365*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 0, -569, 12 in decreasing order.\nAnswer: 12, 9, 0, -4, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o - 34*o - 4*s = -5*s + 107, -8*s = -3*o - 100 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -25*z**6\/6 + 8*z**5 + 5*z**4 - 51. Factor u(g).\nAnswer: -5*g**3*(g - 2)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = h, 3*p + 3*h = -p - 12. Suppose 2*j + 14 = -5*l - p*j, 0 = 5*l + j + 12. Let u = l - -15. Calculate the remainder when 51 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 f when four letters picked without replacement from gqgqqqqqfgsgq?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1482 = -4*t - 3*o + 2581, -4*t = -o - 4043. Is 44 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138.8 bigger than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21dfd (base 16) to base 8.\nAnswer: -416775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 8056*i**2 + 8056*i**2 + 4*i**4 + 3*i**4 + i**3 to b*i**2 + y*i**4 + d + o*i**3 + p*i and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 61*x - 7. Let z(j) = -30*j + 4. Determine 4*b(g) + 7*z(g).\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -56. Let g = -10 + 10.08. Is l at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkappaiq. What is prob of picking 1 q, 1 p, 1 a, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-9)\/4)*(-362)\/(-905)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**5\/5 + 8088*i**4 - 931644*i**3\/5 + 850758*i**2\/5 + 931641*i\/5 - 891198\/5 = 0?\nAnswer: -13503, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 315, 623, 931, 1239, 1547, 1855?\n\"Answer: 308*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6 + 21*o + 17*o - 33*o - 24. Let p be r(4). Solve 5*u = -4*k - 20, 15 = -3*k + u - p*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1060 and 3604.\nAnswer: 18020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88335 - 88335 + 935*x.\nAnswer: 935*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 10*p**2 + 3*p**3 + 7*p.\nAnswer: 3*p**3 + 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1699*z**2 - 155*z + 18794912 with respect to z.\nAnswer: 3398*z - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - -14?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*k - 2311, -6*k - 2880 = 5*m - 8*k. Is -575 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 69 - 35 - 78 to the form h*s + m and give m.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16 - 19 - (1 - 3)) + 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2 - 8*p**2 + 0 + 9*p + p**3 - 4. Let v(w) = 33*w**2 - 4*w**3 + 0 - w**3 + 7 + w**3 - 37*w. Let x(q) = 9*a(q) + 2*v(q). Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8808 and 31533374?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 5, 3846, 160, 4, -4.\nAnswer: -4, -2\/3, 4, 5, 160, 3846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jxxjjgj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**4 - 15*i**3 - 21*i**2 - 9*i = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + 1)**2 + sqrt(34)\/sqrt(2)*3.\nAnswer: -3*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1800 = 565*k - 610*k. Let i = 15 + -3. What is the least common multiple of i and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/19*36\/(-27)*(-394)\/788?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*n + 9, 4*n + 3*z - 18 = -19. Find the common denominator of -70\/3 and (-85)\/(-45) + 4\/8*n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 276 (c) 1.84 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344 and 114638?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -23*h**3 + 2*h**2 - 1. Let v be d(-1). Let r = v + -3. Suppose -r = -5*l + 89. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -1) - (133 - 131)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 55425.076 to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f*i**3 - 8*f*i**2 - 2*f*i + 11*i**3 + 55*i**2 - 12511*i - 188 wrt i.\nAnswer: -54*f*i - 16*f + 66*i + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786717 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 578*h**3 + 39504*h**2 - 353384*h - 869440 = 0. What is h?\nAnswer: -2, 13, 88, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4*m**2 + 5*m - 12. Let w be g(5). Let o(s) = s + 20. Let r be o(w). What is the second derivative of -q**4 - r*q - 10*q**4 + 12*q wrt q?\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let c(i) = i**2 - 8*i + 1. Let p(g) = -1 - 2*g**2 + 0 + g**2 + 6*g**3 + 2*g. Let b be p(1). What is b*r(m) - c(m)?\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:43 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3412)\/(-36) - 12\/(-54). Calculate the highest common divisor of 133 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 61. Suppose 13*o + 65 = w*o. What are the prime factors of 5\/((-5)\/(-3)) + o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 18389273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**6\/120 - 2*q**5\/15 + q**4\/2 + q**3\/3 + 9*q**2. Let g be r(6). Suppose -v = 3*v - 4. Sort g, -7, v in descending order.\nAnswer: g, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 7*b - 3*n - 2204, n = 0. List the prime factors of b.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Suppose -l - 15 = 4*l. Let o = -7 + 14. Let g(k) = -2*k + 2. Let w(v) = -5*v + 4. Let u(d) = l*w(d) + o*g(d). Determine 3*u(p) - 5*x(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 8, 3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89170979.\nAnswer: 89170979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 2. Let k(s) = s - 4. Let t be k(0). Let c be (-8 + 981\/18)*(0 - -2). Let q(r) = 31 - c + 3*r + 28 + 31. What is t*j(u) - 3*q(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 6*x + 4. Let t be m(6). What is the nearest to t in -0.3, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 + 1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1412 + 1949 + 2088 = -211*k + 1018 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -74. Let s be (-4)\/(-16) - (0 + (-43)\/a). Sort s, 1, 3 in decreasing order.\nAnswer: s, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 1\/10, -0.1, -1, -150191 in ascending order.\nAnswer: -150191, -5, -1, -0.1, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 12. Let n = -1 + h. Suppose -5*i - 5*y = -135, -4*y = i - n*i + 144. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.8184 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*o + 32 = -0*u, 2*o + 14 = u. Suppose 47 - u = 5*t. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.36*0.25\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 7, y: 7}. Give prob of sequence kk.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41200 and 1772800.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4510 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 6*t - 17*t - t**3 + t**3 - 2*t**3 to l*t + a*t**2 + n + r*t**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/8 + x**2. Let i(b) be the second derivative of -b**3\/2 + 11*b. What is c(i(m))?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -765, -2328, -4931, -8574?\nAnswer: -13257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaeaaaaeeaaaee. Give prob of picking 2 e and 2 a.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25289*z**3 - 95403*z - 3*z**2 + 95403*z + 3*z**2.\nAnswer: 25289*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (4 - -4 - 13 - -7).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-30)\/120)\/((-1)\/40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**4 - 1463*r + 1296 - 43*r**3 + 7*r**3 - r**4 - 1296 wrt r.\nAnswer: 60*r**2 - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 + t - 2. Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 + 0 + 8 - -7) + -3 + -21.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 + (-32)\/30. Let r = -0.4 + -1. Let y = 1.1 + r. What is the nearest to 0 in -3, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1589767 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(66)\/sqrt(6) + -6*((1*sqrt(891))**2 - sqrt(11)).\nAnswer: -5346 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2) - 0)*(-148)\/111. Solve k*x - 3*u = 2*u - 20, 14 = -4*x - 3*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15867*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/30 - 9954\/30. Let m = 916 + t. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.12664 - -83.13124. Let u = -77 + y. What is u rounded to 4 decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3*q. Calculate the least common multiple of (4\/1)\/(2 + q) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 0*f)*(-39*f - 1 + 2*f**2 + 86*f - 48*f).\nAnswer: -4*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**6 + 237*y**3 - 45*y**2 - 3?\nAnswer: -120*y**3 + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -61, -6, -1, -7 in decreasing order.\nAnswer: -1, -4, -6, -7, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15210280 - 218959 = 487*p. Is p a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3858*b**6*t**2 - 3*b**6 + 108*b**2*t**2 + 2*b**2 - 43*t**2 wrt b?\nAnswer: -462960*b**3*t**2 - 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3048 and -11.\nAnswer: -10.6952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiivoiovidi. What is prob of picking 2 v and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -318, 89925.9 in decreasing order.\nAnswer: 89925.9, 4, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2417103 and -14\/15.\nAnswer: 12085515","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9248 and 14.\nAnswer: 64736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -168281?\nAnswer: -84140.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {b: 9, u: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73055934 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -16563\nAnswer: 1656.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -446945 divided by 5\nAnswer: -89389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -17490912.\nAnswer: -34981824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-20) + 4 + 31\/(-35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.615 + 2.715. Which is the nearest to -12? (a) k (b) 7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 75. Let b be 120654\/21 + j\/(-7). Let r = b + -2718. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 42. Let i be k(16). Let t = 77 + i. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 4*a + 2*a)*(-4*a + 3*a + 6*a)*(-3*a + 0*a - 4*a + 2).\nAnswer: -105*a**3 + 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 957 and 1044?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 3*m**2 - 2 + 10*m**2 + 4*m. Let y(d) = 5*d**2 + 3*d - 1. Suppose o = 5*t - 20, -9 = 2*o + 4*t + 3. Let p = o + 7. Determine p*w(i) + 4*y(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 41 = -11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(2*j + 1 - 1) + 2*j + 2*j - 3*j + (-26 + 15 + 5)*(3*j + 2*j + j) + 2*j + 3*j - j.\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10220112 (base 3) to base 15\nAnswer: c9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111293, 111373, 111507, 111701, 111961, 112293, 112703?\nAnswer: 113197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2 - 3*r + (-13*r + 18*r + 1 - 16*r)*(2 + 3 - 2).\nAnswer: -36*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggr when three letters picked without replacement from wrygzygwygw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21 - 0. Let f = l + 0.01. Do f and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 24*t**2 - 66*t + 417. Calculate the remainder when j(-21) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17556 - 18968.291.\nAnswer: -1412.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 - 9 = 0. Determine d so that 8*d**4 + i*d**3 + 2*d**3 - 3*d**3 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - (-147 - -233)) + (1 - 40).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:31 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 9 - 40)*(-2*p**2 + 0*p**2 + 0*p**2 + (-2 + 2 - p**2)*(-4 + 5 + 1) + 0*p + 0*p + p**2) to z + b*p**2 + h*p and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305 - 452. Calculate the remainder when 71 is divided by n\/(-4) + 4\/16.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 2*w, -5 = -5*f + 3*w - 17. Sort f, 3, 287 in decreasing order.\nAnswer: 287, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39603 and 55380?\nAnswer: 731071380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 3.2. Let r = 95 + -357. Let x = -262.1 - r. Which is the closest to x? (a) 2\/47 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 24) + 0 + -1757 + 1725?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 + r. What is n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/13 (b) -5 (c) -0.1 (d) 0.105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w = -36. Suppose -5*a - 15 = -i - 4*a, 4*a - 36 = -4*i. Calculate the greatest common factor of i and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -2\/3, 1924, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9324)\/46620*85\/7\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -29*h - 11. Let o(a) = -10*a - 4. Give -8*o(x) + 3*r(x).\nAnswer: -7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus 191.845?\nAnswer: 191.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55728 + 52946 = -26*b for b.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let f = q + 0. Let w = 1.0034 + -2.2034. Do w and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*o + 0*o**3 - 16*o**2 + 5*o**3 + 2 + 14*o**2 - 3*o**3 + 35*o to x*o + q*o**2 + h + l*o**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -2. Let q(f) = -f - 1. Let m be q(u). Suppose 1 = -0*t - t, -3*o + m = 4*t. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 4888.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29019, -58470, -87925, -117384, -146847, -176314, -205785?\nAnswer: -235260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-27 - -64) - ((-1 - (-1 + 1)) + -94).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 33*d - 235. Let v be y(7). Let w(k) = -1. Let z(s) = 3 + 17*s - 8*s - 11*s. Calculate v*w(n) - z(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {h: 3, r: 7, d: 3}.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + 1223.\nAnswer: 1222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25185490 rounded to the nearest ten thousand?\nAnswer: 25190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p + p**2 - 5*p - 6 - p - 3*p. What is the tens digit of z(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 49. Suppose 2*z = 2*q + 218, -j = -5*q - 8. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 153825d + -1?\nAnswer: 153825c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1152956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1*2)**2 + 1 + sqrt(1872) + 1.\nAnswer: 12*sqrt(13) + 7490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4478.685l to millilitres.\nAnswer: 4478685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-6)\/3 - 0. Let a = -67\/69 + 30\/23. Factor 0*l - a*l**x + 1\/3.\nAnswer: -(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-15)*s*s**5)**(-28))**(1\/3))**(2\/87) assuming s is positive.\nAnswer: s**(56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 200022 (base 3) to base 5\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16665 + 22335 = -126*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-3\/2))\/(i*i**(-28))*((i\/((i**24*i)\/i*i)*i)\/i)**(2\/71) assuming i is positive.\nAnswer: i**(4235\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187*b + 106*b + 130*b)*(-5 + 2 + 1)*(3*b**4 + 432*b**3 + 0*b**4 - 432*b**3).\nAnswer: -294*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 74. Let u = 57 + s. Find the third derivative of -121*t - 18*t**u + 121*t - 20*t**6 wrt t.\nAnswer: -2400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1307 + 903 + 1133)*(-k - k + 6*k) to a*k + m and give a.\nAnswer: 2916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-416)\/(-65) + -4)\/(1 + (-360)\/175 + 1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -776*o**2 + 849*o**2 - 375*o**2 to the form v*o + n*o**2 + l and give n.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + (-13)\/21. Let y = -930 + 929.6. Put 0.4, 5, y, w in descending order.\nAnswer: 5, 0.4, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -27*o - 108. Suppose -91*p + 87*p - 28 = 0. Let j be w(p). What is the greatest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - -30.38144435738.\nAnswer: 30.35144435738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3\/4)*w))**47)**14 assuming w is positive.\nAnswer: w**(987\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 16) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310934308 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + -0.02000338. Round z to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 1. Let a(z) = 11*z - 2. Let y(i) = a(i) - 2*r(i). Let g be 0 + (-5)\/((-20)\/16). Let p(m) = -13*m + g*m + 5 - m. Calculate 6*p(h) + 7*y(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*j + 7 - 8, -2*o = 7*j - 4. Solve r = 2*i + 1, -39*i - 4 = j*r - 40*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-12 - (1089\/22)\/(-11))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/125069272 and 23\/20699.\nAnswer: 875484904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {c: 12, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78304 = -343*f + 3716*f + 1108*f - 159189 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*x**6 - 2*x**5 + 8*x**2 - x.\nAnswer: 10800*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4004465 to the nearest integer?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 10*u - 12. Suppose -2*z + 3*g = 33, 2*z + 26 = -2*z - 2*g. Let o be w(z). Let f = o + 23. Solve -4*x + 0*x - f = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 9 = 16*n, 2*o = 2*n - 32 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 2 - 9*d**2 + 8*d**2 as r + w*d**2 + n*d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 8917363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 12) + 5 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**3 + 9*h**2 - 11*h - 1. Let s(m) = -3*m**3 - 2*m**2 + 3*m - 1. Let y(u) = -9*s(u) - 2*t(u). Let d(v) = -v + 3. Determine -9*d(a) + 2*y(a).\nAnswer: 2*a**3 - a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*l + 510 = 2*r, 5*l = -r + 79. Find the common denominator of (1\/3)\/(r\/6006) and -41\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 - 36. Calculate x(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 22 - 28 + 360*c**2 + 78 as f*c**2 + r + h*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 26. Let g(y) = 7*y**2 - 6*y. Let b(k) = -15*k**2 + 13*k. Let a(z) = -6*b(z) - 13*g(z). What is a(v(j))?\nAnswer: -4*j**2 + 104*j - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.03361, 1, 0, -3\/5 in increasing order.\nAnswer: -3\/5, -2\/7, 0, 0.03361, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23047*k**2 + 66570*k - 66570*k - 4291*k**2 to the form m*k**2 + o*k + p and give m.\nAnswer: -27338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6070911 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*a**2 - 147*a**2 - 146*a**2 + 4 - 419*a**3 + 447*a**2 to the form x + f*a + p*a**3 + o*a**2 and give p.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23475252 is divided by 5868802.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84664564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3, 2*k + 4*a + 0*a = -108. Let y be k\/(-6) + 0 - 8\/(-24). Let n = y - -63. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let b(i) = -10*i - 83. Let g(j) = j + 1. Let x(y) = -b(y) - 6*g(y). Give l(x(m)).\nAnswer: -16*m**2 - 616*m - 5929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251 smaller than 1235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.077 + 61.077. Let x = 113\/371 + -1\/53. What is the third smallest value in 0.1, x, 5, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3216 + -0.3916. Let k = -14 + 10. What is the closest to 1\/3 in 1, 1\/4, b, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1, 12, 0.2 in descending order.\nAnswer: 12, 0.2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 83.57586\nAnswer: -41.78793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -347*c**3*i + 641*c*i**2 - 572781*i**2 wrt c?\nAnswer: -1041*c**2*i + 641*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-4))**(4\/9))**(2\/29)\/(((h*(h*h\/h**(-3))\/h)\/h**(-1\/9))\/(h**(-2\/3)\/(h*h**(-4\/3)))) assuming h is positive.\nAnswer: h**(-1381\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 minus -41?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 121, 509, 1147, 2029, 3149, 4501, 6079, 7877?\n\"Answer: -q**3 + 131*q**2 + 2*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -36. Let t be (6\/(-5))\/(i\/(-20)). Let j = 34 - t. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 15*r**3 - 8*r**2 - 7*r - 2. Let s be q(5). Suppose -9*z - 4563 = s. What is the common denominator of z\/(-30) + 1\/5 and 73\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34, -93, -88, 59, 426, 1091, 2132?\n\"Answer: 13*r**3 - 46*r**2 - 12*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/36)\/(4\/48)*-10*(-72)\/(-5280).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:41 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*i + 66, 3*x = -3*i - 2*x + 110. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/7824 and 47\/288?\nAnswer: 46944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7854013553 to the power of 1\/4, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s**0*s)))**(-31)\/(s*s*s*s**2)**(-5\/4))**(-38) assuming s is positive.\nAnswer: s**(6593\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 1.36481\nAnswer: 1.091848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*k**3 + 3 - 3 + 103*k**3 + 2*k in the form a*k**3 + q*k**2 + h + v*k and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -171*f - 351. Let u(z) = 173*z + 351. Let o(l) = -5*k(l) - 4*u(l). What is the first derivative of o(v) wrt v?\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.228424?\nAnswer: 1.14212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 3*n**5\/20 + 41*n**4\/16 + 73*n**3\/6 + 47*n**2\/2 + 18*n - 2403. Let v(u) = 0. Calculate u.\nAnswer: -9, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3771282 (base 9) to base 7\nAnswer: 23314652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*i - 115, -2*i + 53 = -v - 5*i. Suppose -525 = -88*j + 95*j. Let r = v - j. Calculate the remainder when 201 is divided by r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56699 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) + (sqrt(120)*-3)\/sqrt(12)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412*o - 209 + 260 + 702*o + 700*o.\nAnswer: -10*o + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 8*z**2 - 9*z - 10. Let q be a(-7). Is ((-10)\/q)\/((-2)\/116) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -278*i**4 + 560*i**3 + 11946*i**2 + 10948*i - 160 = 0. Calculate i.\nAnswer: -5, -1, 2\/139, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 22*i**3 + 50*i**2 - 26*i.\nAnswer: -2*i*(i - 1)**2*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -336 in decreasing order.\nAnswer: -4, -5, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-5))\/(4\/20). Let j be 4\/14 + (-290)\/f. Suppose -5*v + 924 = -v. Calculate the highest common factor of j and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = 13. Suppose -2*n + 3*u - 1 = -3*n, -2*n - 3*u = 1. What is the smallest value in -1\/13, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 9*l + 67. Let h be z(14). Let j(m) = 2*m - 2. Let u(g) = -27*g - 6. Let f(p) = h*j(p) + u(p). Let o(k) = -22*k. What is -5*f(n) + 8*o(n)?\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 168.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513367549 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -592, -20\/47, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 25843, -12, -5 in ascending order.\nAnswer: -12, -5, 25843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 4 - 629063)\/((-9)\/(-9)*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-380)*12)\/3.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + w = 9742, -3*w = 4*z + 12*w - 12880. What is the lowest common multiple of 90 and z?\nAnswer: 29250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2458 (b) 15 (c) 0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -413 - 16635*d + 2906 + 990 + 20125*d wrt d.\nAnswer: 3490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:20 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 9*h - 16. Let r be n(4). Is (7 - r) + 0 - (-1142)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (2*sqrt(343)*-2 + (0 + sqrt(343))*6)*3)**2*-5.\nAnswer: -61780 + 1260*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 15 = l. Let x = 4 - -3. Suppose 3*n - 10 = -2*j, n - 8 = -3*j + x*j. Solve 0*q - l*q = n*g - 22, -3*g + 3 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*b**3 + 12*b**3 - 21*b**3)*(-2*b**2 + 2 - 2) + 8*b**5 + 6*b**5 - 7*b**5 + (0*b**3 + 2*b**3 + 0*b**3)*(b**2 + 3*b - 3*b).\nAnswer: 87*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10774 - 1146*a**3 + 1139*a**3 - 10774.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -46*p + 91. Let y(x) = 330*x - 638. Let t(o) = -44*r(o) - 6*y(o). Let c be t(4). Solve -3*l + 151 - 139 = c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5426708*h*w**2 + 3*h - 6*w + 187943 wrt w.\nAnswer: -10853416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6244935 and 5523?\nAnswer: 43714545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 76. Calculate the lowest common multiple of 35 and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 4 + (-132 - -156) + 82?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvr when three letters picked without replacement from {r: 3, b: 2, v: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*f**4 - 47*f**4 + 35*f**2 - 5*f - 21*f**4 - 16*f**3 - 24*f**3 = 0. What is f?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, -5*l - 2 = 3*t - 7. Is l + (-3 - -372) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 2}. What is prob of picking 1 c and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 970?\nAnswer: 970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31+19302.4\nAnswer: 19333.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)**(-30\/13)*(i\/(i**4\/i))**(24\/13) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*h + 25, 3*u + 3 = 197*h - 201*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 4}. What is prob of sequence qqpp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -4, -1, -43 in ascending order.\nAnswer: -43, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*j - 22582380 = -3525482. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333984 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 36\/17) + 10560\/6528)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7 = -3. Let a = g + 13. Suppose 29 = -3*b + a. Do -6 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + 11101001001010?\nAnswer: 11101000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 34*c**2. Let v(q) be the third derivative of -5*q**4\/24 + 2*q**2 - 49. Give v(j(p)).\nAnswer: -170*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*r + 5 + 3*r**2 + 543*r + 27*r**3 + 228*r + 3.\nAnswer: 27*r**3 + 3*r**2 + 610*r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.15448\nAnswer: 0.30896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 15) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785.4 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -6. Let d be (-2)\/w - (-4161)\/9. Suppose -5*s + 18 - d = 0. Round s to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (56 - 56) + 1\/9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13016004 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) -0.3 (d) -1\/57 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -0.2. Let i = 36 + -35. Let j = 0.3 - 0.8. Which is the closest to i? (a) -3 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 8. Let o be d(-6). Suppose 0 = -o*a + 2 + 14. Solve -a*k + 2*l - 1 - 3 = 0, -l + 9 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (75 + -120) - (-4 + 3 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 340\/15 + (-1)\/(-3). Suppose -7 = 4*b - j. Differentiate -4*g**b + 4*g**3 - 2*g**3 - 2 - 2*g**3 with respect to g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -6, -1, 0.\nAnswer: -6, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3282.833 micrograms to milligrams.\nAnswer: 3.282833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = 0, 0 = -k - g + 2 + 11. Calculate the least common multiple of 18 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a1 (base 16) to base 7\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*h + 1 = 9, -3*h - 11 = -u. Let g(t) = 5*t**2 - 8 - 2*t**2 + 7*t**2 - 7*t - 9*t**u. Determine g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1898499173 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52679475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 2:32 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.4 (c) 4 (d) 2\/9 (e) 225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 117. Let h = -0.05 - 0.25. Is h not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 32*s. Let l(v) = -3*v. Give h(l(k)).\nAnswer: -9*k**2 + 96*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r. Let f(c) be the third derivative of 7*c**5\/15 - 42*c**2 + c. What is f(w(u))?\nAnswer: 1792*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 4*y + 3*y)*(1 + 3 - 2) + 3*y - 10*y + 40*y to the form k + t*y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00968158673 to seven decimal places.\nAnswer: -0.0096816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 95*p**2 - 2*p. Let n(j) = 2*j - 1. Let m(z) = 9*z - 4. Let c(x) = -m(x) + 4*n(x). Give c(q(u)).\nAnswer: -95*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 16, 7, 4, -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from rooolhoororlrrooorr?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(144)*-5))**2.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -145, -691, -1617, -2893, -4489, -6375?\n\"Answer: 5*d**3 - 220*d**2 + 79*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-24)\/(-28) + (-2)\/(-14). Solve -2*n + 20 = -4*c + 2*n, o = -3*c + 4*n - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32612, -34708, -36804, -38900?\n\"Answer: -2096*l - 30516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 308?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/3 + 452338330*y\/3 + 10230498239359445\/3.\nAnswer: 5*(y + 45233833)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.95 + 1.75. Which is the third biggest value? (a) j (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m. Let z(p) = -4*p**2 + 3. Let u(h) = 7*h**2 + h - 6. Let f(t) = -3*u(t) - 5*z(t). Let n be f(-4). Let g be n\/(-2)*(-7 - -5). Determine i(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2 + n. Let u be j(2). What is the common denominator of (-763)\/42*(-2)\/4 and (-83)\/4*u\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.577 take away 0?\nAnswer: 365.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*y - 46447 = 1593*y + 29717 for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q**2 + 8. Let u(v) = 8*v**2 + 5. Let l(b) = 5*i(b) - 8*u(b). Let y(r) = -2*r. Determine l(y(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 4*g**2 - g - 46. Let x(n) = n**3 - n**2 + 1. Let l(r) = u(r) - 4*x(r). Find the first derivative of l(p) wrt p.\nAnswer: -15*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2 - 7. Suppose -3*f - 2*f = -m. Let y(j) = -4*j - 23. Let p be y(-6). Solve -c + z + p = 0, -2*z = -c + f + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540183 is divided by 270078?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -40*l - 518. Let s(b) = b**2 - 53*b + 227. Let t be s(5). What is f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -30*v - 4. Let z(c) = 6*c + 1. What is -2*f(d) - 11*z(d)?\nAnswer: -6*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -258 - -35006?\nAnswer: 34b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1045 = -c + 5*s, -2*c = 2*s - 402. Let r = 302 - c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4335 + 4336. Solve -3*x - 2*h - 7 = 0, h = -x + 2*x - g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 14. Let n(l) be the first derivative of -f*l - l**3 + 6*l**2 - 5 - 6*l + 4*l + 0*l. Factor n(q).\nAnswer: -3*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11155286 is divided by 227657.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(sqrt(5)*-1 + sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39246 by -32.\nAnswer: 19623\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 45?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 8. Let d(j) = j**2 + 9*j + 7. Determine d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 27*a + 1. What is p(12)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -31. Let t(r) = 342*r + 3. Let l be t(z). Suppose -l = -2*w - 3*w + 4*i, -2*i = w - 69. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12957 = -834*l - 24969 - 39696 for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.3. Let g = -20.9 + 22. Let m = -1.4 + g. Sort t, 0.5, m in ascending order.\nAnswer: m, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/2 (b) 2\/5 (c) -0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004453 rounded to seven decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 7*p**2 - 8*p - 6. Suppose 4*d = -5*u + 29 + 3, -45 = -5*d - 5*u. Let b = d + -9. Suppose 15 = -b*o + 3*m - 9, -o - 6 = -3*m. What is r(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39992110 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 14, k: 5}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -0.4 (c) 0 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i**2 + 3*i + 1. What is j(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((160\/(-50))\/2)\/((3\/100)\/((-258)\/(-172)))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 336019964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 52*s**2 - 14*s + 391. Is m(-53) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-594)\/20 - (-8)\/16)\/(13106\/(-32765))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.890587 centuries?\nAnswer: 0.0890587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 323902\/9, -0.2, -1\/4, 15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(117) + sqrt(117) + 2)**2 + -4 + sqrt(117) + 4)*-1.\nAnswer: -468 - 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8*(-2)\/(-3)*9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 93736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1746?\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256491898 by -256491898.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-8)*336552\/(-6822)*(-2)\/(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 352 - 308. What is the smallest common multiple of 80 and a?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34852*p = 34796*p + 168. Determine t, given that -7\/2*t**p - 1\/4*t**5 - 9\/4*t**4 + 17\/2*t**2 + 15\/4*t - 25\/4 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55188 (base 9) to base 7\nAnswer: -211511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 = 5*a, 3*a + 7 = -o + 9. Suppose 0 = j + 3*x - 815, o*x + 3243 = -8*j + 12*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:51 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576450 and 450.\nAnswer: 576450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.57 - 1.37. Let o be 4\/(-38)*4\/4. Sort -5, o, c.\nAnswer: -5, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 2 (b) 0 (c) -2\/7 (d) 1\/6 (e) -512\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91502*v**4 - 19*v**2 - 1216?\nAnswer: 2196048*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + 10 + -2 + -146 + 9) - -4.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - 6) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -128*a**3 + a + 1. Give i(-1).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -81677 at least as big as -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103.033 - -103. Let v = j - -19.733. Let n = v + -19.69999564. What is n rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1. Let d(o) = o**3 + 5*o**2 + 5*o - 2. Let c be d(-3). Let v be (3*2\/18)\/((-209)\/99 + 2). Let l(i) = -5*i + 4. Calculate c*l(z) + v*m(z).\nAnswer: -5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 2. Give v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x. Let w(s) = 132*s**2. Give p(w(n)).\nAnswer: -396*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10*k**2 - 5*k**2 - 40*k**2)*(-5 + 2 + 2) - 2*k**2 + 2*k**2 - 3*k**2)*(-k + 2*k + 0*k).\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r**(-19)*r)))*r*r\/r**(-4\/13)*r*(r\/(r**(-24)\/r))**(-43))**19 assuming r is positive.\nAnswer: r**(-270636\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2550888 micrometers in meters?\nAnswer: 0.0000002550888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1178, -1174, -1160, -1130, -1078, -998, -884?\n\"Answer: d**3 - d**2 - 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*(6 - -2). Factor 2*p**2 - p**3 + 0 + p**2 - c.\nAnswer: -(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -848, 0.1, 26, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {z: 1, x: 2, p: 1, y: 2, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.4 (b) -2\/9 (c) -5 (d) -31 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/2 - 19*c**4\/2 + 209*c**3\/2 - 189*c**2\/2 = 0.\nAnswer: -27, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -15077077 in increasing order.\nAnswer: -15077077, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0962510799 to 5 decimal places.\nAnswer: -0.09625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, -3, 0 in ascending order.\nAnswer: -21, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -258.2.\nAnswer: -248.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*q - 74 = -q, 3*z + 4*q = 70. Suppose -6*x + 24 = -3*x. What is the smallest common multiple of x and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*k - 27, 2*x - 7*k - 36 = -3*k. What is the remainder when 83 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - sqrt(209)*5*-3)\/(sqrt(11)*-2*3).\nAnswer: -8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - l + 3. Let f be a(0). Suppose f*x = x + 6. Find the third derivative of 4*v**4 - 5*v**4 + x*v**4 - 2*v**2 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*w**2 - 10*w**2 + 11*w**2 as a*w + s*w**2 + q and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 250*u - 4*u**3 - 402*u.\nAnswer: -u**3 - 152*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7729905*j**5 - 15623750*j wrt j.\nAnswer: 154598100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 54645*p**2 + 54657*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 - 2)) + (1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-3)\/18)\/(-1*(71920\/(-360))\/(-31)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5018104 divided by 488?\nAnswer: -10283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 14 = -2*h + 2*b, 19 = 3*h - 2*b. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 40 = -4*u, n - u - 12 = -3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54448 + -54443. Suppose j - 7 = -2*l - 0, -3*l - 5*j = -14. Let s(m) = 6*m**2 - m**l - 2*m + m - 1 - m**2. Give s(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -369.07 + 369. Put 0.3, 3, 0.2, t in descending order.\nAnswer: 3, 0.3, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.53566 millennia in centuries?\nAnswer: 395.3566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(4\/17)*s**(-4\/3) assuming s is positive.\nAnswer: s**(-29\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-775)\/275 - (-4)\/(-22). What is the lowest common multiple of ((-648)\/(-252))\/(b\/(-14)) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t - 2. Determine p(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-105) + 46324\/1036?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 2, l: 2, v: 1}. Give prob of sequence fvla.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.5 (c) 841 (d) 2\/173\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -115, -4773, 58, 3.\nAnswer: -4773, -115, 3, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 w when four letters picked without replacement from {l: 1, w: 7, v: 1, y: 1, c: 3}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 11*a - 6 - 63 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187 divided by -11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78.2232 grams?\nAnswer: 78223200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1, 2, 460\/9?\nAnswer: 460\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/4872 and 99\/229390.\nAnswer: 2752680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*n + 37 = 0, 4 = 2*t + 250*n - 252*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 4, 1\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -5*d**4\/12 + 138*d**2 + 7*d. Determine m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -10*l**2 - 6*l - 11 + 7 - 4 - 2*l**3 - 10*l = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxd when four letters picked without replacement from fdxdxdxxxdxdxdddxdd?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91425189157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d. Suppose d*r - 3*r + 9 = 0. Suppose -2*c - 4*a + 12 = -0*c, 5*a = 5*c + 15. Put -5, r, c in descending order.\nAnswer: r, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29909 is divided by 14948?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 310, 3007 in increasing order.\nAnswer: 3, 310, 3007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 13. Let d be g(14). Let c be (55 - (d - 1)) + 2. What is the greatest common divisor of 38 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 110?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 times -12.2859?\nAnswer: -1462.0221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4785*x**2 + x**4 - 499 + 1930*x + 497 - 297*x wrt x.\nAnswer: 12*x**2 - 9570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 43*c - 48*c. Let b be c\/(-28) + (-1674)\/(-21). Factor 66*v + v**2 + 4*v**2 - 26*v + b.\nAnswer: 5*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*b = -9, -85*i + 3*b = -89*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(624) - -1*sqrt(624)))\/(sqrt(1200)*2).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -36*w + 136. What is m(5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417019 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10313?\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three halves of a litre in millilitres?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1476137 or -1476139?\nAnswer: -1476139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 9*c - 7. Let f be w(-7). Suppose -8*t + f*t = -640. Suppose 0 = 5*v - 1915 + t. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74.1 + 79.1. What is the nearest to 1 in f, 136, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**8\/168 + 3*w**7\/35 + w**5\/30 + w**4\/8 + w**2. What is the third derivative of q(j) wrt j?\nAnswer: -120*j**2 + 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, 90, 965, 2658, 5445, 9602, 15405?\nAnswer: 23130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203000030 (base 4) in base 15?\nAnswer: 2c732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 2*w + 3*w - 5*w - 2*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23553, 23864, 24377, 25092, 26009, 27128, 28449?\nAnswer: 29972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*i - 0*i - 16, 2*y + 5*i = -11. Is y equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 702, 1060, 1554, 2178?\nAnswer: 2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1329039527 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 5:13 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119 (base 11) to base 3.\nAnswer: -12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 3*o + 2. Let q be b(-4). Let y(c) = c - 1. Let v be y(q). Suppose -a = -v*a. Solve a*g = -3*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 207 + 222 = 0. Let n = -140 - b. Solve -1 - 2 = -n*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v, 14 = h + 5*v - 10. Let w be (36\/16)\/(2\/8). What is the highest common factor of w and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = y - 2*y, 5*p = 5*y + 20. Let f be 12\/(-14) - ((-7562)\/133 + 52). Solve 6*h - 4*h - f = y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29315\/1804*8\/30?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31185, 30884, 30583, 30282, 29981, 29680?\n\"Answer: -301*z + 31486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 - 4*i - 4. Is 12 a factor of g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 16\/(-6)) + (-291)\/(-9). Let y be 14*(38\/7 - 2). What is the greatest common factor of y and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10913 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10154071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19\/4 of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Let w be ((-2)\/10)\/(6 - (-78)\/(-12)). Which is the closest to w? (a) -1 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78949 is divided by 1578?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*g + 4 + 2*g**2 + 1)*(-9*g + 2*g - 7*g)*(2*g - 2*g + 2*g).\nAnswer: -56*g**4 - 56*g**3 - 56*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306384 and 4576.\nAnswer: 6740448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1063, -1029, -997, -967, -939, -913, -889?\n\"Answer: -s**2 + 37*s - 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 3) to base 11\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 17\/3 - (21\/9)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a - 18. Let u = 11 - a. Let h(v) = -4*v**2 + 3*v**2 - 3*v**2 + 5*v**u. Let d(l) = 2*l. Calculate d(h(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -8 + 46. Let l(j) = -3*j - 4. Let c be l(-3). Suppose 0*k + 54 = 4*k + 2*m, -5*m - 30 = -c*k. What is the remainder when p is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164\/3 + -54. What is the smallest value in -0.1, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 41 = 5*g, -3165*g + 7*h = -3170*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 4*t**2 - 12*t + 19. What is w(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 9*i**2 + 3. Suppose -4 = -3*f + 14. Let w be u(f). Find the common denominator of (-614)\/w + 2\/(-15) and -133\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 17*v - 13. Let g be h(-18). Let q = 1 - 4. Let i = 3 + -4. Which is the third biggest value? (a) i (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 961 - 909 = 0. Differentiate -51 + m**2 + o*m + m**2 - 194*m - 47 with respect to m.\nAnswer: 4*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose -v + 3 = -l*v. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n**4\/5 - 9056*n**3\/5 + 26422*n**2\/5 + 789176*n\/5 - 17600 = 0 for n.\nAnswer: -8, 1\/9, 11, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82555 is divided by 20548.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 3 (b) 2 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -20. Find the third derivative of -252*v**3 - a*v**2 - 25*v**2 + 208*v**3 wrt v.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13*v**3 - 29*v**2 + 39*v + 31. Calculate n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*d + 3*d + 41, 4*d - 134 = -2*l. Let t = 66 - d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73\/2 - 36. Suppose 0*n = -2*s + 3*n - 11, 2*s = -3*n + 19. Solve c - 1\/2*c**s - j = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 439, 663, 889, 1117?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620509 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/224662360 and 49\/1040.\nAnswer: 449324720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 274*f + 553. Determine w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 18*k + k + 12*k + 15*k + 0*k to the form s*k + w and give s.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298 by 13874.\nAnswer: 149\/6937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123014306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7274 - 7275. Which is smaller: -1770 or z?\nAnswer: -1770","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-7 - -3) - 12\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-1\/8)*i**(-1\/4)\/i*i**(1\/3) assuming i is positive.\nAnswer: i**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -52661 at least as big as -473941\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 363 and 122714229.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*l**5 + 2*l**4 + 731*l**3 - 213549*l wrt l.\nAnswer: 920*l**3 + 24*l**2 + 4386*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqooooooooooooqoq. What is prob of picking 1 q and 1 o?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -6*m + 11. Calculate the lowest common multiple of m and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (2 + 8)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 minus 933295?\nAnswer: -933291.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28801, -56604, -84407?\n\"Answer: -27803*d - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 16*k**2 - 8*k - 22. Is z(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 - 12*q**4 - 4*q**3 + 24*q**2 + 2*q - 12 = 0 for q.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-26) - 108\/(-26). Suppose 0 = j - t*j - 3. Let r = j + 5. Solve 2 = 3*d - d + r*l, -l - 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 8:23 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -91, 2\/15, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 - -90. Let t = 61 + p. Calculate the greatest common factor of t and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/33*3*2. Suppose g - 4*s - 222 = 0, -3*g = -j*g + 2*s - 204. Suppose 0*o = -5*o + g. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9705 divided by -3235.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(13\/2)\/a*a)\/a**(-1\/2) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 9622912.\nAnswer: 28868736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*s - 11. Suppose 3*h - 3*w = w + 652, 0 = 2*h + 3*w - 429. Suppose 3*y - 81 = h. Calculate the remainder when y is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 32 = 3*b. Suppose 5 = 2*i + 1. Calculate the smallest common multiple of i and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 3971?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -2\/25, -1\/7?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.71821l?\nAnswer: 6718.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -10 - (51 - 47).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1892*n**2*o - 4*n*o - 77*n + 2*o + 6 wrt n.\nAnswer: -3784*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 727 + -685. What is the remainder when j is divided by ((-22)\/6)\/((-8)\/(-3) + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 24 = -p, 0 = -2*z + 5*p - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17362.83s to microseconds.\nAnswer: 17362830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49523604.\nAnswer: 2, 3, 13, 317459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 1. Let x(j) = -j. Let o(p) = -5*k(p) + 6*x(p). Let u(b) = -7*b + 6. Let q(t) = -2*o(t) - 3*u(t). Calculate q(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33826 = 2232*j + 105250 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703384 is divided by 257.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 570*p. Let z(b) = 11*b. Give 4*r(s) - 209*z(s).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 - 17*o + 61. Is c(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 70, -3, 0 in increasing order.\nAnswer: -3, 0, 23, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 55. What is the remainder when m is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 a factor of 13237809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 22*y**2 - 70*y + 41. Let q be k(-18). Let c be -1*(25\/q + 1 + -6). Let w be (-2)\/(-8) + (-210)\/776. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 135\/(-10)*8\/(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 - 7*z - 1 + 4*z + 1.\nAnswer: -15*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 - 64*z - 240 = 0.\nAnswer: -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 - 0.71. What is the closest to 0 in -3, g, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -52*y - 284. What is d(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 9. Let b be (-1)\/y*-3*2. What are the prime factors of (6\/9 - b)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*v + 269370, 4*j - 673423 = -j + 4*v. Suppose 0 = -4*m - j + 30675. Let d be 4\/10 - m\/(-5). Round d to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/1 - (-10 + 10). Let q(k) = 40*k + 2*k**3 - 21 - 19*k - k**3 + c*k**2 - 2*k**3. Is q(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766.4055 centuries to months.\nAnswer: 919686.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/13 + 16766*u\/13 - 97128 = 0. Calculate u.\nAnswer: 76, 8307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 544, -3, -2\/7.\nAnswer: -3, -2\/7, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 23. Let o(y) = y**2 + 3*y + 4. Let n be o(a). Let x = 0 + n. Solve -x*t + 6 = -6*f + 4*f, 3*f - 21 = -4*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3 - 5*q + 5*q)*(-q**4 - q**2 + q**2).\nAnswer: -q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49857?\nAnswer: 3, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-9 + 6617))*4\/(-6).\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.952 - -0.048. Let f = r - 27. Let o = -6 - f. What is the nearest to 0.1 in -3\/2, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -407, -5, -198 in descending order.\nAnswer: -5, -198, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 2, v: 2, p: 1}. What is prob of picking 1 r and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -59 + (17 - 2) + 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2771 and 1904.\nAnswer: 5275984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.18 and -1521784180.\nAnswer: -1521784180.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43261, 88441, 133621?\n\"Answer: 45180*v - 1919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1224, 3, -4 in increasing order.\nAnswer: -1224, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7.7. Let q = w + 1.65. Let l = -1.84 + q. Round l to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2 + 5*k + 2. Let g(d) = -4*d**2 + 3*d + 1. Give 5*g(l) - 3*h(l).\nAnswer: 4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/19)*v)\/(v**(-16)\/v))\/(v*v\/v**(-2))**(2\/93) assuming v is positive.\nAnswer: v**(31468\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/1483 (b) -3\/7 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 + -2?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 540 + -11338\/21. Suppose 4*x - 9 = -1. Suppose 0 = -3*u - 2*w - x, -3 = -2*w - 11. Which is the closest to -2\/3? (a) l (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.054 - -37.204. Let z = -36 + m. Let v = z + -0.15. What is the nearest to v in 0.1, 1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**6\/120 + 7*u**5\/60 - u**4\/8 - 2*u**3\/3 + 3*u**2. Determine s(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m = -0*m + 540 + 80 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 5. Let p be a(6). Suppose 0 = -k - 4*k + p. Calculate the remainder when 1*33 - (-2 + k) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-375) - (-148)\/(-600)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 17. Let k(g) = -9*g - 4. What is the units digit of k(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -5 + 0*o**5 + 2*o**2 + 0*o**4 + 0*o - 5\/6*o**6 + 0*o**3. Find the second derivative of q(j) wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijiipkijxiapiippajj. Give prob of sequence xaj.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5095.\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 151, 223, 295, 367?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(-132*q + 30*q - 113*q) + 0*q - 5*q + 3*q + 17 - 2*q - 27 + 12.\nAnswer: 1071*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20021 - -1010024?\nAnswer: 1030045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 3*z + 2*z)*(2 - 2 + z**2)*(2 + z**2 - 2).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + i = 10*o - 16, 0 = -2*o + 4*i - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5940696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 25.52861.\nAnswer: 127.64305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 25*c**2 + 69*c + 101. Determine j(-22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31679 - -31727. What is the smallest common multiple of c and 7092?\nAnswer: 28368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 18823835?\nAnswer: 18823827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a (base 12) in base 4?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, -8, 1\/3, -72, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 17*p + 12. Let q be w(-9). Suppose -t + 540 + 528 = 3*y, y = q*t - 3244. What is the highest common divisor of t and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 7*k**2 + k + 13. Let q = 4654 - 4658. Calculate t(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100891\/22 + -4588. Let n = -193\/462 + -64\/33. Calculate the common denominator of d and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -74624?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 586 = 6*y - v, 3*v = -2*y + 1177. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(4 - (-12)\/(-2)). Solve -1 = -v*h + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*35\/(-90)*(-248)\/(-868).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101110000101111101 (base 2) in base 6?\nAnswer: 155245341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1293536674253 - 0.\nAnswer: -1293536674253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 31*x**2 + 43*x + 831. Give j(33).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/7)*c*c*(c*c\/(c\/(c\/c**(-28))))\/c*c)**(-4\/15) assuming c is positive.\nAnswer: c**(-304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -297405059 divided by 79?\nAnswer: -3764621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(190)\/(-5*sqrt(160)) + -2).\nAnswer: -2 - sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1271\/2 - 2641\/4. Calculate the common denominator of w and -13\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 + 140. Suppose 0 = 5*t - 10, 3*j - 23 = -z*t - 8. Solve a = -b - a + 13, -b - 7 = -j*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 339?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 117388, 469573, 1056548, 1878313, 2934868?\n\"Answer: 117395*w**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 56. Let p(c) = -c - 112. Calculate 5*m(r) + 2*p(r).\nAnswer: -2*r + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -14. Let t(m) = -m**3 - 3*m**2 + 6*m + 5. Let n be t(-3). Let g = q - n. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.23, -23\/2, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 7, -8, 2, 110 in descending order.\nAnswer: 110, 7, 2, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 + 75)\/(3\/2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1768 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4779198 + -6773844. Let f = h - -1994645.95799995. Let w = f + 0.042. Round w to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i - 17 = 147 + 84. What is the smallest common multiple of i and 4\/6 + (-2)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 4*c - 8. Suppose 106 = -15*b + 31. Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-12))\/(4\/6). Suppose 4*l = -2*o + 10, 5*o - 3*l + 13 = o. Let q be (6 + 15\/(-5))\/o. What is the second smallest value in q, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/15 + 4*c**4\/3 + 8*c**3 - 102*c**2 + c - 12. Let o(d) be the first derivative of q(d). Factor o(k).\nAnswer: 4*(k + 2)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) -4 (c) 28726\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-850)*(-170)\/51. Which is the second smallest value? (a) 1.7 (b) -0.3 (c) s (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 4, r: 2}. What is prob of picking 2 c and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152001 = -3371*l + 9083*l + 76479 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*o - 491 + 4745 = -525 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 1 h when three letters picked without replacement from nhywynnnwynwphhp.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 (base 14) in base 3?\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1603 = 7*b + 4165. List the prime factors of (-2 + 2\/(-6))\/(2\/b).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79090 and 1430?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/6 - 332*t**2 + 220448*t - 872. Factor o(a).\nAnswer: (a - 664)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425 divided by -5?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -50. Suppose -a - 3*b + 636 = q*a, -5*a = 2*b - 795. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 660.3183 millilitres?\nAnswer: 0.6603183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b. Let h = -0.95 + -0.05. Sort b, 0.4, h in descending order.\nAnswer: 0.4, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 765373.4 grams?\nAnswer: 0.7653734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.2, 5\/13, 2801550 in decreasing order.\nAnswer: 2801550, 5\/13, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001701958876 to 7 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -h, 2*h - 14 = -45*z + 50*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10973*i + 65846. What is g(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:42 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, 135, 308, 539, 834?\n\"Answer: s**3 + 20*s**2 + 54*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40038051 + -116?\nAnswer: 40037834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 132. Suppose -4*s + p = 14. What is the remainder when s is divided by -1 + 0\/1 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 9 = -o. Let x be -5*(o\/(-15) - 1). Solve -6*z = -x*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 1 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10726 and -65?\nAnswer: -697190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6822795 and 13575?\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.24852 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2) + -1 - -6. Let x be (-10)\/i + 4\/6. Let z be x\/(2 - 3)*1. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 5) to base 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 53. Let h = t + -63.9999892. What is h rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 44 = 4*b, 92*w - 4*b = 97*w + 8. Solve 3*s + 7*o = 9*o + 1, -w*s + 4 = -4*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5948 and 12?\nAnswer: 31.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5066 = 457*k - 440*k. Calculate the remainder when k is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034191 is divided by 2064.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2198698 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k - 12. Suppose -k*s = s + 6. Do -4 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 + 16*t**2 + 46*t - 40. Let s(c) = 11*c**3 - 31*c**2 - 93*c + 81. Let g(k) = 13*m(k) + 6*s(k). What is the tens digit of g(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p - 14 = 0. Let w = 9 - p. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from ngzdzznndnznznnnnnn?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 12:00 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/9)*k\/k**(-8)*(k**0)**(2\/15)*((k*k*(k\/k**(2\/5))\/k*k)**(-2\/7))**(-40) assuming k is positive.\nAnswer: k**(2425\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 35. Let b be 0 + (54\/(-8))\/(w\/(-2560)). What is b rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3556248, 3556250, 3556252, 3556254, 3556256, 3556258?\n\"Answer: 2*y + 3556246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f - 17*f - 4 - 76*f - 32*f to d + k*f and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 17*p - 23. Let x = -7 - -10. Let w = x - -4. What is the remainder when w is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1755 + -52699?\nAnswer: -54232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 303414 (base 15) in base 11?\nAnswer: 1323983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 + 16698*o**4*v - 34*o**2 - 1409*v wrt o.\nAnswer: -240*o**3 + 400752*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*7\/((-70)\/4). Let n be 3\/21*(-21)\/18. Which is the nearest to 2\/5? (a) -0.1 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 4. Calculate t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*((-o + o + o**2)*(4 - 1 - 4) - 4*o**2 + 0*o + 0*o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o + 4. Let z(d) = 1. Let c(s) = p(s) - 12*z(s). Let w be c(13). Suppose 44*v - 640 = 24*v. What is the highest common factor of w and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2997*d - 6001*d + 31*d**3 + 3005*d.\nAnswer: 31*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 11:12 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(576)\/sqrt(128).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*m**5 - 373*m**4 + 38*m**2 - 2*m + 6162747.\nAnswer: -440*m**3 - 4476*m**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.596 in 1\/2, 5, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -37*t + 621. Give r(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 211058964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160011898 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222085 (base 14) in base 3?\nAnswer: -121100101011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*x - 10, 0*d - 3*d + 6 = 3*x. Suppose -12 = -3*o - x*o. Solve 6 = 2*i - 4*g - g, 4*i - o*g = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/8 + 3)*4. Let a = x - 17. Solve -r = -a*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 159739*u + 28 - 4 + 159749*u - 62.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-44)*n\/((n\/n**14)\/n))\/(n\/(n\/n**26*n))**(2\/9) assuming n is positive.\nAnswer: n**(-311\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*j + 540*j - 205*j.\nAnswer: 59*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339089 (base 11) in base 16?\nAnswer: 59528b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -214 * -4\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (-5 + -1 + sqrt(80)))*-6 + 2 + sqrt(240)\/(sqrt(12) - -1*sqrt(12)*-4).\nAnswer: -34 - 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b**(2\/7)*b)\/b*b)**(-43)*(((b**(2\/13)\/b)\/b)\/b)**(-18\/11) assuming b is positive.\nAnswer: b**(-136765\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 399810.\nAnswer: 399810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4382 + -6168. Let l be 7*(f\/(-238) - 7). What is c in -6\/17*c - 50\/17*c**3 - l*c**2 + 4\/17 = 0?\nAnswer: -1, -2\/5, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1035d (base 16) to base 2\nAnswer: 10000001101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 1:45 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/936 and 41\/2295072.\nAnswer: 2295072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110110 - 101111?\nAnswer: -10100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(114) - sqrt(114)) - (sqrt(114) + (3*-1*sqrt(114) + sqrt(114) - sqrt(114))))\/(sqrt(54)\/(1*sqrt(441))).\nAnswer: 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - 86.6. Which is the second biggest value? (a) -3 (b) 141 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(35)\/(sqrt(21)\/sqrt(3)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 58\/3. Let l be (-18)\/8*8\/33. Which is the closest to 2\/3? (a) 5 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.951 - -0.549. Let x = 148 - i. Let n(d) = d**2 - 2*d - 1. Let r be n(-1). What is the closest to -5 in x, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {h: 1, e: 2, m: 2, k: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {v: 3, t: 2, g: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 6*c + 6. Let f(d) = -3*d**2 + 17*d - 17. Suppose 6*s = 9*s - 18. Determine s*f(m) + 17*u(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 126, 128, 130, 132, 134?\n\"Answer: 2*x + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-4)\/i)\/i)\/i)\/(i\/(i\/(i\/i**(-2\/9)))))**28*(i**(-5)\/i**(1\/12))**(-38) assuming i is positive.\nAnswer: i**(-667\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 - -95. Suppose -280 = -2*z - 4*f, h*f - 9*f = z - 134. Calculate the greatest common divisor of z and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -22*p. Let r(l) = -5*l + 2. Let s be r(0). Let u(o) = o**2 + 4*o**2 - 3*o**s. What is u(g(x))?\nAnswer: 968*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 86. Suppose 0 = -2*g + 4*g - 54. Suppose 3*z = -4*j + g, 5*z - 2*j - 40 = 31. Calculate the remainder when c is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 5*t + 258 = 279, 4*k - 3*t = 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1813193\/7 - -258505. Let u = v + 62389\/119. Let a = -7541\/6 + 1248. What is the common denominator of u and a?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6848 - 6847 - 6853 + 20545 + 6*b**2.\nAnswer: 6*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 102*g**2 - 14*g + 25. Let a be h(2). Let z = -401 + a. Let m = -10 - -15. Sort m, -2, z.\nAnswer: -2, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203920570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = x + 187391, j - 5544 - 88165 = 5*x. Let h = j + -49494. Round h to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 8*s**2.\nAnswer: -2*s**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 1, f: 2, w: 1, e: 4}. Give prob of sequence whee.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (5 - 15) - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 18*n - 372. Let r be q(24). Let s = 182545\/18 - 10135. Find the common denominator of 335\/(-6)*18\/r and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + (-5)\/10. What is the derivative of 0 + 0 + 1 + u*p**2 + 2*p**2 wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142599.\nAnswer: 3, 47533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c + 9. Let r be g(6). Suppose 0*p + r*p - 6 = 0. What is the lowest common multiple of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.697, -0.01, 0.12, -0.2 in decreasing order.\nAnswer: 0.12, -0.01, -0.2, -1.697, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17375, -67620, -151361, -268598, -419331?\nAnswer: -603560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100100110011110111?\nAnswer: 100100110011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 4*k + 5. Let s(d) = d**2 - 4*d - 4. Let i(v) = 2*a(v) + 3*s(v). Calculate i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r + 10. Let d(o) = o. Let t(j) = 6*d(j) + z(j). Let b be t(-8). Suppose -4*s = -2*h - 326, -b*h - 39 = -s + 50. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1557512955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u - 40*u - 87 - 23*u.\nAnswer: -47*u - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -11*d**2 + 177. Let g(s) = 3*s**2 - 59. Let y(c) = -7*g(c) - 2*m(c). Let k(q) = q. Determine k(y(o)).\nAnswer: o**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 977551446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -69, 3, 29\/4, 0.04, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-46)\/(-161))\/(5\/280*4))\/(5\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*x - 10827 = 22*x + 80*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30654 and 131\/54.\nAnswer: 91962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2519602000 rounded to the nearest 1000000?\nAnswer: -2520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 29?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h - 3*s, 7*h - 24 = 2*h - s. Suppose u - 6*u - 4*p + 200 = 0, 2*p + 134 = h*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2, 4*a - 4*s = -8*s + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 2*b + 6*b + 18 + 2*b**3 - 2*b as i*b**2 + f*b + g*b**3 + c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 301 = 13*h + 23*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 324, 487, 650, 813?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100010101001100000111 + -101?\nAnswer: 110010100010101001100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 1:00 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142369 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*x = x + 31, -8 = -4*r + 3*x. Suppose -b + 4*b - 81 = 0. Suppose 4*z - b = 3*z. Solve r*h = 7 - z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 times -0.1?\nAnswer: 60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 10*p - 7. Let c be y(-9). Let z be 3 - (c\/(-2) - -1). Suppose -4*o = z*s, -3*s - 2*s = -5*o - 35. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3108*m**3*n**4 - 2*m**3 + m**2*n**2 - 10*m*n**2 + 240*n**3 - 1214*n**2 + 3*n wrt n.\nAnswer: -74592*m**3*n + 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4180 is divided by 417?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 151991260 rounded to the nearest one million?\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -30) + -15 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*t = 0. Suppose -6*v + 2*v + 20 = t. Suppose -3*d + v*j + 95 = -0*j, 0 = 5*d - 4*j - 180. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3002*z = 7669 - 70211 - 118456 + 45908 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 5) to base 9.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -901\/2 - -4936\/11. What is the common denominator of 2\/1 + 35\/(-4) and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1 (c) -0.03 (d) -0.01 (e) -3 (f) 1\/18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (658\/94)\/((-2)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 58*j**2 - j - 6. Let y(t) = -2*t**3 - 60*t**2 + t + 8. Calculate -4*q(b) - 3*y(b).\nAnswer: 2*b**3 - 52*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32516*l**2*n**3*u**2 - l**2*n*u - l*n*u**2 + 92*n*u**2 - 15*n + 6*u wrt n.\nAnswer: 195096*l**2*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2778 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1971*q + 156. Let r be h(5). Suppose -r = -7*j + 34432. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3866 - 4230. Let d be (2\/(-4))\/((-9)\/6536). Let c = d + t. Calculate the common denominator of -32\/3 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(5\/4)*a*a*a**13*a assuming a is positive.\nAnswer: a**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m - 4*x = -21, -2*x + 3 = -m. Factor 0*j - 2\/7 - 2\/7*j**4 + 0*j**m + 4\/7*j**2.\nAnswer: -2*(j - 1)**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 53. What is the derivative of 16*f**2 + v - 38*f**2 - 43*f**2 + 33 wrt f?\nAnswer: -130*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (2*sqrt(17) + sqrt(17) - sqrt(17)) + sqrt(17))*-5 + (sqrt(17) - (sqrt(833) + 0)).\nAnswer: -26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-6) + 2968\/1344?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6773099*a**4 - 260*a**2 + 2197*a wrt a.\nAnswer: -162554376*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1913 or -1917?\nAnswer: -1913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6728 divided by -16.\nAnswer: 841\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5521*o. Let j(d) = 44*d**2. Calculate f(j(i)).\nAnswer: -242924*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.38 and -5.\nAnswer: -5.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**2*v**2 + 10729*p**2*v + 16*p**2 + 2*v**3 - 32623*v**2 wrt v.\nAnswer: 4*p**2 + 12*v - 65246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1) - (-19 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/38222775 and -31\/8046900.\nAnswer: 152891100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 2:02 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 107 - -0.0146852\nAnswer: 107.0146852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*l**6 + 3*l**4 - 74*l**2 - 2 wrt l.\nAnswer: -7440*l**3 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/4 + 15*y. Let t(a) = 3*a. Give q(t(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, -23, 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257 + 2*k - 257 - 147*k**2 + 2*k**2 + 2*k**2 - 2*k**2 + (4 - 3 + 1)*(k**2 + 0*k**2 - 3*k**2) + 0*k**2 - 2*k**2 + 0*k**2)*(k - 3 + 6 + 3).\nAnswer: -151*k**3 - 904*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3871214395?\nAnswer: 5, 774242879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7390007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w + 57*w + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8118*g**5 - 7*g**3 - 214412*g?\nAnswer: -162360*g**3 - 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*q + 30, -q = 3*l - 0 - 14. Let y(u) = -u - 15. Let m be y(-14). Sort 0, m, l, 1 in decreasing order.\nAnswer: l, 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -5*z**2\/2 + 3187. Let a(r) = -143*r**2. Give a(p(v)).\nAnswer: -3575*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*w + 93 + 67*w - 11*w with respect to w.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77463, 309847, 697153, 1239381, 1936531?\nAnswer: 2788603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228.4 - 242. Let h = 14.1 + r. What is the closest to -0.1 in h, 34, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:38 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 18*u + 9. Let m(a) = -3*a**2 - 16*a + 11. Determine 5*f(i) - 4*m(i).\nAnswer: 2*i**2 - 26*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-21 - (-6534425)\/311402) + (-2)\/39 and 56\/177.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237381.\nAnswer: 3, 67, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -26. What is the smallest value in o, 1\/6, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -773, -1019, -1255, -1475, -1673?\nAnswer: -1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - 8*(-4)\/8. Let b = h + -71. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 11*b**6\/30 + b**4\/2 - 8*b. Find the third derivative of q(s) wrt s.\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6831 divided by -9.\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*i - 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1. Let z(i) = 2*i**2 + 70*i + 467. Let m be z(-26). Let w(d) = -d - 3. Determine m*w(h) + 4*b(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599962.4cm to micrometers.\nAnswer: 5999624000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 204*u**2 - 35*u - 240. What is the tens digit of c(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-55)*((-140)\/14)\/((-2)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - 3) + ((-14 - 1) + -3 - (564 - 583))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 902\/9?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (256\/(-320)*(-18)\/8)\/(203\/(-290))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - 1 - 0 - 1. Let k(j) = j**3 + 3*j**2 - 17*j + 1. Let d be k(-5). Calculate the highest common factor of h and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/11)\/f)\/f*f)\/f)\/(f**14*f*f*f)*(f\/f**(3\/7))**38 assuming f is positive.\nAnswer: f**(223\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -17*o**3 + o**2 + 6*o + 4. Calculate the smallest common multiple of s(-3) and 10.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 2*u + 9. Determine p(-5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37576, 37577, 37578, 37579, 37580?\nAnswer: 37581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -9, -13 in descending order.\nAnswer: 1, -2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 4 - 21) + (-2 - -3). Let b be (((-7)\/z)\/(-1))\/(2\/66). Let p = 0.2 + 0.8. Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s**(2\/25)*s)\/s)*s*s*s\/(s\/(s**(4\/9)*s))*(s**(-1\/4))**19 assuming s is positive.\nAnswer: s**(-347\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (432\/(-540))\/((-6)\/(-12)*4\/3).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/25*((-3)\/8)\/(((-10764)\/(-80))\/(-39)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 + 3*t - 1. Let f(g) = g - 7. Let m(a) = a - 6. Let v(w) = -2*f(w) + 3*m(w). Let s be v(6). What is n(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1053 + 1056. Solve y*o + 16 = -4*v - 2, -4*v + 3*o - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzlglyggklgz. Give prob of picking 1 y and 1 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 91*y - 2031. Determine a(-52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, p: 4, d: 9}. What is prob of sequence pq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 8*r + 7*r)*((-4*r + 2*r + 3*r)*(-5 + 4 + 0) + 3*r + 2*r - 3*r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3280326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 159*l**2 - 15*l - 4. Suppose 9*a = 5*a - 44. Let x be t(a). Round x to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 3*q - 3. Let s(y) = y. Let f(k) = -3*s(k) - t(k). What is the first derivative of f(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 - -223?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 75 = -5*z, 2*z - 2*m + 32 = -3*m. Let r = z + 44. Suppose -13 = j - 5*j - 5*i, -2*i - r = -3*j. Solve 2*c = y - 1 + 15, -2*y + j = 3*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 5*h**2 + 24*h + 4. Let n be m(-8). Let c be ((-86)\/(-129))\/(n\/(-18)). Let f(z) = z**3 + 2*z**2 - 1. Calculate f(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 71035200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/19*3762\/(-396). Let j = -18 - -13. Sort 5, j, -1, i in descending order.\nAnswer: 5, -1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3745 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-1*(-1)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 - -128. Let b(i) = -2*i + 20. What is the least common multiple of b(a) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)\/(h**(-3\/5)\/h)*h**(-4\/9)\/h*h**9)\/((h**6*h)\/h*h*h*h*h*h\/(h\/(h**(-3\/2)*h))*h)**7 assuming h is positive.\nAnswer: h**(-5851\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/136 and 73\/170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 175, 170, 165?\n\"Answer: -5*n + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -13 (b) 44 (c) 414 (d) -3\/8 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 1}. What is prob of picking 3 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -78. Let a be (2\/(-4))\/((-2)\/(-16)). What is the third smallest value in p, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 * 13337\nAnswer: 3347587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-6) + 0 - 119630\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 366.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, -2 in descending order.\nAnswer: 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvksvksvvvosvvpvp. What is prob of sequence vvos?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -536880 by 35792.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/51*(-2)\/16)\/((-3)\/30).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + f + 5*a = -45, f - 303*a + 241*a - 801 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*f + 4*c, 2*f + 5*c + 16 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 1\/5, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 110. Let w be 6 + -5 + -1 + x. Is -6\/29 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + g - 5 = 0, 5*g = 8*p - 5*p + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325 - -2734. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - 4*133\/(-98). Sort -1\/3, h, 0.2, -1\/5 in decreasing order.\nAnswer: h, 0.2, -1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3))**(-13))**(-45)*(k**(2\/5))**(4\/17)*(k**(-1\/3)*k)**(1\/29) assuming k is positive.\nAnswer: k**(2884916\/7395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 32 + 5*z + 4 + 0.\nAnswer: 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9137, -37784, -85533, -152390, -238361, -343452, -467669, -611018?\nAnswer: -773505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 233*o**2 + 2*o + 3. Is 12 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*s**4\/3 - 255*s**3 - 633*s**2 - 1547*s\/3 - 134 = 0. Calculate s.\nAnswer: -67, -1, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -26*h - 3. Let d(s) = 13*s**2 - 4*s**2 + 3*s**2 - 5*s**2. Give w(d(l)).\nAnswer: -182*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 3) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3655 or -0.1?\nAnswer: 3655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 1. Let k be y(1). Suppose 0*q = q - k. Find the third derivative of -q*c**6 - c**2 + 0*c**6 + c**6 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-1610)*14 - 112\/10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5516383ml in litres?\nAnswer: 0.0005516383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 1 s when three letters picked without replacement from kwkkksskzksksswkws.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/1105*(-10)\/(-6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 90*p**2 - 781*p - 4201. What is u(-81)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-5 + 25) - (5 + 15)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -54. Suppose -p*j = -11*j + 8765. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4 (c) -0.34 (d) -5 (e) -50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n - 76*n + 20*n - 111 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, 10*h - 4*i = 6*h + 68. What is the highest common divisor of h and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026967753 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/525 and 119\/1100?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 98*v**2 + 1821*v - 74. Give k(-25).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8399132, 16798264, 25197396?\nAnswer: 33596528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661430 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.04775?\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26073500 to the nearest one hundred thousand.\nAnswer: -26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 9. Let o be x(-8). Let d = 86 - 175\/2. What is the nearest to 0.01 in o, 5, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 6*j - 1. Let w(v) = -2*v**2 + 7*v. Suppose -4*c + 13 - 5 = 0. Let l(a) = c*w(a) + 3*g(a). Is l(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -439073, -2.\nAnswer: -439073, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 23 = -g, -2*g = 3*f + g - 36. Let y(m) = 5*m**2. Let w(l) = -l**2 - 2*l - 2. Let v be w(-2). What is the remainder when y(v) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1851 - 1849. Let t(m) = m + 5. Let w be t(-4). Let p = -24 + 24.3. Sort p, a, w, 4 in descending order.\nAnswer: 4, a, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**7\/7 - 7*k**6\/30 - 17*k**3\/6 - k**2 - 229*k. What is the second derivative of w(u) wrt u?\nAnswer: 120*u**3 - 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -756*i + 270*i + 238*i + 236*i. Let p(y) = -101*y. What is b(p(x))?\nAnswer: 1212*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*1*sqrt(102) - 6*(sqrt(102) - sqrt(102)*2))\/((sqrt(6) - sqrt(486)*-5)*4).\nAnswer: 2*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -649, -636, -623?\n\"Answer: 13*g - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.92245 - 169324\nAnswer: -169324.92245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 71 + 15 = 0. Suppose -5*f + 39 = l. Suppose f*g + q = 4*q + 2048, -814 = -2*g - 4*q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -212\/283, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h - 3*f - 81, 2*f - 42 = -h. Suppose 10*p - h = -2. Solve -15 = -5*y + p*z, -2*y + z + 20 = -3*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 33310012?\nAnswer: 33310001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/17725 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2480576\/(-271313)*1*1\/(-8).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000442324015 to six dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 13*y**2 - 10*y + 59. Let p be h(-14). Suppose 0*z - 5*z = x - 328, -5*z + 20 = 0. Suppose p*r = -4*r + x. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58696 is divided by 29312.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, 4, 3 in descending order.\nAnswer: 123, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (8 - 29) + 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2586 - -1\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (5 - 24\/(-6)). Sort u, -56, 4, -1 in increasing order.\nAnswer: -56, u, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.12, -1\/8, 1, 2\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0 + 49\/6*r**3 + 0*r**5 + 1\/24*r**6 - 93*r**2 + 1\/10*r**7 + 0*r + 0*r**4. What is the first derivative of k(h) wrt h?\nAnswer: 84*h**3 + 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3477, -3232, -2987, -2742?\n\"Answer: 245*l - 3722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23409382.\nAnswer: 2, 37, 316343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -112 + -1 + (20 - 17). Let z = 109 + u. Let f(o) = 12*o + 1. Calculate f(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 3*u = -5*h - 3300, 0 = 4*h + u - 2647. Let c = h + -3103. Round c to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -8*s**6\/15 - 5*s**4\/4 + 19*s. Find the third derivative of j(f) wrt f.\nAnswer: -384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 33, 75, 145, 249, 393, 583, 825?\n\"Answer: p**3 + 5*p**2 - 2*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(((sqrt(275) - (sqrt(275) + sqrt(275) + 1 - sqrt(275))) + 5 - sqrt(275))*-2 + 2))**2.\nAnswer: -38880*sqrt(11) + 368064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 13*o**2 + 5*o + 5. Let a(h) be the second derivative of -h**5\/20 + 7*h**4\/12 + h**3\/2 + 3*h**2\/2 + 2299*h. What is -5*a(f) + 3*x(f)?\nAnswer: -f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18478 + -18441. What is the remainder when 3652 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 16*o - 4*o + 13*o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1573233.500024 + 1573309.5. Let y = j - 76. What is y rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f + 47*f - 24*f - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**4\/4 + 14*o**3\/3 + 3*o**2 - 20*o + 22. Let l be a(-13). Let n = l - 69. Calculate the remainder when 22 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 9 = p, 0 = 2*r + 4*p + p + 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**3 + 16032*z**2 - 21418752*z + 9538484224 = 0.\nAnswer: 1336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 34922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 49891 - 8741. List the prime factors of c.\nAnswer: 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 779, 781, 785, 791, 799, 809, 821?\n\"Answer: c**2 - c + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 258*m - 16372. Give g(54).\nAnswer: -2440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/16, -1, -0.1, 0.2?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (5 + 1 + sqrt(117)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-7))\/((9\/7)\/((-18)\/819))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 582*t**3 - 2*t - 4 + 820*t**2 - 821*t**2 as i*t + a*t**2 + z + s*t**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 8*l - 11. Let p be k(8). Let o(r) = r**3 + 12*r**2 + 12*r + 15. Let x be o(p). What is the units digit of (-3)\/(-2)*x\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 145146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b. Let j(f) = -716*f**2 - 4*f + 1. Give z(j(y)).\nAnswer: 4296*y**2 + 24*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*j + 2*l - 14, -l = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26934 - -26926. Let o = 0.2 - 0.1. What is the third biggest value in -2\/5, z, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/88 and -5\/1342816?\nAnswer: 14770976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0.2, -26, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.2, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 7)\/((-2)\/10). Suppose 0 = -2*b - l + 14 + 5, -5*b = 5*l - 60. Suppose 0*r + 6 = 3*r. Solve -z*n + r = b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + t - 17 = 0, -4*g - 8*t = -6*t - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7821572 is divided by 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/6 - 16937*g**3 + 579886118*g**2 - 20679925273700*g\/3 + 6993992255773488.\nAnswer: (g - 33502)**3*(g - 1116)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 176*s - 18204 = 46476. Calculate the greatest common factor of 180 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 9*t**2 + 52*t + 65. Calculate d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + 37 + -10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**4 + w**4 - 3 - 2*w - 4*w**3 - 3 + 4 to u*w**2 + s + r*w**4 + g*w + k*w**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -47. Which is the nearest to o? (a) -0.3 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*y**5 - 18511*y**2 - 59592*y + 12.\nAnswer: 560*y**3 - 37022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/9 + 24*n + 214\/9 = 0. What is n?\nAnswer: -107, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -21. Let y be b\/(-7) - (6 + -8). Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, and 1 o when three letters picked without replacement from {o: 3, a: 5, w: 1}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:23 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*((-24)\/9 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 11. Suppose g*o - 3*o = 0. Solve -3*k - q = -13, 0 = -5*k - o*q + 3*q + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11234\/287 + -44)*(-1 - 6)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 12*k + 8. Suppose m - 6*m + 30 = 0. Let g be d(m). Let y = 46 + g. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2475586, -4951173, -7426760, -9902347, -12377934?\nAnswer: -14853521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8 + 4*v + 3*v**2 - 2*v**2 - 10. List the prime factors of s(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6614940 is divided by 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12937864*a**2 + 13935112 wrt a?\nAnswer: 25875728*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758 + 82 = 40*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1599447002?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184756 and 765776.\nAnswer: 169236496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 653?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 62854625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -18*k - 2*f, -92 + 88 = 11*k + 9*k - 16*k - 4*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54280 divided by -590?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43250*a**4 - 20*a**3 - 947655*a**2 wrt a.\nAnswer: 1038000*a - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3. Let r = 0 - t. Let v(q) = -q**3 + 10*q**2 - 23*q + 16. Let x be v(7). Which is the closest to -1? (a) x (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 5598*c**2 + 2018853*c + 2013258.\nAnswer: 3*(c + 1)*(c + 487)*(c + 1378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*y + 74. Let t = -4432 - -4600. Calculate the remainder when t is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (-81 - 63 - -56)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -13, 5, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (409*w - 206*w - 240*w + 4*w + 0*w - 3*w + (5 - 5 - w)*(0 + 0 - 1) - w + 0*w - 2 + 2*w)*(-w + 0*w + 5*w).\nAnswer: -136*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238.9573 plus -0.01?\nAnswer: 1238.9473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6 + (-22)\/(-4). Let g be -1*1*(b - 9). Suppose 2\/9*t**g - 2\/9*t - 2\/9*t**4 + 0 + 2\/9*t**2 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000798556 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -155, -351, -547, -743, -939?\n\"Answer: -196*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*s + 12, s + 3*s - 18 = w. Suppose -o - 3*q + 6 = -s*o, 0 = -4*q + 8. Let d(g) = g**3. Calculate d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1*(-1)\/2. Let s = 387 + -383. Suppose -6 + s = x, -4*q + 4*x + 8 = 0. Sort q, 2, r, -1.\nAnswer: -1, q, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 357964672*i*t - 30*t + 1389503 with respect to i.\nAnswer: 357964672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 851341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.39 * -4349.\nAnswer: -14743.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = b - n, -26 = 3*b - 2*n - 48 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 2, k: 2, q: 3}. What is prob of sequence qk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*p - 3, p + 9 = 3*y. Suppose -77 = -5*v + 38. Let h = v - -13. Calculate the highest common factor of y and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trnnnrtnntonntttnttt. Give prob of sequence nrto.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 115.8\nAnswer: -2200.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.323 - 0.32611. Round h to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1)\/(-12)*(46\/1288)\/((-33)\/(-44))?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 0.1. Let t = f + 1.4. Let h = t + 0.1. Which is smaller: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.17, 2, -2681 in decreasing order.\nAnswer: 2, 3\/7, -0.17, -2681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 5, h: 7, z: 1, c: 1}. What is prob of picking 1 z and 1 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*q + 346873 = 346600, 98 = -2*v - 10*q for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -2766 = 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = 0, -r - 645 = -4*b - 130. What is the remainder when 1533 is divided by b?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 2. Let y = 2.1 + a. Let o = -0.063 + -0.137. What is the nearest to y in 1, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3)\/(3 + (-1)\/1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8890 - -8907. Calculate the greatest common divisor of m and 6137.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17720882713746.04000008 + 17720883810918. Let z = i + -1097172. Let h = z + 0.04. What is h rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -637, -638, -639, -640, -641?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 90) + 58 - 30\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let w(y) be the first derivative of 0*y - 3 - 1\/2*y**2. Give x(w(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 + 9.89. Let x = d - 9.92. Let m = 0.81997 - -0.18003. Put 0, x, m in descending order.\nAnswer: m, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 7\/3, -0.4, 1, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -9*k**2 + 9\/2*k**4 + 12*k**3 - 12*k + 9\/2 = 0.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2))**(-8\/5))**(-21) assuming t is positive.\nAnswer: t**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2215*t**3 - 124*t**2 + 135868*t - 4?\nAnswer: -13290*t - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g**3 + 7\/6*g**4 + 0*g + 5\/56*g**8 + 0 + 0*g**6 + 0*g**5 + 12*g**2 + 0*g**7. What is the second derivative of q(z) wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.1. Let m = -50 + 45. Which is the closest to z? (a) 4 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*d**5 - 2*d**5 + 3*d**5)*(1 - 3 + 1) - 203*d**3 + 203*d**3 + 60*d**5.\nAnswer: 40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5 - 20 + h + 11. Let p be b(4). Solve p = -y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2)\/(1 - 2). Let c(u) = -2*u - 6. Let r be c(-4). Let i be 8\/10*5\/r. Put i, q, -2 in increasing order.\nAnswer: -2, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - (23 + 50)) + -1 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2184 by -2184.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 108617112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f + 20. Suppose s + 0*s - 3*r - 8 = 0, -2*r - 27 = -5*s. Suppose 0 = -s*j + 8*j - 15. Solve -2*n + 0*o - 4*o = -20, -j*n - f = -2*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -1.17. Let z = b - -0.13. Let l = 4 + -6. What is the second biggest value in l, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - 8\/(-3). Let r be (-1)\/h*0 + 15. Solve 0 = u + 4*u + r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-6)\/20) + (-24)\/18. Solve 6 = -2*q - m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i + 1. Let p be ((-15)\/(-5) - -3)\/2. Let v(a) = 1 + 6*a**2 - p*a + 2*a + 7*a. Let n(h) = 5*q(h) - v(h). What is n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10696 + 16469. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 - 2*i + 3. Let w be t(0). Suppose k - 11252 = -w*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -13*u - 8 + 1 - 6 - 9. Let p be f(-14). What is the greatest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38304 and 2048?\nAnswer: 2451456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -13*b**4\/21 - 4*b**3\/21 + b + 26. Solve x(w) = 0 for w.\nAnswer: -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*d - 37. Suppose j = 4*j - t - d, 2*t + 12 = 4*j. Which is the closest to -0.2? (a) 0 (b) j (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672322754?\nAnswer: 2, 336161377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.74 + -0.8. Let x be (-5)\/4*(12 - 6 - 1080\/225). Put 0, p, x in ascending order.\nAnswer: x, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 15) in base 2?\nAnswer: 10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-105) - (-403)\/(-15). Let d = s + 74. Suppose 5*p = 78 + d. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 26*w**2 + 20*w - 125. Let x be u(-25). Factor -t + 1\/2*t**2 + x + t**3 - 1\/2*t**4.\nAnswer: -t*(t - 2)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219477*h**3 - 344 + 168 + 176 - 219475*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2 - 9570765*l + 19141550 = 0.\nAnswer: -1914155, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 563 - 565. Sort 4, -3, 3, k.\nAnswer: -3, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.372 - 0.272. Is w greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l - 2628. Let s(p) = 19*p - 7882. Give -11*j(f) + 4*s(f).\nAnswer: -f - 2620","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*q, -x - 4 = -4*q + 2*q. Suppose -q*k + 20 = 4*m, 2*m = 2*k - 6 - 12. Is (-2)\/(-4)*k*34 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 130 = -2*r + 2*s, 0 = -r - 5*s + 83. Calculate the highest common divisor of r and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.038 - 15.962. Let x = n - -15.94. What is x rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by -1633.\nAnswer: 176\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 14*c**3 - 100*c**2 + 207*c - 8. Give g(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -546.7, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-238)*-7*(-12)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 12. Let i be o(-9). Suppose -4*h + 31 = -i*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Let f(y) = y**3 + y**2 + 3*y - 3. List the prime factors of f(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1 - (-2145)\/(-1188) - 156\/208.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-378))\/(186\/651).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.08 - 0.08. What is the fourth smallest value in 0.2, u, 1, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {g: 1, p: 1, t: 1, b: 1, w: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(11) - sqrt(33)\/sqrt(3)) + sqrt(121)\/(sqrt(11) + sqrt(11)*2))**2.\nAnswer: 2*sqrt(11)\/3 + 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 12:30 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -8\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1386091, -1386098, -1386107, -1386118?\n\"Answer: -u**2 - 4*u - 1386086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**3 - 370*x**2 - 561*x + 153. What is o(94)?\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9334)\/(-52)*(-4)\/(-2) is divided by 79?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -0.53 in increasing order.\nAnswer: -4, -0.53, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*p = p, -4*f - 6 = -2*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 139*f + 341. Calculate t(-67).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (17 - 7) + -10 - -1480 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + -5 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6699809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 300874, 601752, 902630, 1203508, 1504386, 1805264?\n\"Answer: 300878*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31213343 is divided by 1506?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 4*j**2 - j**2)*(-2*j - 2*j + 2*j) + 3*j - 4*j - 3*j**3 + 5*j**3.\nAnswer: 6*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**4\/4 - 31*v**3\/6 + 13*v**2. Is o(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.5. Let w = -1.5 + t. What is the second smallest value in w, -0.1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6850 + 6828. Which is the closest to -0.2? (a) d (b) 0.2 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350474 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 800?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let g be p(3). Suppose z - g*z = -24. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827109.\nAnswer: 3, 29, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 29)*4\/(-48)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 245*o**2 - 1068*o - 4. Let s(d) = -251*d**2 + 1067*d + 6. Let z(r) = -3*j(r) - 2*s(r). Find the second derivative of z(k) wrt k.\nAnswer: -466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1872) + (sqrt(1872)*2 - sqrt(1872)) + -5)**2*-6*5*-4 + -2.\nAnswer: -3606242 + 115200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 7 + 3. Let h = 108 - 635\/6. Let k = -8\/3 + h. What is the third smallest value in -0.1, k, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, u: 5}. Give prob of sequence ue.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2*r**3 + 2*c**2*r**2 + 2227*c**2*r + 24132052*c*r**3 - 4*c*r**2 + 6*c - 6*r**2 wrt r?\nAnswer: 18*c**2 + 144792312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 10 = -3*s. Let x(m) = 685*m**2 + 1893*m**s - 3*m + 1169*m**2. Let z be x(-1). Round z to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 10:22 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*b = -391*b + 930*b + 888 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**3 - 84*i**2 + 1428*i - 1.\nAnswer: 42*i - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 + -96. Let a = 73 - g. Suppose 2*z + 4*r - 4 = 3*z, r = -a*z + 14. Solve -4*f - 20 = -4*w, -4 = -z*w - 0*w - 4*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4648963 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 3. Find the second derivative of -3*r**3 + y*r + r + 5*r**3 - r**3 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tntn when four letters picked without replacement from thttnhthnhthh?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s**2 + s - 1670. Let n be y(0). Round n to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -245, -2399, -6017, -11099, -17645, -25655, -35129?\n\"Answer: -732*i**2 + 42*i + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222112000221 (base 3) to base 6.\nAnswer: -15104341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((-27)\/21 - -3). Let h(d) = 9*d - 57. Let v(k) = -17*k - 79. Let g be v(-5). Let l be h(g). Which is the smallest value? (a) t (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*g**(1\/6))*g*g*g\/(g\/(g\/(g*g**(-3\/2)*g))*g)*g*(g**(-1\/16))**37)**(2\/7) assuming g is positive.\nAnswer: g**(1\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2601 and 765.\nAnswer: 13005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/4 - n**3 + 3*n**2\/2 + 6*n + 55. Let w be 10*1*4\/(-10). What are the prime factors of g(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 14132 = -d + 28574, -128078 = -3*d + s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 52*c - 765. Let l be m(61). Which is bigger: l or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 23623 = 1423. Is 74 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -50. Let h(z) = -z. Let f(u) = 4*h(u) - m(u). Let l be f(5). Is 30 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 + 5*i. Let x(j) = j**3 - 2*j. Let r be ((-4)\/(-5))\/((-1)\/((-15)\/(-6))). Give r*u(a) - 5*x(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 200*y**5\/7 + 570*y**4\/7 - 902*y**3\/7 + 86*y**2\/7 + 54*y\/7 - 8\/7 = 0?\nAnswer: -4, -1\/4, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5900370 to the nearest ten thousand.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35881363 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2246999096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5743 is divided by 715.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 21 - 3. Let i be 3\/(-18)*-3*(t - 3). Is 0 + (-1 - i - -650) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (111*m**3 + m**2 - 535*m**3 + 924*m**3)*(3 - 1 - 5 + (-2 - 1 + 1)*(-3 + 0 + 1)) to y*m + i + b*m**3 + r*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -2*n**3\/3 + n**2 - 1627. Let f(l) = -3*l + 3. Calculate w(f(u)).\nAnswer: -18*u**2 + 30*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k. Let u(w) = 6*w**2 - 3. Let l(i) = 35*i**2 - 17. Let d(j) = -6*l(j) + 34*u(j). Give f(d(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**2 + 8*f**2 + f**3 - 1 - f. Let t(y) = -5*y**3 + 6*y + 5. What is 6*k(a) + t(a)?\nAnswer: a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1800 and 263700.\nAnswer: 527400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -105441.780898 minus -1923?\nAnswer: -103518.780898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/7))\/h*h*h*h**3)**27\/((h*h\/(h**(-3\/10)\/h)*h*h**(-2\/5))\/(h\/((h\/h**1)\/h)*h)**(-21)) assuming h is positive.\nAnswer: h**(5307\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/21 - 38\/(-6). Let t(y) = -y + 7. Let z be t(h). Solve g = -4 + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**3 - 10*v - 11. Let t be q(-1). Solve 3*x + 3 = 2*u - 0*x, -3*x = -5*u - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 158? (a) -7 (b) -1 (c) 2\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/18000*-15*-3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23 + 2)*(1 + 2). What is the common denominator of 2\/(-7) - (-528)\/r and -38\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -34. Let n = v + 17. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 = -10, -4*k = s - 203. Let p = -30 + k. Let c = 30 - 22. What is the remainder when p is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1111285 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1279560 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 11*z = -60. What are the prime factors of -2*3\/z*5120\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**8\/336 - s**4\/6 - 3*s**2\/2 + 2. Let z(v) be the second derivative of a(v). What is the second derivative of z(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 3*x. What is s(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 - d**2\/2 - 6. Suppose 2*z - z - 1 = 0. Let g = z - -2. Determine p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -13.72. Let y = b + -0.72. Are y and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 6*g**2 + g - 4. Let k be h(6). Suppose 10 = k*a + 3*a. Let z = 7 - a. Solve -5*t = 3*c - 20, 0 = -2*c - 0*t + z*t - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 5 + 2 + 4 + 3. Let a be i(6). Suppose 5*r = -2*z + a + 33, -7 = -r - 3*z. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/4))\/y)\/(y*y**(10\/11))*(y**(-6)*y*y)\/(y**(3\/20)\/y) assuming y is positive.\nAnswer: y**(-529\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + a + a + 36 = 0, 45 = 3*i + 3*a. Suppose -r + 0*n = -2*n - i, -5*n + 55 = 5*r. Calculate the highest common divisor of r and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {i: 1, v: 14}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3 + 93*k + 150.\nAnswer: -6*k**2 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211449404 and 712.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 882.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:33 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + o**3 - 1 + (0*o**2 - o**2 + 0*o**2)*(-13 - 4*o + 13) + 0*o**3 + o**3 - 2*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4)\/14 - 100\/56.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = 10*l - 7*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -1 (c) 0.2 (d) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:17 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1797 - 0.8233. Let f = k - -0.003. Which is the nearest to f? (a) -2\/5 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354 (base 7) to base 9.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18042*c - 10499*c + 4841*c.\nAnswer: -23700*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = -3*a - 3*w, a = -5*w - 23. Solve 2*t - 6 = 2*d, -t + 4*d = -a*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 + 14 = 2*m, m = -5*l + 27. Suppose 3*x = 12, m*x + 564 = 2*h + 2*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 26.6. Let f(q) = -q**2 - 12*q + 14. Let z be f(-13). What is the closest to z in -0.1, k, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 3:30 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131677 is divided by 4247?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/60 + 7*j**4\/24 + 2*j**3\/3 + 7*j**2. What is the tens digit of g(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.21 rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751700587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - n - 4, 3*x + 3*n = -x - 12. Suppose -2641 = -4*w - 3*t, 4*t + 1962 = 6*w - 3*w. Suppose -f - f + w = x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*a + 109*a + 51*a = 268 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1429\/1108 + 11\/277. Which is the biggest value? (a) p (b) -4 (c) 2\/5 (d) -169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 - 7 - (2 - -4). Let y(x) = -6*x + 10. Is 11 a factor of y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.5 or 10608?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3178831 millilitres to litres.\nAnswer: 0.0003178831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18 and -1929.\nAnswer: -1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1306 + 2613\/2. Find y, given that -1\/4*y**4 - j - 7\/4*y - 9\/4*y**2 - 5\/4*y**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -205, -310?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 26. Let f be s(8). Solve 0 = 2*o - o - f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92059*n**2 + 149394.\nAnswer: -184118*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*h - 5786 = -5716, 134 = -3*f + 7*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*s*w**3 + 6*s*w + 2*s - 146*w**5 + 235*w + 2 wrt w?\nAnswer: 276*s*w - 2920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (44\/(-12) - (-4 - -1)). Suppose -g - 2*p = -3, 12 = 4*g + 4*p - 4. Suppose 0 = -2*j - g + 1. Put 3, r, j, 2\/5 in ascending order.\nAnswer: j, r, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 greater than 543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 22 = -5*a, 12 = 10*a - 7*a - 3*i. Solve 4*y + 45*m - 49*m = -8, -a*y - m = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -73, -111, -141, -151?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2470 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.998 + 0.132. What is s rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 6, l: 4, k: 2, i: 1}. What is prob of picking 1 i and 2 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**2 - 5. Let f(w) = 6*w**2 - 3. Suppose 0 = -40*l + 42*l + 10. What is l*f(x) + 3*j(x)?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 10*i**2 + 0*i**5 + 0*i**6 + 0 + 1\/105*i**7 - 3\/2*i**3 + 0*i + 0*i**4. Find the first derivative of f(s) wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, 34508, 1.4?\nAnswer: 34508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12315.95671229 - -12198.956713. Let u = -117 - n. Round u to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 6. Suppose 0*p - 4*p - 2*g + 2 = 0, 4*p - g - 11 = 0. Suppose 5*k - p*k = 42. What is the least common multiple of k and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 3*l + 1. Let j be q(2). Suppose 3*t - 4*r - 48 = 0, 0*t = 2*t + 4*r - 12. Let i = t - 6. Calculate the highest common divisor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9595?\nAnswer: 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*u + 64 = 0, -o + u = 2*u - 34. Let z be 9\/(-6)*2\/o. What is the third smallest value in -4, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743472 divided by 185868?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + j**2 + 2*j**3 + 17*j**4 + 8 - 18*j**4 - 10 as k*j**3 + c*j + g*j**2 + m*j**4 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 14. Let l be w(17). Suppose 2*t + 6 = 4*g, -2*g - 4 = l*t - 27. What is the third derivative of 28*b**4 + 0*b**2 + 2*b**2 - 63*b**g wrt b?\nAnswer: -840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*q**3 + j*q - 2*j + 5*n*q**3 + 2*n*q + q**5 - 4*q**2 wrt q.\nAnswer: 12*j*q + 30*n*q + 20*q**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:05 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 2 = u. Let o = 5 - u. Suppose -135 = -2*r - 3. What is the highest common factor of r and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 9\/8 (b) -1\/4 (c) 114\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -246*t + 760. Let x be j(3). Solve 3*h = 5*v + x, -4*v - h = -2*v + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/448*-16)\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 323*n**2 - 2 + 4*n**4 - 3*n - 324*n**2 - 2*n**3 to l*n**3 + g*n + o*n**2 + a*n**4 + r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4. Let f = 0.95 - 0.65. What is the smallest value in 3, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1820\/(-156)*(-6)\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 11:24 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 76*w**2 + 56*w - 402. Is 27 a factor of x(-77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(-26279 + 26279 + 363*i) as w*i + p and give w.\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i**2 - 2481*i + 2485*i - 1 + i**2)*(1 + 6 - 2) in the form g + h*i**2 + r*i and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 253273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.35 + 16.2. Sort n, -24, 4 in descending order.\nAnswer: 4, n, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427*r**2 - 5 - 428*r**2 - 30 to the form g*r + w + l*r**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 32 + 24. Suppose -h*x = -18*x + 3600. What is x rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 5*m - 181. Determine p(15).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3035 and 13354?\nAnswer: 66770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 4*o + 3*f + 4, 5*f - 10 = 0. Let a = o - 25. Suppose -5 - a = -3*n. Solve 5*t - 4*i - 23 = -5*i, -n*t + 22 = -i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*q = -10 - 0, 2*q - 8 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091605 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 5*d + 3*d)*(4 + 2 - 4)*(-2 + 2 + 2*d).\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 12*v + 4. Let s(j) = -j**2 + 12*j - 5. Let o(q) = -4*k(q) - 3*s(q). What is the remainder when o(11) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -2. Let p(q) = -q**2 + 10*q + 4. Let l be p(8). Let a = b - l. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.599 * 12105.\nAnswer: 7250.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(3836\/133 - 13 - 16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7)**(-35) assuming n is positive.\nAnswer: n**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 13255245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 176 = 4*w, -3*q = -2*w + w - 264. Suppose 5*c + 18 = q. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 21*i**3 + 117*i**2 + 159*i + 66.\nAnswer: -3*(i - 11)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6286 take away -3?\nAnswer: 1.3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655738102 rounded to the nearest one million?\nAnswer: 2656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.01. Let o = -73 + 0. Let c = o + 73. What is the biggest value in n, c, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8398 is divided by 8396.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0624 + 46.8376. Let o = 46.85698 - j. What is o rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2445556 and 1504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 12) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 336, 722, 1082, 1404, 1676?\n\"Answer: -2*f**3 - f**2 + 403*f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64\/3 of a decade?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 4 + 3 + -1 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1.1, 234, -10, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhwewwwjhjhdyhd. Give prob of sequence jdw.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 112, 246, 432, 670, 960?\n\"Answer: 26*f**2 + 4*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 6. Let n be c(-6). Let j be 3\/(1 - 3\/n). Find the second derivative of -3*v - j*v**4 + 4*v - v**4 wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16*p**3 - p**2. Let u(m) = 6*m**2 - m - 8. Let z(s) = 5*s**2 - 2*s - 8. Let o(x) = 6*u(x) - 7*z(x). Let w be o(-7). List the prime factors of y(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:55 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -7*d + 8*d - 5*c, -3*c + 6 = 0. What is the remainder when d is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 845 = -7*l - 6*l. Let o = 75 - 10. Let v = o + l. Solve 2*s + 3*s + 15 = v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 22*s**4 + 11 - 24*s**4)*(-70 - 59 + 146 - s).\nAnswer: 2*s**5 - 34*s**4 - 44*s + 748","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + c = -4*c, -3*c + 3 = 0. Solve 5 = -x*j - 2*y - 16, 4*j + y = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.762 + -12.762009731. Round y to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.7 + 234.3. Let j = x + -275.2512. Round j to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6337381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3*w**2 + 351. Let k(b) = 20*b. Give k(n(p)).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -287 divided by -812\nAnswer: 41\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 + 80 - 5*v**2 + 992 + 2*v**2 as k + x*v**2 + p*v and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in -2\/5, -1\/7, 0.5, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 0*r**3 - 2*r**3)*(9*r + 8*r - r)*(-25*r + 28*r - 36*r).\nAnswer: -528*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekpmkmkvk. Give prob of sequence ke.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 81804.9 centuries?\nAnswer: 818049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33432389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 114, 5, 3, 4 in decreasing order.\nAnswer: 114, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*n - 2*n**3 - 3*n**4 + 9*n**2 - 6 + 11*n - n**3.\nAnswer: -3*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from amcjnad.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 22 + 3)*(-13*q + 20*q - 15*q) - 3*q + 5*q - 3*q.\nAnswer: 263*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 4. Let f(b) = b**2 + 6*b - 9. Give 5*a(y) + 2*f(y).\nAnswer: 2*y**2 - 8*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10199*a*c**3*r - 43*a*c**2*r + 3*a*c**2 - 3*a*r - 821*c**3 + 845*c**2*r wrt c.\nAnswer: -61194*a*r - 4926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a second in milliseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76882.37 millilitres?\nAnswer: 76.88237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50505506.16 - -7.4.\nAnswer: -50505498.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*n**4 + 1 + 0*n**4 + 4*n**4 - 14*n**4 + (-n - 2 + 2)*(-n + 2*n**3 + n) in the form q*n**4 + r + s*n + h*n**2 + c*n**3 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Let i = 898 - 479. Let b = i - 418.5. Sort b, c, -0.03 in descending order.\nAnswer: b, -0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(2*i - 2 + 2) - 2*i + 5*i - 2*i + 0*i + 4*i + 0*i + 5*i + 3*i + 18*i to z*i + w and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**6\/180 + 13*x**3\/6 + 4*x. Let h(f) be the second derivative of p(f). Let m(q) = -4*q**2. Give h(m(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 2*b + 3*p, -5*b + p = 17. Suppose 2*x - 4*g + 206 = 0, 0 = 3*x + 6*g - 4*g + 277. Sort b, x, -4 in ascending order.\nAnswer: x, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrcxsrxxxxxxxr. What is prob of picking 2 r and 1 c?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -0*n. Suppose 3 = 2*h - n. Suppose -5*v + 35 = 5*a, v = 5*a + h*v - 36. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by (-18)\/12*(-268)\/6?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 5*t. Let c = 22 + -8. What is the lowest common multiple of c and k(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -43, -107, -197, -313, -455, -623?\n\"Answer: -13*y**2 + y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.18 + -14.18. What is the closest to j in -0.9, 1, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149104 + 381734 = 10*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -165, -6, -0.4, -341, 8 in increasing order.\nAnswer: -341, -165, -6, -2, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a + 1. Let s(j) = 10*j**2 + 5*j + 6. Let m(l) = -6*f(l) + s(l). Let y(i) = 2*i**3 + 9*i**2 - 115*i - 551. Let n be y(-5). Calculate m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:39 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100997 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/14 + 1*9\/(-63). Let t be (-82)\/126 - (-2)\/9. Let n = t + 2\/21. What is the smallest value in 2\/15, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**3 - x - 2. Let q(s) be the first derivative of s**4\/4 + 10. What is -h(i) - 4*q(i)?\nAnswer: i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/28103 and -1\/8311?\nAnswer: 233564033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {p: 2, w: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:32 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -355811 to the nearest 1000.\nAnswer: -356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1060361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 23*u - 2. Let y(s) = 46*s - 5. What is -5*p(i) + 2*y(i)?\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*z = 35, 2*d - 4*z - 2 = -32. Let q(h) = h**2 - h - 12. What is q(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-2) - (21 + -52)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziz when three letters picked without replacement from zlizyilzzizy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 - 22*m**2 + 13*m - 13*m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -58*u**3 + 5683*u**2 + 103*u - 506. Give s(98).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let y(u) be the third derivative of -u**4\/24 - 5*u**3\/6 + 6*u**2. Let j(n) = 3*n + 18. Let l(v) = -5*j(v) - 18*y(v). What is k(l(z))?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*s**4 - s + 23*s**2 - s**2 - 6*s**2 - 9*s**2 - 4 as u*s**4 + x + m*s**3 + a*s**2 + j*s and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -47?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (528\/(-96)*(-1)\/11)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*v**3 + 17*v**2 - 4*v + 2 - 32*v**3 + 8*v**3 to p*v**3 + l*v + j + k*v**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -52*o + 17. Let n(f) = -9*f + 3. Let s(k) = -34*n(k) + 6*z(k). Let p(b) = -6*b - 1. What is s(p(w))?\nAnswer: 36*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 12:14 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433652740.\nAnswer: 2, 5, 787, 27551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v + 105 = -38*v. Calculate the greatest common divisor of v and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 440. Suppose 15*z = 10*z + f. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scsscssrcssrr. What is prob of sequence scsr?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1140.\nAnswer: -1\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -73*h**3\/2 - 59*h**2\/2 + 26*h. Is v(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:25 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*i - 41, 82*i - 87*i + 7*c = 14 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/23 (b) -6\/7 (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*s - 8, -3*s + 12 = -2*s - 3*d. Suppose s = m + 3*m - 924. Let h be (-2)\/7 - (-108)\/m. Which is the third biggest value? (a) h (b) -3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(19) + sqrt(76)\/sqrt(4))*2 + sqrt(19) + (sqrt(19) - (3 + (sqrt(133)\/sqrt(7) - sqrt(19)))))**2.\nAnswer: -36*sqrt(19) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/5 - 307374*r**2\/5 - 614712*r\/5 + 2458944\/5 = 0. Calculate r.\nAnswer: -102456, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2128\/11 - 194. Suppose 19*s = -7*s - 26. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 0*d - 2*d + 3*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*c + 29, -2*c - 6 = k + 13. Let l be c\/68 + (-140)\/(-34). Suppose 0 = -l*o + p + 57 + 4, 4*p = -4*o + 76. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 23, 46\/61 in decreasing order.\nAnswer: 23, 5, 46\/61, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016577167134 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23897, -47703, -71509, -95315?\n\"Answer: -23806*b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 18. Let r(x) = 4*x - 1140. What is -r(t) - 4*v(t)?\nAnswer: -4*t + 1068","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -30. Solve u - 25 = k*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6813 greater than or equal to 325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19150 - -28427. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -19. Let u = 26 - 16. Calculate the smallest common multiple of u and p + -6 + 3 + 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5310 and 51507.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kby when three letters picked without replacement from cccbkcbccbyckbckbccc?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 2*s**2 - 6*s - 14. Let g be w(-6). Suppose 2*q + 8*j - 3*j = 620, -q + 310 = j. Is g smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = -61*i + 923 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 12*i**2 - 2*i - 24. Let q be x(-12). Suppose q = -10*h + 152 + 208. What is the remainder when 101 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Suppose 3*h + 2 = 2*h. Let o(c) = 5*c - 1. Suppose 34*u - 151 + 15 = 0. Suppose -3*b = -u*p + 53, -19 = -3*p - 4. Calculate b*d(z) + h*o(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617755337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 243*k + 4. Let b(t) = 2*t. Calculate f(b(l)).\nAnswer: 12*l**2 - 486*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {w: 1, a: 2, r: 1, o: 2, v: 1, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -3716?\nAnswer: -3715.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97376 is divided by 251.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + g = 3, 3*t - 2*g + 15 = 3*g. Solve t*l - 4 = 4*l + 2*y, 4*y = -l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585*r + 4325 = 590*r. Is r a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 18. What are the prime factors of a(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3 + 118*a**2?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/110 and -133\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5154 (b) 3 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759304 is divided by 151853.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8102b1 - 5?\nAnswer: 8102a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -20. Let l(u) = -119*u - 353. Let j be l(-3). Sort 2\/3, j, k.\nAnswer: k, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 89 - 1) + 3. Suppose 4*s + s + 41 = o, 3*s + r = 3*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 1, p: 3, f: 3, o: 5, z: 2}. What is prob of sequence wap?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8) + (5 - 2\/(-8)). Let j(z) = -z**3 + 6*z**2 - 3*z + 6. Calculate j(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19496, 3\/32, 12 in increasing order.\nAnswer: 3\/32, 12, 19496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 55, 100, 163, 250, 367?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 y, and 1 p when four letters picked without replacement from {d: 8, y: 2, p: 5, w: 1, o: 3}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 9497.482.\nAnswer: 379899.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*q + 15, -3*w + 15 = -6*w + q. Let b(h) = -2*h + 14. Calculate the remainder when 68 is divided by b(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/28 - (1000\/315 - 3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**7\/28 + 7*r**6\/60 - r**5\/8 + r**4\/24 - 91*r. Suppose y(b) = 0. What is b?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(0 + -1) - 6\/(-33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 43?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81552 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28980910 divided by 5?\nAnswer: 5796182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/10 + 35*u**4\/12 + u**3\/3 + 11*u**2 + 9*u. What is the second derivative of z(p) wrt p?\nAnswer: -12*p + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42818*u**2 + 20213 wrt u?\nAnswer: -85636*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let p be f(1). Let o = p + 3. Let g = 9 + o. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from {q: 1, t: 4, z: 2, i: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, -17, -0.012 in ascending order.\nAnswer: -42, -17, -0.012, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 2174 = -9*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 1:38 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2256880 and 1.57.\nAnswer: -2256878.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1428?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (6 + -15)) + (-4 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 10*j**2 - 2*j - 8. Determine y(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(2\/2)*-23*(-96)\/(-2760).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -13*f**2 + 11*f - 4. Let r(h) = 4*h**2 - 4*h + 1. Determine 7*r(w) + 2*s(w).\nAnswer: 2*w**2 - 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141635126 to the nearest integer?\nAnswer: 11901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -91*n**3 + 3*n**2 + 5*n - 8. What is p(1)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - c - 21 = 0, -c - 13 + 4 = -n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = -3*u. Let g be -2 + (6 + u)\/3. Let k = g - -16. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 13*y - 23*y. Suppose h = y*h - 97023540. Let t = h - 6222354. Round t to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-2048)\/112)\/(-16))\/2. Let h(r) be the first derivative of -v*r**3 - 13\/28*r**4 - 1\/42*r**6 + 15 + 0*r - 2\/7*r**2 - 6\/35*r**5. Factor h(c).\nAnswer: -c*(c + 1)**2*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 7. Let d be z(14). Let q = 7 - d. Solve -f - 2 - 2 = q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 33 + 1 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h**2 - 1000*h - 6688.\nAnswer: -4*(h + 76)*(3*h + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.8 + 49. What is the closest to -2.5 in i, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 930 = -132510. What is u rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 8 - 18, 3*x - 8 = -l. Let q(c) = 80*c + 485. Let y be q(-6). Put -2, l, y in descending order.\nAnswer: y, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -5, 10838, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/8, -3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 minus 577.5785?\nAnswer: -580.9785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**3\/6 + 2*v**2 - 10*v. Let k be s(2). Let o(d) = -2 - 27*d**k - 4*d - 26*d**2 + 52*d**2 + 0*d. Calculate o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*p - 3*p. Put 2\/5, 2\/17, p in ascending order.\nAnswer: 2\/17, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21 + 16 + 291\/162 + 2 and 52\/63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12910 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 3*q + 205. Let s = -85 + 85. What are the prime factors of h(s)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.054 (b) 121 (c) -207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 92.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118434*j = -118211*j - 6244 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let q(r) = -4*r**3 + 4*r + 3. Give -q(w) - 4*t(w).\nAnswer: 4*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, g: 4, o: 2, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5598180827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 32 + 10)*(-6*s + 9*s + 5*s)*(-3*s**2 + 3*s**2 + 2*s**2).\nAnswer: -896*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 27*y - 22*y. Let q = 8 - 6. Let b(i) = 4*i**3 + i**2 + 2*i. Let c be b(q). What is the highest common factor of y and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0 (b) -2\/5 (c) -404 (d) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = t - 3*t, g = -3*t + 8. Let f be 2*1*g\/2. Let q = 3 - 2. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k - 7 = -4*u, 0 = 5*u + k - 16. Suppose u*g - 22 - 2 = 0. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -5, 100, -1, -4, 19, 20\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 118502?\nAnswer: 118503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/4)\/((-2457)\/(-10920)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - -8.88. Let s = f + -8. Which is the nearest to -1\/2? (a) 0.2 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -23*k**2 + 73*k + 49. Differentiate r(w) wrt w.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 156910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - 88\/(-40). Suppose -36 = -3*t + 2*q, -g*t + 48 = 2*t - q. What is the remainder when 70 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 - (-8 + 3))) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 0 + 0 - (0 + sqrt(99) + 1)) + -5*(sqrt(99) + 0)*4)**2 + -5.\nAnswer: 120*sqrt(11) + 39596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, -90, -316, -632?\n\"Answer: -45*n**2 - n + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/26647712 and 11\/16654820.\nAnswer: 133238560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -179a4 - 1bc4?\nAnswer: -19898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let f be b + 0 + 0 + 2. Is -38*f\/(-8)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 8410 + 2014 = 0. What is the remainder when 1392 is divided by v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g + 1. Let n(i) = 2*i**2 - 4*i + 4. Let t(c) = -4*j(c) + n(c). Let q(b) = -b - 5*b + 2*b. What is t(q(p))?\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 0*h + 5*h)*(-16 - 12 - 6)*(-1 + 2 + 2)*(-2 - 1 + 5) in the form v + g*h and give g.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2547698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 36 + 6*h**3 - 6*h**3.\nAnswer: -3*h**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 0. Suppose 5*k = 13*k - m. Suppose 0 = -4*r - k*l + 58, r - 73 = -3*r - 5*l. What is the remainder when 33 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -50553.\nAnswer: 2\/50553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 138*p - 14283.\nAnswer: -(p - 207)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 57*a**5\/7 - 1711*a**4\/7 + 1569*a**3\/7 + 3279*a**2\/7 - 58*a\/7 = 0.\nAnswer: -1, 0, 1\/57, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438203641*v**3 + 590253*v - 405 wrt v.\nAnswer: 2629221846*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -108, 1.7, 0.04?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*h + 10 = 189*h. Let g(k) = 8*k**3 + 24*k**2 + 12*k - 6. Let p(v) = 8*v**3 + 25*v**2 + 13*v - 7. Let n(t) = h*p(t) - 3*g(t). Factor n(y).\nAnswer: -2*(y + 1)*(y + 2)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 6. Suppose -2*l - 3*l + 10 = 0. Suppose 0 = r - 5*r + l*w + 68, -3*w - 6 = 0. Suppose -4*y - r = -0*y. Let b(i) = -i - 5. Give y*n(j) - 5*b(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + f**2 - 4*f - 4. Give b(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 0 + (-18 - -26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 2. Let x be s(-3). Let c be 12\/(-2 - x) + -3. Suppose -5*m - u - u = -27, -m + 8 = c*u. What is the highest common factor of m and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 8*w**2 + 3*w - 10. What is i(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56700 + -420?\nAnswer: -57120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 0, -0.092?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)*(-22)\/(-88 + -22). What is the closest to 16 in -0.5, t, 1\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180 times -0.09\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.898 + -30682.\nAnswer: -30683.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(153)*-2 + sqrt(153)))**2 - (sqrt(153) + -4 + sqrt(153) + 1)**2) + 3 + -3 + (sqrt(153) - (sqrt(153) + -1)*6 - (sqrt(153) + 0)*-3)**2)*-4.\nAnswer: -15408 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1191 + -1194. Let t = 59 + -84. What is the closest to t in 0.2, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2538*v - 1769*v - 753*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:56 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1839 = 3*c + 4*w - 550, -1586 = -2*c + 4*w. Let r = 63 - 48. Calculate the highest common divisor of c and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(846\/(-411)) + 1. Let o = w - -74\/705. Which is the nearest to -1? (a) -3 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10911, 10888, 10941, 11070?\nAnswer: 11275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:05 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1)\/((-4)\/(-6)). Suppose 0 = 5*w + 120 + 35. Let d = 35 + w. Solve -d = a - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 2.17 (c) 262\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -199 or -200?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24132557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 8481*v - 9 + 3 + 0 - 1.\nAnswer: -8481*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-2\/5)*m))**(-20))**1 assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-4))\/((-768)\/576)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592920 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.64 take away 12?\nAnswer: -22.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 286066.57 rounded to the nearest 100?\nAnswer: 286100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:10 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 - 33. Let h = 63 - -24. Let d = r - h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-386 - 59*k + 386)*((6*k**2 + k**2 - 11*k**2)*(2 - 2 - 2*k) + 1 - 7*k**3 - 1).\nAnswer: -59*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 273633. Suppose -2*o + 73979 = m. Let r = -349792 - o. What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 - 15 - (-2 + 1 + (9 - 6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3249099338, 3249099339, 3249099340, 3249099341, 3249099342?\n\"Answer: c + 3249099337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 - ((-6)\/(-21) + (-26)\/(-7)). List the prime factors of 351 - c\/(105\/28).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63648661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 23*p - 373, 2148*h - 2145*h - 3*p + 45 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*4633\nAnswer: -324.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39667545 to the nearest integer?\nAnswer: 6298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ddmdddddmdmmdd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g = 33. Suppose 0 = -j + 6*j - p - 3, -3*j + 2*p - 1 = 0. Calculate the greatest common factor of g and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51857 or 51778?\nAnswer: 51857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520\/(-1235))\/(8\/304).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -1356, -3289, -6056?\nAnswer: -9657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 537398 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(1*sqrt(180) + sqrt(180)) + 4)**2.\nAnswer: -768*sqrt(5) + 23072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*t = 68*t + 54*t + 4140 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -42533129\nAnswer: 170132516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ad (base 16) to base 11.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 67 = -i + 11*n, 5*n = -5*i + 215. Suppose 0 = i*o - 38*o - 72. Let r(z) = -z**3 + 8*z**2 - 7. Give r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.1605 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nntttntnnnn. Give prob of picking 2 n.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*l + 0*l - 139*l**2 + 16*l to the form u*l + b + x*l**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3767706 is divided by 1828?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 235 + 40 - 2*j**2 + 1387 + (2 + 2*j - 2)*((1 + 0 - 3)*(0 + j + 0) - j + j - 2*j - j + 5*j - 3*j) in the form f + k*j + w*j**2 and give f.\nAnswer: 1662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2807, 2, -3\/5, 14?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - f + 1. Let x(z) = -20*z**2 + 69*z - 9. Let g(o) = 4*o**2 - 13*o + 2. Let v(r) = 11*g(r) + 2*x(r). What is -3*d(n) + v(n)?\nAnswer: 7*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 656*w**3 + 143*w**2 - 11*w + 11. Let s(p) = -657*p**3 - 130*p**2 + 10*p - 10. Determine -10*n(b) - 11*s(b).\nAnswer: 667*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -44. Suppose -l*j + 2*j - 9500 = 0. What is j rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12989\/136 - 765\/8. Which is the closest to 23? (a) -1\/6 (b) -3 (c) 22 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -340, -775, -1390, -2191, -3184, -4375, -5770?\nAnswer: -7375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26 and 578.\nAnswer: 578.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - t**3 + 0*t**3 + 4*t**2 - 2 + 3*t - 2*t**2. Let j be f(3). Suppose 7*x - 4*x = 0. Solve x = h, h = -4*y - 3*h - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 4*i**3\/3 - 34*i**2 + 240*i + 896. Solve o(d) = 0.\nAnswer: 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 41889*m - 40450*m - 28.\nAnswer: -82339*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) 2160\/7 (c) -6 (d) 1 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12988\/(-37774) - 11\/(484\/(-16)). What is the closest to -1 in 5, -2\/13, -5, v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1176)\/49)\/(-12)*4\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 32\/209?\nAnswer: 32\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21434 - 21434. Solve 5*j - h - 11 = z, 239*j + 2*h = 242*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (34 - 63) - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(17) + -5 + 2)**2 + ((sqrt(85) + -2*sqrt(85))*-3)\/((sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: -9*sqrt(17) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 283391619.\nAnswer: -283391619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + (-455)\/52 - (-2)\/(24\/57). Let r be 1 + (4 - -1) + -2. Solve f = -h - r*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 145967, 145968, 145969, 145970, 145971?\n\"Answer: h + 145966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*f = 3, 5*p + 67 = -3*f + 97. Let w(j) be the first derivative of 1\/3*j**3 - p + 5\/2*j**2 + 0*j. Give w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*g = -14, r + 2*r - 3*g - 12 = 0. Solve 2*c - 5*k = -12, 4*c - r - 27 = -3*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: 3715 (base 9) to base 8\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.3, 8, -6.8, 2.27, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279 - 5*n + 279)*(2 - 2 - n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 10*c - 9. Let l(g) = 6*g**2 + 30*g - 27. Let w(t) = -11*k(t) + 4*l(t). Let q be w(1). Solve q*b = 5*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13480721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrhrrwqr. What is prob of picking 1 r, 1 h, and 2 q?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 192.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -287 + 287. Solve k = 4*z - 4*l + 2*l + 16, z + 22 = 5*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 29918 = 29150 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -702235522 rounded to the nearest 100000?\nAnswer: -702200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 7}. Give prob of sequence eekk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 27 = 7. Let g be 146*1 - l\/2. Let u = -55 + g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 23852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*b - 279*b = -65. Suppose b*o - 17*o = -16. Is (-6)\/o - (-3162)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 3*o**4 + o**2 + (2 + 1 - 1)*(-9*o**3 + 0*o**3 - 4*o**3)*(-31*o - 30 + 30).\nAnswer: 809*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -14 + 39\/(-143)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 110011001011110?\nAnswer: -110011001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-4)\/(2 - (2 + 2))). Solve 5*o - 32 = 4*y, -4*o - 4*y + 4 = -b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 81 = -p. Let g = p - -40. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 748 + -602. Solve 0 = -39*l - 10 - q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/3, -0.8, 2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 8*t = -12. Sort -1, t, -3 in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 29. Let y(d) = -d + 14. Let z(g) = 2*v(g) - 5*y(g). Let f(i) = -3*i**2 - 118*i + 87. Let p be f(-40). Calculate z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -271*x - 2427. Let t be l(-9). Suppose 4*q + 0*o - 104 = -4*o, -q + 5*o + 50 = 0. What is the greatest common divisor of t and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001007847 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)*(-88 - -84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2. Let i(q) = -557011*q**2. What is g(i(y))?\nAnswer: 1861567524726*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -398 or -150893\/379?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -1) + (24 - 31) + -7 + 5 - -58.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 603578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/5)*t)**(2\/113)\/(t**(-6)\/t**5))\/(((t**(-6)*t)\/t**(1\/4))\/(t\/(t**(-1)\/t)*t)**(-14\/9)) assuming t is positive.\nAnswer: t**(204541\/20340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*o + 4)*(-2*o - 1 - 2*o + 6*o) as w + s*o + c*o**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392181321 and 11746.\nAnswer: 5873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 + 31*q**2 - 54*q - 54. What is the thousands digit of o(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279 and -0.0498?\nAnswer: -13.8942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -114, -256, -482, -798, -1210, -1724, -2346?\n\"Answer: -a**3 - 36*a**2 - 27*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:54 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**5 + 3*v - 3*v - 2)*(1 + 3 - 5) - 30*v**5 + 20*v**5 - 19*v**5.\nAnswer: -31*v**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1208 (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -130*r**2 + 7*r - 6. Let m be f(1). Let t = m + 133. Solve -10 = -3*u + u - 4*j, -t*u + 4*j + 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299591404.\nAnswer: 2, 7, 53, 201881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 4. Let n = m - -7. Let b = -1.23 + 0.23. What is the closest to 0 in -1\/5, b, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 + (-22)\/(-33)*-18 is divided by 480\/42 + 12\/21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1188 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*c - 3295 + 3339 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/7, 31, -26, -7, -65?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 13) to base 5\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 3*v**2 + 37*v + 13. Let d = -333 - -340. Let j be u(d). What is the highest common factor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 2*g - 5*a, 4*g + 16 = 2*g - 2*a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {d: 1, b: 18}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 314131 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 13*s**2 - 21*s - 19. What are the prime factors of z(-14)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 629*u - 38772 = 9032. Solve 0 = 27*r - u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160.21 + -3.21. Let o = -199 + b. Is -2\/7 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8) + -12 - (-60 - -50)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5 - 1 = 0. Let t be (-2)\/(s\/1) - -1. Factor 0 - 1\/2*k**t + 1\/2*k.\nAnswer: -k*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*m = -110*m - 103*m + 4*v + 289, -m + 385 = -5*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22744.26725 * -0.4.\nAnswer: 9097.7069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 58, -2\/11, -58, -1\/27 in descending order.\nAnswer: 58, 2, 0, -1\/27, -2\/11, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000286 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**3 + 6795*o**2 + 3078135*o + 464798385 = 0.\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*n + 6. Sort n, -4, -2, -3.\nAnswer: n, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*5\/4 - 1. Let j = -1.56 - -2.56. Which is the smallest value? (a) j (b) 3\/8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 79\/3. Let t = 46 + -46.1. Put -53, -0.3, t, z in descending order.\nAnswer: t, -0.3, z, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*j - 3*c - 71, -j + 3*c = -14. Suppose -3*z - 21 = -9. Let v(q) = -q**3 - 3*q**2 - 5*q - 14. Let s be v(z). Do s and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 >= 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 3. Let v = 3 - 9. Let w be 8\/v*9\/(-2). Is t(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58229111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 9 = -5*y + v, -2*y - 3*v = 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z**2 + z + 3. Let t be r(0). Suppose -t*s + 36 = s. Does 11 divide 1 + 11 - (10 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrmiz. Give prob of sequence qm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from cyuxccccaauuf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 2254\/84) + (-7458)\/(-1584)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l + 17*l + 25*l)*(-4*l + 4*l - l).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149399575 a multiple of 3034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186353\/10 - -18643. Let g = 8104\/15 - 536. Find the common denominator of g and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.1442335 - 33.137. What is o rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o. Let i be u(-4). Let t = i + 33. Solve -3 = -b + 4*q, t = -2*b - 3*q - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/42)\/((-456)\/266)*42.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2147 bigger than -714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.92 + 0.12. Round m to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3*3\/9. Let y = f + 3. Does 9 divide -3 - y\/(-2) - -20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/1482*(-27)\/(-36)*2\/(-1)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*n - 1276 - 11618, 5*w - 16116 = -7*n. Does 74 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44364155 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 + 3*k - 7. Let p be n(-5). Suppose p*i = i - 7968. Let u be i\/(-21) + (-4)\/(-14). What is u rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 14*y - 7. Calculate the highest common divisor of y and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k + 35. Let w be 0 + -4 + 1\/1. Calculate the remainder when w\/(1 - 176\/164) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/3, -0.19, -0.05, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/546)\/(((-2016)\/(-936))\/14)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22695 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: Which is the third smallest value? (a) 274 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - ((0 - 0) + -2 + 788 + -764)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.65 + 0.35. Suppose 919 = -10*h + 929. Which is the third smallest value? (a) h (b) 2\/15 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/8559, 0, -0.4, 9 in increasing order.\nAnswer: -0.4, 0, 2\/8559, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/7, -72, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 209 and -0.9.\nAnswer: 208.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 23*n - 14. Let u be f(-6). Calculate the common denominator of 412\/(-6)*(-6)\/u and 4\/11.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(190)*-2)\/sqrt(10).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y + 4*y**3 - 25*y - 20*y - 18*y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 5*c**2 - 4*c + 4. Let l be q(-4). Solve l*i - i = 4*u + 1, 1 = -3*u + 2*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2944*b**3 + 551 - 2*b**4 - 563 + 3*b**2 + 2945*b**3 + 2*b to a + g*b**4 + w*b**3 + j*b + m*b**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:29 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {f: 2, p: 5, g: 9, x: 1, b: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(6\/(-14))\/(279\/1953).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003896 rounded to 4 dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 15. Let l be d(-6). Suppose -2*i - 2*i = 4*p - 12, p - l = -2*i. Let g be 0 - -3 - (-1 + 0). Solve p*y = g*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -364849 + 0?\nAnswer: -364849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 60. Let v be 2599\/92 + (-1749)\/212. What is the greatest common divisor of v and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -33, 3, 1 in descending order.\nAnswer: 3, 1, -33, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*d**3*g*i - 19*d**2*g*i + 2*d**2*i + 2*d*i - 1711*d - 2*g*i wrt d?\nAnswer: 534*d*g*i - 38*g*i + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1763896108 divided by 26.\nAnswer: -67842158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2180094 and 4.\nAnswer: -8720376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 0 = -24. Solve 4*g + 3*n + l = 3*g, g - 2*n = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3)*(m\/((m\/(m\/(m\/(m**19\/m))))\/m))\/m*m**(-11)\/(m\/((m\/(m*m*m\/m**(1\/15)))\/m)))**(-14) assuming m is positive.\nAnswer: m**(-238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284000 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 36 = 11*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -6477?\nAnswer: 6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -9) + (4 - 23) + -10 + 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9111.1 to the nearest 100.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:23 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -1.2. Which is the third smallest value? (a) f (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {v: 2, t: 2, c: 4, p: 1, e: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from aaakkalzzakllltall?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14570953153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515782 and 6379214?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 4)*(0*c**2 - c**2 + 2*c**2).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let d(i) = i**3 + 62*i**2 + 791*i - 12. Let a be d(-18). Sort y, a, -4, 5.\nAnswer: -4, y, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or -8\/4551?\nAnswer: -8\/4551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8 - (-9 + 4 + -7)) + 26?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q)**42\/((q\/(q**4*q*q))\/q)**41 assuming q is positive.\nAnswer: q**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 2*a**3 - a**3)*(41*a**2 - 110 + 110) + (2*a + 0*a - a)*(-3 + 3 - a**4) + 0*a + 2*a**5 + 0*a + 0*a**5 - 2*a**5 + a**5.\nAnswer: -41*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 19 = -6*s. Suppose -j = -s + 17. Let x(n) = -j - 11*n + 10*n + 3. Let g(t) = 23*t. Give x(g(k)).\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + -3 + (8 - (25 + 8))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 20, -1\/6, 1, 2\/29, 2\/11, 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384141701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 8*i**2 + 4*i - 17. Is m(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 68. Solve 3*p - 10 = y, -2*p = -h*y - 5*p + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/21, 4, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0204 and -145.\nAnswer: -2.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 27*i - 30*i. Let g(m) be the third derivative of 0 + 1\/96*m**4 - m**2 - 1\/240*m**5 - 1\/480*m**i + 0*m + 1\/24*m**3. Factor g(a).\nAnswer: -(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -h + 1. Let c(t) = t**2 - 8*t. Let y be c(6). What are the prime factors of y\/21 + h\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbby when four letters picked without replacement from bbyddyddbbddddbdddd?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j = -35*j - 15. Suppose -7*i + j*i + 16 = 0. Solve -3*q - i + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4160029 to the nearest integer?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppmm when four letters picked without replacement from pmmmpmppmppmmpmpmpmm.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 26 = 121. Let s = m - -133. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 5658*r - 333975.\nAnswer: -3*(r + 61)*(r + 1825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038107 to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*1*62\/(-2046)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 133 = -5*a + 198, 4*w + 488 = -5*a. Let y = 169 + w. Suppose 8 + y = 2*d. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -26. Let n be (-3)\/6 + 9\/(-2). Let y = n + 2. Put 2, a, y in decreasing order.\nAnswer: 2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/5)*t)\/t)**(1\/21)\/(t**(-1\/2)\/t)**(1\/4) assuming t is positive.\nAnswer: t**(97\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 0.01 (c) -0.7 (d) 0.2 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6540, 13086, 19642, 26208, 32784, 39370, 45966?\n\"Answer: 5*g**2 + 6531*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27172*3436\nAnswer: 93362992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(3 + 3 + -3). Suppose g = 4*z - 9. Is (-14)\/(((-18)\/15)\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153239826 divided by -11514?\nAnswer: -13309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*q**3 + 3 - 16*q**3 + 1 + 2*q + q**4 - 13*q**3 - 1 + q**2 as h*q**4 + f*q**3 + j*q + p + t*q**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.998 + 3.887. Let z = -0.015 - u. Round z to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 758497606 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39911995?\nAnswer: 5, 61, 130859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0438, -4, -9, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/14)\/(7\/(672\/(-72))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 246 * 6.\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 - 2*p - 9. Suppose 0 = -7*h + 3*h - 24. Let i be g(h). Let t = -0.12 + 5.12. Which is the smallest value? (a) i (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/(-3*4\/48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 580610420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1\/34, 1.37.\nAnswer: -1\/34, 0, 1, 1.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*l + 10, -33*c + 3*l + 6 = -66*c + 39*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*w + 3, -2*h + 4 = -2*w - 2. What is the derivative of 2911 - 2964 + 5*k**h + k**4 - k**3 wrt k?\nAnswer: 4*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 280 - -220. Is 43 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61662463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:52 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let b be r(2). Suppose -b*x + 9*x = 0. Suppose 12*w - 10*w - 39800000 = x. Round w to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 2, 5, 0, 1 in decreasing order.\nAnswer: 168, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 578 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g + 84 + 84 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4505 - 1.4505. What is the third smallest value in x, 12, -39?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1423*-9.2.\nAnswer: -13091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/51)\/(((-22)\/6)\/((-4521)\/1233))?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 4*n - 3*n. Let s(l) = 0 - l + l**2 - 1 + l + 3*l. Let t be s(-4). Calculate r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -166, -347, -612, -967?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -97. Solve s*o + 3*h = -28, -2*o - 24 = -0*o + 4*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2209607, -4419128, -6628649, -8838170, -11047691, -13257212?\nAnswer: -15466733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2. Let o be u(0). Suppose -6*s - 105 + 99 = 0. Let n be 1\/s*6\/(-42)*-2. Which is the nearest to o? (a) n (b) 0.11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/(4\/(-5104)). Let l = a - -1741. Let c = l - 1301103. What is c rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8415\/(-561))\/(1\/(-1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16829475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*h = 12, 3*u + 3*h - 1 - 11 = 0. What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d. Suppose -5*l + 20 = -d*l - 5*h, -h = -3*l + 8. Determine c, given that -c - 1 - 3 - 2*c**l + 3*c + 4*c**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a07 - 2?\nAnswer: -6a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185039*v**3 + 184944*v**3 + 1 - 1.\nAnswer: -95*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 193629319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 100812.4 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let f be (-104)\/(-12) - (2 + (-7)\/d). Solve -3*p = -f, -5*p + 23 = -y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1136, 2343, 3548, 4751, 5952?\nAnswer: 7151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g**(-9)*g*g)))*(g\/(g*g**(4\/5))*g)\/g*g\/(g*g*g**(16\/3))*g*g**(1\/15))**(-7\/13) assuming g is positive.\nAnswer: g**(-203\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1635\/(-654)*4\/(-10). Is u at least 1476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/33836 and -55\/73824.\nAnswer: 812064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*l + 3197 = 13313, 0 = 2*o + 4*l - 6750. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13221 (base 4) to base 7.\nAnswer: -1266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*l**4\/7 - 164*l**3\/7 - 48*l**2\/7.\nAnswer: -2*l**2*(l + 4)*(19*l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 7:41 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 - 29*k**2 - 7*k - 16. Calculate the remainder when g(11) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 4, r: 3, y: 1, t: 6, i: 4}. What is prob of picking 1 t and 1 r?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from syquqbse.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.321 - 0?\nAnswer: -7.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65446507365 - -65446507715.00000063. Let f = 350 - y. What is f rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -20*x + 10. Let g = 11364 + -11361. Let d(h) = -4*h + 2. Give g*j(k) - 16*d(k).\nAnswer: 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.35 + 0.15. What is the nearest to -3 in 1, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164.0143 - -164. What is y rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19211 + -18185. What is the remainder when m is divided by 111?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3735732*m**4*p + 4*m**4 + m**3*p + m**3 + m**2*p + 2685617*m**2 + 58*m*p wrt m.\nAnswer: -89657568*m*p + 96*m + 6*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 45, 54, 57, 54?\n\"Answer: -3*j**2 + 24*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -521 + 526. Suppose -s = -13 + 3. Suppose -4*m = -4*t - 3*m + 44, 3*t - s = -c*m. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*l**3 + 111*l - 105*l**3 + 83*l**3 wrt l?\nAnswer: -852*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -20*o - 1. Let p be t(-3). Let g be (-39)\/(-3)*(-3 + 4). Let n = p - g. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13688 + -13566.37. Round n to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a factor of 2541351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(120\/(-18))*((-319200)\/(-90))\/(-76)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 1:46 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2)**2 - sqrt(5) - (2 + -2 + sqrt(5))**2.\nAnswer: -sqrt(5) + 1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let b(g) be the first derivative of g**3\/3 - 3*g**2\/2 - 11*g + 7204. Determine b(u(d)).\nAnswer: d**4 - 3*d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31762352471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 10*h**2 + 10*h + 11. Let k be x(11). Suppose 4*z - 20 + k = 0. Suppose 3*b - 178 = z*u, -2*b + u + 87 = 4*u. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 5*o**2 + o - 4. Let t be q(5). Let s(f) be the first derivative of 1\/2*f**2 - 4 - 5\/3*f**3 - f. Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 63 + 31 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8 - 13 + 16*f)*(11*f - 2*f**2 + 2 - 11*f)*(-3 + 3 - 3).\nAnswer: 96*f**3 + 6*f**2 - 96*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -1\/4*q**2 + 1\/2*q + 3\/4 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2448*r**2 + 737*r - 737*r - r**2 + 3*r - 3*r + (-2 + 2*r + 2)*(-5*r + 3*r + 0*r) - 3*r + 3*r - 2*r**2 + r**2 - 1 + 1.\nAnswer: 2442*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-23))**15\/(z**(-29))**(-1\/76) assuming z is positive.\nAnswer: z**(-26249\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occooccooccccc. What is prob of picking 2 c and 1 o?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1829 - -1828.3949. Let o = b - -0.6. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6620174 a multiple of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -5.12. Let x = d + 0. Let f = 0.043 + 0.357. What is the smallest value in -5\/3, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9) + 305\/(-15). Let k = d + 17. Let r be (-1600)\/(-15)*(-33750)\/k. Round r to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -3*c + c. Let z = 38 + c. Suppose 2*h = y - z, -5*h + 3*y - 1 = 15. Sort h, -0.1, -0.4 in increasing order.\nAnswer: h, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 16*n**5 - 1452*n**4 - 29340*n**3 + 164260*n**2 - 172836*n - 53928 = 0.\nAnswer: -21, -1\/4, 2, 3, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*1\/(-2)*116\/87. Determine t so that 2\/3*t + 0 - 1\/3*t**b - 1\/3*t**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**3 - 8*f**2 + 6*f. Let q(g) = -g**3 + g. Give 5*q(p) - v(p).\nAnswer: p**3 + 8*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**2 + 4. Let d(a) = 5*a**2 - a + 3. Let l(g) = 2*g**2 + g + 2. Let v(c) = d(c) + l(c). What is -5*v(y) + 6*x(y)?\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*j + 3*h, 5*j - j - 12 = 4*h. Suppose 2*t - 33 = j*x, 4*t + 2*x + 1 = 7. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -100?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/3*156\/182?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scs when three letters picked without replacement from ccssc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 71928 and 8.\nAnswer: 71936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -917?\nAnswer: 5\/917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.237 + -536.413. Let w = y - -602. Let k = w - 62. What is k rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*z + z + 8, 4*z = 2*s + 10. Calculate the least common multiple of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 3*f**3 + 4*f**3 + (0*f**2 + 2*f**2 - 3*f**2)*(2*f - 2*f - f) + 177*f**3 - 229*f**3 + 220*f**3.\nAnswer: 174*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -67, -3, 2 in increasing order.\nAnswer: -67, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/101 in 1\/2, 3, -1\/3, -4, 0.068?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114, -275, -520, -831, -1190, -1579, -1980?\n\"Answer: 3*w**3 - 60*w**2 - 2*w - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 352, -2, -4, 9 in increasing order.\nAnswer: -11, -4, -2, 2, 9, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 2 = 10*c. Let p(n) = -8*n**3 + 3*n - 1. Let v be p(c). Let y = -119\/2 - v. What is the closest to y in 0, 0.5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1344)\/(-392)*28\/(-3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2)*(-6)\/18. Suppose 2 = -p - 9. Let z = b - p. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*w = -38 - 37, y = -3*w + 29. Calculate the lowest common multiple of y and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(-2)*123\/861*(-6)\/(-8)\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -8*n - 259. Solve b + 3 = k, 2*b - 2*k + n = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + (sqrt(396) + 0 - sqrt(396)))*-1 + 1 + -2 + sqrt(396) + -1 + sqrt(396) + (1 + sqrt(396))*-1)**2.\nAnswer: 108*sqrt(11) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 8*n + 5. Let y be q(-7). Let x = y - 8. Suppose 0 = x*v + m - 148, 2*m - 185 = -5*v - 2*m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = -71 - 55. Let d(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - r**4\/4 + r**2. Let y be d(p). Solve y = -4*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*t - 121 = -230*t - 234*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2 - 5 + 2 + 13*y. What is the units digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9855.9 rounded to the nearest one hundred?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1008294796 to the nearest ten thousand.\nAnswer: -1008290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 3\/(-3)*7. Let d = j + 25. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6028951 to the nearest integer?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 18764?\nAnswer: 93820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -295 in -18, -0.4, 4\/135, 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 325 + -320. Let a(f) be the first derivative of 0*f**2 + 0*f + 2\/3*f**3 - 1\/6*f**6 + 0*f**4 + 0*f**5 + d. Find the third derivative of a(m) wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2252, -5724, -9202, -12686?\n\"Answer: -3*f**2 - 3463*f + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 9 - 21 = -2*h, -12 = -4*h. Let a = -21 - l. Suppose 8*x - 11 = b + 5*x, 5*x = -b + 29. Solve a*k - 4*g = -11, -g - 5 = -b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 3*s**2 - 36*s - 5. List the prime factors of c(-6).\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48629 + 48635. Let i(f) = -2*f**2 - 4*f + 4. Let g(n) = n**2 - 1. Give s*g(q) + 2*i(q).\nAnswer: 2*q**2 - 8*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -35*k**2 + 6. Let v(j) = -71*j**2 + 13. Give -13*m(a) + 6*v(a).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -21 + 5. Suppose -c*p + 30 = -54. What is the remainder when 39 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.93. Let k = -0.23 - i. Let z = 0 + 0.1. Are z and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 3 + 15*c + 7*c - 54*c as h*c**2 + y*c**3 + w*c + b + r*c**4 and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8466*v**2 + 32236*v - 32236*v as w*v + j*v**2 + i and give j.\nAnswer: 8466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxjxjxj. Give prob of sequence xjxj.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7309555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:53 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/90 + 5*u**4\/27 - 8*u**3\/9 - u. Determine m, given that z(m) = 0.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 - 3\/5. Let d be 4 - (-2)\/f*1. Let a(z) = 4 + 3*z - 3 + 0*z. Determine a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(1008) - sqrt(1008) - sqrt(1008)) + sqrt(1008))**2 + 3.\nAnswer: -144*sqrt(7) + 9079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of (25482\/465)\/((-2)\/(-1040))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 36596.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*p**3*r**2 + 32*p**2*r**3 + 1690*p**2 - 35*p*r**3 - p*r**2 + 2*p*r - 9574*r**3 + r**2 wrt p.\nAnswer: -48*p*r**2 + 64*r**3 + 3380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10722036 and 0.5.\nAnswer: -5361018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27821156425 - 18?\nAnswer: 27821156407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(132)*1 + sqrt(132))\/(sqrt(72)\/(sqrt(18)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10*231\/(-154) - (-46)\/10. Solve 6*v - 9*v = i*n - 17, 0 = v - 5*n + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010100000 - 101000?\nAnswer: -110011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*-3.99\nAnswer: 7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4259, 4289, 4269, 4205, 4103, 3969, 3809?\nAnswer: 3629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/60 - p**5\/60 - p**4\/24 - p**3\/3 - 5*p**2. Calculate the common denominator of -9\/8 and y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.04 - 4. Let h = 5.96 + g. Let q = 3 - h. Which is the second biggest value? (a) q (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -2.6. Let b = 0.5168 + -0.5968. What is the second biggest value in s, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unggunnnnnggnn. What is prob of sequence gggg?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*p + 365 - 405, -2*p - 40 = 3*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:09 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-14) - 45\/(-105). Solve m = 5*o - 7*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -405*b + 138*b - 3 + 136*b + 134*b. Let c(u) = -7*u**2. What is c(h(w))?\nAnswer: -63*w**2 + 126*w - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1122 or -0.17?\nAnswer: -1122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93648174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-36)\/(-1836)*-906 - 4\/(-17).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 12*m**2 + 698*m + 5553. Determine v(-8).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.9, 5, -3 in decreasing order.\nAnswer: 5, 0.9, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 11. Let n be z(15). Let j = -19 + 9. Let w be j\/(-8)*(-8)\/20. Which is the nearest to -1\/4? (a) n (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517993793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 900639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.32 + -2.5. Let f = 1.18 + p. Put -1, f, -5\/2, 0.4 in increasing order.\nAnswer: -5\/2, -1, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 680\/(-35) + ((-30)\/(-21) - 1). Let s = 147 - a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413906 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404818, 809580, 1214342, 1619104?\nAnswer: 2023866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**3 + 7*m**3 - 25*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 + 351. Suppose -i*b = -5816 - 1752. List the prime factors of b.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1771, 8, -3\/7, 0.1, -4, 0.111 in ascending order.\nAnswer: -1771, -4, -3\/7, 0.1, 0.111, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swww when four letters picked without replacement from zwmnsknwsmnnwssmwwnn.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(18\/12 - 1). Determine o, given that 3*o**i - 9*o**2 + 497 - 497 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/207 + 3\/23. Which is the second biggest value? (a) 0.4 (b) -0.2 (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Suppose 0 = 4*n - k - 8. What is the second derivative of 5*c**n - 4*c - 3*c**5 - 5*c**2 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - j + 8, -1 = -5*x - 2*j + 12. Suppose -6*t - 95 = -5*m - x*t, 0 = -4*m - t + 76. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41550*s**3 + 62731*s.\nAnswer: -249300*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose f*l + 3 = -3. Let i(u) = 1 - 3*u**3 + 5*u**3 - u**3 - 2*u + 3*u**2. What is i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904542.7t to kilograms.\nAnswer: 904542700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 2*u**3 + 53*u**3 + (u**2 - 3*u**2 + u**2)*(0 - u + 0) - 2*u**3 + 3*u**3 - 3*u**3 + u**3 - u**3 + u**3.\nAnswer: 55*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/122 - 1920\/61. Let a = q - -32. Factor m**2 - a*m**4 + 1\/2*m**5 - 1\/2 - m**3 + 1\/2*m.\nAnswer: (m - 1)**3*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22 - -1 - -17 - ((-15133)\/3060 - -1) and -151\/612.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-144)\/10 - 4\/(-10). Let u(m) = m**3 + m**2 - 4*m + 4. Let n be u(1). Sort -4, n, l in increasing order.\nAnswer: l, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 3*c - 4*c)*(c - c - c**3) + c**4 - c**4 - 4*c**4 + (1 - 1 - 2*c**3)*(0*c + 0*c + c).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1*h)**(-2\/107)*(h\/h**(-3\/2))\/h**3 assuming h is positive.\nAnswer: h**(-119\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -86, 0, -3 in ascending order.\nAnswer: -86, -3, 0, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1282553, -1282624, -1282743, -1282910, -1283125, -1283388?\n\"Answer: -24*z**2 + z - 1282530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55382, -110768, -166154, -221540, -276926?\nAnswer: -332312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-99)\/2)\/(-11))\/6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5634 is divided by 626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4*f + 8, 0 = 5*p - 4*f - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11563957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 1\/7, 1788\/29?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75232, 75258, 75284, 75310, 75336, 75362?\nAnswer: 75388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/20, -0.235, 5, 3, -0.064 in decreasing order.\nAnswer: 5, 3, 1\/20, -0.064, -0.235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -1\/63*n**7 - 27*n + 0 + 0*n**2 - 5\/9*n**4 - 2\/15*n**6 - 2\/5*n**5 - 1\/3*n**3. Determine z so that h(z) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 32, 45, 6, -103?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*x + 8, 3*d - x - 9 = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698342 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/691?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553 greater than or equal to 1555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 1, w: 1, i: 1, f: 1, o: 2}. What is prob of picking 1 f, 1 h, 1 l, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 9) to base 5\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 201373, 805494, 1812363, 3221980?\n\"Answer: 201374*m**2 - m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1996887 and 261?\nAnswer: -521187507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17075 - 17056 = 4*v + 3*s, s - 6 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/8, -5, -2\/9 in descending order.\nAnswer: -0.2, -2\/9, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*g**6 + 201*g**5 - 3*g**3 - 247*g**2 - 103*g - 2 wrt g?\nAnswer: -1800*g**3 + 12060*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250148533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*z - 10, 369*z - 373*z = -3*j + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8.879 + -0.01\nAnswer: 8.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.14243621 to three decimal places.\nAnswer: 2.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44236413*r**6 - 3*r**2 + 1463279*r + 2 wrt r?\nAnswer: 5308369560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**7\/210 + b**6\/90 + b**5\/30 - b**4\/6 - 2*b**3\/3 - 16. Let s(j) be the third derivative of w(j). Factor s(h).\nAnswer: -4*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*j + 186*j - 638 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2758 or -2757?\nAnswer: -2757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 511787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6239428, 12478850, 18718270, 24957688?\nAnswer: 31197104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -4*w - 81. Let x be (-55 + 5)*8\/20. Let d = x - w. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 123, 250, 387, 540, 715, 918?\n\"Answer: t**3 - t**2 + 123*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 127522?\nAnswer: -127525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*x. Suppose -4*t + t = -6. Let g be 2\/(x\/t - 1). Is g at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.10473 - -0.00473. Suppose 0 = 2*p - p - 15. Sort p, v, -3 in descending order.\nAnswer: p, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**3 - 3*f**2 - 14*f - 6. Let p(s) = 6*s**3 + 2*s**2 + 14*s + 4. Calculate 4*b(d) + 6*p(d).\nAnswer: 12*d**3 + 28*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gptp. What is prob of sequence ptg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.152 + 36. Round b to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 5699*c - 5608*c + 11406*c to f + u*c**2 + d*c and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24102.8 micrograms to kilograms.\nAnswer: 0.0000241028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56507 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 5*v + 5. Let z(c) = -2*c**2 - 3*c - 3. Let p(k) = 3*t(k) + 5*z(k). Let b(d) = 8*d**2. Determine p(b(y)).\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249893632 a multiple of 5009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 4. Let m be r(2). Suppose -54 = -m*l + 46. Let u(t) = 4*t**2 - 2*t - 2. Let h be u(2). Solve h*d = 5*d - l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*(110\/15 - 7). Let -v + 3\/4*g - 1\/4*g**2 = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/27)\/(v\/v**5*v)*((v\/(v\/(v**(2\/11)*v*v)))\/v)**(-7\/6))**(-34))**(-3) assuming v is positive.\nAnswer: v**(17119\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 635, 7\/8, -5, 45, 3\/5, 0.2 in descending order.\nAnswer: 635, 45, 7\/8, 3\/5, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 5. Let a(g) = -g + 1. Let w(b) = -5*a(b) - v(b). Let u be w(-4). Is ((-4828)\/u)\/(2\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 2220744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**4 - 92*b**3 - 270*b**2 - 277*b - 89. Let f(x) = 2*x**4 + 94*x**3 + 270*x**2 + 278*x + 88. Let p(m) = 3*f(m) + 4*s(m). Factor p(c).\nAnswer: 2*(c - 46)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.05317*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 12*w - 40. Calculate s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0621 + 0.0067402098.\nAnswer: 2.0688402098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.695 + -399.0943?\nAnswer: -388.3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8587 + 834 = 392*n + 18256 + 4175 for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 + 1.5. Let d = v - 6.7. What is the closest to -2\/3 in -0.2, d, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -89, -115, -127, -119, -85?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -3*s + 3*z - 57, -31 = 3*s + 5*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/14, -3, 69, 0.6?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*m**5 + 493*m**2 - 2366*m**5 + 720*m**5 wrt m.\nAnswer: -95760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*r - 834 + 2794. Calculate the greatest common divisor of 644 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*i - 13262 + 846 = 1844 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480691063.\nAnswer: 79, 127, 47911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205404200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(((-3)\/2)\/(-3)). Let o = -5 + 6. Let y(p) = o + 6*p + 15 + 5*p + p**2. Let l(i) = 2*i + 3. Calculate f*y(d) + 11*l(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 242 from 5.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4015, 5705, 7391, 9073, 10751, 12425?\n\"Answer: -2*a**2 + 1696*a + 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*k - 124. Let c be (32\/(-10))\/(k\/(-55)). Solve 5*u + c = -2*j, -u + 12 = -4*j + j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(5\/2)*a*a)**(-4\/19))**(-20) assuming a is positive.\nAnswer: a**(40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-10)\/(-72))\/((15340\/(-39))\/(-59))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 20 = -5*b, -10 = 3*v - b - 42. Suppose -m - v = -2*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -15*h**3 + 3*h**2 + 3*h. Let p be v(-2). Suppose -p = -2*b + 18. What is the units digit of -4 - (b\/(-3) + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a decade in months?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/45*(-95)\/38?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*i + 442*i + 1413365 - 1413365.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 50*q**2 - 461*q - 191. Let z be a(58). Let f(l) = 3*l + 72. Give f(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + q + 4 = 0, 3*q = -w - 2*q - 11. Let d be w*((-5 - -2) + 3). Solve 11 = -d*t + t + 4*a, -3*t = -5*a + 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*z - 725*z - 17*z.\nAnswer: -1132*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -1. Let l = d - 6. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6191091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-19 - -3))\/(2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4438\/85917?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/11 less than -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/24)\/((-2)\/(-12)*3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/5256 and -131\/96.\nAnswer: 21024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8268.046025 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*l + 158*l + 40 = 0. What is the second derivative of -13*o + 17*o**4 + 14*o + 5*o - l - 208*o**4 + 18*o wrt o?\nAnswer: -2292*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2464 and 528.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 15*p**2 + 55*p + 278. Calculate v(-7).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -838*o**3 + 11*o**4 - 8*o + 425*o**3 + 414*o**3 + 0*o + 2*o**2 - 3 in the form t + d*o**2 + h*o**4 + g*o**3 + p*o and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -26 - (101 - 48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 23\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348220326 divided by 58036721.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 8*c**2 + 9*c + 1. Let y be o(-9). Let i = y - -5. Suppose -3*z + 8 = -2*z. What is the lowest common multiple of i and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -3*d**5\/20 - d**4\/6 + d**3\/3 - 13*d. Let n(i) = 48*i**3 + 33*i**2 - 33*i. What is -33*j(m) - 2*n(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 5*u - u)*(-1 + 2 + 4 + (4 - 2 + 0)*(1 + 1 - 3) - 1 + 2 + 1 + 4 + 3 - 6 + 4 - 13 + 7)*(-2 + 4 + 1) to t*u + r and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*a + 3*l, 5*l - 31 = -3*a - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9*m\/(((m\/(m*m*m**(2\/7)))\/m)\/m))**(8\/5)*(m**(-1\/2))**45\/(m\/m**1*m**(-2\/15)) assuming m is positive.\nAnswer: m**(-233\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177)\/472 + (-141)\/(-504).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 9 = -29*c + 2*x, -2*x = 6. Let t(o) = 2*o**2 - 2 - 3 + 2. Let a(n) = -n**2 + 4. Let l(p) = c*a(p) - 4*t(p). Let y(z) = -4*z. Determine l(y(j)).\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 13300*p**2 - 13*p + 22*p.\nAnswer: -13300*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let p(i) = -4233*i**2. Determine z(p(m)).\nAnswer: -8466*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -15072835 and -15072835 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512826294?\nAnswer: 2, 3, 85471049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109.9? (a) 1\/3 (b) -9\/2 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5*g + 5*g)*(5 - 3 - 1) + 14 + 7*g - 14 + (2 - 2 + 2)*(2*g + 0*g - g) + 16 + 18*g - 16.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.884 + 3.184. What is the smallest value in a, -16, -0.5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1955 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 = 3*j - 8, t = j - 1. Let v(y) = 10*y - 34. Let x be v(4). Suppose -3*f + d + x = 0, f + 2 = -j*d + d. Solve 0 - f = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.46\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**8*b**10)**(1\/34) assuming b is positive.\nAnswer: b**(19\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 387 - 407, -m - 29 = 5*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 640.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 3*k + 1 + 3)*(2*k + 21*k + 37*k).\nAnswer: -180*k**2 + 240*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5.01349 + 463\nAnswer: 468.01349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/3 - 55112*o**3\/3 + 1378958*o**2\/3 - 2537452*o\/3 = 0 for o.\nAnswer: -27581, 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 29.3. Let g = z + 3.7. What is the closest to 0.3 in g, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllmlm. Give prob of picking 3 l and 1 m.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102690 and 14355.\nAnswer: 32758110","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 12*k**2 - 12*k - 12. Let b be g(10). Let l be (68\/6)\/((-812)\/(-2436)). Calculate the highest common factor of b and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 8, p: 2, n: 1, q: 1, z: 2, r: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -5\/2, 0.0245, 50, -1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q**2 + 21*q - 5. Let b(r) = -5*r**2 - 10*r + 2. Give 5*b(h) + 2*k(h).\nAnswer: -3*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (1 - 2)) + (28 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7326 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 66 = 2*a. Let f(x) = x**2 - 13*x - 11. Let r be f(0). Let c = r + a. Round c to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + z**3 - 3*z**3)*(212*z + 1561*z + 361*z).\nAnswer: -4268*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*188298.48.\nAnswer: -5837252.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31586, 2\/9, 8 in ascending order.\nAnswer: 2\/9, 0.31586, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -126.3. Let t = 21 - 22. Let i = 15 + -28. Sort t, b, i.\nAnswer: i, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - g - 28, 4*z - 2*g - 106 = 0. Suppose r - 8 = -u, 0 = 2*r + 2 + 2. Calculate the greatest common divisor of u and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*p - 6*p. Let x(g) = 10*g**2 + 3*g - 5. Let m(a) = 11*a**2 + 4*a - 6. Let t(y) = p*x(y) - 5*m(y). What is the second derivative of t(j) wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7452\/(-552) - (-15)\/(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -490 - -705. Let f = l - 184. What is the remainder when (-2)\/4*-2 - -88 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1148\/42 - (-1)\/(-3). Suppose 3*n = 2*f - 17, -3*f + 2*n + n + v = 0. Is ((-2149)\/35)\/((-2)\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1500.54 - 1500.8. Sort 0, 9, p, 1\/9 in descending order.\nAnswer: 9, 1\/9, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5931860*j**3 - 8*j**2 + 7955433 with respect to j.\nAnswer: 17795580*j**2 - 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*2457\nAnswer: 245.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 42*f + 98. Let g be n(-11). Which is the second smallest value? (a) g (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 2438?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-35)*((-30)\/63)\/(120\/(-17220))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12\/o*o*o*o**(-1\/6) assuming o is positive.\nAnswer: o**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t. Let o = 48 + -15. Suppose -p + o = -t. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20399*k - 37 + k**2 - 10204*k - 10205*k to o*k**2 + l + x*k and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.023 and -0.5.\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -52. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8109414 and -73\/130797.\nAnswer: 8109414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 19*g + 11. Let m(p) be the third derivative of 0*p - 23 + p**2 + 1\/30*p**5 + 5\/6*p**3 + 3\/8*p**4. Calculate -13*m(r) + 6*s(r).\nAnswer: -2*r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.3. Let a = -14 + 11. What is the closest to x in a, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5) - (-2 + 1). Suppose b - 2 = -0. Determine i so that -4\/5*i + 0 + t*i**3 - 2*i**4 + 2*i**b = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-14 - -9) + (11 - 1) - -192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 19*q - 15*q - 20 = 0, -4*q + 20 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8214097*g**4 + 9887504*g**2.\nAnswer: -197138328*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d. Let h(y) = -68*y**2 + 2*y + 318. Give h(j(r)).\nAnswer: -1700*r**2 + 10*r + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 11*y - 5. Let u be q(-8). Let t be (-4 + 0)*3 - -1. Let a = t - u. What is the greatest common factor of 72 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, y: 2, h: 3, i: 4, t: 1}. Give prob of picking 1 h and 1 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/2 + 210*z**4 - 48613*z**3\/2 + 694365*z**2 - 670268*z = 0. What is z?\nAnswer: 0, 1, 41, 134, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43936581 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/30*28\/(-21)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3432)\/(-18018))\/((-16)\/(-3)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*(-60)\/(-2850)*16\/((-176)\/1485).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 + -4 - 3 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-184)\/10 - 2)\/(24\/(-160)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 1\/3 (c) 0.1 (d) 508\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Let k be -1 + -2 + -21 + 12. List the prime factors of f(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -27*c - 2. Let v(l) = -26*l - 1. Determine -2*m(i) + 3*v(i).\nAnswer: -24*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/64)\/((-22)\/8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/5 - 305332*y**2\/5 + 13742011*y\/5 + 14047342\/5 = 0.\nAnswer: -305377, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*u - 651, -2*u + 390 = 2*s - 6*u. What is the greatest common divisor of 31257 and s?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:25 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184.54*-70.5.\nAnswer: 83510.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**13)*v)**(3\/37) assuming v is positive.\nAnswer: v**(42\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37749 and 18?\nAnswer: 226494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.72 minus 16117478511?\nAnswer: -16117478506.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*v + 1927399*f**2*v + v - 656419 wrt f.\nAnswer: -6*f**2*v + 3854798*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57 and 1.05?\nAnswer: 59.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/n*n**(-2\/13)*(n\/n**(-4))\/(n*((n\/n**(-4\/7)*n)\/n)\/n*n)*((n**(2\/21)\/n)\/n**(2\/11))\/(n*((n**0*n*n*n)\/n)\/n)**(10\/3) assuming n is positive.\nAnswer: n**(-10489\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {g: 2, c: 2, n: 1, w: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o*p**5 - 9*o*p**3 - 2*o*p**2 - 50*o*p - 30*p**5 + 4 wrt p?\nAnswer: 60*o*p**2 - 54*o - 1800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -525*u**2 + 2 - 325*u**2 + 557*u**2 - 2*u**2 + 3*u**2 + 3*u**2 + (2*u + 2 - 2)*(-4 + 4 - u) + u**2 - 4*u + 4*u.\nAnswer: -290*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2199996*h**2 - 4*h. Let k(a) = 4399993*a**2 - 7*a. Let g(f) = -3*k(f) + 5*u(f). Let l be g(-1). Round l to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/2 (b) 332\/179 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 96, 99, 106, 117, 132, 151?\n\"Answer: 2*g**2 - 3*g + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/15)*x*x**(-5))\/(((x*x**(2\/7))\/x)\/(x**(1\/7)\/x)))\/((x\/(x*x**(-1\/4)*x))\/(x*x**(-1\/18)*x)*((x*x**(2\/21))\/x)\/(x**6\/x)) assuming x is positive.\nAnswer: x**(4271\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + 2*b**2)*(25 - 25 + 21*b) + (0*b - 2*b + 3*b)*(b - b**2 - b) - 4*b**3 + 4*b**3 - 2*b**3.\nAnswer: 39*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13*r - 143265816 = 0. Suppose 10541576 = -15*t - r. Round t to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 10 - 10)*(f**3 + 15*f**2 - 15*f**2 + 2 + (-1 + f + 1)*(0*f**2 + 5*f**2 - 3*f**2)) + 3 - f**4 - 3.\nAnswer: 8*f**4 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:12 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1712 divided by 67?\nAnswer: -1712\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**3 + 10*f**2 - 7*f**2 + f**2 - 7*f**2 + 29*f**3 to the form o*f + y*f**2 + v + z*f**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/6)*b)\/b**(-7)*(b*b**(-1\/3))**(-2\/25) assuming b is positive.\nAnswer: b**(1067\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*g - 293 = 123. Sort g, 4, -205.\nAnswer: -205, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 255 = a - 6*a, -2*p = 3*a - 151. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14016 divided by 12.\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:11 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (102\/9)\/((-6)\/9). Suppose 1 = -2*d - 9. Let t = d - s. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**4 + 5792*n**3 - 41011*n**2?\nAnswer: -48*n + 34752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*k**3 + 853*k**3 - 1 + 1.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.167 and 0.8?\nAnswer: 0.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -79, -5 in decreasing order.\nAnswer: 5, 4, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4, -80 = -s + 6*y - 2*y. What is the highest common factor of 108 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-28 - -21 - -12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**2*s**2*x - c**2*s*x + 6*c**2*x**2 - 30291460*c*s**2*x**2 - s**2 - s*x - 5411*s + 75 wrt x.\nAnswer: 12*c**2 - 60582920*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-21))\/(-13 + 1116\/84)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = -22. Suppose -v*a + 3 = -53. What is the second derivative of -a*j - 3*j - j + 3*j - 20*j**5 wrt j?\nAnswer: -400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1966, -0.17, 0.5, 0.073?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 105610 = 2*m, -3*n + 12603 = -3*m - 8502. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*g + 7 = -0, r + 4*g + 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 q when four letters picked without replacement from ngnqnpnngngppg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w - 27770 = -5*t, -2*t + 11123 = -w. Calculate the greatest common factor of 218 and t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 20. Suppose -r*o + 5*k = 20, 3*o = -2*o + 3*k - 12. Solve -5*p + 4*w + 7 = -4*p, o = p + 2*w + 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from fqqqkkcfdfff?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2\/2 - 2247*z - 106704 = 0?\nAnswer: -4446, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127627795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -193724564\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 84\/5189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4 + 6*m - m**2 - 5 - 13*m + 0. Let o(v) = -v + 1. Let d be o(7). Give n(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5157, -3, -2.89 in ascending order.\nAnswer: -5157, -3, -2.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/8*-2 + 4. Suppose -3*k + k - 114 = 4*d, 2*d + 3*k + 67 = 0. Let u be ((-2)\/d)\/((-2)\/4). Is u > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 27, 1, -18 in decreasing order.\nAnswer: 27, 1, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*o**2 + 0 - 10046*o + 10071*o.\nAnswer: -2*o**2 + 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 56*s**2 - 104*s**2 + 49*s**2. Let f(j) = -j + 2010. Determine n(f(b)).\nAnswer: b**2 - 4020*b + 4040100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 214 + 277. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 5*t + 12. Let u(a) be the third derivative of -a**5\/20 - a**4\/4 + 2*a**3 + 3*a**2 + 608*a + 1. What is -5*i(g) + 4*u(g)?\nAnswer: -2*g**2 + g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffflsflslcwff. Give prob of picking 2 s, 1 l, and 1 f.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/5)\/(36\/1320). Let a = -40 - d. Suppose -3*n = 5*h - 39, -a*n + 9 + 3 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from touotutouot?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -l - 18650, 5*y - 47213 = 5*l - 588. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 20*j + 8. Give k(18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 6 = -c. Suppose z + c = -0. Let n be z\/(-6) - (0 + 1). Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -215741237 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-21)\/9 + 2). Let q = k + -15. Let a be 32\/q*3\/(-4). Solve a*c = 18 - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*d**2*z**2 + 1101*a*d**2 + 168*a*d*z**2 - 4*a*d - 9*a*z wrt z.\nAnswer: -4*a*d**2*z + 336*a*d*z - 9*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4230663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2739939*x**3 - 582083*x**2 wrt x.\nAnswer: -16439634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 714 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-29)\/522*-9 - -2*(-80694)\/(-8).\nAnswer: 2, 7, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from wwwvwvvwowwwvw?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:10 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 16, g: 2}. What is prob of sequence zzz?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2256, 3761, 5266?\nAnswer: 6771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 60*r + 7. Let l(y) = -15*y - 2. Let v(s) = 2*k(s) + 9*l(s). Let n be v(-3). Let q = n - 18. What is the highest common divisor of 23 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 131*m + 125171565 = 117*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -210, -816, -1998, -3948, -6858?\nAnswer: -10920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5713226830 and -663.9.\nAnswer: -5713227493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) - (-7)\/(-70)*-34. Solve c*f - 3 - 13 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9894963.187 - -3.\nAnswer: 9894966.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3678139 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*f - 60105 + 256*f**2 + 67*f**2 + 30050 + 30056)*(-5 - 2*f + 5).\nAnswer: -646*f**3 + 94*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-3 - 0 - -3). Suppose -2*u + 29 + 11 = 0. Suppose 4*j - 12 = 2*q, -3*j = q - u + 1. Solve l*k - 15 = j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10986 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)*(-63)\/3402*3\/(-2). What is the fourth smallest value in -2\/7, o, 4\/5, -0.1, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkxxxgxggggggkg. What is prob of picking 1 k, 1 g, and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 - 435423?\nAnswer: -435375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 576287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042669419 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 670740 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**4\/8 + r**3 - r**2. Suppose 2*q = 8 + 2. What is v(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 7:35 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426215.\nAnswer: 5, 85243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n - 3. Let a(f) = 36*f + 21. Give -4*a(k) - 27*y(k).\nAnswer: -9*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqmqqqqqqmqqq. What is prob of sequence mm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-7)\/(147\/(-30)). Let t = 1654 + -4964\/3. What is the closest to t in 11, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/20 + 5*z**4\/24 - 6*z**2. Let n(g) = g**2 + 2*g. Determine 4*m(h) - 10*n(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*f**6 + 4*f**6 + 76*f**2 + 11*f**6 + 3*f**6 + 17*f**5 + f**5 wrt f.\nAnswer: 120*f**3 + 1080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -13, 1, 2, -20, 4, -6 in decreasing order.\nAnswer: 4, 2, 1, -6, -13, -20, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1149 divided by 353\nAnswer: -1149\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155506?\nAnswer: 2, 13, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/60 and 23\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2779*j**2 + 2783*j**2 + 70*j + 9*j)*(13 + 8*j - 13).\nAnswer: 32*j**3 + 632*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -73*s**2 - 7*s - 9. Let d(k) = -109*k**2 - 11*k - 14. What is 5*d(j) - 8*l(j)?\nAnswer: 39*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + f**3 - 1 + (4 - 3*f**2 - 4)*(-5*f - 27 + 27) - f**3 - 2*f + 2*f.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*c**5 - 5*c**4 + 44*c**3 + 13474*c**2.\nAnswer: 600*c**2 - 120*c + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 2667, 5999, 10663?\nAnswer: 16659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 9924*a**2 - 8217063*a - 16394454.\nAnswer: -3*(a + 2)*(a + 1653)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 + 6 - 4 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3 + 10 + 14*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:37 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 132, 220, 314, 414, 520?\n\"Answer: 3*l**2 + 79*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.3 - 6. Put -4, 2, q, -0.1 in increasing order.\nAnswer: -4, -0.1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-1)\/(-2)*371\/(-53)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7737 - 3.6576. Let p = h + 0.0013. Let v = p + 0.43. Which is the nearest to -85? (a) 3 (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*2*15. Let j = -9 + 19. Calculate the highest common divisor of s and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:43 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -203310 (base 6) to base 14\nAnswer: -5d34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + a7b75?\nAnswer: a7bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17094 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111011 (base 2) to base 16\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1348 - 0.034272\nAnswer: -1348.034272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9855562.\nAnswer: 2, 53, 109, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 + 232?\nAnswer: 1fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(2 + (1 - 2)). Suppose -3*l - 2*v = -16, -3*l + 9 + i = 3*v. Suppose 6*j + l*g - 12 = 2*j, 3*j - 17 = g. Solve j = -0*k - k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 15 + 33 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, 3, 1, -7 in decreasing order.\nAnswer: 3, 1, -7, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 28. Suppose -3*y + 18 = m*w, 3*w - 29 = -w - 3*y. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = -98*c + 30*c + 8132880. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(576) + sqrt(128)\/sqrt(200))*-6)\/(sqrt(24)\/(sqrt(24)\/sqrt(8)) - sqrt(8) - -3*(sqrt(32)\/sqrt(4) + sqrt(8))).\nAnswer: -61*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(4\/3))**31\/(x**(-10)\/x)**25 assuming x is positive.\nAnswer: x**(794\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 4 = 4*x + 2*c, 3*x - 5*c + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-183532.\nAnswer: -4404768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 222?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 5. Let r be c(-1). Let f be 1551\/77 + r\/(-14). Solve h + q - f = -4*q, -4 = 3*h - q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 4. Let g(c) = -9 - 15 + 52 - 16 - 11. What is -12*g(o) - 4*u(o)?\nAnswer: -8*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(325) + -3 + -3)**2 + sqrt(325) + 1)*-2*-3*3.\nAnswer: -32760 + 4950*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*n = 6, -70*n = 2*w - 65*n - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a99 (base 14) to base 16\nAnswer: -82f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600516?\nAnswer: 2, 17, 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 39. Suppose 12*t - 54145 = -4*x + i*t, 67691 = 5*x - 2*t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63001*d*h**3 - 21*d*h**2 - d*h - 7*h**3 + 1984*h**2 - 3*h + 74 wrt d.\nAnswer: -63001*h**3 - 21*h**2 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x - 10. What are the prime factors of u(4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 37*c**2 + 796*c + 3490. Determine w(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-280*u - 77024 + 77024)*(4*u - 1 + 1 + 2).\nAnswer: -1120*u**2 - 560*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(175) + 1) + 1)**2 + (sqrt(175)*-1*-2 + sqrt(175))**2 + -2.\nAnswer: 300*sqrt(7) + 5984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 15*b**2 + 21*b - 5. Let y be s(-6). Are -240 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261.9928 - 0.0072. Let c = b + 261.999782. What is c rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.78 - 2.77999991. What is x rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4900*q**2 - 195*q**3 + 4900*q**2 + 1035*q**3.\nAnswer: 840*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 119, 117, 115, 113?\n\"Answer: -2*i + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by -4.\nAnswer: 119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 467.3 - 555. Let o = d + 81.7. Let s = 0.11 - 4.11. Which is the closest to o? (a) -1\/7 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-102)*-20 - -2*9\/6. Let z(g) = g - 6. Let b be z(6). Let a be 1 + (-4 + 1 - 2). What is the closest to j in 1\/5, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/5)\/3*12)\/((-32718)\/15580)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 9*c + 9. Determine l(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:40 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195009*t**2 - 95178*t wrt t?\nAnswer: -390018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 + (-2 + 0 - (-8 - 13))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (39\/(-3))\/(1 + -2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 - 175. What are the prime factors of ((13 + u)\/(-3))\/(2\/(-1434))?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 + 189*r - 1364. Give x(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3 = 0, -w + 2*n = -2*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + -3. Let y = -13 - r. Let h be ((-40)\/(-18) - 2)\/1. Which is bigger: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.337917 to 1 dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 60 = 4*r, 2*q + 39 = 2*r + 51. Which is the biggest value? (a) -9 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 51, 10\/11, -4\/9, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 13 + 19. Calculate the remainder when (-2)\/(-9) + 1094\/18 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(35)*-1 - (sqrt(875) - (sqrt(875)*-3 - sqrt(875)) - sqrt(875)))\/((sqrt(378)*2)\/sqrt(6)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -79. Suppose 0 = v*l - 4*y - 60, -4*l = -2*y - 34 - 32. Calculate the greatest common factor of 72 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6159929 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 105063392 divided by -79114\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 35*f + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, 43, 178, 439, 868, 1507, 2398?\n\"Answer: 7*i**3 + 2*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.41 - -0.41. Let t = b + 2.5. Let x = 4 - 4.03. Sort x, t, -1\/4 in descending order.\nAnswer: x, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*k + 6268 = 517*k - 1735 - 2057 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1 + 4*i - 3*i + 0*i. Let x be l(-3). What is the units digit of -2*1\/x*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 105 = -0*h. Suppose -5*c - 5*k = 30, -c - h = 4*k - 3. Suppose -3*j = -11*j - 16. Is c at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*d - 36, 5*d = 2*h - 0*d + 39. Let s(g) = -7 - 189*g + 0 + 190*g. Give s(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -1, -29, 2\/7 in descending order.\nAnswer: 2\/7, 2\/17, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8938, 17413, 25888, 34363, 42838?\n\"Answer: 8475*s + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3*m**2 - 1413*h**3*m - 469*h**2*m**2 - 89*h*m + 2*m**2 + 2*m wrt h.\nAnswer: 84*m**2 - 8478*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 13*i**2 + 2*i - 19. Calculate a(-13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*y + 31*y - 176 - 220*y + 176.\nAnswer: -121*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/13, -25\/6, -5, 2, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 2. Let q(c) = -8*c + 2. Suppose -10*o + 32 - 2 = 0. Let v(y) = o*m(y) + 2*q(y). Let j(p) = -p**2. Determine v(j(u)).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 11 (b) 5 (c) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535763?\nAnswer: 61, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 14*c + 2*c - 82.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -306.98, 0.2 in ascending order.\nAnswer: -306.98, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.3. Let i be -1*(2\/(-5) + 2\/10). What is the closest to -19 in p, 2, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 89. Suppose -5*d + y = -4. Let b(n) = -n**2 - 9*n - 6. Calculate the smallest common multiple of d and b(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*f**2*h - 35467*f**2 - 45*f*h - 2*f + 4423*h wrt f?\nAnswer: -46*h - 70934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -63, -150, -273?\n\"Answer: -18*m**2 + 3*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 40, -7, -4, -3 in increasing order.\nAnswer: -7, -4, -3, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 36*n = -12. Let x = 21 - 16. Put 4, -5, n, x in decreasing order.\nAnswer: x, 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*w - 51*w + 157*w + 130*w)*(-w - w + w).\nAnswer: -277*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - 314 + 279 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -1752*c + 1751*c + 6*m, -4*m - 42 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6143510 to the nearest integer?\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 - -36.837658?\nAnswer: 520.837658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -49*o**3 + o - 5. Let u(v) = 48*v**3 - v + 6. Let h(y) = 6*b(y) + 5*u(y). Is h(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (16 - (0 + 0)). Let k(g) = 9*g + 3. Let s be k(-7). Let y be 6\/(-21) - s\/m. Let w(p) = p**2 - 4*p + 5. What is w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 18.175, -5, 0, 16\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.12 + 0.12. Which is greater: v or -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 111*m**2 - 54*m**2.\nAnswer: -165*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 < 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -18, -50\/9, -0.2, 56, 0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-4 - -20) + -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -18?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2100, 2096, 2092, 2088?\nAnswer: 2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 18*i**2 + 2*i. Let y(p) = -3*p**3 + 53*p**2 + 7*p - 1. Give 7*q(s) - 2*y(s).\nAnswer: -s**3 + 20*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from cttxcccp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17593 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*q - 2230 = -84*q. Suppose -11 = -3*n - q. Let d = -103 - n. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.057, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 6, -131, -4, 1 in ascending order.\nAnswer: -131, -38, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*o + 3 - 1, 5*o = 4*q + 12. Suppose -c - 4 = -3*c. Let l = 17 - -5. Solve -2 = -q*r, 5*h = c*r + l - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 985\/273 - ((-259)\/(-91) - 3) and -73\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 3*p - 9 + 2*p**2 - p**2. Is 3 a factor of w(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10564983 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizyiyiii. What is prob of sequence ziyi?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 411*m - 407*m. Sort -5, m, -4.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 871 by 354.\nAnswer: 871\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = -2*o - 4, 5*o + 4*p = 35. Suppose -d = -o*d. Let y be 6*(3\/6)\/1. Solve 4*q - 20 = 2*f, 3*q - y*f - 9 - 12 = d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 489.\nAnswer: -5\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1865 + -1866. Let g = 0 + -1. Let j = 5 + g. What is the closest to -13\/5 in y, 3, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let d(r) = -2*r**2 + 20*r. Let a(p) = 8*p**2 - 120*p + 1301. Let g(n) = -a(n) - 6*d(n). Calculate k(g(o)).\nAnswer: 8*o**2 - 2602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x**5\/4 + 32*x**4 + 603*x**3\/4 + 81*x**2\/2 = 0. What is x?\nAnswer: -9, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 6. Let n(m) = -2. Let z(k) = 5. Let v(l) = 7*n(l) + 3*z(l). Determine -c(a) + 4*v(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.88059 rounded to 1 decimal place?\nAnswer: -99.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1934 + 1930. Let c(u) = -4*u + 2. Let y(q) = -3*q + 2. Give g*c(f) + 5*y(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 19 - -58) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22727835*t - 30022602?\nAnswer: -22727835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*-46*37\/(-10212).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -312, -668, -1158, -1782, -2540?\n\"Answer: -67*k**2 - 21*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 68*i**3 - 38*i**2 + 184*i**3 - 364*i**3.\nAnswer: -112*i**3 - 47*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*a - 961809 = -121*a + 11994615. What are the prime factors of a?\nAnswer: 131, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + (-6)\/(9\/(-3)) + -1. Suppose 13*u + 292 = o*u. Let z = -55 - u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b + 63*b = 4*y - 20, 5*b + 7 = -y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54672 (base 11) in base 9?\nAnswer: -130738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20996 times -3\nAnswer: -62988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1445, 11648, 39379, 93410, 182513?\nAnswer: 315460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express 113 - 2*n + n**2 + 3*n**2 + n**2 + 408*n**3 - 403*n**3 - 6*n**2 in the form g*n**2 + s + f*n + c*n**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*p + 8 = -12, -4*u = 4*p - 104. Suppose 3*o - 5*o + u = 0. Round o to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21896 + -21171. Calculate the highest common factor of y and 435.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1340, -5360, -12060, -21440, -33500, -48240?\n\"Answer: -1340*a**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 4. What is the tens digit of s(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7*q**4 - 471\/7*q**2 - 41\/7*q**3 + 1444\/7 - 133*q = 0. What is q?\nAnswer: -19, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*n - 8313 = -8371, 4*i + 3*n = -34. Factor 8\/5 + 2\/5*z**i + 2*z.\nAnswer: 2*(z + 1)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2753 - -2757. Solve 5*a + 5*c = 0, -7 + 4 = a + y*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 9:03 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 + 43799553*z - 2. Let w(k) = -k**2. Determine c(w(g)).\nAnswer: 5*g**4 - 43799553*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7680668 and 37\/1016559?\nAnswer: 69126012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2938*c = 2939*c - 3*l + 5, 0 = -249*c + 3*l + 243 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Let s be (3\/(-8))\/(v\/(-80)). Suppose -4*f - 9 - 15 = -4*l, 2*f = -3*l + 33. Is s > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 55508 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*g - 16. Suppose 0 = g*p + 6*p - 32. Put p, 7, 22 in increasing order.\nAnswer: p, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-70))\/(1 + (-39)\/21)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 712*z**2 + 3. Let j(g) = -17*g. Give f(j(t)).\nAnswer: 205768*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Suppose a = -2*l - 0*l. Suppose -3*h - h + 132 = l. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -297\/7. Let u = g + 135\/77. Let j = -114 + 911\/8. Which is the closest to u? (a) -2 (b) -1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-70)*10*68\/8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 6*c - 1. Calculate n(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4625610 and 1210?\nAnswer: 50881710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28966 = 4*p - 84289 - 30245. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(6\/11)*(h\/h**(-18))\/h**(2\/45))**(2\/7) assuming h is positive.\nAnswer: h**(19846\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10033013301101 + 1?\nAnswer: -10033013301100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32256171 + -10?\nAnswer: 32256161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -13\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ookkokokkokko. Give prob of picking 2 o.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16086 <= -1\/3469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/30*s**5 + 0*s**3 + 0 + s**2 + 0*s + 0*s**4. Let w(q) = 4*q**2. Give w(n(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -3*o**2 + 0 + 2\/3*o**3 + 1\/6*o**4 + 47*o. Let z(a) = 0. What is a?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 2 (b) 132\/251 (c) 2\/7 (d) 8 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*u**2 + 904*u**2 + 911*u**2 - 2733*u**2.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.9 minus 507.190648?\nAnswer: -462.290648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 17 = -3*i + 13, 0 = -4*i - 5*a + 9. Let p = -8 - -11. Suppose -4*d + 2*d = p*t - 1, -t - 1 = 0. Solve -i - 2 = -d*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50 - -14)*6\/8. Let p = z - -162. Suppose 7*a - 12*a + p = 0. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982.8567l in millilitres?\nAnswer: 982856.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -17. Let k be (-14)\/w + 4\/8. Let l be 2 + (-3)\/(-9) + k. Which is the closest to 0? (a) l (b) 0.4 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270277311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 32 = -w + 105, -4*h - 5*w + 143 = 0. Let u(f) = -13*f - 5. Let s be u(-3). Let r = s + h. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 97\/2 + (-5)\/(-10). Let v = 225 - f. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.19, 2\/241, -0.3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 4:00 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, -4\/5, -1.1 in increasing order.\nAnswer: -1.1, -4\/5, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/15 + 56017208*i**2\/15 + 392240949014408*i\/15 = 0.\nAnswer: -14004302, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 6*z - 5. Let w be r(5). Let f(y) = y**3 + 6 - 6*y + y**2 - 4*y**2 + w*y**2. Is f(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223070790 to the power of 1\/3, to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 4*s - 12. Let n(l) = -5*l**2 - 7*l - 23. Let t(o) = -7*i(o) + 4*n(o). What are the prime factors of t(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 7*u - 304667 + 304728, 3*x - 5*u = 17 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 20389778*g + 61169325.\nAnswer: (g + 3)*(g + 20389775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3, -b = -2*t + 4*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7803 + 5098 - 318)*(3*l - 5*l + 0*l) + (-1 - l + 1)*(-2 - 4 + 4))*(2*l**3 + 0*l**3 - l**3).\nAnswer: -25164*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3586533800 rounded to the nearest one million?\nAnswer: -3587000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266076916 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 + 6 + 6 - u)*(-3 + 3*u + 3)*(4*u + 0*u - 3*u) to d*u + c*u**2 + h + m*u**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 3*k**2 + 2*k - 1. Let z be n(3). Solve 3*g = -4*d - 14, d - z*g = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8))**47 assuming o is positive.\nAnswer: o**(-376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1408, 126, -3, 1\/2, 3\/8, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435446 + 3*h + 435446.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1496 and 96528.\nAnswer: 18050736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -1457, -3595, -6683, -10733, -15757, -21767?\nAnswer: -28775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-210))\/((-3)\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/2*((-8)\/10 + 12*26\/(-585)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 111000001011100 (base 2) to base 13\nAnswer: 10128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 m when three letters picked without replacement from mdmjddlmldmzmddmd?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuuuuuzuuutt. What is prob of picking 1 v and 2 u?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-34 - (19 + 6 + -33))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 481 = 4*f - 490, 3*f = 4*n - 131. What is the lowest common multiple of 319 and n?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6561308*h**3 - 5754525*h**2 wrt h.\nAnswer: -39367848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13115, -26293, -39477, -52667?\nAnswer: -65863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/232 and -46\/15573.\nAnswer: 124584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.9 minus -3833646746?\nAnswer: 3833646867.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362406 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/30 - 3\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3073 from -116162.\nAnswer: -113089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 20*d + 200.\nAnswer: -4*(d - 5)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2. Let u(s) be the first derivative of 3*s**3 + 21. Determine u(n(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1\/5, -0.4, -4\/7, -14.3 in increasing order.\nAnswer: -14.3, -4\/7, -0.4, -1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 2\/17 (b) 0.5 (c) 2\/3 (d) -95 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) -0.4 (c) -1\/20 (d) -2\/3 (e) -4.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:59 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 26*p = 6 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2.14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/6 + 2*c**3\/3 - 5*c**2 + 3*c + 18. What is g(6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.03, -4, 12, -20.9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -136.424?\nAnswer: -136.424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -4 - (-13 - -1). Suppose -4*h + 53 = 9. What is the highest common factor of h and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45533011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -0.014 in descending order.\nAnswer: 1, -0.014, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 2532*f**2 - 215748*f + 4325724.\nAnswer: 4*(f - 39)**2*(f + 711)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 108 (b) 1.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3233764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-39 - -48) + -31 + -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-25)\/(-220)*-4)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-10) + (2 - 0) + 1. Suppose 0 = -3*u + 5*u - 5*l - 230, z = u + 2*l - 106. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/((l*l*l**(2\/9))\/l))**(-37))**10 assuming l is positive.\nAnswer: l**(21830\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 25 = 3*m, -5*q + 16 - 45 = -3*m. Suppose 7 = -m*r - 5*k, -4*r + r - 4*k = 2. Solve p + r = 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472\/(-413)*14\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956315817 to the power of 1\/3, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + u)*(1078*u + 1298*u + 2 - 2595*u).\nAnswer: -219*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*g**2*h**2 + 562*g**2*h*k + 18*g*h**2 - 3*g*h*k - 926*g - 3*h**2*k wrt k?\nAnswer: 562*g**2*h - 3*g*h - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 2*x + 3*u, -2*u + 4 = 0. Find the common denominator of x\/(-10) + (-301)\/(-420) and -45\/22.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 23*i**2 + 76*i - 2. Determine t(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 2}. What is prob of picking 1 n and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3605 + -3600.06. What is d rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2201*a**3*n**3 + 4*a**3*n**2 + 200*a**2*n**2*y + a**2*n**2 - 6*a*n**3*y - a*n**2*y wrt n?\nAnswer: 13206*a**3 - 36*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -20*z - 9. Let j(o) = -7*o - 3. Let f(s) = 17*j(s) - 6*w(s). Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-34230)\/(-15) - -2) + 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17664?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/5*v - 18\/5*v**3 + 48\/5*v**2 + 4\/5.\nAnswer: -2*(v - 2)*(3*v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/14 - (-144615)\/21. Let h = 9826 - c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 32 = -32*o + 37*o, 0 = -5*o + n - 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 + 182. What is the remainder when 5679 is divided by q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/13052 and -75\/8638.\nAnswer: 56371588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/102 + 4*r**3\/51 + 4*r**2\/17 - 29*r + 83. Let h(k) be the first derivative of j(k). Suppose h(g) = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 121*h**2 - 160*h + 9476. Determine n(-123).\nAnswer: -1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1424\/35 + 13\/70. Let d be (-200040)\/50*((-23)\/(-16) - 2). Let o = -2246 + d. Calculate the common denominator of o and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**3\/6 - 11*f**2 + 4. Let h(g) = 2*g - 10. Let a(q) = -q + 5. Let m(u) = -5*a(u) - 2*h(u). What is 5*l(v) - m(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 11, -0.4, -9, -0.2 in decreasing order.\nAnswer: 44, 11, -0.2, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*w - 145*w + 286*w - 37.\nAnswer: 2*w - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*j = -i + 112, 20 = 4*j. Suppose 27 = -2*h + i. Sort -15, h, -1 in descending order.\nAnswer: -1, h, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27786647 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o + 84 = 0. Let d = -1682 + 2571. Suppose -263 = -32*v + d. Calculate the lowest common multiple of v and o.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 598\/(-14)*2\/(-10). Let k be ((-9)\/6)\/((-10)\/56). Let q = k - j. What is the second biggest value in q, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(6\/21 - 3\/7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/213 and 43\/15.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j)**(-12)*(j*j\/(j*j**(4\/5)))**(-10\/13) assuming j is positive.\nAnswer: j**(778\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/d**(-15))))\/d)**45\/((d\/(d**(-16\/9)*d))\/(d*d**(2\/11)*d)) assuming d is positive.\nAnswer: d**(62410\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:02 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -100308\nAnswer: -100311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyzpzy. Give prob of picking 2 y and 1 z.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2226934911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**2\/2 - 6*b + 805. Suppose j = 3*j - 32. Let p be -4*14\/j*2. Calculate o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 694*a**3 + 57470201*a - 57470201*a.\nAnswer: -694*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.160766 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**3 + 34*i**2 - 25*i - 98. Determine f(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1223*s**2 + 18*s. Let v(o) = -255612*o**2 + 3759*o. What is -1253*t(z) + 6*v(z)?\nAnswer: -1253*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*n + 6 + 29*n + 79*n - 39*n.\nAnswer: 307*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - (-282)\/(-30))\/(3\/(-1350)). Solve -i = 7*f + 38*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*f**3 + 0*f + 3\/2*f**2 - 2.\nAnswer: (f - 1)*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 187597 + -0.2.\nAnswer: 187596.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5320\/51 greater than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.22 + 8.11. Let z = -2.39 + c. Which is bigger: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1750 + -1434. Solve -315*b - 2 = -h*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 1 + 0 - 6*d**4 + 0*d**3 - d + 5*d**4 as m*d**3 + w*d + r*d**4 + b + j*d**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 196, 467, 1002, 1891, 3224?\nAnswer: 5091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 2, w: 1}. Give prob of picking 3 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b + 13*b - 100. Solve -3*q - b*y = 21 - 5, -4*q = -y + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from eexxedpgxelp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (126\/(-15))\/(9\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/(-451)*473\/(-6235).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1726, 1722, 1716, 1708?\n\"Answer: -i**2 - i + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 - 97. Suppose -4*a - p = -3*r, -r + 3*a - 52 = -2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22912, -45758, -68650, -91600, -114620, -137722?\nAnswer: -160918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d - 29 = -30*d + 87*d + 41 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/114 - (-4)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, -21, -65, -137, -243, -389, -581?\n\"Answer: -n**3 - 5*n**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 17*n + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -287*h. Let n be (15 + 660\/(-48))*4. Let d(w) = 26*w. Calculate n*l(u) + 56*d(u).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*z + 16 - 20\/9*z**2 - 2\/9*z**3 = 0. What is z?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1. Let x = 3 + -1. Let d(w) = 5*w + 0*w**2 - w**x - 4*w - 2*w. Determine b(y) - d(y).\nAnswer: y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70417 and -0.2.\nAnswer: -14083.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + n + (2 - 4 + 4)*(3*n - n - 5*n) + 3*n + 5*n - 4*n)*(-n**3 + 2*n**3 - 2*n + n**3) in the form f + a*n**4 + c*n**2 + d*n**3 + s*n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.6 - 48. Which is the second smallest value? (a) w (b) 0.4 (c) -5 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4013.\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.005682 and -15.\nAnswer: -15.005682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - 0. Let p = 1.49 + 0.01. Let q = k + p. Are q and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1251 + -62563\/50. What is the common denominator of p and 93\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*q + 135 = 0, 46*n + 145 = 43*n + 4*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -584003082*t + 1453499183?\nAnswer: -584003082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w*w**8*w))\/w)\/(w\/w**(-5))*w\/(w\/w**4)*w\/w**(-1\/7)*w*w assuming w is positive.\nAnswer: w**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*d = 181*d - 10. What is the nearest to d in -4, -1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -20. Let q(x) = x**3 + 13*x**2 - 2*x - 41. Let b(m) = -2*m**2 - 5. Let n be b(-2). Let a be q(n). Is w > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3 + 427*t**2 + t + 8354?\nAnswer: -6*t**2 + 854*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 3*q**2 - 6*q + 3. Let r be m(4). Suppose 4*w = -0*w + 20. Suppose r - 540 = -w*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (2 + 0)) + (11 - (-7 + (-20 - -1))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-61400)\/144 - 2\/6. Let k = b - -431. Find the common denominator of (-475)\/70 + (-4 - -6) and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 18\/1*1\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 17 = -5*q, -253*q - 247*q + 11*v + 103 = -503*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2379714716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c + 3. Let y be k(0). Suppose 4*v = -2*n - 92, y*n + 95 - 5 = -4*v. Is v > -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*r**4 - 42750013*r + 6*r**2 + 2*r**3 + 42750018*r + 6 in the form f*r**3 + s + u*r**2 + h*r**4 + l*r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16329640 rounded to the nearest ten thousand?\nAnswer: 16330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3744197539 - 3744197475.00000172. Let s = -64 + r. What is s rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*m + 31 + 6, -4*m + 16 = t. Suppose -m*z - i - i + 21 = 0, -3*z = -3*i. Differentiate 3*q**z + 0 - 1 - 2*q**3 wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = w - 3, -w + 2*a + 7 = 0. Suppose -40 = -w*b + 3*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - 3*p)*(-4*p + 0*p + 2*p)*(2*p - p + p).\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/228 and -37\/1948008.\nAnswer: 37012152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -7*b**3\/2 - 10*b. Let u(f) = 2*f**2. Give u(m(h)).\nAnswer: 882*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syddgejg. Give prob of picking 1 y and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttl when three letters picked without replacement from {b: 1, x: 1, j: 2, l: 1, y: 1, t: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 64a9c?\nAnswer: -64aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -209, -10.\nAnswer: -209, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 87172124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4802?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -483, 0.3, -1.7, -5, 4, -3?\nAnswer: -483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14010540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -580 + 403. Find the common denominator of -1 + (-11)\/6 + -1 and (n\/16)\/3 + 1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4231494 by 23.\nAnswer: 183978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 60 + 60. Let u(v) be the third derivative of 7*v**4\/12 - 535*v**2. Determine u(l(n)).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.4. Let w = l + 0. Suppose -v = 4*x - 1, 0 = 2*x - 2*v + 7*v + 13. Which is greater: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 7*z**2 - 5*z + 4. What is the units digit of p(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136511681 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 16271333.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*o**4\/8 - 909*o**3\/2 - 1221*o**2\/2 - 204*o.\nAnswer: 3*o*(o - 136)*(3*o + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*p + 4*i, 0*i - 6 = 2*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 1271 = 436 - 315. What is the remainder when 77\/2*(2 + 0) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 37, 63, 93, 127, 165?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20*w**3 + 3*w**2 - w - 12. What is o(2)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1 + 4)\/(18\/(-12)). Let f be (11\/g)\/(5\/30). Let a be (-5)\/25 + f\/(-90). What is the closest to 2 in -2, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(44*b - 109*b - 54*b) to i + q*b and give q.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-30)*(-18)\/102\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -221151315, -442302631, -663453947, -884605263, -1105756579, -1326907895?\n\"Answer: -221151316*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 32 = -3*p, 8*p = 7*p - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 1\/8 (c) 0.4 (d) -431 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 84 + 36 = 0. Suppose -5*z + 85 = -3*f, 3*z + f - 23 = z. What is the remainder when s is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*n + 120, 5*m + 27*n - 24*n - 150 = 0. Calculate the least common multiple of 21 and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*a - 127*a + 635 - 5575 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 39510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**7\/2520 + m**4\/12 - 2*m**2. Let i(z) be the second derivative of f(z). Let k(y) = y**2. Determine i(k(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c - 5. Let o(v) = -2*v + 880 - 2636 + 876 + 875 - 2*v. Calculate 6*o(g) - 5*w(g).\nAnswer: g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 5. Calculate p(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*b - 1 - 7, b = i - 5. Suppose 0 = -g + 123 + i. Let s be g*64*250\/8. What is s rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 27*w - 4. Let u be y(5). Let h(s) = 2*s**3 - 28*s**2 - 605*s + 11. Let l be h(26). Suppose -l = -3*n + u. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -425\nAnswer: 19\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*d - 131 - 480 - 339 = -2*k + 299*d, 16 = -4*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 47*s**2 + 17. Let f(n) = -16*n**2 - 6. Let w(a) = -17*f(a) - 6*u(a). What is the third derivative of w(i) wrt i?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112620401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300155 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -30)\/(3\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1712 (base 11) in base 9?\nAnswer: -3004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-72)\/(-16)) + -151. Let t = 766 + v. List the prime factors of t.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1234272 and 1472.\nAnswer: 2468544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/9 + (-30)\/15. Let u = -8.34 - -4.34. Does u = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1351 + 2561. Calculate the remainder when z is divided by 153.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5001 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p + 11. Let m(v) = 3*v - 28. Let t be m(12). Suppose 65 = 3*h - t*h. What is the tens digit of r(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) + sqrt(1400)*-2)*5)\/((-5*(1*sqrt(77) + sqrt(77) + sqrt(77)) - sqrt(77))\/sqrt(11)).\nAnswer: 25*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*k = 878, -49*k + 53*k = 5*y - 2213. What are the prime factors of y?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8403 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71346, -71350, -71358, -71370, -71386?\n\"Answer: -2*q**2 + 2*q - 71346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -85, -103, -121?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let o(a) = -3*a**2 - 6*a. Let n(y) = y**2 + y. Let x(h) = -6*n(h) - o(h). Determine x(p(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/4)\/((-69)\/(-32108))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u + 1899601. Let h(m) = m**2. What is s(h(g))?\nAnswer: 6*g**2 + 1899601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Suppose 0 = 4*h - 0*f + 2*f - 6, y = -h + 4*f + 15. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 6. Let u(y) = 7*y + 13. Let m(r) = 5*k(r) + 2*u(r). Let q = -13 + 6. List the prime factors of m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-2) - (-8)\/(-16). Let s = -12 - -16. Suppose -s*z + 116 = p, -y*p + 0*z - 4*z + 548 = 0. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146\/308 + 53\/(-1166)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32133849941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 434 and 11430 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 4560930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 397 = 2*f - u, 0 = -3*u - 15. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22374 and 1017?\nAnswer: 22374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/6 + 111696625*f**2\/6.\nAnswer: -f**2*(f - 111696625)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8542 - 8540. Which is the smallest value? (a) 14 (b) j (c) -1 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1527, 1196, 653, -96, -1045, -2188, -3519?\nAnswer: -5032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 less than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1304248?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -158*l**2 + 71*l + 956. Let q be x(-17). Round q to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001265 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -543912 divided by 393\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2154 divided by 2.\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/630 and -79\/1854000.\nAnswer: 12978000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 381 and 4?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -28.\nAnswer: 43\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -1.4. Let o = -4 + r. Let m be (-3)\/(-5)*(-2)\/3. Put o, 1, m in decreasing order.\nAnswer: 1, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*m + 2*c = -725*m + 10, 41*m + 0*c + 85 = c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 4. Let y be i(6). Let u be (-1)\/(1 - 12\/10). What is the third derivative of -4*z**u + z**2 - 2*z**y + 5*z**5 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696696319.\nAnswer: 11, 29, 2184001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5\/2 (b) -2\/7 (c) 9 (d) -213\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 430 = 27*s - 23*s, -3*u + 446 = 4*s. Is s a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 10. Let i be l(3). Let q = -2\/175 + 72\/175. Is i at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48057, 191755, 431253, 766551, 1197649?\nAnswer: 1724547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*t - 2*c - 2, -t - 5*c - 7 = 0. Suppose 6*n = 14*n - 32. Suppose -3*x - 90 = -n*o, -t*x = -5*o + 4*o + 18. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 18339571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30170 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8837623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*525\/(-2520)*8\/(-30)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1782, -9640, -17498, -25356?\nAnswer: -33214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235133609?\nAnswer: 677, 347317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 169255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Let g be ((-1)\/(-2) + 0)*t. Let r(f) = g*f - 2*f - 1 - f. Give r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1*(sqrt(720) + -1) - (sqrt(720) + 2)**2*5)*3.\nAnswer: -10863 - 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 + 0.2. Let d = -0.04 - v. Let n = 3 - 3.1. Which is the nearest to n? (a) 1 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*((-5220)\/(-800))\/(-87)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g**3\/4 - 81*g**2 - 937*g\/4 + 147\/2 = 0 for g.\nAnswer: -3, 2\/7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -s + 2324 + 8893, 4 = -v. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s - 1. Let t(p) be the third derivative of p**6\/40 - 7*p**5\/60 - p**4\/6 - 5*p**3\/6 + 9*p**2 - 59*p. Give t(d) - 5*u(d).\nAnswer: 3*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m + 3*d - 5*d, -2*m = 4*d - 22. Let l(k) = -k**3 + 2*k**2 + 2*k + 2. Let y be l(m). What is the units digit of (1 - (-2)\/2) + y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 179, 270, 361, 452, 543?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002989 rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-5 - -3)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**2 + 9*o**2 + 2*o**2 - 5 - 5*o**2 wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, 41, 53, 49, 23?\n\"Answer: -s**3 + s**2 + 26*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 + 11*d**2)*(-1171 + 49*d + 1171)*(3 + 0 - 4).\nAnswer: -637*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(-6) - 4\/24. Is -3 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let m be (-40)\/6 + q\/(-3). Let f be m\/15 - 12\/(-5). Solve 0 = f*g + 3 + 3, 0 = -3*t + 4*g + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -75, 1\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) + 72\/(-130). Let d = -4.06 + 0.06. Let i = 814 - 817. Which is the nearest to 1\/5? (a) m (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51\/7 - 254\/35. Let t = 2517 + -88432\/35. Let j = p + t. What is the common denominator of j and -25\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 103 - -2037?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/78221 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 161, 10, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29985 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*z + 3 - 873*z - 3 + 4333*z + 820*z.\nAnswer: 5070*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2092356*a**2 - 3*a + 431964 wrt a.\nAnswer: 4184712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -127?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/18216 and -101\/3564.\nAnswer: 163944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4750 and 371670875?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -16*j**2. Let b(q) = 4*q - 13. Let d(u) = -2*u + 6. Let s(w) = -6*b(w) - 13*d(w). Calculate g(s(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, 17, 238, -6 in ascending order.\nAnswer: -6, 1, 14, 17, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 16461954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m = -3*s - 1, -2*s + 2*m + 10 = 0. Solve -2*f - 1 = 4*n + 5, 0 = -s*f + 4*n - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1455 and 3?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = 2*k + 3 - 31, -8*k + 11 = -2*w - 9*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 51. Let g be (-2 + -1)*5\/v. Which is the closest to g? (a) 3 (b) -1\/6 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d + -b62?\nAnswer: -b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 0*d**3 - d**3)*(-4 + 8*d - 1 + 3).\nAnswer: -16*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-20))\/1 - 34\/(-8). Suppose -g + r*t - t = -20, 8 = 5*g + 3*t. Solve -g*h - 29 = -9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238 times 0.3305412\nAnswer: -78.6688056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(1300))**2 - -1*-3*sqrt(1053).\nAnswer: -27*sqrt(13) + 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {n: 1, w: 1, y: 4, r: 7, j: 3}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a91 (base 13) to base 7\nAnswer: 5162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/3 (b) 0.5 (c) 12\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/8 + 30\/(-4). Suppose -8 - 13 = -4*r - a, -2*r + 9 = -a. Suppose 3*s + 23 = -2*m, -s - 5 = 4*s - r*m. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 9*l**2 - 81*l**2.\nAnswer: -83*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -110569135?\nAnswer: -1\/22113827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3284*f**3 + 3398*f**3 - 76*f**3.\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 20*s + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7184968\/42*(-21)\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90149 is divided by 95.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5a38 (base 12) to base 15\nAnswer: 2eee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -67. Let x be (3 + 7\/(-2))*u. Suppose -2*k - 2*w + 88 = x, -3*k + 137 = -0*w - 2*w. Calculate the smallest common multiple of k and 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 666, 1648, 3022, 4788?\nAnswer: 6946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let v(w) be the first derivative of w**5\/120 - 5*w**3\/3 + 2. Let l(s) be the third derivative of v(s). What is l(g(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 96.72911g?\nAnswer: 96729.11","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.092 and -448?\nAnswer: -41.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6144)\/(-2816)*(-10 - 1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/46, -10, -0.11, 2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 181*y**3 + 180*y**3 + 4*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3\/3 - 7*n**2\/2 - 12*n - 5. Let j be b(-6). Let m(w) = -w**2 - 7*w - 7. What is m(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/75 and -89\/10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 82. Suppose -2*f - l = -759, t*l = 5*f - 3*l - 1914. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8.2. Let p = 0.3487 + -0.7487. Sort 1\/4, b, p in decreasing order.\nAnswer: 1\/4, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 - 250*f**2\/9 - 1936*f\/9 + 3872\/3.\nAnswer: 2*(f - 132)*(f - 4)*(f + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**3\/3 - d**2\/2 + 68*d - 55. Is 15 a factor of q(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34780048?\nAnswer: 2, 23, 29, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -5, -15 in increasing order.\nAnswer: -15, -5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -29912019046593.\nAnswer: -29912019046592.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) 34 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6997.90696 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + (-552)\/(-20))*((-26)\/(-4) - -1)\/(-3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**4\/12 - 5*z**3\/6 + z**2 - 3*z. Let t be r(5). What is the common denominator of 99\/8 and 1 + t + (-12)\/(-60)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1263 - 941. What is the remainder when o is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let u(o) be the first derivative of 2*o**3 - 8*o**2 - 2*o + 1. Let z(i) = 12*r(i) + u(i). Factor z(a).\nAnswer: 2*(a - 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*w + 3*f + 15, 3*f = -15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 26. Let u = 23 + t. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 11:45 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 4. Let w(u) = -3*u - 7. Suppose a = -2*a - 9. Suppose 118*p = 125*p + 1442. Let h = p + 201. Determine a*w(c) + h*t(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let d = -2 + z. Suppose 6 = -d*s + 2*s. Solve 3*l = -0*l + s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:11 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v + 60. Let t = 27 - 27. Suppose 0 = -t*m + m + 3*p - 5, -38 = -4*m - 3*p. What is the remainder when l(8) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 15. Suppose -35 = -4*o + 13. Let p be (-26)\/(-4) + 6\/o. Let z(a) = 5. Let c(t) = p*z(t) - 2*q(t). What is the first derivative of c(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1328514 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6120310 (base 7) in base 5?\nAnswer: -141241112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -59671 - 0.2\nAnswer: -59671.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 12871?\nAnswer: -12871.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -293, -663, -1181?\n\"Answer: -74*w**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 114742*s - 573760.\nAnswer: 2*(s - 5)*(s + 57376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*b - 4*x + 5 = 0, 2*b = 5*x - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**5\/20 + d**4\/2 - 2*d**3\/3 + 3*d**2 + 9*d. Let w be j(-7). Let l be ((-18)\/60)\/(18\/w). Which is greater: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35905, -71930, -107955, -143980?\n\"Answer: -36025*f + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2380 and 1?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 - 359*t - 129. Determine c(120).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 32*f**2 + 110*f + 51. Let b be a(28). Let i be (76\/(-6) + -4)\/(b\/15). Solve 54*n = i*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142537 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5762 - -5890. What is the greatest common factor of j and 408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.41 + 0.41. Which is the closest to k? (a) -0.03 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207531.\nAnswer: 37, 59663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 7 - -8) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34729476 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(125)*1 - (-3 + sqrt(80))).\nAnswer: -9 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-15)*21 + -4. Solve d**2 - 19*d**2 - 8*d + d**3 - 14*d**2 - 27*d**t - 6*d**4 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -163b6 + -4?\nAnswer: -163ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*(r**(-8)\/r*r)\/r))\/r*((r*(r**(-9)*r)\/r)\/r)\/r)\/(r\/(r*r*r*(r\/((r**(-7)*r)\/r))\/r)*r\/r**7))**(-14) assuming r is positive.\nAnswer: r**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*s = 316, 2*l = -5*s + 168 + 113. Let f = -67 + l. Suppose 5*v + f = 4*o, -v = -5*v - 8. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**(-11)*j*j*j*j)\/j)\/j)\/(j**(-4\/5)*j))**(-28)\/(j*j\/j**(2\/7)*j*j**(2\/9)*(j*j**(-2)*j)\/(j*j**1)) assuming j is positive.\nAnswer: j**(63209\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/4 + 2*a**3\/3 + 3*a**2\/2 + 4*a + 1. Calculate f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - r - 278 = 0, 5*w - 217 - 233 = -r. Solve -6*z = -w + 85 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z = 2 - 26. Let t(x) be the first derivative of x**6\/120 + x**5\/30 - x**4\/24 - x**2 + 2. Let w(y) be the second derivative of t(y). Determine w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/(-8) + -1)*(396\/(-21) + 19).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1 - 2*-17 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262668 divided by -87556\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 6:36 AM?\nAnswer: 109","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 15*b - 10. Let q(u) = -u**2 + 8*u + 5. Suppose 1 + 38 = 2*s + 5*o, 5*s - 30 = o. Let c(r) = s*q(r) + 4*t(r). Calculate c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/40 + (-3990)\/(-4560)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i**(-2\/3)*i*i)**(-34)*i**(-6)*i**(5\/4)*i\/(i*i**(-2\/3)*i)*(i\/i**(-1\/4))\/i assuming i is positive.\nAnswer: i**(923\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let y = 216 - 212. Is z > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-15 - -30) + -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s - 3. Let f be j(3). Calculate the greatest common factor of 28 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*4)**2 + (sqrt(245) - -1*sqrt(245)) + -1 + (3 + sqrt(55)\/(sqrt(132)\/(-3*sqrt(12))))**2 + 5.\nAnswer: -4*sqrt(5) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-620)\/(-50) + (-4 - (-16)\/10 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 11*v + 1 - 1 + 2*v)*(-25*v + 6*v - 12*v).\nAnswer: -310*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 + 12*s - 39. Calculate the remainder when g(7) is divided by 63.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 7*m - 8 - 4*m + 2*m + 4*m.\nAnswer: m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.027, 79, 6, 0?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 3, -10, 0, -87 in ascending order.\nAnswer: -87, -10, -6, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -354 - -358. Suppose 0 = 5*l + f - 64440, t*f + 12 = -8. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjx when four letters picked without replacement from {x: 2, j: 11}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j + 29 = 12*j. Which is the third biggest value? (a) j (b) -1.2 (c) -1\/4 (d) -0.4 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -19 + 9\/2*p**3 + 729\/2*p - 243\/4*p**2 - 1\/8*p**4. Determine c so that n(c) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*a - 2. Suppose -3*p + a*p - 4 = 0. Solve 0 = p*k + 2*k - 4*x - 20, 0 = -k + 2*x + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*1)\/(20\/8*(-21)\/35). Sort 260, u, -6 in ascending order.\nAnswer: -6, u, 260","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/4)\/v*v*v**(-2\/5))\/(v**(-27)\/(v\/(v\/((v\/(((v\/(v**(-9\/2)*v))\/v)\/v)*v*v)\/v)))) assuming v is positive.\nAnswer: v**(557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i*m + 6*i*r + 2*m + 74*r - 2 wrt i?\nAnswer: -4*m + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, m: 5, d: 2}. What is prob of picking 1 d and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 37587*t**2 + 7*t - 7. Let m be p(6). Let r = m - 854838. Let o = r - 1018329. Round o to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 7 - (1 - 1). Let s = -215 + 215. Is s != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -37*t + 11. Let i(a) = 75*a - 26. Give 7*f(q) + 3*i(q).\nAnswer: -34*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-16)*-4*5. Let l = -4 + o. Is l > -1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -87, -93, -101?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 10. Let w be l(-14). Is 18 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -47*v - 45. Is g(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -14*t - 718, -2*f + 261*t + 93 + 10 = 258*t - 42 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -36538\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + z**2 + 3*z + 2*z + 4 - 3. Calculate n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 10*g - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80731 or 0.3753?\nAnswer: 0.3753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 2, d: 1}. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 835, 1503, 2173, 2845, 3519, 4195?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cii when three letters picked without replacement from {i: 2, h: 5, c: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 62966 divided by 31483\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 946945393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 + 69 - 37)*(-5*t**3 + 0*t**3 + 3*t**3).\nAnswer: -282*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239786 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/3 (c) -20 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 671131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 5 + 4)*(0 - 2 + 0) - 3 + 4 + 0)*(4*r - 4*r + r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3072, -12631, -28582, -50919, -79636, -114727, -156186?\n\"Answer: o**3 - 3202*o**2 + 40*o + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/(-51) - (-2 - -1). Suppose -z - 2*j = 1, -2 + 0 = j. Suppose 0 = -z*b - 4*b. What is the nearest to b in -3\/5, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4582*p**3 - 1835*p. Let t(f) = 4579*f**3 + 1835*f. Let o(d) = 4*c(d) + 5*t(d). Find the second derivative of o(n) wrt n.\nAnswer: 27402*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 5*q + 0*q. Suppose -28*z + 24*z + 80 = 0. Let a(p) = z*p + 25*p - 65*p + 22*p. Calculate h(a(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -56*d**3 + 35*d - 35*d. Suppose 27 = 2*b - 11. Calculate the remainder when s(-1) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1031191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:10 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:33 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1747818 divided by 582606.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100581.9863337 + 100582. Round x to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose -g*s + 0*h + 5*h = 14, 0 = -s - 5*h + 23. Suppose s*l = l. Is 0 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 2, 35, 104, 221?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6 + 123\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 15*t + 5. Let j be 6\/(-8)*12\/(-3) + 1200\/240. Give k(j).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30401 + 111?\nAnswer: 31012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/119 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/100 and 63\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 5 - -7) + 46\/(-10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 3 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 0 - 107\/3*c**3 + 103*c**2 - 215*c. Find the first derivative of u(v) wrt v.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1. Let s(v) = 2*v**2 - 8. Determine 8*d(q) + s(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:54 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.21786?\nAnswer: 0.021786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1378155163 + 0?\nAnswer: -1378155163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 g when four letters picked without replacement from {g: 4, f: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89945800 by 28.\nAnswer: -3212350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, -7, -35, -85, -163, -275, -427?\n\"Answer: -o**3 - 2*o**2 + o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*f**2 - 469608*f + 93388924 wrt f?\nAnswer: -72*f - 469608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 + 7*j**3\/6 + 18*j**2. What is the derivative of h(d) wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227 and 159108613.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - ((-1)\/6 + (-5330)\/492)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 8) to base 11\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 - 78 - 61) + 0 + 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6860 - -6901.87. Let u = 326.53 + -328. Let c = l + u. Round c to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/8)\/5)\/((-621)\/9522)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185*k + 157 wrt k?\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -278663 (base 10) to base 16\nAnswer: -44087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164 * -164.\nAnswer: -26896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 2*v - 6*v - 2*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 7911.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*o - 19 = 0, 2*y - o = 9 - 2. Suppose -x = -y - 2. Let s(k) = 4 + 3 - 2 - 9*k**2 - x. What is s(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7355, -18555, -37221, -63353?\nAnswer: -96951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 - ((-139 - -14) + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/7 and 125\/4182?\nAnswer: 29274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {h: 4, y: 7, c: 1, f: 1, m: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12\/5)\/((u*u\/(u*u*u\/((u**(-13)*u)\/u)))\/u))\/(u**(-3\/5))**(-25) assuming u is positive.\nAnswer: u**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1523874 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1006 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114040022 to the nearest integer?\nAnswer: 10679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*i + 18, -5*m = -4*i - 1 - 2. Suppose l + m*l = 5*s + 364, 3*s = 3*l - 273. Suppose -l = -4*n + 1. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2206 * -29.\nAnswer: -63974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, g: 3}. Give prob of picking 2 g and 2 s.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 88\/1914509?\nAnswer: 88\/1914509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -26*a + 2340. Let l be m(82). What is the highest common factor of 26 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/5)\/((-6)\/15). Suppose 15 = -k*g - g. Let u = 0 - g. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08459 - 15.78741. Round o to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -369*d**2. Let m(x) = 2*x. Give m(r(c)).\nAnswer: -738*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1012 by -44.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*((-35)\/(-15))\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 155, 555, 1213, 2129, 3303, 4735?\n\"Answer: 129*u**2 + 13*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379 = -4*j - 16*j + 19 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.7, 4, 2\/15, -2\/11 in ascending order.\nAnswer: -18.7, -2\/11, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 19*j = 0. Which is the closest to 1? (a) j (b) -0.5 (c) -4 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21672 and 907515?\nAnswer: 7260120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 12 + 20*w + 5\/4*w**4 - 5*w**3 + 0*w**2. Suppose k(g) = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/7 (b) 2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 72 - 251 = -3*j, -2 = g. Calculate the remainder when j is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 12, -z - 3*x - 21 = -4*z. Let p be (-36)\/(-126) - (-19)\/7. Solve 0 = -p*m - 3*h - 21, -m + z*h = h + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-12) + (-842)\/(-6). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33\/7 + 3\/7*h**2 + 30\/7*h = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1911)*-1 + sqrt(1911))\/sqrt(3) + (-1*(sqrt(13) - (-2 + sqrt(1053))))**2).\nAnswer: -96*sqrt(13) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -23\/3 - 1\/12*u**2 + 9\/4*u = 0.\nAnswer: 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -1 + 1 + -3. Solve 0 = x - 1, 5*m - 1 = d*m - 3*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 124*i - 240. Let d be o(2). Let n(s) = -4*s - 48. Let q(j) = -j - 16. Let f(k) = -3*n(k) + 10*q(k). Let r be f(d). Solve r = 4*u - u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(88)*-1 + sqrt(88))*3*1)\/((-2*sqrt(1944))\/((sqrt(54) - sqrt(6))\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -8.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15115553737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-6)\/14)*24\/28. Let j(s) = 44*s + 15. Let a be j(g). Let w = a - -348. Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4539310 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-56))\/((-3)\/42). Suppose -z*b = -3*b - x - 94, 3*x + 183 = 2*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -242, -963, -2166, -3851, -6018, -8667?\n\"Answer: -241*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2925\/600*8\/3 - (-2520)\/56?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t - 25*t + 40*t**3.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1379*x - 1422*x + 5*z - 458 = 0, 0 = 2*x + 4*z + 34 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*0.4.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504809 is divided by 1154?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3094 and 273819.\nAnswer: 547638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + 2. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/38 + (-25701)\/(-57) is divided by 118.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 80. What is c(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*5.5\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 322480 divided by 8\nAnswer: 40310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5329600256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -45. Suppose u + 3*u - w = 0. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*o - 338*o + 736*o - 10710 = 293*o for o.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*s + 4*s + 0*s)*(0 + 5 - 3)*(0 - 1 - 2) + 0*s - 3*s + s)*(0*s - 34*s + 6*s).\nAnswer: 392*s**2 + 336*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 6*y**2 + 11*y - 6. What is w(-7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*w**2 - 1 + (-6*w**2 - 3*w**2 + 8*w**2)*(-4 + 6 - 3)*(-3 + 2 + 0) to the form o*w**2 + b*w + x and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 + -56. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 16*n + 45. Determine l(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33013688*a**2*w + 291*a**2 - 108111*a wrt w.\nAnswer: 33013688*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.1 + 13.1. What is the closest to 1 in c, -1.7, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 86 = 2*r, -5*v + 5*r = -62 - 33. Suppose 0 = 16*m + v - 712. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 5*d**2 + 345 - 345.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d + 2*g, 3*g = -4 + 13. Let z(l) be the first derivative of -13\/4*l**4 + 0*l + 0*l**3 - 1\/2*l**2 - 46. What is z(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4, 14*c + 84 = 15*c + 5*u. Let j be c\/6 + (-7)\/(-126)*6. What is the greatest common divisor of 48 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -4*o**5\/25 - 12*o**4\/5 - 128*o**3\/15 - 754. Find d such that m(d) = 0.\nAnswer: -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Suppose 15*i - 8*i = 14. Suppose -4*d + i*f - 8 = 0, a*d - 3*f = 3*d - 4. Sort -1, d, -5, 2 in ascending order.\nAnswer: -5, d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2771 or -2620?\nAnswer: -2620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -19. Suppose -4*q + 52 = -4*j - k*q, 28 = -2*j + q. Let i be 2 - 0 - (-48)\/j. Which is the second smallest value? (a) -7\/5 (b) i (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y + 1. Let a(k) = -2*k + 15. Let v be a(8). Let q(c) = 57*c**2 - 4*c - 52. Let t(j) = v*q(j) - 4*h(j). Differentiate t(o) wrt o.\nAnswer: -122*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from ffyffffxfyxxfxx.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 79 + 611. Suppose 562 = 5*a - r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*l - 59*l + 145*l - 2 + 4*l.\nAnswer: 11*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71826019 is divided by 331.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65782063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*c + 49*c - 2*c + 9*c to the form x*c + b and give x.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/522729 and -55\/13076901.\nAnswer: 3151533141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5874*c**4\/13 + 123356*c**3\/13 - 704922*c**2\/13 + 587640*c\/13 - 200\/13 = 0?\nAnswer: 1\/2937, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4+38.33\nAnswer: 34.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 26, 71, 154, 287, 482, 751, 1106?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(11) + 0)**2 + 0 + (2*sqrt(891) - sqrt(11)).\nAnswer: -11 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/41 (b) 3\/8 (c) 0.2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/351)\/((-2)\/(-6))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4685 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10662 times 61\nAnswer: -650382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**(18\/5)\/((i\/i**7)\/(i**0\/i)))**26 assuming i is positive.\nAnswer: i**(5486\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -427, -3719, -25 in decreasing order.\nAnswer: -25, -427, -3719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -62918 divided by -386\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.3 or 36.48?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*w**3 - 4120*f**4*w + 509*f**2 - w**3 - w**2 + 1 wrt f.\nAnswer: 48*f*w**3 - 98880*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -3*d + 0*d**5 + 0*d**2 + 0*d**3 + 0 - 2\/15*d**6 + 1\/12*d**4. Find the third derivative of v(c) wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aallallalallaalalaal. What is prob of picking 1 l and 2 a?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*1 + (-19 - -135). Let j = m - 85. Calculate the lowest common multiple of j and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -0*i. Let f(y) = -6 - i*y + 2 + 4. Let b(p) = -p**2 + p + 1. Let l(n) = -5*n**2 + 4*n + 4. Let c(s) = 4*b(s) - l(s). What is f(c(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13290 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - 8 - (-1 - -6 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 14. Calculate the remainder when 18 is divided by w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29109.\nAnswer: 3, 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 212658500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 41*d + 15. Let t be r(10). Solve -3*q = -2*p - 2, -2*p - 2 - 8 = -t*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from mjsbbwv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4107?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-20)*g))\/(g\/(g**(7\/3)*g)))\/(g*(g**(1\/11)*g)\/g*g\/(g**(-2)\/g)) assuming g is positive.\nAnswer: g**(569\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40107 or 27147?\nAnswer: 40107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-417)\/(-278)*(-14)\/6*(-57)\/(-21)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8278090 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/(r**(2\/13)\/r))**(12\/7) assuming r is positive.\nAnswer: r**(108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71316 is divided by 338.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2 - w**2 + 3)*(3*w - 2 + 2)*(4 + 5*w - 4).\nAnswer: -15*w**4 + 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 46. Let c be d(-17). Let k be (3\/(-2))\/((-18)\/(-168)). Let j = c + k. Put j, 0.2, -4 in descending order.\nAnswer: 0.2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2100 or 22882?\nAnswer: 22882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -2 - 1) + 6 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 3 = -32*n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.9 - -3223?\nAnswer: 3619.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 15*v - 233. Is 67 a factor of u(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 16.8. Suppose -15 = 3*b - 5*k, -3*k = b - 2 - 7. What is the third smallest value in f, -3\/2, 0.09, b?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 take away -19?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8108.6 minus -2735.62556?\nAnswer: 10844.22556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 46*w**2 - 33. Calculate j(46).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5*(4 + -34). Let g = n - -23. Suppose 0*k = -2*k + 6. Put g, -3, k in decreasing order.\nAnswer: k, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)\/(184\/60 + -3). Let s(o) = -o + 21. Let h be s(w). Factor -2*v**3 + v**3 + h*v**2 + 4*v**3 - v**3 + 4*v.\nAnswer: 2*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-35))\/((-1)\/(-10)). Suppose -4 = f*k + 4. Let p be (k - 2)\/(3\/(-6)). Solve -3*v + 7*v = 4*d + p, -5*d = 3*v + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650634586.4 rounded to the nearest 100000?\nAnswer: -1650600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -13*f**3 - f**2 - f + 1. Calculate h(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 12. Let d be n(11). Let m be d - 2\/(-1 - 1). Let b = 0.1 + 0.9. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (38 - 38)*(-3)\/(-9). Let b(i) = 5*i**2 - 9*i + 48. Let u(l) = l**2 - 2*l + 12. Let y(s) = 2*b(s) - 9*u(s). Give y(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447821695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1392554 >= -1392550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82052297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(1 + (-10)\/16). Let o(g) = 10*g - d + 16. Give o(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*o - 155*o + 33*o - 19089 = 0 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t + 450. Let i be k(0). Suppose 6*d + 5*u - i = 3*d, 3*u = 9. What is the highest common factor of 58 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**36\/f)\/f*f**(-16)\/f)\/(f*f**(5\/17)*f*f**(-16)))**(-2) assuming f is positive.\nAnswer: f**(-1112\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjtu when four letters picked without replacement from juuujjtvtjjjyjjvy.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 658 - 501. What are the prime factors of p?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 35 = 3*y, 3*t + 4 + 3 = -y. Suppose -5*s = 2*x + 29 + 5, -3*x - 56 = y*s. Let c be x\/6 + (-4)\/12. Sort c, 3, -2 in ascending order.\nAnswer: c, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1 + 2 + a - 5 + a. What is the units digit of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.24776 and 0.510245?\nAnswer: 0.262485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.4546 nanometers in kilometers?\nAnswer: 0.0000000008534546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -3, -1\/8, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -280445\/8 + 33906. Let h = -1152 - s. Let b = -38183 + 3360193\/88. What is the common denominator of b and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 56 = -4*i, -2*j = i - 4*j - 9. What is the remainder when (-792)\/(-16) + (-2)\/4 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 26*g**3 + 4*g**2 + 3*g + 1. Let p be f(-1). Let r = 62 + p. Suppose -4*j = 22 - r. What is the third biggest value in 3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 55389280 = -13647190. Let r be (0 - (-120)\/9)\/(4\/x). Suppose 3*d - r = 16319900. Round d to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12192 - 12187. Solve 2*y = -4*v + 18, 4*v - o = 2*v + 3*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-s + 2*s + 0*s + (4 - 5 + 2)*(-4*s + 3*s + 0*s) + s - s + 2*s - 11*s - 10*s + 14*s)*(1 - 1 + 1).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14760\/(-408) + 54\/306?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-70)*-25 - -4. What is the highest common factor of l and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z + 8*z**3 - 3*z + 15*z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473702 divided by -1854?\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 1277 - 1277. Let c(l) be the second derivative of -l**6\/60 + l**3\/3 - 3*l. Let z(d) be the second derivative of c(d). Calculate z(s(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from ununkupptununnutnnp.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7507 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 35007?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.28 (c) -481 (d) 8\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 874188508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/((i\/i**0)\/i))\/(i\/(i\/(i*i*((((((i\/(i*i\/i**(-3)))\/i)\/i*i)\/i*i*i)\/i)\/i*i)\/i*i)))*(i*i**(-2\/3)*i)**(-1\/11) assuming i is positive.\nAnswer: i**(194\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 338*t - 56461. Give c(167).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/3*u**3 - 10*u - 4 - 6*u**2. Let j(h) = 2*h**2. What is j(i(g))?\nAnswer: 8*g**2 - 96*g + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 794 - 959 - 1179 = -882 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3294.4 + -3294.5. What is the closest to -2\/3 in -1\/7, a, -12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21230 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -983039 + 4*r**2 + 983243 - 4*r**2 + 255*r**3 wrt r?\nAnswer: 765*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**5 - 195*u**4 + 2075*u**3 - 4245*u**2 - 7470*u + 21600 = 0.\nAnswer: -48, -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -2\/7, -0.04, 5, 2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -5*m**3\/6 - 3*m**2\/2 - 5*m. Let s(z) = -6*z - 4. What is -4*s(d) + 5*y(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -143?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3725627 minutes?\nAnswer: 22353762000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3942 is divided by 60.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -9, 6 in descending order.\nAnswer: 6, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**3*t**2*v - r**3*t**2 - r**3*v - 3*r**2*t**2 + 5*r**2 - 3*t**2*v wrt r.\nAnswer: -66*t**2*v - 6*t**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 21*k**2 - 3*k - 11. Let z(g) = g**3 + 10*g**2 - g - 5. Let p(i) = 4*w(i) - 9*z(i). Calculate p(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**3 - 32*b**2 - 24*b. Let y(z) = -z**3 + 8*z**2 + 6*z. Let v(r) = -6*f(r) - 26*y(r). Factor v(k).\nAnswer: -4*k*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583885?\nAnswer: 5, 31, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from {j: 6, w: 5, c: 2}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46c (base 14) to base 3.\nAnswer: -1012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -78*j**3 + 6*j**2 + 9*j + 65. Does 149 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.273, 4, -0.4, -62.2, 0.3, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12687950 to the nearest integer?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*n - 8082 = -23*n + 6 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173753 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(1 + 0 - 3)*(-934*i - 921*i - 49 + 1873*i) + 5 - 5 + 3*i to the form r + g*i and give r.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 506850671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a + 3, 3*y + 2*a + 41 = 0. Let r = 30 + y. Suppose 5*s = -n - r + 269, 5*s - 3*n - 230 = 0. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -20*o**3 - 592*o**2 - 4240*o + 1792 = 0.\nAnswer: -16, -14, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*p - 3*x, -4*p - 2*x - 4720 = 4714 - 9436 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44884871 to the power of 1\/2, to the nearest integer?\nAnswer: 6700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 224*w**2 - 602*w - 603. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -15 - (16\/3)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3330 + 10?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356 + -353. Factor 3*l**b - 2*l**2 - 531 + 47*l**2 - 198 + 81*l.\nAnswer: 3*(l - 3)*(l + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*q + 68746 - 137499 + 68753.\nAnswer: 1215*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -696 + 1473 + 8*x**4 - x - 733 + (-2*x**2 + 4*x**2 - x**2)*(0 + 2*x**2 + 0).\nAnswer: 10*x**4 - x + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 5:00 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7686 and 3711118?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*q - 153*q - 49 = 0. Let h(f) = -f**3 - 7*f**2 + 4. Calculate h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8, 0 = 3*f - 5*u - 0 - 8. What is the second derivative of -c**5 - 3*c**5 - f*c + 2*c**5 wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38373 (base 14) to base 10.\nAnswer: -137889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -20 - -4 - (256 - 252) - 25?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1995, -1989, -1983, -1977, -1971, -1965?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15274.34*-0.2.\nAnswer: 3054.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1603 + -1091. Let z = -389 + r. What are the prime factors of z?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 0.14, 4 in descending order.\nAnswer: 4, 0.14, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(12\/(-8) - -2). Let n(b) be the second derivative of b**2 - 1\/6*b**3 + 0 + d*b. What is the derivative of n(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -43. Solve -4*a + 0*a + 20 = w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13947 divided by -13128.\nAnswer: 4649\/4376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-4 - -10) + 9 - (-4 + (-13 - -6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.1 + -34. What is the closest to z in -2, 4, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 3*x**2 - 7*x + 2. Let j be ((-4)\/(-2))\/(6\/33). Let p = j + -6. What is the tens digit of g(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1) + 6 + -3 - -13. Let u = -10 + o. Suppose -12 = -7*p + u*p. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792195617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*n = n - 61, -104 = -3*j - 4*n. Suppose 2*v - 3*o - 234 = -v, -2*o = -2. Let t = v + j. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + -14 + 23 - (-30 + -7)) + -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 10:21 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -141847, -141923, -142003, -142087, -142175, -142267?\n\"Answer: -2*u**2 - 70*u - 141775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-24)*(-10)\/(-25))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (7 - 174\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43229 is divided by 5930?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/136*(1 + (-5)\/25)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r**2 + 21*r - 22. Let u(h) = 8*h**2 + 11*h - 10. Calculate 6*i(v) - 13*u(v).\nAnswer: -2*v**2 - 17*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1593, 1576, 1531, 1446, 1309, 1108, 831?\n\"Answer: -2*o**3 - 2*o**2 + 3*o + 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -4. What are the prime factors of (0 + -2)*(-38 - i)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:51 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {n: 3, e: 1, s: 1, x: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(3 + -5))\/(2\/3). Let m be (6 - i\/1)*10\/(-705). Which is the closest to -1? (a) m (b) -0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 5:45 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.067 (b) 2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 2262 = -392. Suppose -k*f = -f - 108540. What is f rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 2:33 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595344061 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 6*v - 165. Let c be (v - 20)*(-1 + 2 + -2). Suppose -87 - 283 = -c*o - 2*b, 5*o - 360 = -4*b. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17248400 rounded to the nearest 100000?\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -103.62, 0, -0.4 in decreasing order.\nAnswer: 0, -0.4, -103.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 minutes before 4:59 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 8151*s**2 + 2767582*s + 705. What is z(-355)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 91.531135025821 and -0.1.\nAnswer: 91.431135025821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5480 = -40*y - 5120. Let u = -6550 + 65623\/10. What is the common denominator of u and (-682)\/480 + 424\/y?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:28 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/20 - (-19)\/(-36). Let u be 1 + 3 + 6\/(-2). Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:06 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + f - 25 - 3 as g + v*f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31968, 31975, 31984, 31995, 32008?\n\"Answer: j**2 + 4*j + 31963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 117, 693, 1701, 3153, 5061, 7437, 10293?\n\"Answer: 2*f**3 + 204*f**2 - 50*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17344884 to the power of 1\/2, to the nearest integer?\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54644, -109272, -163900?\n\"Answer: -54628*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -73, 5, -13, -5, -4, 8 in ascending order.\nAnswer: -73, -13, -5, -4, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = z - 6, 3389*z - 15 = 3384*z + 5*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271606 is divided by 86?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 4. Let g be 1\/(y\/4 + 0). Let z = 40 + -32. Solve g*t = z, 2*d + 5*t - 45 = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 68. Suppose h = 7*y - 10 + 59. Let k(w) = 3 - 1 + 7*w**2 + 5 + w**3 + w. Calculate k(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 22 = -11*r + 16*r, -3*g - r = 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24102360367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 74219239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 0.02 (b) -1\/2 (c) -4 (d) -2126.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -4\/9, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219044 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104, -163, -212, -245, -256?\n\"Answer: q**3 - q**2 - 63*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 55, -34, -2, -0.3 in ascending order.\nAnswer: -34, -2, -0.3, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**3 + 14985*t**2 + 10976175*t - 378712125 = 0.\nAnswer: -1515, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/44)\/(12\/462*-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20833502 a multiple of 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 17, -10.\nAnswer: -10, -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4683.\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 + 2*j - 1. Let k be s(1). Let t(m) = 41*m**2 + 6*m + 41*m**2 + 9*m - 83*m**2 - 7 - 4*m - 16*m. Calculate t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -4*j. Let b be (1*8)\/2 + -2. Let t(x) = 187*x + 1869. Let r be t(-10). Put b, j, r in ascending order.\nAnswer: r, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, a: 1, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8 from -4635298273.\nAnswer: -4635298272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -19*t - 34. Calculate the remainder when 94 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, u: 2}. Give prob of picking 1 v and 2 u.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*x + 162*x + 666*x = 118*x + 173400 for x.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -293 + 294. Suppose -4*t = 4*q - 36, -4*q = 4*t - 7*q - o. Let i(f) = 4*f - 14. Calculate i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000206849 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**5\/60 - 5*n**4\/24 - n**3\/2 - 2*n**2 + 16*n - 133. Let v(c) be the second derivative of b(c). Give v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 10 = 0. Suppose -4*t = 5*g - 28, -p*t + 0*t - 2*g = -18. Solve -t*q + 6 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -6*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*8034\/927.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1255018 = 49*z - 95*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 5*t + 11. Let m be n(-8). Suppose m*p = 31*p + 32. Solve 4*c + 4 = -p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 37 = 5*z, y + 7 - 39 = -4*z. Suppose -q = -u + 4*q - 3, -2*q = 4*u + y. Put 1, 5, u in decreasing order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(3\/7 + 116\/(-140)). Suppose -v*s - h = -3*h, s - h = 0. Suppose -2*x - 3*d + 940 = 0, -x - 2*d + 0*d + 471 = s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-2) + (38 - 34). Suppose z*u - 5666 = 2209. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-264)\/(-63))\/(26\/(-91)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/4 + 1575*k**2\/4 - 44943*k\/2 + 291312 = 0 for k.\nAnswer: -578, 21, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5919*a + 94358. Give s(16).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1568 = 8*p - p. Suppose -3*w - 3*b - 2*b + 752 = 0, w - 5*b = p. Suppose -3*x - w = -661. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 7*w - 3*w)*(22*w**2 - w**2 + 14*w**2 - 9*w**2) to n*w**3 + p*w + t*w**2 + l and give n.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*l - 5*k, 57187*k - 57192*k = -5*l + 35 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200 - 332 - 461)*(0 - 6 + 4)*(2*i**4 + i**4 - 2*i**4) - i**4 + 2*i**4 - 2*i**4.\nAnswer: 1985*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -h - 5*n, 4*n = 78*h - 79*h - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447\/(-6)*(-1 + -3)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/67 + -459\/335. Let x = -1.928 + -0.072. Which is the nearest to 0.2? (a) n (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-5)*(16 - -4)\/(-2). Suppose -2*t - s = -4. Is (2\/(-4))\/(t\/(845 - 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-218)\/(-6))\/(1\/3). Let t = i + -73. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 5*z - 6*z - 1, -5 = 3*y + 5*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1192*g**2 - 2*g + 2. Let y(d) = 1238490*d**2 + 2079*d - 2079. Calculate -6237*l(c) - 6*y(c).\nAnswer: 3564*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -780*f - 17740 - 11900 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**3 - 2903 + 2903 + g.\nAnswer: 58*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -895.0401 + 895. Let w = 0.045 + p. What is w rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273730889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + g. Let f(s) = -7*s**2 + 5*s - 1. Suppose 10 = 5*w - 3*w. Let y(u) = w*a(u) - f(u). Find the first derivative of y(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 207193 = 3*l, -383270 = -5*q - 2*l + 652559. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.8 + -6. Let r = -0.1 + 0.07. Are j and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -22*y**4\/3 - 428*y**3\/9 + 8*y**2\/9 + 400*y\/3 = 0?\nAnswer: -6, -2, 0, 50\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39958.\nAnswer: 2, 19979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14964860 is divided by 268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-431760)\/(-1356960))\/((-14)\/(-24)*2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (57\/(-152))\/(-3 - (-525)\/(-4)). Is h at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302215, 604429, 906643?\nAnswer: 1208857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.715 + -62.315. Round m to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*5)\/(1*sqrt(3)*1))**2*-6.\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p**2 - 191*p - 15. Let o be d(16). What is the smallest common multiple of 28 and 26 - o*12\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29593123*x**3 - 9*x**2 - 651*x + 1132 wrt x.\nAnswer: -177558738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 339594.34 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*f + 8 = 0, 16*f = 20*f - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3987813?\nAnswer: 3, 661, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*-85\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 5*k + 7*k)*(-2 + 1 + 3)*(3 + 98 + 20) as b*k + i and give b.\nAnswer: 2662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1853 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.3, 1491?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*y + 6, 5*y + 1497 = 2*u + 1513 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 0.07, 5, -409, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 12 = 27. Let m(w) = -5*w**3 - 2*w**2 + 11*w + 17. List the prime factors of m(i).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5440793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is the square root of 261941424 to the nearest integer?\nAnswer: 16185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21286900 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4834 + 4839. Let q(y) = -4*y**2 - y + 1. Give q(r).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/209 in -2\/5, -211, 2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 10 (b) 688\/33 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, k: 2, z: 5}. Give prob of sequence zxz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83701*w*z**2 - 497*z**2 + 9*z - 7 wrt w?\nAnswer: 83701*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 97 = c - 2*l, 3*l = c - 87. Suppose -j + 51 = -c. What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to -0.49282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*z**3 + 191*z**3 - 96*z**3 + (-4*z**2 + 5*z**2 + z**2)*(2*z + 0 + 0).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/7))**45)**40 assuming z is positive.\nAnswer: z**(16200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -51558464?\nAnswer: 10311692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 567010580 to the nearest integer?\nAnswer: 23812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Let b(s) = -s**3 + s**2 + s + 54. Calculate the remainder when b(a) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 0*m + 5*m)*(-7 + m + 3 + 0) to the form g*m + a*m**2 + i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -17. Let g be (-78)\/a - (-28)\/(-70). Suppose 4*f + 29 = -35. Is f bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 2*f**2 - f. List the prime factors of b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 24. Let f(c) be the first derivative of -c**2 + 34. Give f(u(a)).\nAnswer: 2*a**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -680 - -683. Determine d, given that 25*d**2 + 45*d - d**2 + 89*d**3 - 86*d**f = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**2 - 9 + 15*l**2 + 17*l**2 + 22*l - 48*l**2. What is the tens digit of z(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 884, 452, -2580, -9514, -21652, -40296, -66748, -102310?\nAnswer: -148284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6080\/96*((-1008)\/(-15))\/4. Solve -6 = u*y - 1063*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -402*m**3 + m**2 + 39*m - 9. Is w(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 1. Let i(a) = -8*a**2 - 6. Suppose -13 = -5*p - 73. Suppose -14*k = -19 + 47. Calculate k*i(h) + p*f(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t. Let x(i) = -11*i**2 - 1. Calculate p(x(g)).\nAnswer: 66*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143\/(-7) + 21)\/((20\/(-50))\/(1015\/25)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.43848 - 15?\nAnswer: -1.56152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 7*g**2 + 2*g + 5. Suppose 7*m = m + 12. Suppose 0 = m*n + 6, -5*v - 2*n = -2*v - 15. Is h(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 22 = -54*u - 758 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*1) + sqrt(136) - sqrt(136))\/sqrt(8) + (2*sqrt(17)*-2)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1191454 and -7\/186.\nAnswer: 3574362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 + 2*g**3 + g**2\/2 - 6*g - 124. Find x, given that o(x) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -38*d + 39. Let h be o(1). Suppose -4*k = -3*y - 3, 3*k - 6 = -3*y + 12. Solve a = -y - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 1. Let a(i) = i**3 - i**2 - 3*i + 3. Let o be a(2). Calculate w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/57, -2163, 0.1, -4 in descending order.\nAnswer: 0.1, -2\/57, -4, -5, -2163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -1.377?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 0. Suppose -294 = -u + d*u. What is u rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 5*z - 4*b - 135, z - 19*b + 456 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1302482704 divided by -4\nAnswer: 325620676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025 (base 7) in base 4?\nAnswer: -23001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 7*c - 2. Let n(x) = 8*x**3 + 3*x + 6. Let g(m) = 7*m**3 + 2*m + 5. Let q(t) = -7*g(t) + 6*n(t). Calculate -4*d(i) - 7*q(i).\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1047 and -53\/57.\nAnswer: 19893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4356, 4490, 4642, 4824, 5048?\n\"Answer: 2*u**3 - 3*u**2 + 129*u + 4228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 951018695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.067 + 0.017. Let y = 0.05 + b. What is the fourth biggest value in 1\/6, 0.5, 4\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 0*q - 1\/3*q**3 + 1\/5*q**5 - 1\/4*q**4 + 1\/2*q**2 - 4. Suppose p(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.59 - 0.04. Let d = r - 0.35. Are -29 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7571, -15058, -22421, -29606, -36559, -43226, -49553?\nAnswer: -55486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587, 588, 589, 590, 591, 592?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006273557 to 7 dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 16) in base 10?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:35 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 814670 divided by -205?\nAnswer: -3974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.20033mm in kilometers?\nAnswer: 0.00000820033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1399 = 38*m + 1133. Solve m*f = 14*f + 42 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8261*s - 124*s**2 + 8261*s)*(1 + 6 - 1) to z + q*s**2 + p*s and give q.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 10. Let y be r(11). Let p be (2 - (-2)\/(-4)) + 1. Which is the nearest to -0.2? (a) y (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12694*n**4 - 11*n**2 + 11*n - 1248. Let r(l) = 4231*l**4 - 4*l**2 + 4*l - 418. Let q(i) = 4*j(i) - 11*r(i). Differentiate q(x) with respect to x.\nAnswer: 16940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmb when four letters picked without replacement from bbmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 379 = c, -2*d - 160 + 2023 = 5*c. Let j = -241 + c. Let o(i) = i**2 - 3*i**2 - j*i + 130*i. Let r(x) = -40*x. Give r(o(h)).\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 319, 305, 291?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 3*k - 5*d, -4*k + 2*d - 108 = 6*d. Let h = k + 64. Suppose a = -3*s - 0 + 5, 0 = 5*a + 3*s - h. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3 + 212*i**5 + 757 + 6912*i - 13826*i - 2*i**3 + 6916*i wrt i.\nAnswer: 4240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 + -128.067. Round i to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, o: 2}. What is prob of picking 1 o and 1 p?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -61, -624, -1185, -1744?\n\"Answer: f**2 - 566*f + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 2, j: 7, i: 3}. Give prob of picking 2 j and 1 u.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-5))\/4)\/(-3)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -86\/5. Let g = 10 - 14. What is the third biggest value in i, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 80.4. Let s = -4\/1167 + 1175\/2334. Which is the second biggest value? (a) 2\/7 (b) s (c) -0.1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100001101000011101 (base 2) in base 10?\nAnswer: 1972765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27719, 55450, 83181?\nAnswer: 110912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.9, -3, 0, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, -3, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -23*(0 - 2 - 1). Let n(i) = 69 - d + i. Let k(t) = t. Give n(k(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 2*u, 2*s + 4*u - 10 - 6 = 0. Suppose 20 = s*m - m. Calculate the highest common divisor of m and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/9 and -95\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6320 + -575?\nAnswer: 5967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153 by 2925.\nAnswer: -17\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 + 257*s + 17. Is c(41) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -53. Let c be ((-3196)\/(-1060) - 3)*m. Is c < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*-5*2. Suppose -2*z - 50 = -5*x + 2*z, -3*x = z - 13. Calculate the greatest common factor of g and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-320))\/((36\/400)\/(-9))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and -2.5?\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/32)\/((-7)\/(-84))*13\/39?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380279324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18301 is divided by 484.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5630 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.048 - 0.022. Let a = -2\/115 + -107\/460. Which is bigger: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + w + 1. Let f(h) = -9*h**2 + 8*h - 76. Determine -f(b) + 2*n(b).\nAnswer: b**2 - 6*b + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 5, -42, -129, -268?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 q, and 2 m when four letters picked without replacement from {i: 3, m: 2, g: 1, s: 1, p: 2, q: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32682529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148790, 148808, 148826, 148844, 148862, 148880?\n\"Answer: 18*q + 148772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let t = -56 + 56. Which is greater: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131561729, -131561727, -131561715, -131561687, -131561637, -131561559, -131561447?\nAnswer: -131561295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.05313 to 3 decimal places.\nAnswer: -1.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) -2\/3 (d) -8 (e) -0.1 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8155048723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -141. Let j = m + -20. Solve 3 = -j*b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrrrrrrr. What is prob of picking 2 r and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 2. Let q(k) = k**3 + 106*k**2 + 307*k - 208. Let p be q(-103). Is (-1067 + -20)*f\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*s**5 - 52*s**5 - 22*s**5 + (3*s**3 - 3*s**3 - 2*s**4)*(-s + 2 - 2) + 3*s**5 - 6*s**5 - 3*s**5.\nAnswer: -127*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4))\/((-117)\/195)*(-1)\/10*-68?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11\/5 (b) -0.4 (c) 6 (d) -1 (e) 0.5 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 129, 127, 125?\n\"Answer: -2*h + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from {v: 4, c: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 9*m - 15. Let w be s(-6). Suppose 4*a + 424 = 2*o, 292 + 350 = w*o - 3*a. Suppose -2*h = 2*h + o. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-1 - -1 - 4). Let c(p) be the second derivative of -p**3\/2 - p**2 + 2*p - 163. Give c(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.2898464 minutes?\nAnswer: 0.02149744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/2749 (b) 1\/62 (c) -4 (d) 9.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 8. Let a be 1376\/(-12) + 4\/x. What is a rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 42 + 44. Let k(v) = -11*v**2 + 31*v**b - 7*v**2. Let i(u) = -u. Give i(k(c)).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 74a?\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15585844733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 12*v + 4*u - 2, 3*v - 3*u - 12 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = -2. Suppose -3*p - 6 = 0, 0 = -4*f + b*f + 2*p + 4. Let z = -6 + 10. Solve z*q - 16 = -f*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:44 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3210846 by -138.\nAnswer: -23267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -808 (base 15) to base 4.\nAnswer: -130100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1484209 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.78 + 0.28. Let d = -113\/10 + 172\/15. Sort 2\/15, -2, d, f.\nAnswer: -2, f, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727649 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 983452624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i. Let u(a) = a. Let o(f) = -p(f) + 20*u(f). Let w(m) = 3*m**2. Calculate w(o(h)).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632 + 1387*y**3 - 435*y**3 + 635.\nAnswer: 952*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = 3*u - 2723, -2*u + 5*f = -1809. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 + 325.73251?\nAnswer: 81.73251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + 752?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 1 - 7. Suppose 5*m = b*w - 114, 3*w = -m - 8 - 4. Let l = m - -18. Let q(y) = y**2 + 6*y - 1. Give q(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 7*g**2 + 3*g**2)*(3*g + 3*g - 5*g) + g**3 - g**3 - g**3 + (-g**2 + 1 - 1)*(0*g - 2*g + 0*g) - g**3 - 2*g**2 + 2*g**2 - 2*g**3 + g**2 - g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9271 - -83435\/9. Let n = -3 - -1. Let c = n + 4. What is the closest to 1 in -2, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**3 - i**2 - 2*i + 3252. Let k be p(0). Calculate the greatest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 36 = -0*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 12*g**2 + 14. What is the units digit of r(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - n - 3*n + 1065019113*n**2 - 1065019114*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/12 - 7*j**3\/6 - 2*j**2 + 6*j. Determine a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(-2 + sqrt(1872)) + 2*(sqrt(1872) + -2)*6)**2.\nAnswer: -9408*sqrt(13) + 367696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 7:00 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w + 1\/4*w**2 + 8.\nAnswer: (w + 4)*(w + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 547*o**2 - 71*o + 843. Is l(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2. Let o(b) = -3*b - 5. Calculate o(k(j)).\nAnswer: 9*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1428197445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - 8. Let n be (130\/(-25))\/((-3)\/30). Let z = t + n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 0*v - 2*v - 2*v - 2*v + 3*v + (4 - 5 + 0)*(v + 0 + 0) + (1 - v - 1)*(-9 - 1 + 6).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b0c5 (base 13) to base 2.\nAnswer: -1100111010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(260)\/sqrt(5) + sqrt(52))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.2394505 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 - m**2. Let p(z) = -z**2 + 6*z - 6. Let h be p(4). Let n(r) = 0*r**2 - 1 - 3*r - r**2 + 5*r**2 - 5*r**h. Let u be n(-1). Give s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(76) + sqrt(76) + sqrt(76)) + sqrt(76)*1*3)\/(sqrt(28)\/(sqrt(14)\/sqrt(18))).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 3.1, 1.88?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -2, -3, 13, -1\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3ab8 - 22b2?\nAnswer: -61aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(-2)*n*n)*n*n*n*n*n**(1\/5))**18*((n**(-1)\/n*n)**(-2\/41))**36 assuming n is positive.\nAnswer: n**(12168\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*r + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44278544.\nAnswer: 2, 2767409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*a + 2*j - j, -j = -3*a + 5. Suppose 0*u + a*y - 16 = 5*u, 14 = -4*u + 3*y. Let v be (-4440)\/u*(-40)\/(-12). Round v to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-2\/7))**15)**21)**(-43) assuming k is positive.\nAnswer: k**(-23220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56881616?\nAnswer: 2, 11, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**1*u))\/u**(-2))**(-28\/9)\/((u*u*u**(2\/15)*u*u**(-6))\/(u**(-6)\/u*u*(u\/(u*u*u*u\/u**(2\/11)*u))\/u)) assuming u is positive.\nAnswer: u**(-5476\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-33)\/y**(-4))\/(y\/(y\/y**(2\/35))*y*y**(-1\/22)) assuming y is positive.\nAnswer: y**(-23109\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 10. Determine j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -208*u + 1114. What is the hundreds digit of h(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303787456?\nAnswer: 2, 131, 155509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*w = -4*r - 10, -2*w = 2*r - 10. Suppose 3*j - 37 = 2*j + 4*y, -r*y = -5*j + 167. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-2 + 0)*(-11)\/22). Let r be 1*(-3 + c - -3). Solve -4*v + r*v + 3 = t, -6 = -t + v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 13*j**2 - 14*j + 4. Let z be t(14). Suppose d + z*d - 400 = 0. Suppose 2*b = d - 10. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -0.5, -20, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 1*sqrt(68) - (6*(sqrt(17) + 1))**2.\nAnswer: -648 - 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268569 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7724 - 3862 + t**2 - 3862.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*r - 10, 5*m - 4*r + 6 = 8*m. Let y(v) = -23*v**2 - 16*v**m + 65*v**2 - 24*v**2. Let n(p) = 20*p**2. What is y(n(u))?\nAnswer: 800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.695372 weeks?\nAnswer: 37249.34976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose -5 = l + 3*t, -22 = -l + g*t - 3. Suppose -5*z = 3*o + 34, -o = 5*z - 0*z + 28. Which is the nearest to -0.1? (a) l (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by -91.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:10 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 21*i**2 - 9*i - 108. Let c be h(-21). Suppose -c*r + 80*r = -4. Solve 8 + 8 = r*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111.6 - -302.4. Sort -0.3, -0.5, u in descending order.\nAnswer: u, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136)*2 + sqrt(136)))\/(sqrt(72)\/(sqrt(9) - (-1*sqrt(9) - sqrt(9)))).\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056405 (base 11) in base 3?\nAnswer: -10111011011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 14*z + 162 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1612 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1203*i + 490. Let h be r(13). What is h rounded to the nearest one hundred?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -135*t + 804. Give g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201103332331 (base 4) to base 15.\nAnswer: -b7768a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*g + 31*g - 12*g + (-g + 5*g - 3*g)*(3 + 1 - 3) + (-2*g + 4*g - g)*(-2 - 2 + 3) + 3 - 3 - g.\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -438231467118319.\nAnswer: -438231467118318.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2104362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(4\/17)))\/(v*v**(-42))*v**(-2\/3)\/(v\/v**(-4)))**(-18) assuming v is positive.\nAnswer: v**(-10884\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21*g**2. Let t(m) = 7*m**2 - 184*m + 994. Calculate the remainder when t(6) is divided by d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - ((4 - (-31 - 7)) + 63)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4 + 23 + 2 - s to the form h*s + m and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-35))\/((-1)\/(-5)) + (-5148)\/702?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*t + 590*t - 197*t + t**2 - 199*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2*j**2 - 1. Let s(r) = 141*r**3 - 143*r**2 + 6. Let t(v) = -2*m(v) - s(v). Factor t(z).\nAnswer: -(z - 1)*(11*z - 2)*(13*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 119147 - -3d?\nAnswer: 119185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1638699, 3277411, 4916135, 6554877, 8193643?\n\"Answer: t**3 + 1638705*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590, 706, 816, 914, 994, 1050?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from xsxxhshhhfaasshh.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/4*((-1)\/7 + 20\/(-13 - 127))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxkllljkqhjjlkk. What is prob of picking 2 j, 1 h, and 1 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 3. Let t be i(8). Suppose 0 = 107*p - 103*p - 836. What is the highest common factor of t and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-1)\/x)\/(x*x\/x**(-1)))\/((x*x\/x**(6\/11))\/((x**13\/x)\/x)) assuming x is positive.\nAnswer: x**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q - 3*k - 15 = 0, -2*q - 5*k + 6 = 0. Suppose -11 = 5*l + c, -q*c - 1 = l + 4. What is the nearest to 0 in l, 3\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12289 = -707*q - 14458 - 21869 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -464, -393, -304, -203, -96?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10850)\/(-150)*(-39)\/(-91).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**3 + 4059*u**2 - 41997*u wrt u?\nAnswer: 18*u + 8118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 51 = -2*i - 3*m, -3*m = i + 27. Let b = i + 46. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -7*o - 63. What is the third biggest value in o, 1, -3\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0*p**3 - 1\/15*p**6 + 0 + 0*p**5 - 24*p - 57\/4*p**4 + 0*p**2 - 2\/21*p**7. Find the third derivative of g(m) wrt m.\nAnswer: -240*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*f**3 + 82*f**3 - 28*f**3)*(-2*f**2 - 10*f**2 + 2*f**2).\nAnswer: 1020*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -65. Solve t = 2*y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*-552365.\nAnswer: -93902.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-14)*-1 + 1. Suppose 20*s + 280 = 13*s. Let u = 201\/5 + s. Which is the closest to 0? (a) k (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 12*d - 8*d, -9 = -d + 4*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34890340?\nAnswer: 2, 5, 1744517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/10 - 608\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 6*t + 3*t + 2*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-45)*(-45)\/(-6)*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 at least 421\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9684 and 2184?\nAnswer: 1762488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -8)\/(2\/2). Suppose 30*a - 98 - 52 = 0. Sort i, 1, a in decreasing order.\nAnswer: i, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 12. Suppose 3 = -l, 0 = -3*n - 4*l - 281 - 934. Let d = 407 + n. Calculate the highest common divisor of m and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -362.35 - -85.05. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f - 1976 + 1906 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:31 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s + 3. Let y = 5 + s. Suppose -8*r**5 - 14*r**4 - 2 - 2*r + 2*r**y + 4*r**3 + 14*r**2 + 6*r + 0*r = 0. What is r?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44037351 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-24)\/(-9))\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1255 divided by 5.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 smaller than -223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.6 + -76. Suppose -228 = -4*x - 3*f, 0*f = -4*x - f + 236. Let p be (-6)\/105*x\/48. What is the closest to 1\/2 in p, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 5*s**8\/336 - s**7\/42 - s**6\/24 + s**5\/12 + s**2. What is w in z(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**3 + 24*h**3 - 46*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*i - 3942 = 0, t + 7906 = 5*t + i. Suppose h - t - 1537 = 5*j, -3*h + 10571 = j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/20 - -1\/10. What is the second smallest value in 5, t, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 33*x = -28*x + 141, -3*y + 2*x + 104 = 0. Calculate the least common multiple of y and 22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-483)\/6))\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/8118 and -49\/7380.\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 25.76?\nAnswer: -10.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34214777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:47 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*g - 4*h, -g - g + h = 0. Calculate the greatest common factor of 54 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -442, -444, -446, -448?\n\"Answer: -2*u - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 610, 616, 634, 670, 730, 820, 946, 1114?\n\"Answer: b**3 - b + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*((-47)\/(-2) + -1)*72828\/(-1785). Let r = 12 - -2. Suppose 4*k + r*k = v. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/48 and 3\/344.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -381 - 3*l**2 + 196 + l + 185 - 20*l**3 to the form x*l + w*l**2 + v + p*l**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123556 - 44970 = 2*n. Let m be 1\/6 + n\/(-6). Suppose 0 = -2*k - 756 - m. What is k rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3335 is divided by 787.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6750\/900 - (-2 - (1 - 12)). Put u, -418, 2\/9 in descending order.\nAnswer: 2\/9, u, -418","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-32)\/(-8))\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose 7 = 2*i + z. Find the second derivative of -2*y + i*y**3 - y**3 + y wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:33 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 16 + 2*w**3 + 1 - 14.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0 - 6 = 0. Suppose o*f + 3*f - 15 = 0. Let j(h) = -h**2 + f*h**2 + 0*h**2 - 11*h**2. Let t(y) = -2*y. What is t(j(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23.811 (b) -1\/22 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*12\/(-9). Let c be (0 - 6\/68)*4\/3. What is the second biggest value in m, 3, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*k + 5. Suppose 59 - 67 = -k*g. Solve 0 = -i + g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(100)*3)\/sqrt(5) + -4.\nAnswer: -4 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-2) - (-13)\/(-26). Suppose -65 = -n*o + 2*p - 0*p, -p - 49 = -4*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233 + 1?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -c8c1c6 (base 14) to base 11\nAnswer: -3920901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*h - 766 = -22 + 235. Let m = 1.7 - 0.3. What is the second smallest value in m, h, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1125, 1821, 2089, 1929?\n\"Answer: -214*v**2 + 1338*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v - 3*m + 72 = 0, -2*v + 2*m + 40 = 0. What is the remainder when 80 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550452 is divided by 217.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -149. Let i be 5\/2*y\/(-17350). Are i and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.138? (a) -0.2 (b) 4 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4101319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 477.956?\nAnswer: 477.956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11898*x**5 - 12*x**2 + 5*x + 63.\nAnswer: 713880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*p**1*(p*p*p**(-1\/2))\/(p\/(p*p**(1\/10)*p)*p))\/(p**(-2)\/p*((p*p**1\/p)\/p)\/p)**3 assuming p is positive.\nAnswer: p**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-137)\/54 - 5*14\/(-28))*-84.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9698, -19525, -29352, -39179, -49006, -58833?\n\"Answer: -9827*g + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 131. Which is the nearest to 1\/4? (a) o (b) -3 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118865.266 rounded to the nearest 10?\nAnswer: 1118870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1548\/8127*(-28)\/32\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1)**22*t\/t**(-2)*t*t\/(t**(-3\/5)\/t))**(-12\/13))**(-42) assuming t is positive.\nAnswer: t**(5544\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 52 + 4 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcc when three letters picked without replacement from {b: 5, j: 3, c: 3, h: 3, f: 4}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*l - 28*l**3 - 104*l + 95*l**3 + 65*l**3.\nAnswer: 132*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 18 + -28 - (8 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -20. Calculate the remainder when 113 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -310 - -308. What is the third biggest value in 50, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 - 101220220?\nAnswer: -101222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m - 17. Let a(o) = -3*o**2 - 3*o. Let i be a(-2). What is the tens digit of u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3250 + 5430. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**5\/24 + 3*m**3 + 5. Let p(c) be the third derivative of x(c). Let n(y) = 3*y. Determine p(n(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 - 3*(-3 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5 + 10*c**4 + 6*c**3 - 10*c**2 - 8*c = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*w = -3970 - 13120, -2*w = -5*z + 17105. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1025 + -629. Let m = 395.813 - b. Round m to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 1. Let f(p) = 7*p + 1. Let i = -11 + 7. Let b be 6 + -3 - i\/2. Calculate b*q(y) - 4*f(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 47443?\nAnswer: -47444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -133396.927 and 9867.\nAnswer: -123529.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135432116 by -189151.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 + 2. Let p(x) = -4*x**3 - 7*x**2 - 6*x + 18. Let v(h) = 5*o(h) - p(h). Calculate v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102*68\/(-6732)*-33.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + 19\/(-3))*-39 - 6. Calculate the greatest common factor of 98 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r - 2*n + 32 = 0, -3*r + 2*n = -48. Let x = -25 + 72. What is the remainder when x is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {r: 1, s: 1, c: 1, v: 3, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*j - 5*n, 15 = j - 4*n - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(18\/81*((-7938)\/56)\/(-21)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257248644.\nAnswer: 2, 3, 53, 67, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 3*h**2 - 2. Let c be j(3). Let g(r) be the third derivative of -19*r**6\/12 - r**5\/15 - 5*r**4\/24 - r**3\/6 + 13*r**2 - r. Is g(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.72112ml?\nAnswer: 0.05272112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1734452.074 to the nearest 100.\nAnswer: -1734500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - p - 3, -19505*p + 13 = q - 19508*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40847*v + 827*v + v**2 - 41674*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.17 and 173.\nAnswer: 173.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/((i\/(i**(3\/8)*i))\/i))**(-44)\/((i**(2\/5)\/(i*i\/((i\/(i**(-4)*i))\/i)*i))\/(i**(2\/11)*i**(-1\/4))) assuming i is positive.\nAnswer: i**(-32773\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/18)\/((-7)\/(14\/(-12))))\/((-1519)\/147).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 19. Let c(l) = 50*l**3 + 2*l**2 - 8*l - 4. Let m be c(z). What is m rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 13*d + 79 = 4*i, -3*i + 5*d = -81. Sort i, -6, 1 in descending order.\nAnswer: i, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -70. Suppose 3*f - 12 = 0, -k - 3*k = 3*f - q. Suppose 3*z - k*r - 117 = 0, -2*r + 81 - 15 = 2*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0 - 20. Let c = k + 8. Suppose c + 12 = -4*m. Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 5, c: 3, f: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/28 - (0 - 5\/5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 819*j + 3377 + 20374 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 12*r**2 - 25*r + 30. What is j(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/735 and 79\/49422?\nAnswer: 12108390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 - 8*w**3 + 24 + (137 - 12*w**2 - 137)*(1 + 2*w - 1).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -209. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 80 = -7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {p: 1, k: 4, e: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2187756\/5 + 437840. What is z in -w - 76\/5*z - 1\/5*z**2 = 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -4*k. What is the units digit of k\/6*-3 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/5 - 26*x**2\/5 - 44*x\/5 = 0.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 + (2 - 1) - (6 - 3) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 301606176 and 24?\nAnswer: 301606176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j = 20, -2*i + 4*j = 10. Suppose 0 = -i*h - 0*h + 102. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 21*a**3 - 9*a**3 - 10*a**3 + 2*a - 10.\nAnswer: 2*a**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 122*p**2 + 381*p + 744. Determine x(-125).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5462652 * 40\nAnswer: 218506080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and 116.11?\nAnswer: 116.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:19 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906*l - 4352 + 29527 + 1099 = 0 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 32*v - 1592. Let c be r(-27). Put 45, 4, c, -4 in ascending order.\nAnswer: -4, c, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a. Let y(r) = -r - 11. Let z be y(-7). Let m(k) = -k. Let n(w) = z*m(w) + 2*p(w). Let l(b) be the first derivative of b**3 - 2. Give l(n(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) 5 (b) -4 (c) 1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 - (-1 - 1). Suppose 5*f = 5*m + 45 + 5, -k*f = 3*m - 30. Let d(i) = -i**3 + 5*i**2 + 6*i - 1. Calculate the remainder when d(5) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = -3*x + 5*i - 65, -5*i - 367 = 2*x. Which is smaller: x or 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q**3 + 2*q**2 - 8. Suppose d + 3*h = 5*h - 1, -2*d = h - 8. Is 9 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) - 3\/12. Let x be 2\/(-4 - -2) + s. What is the remainder when 0 - (-36 - (0 - x)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.416102 * 12.5.\nAnswer: 5.201275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**8\/3360 + a**7\/560 - a**6\/720 - a**5\/80 + a**4\/24 - a**3 - 6*a**2. Let p(v) be the first derivative of d(v). Factor p(t).\nAnswer: -(t - 2)*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*f + 154*f + 112 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2 - 6962*b + 265760. Determine r(37).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -957\/2743 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.316137 (b) 64 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.742 to 0 dps.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522424 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -47. Let a(l) = 2*l**2 - 10*l + 7. What are the prime factors of a(k)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.5 + 239.5. Let j = -212.01 + r. Which is the nearest to -0.2? (a) j (b) -0.5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 61, -24, 26, 5.\nAnswer: -24, -1, 5, 13, 26, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -615*r + 4302. Let n be y(7). What is the smallest value in n, -6, 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2254 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46a + 132?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503549, 503548, 503547, 503546?\nAnswer: 503545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/3*(2250\/(-4))\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 51*g - 2896. Let d(z) = -9*z + 579. Calculate 11*d(n) + 2*k(n).\nAnswer: 3*n + 577","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38164*a**3*y**3 - 12*a**3*y**2 + 13*a**3 - 9*a**2*y**3 + a**2 - 5484*a*y + 63*y**3 wrt y.\nAnswer: 228984*a**3 - 54*a**2 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 3. Let c be r(3). Let q be 16 + (-1)\/6*c. Suppose z - 10 = -z. Solve -z*n - q = -3*t, -n + 0*n = -2*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 9*c**3 - 2*c**3 + (0*c**2 + 0*c**2 + 2*c**2)*(-2*c - c + c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.03, 2\/13, -5, 1\/6, 0.05, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 8 = 4*d, 7*d + 3*y = -345 + 354 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**2 - 8*t + 10. Suppose -5*x - 411 + 496 = 0. Let r(l) = 20*l**2 + 23*l - 29. Determine x*q(b) + 6*r(b).\nAnswer: b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -619907, -619752, -619495, -619136, -618675, -618112?\n\"Answer: 51*o**2 + 2*o - 619960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21990565 to the power of 1\/2, to the nearest integer?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*m - 208 with respect to m.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.94 - -58.939996667. What is p rounded to 7 decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1724, 1668, 1576, 1448, 1284, 1084?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -4*w**3 + 22*w + 11. Find the first derivative of c(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 486*w - 105018. Give b(214).\nAnswer: -1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 4 (c) -13230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.223 - 0.777. Put -0.1, 14, i, 2 in ascending order.\nAnswer: i, -0.1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5130 + -645. Let q = x + 20275. Round q to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let j(b) = b + 2*b - 126 + 129. Let m(l) = -2*j(l) - 9*y(l). Give m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102.9 in -2, 0.081, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/117*(-4)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -57\/5 (c) 2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.42 - 37. Let u = -0.12 + v. Which is the closest to 1? (a) -3\/4 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**2\/4 + 1059*u\/4 + 801 = 0.\nAnswer: -3, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*m = 5*m + 31, 2*m = 5*z + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -171, -3808, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 3*p**5 - p**2 - 2*p**5 + (1 + 2 - 5)*(4*p**5 + 8 - 8) + 4*p**5 + p**5 - 2*p**5.\nAnswer: -4*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -74?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7746 + -7728. Suppose 0 = -5*a - 5*m + 398 + 947, -3*a = -m - 811. Suppose i = 4*i - a. Calculate the greatest common divisor of j and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 + -5*4\/(-40)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 15*o + 48.\nAnswer: -(o - 3)*(o + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.4 to the nearest integer.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18615736 and 6.\nAnswer: 55847208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3818598 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29965 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 562, 831, 1092, 1345?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 331*a**3 + 74 - 72 - 4*a + 66*a**3 as n*a**2 + s*a**3 + g*a + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1639 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7005 and 0.3373.\nAnswer: 0.57357865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.24 + -0.04. Which is the second biggest value? (a) k (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 13 + -11 + (-16 - -16) + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 5*u - 10*u + 6*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21267112 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.03 + -0.93. Which is the nearest to q? (a) 0 (b) 1\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**7\/5040 - w**6\/480 - w**5\/120 - w**4\/24 + 6*w**2. Let b(n) be the second derivative of r(n). Factor b(m).\nAnswer: -(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m - 6*m - 12*m)*(0 - 2 + 1)*(14*m + 33 - 33).\nAnswer: 364*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -27\/2, 2\/3, 57\/8, -0.2, 3\/7, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 3342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 9, a: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p, -4*j - 40*p = -45*p - 10373. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 16 - 16. Calculate the common denominator of 519\/(-288)*a + -4 and 70\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(4\/5))\/j)**(-35)*j**(-1\/5)\/j**(-1\/21) assuming j is positive.\nAnswer: j**(2924\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 6. Let p be q(-3). Suppose 6*g + p + 12 = 0. Let n(i) = 3*i**2 - 3 - 4*i - 7*i**2 + 3*i**2. Determine n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 3.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27768 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: Suppose 42*u - 500 = 17*u. Suppose 6*i + 924 = u*i. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 10*n + 11. Let w be (6\/2)\/(8\/24). What is the units digit of o(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 641, 2341, 5665, 11159, 19369?\n\"Answer: 91*l**3 - 7*l**2 + 6*l - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3061844*f**3*v + 4*f**2*v - 2*f**2 - 51*f*v + 1540*v + 1 wrt f?\nAnswer: 18371064*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -150. Calculate the remainder when 1\/(-1 - -2) + d is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*p + 4, -p + 2*x - 5 = -4*p. Let o(u) = -u + 5. Let d be o(p). Solve -1 + 3*m + d*m + 0*m**3 + m**2 + m**3 - 6*m = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 416?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118299968 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 52 = -4*g. Let a = -1 + 5. Suppose y + 15 = a*j, -y = y - 2*j. Solve -5*k - g = -3*z, k + 10 = y*z - 4*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510 - 180 - 332 - 55*v**3.\nAnswer: -55*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 - (-51)\/(1479\/2581).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 9*z. Let q be d(10). Calculate the greatest common factor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 9*n + 12. Let z(u) = -u**3 - 16*u**2 - 17*u - 22. Let p be z(-15). Let o be l(p). Suppose o + 5 = 3*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 2*z**4 + 2*z**4 + (-75*z + 15*z**2 + 75*z)*(0*z**2 + 3*z**2 - z**2).\nAnswer: 31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 2. Let s be f(0). Let t(r) = 12500*r. Let z be t(s). Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:14 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evkkekavkvfavkkkf. What is prob of sequence vfk?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + h = 15, 2*n - 3*h + 6*h + 3 = 0. Let z = 6 + n. Suppose 3*v - 75 = -z*v. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let x(c) = -c**3 - 5*c**2 - 6*c - 2. Let i be x(-4). Differentiate v + 0*z - z - z - i with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1862 and 15162.\nAnswer: 106134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.09 (b) 4 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(1\/8)*u)\/((u\/((u*u**(-7))\/u))\/u))**(-7\/5))**29 assuming u is positive.\nAnswer: u**(6293\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:33 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 3*y)*(414 - 414 - 12*y).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3\/4 (b) -2\/7171 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 815658188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 + 2*b**2 - 5*b + 3. Is 7 a factor of m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/21 + 218\/14. Let f(j) = -j**2 + 22*j - 9. What is the remainder when f(w) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 251 + -3?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/5 - 19*s**3 - 303*s**2 + 4571*s + 199234\/5 = 0 for s.\nAnswer: -19, -7, 14, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*r + 48 = 0, v + 2768 = -4*r + 2780 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1514*o - 77214. What is q(51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:12 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:59 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - v - 37 = 0, -2*y = -3*y + 4*v - 6. Which is bigger: 13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 94*y**2 - 17*y**2 + 2*y**2. Is n(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 741*g + 363?\nAnswer: 741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-1))))**(-30\/13)\/(q**(1\/9))**41 assuming q is positive.\nAnswer: q**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36455789*g**3*q**3 - 25413*g**3 - 494*q**2 wrt q?\nAnswer: 218734734*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 10 + -7 + 17. Solve r + 6 = -j, j - w = 3*r + 6*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**2. Let l(b) = 2*b**2 - 7. Calculate f(l(w)).\nAnswer: -24*w**4 + 168*w**2 - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 0, 5, 1, -3.\nAnswer: -3, 0, 1, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t**2 + 216*t + 337. What is y(-12)?\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-45 - (-7 - 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1861851 by -7.\nAnswer: -1861851\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (756 - 378 + 4*j - 357)*(7 + 0 + 10) to the form o*j + g and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36399440 divided by -47894.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-1 + -4.\nAnswer: -3*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8718952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2*l**2 - 2*l**2)*(-471 - 349 - 590 + 410).\nAnswer: -1000*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 549*r - 544*r - 18 = 0, -q - r = -6. Calculate the greatest common divisor of 316 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3118920, -6237865, -9356810, -12475755, -15594700, -18713645?\n\"Answer: -3118945*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100011010000110001000 (base 2) to base 7\nAnswer: -12551462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-34)\/3)\/((-9)\/(-27)). Let i = o + 56. Suppose 0 = i*n - 17*n - 17165. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37792 + -37791. What is the closest to f in -0.7, -3, -5, -42?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*n + 29*n - 2. Factor -2*y + 12*y**2 - 6*y**2 + n - 2.\nAnswer: 2*y*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47100\/(-7536))\/((-1)\/24*5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4868940 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0987 + -0.0043. Round a to three decimal places.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1290 and 12823374?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 57.9. What is the closest to y in 5, -4\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -845 - -940. What is the highest common factor of d and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27843723839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45, 32, 17, 0?\n\"Answer: -i**2 - 10*i + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-3)\/(-16) + (-29 - -27).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235675702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 3. Let h(l) = l + 0*l - 18 + 17. What is g(s) + 5*h(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4 + 39120*t**3 - 2221128*t**2 + 41679792*t - 257270580 = 0.\nAnswer: 15, 21, 9723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 179, 210, 257, 320, 399, 494?\n\"Answer: 8*k**2 + 7*k + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 154523394?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 26*v - 34. Calculate the greatest common factor of v and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 213888625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let u(s) = -2738*s**2 + 2*s - 28. Determine u(o(y)).\nAnswer: -10952*y**2 + 4*y - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 80083076?\nAnswer: -640664608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 3*v**2 + 0*v**2)*(4 - 5 - 5) + v**2 + 5 - 20 + 11 - 2*v.\nAnswer: 7*v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y - 18 = 0. Suppose -4*j + y*j = -4*g + 128, -g = -5*j - 32. Calculate the remainder when 154 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*r - 205*r - 1043 = 61*r + 525 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6468844.\nAnswer: 2, 1617211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:35 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 132. Solve 0 = -y*q + 7 + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2101000222102?\nAnswer: -2101000222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 + (3 + 2 - 4)*(2 + 4 - 4) + 1 + 0 + 0)*(6*s + 47*s - 10*s).\nAnswer: 43*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 17. Solve 1 = -4*b - y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -23*i - 51. Let d be t(-3). Suppose -32 = -d*f + 40. What is the third smallest value in f, 2, 0.1, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4252647 divided by -87?\nAnswer: 48881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.0179, -2\/11 in decreasing order.\nAnswer: 0.3, 0.0179, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141968*q - 1369906 wrt q.\nAnswer: -141968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19*9)\/(-1*(486\/(-6))\/27).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1144031?\nAnswer: -1144032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 - 90*a + 8179. Let z(h) = -h**2 - 2*h - 38. Let q(m) = i(m) - 3*z(m). What is the first derivative of q(v) wrt v?\nAnswer: -2*v - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1373101737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2137 + -1?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.217 - -37.217. Which is the second smallest value? (a) -12 (b) -1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345365890?\nAnswer: 2, 5, 661, 52249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5600760 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32395 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**10)**10\/((((x*x**0)\/x)\/x*x*x)**(-13\/2)\/(x**5*x**(1\/6))) assuming x is positive.\nAnswer: x**(335\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 25*q - 4. Let b be -1 + 1 + -1*(7 + -10). What is the remainder when x(b) is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 742*h - 126492.\nAnswer: 2*(h - 498)*(h + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 + 66438*a**3 - 551717760*a**2 - 551784200*a.\nAnswer: -2*a*(a - 16610)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:50 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 4. Let u(x) = -x - 3. Let q(f) = 4*c(f) - 3*u(f). What is q(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2*z**3\/3 - 27. Let o(b) = -61*b. Give o(c(a)).\nAnswer: -122*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -88, -226, -426, -688, -1012, -1398?\n\"Answer: -31*b**2 + 17*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0 = 12, -3*s = 2*n. Let z be ((s - 1)\/3)\/3. What is the closest to 2 in 2\/7, z, 1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 918184. Let a(u) = -2*u**2. Calculate h(a(d)).\nAnswer: -12*d**4 + 918184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 11. Let y be d(8). Let m(z) = -z - 1. Let r(n) = 4*n + 15. Let a(t) = y*m(t) + r(t). List the prime factors of a(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, -54, 12876, 0 in decreasing order.\nAnswer: 12876, 4, 1, 0, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1944 + -11651\/6. Let n(u) be the third derivative of k*u**4 - 8\/3*u**3 + 7\/30*u**5 + 0*u - 15*u**2 + 0. Determine a, given that n(a) = 0.\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1016 + -955 - (-284)\/(-2)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/196*-21 - (-5 + -1). Let q(t) be the first derivative of 11 + 10\/3*t**3 - 10*t**2 + y*t. What is the second derivative of q(o) wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:57 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(44\/55*(-12)\/(576\/(-30))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2147 = -5*y + 2*i, -3*i = 8*y - 4*y + 1736. Let m = y - -748. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.1 in -5, -2\/35, -2, 5, -1\/33, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 19726285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58458643.6829 + 2?\nAnswer: 58458645.6829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4141 - 2155?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*t**4 + 10*t**3 - 2*t - 35*t**4 + 2*t**2 - 34*t**4 as q*t**2 + i + v*t**4 + z*t + s*t**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 51 + 85 = 15*h. Let p be ((-1)\/(-2))\/(1\/2). Let s be p\/(1\/12) + 2. Solve 4*n - 3*q = 2*q + h, 5*q = 3*n - s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 + 8 - 35) - (24 + -16)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 164b + 82c?\nAnswer: 217a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27518 + -26901. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -2*r + 60. Suppose 8*s = 489 - 457. Let a(v) = -v**3 + v**2 + v + 2. Let m be a(0). Solve -p = 4*o + 9, r*p + m = s*o - 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/35)*t\/(t\/(t\/t**(1\/2))) assuming t is positive.\nAnswer: t**(33\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:54 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -25. What is the greatest common divisor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 1. Let t(u) = -u**2 - 13*u + 0*u - 8*u**2 - 4*u**2 + 13. Let l(d) = 13*s(d) + t(d). Let o(i) = 2*i. Calculate o(l(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 528107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 399, 1132, 2315, 3948, 6031?\n\"Answer: 225*l**2 + 58*l + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -7\/60*t**5 - 5\/336*t**8 + 0*t**6 + 0*t**7 + 4*t**2 + 0*t**4 + 0 + 0*t**3 + 0*t. What is the third derivative of p(q) wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.8384888 + -5.4485105. Let s = f - 2.39. Round s to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 13, 71, -5, 35 in descending order.\nAnswer: 71, 35, 13, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -4. Let n = -123 - -111. Let m = f - n. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0123026 to four dps.\nAnswer: 0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 294781474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 11.959?\nAnswer: 490.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 115955*t\/2 - 3596527.\nAnswer: (t - 116017)*(t + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144 - 924*d - 922*d + 1847*d)*(-4 - 7 + 1).\nAnswer: -10*d - 1440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/4 + 947*i**3\/4 - 93331*i**2\/4 - 947*i\/4 + 46665\/2 = 0. Calculate i.\nAnswer: -1037, -1, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 256\/120*-3*20\/(-8). What is the greatest common divisor of h and 8656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 2292*p**2 - 440055*p + 870966.\nAnswer: -3*(p - 381)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46991 and -4.7?\nAnswer: 220857.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -245 - -147. Let g = y - -239\/2. Find the common denominator of 143\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284201276 a multiple of 908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*f - 59 = 0, -5*d = f - 1560 + 1440 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 561 + 66837?\nAnswer: 67508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a - 113. Let d be g(-18). Let z(c) = -c**2 - 8*c - 7. Calculate z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17398.\nAnswer: 2, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391036*l**2 - 195535*l**2 - 195501*l**2 - 574*l**3.\nAnswer: -574*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 6*i + i)*(51*i + 30*i - 4*i).\nAnswer: 462*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 4\/2*(8 + (3 - 6)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3407 is divided by 1128?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-5)))\/((w*w**(-2\/25))\/w)*w**(-2\/15)\/w**(-3))\/((w\/w**4*w**5)\/(w*w*w**0)**(2\/7)) assuming w is positive.\nAnswer: w**(3422\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1434*w**2 + 155*w**3 + 1434*w**2 - 152*w**3 - w + w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0 - 1\/10*f**5 + 0*f**3 + 0*f**4 + 4*f**2 + 0*f. Let z(s) = s**2. What is y(z(l))?\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 2. Let l(s) = -s**2 + s + 1. Let c(y) = d(y) - 3*l(y). Let b be c(-4). Let u = b - 23. What is the highest common divisor of 128 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1319024 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - 12.6. Let d = -1937628434 - -1937628448.99999957. Let n = a + d. What is n rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11103 (base 4) in base 10?\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302*-580279.\nAnswer: -175244258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) 0.1 (c) 192.3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*m + 17*m. Sort -8, m, 1, 5.\nAnswer: -8, m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-12 + 1 + 13 - -13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2\/19*v**3 + 30\/19*v - 16\/19*v**2 + 0 = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 27728*n**2 + 253*n + 504. Let k be z(-2). What is k rounded to the nearest 1000?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57149121*g**3 - g - 13458302 wrt g.\nAnswer: 342894726*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0 - 11\/60*r**5 - 1\/120*r**6 + 0*r - 61*r**2 + 1\/24*r**4 + 11\/6*r**3. What is o(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 83 = -7. Let q = r - -53. Suppose 3 = 3*l + q. Let u(m) = 5*m**3 - 4*m**2 - 2*m + 4. Let k(o) = -o**3 + o**2 + o - 1. Calculate l*k(c) - u(c).\nAnswer: -c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + 3\/2. Sort -0.06, 5, -3\/7, n in decreasing order.\nAnswer: 5, n, -0.06, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 48*h + 242. Let d be z(-5). Solve -6 = 2*s, 0*x + 4*x + d*s = -22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -201*q**5\/5 + 186*q**2 - 5*q - 59. Find the first derivative of v(o) wrt o.\nAnswer: -2412*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52412 - -25542?\nAnswer: 100154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 8772920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/44)\/((-10)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3 + 18*h**3 + 3 + 3*h - 2*h - 15*h**2 + 1 - 24*h**3. Let a(z) = -7*z**3 - 17*z**2 + z. Let s(w) = 5*a(w) - 6*n(w). Determine s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5763646129 to the power of 1\/5, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -179265*k**4 + 224747?\nAnswer: -717060*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83606202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + d98b?\nAnswer: d9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = -3*a + a, 5*a + 3*n = 10. Sort -4, -2, a, 5.\nAnswer: -4, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.12508 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22265 divided by 4.\nAnswer: -22265\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 10*c - 19. Let m be b(-7). Suppose -m*r = -4*r + 728. List the prime factors of r.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28921198 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12507, 12508, 12501, 12480, 12439, 12372?\n\"Answer: -k**3 + 2*k**2 + 2*k + 12504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 8:16 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5128.9584 rounded to 0 dps?\nAnswer: -5129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -96571.\nAnswer: 7\/96571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3552 and 352.\nAnswer: 39072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*a - 10773*a**2 + 1 - 56*a.\nAnswer: -10773*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2951*u + 109186. Give m(37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*15\/1620)\/((-4)\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {g: 2, w: 6, h: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3 - (-6)\/(-3). Let q = j - 0. Let o(l) = -2*l**3 - 2 - q + 3 + l**3 - 2*l**2. What is o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10294272 and 142976.\nAnswer: 10294272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/175436242 and -33\/14?\nAnswer: 1228053694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2487252558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (905 - 932 + 671 - t + 1710)*(2*t**3 + 0*t**3 + 0*t**3) as i*t**3 + q*t + p*t**4 + h + x*t**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14498030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -ed7ab4?\nAnswer: -ed7ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - (-3)\/18. Let a = -3.1 + 0.1. Let d = -3.1 - a. Sort h, -2, d in descending order.\nAnswer: d, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9396529 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 q when four letters picked without replacement from {k: 3, q: 2, y: 10}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -748 (b) -1\/6 (c) 2\/3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556167160 to the power of 1\/2, to the nearest integer?\nAnswer: 23583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/1025)\/((5 + 1)\/3). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -4461 + 8708. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29568247 to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-65652)\/(-16)*(-11)\/66*-8.\nAnswer: 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:22 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534587552 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.084 - 0.096. What is the biggest value in f, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/6 - 47*j**3\/6 - 316*j**2\/3 - 920*j\/3 = 0. Calculate j.\nAnswer: -23, -20, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 525 + -389. Let m = 135.14 - g. Round m to 2 dps.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 3*y + 2*y**2 - 1\/3*y**3 + 2. What is the remainder when 5 is divided by a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17780c (base 14) to base 8\nAnswer: 3120204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*f**2 - 153*f**2 + 22 + 31*f**2 - 22)*(1121 + 2*f**3 - 1121).\nAnswer: -534*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 1. Let c be n(2). Let q(h) = h + 7. Let r(d) = -6*d - 34. Let y(o) = 22*q(o) + 4*r(o). Let w be y(10). Put c, 5, w in ascending order.\nAnswer: c, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 24*z**2. Let a(k) = 52*k**2 + 219*k. Determine a(q(y)).\nAnswer: 29952*y**4 + 5256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-6)\/g))\/g**(-4\/9))\/(g**(-1\/5)\/(g\/g**(-6))))\/(g\/g**2*g**(-1)\/g*(g**(1\/3))**43) assuming g is positive.\nAnswer: g**(194\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -28, -6, 36, 104, 204?\n\"Answer: x**3 + x**2 - 2*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90555*j*r + 5*j + 5655893*r wrt j.\nAnswer: -90555*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.8. Let s = 2.5 + -2.2. What is the nearest to n in -0.5, 3, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - 76\/(-84)) + 3665800\/420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -101000010000001?\nAnswer: -101000001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/20 + 46166*w**2. Let q(z) = z - 1. Let s(b) = 10*b - 5. Let a(d) = 5*q(d) - s(d). What is a(y(k))?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232 or 1630\/7?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l - 13. Let n(c) = 12*c - 28. Let h(p) = -8*p + 19. Let q(r) = -7*h(r) - 5*n(r). Let a(s) = -3*f(s) - 7*q(s). Give a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*j - 9 = 0, 3*u + j + 201256592 = 201256616 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*m - 81344 = 94*m + 86*m. What is the greatest common divisor of 124 and m?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2799 or 1?\nAnswer: 2\/2799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4, -2*c = -4*y - y - 29. Solve j + c = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**11)\/v)\/v)\/(v*v*v*v**14))\/((v*v*v**(-7\/9))\/v)**(-23) assuming v is positive.\nAnswer: v**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32940650*c*k - 186330483*c - 2*k wrt k?\nAnswer: 32940650*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*a*f**3 + 2*a*f*m - a*m + a - 2*f**5 - 4*f**2*m + f*m wrt f.\nAnswer: -246*a*f - 40*f**3 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 n when three letters picked without replacement from nkmmmmkmmmnmmmmmmk.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y = 52*y + 54. List the prime factors of y\/(-8) + (-16332)\/(-32).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 1, b: 2, n: 10, m: 1, y: 2}. Give prob of picking 1 w, 1 n, 1 i, and 1 m.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**5 + 0*y**3 + (4*y**2 - y**2 + 5*y**2)*(11*y**3 - 2*y**3 + 8*y**3).\nAnswer: 137*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257387.\nAnswer: 11, 163, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 12*x**2 - 2*x - 13. Determine f(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(91) + -3*sqrt(91)) - 1*sqrt(91)*-2)\/((-3*sqrt(896))\/(((-2*sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(9))))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -3*a - 0*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/(-650) + (-4)\/26. Let g be 0 - (12 + -7) - -9. What is the smallest value in g, -4\/11, t?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88 - 40 - 226)*(0*a + 0*a + a) to the form k + p*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10278.\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.164989 seconds in hours?\nAnswer: 0.0097680525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b*b*b**7\/b*b)*b))\/b)\/(b*b\/(b**(2\/13)\/b)))\/(((b*b**(-2\/7))\/b)\/((b*b\/b**(3\/7))\/b)) assuming b is positive.\nAnswer: b**(547\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49034975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*r + 14. Let u be 0 - (-5)\/(r + 6). Let m be u\/(-8)*(10 + 5 + -9). What is the second smallest value in 0.1, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 124\/28 - 244\/(-427).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than or equal to 33\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1745650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - 13)*5\/(-2). Suppose 0*t - 4*t + b*u + 15 = 0, -30 = -5*t - 5*u. Find the third derivative of -6*p**3 - 2*p**2 + 5*p**2 + 6*p**3 + 2*p**t wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13954 + 13823.01. Round a to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k = 10*k - 714. Let p(w) = -4*w**2 + 43*w + 45. Let y(b) = -b**2 + 11*b + 11. Let m(s) = -2*p(s) + 9*y(s). What is m(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -6 + 50 - 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3785, 3786, 3787, 3788?\n\"Answer: v + 3784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000211258 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-3) + 3\/9. Is (-128)\/k - 3\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/15)\/(a*a\/(a*a**(-9)\/a*a*a*a)))**(-11\/3)\/((a*a**(4\/3)\/a)\/a*a*a**10*a)**15 assuming a is positive.\nAnswer: a**(-7016\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/16 and 173\/5545254?\nAnswer: 44362032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**2 + 1. Let u be h(1). Let l(s) = -s**2 + 14*s - 11. Let a be l(u). Let o = -28 + 36. Solve 2*j - o = a*f, 5*j - 2*f = -3*f + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= -484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)\/y*y)\/y**(-7\/5))**(-26) assuming y is positive.\nAnswer: y**(-247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1782584 (b) 0.5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408437 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Let y be -63 + 0 + l - 2. What is y rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1248, -1174, -1042, -834, -532, -118?\n\"Answer: 3*n**3 + 11*n**2 + 20*n - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 2*p - 1. Let h be d(1). Suppose -3*a - z - 3*z = -37, 0 = 4*a - z - 43. Suppose 0 = i - l + 6*l + 17, -5*i - l + a = 0. Is i smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 10, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-1\/3)))\/(k\/k**(3\/2))*(k\/(k**2*k)*k*k)**(-1\/6) assuming k is positive.\nAnswer: k**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 1277, 2876, 5113?\nAnswer: 7988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 6. What is v(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-2)*2142\/3570?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10211410 + -1?\nAnswer: -10211411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewe when three letters picked without replacement from kweeekekke?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3681*m**3 + 4651 wrt m?\nAnswer: -11043*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - 14. Let p be m(-4). Suppose -3*l - w = 2*w, 5*l + p*w = 3. Calculate the lowest common multiple of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-8))\/(-5)*(-1352)\/3380?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3\/9 + 346*t**2 + 100648*t\/9 + 32512\/3 = 0.\nAnswer: -1524, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 600\/259 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1937*k - 201455. Determine h(104).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5831718973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/7 - 5310*v\/7 - 5308\/7 = 0.\nAnswer: -2654, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/136 and 57\/2125?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*t + 6660 = 28*t. What is the tens digit of 2456\/3 - 518\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9 - -6) + 2 + (-19)\/(-16) and -7\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320276 and 1255.\nAnswer: 1601380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 198700934 divided by -3\nAnswer: -198700934\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -3*f**5\/10 - f**4\/12 - f**3\/3 - 4*f**2 + f. Let z = -14084 + 14082. List the prime factors of j(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 3*d**2 - 3*d + 3. Let w(r) be the second derivative of r**4\/12 - r**3\/6 + r**2\/2 - 12*r. Give -2*g(b) + 6*w(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 + 3 = 0. Suppose -27 - 98 = -v*d. What is the remainder when 46 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**5\/60 - u**3\/2 - 5*u**2. Let k be y(0). Let a be (-20)\/(-6)*(k + 6). Solve -6 = s + 2*z, 0 = -5*z - a - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 18 = s. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30625 - -68137. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let u(j) = -5*j - 10*j + 13*j - 4*j. Calculate t(u(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23161452?\nAnswer: 2, 3, 491, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 44105045*-5\nAnswer: -220525225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*k + 23 = 2, -2*u - 4*k = 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1844 take away 624?\nAnswer: -2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l**2 - 7*l. Let z(j) = 7*j**3 + 51*j**2 - 42*j - 32. What is 6*v(s) - z(s)?\nAnswer: -s**3 - 57*s**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/3 + 8*p**4\/3 + 7*p**3 - 8*p**2\/3 - 20*p\/3 = 0.\nAnswer: -2, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*c**5 + 2*c - 8 wrt c?\nAnswer: 1400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 152*l**2 - 482*l + 632. Give z(79).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/24 (b) 0 (c) -3 (d) 0.6 (e) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - a)*(4 - 4 - a) + 5*a**2 - 2*a**2 + 0*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*((-187821)\/15 + 12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10470185, -10470184, -10470183?\n\"Answer: i - 10470186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 6. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6885 is divided by 193.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*w + 3, p + 4*w - 12 - 19 = 0. Let o = -31 + p. Sort 2, 4, o, -4.\nAnswer: o, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 368*d**2 - 132*d**2 + 255*d**2 + 105*d**2 to c*d + o + z*d**2 and give z.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 5*j)*(-2 - 2 + 5)*(2 - 2 - 2).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6462709 is divided by 5053.\nAnswer: 4975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*w - 380 = 0, -6691*w - 6 = -6694*w - 0 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 2331.\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4488 (base 9) to base 2.\nAnswer: 110011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289\/202 greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 34684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 21138759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4375179*y**3 + 6*y**2 + 591*y + 28 wrt y?\nAnswer: -26251074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23441.11738 + -3?\nAnswer: -23444.11738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193.3 + -193.2. Let g = -0.4 + -0.1. Which is the closest to m? (a) 0.5 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 12. Suppose -h - l = 0, 0 = -5*h - 4*l + 3*l. Suppose 4*p = -3*i - 4, h*i = 4*p - 4*i - 24. Calculate the remainder when j is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 348*j - 345.\nAnswer: -3*(j + 1)*(j + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*q**2 - 89*q**2 - 32*q**2 - 579*q**2 - 1244*q**2.\nAnswer: -2233*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*s**2 + 2*c**2*s + 3*c**2 - 3*c*s**4 + 111*c*s**3 - 124*c*s - 2*c wrt s.\nAnswer: 4*c**2 - 36*c*s**2 + 666*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8*u - 13*u = -580, -3*u = 2*b - 1188. What is b rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -59. Suppose n = 55*g - 49*g - 1152. Calculate the greatest common divisor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 69 = -9*r. Factor f**2 + r*f**2 + 2547*f - 2547*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1 + -5) - -1. Suppose -z + 1 = -2*o. Suppose -2*b - o = -12. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488924.\nAnswer: 2, 3, 59, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0231 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/81 - (-31143750)\/759375\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*y - 0*y + 6264*b - 6254*b, -2*b = y - 6*b + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-576)*(-2)\/3*(-412)\/40 and -103\/486.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*j**4\/11 - 54854*j**3\/11 + 584536*j**2\/11 + 211656*j\/11 - 12384\/11 = 0. What is j?\nAnswer: -2\/5, 2\/39, 12, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15748 and 2540?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 22 (b) 0.1 (c) 1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 - 2*h. Let i be s(-4). Suppose 5*r - 16 = 4*j, r - i*j + 5*j - 1 = 0. Suppose -z + 36 = 38. Sort r, -3, z in descending order.\nAnswer: r, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 15, 25, 47, 87, 151, 245?\n\"Answer: q**3 - 3*q**2 + 6*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 186742, 747023, 1680832, 2988175, 4669058, 6723487, 9151468?\n\"Answer: o**3 + 186758*o**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 3649*p**5\/5 - p**3 + p**2 + 216*p - 7602. Find the third derivative of d(q) wrt q.\nAnswer: 87576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2. Let r = -9 + 7. Let v(s) = s + 2. Let i(p) = p + 1. Let o(a) = r*i(a) + v(a). Determine u(o(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762729*j**2 + 794020*j**2 - 1556748*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 5}. Give prob of picking 2 v.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -1\/2*x**2 + 126 - 27*x. Determine c(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {m: 1, w: 1, e: 1, b: 1, g: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -37*u**6\/120 + u**5\/30 - u**4\/24 - 27*u**2\/2 - 29*u. Let z(p) be the first derivative of s(p). What is z(1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1007464176 to the nearest integer?\nAnswer: 31741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-16) - (-1335)\/120. Let n(l) = -2*l**3 + 24*l**2 - 7*l - 10. Let m be n(f). Calculate the greatest common factor of m and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59842607, 59842610, 59842613?\nAnswer: 59842616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(2\/3)*i)\/i))\/(i\/i**(-5\/4)))\/((i*i*i\/i**(-3\/5))\/(i**(4\/5)\/i)) assuming i is positive.\nAnswer: i**(-343\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 55*q**2 + 4*q - 2. What is a(-55)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-24)\/(8\/2))*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 5 - 6)*(9*k + 7*k - 15*k) + 28 - 28 - 48*k)*(3*k**2 - 6*k**2 + 5*k**2) as c*k**2 + q*k**3 + z*k + u and give q.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 18\/41, 1.24 in ascending order.\nAnswer: 18\/41, 1.24, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 132*v**2. Let o(n) = 32*n**2 - 178*n + 2. Determine o(r(i)).\nAnswer: 557568*i**4 - 23496*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x + 51*x - 24 = 0. Solve -x*p + 11*p = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**(-2\/5)\/o)\/o)\/o)**27)**(-2)\/(o**(2\/17)\/o**1)**(2\/119) assuming o is positive.\nAnswer: o**(1311054\/10115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**2. Let x(f) = 5359278*f. Give x(d(t)).\nAnswer: -32155668*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1132 (b) 0.2 (c) -0.3 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/60 - q**4\/6 - q**3\/6 - 2*q**2. Suppose -2*p = -6, 0*f + 3*f - 12 = p. List the prime factors of i(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 18*g**2 + g - 7. Give x(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46861948.\nAnswer: 2, 7, 23, 72767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*m - 105*m - 84 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 8:54 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 60270483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/(-15)*15\/(-36).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 106324 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055739 to 7 dps.\nAnswer: 0.0000557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14831197 (base 10) to base 13.\nAnswer: 30c3874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 8) to base 2\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/307975 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 886495316?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 105204*n - 135 + 39744*n.\nAnswer: -65460*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 + 13*c**2 + 3*c - 13. Let f(m) = 2*m**3 - 6*m**2 - 2*m + 6. Calculate 13*f(j) + 6*w(j).\nAnswer: 2*j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 520, 1041, 1566, 2095?\n\"Answer: 2*d**2 + 515*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*b**2 + 14*b**3 - 174*b**2 - 174*b**2.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47146 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 5\/3*o**3 + 0 + o**2 - 45*o. Let z(c) = 5*c + 1. Suppose 0 = -3*x, 13 = 3*y + x - 2. Calculate y*z(g) - 3*w(g).\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*(w\/(w*w\/(w*w*w\/(w\/(w\/w**(-2\/71))))*w*w))\/w)*w)*w**(-22))**(-26\/7) assuming w is positive.\nAnswer: w**(6058\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 smaller than -1631\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:19 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132.26 + 5.46. Let d = 127 + b. Put -0.2, d, -4, 2 in ascending order.\nAnswer: -4, -0.2, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 20. Suppose 0*v - 5*j = v - 25, -4*j = -m. Solve -5*w - g - 3 = v, 4*w - 4*g + 12 = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78787\/5 - -15758. Let m = -0.02 + 19.02. Which is the second smallest value? (a) 0.5 (b) p (c) -2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 2*o. Let z = 7 + o. Suppose z*m - 32 = 2*m. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -615 - -620. Solve -o*u + 5*c - 5 = 0, -7 = -2*u - 3*c + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**6\/60 + q**5\/30 - q**4\/6 - q**2 - q. Let k(z) be the first derivative of u(z). Suppose k(g) = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.164 + -0.336. What is the closest to -2\/7 in 8, g, 3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 11 = 7. Let x(g) = 11*g**2 - 8*g - 8. Let k(l) = -4*l**2 + 3*l + 3. Let q(t) = d*x(t) - 8*k(t). Let a(b) = -2*b. Determine q(a(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/(9\/135*66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16596 and 590722.\nAnswer: 4901811156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:42 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -59868*k + 838148. What is h(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(7\/(-56)*4)*2)\/(-4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/2 + 7*g - 15\/2 = 0. What is g?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 55.8 (c) -1 (d) 2.3 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - f = -11, p + 5 = 5*f - 6. Let b(s) = 13*s**2 + s. Calculate the lowest common multiple of p and b(2).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 73 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.9 + -0.1. Let y = 39 + g. Let v = 21.0000043 - y. What is v rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18910*l + 18910*l + 11*l**2 - 25*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*v - 5 = -6*v, 0 = n - 2*v - 15. Suppose -n*t - 2 - 13 = 0. Let m be t + (-1 - 27)\/(-4). Sort 5, m, -4.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 8*m + 15. Suppose -4*y + 3*t - 4 = 0, -568 + 618 = 2*y + 5*t. Let r(b) = 2*b**2 + 9*b + 16. What is y*r(g) - 6*v(g)?\nAnswer: -2*g**2 - 3*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9120 divided by -6?\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1547*u = -12369 + 20412 + 33203 + 12899 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Divide -7548 by -37.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3) - -2)*(-69)\/(-23). Suppose 9*u - 12*u + 39 = a*n, -4*n = -3*u - 57. Calculate the greatest common divisor of 492 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/22443 and -25\/7?\nAnswer: 157101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*h = -106, -4*h + 52 = -11*v + 9*v. Let u be v\/(-27)*(11\/2 + 2). Solve -u*k = 5*m - 35, 8*k - 4*k - 18 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 726 = 2*b, 5*f - b = -2*b - 717. Let a = 252 + f. Does 27 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 716988 and 1087512.\nAnswer: 162039288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**3 - 2*s**2 + 7*s - 10. Is 26 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/8)*u)\/u**(-1\/5))\/(u**(8\/5)\/u**(-4)))**27 assuming u is positive.\nAnswer: u**(-5157\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 336 - 339. Let s be (-21)\/(-14)*11\/((-33)\/(-6)). Sort s, 13, -2, w in descending order.\nAnswer: 13, s, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1404.5 + -1401.5. Let r be 3 - 1 - (-5)\/(-3). What is the smallest value in 2, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -343*v - 25688. Calculate f(-75).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00873143 to 4 dps.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51\/13257290 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 84.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(30)*4 + (-3*sqrt(120))\/sqrt(4))\/(sqrt(360) - -2*sqrt(360)*-2 - (sqrt(360)*-1*-1 + sqrt(360))))**2.\nAnswer: 361\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901173 is divided by 142?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -160\/3. Let h = -5 + 7. Let q = h + 2. What is the smallest value in i, q, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 46*n - 508. Let m be g(-23). Solve 2*t + 19*i + m = 14*i, 4*i + 26 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1314 = -5*w + 10059. Suppose w*q + 28 = 1756*q. Determine z, given that -3\/5*z**q + 0*z + 0 - 3\/5*z**3 + 6\/5*z**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -39*j + 43*j + 3*b, -25 = 5*b. Let n(h) be the first derivative of 0*h - 7 + 3\/5*h**5 + 0*h**4 + 3*h**2 - j*h**3. Factor n(a).\nAnswer: 3*a*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346137 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1775 and -8\/13831.\nAnswer: 24550025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22499237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3218687 + 1200587 = 0. Let f = 3249637 - l. What is f rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40508 (base 10) in base 13?\nAnswer: 15590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*6.51.\nAnswer: -97.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-18)*-2 - (-13 - 10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2202 (base 3) to base 15\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-10))\/(-1004 - -1005)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 5*i**2 - 2*i - 8. Let k be l(-5). Solve 6*c - k = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 23*y + 28*y = -16, -7*v + 4*y - 13 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 10 + 58 = 4*s, 5*n = -15 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.2362 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815.9509545 rounded to 0 dps?\nAnswer: -1816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**3 - 2*j**3 + 0*j**3)*(-8034 - 26692 + 109748 + 77779) to d + h*j + s*j**3 + l*j**2 and give s.\nAnswer: 305602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 4.87.\nAnswer: 3.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 6) in base 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**2 - 163*f + 44. Calculate p(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(30) + sqrt(210)\/sqrt(7)))\/(-5*(sqrt(10) - -1*sqrt(10))))**2.\nAnswer: 48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z + 0*z)*(-z - 1 + 1) + 3*z**2 + 0*z**2 - 2*z**2 + 0*z**2 + 0*z**2 + z**2 + (3*z + 3*z - z)*(1045 - 1355 + 0*z - 2*z) + z - z + z**2.\nAnswer: -6*z**2 - 1550*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 75. Let v = n + -5. Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -324*l + 134454. Determine u(415).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 5*n - 18. What is p(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -185*t + 667. Is v(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 7 = -20. Let s be i + 0 - 0\/(5 - 0). Solve 4 = -s*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 41036517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (-3 + 7 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/115 (b) -1\/23 (c) 0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 28*t**2\/13 + 1370*t\/13 + 1006 = 0.\nAnswer: -503\/14, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-684)\/60 - 4\/(-10). Let u = 77 + -598\/7. Find the common denominator of u and ((-24)\/d)\/(-1 - -3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddttttmttdttmtt. Give prob of sequence dmdd.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 22, 42, 84, 154, 258, 402?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 22550?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 2:26 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -484165144 - 5?\nAnswer: -484165150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.351 - 0.149. Let m = o - -11.9. Which is the nearest to -1\/3? (a) 1\/3 (b) m (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 220558260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d + 7. Let z(u) = -55*u**2 + 1. Let t be z(-1). Let k be (t\/63)\/((-2)\/(-14)). Is v(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1 + -3)\/((-14)\/(-70)). Let c be -17*(0 - x - (-6 + 9)). Round c to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 13*l**2 - 2*l - 5. What are the prime factors of s(-13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12847362 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9152200 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18351025?\nAnswer: 5, 7, 11, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b. Suppose -21 = 6*y - 2*y + 3*a, 4*y - 5*a = -29. Let m be (3 + 27\/y)*2 + -3. Give d(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 42 = 2*h. Let r be 1 - (5 - -1)*1. Let o(a) = -7*a + 2. Let c(n) = 6*n - 2. What is h*c(y) + r*o(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppallq. What is prob of picking 1 l, 1 a, and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - 2022?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 101690821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 - -339. Solve 10*b = c*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-three quarters of a second?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.14 (c) 1\/3 (d) -2\/13 (e) 0.5 (f) 32 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -151279667 rounded to the nearest one million?\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/60 + 5*n**4\/24 - 5*n**3\/6 + 17*n**2\/2 - 36*n. Let m(p) be the first derivative of i(p). What is m(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -3*t**2\/2 + 6*t + 1. Let w be p(-3). Suppose -5 - w = 4*m. Does m = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000961 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 304*p**2 + 908*p - 22. Determine t(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 168, 163, 146, 117, 76, 23?\n\"Answer: -6*j**2 + 13*j + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 370\/22 - -1 - 4\/(-22). Let o = -11 + w. Determine p so that -25*p**2 - 2 - 35*p - 5*p**3 + 7*p**2 - 13 - o*p**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13325684241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {t: 1, c: 5, g: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2107528 - 2107528 + 1593*s.\nAnswer: 1593*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -7*x**2\/2 - x + 2. Calculate the remainder when 17 is divided by v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-15) + -5 + 2\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4126 is divided by 258.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.9966 + -0.0034. What is the second smallest value in 3\/2, -0.4, z, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1409.81089 + -1410. Let v = t + 0.19. What is v rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212 + 228. Suppose d - 14 = n. Calculate the remainder when 78 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*l**2*x**2*y**2 + 8*l**2*x**2*y + l**2*x*y**2 - 15*l**2*x + 4*l**2*y + 3*x*y + 1 wrt x.\nAnswer: -394*l**2*y**2 + 16*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 12*l - 15. Let z(p) = p + 1. Let j(b) = -3*a(b) - 36*z(b). Let g(h) = -19*h**2 - 19. What is -6*g(i) - 13*j(i)?\nAnswer: -3*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369485185 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001 (base 2) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-609)\/105 - 3*1)\/((-12)\/30)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2501025 divided by 15.\nAnswer: 166735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 6*y. Let g(a) = a**3 + 15*a**2 - 33*a + 21. Let x be g(-17). Give f(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12784 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-1272)\/256 + 5). What is the first derivative of 141 - f + 71*r - 32 wrt r?\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881175145 to the power of 1\/3, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:08 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/3 - 188*b\/3 + 86320\/3 = 0. Calculate b.\nAnswer: -260, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.3 (c) 248 (d) -2 (e) 14.8 (f) -1\/4 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237425947.\nAnswer: 11, 21584177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 116b (base 13) to base 3\nAnswer: 10100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*l**4 - 76*l**2 - l - 66275 wrt l?\nAnswer: -2292*l**2 - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -3370. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 13. Let r be o(-9). Let d(g) = -3*g**2 + r*g**2 + 38*g**3 - 39*g**3. Determine d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2983459888 to the nearest integer?\nAnswer: 54621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -13 + -121 + 137.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.8 - 4.2. Let w = v + 23.2. What is the second biggest value in w, -15\/7, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98363, 98355, 98341, 98321, 98295?\nAnswer: 98263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + 0 + (-9 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 34*r - 17*r - 2*r**3 + 25*r.\nAnswer: -2*r**3 + 59*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -17*l - 166. Let v = 88 + l. Solve -7*q = -v*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155710924 to the power of 1\/2, to the nearest integer?\nAnswer: 12478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 138 = -92. What are the prime factors of (-69)\/b*397\/9*-3?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2589 - 79*i**2 + 2589 + (3 - 3 + 2*i)*(3*i - 3*i - 2*i).\nAnswer: -83*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*w + 72*g - 69*g, 3*w - 4*g = -8. Suppose -114*u + 105*u + 388800 = w. Round u to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 1b1c8?\nAnswer: 1b1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*c = -5*l + 137*c - 30, 4 = 3*l + c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/11 (b) -24 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/13 - 178*c\/13 - 3852\/13 = 0. Calculate c.\nAnswer: -18, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 16.\nAnswer: 51\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -10*k + 20. Suppose 3*x = -0*z + 3*z, -20 = k*z. Let d = 2\/5 + -24\/35. What is the closest to d in 3, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000079463181 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 + 12 + -1*3. Let t(n) = -n**3 + n. Let j be t(i). Solve 3*l - 3*c - 15 = 0, l - 2*l + 2*c + 7 = j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Let b(f) = -f - 18. Let q be b(0). Let z = q - -12. Sort z, m, 4 in descending order.\nAnswer: 4, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 - -2900010 - (-2)\/2. Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 51. Suppose -6*p + 2*p - 5*s = -13, x = -p - 2*s + 4. What is the derivative of 9 + 11 - 2*f**p - 1 - 6 wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9840c - 2d5?\nAnswer: 98117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-25) + 39\/15. Suppose 4*x + 6 = 7*x. Solve 0 = x*t + 2*a + 8, 3 = -i*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cffc when four letters picked without replacement from gggcfggccgcyygfcgyc.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-10) + 6 + 1410\/50. Let y = -50 + 7. Let p = o + y. Let l(m) = -8*m + 4. Let g(f) = -2*f + 1. Calculate p*g(n) + 2*l(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -613477177*d**5 - 8500*d**2 - 13*d + 16 wrt d?\nAnswer: -36808630620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 207 = 5*m + 57, -2*o - 120 = -4*m. Calculate the remainder when 119 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(b - 2*b + 0*b) + (-2 + 2 + 2)*(86*b - 27*b + 40*b).\nAnswer: 197*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -309. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let f be -2 + 4 - (j - 2). Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/370 and 109\/3639340?\nAnswer: 134655580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*m + 7, -2*m + 6 = -3*w + w. Let b be w*15\/12*-7. Is 10 a factor of b\/2*(-16)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-7)\/((-210)\/905). Let d = s - -1733\/66. Suppose -r + 2*o - 14 = 0, 25 = 7*o - 2*o. Sort 0, r, d in descending order.\nAnswer: d, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 + 63*b**3 - 3 + 5 + 65*b**3 + 69*b**3 + 10*b**3.\nAnswer: 181*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -269, 1\/4, 2, 8, 7, -2 in descending order.\nAnswer: 8, 7, 2, 1\/4, -2, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2090, 3117, 3078, 1973, -198, -3435?\n\"Answer: -533*p**2 + 2626*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 3757 divided by -3\nAnswer: -3757\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + y = 3*y - 4, 5*y + 8 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 3*b + 109. Suppose 0 = -5*x + u + 4, 4*x - 3*u - 13 = -1. What is the units digit of j(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238557276 a multiple of 3543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1820 and 8?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*k - 2806 + 2986, z + 90 = 2*k for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 - 5*x + 8. Let g be v(-6). Let y(m) = 3*m + 3. Let c be y(g). Solve -3*l + 0*l + c = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 - 22\/(-28). Suppose 17*v - 13*v = 0. Let u be ((-5)\/20*-4*-1)\/1. What is the third smallest value in h, u, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*(-3)\/(-6))\/1. Suppose 3 = q - 3*j, 4*q + 4*j + 21 = 81. Let z(g) = g**2 - 13*g + 30. Let p be z(q). Solve y - 4*r + p = a, y + 1 = -y + r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 2323*x - 13983. Determine t(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12202211112100 (base 3) to base 9\nAnswer: -5684470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 - 4*t - 2. Let w be (4\/2)\/((-4)\/(-6)). Let v(p) be the first derivative of 7*p**3\/3 + 7*p**2\/2 + 4*p + 294. What is w*v(o) + 5*y(o)?\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*r**2 - 2*r + 138*r**2 + 2*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -24*m + 12. Let v(l) = -10592*l**2. Determine f(v(b)).\nAnswer: 254208*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5 - -1)*8. Let q be -1*((-3 - -2) + -2). Suppose -q*y = y - l. Calculate the smallest common multiple of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13742534 divided by -1057118.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/2 + 3*r**2\/2 + 2*r. Let f be u(-2). What is the common denominator of 43\/2 and 0 - f\/(54\/(-137))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + 0*z**4 - z**5 - z**5 - 3*z**5 + 2*z**5 + (-1 - 1 + 3)*(1 - z**5 - 1) - 3*z**5 + 2*z - 2*z)*(32 - 8 + 19).\nAnswer: -301*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((1\/((-60)\/18))\/(4\/(-220)))\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -474.5 + 471.5. Which is the closest to w? (a) 0 (b) 16 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -41. Suppose -2*a = -6*a - d. What is the common denominator of -77\/12 and (-4)\/a - (-3731)\/(-196)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 11*v - 5*o + 1 = 0, 2*o - 5 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.24 - -13.3. Let n = -8.06 + w. What is the closest to -1 in n, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 62.92989l in millilitres?\nAnswer: 62929.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*t**2 + 0*t**3 + t**3 - 154*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4 + -1*sqrt(243) - sqrt(243))*5)**2*1.\nAnswer: -3600*sqrt(3) + 24702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -165.99.\nAnswer: -663.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = b - 21, -5*b + 24 = 5*a - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, u: 11}. Give prob of picking 1 u and 3 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 1)*(-50)\/(-4). Let n = -14 + c. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let y be 8\/(-36) + (-112)\/(-18). Let p(d) = -3*d + y*d - d - 4*d. Give p(a(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - z - 4. Let b(k) be the second derivative of 7*k**4\/4 + 5*k**3\/6 + 21*k**2\/2 + 2*k. Let i be 1 + -2 - 3 - -2. Calculate i*b(x) - 11*h(x).\nAnswer: 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -50*c**3 + 54*c**2 - 4*c = 0.\nAnswer: 0, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 6644.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.08 + -14.4. Round g to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 634*i - 174244. Calculate j(275).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 4851756?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((8\/324)\/(10*(-7)\/(-105))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 4, 129 in descending order.\nAnswer: 129, 12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-1*-1*(-24)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -161, -237, -311, -383, -453?\n\"Answer: x**2 - 81*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2715.2 to the nearest 10.\nAnswer: -2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0*a + 3*a - 2*a - 3231 + 3230. Let o(p) = p. Determine m(h) - 2*o(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 3\/2, 0.05, 1, 0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461*0.05.\nAnswer: 23.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {y: 2, p: 1, q: 1, o: 6, b: 1, c: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(720))**2 - (sqrt(20) + -1)**2 - (-5 + (sqrt(45)*2)\/sqrt(9)*-5)).\nAnswer: 62*sqrt(5) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Suppose 2*s + 2*s = 8. Let h(q) = -2*q + s*q + 2*q**2. Determine r(h(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Suppose w = 4*q + 9 - 49. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127908 and 1368.\nAnswer: 255816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12482, -12494, -12480, -12428, -12326, -12162?\n\"Answer: 2*x**3 + x**2 - 29*x - 12456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 8*v + 3. Let x be y(-8). Suppose 0 = 2*b - m + x*m + 4, 2*m + 18 = 5*b. Solve -j + 4*j + b*w = -2, -2*w = j + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 124, 110, 78, 22, -64, -186, -350?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/5 + 10\/50. What is the units digit of 303\/33 + f\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/805826 and 137\/138832308.\nAnswer: 971826156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 2*c + 226. Let t be b(14). Solve 0 = 3*o - t*g + 1, 3*o = -4*g + 3 + 26 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) - (sqrt(1216) + sqrt(1216) + -2)))*6 - sqrt(1216))**2 + (-1*sqrt(190)*-3)\/sqrt(10).\nAnswer: -2109*sqrt(19) + 147280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -211122022 (base 3) in base 12?\nAnswer: -9675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1154 and 12.\nAnswer: 6924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-4)\/4*5\/550*22. Let g(r) = 2*r**3 - r**2 + 10. Let c(v) = 3*v**3 - v**2 + 10. Let i(z) = -3*c(z) + 4*g(z). What is i(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**4 - 2*s**3*x - 341702*s**3 + 11303*s*x - 404*s - 6 wrt s?\nAnswer: -24*s**2 - 12*s*x - 2050212*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266873 is divided by 755624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1188.9 + 1188.88. Put 0.3, k, -0.2, 1, -2 in ascending order.\nAnswer: -2, -0.2, k, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from csfxfxvcfc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001503 rounded to seven dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 5692*p + 11368.\nAnswer: 4*(p - 1421)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 + -81.2. Suppose 0 = -n - 0*n + 2. Suppose -i = 5*x, -n*x + 3*x + 9 = -2*i. What is the nearest to x in l, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxw when three letters picked without replacement from {w: 1, v: 2, u: 4, j: 5, n: 2, x: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*n = -302 - 310 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-3*k**2 - k**2 + 3*k**2).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1514449 and 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 794623686 and 2823.\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(80) + sqrt(80))\/sqrt(2))\/(sqrt(162)*2))\/(((sqrt(240)*2)\/sqrt(10))\/(sqrt(6) + 2*sqrt(384) + sqrt(384))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2817?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let g be z\/(-10) - 2060004\/20. What is g rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14055223525 - 1?\nAnswer: -14055223530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74096014 is divided by 1516.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 79729.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13067.\nAnswer: 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfofxafxxxxffka. What is prob of picking 1 o and 1 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, -2\/175, -5.\nAnswer: -5, -1, -2\/175, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 7150\nAnswer: 1\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbw when three letters picked without replacement from bwbbbbwbwbb?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221445 divided by 3515.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 680 - -118. Let q = -423 + b. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1296\/5 + 2\/5*a**4 - 414\/5*a - 154\/5*a**3 + 726\/5*a**2 = 0. What is a?\nAnswer: -1, 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, -9, 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3220 - -6094. Is 27 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 844*v + 54. Let w(m) = -211*m - 12. Give -2*k(a) - 9*w(a).\nAnswer: 211*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 28. Is ((-10)\/(-3))\/(k\/531) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 - 5354*t**4 + 8055010*t**3 - 8028230*t**2 - 32220008*t + 32198584 = 0 for t.\nAnswer: -3751, -2, 1, 2, 1073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4\/(-10)*730\/1022?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h - 26. Let i(j) = 8*j**2 - 25*j - 38. Let n(g) = 25*g**2 - 79*g - 117. Let c(f) = 19*i(f) - 6*n(f). Is c(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 161.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2290 + -68699\/30. Let t(r) be the second derivative of 9*r + m*r**6 - 1\/12*r**4 + 0 + 0*r**3 + 0*r**5 + 0*r**2. Solve t(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c + 50. Let r be c\/40 + (-23)\/28. Is -1 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Let u be (3\/(-2))\/(5\/(-10)). What is the second derivative of q - 3*q - 2*q**j + 3*q**u wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:23 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6341160 to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15842569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.9. Let p be ((-8)\/34)\/(-8 - -6). What is the smallest value in p, f, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-150)\/(-500) - 6\/20. Suppose 0 = p - 3*c + 8*c - 784, j = 2*p + 4*c - 1550. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.3 times -10\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 15596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636983569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 3*x**2 + 3*x - 4. Let l = -13 - -57. Suppose y - l = -2*y - q, -4*y + 57 = q. Let r = y + -16. Give z(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siskkkikkkipkli. What is prob of picking 2 s and 1 p?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*a = 15, -j + 2*j = 3*a + 5. Solve -d = -j*w + d + 16, -5*d - 2 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/14 - 33\/(99\/12). Sort 77, g, 2\/5, -0.3.\nAnswer: -0.3, g, 2\/5, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199\/3 - 65. Suppose -2*x + 13 - 9 = 0. Let -10\/3*t**3 - 4\/3 + c*t**x + 10\/3*t = 0. Calculate t.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*(-45)\/(-6)*15\/(-30)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 21*r**3 + 15. Let t(h) = 10*h**3 + 8. Give 6*f(u) - 11*t(u).\nAnswer: 16*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -213*h**2 + 2*h + 10. Let l(u) = 6*u - 3. What is l(b(p))?\nAnswer: -1278*p**2 + 12*p + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(2\/3)))\/n*n**(1\/5)\/n)\/((n**3*n*n)\/n*n**(-4)))**(3\/5) assuming n is positive.\nAnswer: n**(-17\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -24, -0.899?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 150 from -8.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 9*v + 16. What is p(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014212 (base 5) in base 12?\nAnswer: 30a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91636.\nAnswer: 2, 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y - 4*y + 6*y + 4*y - 4*y - y + (1 - 3 + 3)*(0*y + 0*y - 2*y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1365)\/(-3185))\/((-6)\/(-21)*(-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42416*h**3 - 11 + 2 + 9.\nAnswer: -42416*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and 16\/24 - 55\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Let k be w\/(-4) - (-462)\/4. Let i = k + -69. Calculate the remainder when i is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 56*q + 1033. Give a(-19).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*2\/4 + 104\/637*-14. What is the closest to 1\/4 in 4, u, -0.063?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 5*r**2 + 3. Let p(y) = 3*y**2 + y - 4. Let g be p(-3). Suppose 4*t = -0*t - g. What is the remainder when 6 is divided by n(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1436789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 6*x - 10. Give m(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in -32, 310.68, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 12*v. Let s be q(6). Suppose -3*r + s + 51 = 0. Let l = -2 + r. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 - 163*q + 282. Let a be u(-56). Find g, given that 1\/3*g**a + 0 + 0*g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*v = 7, 2*t + v - 5*v - 4 = 0. Suppose -t*h = h - 20. Put -0.2, -5, h in descending order.\nAnswer: h, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c + 5. Suppose 6 = c*l - 3*l. Suppose l*w + 20 = 2*b, 0 = b + 2*w + 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/121 (b) 2\/11 (c) -5 (d) 0 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y + 21 + 6*y + 11*y to the form u + q*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*(-1290)\/(-43). Sort -3, 5\/4, n, -0.2, 0.1 in ascending order.\nAnswer: -3, -0.2, 0.1, 5\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29263, 29265, 29267, 29269, 29271, 29273?\n\"Answer: 2*o + 29261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3661 is divided by 312?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 21*w**2 - 23*w - 20. Let n be i(-22). Suppose -5*b - 5*v + 1690 = 0, 21*v - 680 = -n*b + 17*v. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137724 and 523756?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.25 + -0.25. Suppose 2 + 0 = 2*w. Is f >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 2 - -2 - -34. Suppose 4*d + 5*w = -3 + a, 3*w - 3 = 0. Suppose 3*o = d + 5. What is the greatest common factor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z + 3*p - 4, 0 = 4*z + 3*p - 17. Suppose -u - 3 = 1, 2*j - z*u - 56 = 0. What is the smallest common multiple of 8 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((2\/4)\/(24\/(-96)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - -55)\/(1 - 14\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36116 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67577.6 years to months.\nAnswer: 810931.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(((-304)\/(-6648))\/(-19)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-39))\/((-98)\/(-98)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8704*b**4 - 2053*b**2 + 68031194*b?\nAnswer: -104448*b**2 - 4106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132.6 + -7652774777?\nAnswer: -7652773644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 525\/(-70)*(-4)\/10*-8. Let h(r) = -4*r - 58. What is the units digit of h(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*d + 30 = 3*v, -4*d - 12 = 0. Is (-18 + 0)*(-5)\/v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -297*v**3 + 30*v**2 - 1237. Let k(b) = -74*b**3 + 7*b**2 - 309. Let z(a) = 2*g(a) - 9*k(a). What is the derivative of z(x) wrt x?\nAnswer: 216*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009484550176 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20922, 82452, 185002, 328572, 513162?\nAnswer: 738772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -9, 10, 47, 108, 199, 326?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 5*c**7\/14 - c**6\/10 - 5*c**5\/4 + c**4\/2 + 1149*c**2. Factor z(v).\nAnswer: 3*v*(v - 1)*(v + 1)*(25*v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(4 + 1 + ((sqrt(17) - (sqrt(2176) - sqrt(34))\/sqrt(2))**2 - ((0 + sqrt(68))**2 + sqrt(17))) + -2).\nAnswer: -9846 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72601556 divided by 18150389?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 3*j**2 + j + 1. Let d be c(-2). Suppose -15 = -0*h + d*h. Let l = -2 - -2. Sort h, 2, l in descending order.\nAnswer: 2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 132*m - 414 = 0 for m.\nAnswer: -3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k + 4*x, -2*k + x + 7 + 5 = 0. Let o = 529 + -533. What is the nearest to -1 in 5, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336781550?\nAnswer: 2, 3, 5, 13, 52733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304876?\nAnswer: 2, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13050\/750 - (-4)\/(-10). Solve -h*g - 79 = -11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32091.414 rounded to the nearest 10?\nAnswer: -32090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-14)*32\/(-12). Let y = -26\/21 - s. Sort y, 1, 3.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 6. Suppose -67 = -3*f + 4*h, 3*h + h = i*f - 125. Does 28 divide 2*(f + 2 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20664, 20348, 19844, 19152, 18272, 17204, 15948?\nAnswer: 14504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108037546 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-152)\/(-6)*(-8 + 5). Let j = p - 16. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/4 + 366\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044036 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - -11. Let r = 562 + -49. What is the greatest common divisor of k and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -104 + 9 + -2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.5 (c) -8 (d) -2\/7 (e) 0.32 (f) 20.3 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37331459 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z. Let v(q) = 5*q**2. Let w(y) = 4*y**2. Let h be (13 - 7)*2\/6. Let p(a) = h*v(a) - 3*w(a). Give u(p(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 - 13*t - 19. Let h be q(3). Solve -h*i - 40 = 2*y + y, 0 = -i + 2*y + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*w + 45*w - 325. Suppose -28 = 3*d + 6*u - u, 0 = 2*d + 5*u + 27. Let t(j) = -j**2 + j. Let m(i) = -6*i**2 + 7*i + 1. Calculate d*m(c) + w*t(c).\nAnswer: c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.1252491 seconds to weeks.\nAnswer: 0.00006469121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3\/3 - 2. Let p(c) be the third derivative of -c**5\/60 + 2*c**2 + 303*c. Calculate m(p(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119144 is divided by 39624.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-279)\/(-21) + 7\/((-49)\/2). Suppose -2*o - h + 5 = -2*h, 5*o - r = 3*h. Put o, 0, 5 in increasing order.\nAnswer: 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 - 20*o**3 + o**3.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10467 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/10)\/((-144)\/40). What is the nearest to -6 in 1\/3, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -62, -139, -272, -479, -778, -1187, -1724?\n\"Answer: -3*a**3 - a**2 - 15*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334*s**5 - 158*s**3 + 66*s**2 - 8485425*s?\nAnswer: -6680*s**3 - 948*s + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:48 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f2 - 49f?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 20, -18730, 1, -4\/7 in ascending order.\nAnswer: -18730, -4\/7, 0.2, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.382 and 0.016.\nAnswer: -0.006112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5507*d - 7049.\nAnswer: 5507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6039\/(-231))\/((-1)\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 21 - 26 - 19*q + 6*q**4 - 56*q + q**2 + 17*q**4 to a*q**2 + z*q**4 + p*q + i*q**3 + r and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in millimeters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 10:41 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 468 + (-18)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 225?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.1, 7, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689169?\nAnswer: 43, 163, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6449.407 centimeters?\nAnswer: 64494.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331289, 662597, 993925, 1325273?\nAnswer: 1656641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 899 and 4773411?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387722 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5424, -5421, -5416, -5409, -5400, -5389?\nAnswer: -5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67048 or 67075?\nAnswer: 67048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -7*f, 2*n - 4*f + 32 = 5*n. Solve 11 = -l + n*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = -6*z. Suppose -z*k = -22 - 2. Suppose -3*c + 4*i = c, k = c + i. Solve 0 = -4*f + c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9104, -36609, -82464, -146675, -229248, -330189, -449504, -587199?\n\"Answer: -v**3 - 9169*v**2 + 9*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(931)*-1) + -1 + (-4 + 2 + sqrt(931) - (sqrt(931) + -2*sqrt(931) + -1)))**2*-3.\nAnswer: -11280 - 504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) 0.3 (c) 5 (d) -7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:35 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.735 times 5655?\nAnswer: 4156.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5341 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1793135 by 129.\nAnswer: 1793135\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1503*i*m**4 + 2*i*m + 15319591*i - 28541*m**4 wrt m.\nAnswer: 18036*i*m**2 - 342492*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6192 divided by 36.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 340*f - 166*f + 5 - 167*f. Let x(h) = -h. What is x(v(g))?\nAnswer: -7*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26151 (base 7) in base 9?\nAnswer: 10466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u + 0*u**3 + 0*u**5 + 0 - 1\/200*u**6 + u**2 + 1\/40*u**4. Suppose q(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54981, 109424, 163867, 218310, 272753, 327196?\nAnswer: 381639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/20 (b) 0.2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 9 + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -74*p**2. Suppose 22 = x - 4*c, x + 3*x = -4*c - 12. Let a(b) = x*b - 5*b + 6*b - 2*b. Calculate a(g(u)).\nAnswer: -74*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 25\/9. Let g = -2 + -1. Sort g, -1, v in ascending order.\nAnswer: g, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 4*k + k + 0 - 5. Let n be s(4). Suppose n*w - 65 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42954028707 take away 26?\nAnswer: -42954028733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-42)*9\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 962, 961, 952, 929, 886, 817, 716, 577?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f + 0 - 37\/90*f**5 - 4\/9*f**3 - 1\/35*f**7 - 5\/9*f**4 - 1\/6*f**6 - 55*f**2. Find w, given that r(w) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/4)\/(-9)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 + 14*c + 11. Let l be f(5). Let j = -11 + 16. Let t = l - j. Put -4, t, -1 in ascending order.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19133 is divided by 1125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99)*6 + -2 - sqrt(99)))**2 - -6*-2*sqrt(99).\nAnswer: -108*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 968 + 26. Suppose -4*a + 6567 + 5089 = 0. Let t = a - c. Round t to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 245 = -101 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3174029805.\nAnswer: 3, 5, 487, 434501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w - 3. Let p be 120\/36*(-6)\/4. Let j be m(p). Calculate the greatest common factor of 242 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 48\/247, -0.3, 4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 - 276238146.\nAnswer: -276238157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h + 497 = -404 + 181 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.439*0.4\nAnswer: -1.3756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = 9 + 72 - 13. Put 32, k, -3, -2 in decreasing order.\nAnswer: 32, -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(132) + sqrt(132)))\/sqrt(4))\/(sqrt(22)\/(sqrt(4050) + sqrt(2))).\nAnswer: -414*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**8\/2240 - q**7\/420 - q**6\/240 + q**4\/4 + 4*q. Let n(j) be the third derivative of z(j). Solve n(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*k - 114*k = -128*k - 2034 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5363 - 5097. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 8*u - 8. Let y be q(6). Let m(a) = -y*a + 4*a - a + 2. Let g be m(0). Solve 0 = -3*t + c - 10 + g, 0 = 3*t + 3*c + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h)*(-11 + 3 + 4) + h + 0 + 0 + 3*h - 5*h + 0*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1142 + -6591?\nAnswer: -5449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.0698639 rounded to two decimal places?\nAnswer: 56.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116226 is divided by 279.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.4535 to 1 decimal place.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -58\/3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bb303 (base 12) in base 5?\nAnswer: -142321303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92197794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -34*v - 294. Is -57\/8 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7140721, 16, -3, 4 in increasing order.\nAnswer: -7140721, -3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65))\/sqrt(5) + -5 - -6*(sqrt(13) + 0 + 2).\nAnswer: 7 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1341*p - 1302*p - 384 = -2691*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 44 + 63 - 75)*(-2*b**3 + 4*b**3 - b**3).\nAnswer: 79*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-30) + 1\/((-6)\/7)*2236\/3913\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10939 + -10937. Solve 4*q = 4*z + 8, z - 2 = -i*q + 2*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30385 greater than 30374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70634 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3)\/(-18)*(-45)\/2. What are the prime factors of 6*(-6 + 850\/p)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*c - 3*c**2 + 2*c**4 - 176*c + 5*c**2 - 53*c**3 to s*c + z*c**2 + j*c**3 + w + i*c**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/(-10) - ((-153)\/(-45))\/(-17). Suppose 4*q - 4*m - 22 - 214 = 0, -a*q = -3*m - 239. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 - 86 = -76*s + 43*s. Solve 3*r = 3*i + s, -7 = -4*i + r - 11 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 a factor of 2173362112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 52*v**2 - 2*v - 44. Let t(i) = -8*i + 3. Give x(t(z)).\nAnswer: 3328*z**2 - 2480*z + 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*j**3 + j**2 + 2*j**2 + 3*j**4 + 11 - j**4 + j + 64*j**3 to the form w*j**3 + k*j**4 + y*j + n + d*j**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 34*k**2 - 63*k - 99. Is 15 a factor of l(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.8432 weeks?\nAnswer: 18579.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 3*t + 10*t**2 + 11*t**3 + 10 - 12*t**3 - 3*t**2. Let w be d(5). Suppose 2*q = 5*o - 3*o + 110, -3*o = q - w. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 128. Give m(61).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 1:23 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14376811?\nAnswer: 439, 32749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54\/108*2\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/208)\/((-2)\/((-304)\/(-6))) and -29\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*k + 64 - 126 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggttiiggtttiiu. Give prob of picking 1 u and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = -68 - 60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17544032 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.08483 + -416.08586625\nAnswer: -416.17069625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110143415 by -22028683.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 6:27 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/13, -228.21, 3, 2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2714 and 78140?\nAnswer: 106035980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1625*o + 4 + 1664*o - 3303*o to j + s*o and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00086203576 to 7 decimal places.\nAnswer: 0.000862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/11)\/(y\/(y**(6\/11)*y)*y))\/(y\/(y\/(y\/y**11))*y**(-2\/17)) assuming y is positive.\nAnswer: y**(155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1875, 7461, 16771, 29805, 46563, 67045?\nAnswer: 91251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 11*p**2 - 5*p + 6. Let x = 634 + -625. Is 41 a factor of k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 31\/29369 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 0*m - 70 = 0. Let o(d) = -d**3 + 16*d**2 - 9*d - 5. Is o(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = d - r, 0 = 4*d + 2*r - 20. Suppose 4*y + c = 14, -4*y - 4*c = -y - d. Solve 73*i**2 + 12*i**y + 107*i**2 - 100*i**2 + 32*i + 56*i**3 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2. Let z(f) = 4*f**2 - 13. What is z(g(s))?\nAnswer: 144*s**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let y(l) = -2*l + o*l - l + 4*l. Let d be ((-2)\/(-3))\/((-1)\/(-3)). Determine y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6. Suppose 3*k + k + 56 = x. Let n be (2 - (-5)\/(-1))*k. What is the greatest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and 3.3.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 6, x: 4, m: 1, b: 3}. Give prob of sequence bb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49154 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttj when three letters picked without replacement from {j: 3, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -191 + 190 + (6 - -1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*y - 6041 = 6040 + 8649 - 1152 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100991087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**3 - u**2 + 6*u - 7. Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 38\/147 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -4. Suppose 0 = -5*b + d, 2*b - 2 = -2*h + 12. Suppose -h*f = -3*z - 0*z - 19, -4*z = -4*f + 20. Is 1\/9 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.9 - -9.76. Let g = 0.86 - r. What is the biggest value in -2\/11, -1, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*n - 209*n + 793*n**2 - 2355*n**2 + 796*n**2 + 420*n + 805*n**2.\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31370 (base 9) to base 13.\nAnswer: 9579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1521507)\/1092364 - ((-1)\/7 + 0) - (-129)\/100\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17545*p + 35387*p - 16628*p.\nAnswer: 1214*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, 371, -98, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 17*f - 58. Suppose -2136*m = -2157*m + 189. Calculate o(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998 - 772 = -43*v - 75*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 + 1)*(2*j + 5 - 5) + (2*j - 2*j - 3*j)*(-4 + 3 - 1))*(-1 + 2*j + 1) to the form l + k*j**2 + c*j and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/15 (c) 28 (d) -1\/7 (e) -6\/13 (f) -1.4 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + 2.73. Let s = 13.5 + z. Let q = 11 - s. Does q = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + (83 - (-13 + 159))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(402*b - 2924 + 2924 + 227*b).\nAnswer: -629*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7556 divided by -3778\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56892056.\nAnswer: 2, 13, 283, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21.6 (b) -0.2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/9*(1 - -2). Let r(x) = p*x**2 + 3 + 2*x**2 - 4*x**2 - x**3 + 3*x. Let m be r(3). Solve 2*q + 2*u + 0 + 14 = 0, -u - m = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a. Let x be r(-1). Let k = -7 - x. Let w = 10 + k. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 29. Let l be g(12). Let a(k) = -4*k**3 - 2*k**3 - l*k**2 - 3 - k + 14*k**3 - 7*k**3. What is a(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -3*d + 181 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202620 (base 8) in base 7?\nAnswer: 51135340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3590943 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137 + 4328*p**2 - 4328*p**2 + 227*p**3 - 7*p - 3304*p**3 wrt p.\nAnswer: -18462*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-24)*1362\/129. Let d = h - -2\/43. Put d, -4, -0.5 in decreasing order.\nAnswer: -0.5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34500830 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-3*(-903)\/(-645)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 272, 545, 818, 1091, 1364, 1637?\n\"Answer: 273*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose 178 = 2*x + k*d, -5*x + 2*x - 2*d + 275 = 0. Let m = 1555 + -1523. What is the remainder when x is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (6 - (-834)\/(-1)). Let h = k + -324. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1750*g + 0 - 1749*g + 0.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5908*o + 7695*o - 865243 - 564180 = -436404 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 50 = 3*w + 4*u, -5*u + 24 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132260115 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -5722483792\nAnswer: -5722483792.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014993426498 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184387 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-106)\/(-13) + (-8)\/52. Solve b = -3*h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 3. Let h(o) = -202*o - 33. Let l(a) = h(a) - v(a). Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.6 - -0.6. Let f = -0.1631541 - 0.0368459. What is the nearest to f in n, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371429?\nAnswer: 61, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5 - 45*a**4 - 6055*a**3 - 5955*a**2 + 6050*a + 6000 = 0 for a.\nAnswer: -30, -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**6\/360 + r**4\/6 - 6*r. Let q(p) be the third derivative of o(p). Give q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*n**2 - n + 99*n**2 + n.\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*m + 2 + m)*(148 - 672 - 161) - 3*m - m + m.\nAnswer: -2743*m - 685","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 718717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 976.7844 to the nearest integer.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (902\/110)\/(-1 + ((-84)\/(-105) - (1 - 1))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + (0 - -2) + 0. Suppose 0 = -2*c + 3*c - b. Let g = c - 7. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 3*g - 39, -3*w - g + 35 = 0. Suppose -2*u + w = 4. Put 0, u, -9 in descending order.\nAnswer: u, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24684 is divided by 913.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*sqrt(624)\/(sqrt(12)*2*-1))\/((sqrt(144) + -1*(sqrt(144) + sqrt(144)*-2 + sqrt(144)))*5).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (26*6\/27 - 6) + 448\/168.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 463 - 456. Let g(o) = 44*o + 1. Let n(w) = -22*w - 1. Let x(d) = r*n(d) + 4*g(d). Let p(y) = 3*y**2. What is p(x(k))?\nAnswer: 1452*k**2 - 396*k + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7483 and 0.167.\nAnswer: -1249.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - t**2 - 11 + 30 - 4*t**2 to j*t + p + z*t**2 and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.40667 rounded to 2 decimal places?\nAnswer: 11.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -9*l**2 - 5*l + 1. Suppose t - 3*y + 14 = 0, -t - 4*y = -3*t - 22. Is o(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 137\/2 + 7\/(-14). Suppose 4*o + 4 = t. Solve 0 = -z - 3*z + o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.09999631 - 9.1. What is d rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from syysyqyyyyqyyyqyyy.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-558)\/(-155)*(2\/4 + 2). Solve -o*b - 12 = -13*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -7. Let u = 27.6855 + -28.0855. Which is the closest to 3? (a) -4 (b) t (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/102 and -7\/78.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -4326627859 and -1.1.\nAnswer: -4326627860.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 3*p**5 + 0*p**5 + (7*p**3 - 7*p**3 + 7*p**5)*(2 + 1 - 2).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 - 13*a**3 - 3 + 9*a**3 with respect to a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + h + 3656 + 13155, -5*h - 22444 = -4*j. List the prime factors of j.\nAnswer: 3, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*k - 113 = -k, -2*i + 2*k = -64. Calculate the least common multiple of 9 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*o + 122 - 57 - 65 in the form g + c*o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(13\/4)*c**32*c*c**(5\/17)*c*c\/c**(-37))**(-1\/49) assuming c is positive.\nAnswer: c**(-5137\/3332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k + 5. Let f(m) = -6*m - 2. Determine 9*f(w) + 4*n(w).\nAnswer: -6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -97\/22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254695 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b93b (base 12) in base 14?\nAnswer: 29903","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m - 1. Suppose -9*b = -2*b + 7. Let w(n) = 4*n**3 + 5*n**2 + 3*n - 3. Calculate b*w(g) + 3*v(g).\nAnswer: -g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41cbc - 5?\nAnswer: 41cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/109 or 1?\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002121 - -2?\nAnswer: 2002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(160\/8)*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 68 = -10*p. Let i be 155 - (-14 - p - -6). What is the highest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 2316510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.94 - 0.06. Let n = f - -12. Let i = -4 + n. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 108*h**2. Let i(s) = -17*s**2. Calculate i(f(k)).\nAnswer: -198288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23446 and 2687652.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -15*r + 102 + 72 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -27, -67, -133, -231, -367, -547, -777?\n\"Answer: -x**3 - 4*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33010860 divided by 5\nAnswer: 6602172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 907, 3603, 8099, 14401, 22515?\n\"Answer: a**3 + 894*a**2 + 7*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/60 + l**4\/12 - 5*l**3\/3 + 13*l**2. Let k be b(0). Let a(g) = g + 10. Let q be a(k). Which is smaller: q or 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**4 - 4*g**3 + 408*g**2 + 2304*g + 3456 = 0.\nAnswer: -6, -4, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -2*sqrt(1700))*3*-5 + ((sqrt(68) - 1*sqrt(68))*-2)\/(sqrt(44)\/sqrt(44)))**2 + 4.\nAnswer: 1380829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2. Suppose -120 = -4*q - 2*d, -4*q + 14 = -4*d - 106. Suppose f - q = -f. Let p(t) = 15 + t**2 - f. Calculate x(p(m)).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + ((63 - 53) + (2 - -7) - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -24*t - 8. Let l(z) = -25*z - 11. Let u(a) = 3*f(a) - 2*l(a). Let q(x) be the third derivative of -x**4\/24 + x**2 - 26. Calculate q(u(y)).\nAnswer: 22*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-196)\/(-20) - 5\/(-25). Sort 1, -5, -2, k.\nAnswer: -5, -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 36*r + 178. What is o(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*k**4*p - 2*j*k**2*p - 25*j*k + 78*k**4*p + 22*k**2*p wrt k?\nAnswer: -48*j*k*p + 1872*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 10960872?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4056 - -154153\/38. Find the common denominator of 31\/9 and s.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 0*g - 6*g**2 + 5*g + 6 - 6*g + g**3 + 5*g. What is the units digit of b(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 3*n. Let z(u) be the first derivative of -10*u**3\/3 - 5*u**2\/2 - u + 2343. Calculate -5*d(r) + 3*z(r).\nAnswer: -5*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461 + -5.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 922.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-81)\/(-189) - 116\/(-7). Suppose 14*z - r*z = -2*n - 40, -45 = -4*z + n. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.85 + -0.15. Let t be (1\/((-24)\/(-68)) + -3)\/(1 + (-7)\/21). What is the third smallest value in t, -4\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1874 + -1861. Solve -5*m - 18*f - j = -17*f, 2*m = -2*f - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/60 - 11*k**4\/9 - 43*k**3\/18 + k + 12. Suppose f(i) = 0. Calculate i.\nAnswer: -43, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 351 and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12029 = i, 12*i - i + b = 132489. List the prime factors of i.\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjjsfjjfjrsjjv. What is prob of sequence vs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -309*c**3*g**3 - 59*c**3 - 18*c*g**4 + c*g - 2*c wrt g.\nAnswer: -927*c**3*g**2 - 72*c*g**3 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6041*h + 261270 = 13589 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101093*y**2 + 141730*y wrt y?\nAnswer: 202186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/(-12))\/(2\/3). Let n(l) = -536*l**2 + 4*l - 8. Let a be n(q). What is a rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -0.01, 33, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440)\/(-132)*33\/(-3355)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.86 - -0.14. Let s = 654 - 668.6. Let o = i + s. Put o, 0.4, 1\/4 in decreasing order.\nAnswer: 0.4, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4920 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6\/17))**48\/(h**(-6\/23)\/h**31) assuming h is positive.\nAnswer: h**(24367\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112130331 + 131313?\nAnswer: 112322310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 7, 0, -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/144 and -145\/1404?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11557401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/35)*b**(-5)*(b**(1\/6)*b)**(1\/16))**(5\/6))**45 assuming b is positive.\nAnswer: b**(-81815\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92344 (base 11) to base 3.\nAnswer: -20211222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 - 10*y + 22. Give g(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42135666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - -4003?\nAnswer: 3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4927434 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.81817 rounded to 1 decimal place?\nAnswer: 222.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 57*a**3 - 2*a**2 - 2*a - 6. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*w - 272, q - 373 = -3*w - 177 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3)*2\/(-6). Let y be 1\/(3\/1374 - z). Suppose 5*a + 2*h = y, 1 = 3*h + 4. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {f: 1, k: 1, o: 1, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 11*t**2 - 17*t + 10. Calculate b(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*c**3 - 43*c**3 - 19*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*l - 285*l**2 + 246 + 111*l + 288*l**2.\nAnswer: 3*l**2 + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:39 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-126)\/1))\/((1600\/96)\/(-10))?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/10 - 2171*x\/10 + 3448.\nAnswer: (x - 2155)*(x - 16)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24818*r**2*w + 99366*r**2 - 103*r*w - 3*r - 2*w - 7 wrt w?\nAnswer: -24818*r**2 - 103*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6.089+-33\nAnswer: -26.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16090 - -16092. Let t(n) be the second derivative of 0 + 15\/2*n**q + 3\/4*n**4 + 3\/20*n**5 - 9\/2*n**3 + 43*n. Solve t(c) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9.2. Let m = h - 2.2. Which is the nearest to 0? (a) 0.2 (b) 2\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/2 + 87*v**2\/2 - 306*v - 790 = 0. Calculate v.\nAnswer: -2, 10, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -280\nAnswer: -1\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 plus -1263.112072321?\nAnswer: -1447.112072321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - -51. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 60\/234*9\/(-15)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*l - 41*l + 192*l**4 + 34 + 23 - 42*l wrt l?\nAnswer: 2304*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -215, -297, -471, -767, -1215, -1845, -2687?\nAnswer: -3771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7846 - -7972. Solve 108 = 3*c + h for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2958 = 4*h - 1326. Suppose -5*r + 6*r = -h. Is 3\/(-4) + r\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-3) - -4 - -293. Suppose -r - 2023 = -4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - (-24)\/14. Suppose 19 = -w*z - 3*q, -4*q - 1 = -3*q. Let v(c) = -c**2 - 10*c + 2. Does 9 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0*c*c)**(-2\/17))**(-1\/74) assuming c is positive.\nAnswer: c**(3\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -297*c - 263 - 3*c**2 - 100 + 362 + 4*c**2 - 2*c**2 + 0*c**2 + (-3*c**2 + 7*c**2 - c**2)*(0 + 1 + 1).\nAnswer: 5*c**2 - 297*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 - 40*a - 100 = 0. What is a?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/52*5*-2. Suppose -3*c - 390 = -l*r, -r + 3*c = r - 165. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82411 = 6*s - 10*s + 447225. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, 860, 84.\nAnswer: -1, 1, 4, 84, 860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:42 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k**2 + 5*k. Let j(i) = -2*i**2 + 1. Let b(s) = 6*j(s) + n(s). Let t be b(-4). Solve t*v - v + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0979 + 48.6021. Let l = -48.6999754 + a. Round l to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18424 + 2210987\/120. What is the common denominator of 119\/100 and q?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 1, k: 2, c: 3}. Give prob of sequence qcwc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -410200531 (base 6) in base 8?\nAnswer: -32603407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -12. Suppose -7*t = -s*t + 3744. Suppose 0 = 6*o - 2268 - t. What is o rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*r**2 - 125*r**6 + 121*r**2 + 33*r**2 + 74*r**2 wrt r.\nAnswer: -15000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57106155 to four dps.\nAnswer: -0.5711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u, -r + 704*u + 11 = 705*u for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-4)\/(-34) - 118\/136) + (-723)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -783, -0.2816, 1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, 3, 37, 105, 219?\n\"Answer: 2*v**3 - v**2 + v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 18*l - 3. Suppose 3*i + l = 12. Suppose i*y + 100 = 5*y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.9. Let m be 40\/18 + (-1 - 1). Let s = 1\/9 + m. What is the second biggest value in -1\/6, w, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.484746nm to millimeters.\nAnswer: 0.000006484746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yyyyyyyiiyiyyyyyyyi.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8613 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32315 (base 6) to base 12.\nAnswer: -269b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 1 + (-4 + 3 - 1)*(0 + 3 - 5) + 3 + 0 - 4)*(-5*o + 3*o + 3*o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5085)\/3390*10*2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - i**2 + i - 1. Let m(y) = 7*y**3 + 6*y**2 - 12 + 10*y**3 - 5*y**2 - y - 2. Let z(h) = 2*m(h) + 2*s(h). Find the first derivative of z(k) wrt k.\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1620?\nAnswer: -1\/1620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*q**3 + f*q + 2221*q**3 - q**2 - 3827 wrt q.\nAnswer: 12*f + 13326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 - 366. Let a = 265 + h. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1051\/2 or 526?\nAnswer: 1051\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, 2\/5, 1, -0.4, -0.03, -96569?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 5*g**2 + 5*g + 1644. Let l(r) = 6*r**3 - 16*r**2 - 16*r - 4927. What is -5*l(u) - 16*y(u)?\nAnswer: 2*u**3 - 1669","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*i - 10 = -4, 10 = 4*v - 5*i. Suppose -64 = -4*q + 4*m, 756*q - 49 = 752*q + 3*m. Which is the nearest to q? (a) 8 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 - 10*f - 11. Let b be s(-8). Suppose b*t + 4*p = 768, -3*t - 3*p + 158 = -2*t. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(88) + sqrt(88)*3*3 - sqrt(88))\/sqrt(8) + (sqrt(11) - (sqrt(44)*-1)\/sqrt(4) - sqrt(55)\/(-2*sqrt(5))))**2).\nAnswer: -17457\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*f**2 - 6*f**4 + 182*f**2)*(1 + 0 + 1) - 2*f - 2*f + 2*f - f**4 + (2*f**4 - 2*f**4 - 2*f**4)*(1 + 4 - 4) - 4*f**4 + 5*f**4 - 3*f**4.\nAnswer: -17*f**4 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000276206 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1007, -992, -959, -902, -815, -692, -527, -314?\n\"Answer: q**3 + 3*q**2 - q - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 4*t = -2*t + 18, 2*v + 28 = -5*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6299827 to the power of 1\/2, to the nearest integer?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-14)*((-67)\/1139)\/(2\/12)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4882356, 9764720, 14647084?\nAnswer: 19529448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-31\/4)*f))\/f*f**16*f**26*f**12 assuming f is positive.\nAnswer: f**(243\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2567305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/89)*j\/((((j*j*j\/((j**(-27)\/j)\/j))\/j)\/j)\/j))**19 assuming j is positive.\nAnswer: j**(-47310\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4 - 9, v - 5*l + 53 = 0. Let r be (21\/v)\/((-3)\/24). Suppose -r*t = -305 + 17. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67990 or 10674658\/157?\nAnswer: 10674658\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 5, d: 5, s: 8}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214577 + 214520. Let q be -1 - 0 - (-562)\/(-10). Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/((-3)\/4). Let a = 3046 + -3046. Solve x*j = -a*l + l - 6, 0 = -j - 4*l + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1649172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-222 - 15)\/(6\/(-25814)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 670425083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -361743 >= -361743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -763? (a) -3.3 (b) -2 (c) 0 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*t = 1, 3*b - 3*t - t - 18 = 0. Let r(n) = 0 - 1 - 1 + b*n - 6. Does 10 divide r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 9*m. Is 19 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k. Let m(s) = 6*s**2 + 8*s - 8. Let b(w) = -2*w**2 - 3*w + 3. Let r(i) = 8*b(i) + 3*m(i). What is r(q(g))?\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 69853050 divided by 877\nAnswer: 79650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/4 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*i**3*t**2 - i**3 - 5*i**2*t - 8*t**2 - 10 wrt t?\nAnswer: 44*i**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1555 and -0.06.\nAnswer: -0.00933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*l - 5*l + 5*r, 4*r + 26 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7053 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - ((-3)\/3 - (-5080)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 1628 = -13018. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8530*u - 24877*u + 8617*u + 8382*u.\nAnswer: 652*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = -h. Differentiate -7 + 2*v**2 + 26*v - 44 - 37*v + h wrt v.\nAnswer: 4*v - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 less than 0.55?\nAnswer: -3.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41516 and 332128.\nAnswer: 332128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -0.3, 9\/7, -2\/27 in increasing order.\nAnswer: -3, -0.3, -2\/27, 0.4, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 1\/8 (c) -7906 (d) 4 (e) 6 (f) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0 - (-4 + 0). Let a(n) = -n - 7*n**3 - b*n**2 + 5 + 4*n**3 - n + 4*n**3. Suppose -13*f + 204 = 21*f. Determine a(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160\/7 - -1454\/63. Which is the biggest value? (a) w (b) -3 (c) -0.2 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*r = 115*r + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5 - 6*l**4 + 14*l**3 - 16*l**2 + 9*l - 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 10:53 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 6*r - 61352, -74*r + 76*r + 6 = 0. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 7. Let m = 91 - 127. Let r = 63 + m. Suppose 7 - r = -4*u. Determine b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 1458.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.9769 - -6983.8769. Round v to the nearest ten.\nAnswer: 6970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 767 = -3*t + 315, 0 = -4*t + 3*c + 1443. Calculate the lowest common multiple of t and 12.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q - 3. Let x(b) = 2*b**2 - 3. Let d(p) = -p**2 + 9*p + 12. Let y be d(10). Let h(w) = 8 + 0 - w**2 - 9*w**2 + 4*w**y. Calculate q*h(v) - 8*x(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156293*h + 156207*h - 2064 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -33, -79, -161, -291, -481, -743?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -21, 65, 16 in descending order.\nAnswer: 65, 16, -20, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -603 from 2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**2\/2 + 17. Let m(g) = -14*g. Give m(s(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/72525 and -19\/594705.\nAnswer: 2973525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25142 (base 6) in base 4?\nAnswer: -322112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*u - 15 = -5, -n + 30 = 5*u. Suppose -2*x = -n*o + 1998, 0 = 3*o - 5*x - 273 - 941. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1283*y**2 + 14150*y + 88. Let w(m) = 1711*m**2 - 18866*m - 121. Let h(g) = -11*r(g) - 8*w(g). What is the second derivative of h(q) wrt q?\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -p + 6*p - 25, 0 = 4*v + 4. Let x be p + (-7)\/(-4) + -8. What is the second biggest value in -2\/11, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + -1)*4\/(-70). Let k = -1 - -3. What is the nearest to k in 1\/4, z, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/(-189))\/(4\/(-14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 511 + -1930?\nAnswer: -141d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 4*w - 2. Let t be i(-4). Let o = 76142357\/220 + -346101. Let n = o - 1\/44. Which is the closest to -3? (a) n (b) t (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 3, 1, 4, -3, -59 in decreasing order.\nAnswer: 5, 4, 3, 1, -2, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((sqrt(75) + (sqrt(75)*-2 - sqrt(75)))*-5 - ((-1 + sqrt(75) + -4 + sqrt(75) - sqrt(75)) + sqrt(75))) + 3*(2 + sqrt(75) + -2 + sqrt(75)))*-6)**2.\nAnswer: 20160*sqrt(3) + 529776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2 + 1)*8. List the prime factors of (10\/m)\/(2\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1813842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -18566946?\nAnswer: 9283473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i + 495. Calculate w(-55).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 3*i**2 + 4*i - 3. Let n be y(3). What is the units digit of 37 - 0 - n\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276544 divided by 2384\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.014 - 16. Let y = -9.85 + 10.136. Let b = y + s. What is the closest to 6 in 0.2, b, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*r = 20, -5 + 25 = 5*g + 3*r. Let l be (-5 + g)\/((-3 + 0)\/375). What is the highest common divisor of l and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*h - 17. Let f = -136 + 334. Suppose -9*n + h*n = -f. Calculate the greatest common divisor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1928154 divided by 6\nAnswer: -321359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/85 + 3\/17. Let n = 0 - k. What is the closest to n in 1\/7, 1\/10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 26*q + 391. Is ((-47062)\/(-10))\/(q\/(-85)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.030867 (b) -0.1 (c) -537 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1816 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -1.1, -0.3, -8?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5240 - 5241. Let o(p) = p**3 - 6*p**2 + 5*p + 2. Let n be o(5). What is the nearest to v in -5, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*j = 3381 - 8798 - 1883 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 12*z - 6. Let b be (-2)\/(-7) - 8\/28. Suppose b = -0*h - h - 11. Let w be x(h). What is the highest common factor of 40 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -41*n - 12. Let h(t) = -27*t - 8. What is -8*h(j) + 5*p(j)?\nAnswer: 11*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9430921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/264 and -151\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(612))*3 + sqrt(612)).\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (19008\/(-16335))\/(4\/30)\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.2. Let l = v - 0.156. What is l rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176 (base 9) to base 12\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 24*i - 11. Let t be m(24). Let p be (-55)\/t + 0\/1. Let y(u) = 3*u**2 - 2*u - 1. Let q be y(-1). Solve 1 = q*b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 101116, 202748, 304380, 406012, 507644?\n\"Answer: 101632*q - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695580 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/90 and 89\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {i: 2, x: 2, v: 2, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19043?\nAnswer: 137, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 140328 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 20 = -5*d. Is (-129830)\/(-30) + d\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 19 (b) -3\/2 (c) 6\/5 (d) 5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.1 or -6164?\nAnswer: -6164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f = -48*f + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (5 - 11 - -3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 1995.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 51 = 3*w - 645, f - 387 = -2*w. Let v = w - 131. Calculate the highest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.3. Let z be (-4)\/8*-1*(3 + -2). Which is the closest to -2? (a) z (b) g (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*n - 4*n - 1 = 0, -5*k - 10 = -5*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 12*t**2 + 51*t + 94. Let f be o(-5). Solve -4*h + f*u - 12 = 18*u, -h + 17 = -3*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -16. Suppose -j - 3*s + 0 = 1, y*j - 7 = 3*s. Suppose -3*d + 188 = j*g, 74 = g + 5*d - 13. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*k + 98 - 98)*(1 + 4 - 2)*(-2*k - 4 + 4).\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-33)*(-9)\/((-12)\/(-4)))\/(15\/35).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 62, 6, 1, -615 in ascending order.\nAnswer: -615, -3, 1, 6, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 2. Let p be v(-2). Let d(m) = -2*m - 10. Let u be d(p). What is the third derivative of 67*g**4 + g**2 + 36*g**4 - 83*g**4 + 0*g**u wrt g?\nAnswer: 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3937*p = 2064*p + 177935 for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -121988, 49, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 5 + 5. Let s(p) = 0 + 3*p**2 - 5*p**2 + 0. Give a(s(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + -3 + (44 - (15 - -23))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69 - 34 - 34 - 143*d)*(-d + 0*d + 0 + 1) to the form m*d**2 + g + i*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 65568?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2461*t**2. Let x(u) = u - 13. Let a(y) = 4*y - 39. Let p(q) = 2*a(q) - 6*x(q). Give p(b(r)).\nAnswer: 4922*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 120\/(-50)*10\/(-14). Sort 0.5, -0.2, b.\nAnswer: -0.2, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175824.6 times 6?\nAnswer: 1054947.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l - 188 = -115*l - 1166 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 12 - 1) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -2. Let m = 10.34 - -0.46. Let r = l - m. Which is the biggest value? (a) r (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 85*y**2 - 298*y + 117. Let c be s(80). What is the greatest common divisor of c and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/((-165)\/980) - (-2 + 2 + -3). Is i bigger than 199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -37*u + 33*u. Calculate the greatest common divisor of u and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41.52767 + -2888699\nAnswer: -2888657.47233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2432190 or -2432189?\nAnswer: -2432190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 1, m: 12, g: 2, k: 2}. What is prob of picking 1 g and 2 r?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22812\/18 - (3 - 10\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2. Let d be p(2). Let q be 77\/44*(-234)\/819. What is the third smallest value in q, d, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13267 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/9)\/d**(-2\/3) assuming d is positive.\nAnswer: d**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -21*x + 2. Calculate k(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/(17\/(-918)). Let z = n + -14. Suppose -5*a = -z*r - 219, -2*a + r + 137 = a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*v**2 + 2 + 155*v**2 - 2.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*a - 280, 10*t - 6*t - 224 = a. What is the closest to -1 in t, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 - 2*l)*(0 + 3 - 5) to h + s*l and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 5*f**3 + f**3 + 5*f**2 + (24*f**2 - 8624*f + 8624*f - f**3)*(0 - 1 + 3) to q*f + u + m*f**3 + h*f**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0 (c) 1.4237017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2829, 0, -2 in ascending order.\nAnswer: -2, 0, 2829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16625, -16628, -16633, -16640, -16649?\nAnswer: -16660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 26. Let r = a - 38. Suppose 0 = -k - r*d + 73, -306 - 106 = -4*k + 4*d. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:36 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 397489080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 0.12, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-7) + (-2256)\/84. Let n be ((-45)\/l)\/(2\/(-6960)). What is n rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*a - 16, -5*x + 3*a - 2 = 7*a. Let n(l) = 123*l**2 + l + 14. Is 24 a factor of n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 39562.\nAnswer: 395620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(110) + (-5*sqrt(110)*-1 - sqrt(110)))*-3)\/(sqrt(160) - (sqrt(160) - 2*sqrt(160))*2).\nAnswer: -5*sqrt(11)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbvddvddvdddlvdv. What is prob of sequence vddl?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2950)\/(-6))\/(2\/(-480) + 0). What is c rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 9 = -2*g, -3*g + 3*h = -2 + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 55895.\nAnswer: -22358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/156 and 4\/43293.\nAnswer: 2251236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90021146 to the nearest integer?\nAnswer: 9488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/15 + 2\/(-10). Let g be -3 - (-1)\/((-7)\/(-20)). Is y >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-440)\/(-210) + (-4)\/42. Let l(j) be the first derivative of 4 - 3\/2*j**w + 4\/3*j**3 + 0*j. Find the second derivative of l(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1112*0.3.\nAnswer: 333.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 18*t + 8. Let u be p(14). Let c = -37 - u. Suppose c - 203 = -3*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 5, v: 6}. What is prob of sequence ve?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 5. Let z(h) = 2*h**2 + 14*h - 56. Let q be z(-10). Determine b(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 456671107 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*r - 90*r. Which is smaller: -2\/113 or r?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q = 5*u - 77102, 4*q - 3*u - 308569 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + 0 + (-26)\/(-13). Suppose -12*y = -c*y + 4. Suppose 2785 = 5*j - 5*u, 1671 = 3*j - 0*u - y*u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -622 + 621.925. Let l = -73.575 - x. Round l to 0 dps.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) 5 (c) 2 (d) -2.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5a14b7 (base 13) to base 11\nAnswer: -123570a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2225*b + 4844 + 2081*b - 4844 + 3535*b in the form s*b + f and give s.\nAnswer: 7841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -2*f - 4*k, 2*f + 3*k - 288 = 6*k. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5)\/(-3060))*1180\/(-2360)*(-1)\/(-2)?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 560*x**2 - 18816*x = 0.\nAnswer: -28, 0, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -408, -3354, -11338, -26880, -52500, -90718, -144054?\n\"Answer: -420*b**3 + b**2 - 9*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 11:12 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 1664*h**2 + 5*h.\nAnswer: -1664*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0 (b) -0.03 (c) 2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1053218 or -1053219?\nAnswer: -1053218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 844532.5*-0.4\nAnswer: -337813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41540098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 124 = m. Let i(q) = -q**2 + 14*q + 46. Let n be i(-3). Put 5, n, m in descending order.\nAnswer: m, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 - (-40)\/12. Suppose -252 = -q*l + o - 2*o, l = o + 58. Let h = 101 - l. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 9*f - 10*f to c*f + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffq when three letters picked without replacement from {q: 2, f: 18}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {p: 2, x: 1, k: 8, n: 2, g: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203838?\nAnswer: 2, 3, 53, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 + -227. What is the highest common divisor of 2130 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + t + 3)*(-1 + 1 + t)*(-5*t**2 + 3*t**2 + 0*t**2).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 471\/12 + (-3)\/12. Let p be 5\/15 - 7\/d. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 30 = -5*f, -3*b + 6 = -b + f. Suppose 5 = -5*q + 6*q. Solve q*k + b*c - 28 = 2*c, k + 3*c = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*g**2 - 11*g - 2*g**3 + 11*g + 2 - 7*g**2 to s*g**3 + l*g**2 + k*g + b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -5*q - 3*n - 381, q - 2*n = -75. Let r = q - -108. What is the remainder when 91 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 3022*x - 15085.\nAnswer: -(x - 3017)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*v + 12, -3*i + 5*v + 4 = 0. Which is the second smallest value? (a) -0.3 (b) -0.2 (c) 0.2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14064 and 12306.\nAnswer: 98448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + (-4 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371632126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -34*g**3 - 4*g**2 - 17*g + 34. Let i(t) = -25*t**3 - 3*t**2 - 13*t + 26. Let a(w) = 9*i(w) - 7*k(w). Calculate a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*f**2 - 6*f**3 - 2 - 381*f**4 - 365*f**4 + 745*f**4 in the form w*f**3 + v*f**2 + s + x*f**4 + b*f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*i**3 - 1346*i**3 - 221 + 2063*i**3 + 221.\nAnswer: -464*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h + 6. Suppose 6 = 2*u, 3*u + 148 - 167 = -5*v. What is i(v)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 5*m + 5, 0*n = -4*n - 3*m + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010111101011 + -1?\nAnswer: 1001010111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o + 3*g - 3 = 0, 2*g = -6. Suppose 5*f + 33003 = -q, f + q + 6594 = o*q. What is f rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 take away 1232.7?\nAnswer: -1214.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*-15.4.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 6*g - 36 - 7*g - 1566*g**4 + 1590*g**4 to a + m*g**3 + u*g + w*g**2 + k*g**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 + 2*w**3 - 7*w**3)*(w - 2*w - 3*w) - 4*w**4 + 2*w**4 - w**4 - 13*w + 13*w + w**4 in the form j*w + n + a*w**3 + b*w**4 + m*w**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -178.1 and -2?\nAnswer: 356.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008936963 rounded to 6 dps?\nAnswer: 0.000894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38075.7067002 + 38141.7067. Let i = -65.56 + -0.44. Let l = i + r. What is l rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6531 + 6536. Solve 0 = 5*b + 2*l + g, -13*b + 12*b - l - 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -1.7 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 15\/2. Which is the second biggest value? (a) 2\/9 (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12*(-6)\/8. Let s = -0.11 - 0.39. What is the biggest value in g, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/69 and ((-4)\/(-3))\/(-4) + 3264\/66240.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -119*h - 25111. Determine b(-211).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/172 and 48\/(-12) + (5 - 347\/258).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(432)\/sqrt(3)) - (sqrt(1053) + -2)**2*-3.\nAnswer: -431*sqrt(13)\/4 + 3171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1525)\/(-610)*(552\/30 - -2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*d*m**2 - 2643*a**3*d*m - 245*a**3*d - a**2*d + 46*a**2*m + a*m + 7*d*m**2 - m**2 - 8 wrt a?\nAnswer: 12*d*m**2 - 15858*d*m - 1470*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12414 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3553 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029155550.\nAnswer: 2, 3, 5, 43, 379, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 1122 - 1398. Let n = -80 - g. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281 + -162. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.22314084 to two dps.\nAnswer: -5.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 2, n: 5}. What is prob of sequence nfzf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/14 and 85\/91364?\nAnswer: 91364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -314 + 314.0000422. Round b to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221 + -1?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -459463*w**6 - 2*w**3 + 796152*w**2 - 2*w?\nAnswer: -55135560*w**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 428 or 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 10100\/22 - 36\/396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 4. Let t(u) = 8*u - 13. Let z(j) = 35*j - 53. Let q(l) = -4*t(l) + z(l). Determine c(q(s)).\nAnswer: -18*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 565 = -5*h + 2*h, 5*h - 5*y = 965. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1697, 5, -14 in decreasing order.\nAnswer: 1697, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70543 + -8?\nAnswer: 70535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76.6 - 71. Let k = y - 1.6. Which is the third biggest value? (a) k (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2656, 5315, 7974, 10633, 13292, 15951?\n\"Answer: 2659*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -4 (b) -5\/121 (c) 6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/199 (b) 3762 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erergg. Give prob of sequence rgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**3 + 4239 - 12*j + 187*j**2 - 190*j**2 + 52*j wrt j.\nAnswer: -12*j**2 - 6*j + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1125 - -3?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 625980 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10470 (base 10) to base 4.\nAnswer: 2203212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 10. Let w be n(0). Let y be (-1)\/w*(-22 + 21). Which is the smallest value? (a) y (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 23*r + 1. List the prime factors of c(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02701987866 to four dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**2 + 3*a**2 - 10*a**2 - 3*a**2 + a**2 + 4*a**2 + (3*a**2 - 6*a**2 + a**2)*(2 - 2 - 1) + 4*a**2 - 3*a**2 + a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = 4*f - 305, -2*f + 150 = -z. Solve 4*h - f = -55 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.045 (b) 0.5 (c) -0.2 (d) 0.05 (e) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68\/5*o + 2\/5*o**3 - 48\/5 - 22\/5*o**2.\nAnswer: 2*(o - 6)*(o - 4)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -11*i**7\/5040 + i**6\/144 + 13*i**5\/60 - 14*i**2. Let w(m) be the third derivative of u(m). Differentiate w(p) wrt p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0 = 15, -4*h = 2*i + 8. Find the third derivative of 2*a**3 - 3*a**2 - 3*a**3 + 3*a**i - a**2 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(78\/(-204)))\/(37\/37)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255*11750.3.\nAnswer: -2996326.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5752, -22996, -51746, -92008, -143788, -207092, -281926, -368296?\nAnswer: -466208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - (108 + -44 + -41)) + 22?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*a - 144*a + 2528 = -111*a. Let o be (-3)\/(-6) - (-67)\/(-2). Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 7 = 2*x + 1, -3*c = 5*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6356369.\nAnswer: 857, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 108, 110, 114, 120, 128, 138?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(567)*-2 + sqrt(567) + -2 - (2 + (sqrt(567) + (-1*sqrt(567) - sqrt(567)) - sqrt(567))**2*4)).\nAnswer: -9080 - 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 55*n + 177. Let y(b) = -b**2 - b - 17. Let q(l) = -t(l) - 6*y(l). Differentiate q(c) with respect to c.\nAnswer: 6*c + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/128*-1 + 214\/272. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -198569 * 0.07.\nAnswer: -13899.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-4) - (-1)\/1. Let l(y) = -y**3 + 2*y**2 + 2*y + 4. Let w be l(3). Let q = w + 0. Is q less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.80568 - -2.80568. Let t = -5.9 + 5.826. Which is the nearest to h? (a) 1 (b) t (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 2485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40073609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4856*v**2 + 3 - 3 + 152*v**2.\nAnswer: -4704*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y**(-2)))))**(-1\/5)\/(y**(-4)*y**(8\/3)*y) assuming y is positive.\nAnswer: y**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -0.2, -110, 1\/5, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 6*b - 39. Let p be n(-13). Solve -34*a - 84 = p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (194\/128)\/((-210)\/(-168)) and -21\/11?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 3*z + 5. Let b be k(-5). Let l be -1 + (-1)\/b - 0. What is the second biggest value in 3, 9, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 - 2*t**2 - 5*t - 8. Let r(g) = 4*g**3 + 3*g**2 + 6*g + 9. Let p(m) = 7*d(m) + 6*r(m). Let z = -2 - 0. Determine p(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7567981633.\nAnswer: 179, 1567, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2. Suppose 2*m - 26 = -0*m. Let d = m + -10. Let r(b) = 6*b**2 - d*b**2 + 0*b**2. What is r(k(a))?\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 2407*v**2 - 2*v**3 - 2407*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2. Let j(g) = 1 - 2 + 2. Let y(q) = -q**2 + 3. Let k be (5 - 36\/6) + -2. Let c(d) = k*j(d) + y(d). Give i(c(w)).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-1)*(3218\/82059)\/((-1)\/17).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*j**4 + 937*j**2.\nAnswer: 5016*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - -0.13. Which is greater: -14.5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69262 greater than -69256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (988\/(-16))\/(13\/(-104)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8987*d + 269534. Calculate s(30).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwwwwwwwwwwwww. What is prob of sequence fw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 15) in base 4?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45812 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: b\"What is the nth term of 1, -21, -65, -137, -243, -389, -581, -825?\n\"Answer: -n**3 - 5*n**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.2. Let j(r) = -r + 3. Let l be j(4). Which is the closest to l? (a) -5 (b) 2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1915 divided by 383\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.094, 0.3, 0.09 in decreasing order.\nAnswer: 0.3, 0.094, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + 180?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 323\/73953 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797554 to the power of 1\/2, to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 3354 = 1002. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**2*y + 11*p**2 - 3*p*y - 49477*p + 41902310*y wrt p?\nAnswer: 2*p*y + 22*p - 3*y - 49477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllnkzm. Give prob of picking 1 m, 1 l, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 203112815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2. Let z(y) = -63*y + 266. Let i(a) = -21*a + 95. Let p(n) = 14*i(n) - 5*z(n). Determine p(h(b)).\nAnswer: 105*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/13 in -0.15, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89374, -89389, -89402, -89413, -89422, -89429, -89434?\n\"Answer: d**2 - 18*d - 89357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/23)*s**(-1\/3)\/((s*s\/(s*(s\/s**2)\/s*s))\/s))\/(s\/s**(-2\/7)*s*s*s**1*s*s*s*s*((s*s*s**(-5))\/s)\/((s**(-2\/3)\/s)\/s*s)) assuming s is positive.\nAnswer: s**(-1131\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16))**44*x**(-2\/3)*x**(2\/23) assuming x is positive.\nAnswer: x**(-48616\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x - 12*x + 4*x)*(3*x - 3*x - 2*x**2) + 0*x**3 + 4*x**3 - 6*x**3 in the form a + q*x + w*x**2 + o*x**3 and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-84))\/(190\/39)*4\/(-13)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -197, -153, -91, -11, 87, 203?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-8)\/(-2) + -25 + 22. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ddfffdd.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30845881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74814020261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14476 divided by 3\nAnswer: -14476\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x + 21*x)*(31*x + 59*x - 3*x) + 2*x**2 + 1 - 1 + (3*x + 2*x - 4*x)*(-x + 1 - 1) + x + 3*x**2 - x.\nAnswer: 1918*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**9\/9072 - v**7\/2520 - 2*v**3\/3 - 3*v. Let u(a) be the second derivative of y(a). Factor u(c).\nAnswer: c**3*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 22 = 3*b - 0*v, -3*b + v - 10 = 0. Let o be (-1 + b + 6)*1. Solve 4*m - m = -o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 6:34 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14287870 and -2?\nAnswer: 28575740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4066, -8395, -13042, -18007, -23290, -28891, -34810?\n\"Answer: -159*o**2 - 3852*o - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b + 6. Let a(c) = 14*c**2 - c. Calculate a(v(w)).\nAnswer: 896*w**2 - 1336*w + 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 2861, 9901, 23673, 46421, 80389?\nAnswer: 127821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/16267575 and -97\/227746050.\nAnswer: 227746050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x - 17. Let p be g(-11). Let w = 206 + p. Let d = 32 - 193\/6. Which is the closest to -4? (a) d (b) w (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - 5*z + 2 + 102, -4 = -m + 2*z for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2340 + 2337.054. Let k = -0.054 + p. Which is the nearest to -2? (a) k (b) 0.06 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 56*z**2 + 604*z - 203. What is s(-12)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243296773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 0.004 (c) 433 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 52794.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 806661.8 nanograms?\nAnswer: 0.0000000008066618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 353 + 74*r + 355 - 6*r**3 + 23*r**3 - 708 wrt r.\nAnswer: 102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - -94. Suppose -1 = 2*n + 1. Let g = 15 + n. What is the highest common factor of m and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-434)\/(-341)*60\/(-315)*(-6 + 3).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 71, 116, -184 in descending order.\nAnswer: 116, 71, -1, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17064669*p**2 + 51414922*p wrt p?\nAnswer: -34129338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -7) + (3 - (-12 + 5)) + -39 + 14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 42 = m - 2*m, 5*c - 135 = 5*m. What is the highest common factor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k**(-8))**23\/((k*k**(-2\/7))\/k*k**(2\/9)\/k*(k**2\/k)**(-19\/5)) assuming k is positive.\nAnswer: k**(23267\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135309 and 231817?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2211 by -201.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11282040 at most as big as -11282036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 + 1. Calculate t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 719392965 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49181 + -23659. Find the third derivative of x**6 - 3*x**2 - 1 + 24*x**2 + h*x**5 - 25453*x**5 wrt x.\nAnswer: 120*x**3 + 4140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*p - p + 4, -8 = 4*r. Suppose 2*l + 3*k = -l + 24, p = -l - 3*k + 14. Solve -7*i + l*i = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/377 (c) 6\/7 (d) 14.55 (e) -3 (f) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.033 from 15.\nAnswer: -9.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 + 13. Let y = k + -127. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -267 + 187. Let i = s + 34. Let g = i - -45.99999963. Round g to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 327063.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502999.\nAnswer: 71, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/((-33)\/(-30)))\/(-2). Which is the nearest to -1? (a) -4 (b) 0.25 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*n + 45*n + 3884 - 1184 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111069 is divided by 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31903 + -31895.0815. Let c = y - 7.9. What is c rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*3\/(-18)*(-18)\/63\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-nine halves of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -0.3, -1413, 7, 0, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1238788 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*48\/18 - 6. Solve p*i + i + 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9453, 18635, 27817, 36999, 46181, 55363?\nAnswer: 64545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 30 = -7*k. Suppose 29 = 4*a + 5*r, -9 = 5*a + 2*r - 24. Suppose -i = -a - 5. What is the highest common divisor of i and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351*w**2 + 1057*w**2 + 39 - 353*w**2 + w - 684*w**4 - 353*w**2 wrt w.\nAnswer: -8208*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 10. Let r be t(-7). Let m be (r\/(-3))\/((-6)\/28). Let h = -5 - m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4105534 (base 6) to base 11\nAnswer: -124023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.147937 minutes to seconds.\nAnswer: 128.87622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 615189371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*c + 75 = -2*t, -2*t + 12*c - 1223 = c - 1232 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*f + 67*f = 0. Suppose 42*i - 40*i - 150 = f. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-15) - 40\/(-8))*270\/12?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-510)\/(-4))\/3*((-6)\/55)\/(4020\/5896).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 679.003 + -679. Let l = 2859.303 + -2858. Let v = q - l. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123668961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11856228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -32*m**2 + 1117*m + 113. Determine j(35).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7685\/9 - -855. Let y = c - 61\/9. Which is greater: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 370?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/19 - 1888*f**4\/19 - 13022*f**3\/19 + 90880*f**2\/19 + 871328*f\/19 + 1679104\/19 = 0. Calculate f.\nAnswer: -937, -7, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(2\/(-4) - 0). Let k be ((-9)\/18)\/(1\/4). Let f be -8 - -5 - (1 + k). Which is the closest to f? (a) z (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2269*b**2 + 5*b. Let j be n(-2). Suppose -v = 5*c - j - 8431, -4*c = -5*v - 14015. What is c rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 - 3*d - 7. Let k = -120 + 124. Let a be w(k). Sort a, -2, 9, -5.\nAnswer: -5, a, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d + 9*d + 3*d + 3*d in the form s*d + b and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -8 - (-8 + (7 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7407.067 millilitres?\nAnswer: 7.407067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*m = 11*w - 14, m = -1. Solve -5*x - 3*t = -7*t + 7, -w*t + 14 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 10 in ascending order.\nAnswer: 0.5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 (base 10) in base 3?\nAnswer: 10000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/30*(-30)\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b + -54?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-150)\/(-20)))\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0*h + 8 - 2*h**2 + 14*h - h + 2*h. Let w be u(8). Suppose -2*i - 2546 + 8738 = -4*f, -3*i + 3*f + 9294 = w. Round i to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5. Let d(a) = -a. Let z(q) = d(q) + x(q). Let j(b) = -2*b + 7. Let c(k) = 7*k + 9. Let t be c(0). Suppose 84 = -3*v - t*v. Determine v*z(r) + 5*j(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 1, i: 2, p: 1, d: 1}. What is prob of picking 2 i, 1 p, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 6596.\nAnswer: 32980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-310)\/93)\/((-31020)\/(-198))?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5 + sqrt(833) + -1)**2*6*3 - ((-2 + 1*sqrt(833) + sqrt(833) + 1)*-6)**2).\nAnswer: -104701 + 2016*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/107 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12721.\nAnswer: 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 1 = 4*n, -11 = -n - 3*n - h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j*j*j)\/j**12*(j**(3\/5))**46 assuming j is positive.\nAnswer: j**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -460, -1623, -3880, -7585, -13092, -20755?\n\"Answer: -59*v**3 - 16*v**2 + 38*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d + 3. Let l be (-1 - -3)\/((-6)\/9). Let b be h(l). Suppose b - 6 = -3*t. Solve t*v = -c + 3*v + 4, -4*c + 3*v + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaf when three letters picked without replacement from fffaaaaa?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3135 - 3033 - (-4 - -29)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 2728730313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*b + 4 = b, 2*m - 12 = 3*b. Suppose 3*z = c, -2*z + 2*c + 5 = -z. Let s be 24*((-9)\/(-6) + z). Solve s = -0*u + m*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 times -4?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:15 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 396591343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 11) + -8 + 14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 4*u + 2. Let j be p(4). Suppose -2*v + 2*l = -l - 1, 22 = -4*v - j*l. Let m(i) = 3*i + 4. Determine m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -34, -37, -38?\n\"Answer: a**2 - 8*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 7*m + 4. Let s be h(4). Suppose -5*j = -s*j + 9. Suppose g - j = -2. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 13*v + 4*h = -38, -2*v + h = -27. Suppose -j - v*j + 30 = 0. Factor 1\/4*c**3 + 9\/4*c - 3\/2*c**j - 1.\nAnswer: (c - 4)*(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(3\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2. Let i be (2\/(-8))\/((-5)\/(-20)). Let k be (0\/i)\/(-4) - 1. Calculate c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 95 = 44*k - 1 - 7, -k + 27 = -2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50977, -50973, -50969?\n\"Answer: 4*x - 50981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4295*o + 4296*o, -2*y + o = y + 14. Solve 4\/3*u**2 - 4\/3*u**4 - 1\/3*u**5 + 4\/3*u + y - u**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**6\/s*s*s*s\/s**(-8)*s*(s*s**0)\/(s**(-2)*s) assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.85 + 1.95. Which is the biggest value? (a) m (b) 1\/4 (c) 1.8 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 6*t + 22. Suppose 0 = -7*n + 2*n - 45. Let l be w(n). Suppose 2*m + 3*j = l, -m + 3*j + 30 + 17 = 0. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = -5*o - 28, -2*o + 3*y - 15 = 0. Let n be (76\/o)\/((-3)\/(-4500)). Round n to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 12 = 6*o, -g = -5*o - 10 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -361772 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-6)*(-14)\/(-231)*57\/38.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193803607, -193803612, -193803619, -193803628, -193803639?\nAnswer: -193803652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (7 - (17 - (-4 + 11)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*i + 2 + 2 = 0, 0 = -d - 2*i + 10. Suppose -17 = -d*x - 2*l + 15, l = -2*x + 30. What is the remainder when 26 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40825.088 times 1?\nAnswer: -40825.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 5. Let t be r(7). Let v(g) = g**3 + 3*g**2 - 5*g + 3. Let o be v(-4). Let d = 12 - o. Solve -2*c + t = -d*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143 - (106 + -142)) + 13?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 1 + 1)*(-4*i - 3*i**2 + 2 - 1 + 0*i).\nAnswer: -6*i**3 - 8*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -7*y + 4*y. Let m(q) = 41*q**2 + 12*q**2 - 2*q - q - 3. What is the tens digit of m(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and 741.\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.4 + 2.45. Let b = -2089.02938 - -2089.97937919. Let f = b + j. Round f to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + c?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*m**2*q**2*r - b**2*m**2 - 133*b**2*m*r**3 - b*m**2*q**2*r**3 - 4*b*m**2*r**2 + 2*b*q - 2*m*q**2*r**2 wrt r?\nAnswer: -798*b**2*m - 6*b*m**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -14321, -2, 1, -0.1 in decreasing order.\nAnswer: 1, -0.1, -2, -14321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8604*k - 241 - 104 - 8588*k)*(-2*k**4 + 0*k**4 + k**4).\nAnswer: -16*k**5 + 345*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 332, 327, 320, 311, 300?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2 - 14276*s = 0.\nAnswer: 0, 3569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/23, 3, 7, 39, -5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:30 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 34, -6 in increasing order.\nAnswer: -8, -6, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k**2 + 2*k + 6. What is the units digit of d(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2343 + -2342.999992263. Round y to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/8*(-10)\/4. Is (-1 - p)*(-130)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 4*m - 5. Calculate s(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*i = -76, 0*i + 2*i + 669 = -5*t + 731 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -8*m + 12. Let o = 0.8 + 0.2. What is the second smallest value in m, -3\/8, o, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512539037.\nAnswer: 109, 197, 23869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/33 (b) 268909 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 327?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - 0) + (-10 - -29) + -21\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and 1699021.\nAnswer: -696598.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -22*r**3 + 2*r**2 + 7*r + 6. Let v be x(-2). Calculate the highest common divisor of 66 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001100010111111 (base 2) in base 9?\nAnswer: 448250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 3. Let u = -108 + 110. Suppose u*g + 4*a = 22, 10*g - a - 12 = 7*g. Solve 0*l = -g*m - o*l + 15, 3*l - 15 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325) + sqrt(1872) + 1)*2.\nAnswer: 10 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:49 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4149663?\nAnswer: 3, 7, 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99294 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -222, -0.10694, 1 in ascending order.\nAnswer: -222, -0.10694, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/30*15\/(-9). Suppose k - 6*k + h*k = 0. Let i(g) = g**3 - g**2 + 3*g + 155. What is the tens digit of i(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4575 divided by 3\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 5*b**3 + 3*b**2 - 7*b**2 to the form w*b**2 + u*b + v + p*b**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m - 12*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, r: 1, e: 5}. Give prob of picking 1 e and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4496*w**3 + 143*w**2 + 9*w. Let y(x) = 4496*x**3 - 141*x**2 - 7*x. Let o(a) = 2*b(a) + 3*y(a). Find the third derivative of o(r) wrt r.\nAnswer: 26976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by 56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37120037?\nAnswer: 37120037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14*o - 93. Let r be s(21). Let h = r + -168. Which is the fourth smallest value? (a) h (b) -4 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 432 = 7*p - 23*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p - 35*p - 275 = 0. Suppose 17*k - p*k = -54. Let b(y) = -y**2 - 6*y - 3. Calculate b(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-1 + 2 + 1)*(2 - 7 + 4)*(3 - 2*o - 3).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323964148 is divided by 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 83*c + 9198.\nAnswer: -(c - 63)*(c + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - s)*(0*s + 4*s - 2*s) + (26*s + 19*s + 0*s)*(-s - s + 4*s) + (0*s - s + 3*s)*(58*s - 5*s - 12*s) in the form t*s**2 + w + x*s and give t.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 258\/13946291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1607056522 - -14875.6.\nAnswer: -1607041646.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 13. Let u = 1\/462 + -929\/2310. Which is the closest to i? (a) -3 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*-1*(-9)\/15. Sort 7\/3, b, -2\/5 in increasing order.\nAnswer: -2\/5, 7\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/130 and -113\/153660.\nAnswer: 153660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g + 2. Suppose -2*k = k + 6. Let q be r(k). Let i be q\/2 - (1 - 4). Let m(l) = -l**3 + 5*l**2 + l + 1. What is m(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 20, -81*s + 5*m = -76*s - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (1 - (-4 + 2 - -7) - -3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.02, 5, 5\/3, 15?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2 + (-3)\/(-2)). Suppose 5*y = u*y - 2450. Suppose 9*g - y = 4*g. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**4\/6 - b. Let h(r) be the first derivative of 5*r**3\/3 + 200. Determine d(h(o)).\nAnswer: -50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 29 + 17 = 5*d + 76, -2*d - y = 4*y + 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 104*y**2 - 131*y - 7275. Determine p(102).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + 5*(sqrt(200) + sqrt(200)*-4))\/sqrt(5))\/((-5*sqrt(30)*3 + sqrt(30) - sqrt(30))\/sqrt(6))*-1)**2.\nAnswer: 1568\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(180)*-2)*-3 + (sqrt(245)*5 - sqrt(640)\/sqrt(2)).\nAnswer: 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411.32 rounded to the nearest ten?\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2176.6 - -2531. What is w rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15310823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789196.\nAnswer: 2, 31, 47, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748872951.\nAnswer: 3, 233, 1071349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3477 and 690.\nAnswer: 799710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbpibppppbbp. What is prob of picking 1 p and 1 i?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let m = 11 - 6. Let i = 1 - m. Let g be r(i). Let w(v) = 2*v + 4. What is w(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.9 + 0.9. Let q = 0 + a. Let d = 12 + q. What is the nearest to -2\/3 in -0.4, d, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 878168491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13693 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-3)\/(-6)*-4. Let r = v + 46. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 118.\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/176704 and 41\/235438?\nAnswer: 82874176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46000 or -45999?\nAnswer: -45999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 902 - 324 - 330 - 248.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 109 - 0)*((-752)\/(-32) - 18). Is 2966\/5 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-7) + (9 - (2 + 10))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 314700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m. Let p be n(-1). Let a = 19 - 24. Let y = -9 - a. What is the closest to 1 in y, -2\/9, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 352920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15206 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4200 and 1080?\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.25, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(2187)*-2)\/((-2*sqrt(99))\/sqrt(11)) + -3.\nAnswer: -19*sqrt(3)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152085656 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, 62, 174, 320, 494, 690, 902?\n\"Answer: -a**3 + 26*a**2 + a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 296 - 265. Suppose -3*g = -2*u - u + 3, 0 = -4*u - 5*g + t. Put 2, -3, u in ascending order.\nAnswer: -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-8) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {z: 2, c: 3, l: 1, p: 1, k: 1, g: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 8 - -17 - 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 8439?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 1:46 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9399183 is divided by 1758?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/19))**(-34))**(-25) assuming i is positive.\nAnswer: i**(3400\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.050187026 to 4 decimal places.\nAnswer: 0.0502","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 5791348361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 6, 6*u - u + 10 = 2*o. Suppose -1 - 1 = -r - d, -1 = r - 2*d. Put -2, r, o in increasing order.\nAnswer: -2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -1\/7*t**7 + 0*t**2 + 0*t - 81\/4*t**4 + 0*t**5 - 37 + t**3 + 0*t**6. Find the third derivative of g(l) wrt l.\nAnswer: -120*l**3 - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0113203 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4984, -2, 4, -3, -1 in descending order.\nAnswer: 5, 4, -1, -2, -3, -4984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -178902152 divided by 44725538\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4813 - -4813. Let x be (-34)\/6 - 2\/(-3). Which is the closest to o? (a) 1 (b) -0.03 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -45*r**3 + r**2. Determine z(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 1) + (-292)\/(-4). Let i = -43 + c. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.07908366.\nAnswer: -4.07908366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 + 17*v**2 + 21. Let u(o) = -o**2 - 2. Let z(p) = -a(p) - 4*u(p). List the prime factors of z(6).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 3, -0.006, -0.3, 74\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 44. Differentiate 19*s**3 - 1 - y*s**3 + 5 + 0 with respect to s.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 141*k**2 + 9779*k + 254. Calculate b(192).\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 3.3. Let n = 30.72 - 26.3. Let l = -0.58 - n. Which is the third smallest value? (a) 0.2 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141.9 - -142. Let g = -0.1 - -0.2. Let d = g - -0.9. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/2)\/x))**(-4\/7))**(-25)\/(x\/((x*x**(3\/7)\/x)\/x)*x*x**(-8))**(33\/7) assuming x is positive.\nAnswer: x**(2304\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 7*v + 2. Let y be n(-7). Solve -5*b = q + 25, y*b + 1 = 3*q - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n + 9. Let w(c) = 5*c + 5. Let l(o) = -4*m(o) + 7*w(o). Let q = -4 + 1. Is l(q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3835 and 358675.\nAnswer: 275103725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 12*u**2 - 24*u - 32. List the prime factors of y(-18).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5555041 to the nearest integer?\nAnswer: 2357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 2, e: 6, q: 2}. What is prob of picking 1 q and 2 o?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (4*sqrt(539))**2) + sqrt(11))*-1.\nAnswer: -8*sqrt(11) + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/44)\/5*20\/(-5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*d + 1888*d + 103729 = -105766 for d.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11096 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 3*m**3 - 7 - 2*m**3 - m - 2*m**2 to d*m + i*m**3 + p + a*m**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 32 + 392 = 0. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-10) - 40\/(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 682126455*i + 395299438.\nAnswer: 682126455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/(-3186)*6*(-36)\/3*(-12)\/1960?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/((-14)\/(-7)))\/1. Suppose -4*g + 187 = 3*z - 13, l = 3*g - 4*z - 175. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142841 is divided by 7142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131010544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2773, -11444, -26023, -46510, -72905, -105208, -143419?\nAnswer: -187538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/3, 0.3, 2\/51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2, 4, -75484, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-10))**(-13) assuming n is positive.\nAnswer: n**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-168))\/(2\/(-24))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 7 = c. Does 25 divide (-74)\/(-3) + (49\/21 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - c**2 - 30*c - 14. Let o be q(-4). Let t(v) = -v**3 + 32*v**2 - 35*v + 17. Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 23799 - 23809 + 47655. Determine x(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 + 20*v**2 - 8. Determine w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 53*a**3\/3 - 3*a**2\/2 - 3*a - 2. Suppose 32 - 38 = 3*h + l, -5*h + 4*l = 10. Is g(h) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 498*d**2 + d. Let h(o) = -19*o - 8. Let b(p) = -52*p - 22. Let k(s) = -4*b(s) + 11*h(s). What is k(u(r))?\nAnswer: -498*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**2 + c. Let y(j) = 3474613 - 2*j**2 - j + j - 3474613. Give y(z(r)).\nAnswer: -128*r**4 + 32*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.91? (a) 5 (b) -2 (c) 3\/20 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 782495713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*-2*285\/152. Let j = -54 + 53.9. Which is the closest to 2\/3? (a) f (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 7. Let d be c(-5). Suppose -5 = -5*q + 5*b, 4*q - 1 = 9*q + b. Suppose q*m + 168 = 3*m. What is the greatest common factor of m and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiwideeiiiihhhi. Give prob of picking 1 w, 1 d, and 1 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*b - 3*b. Let g be (b\/(-10))\/(4\/6980). Suppose -n = -3*x + 201, -2*x + 3*n = -7*x + g. What is the greatest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4879601, -9759158, -14638715, -19518272?\nAnswer: -24397829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i - 4. Calculate c(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*(0 + 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33760157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 96. Suppose 0*d = -4*d + 4*a + g, 0 = -3*d - a + 26. Suppose -3*b + 4*q - d = 0, b = -b + 5*q - 17. Solve l - b*l + 9 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -11*c + 9*c. Calculate the greatest common factor of c and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, h: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3423 + 652. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-63)*3\/2*21*2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-i - 4*i + 10*i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 1151.\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 44*j\/5 - 242\/5.\nAnswer: -2*(j - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2679448 = -26*s - 2*s + 20*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42.1 + 38. Let p = -6 - -10. Let n = v + p. What is the third smallest value in -1\/4, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 11) + -8 + -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7575501015 to the nearest integer?\nAnswer: 87037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26171 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + -0.6. Let t = -1.9 - -2.3. Which is the closest to 2\/3? (a) i (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37 - 78 + 4*w + 52 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 11*u - 3. Let q be n(7). Let f = q + 22. Let b be f\/6*1*-2. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2012 + 340433?\nAnswer: 343000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.061232 * -11\nAnswer: -0.673552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 6:05 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_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: Let k = -13856 - -26347. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25767 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 854 and 144214?\nAnswer: 8797054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4767, 18118, 40139, 70824, 110167, 158162, 214803, 280084?\n\"Answer: -j**3 + 4341*j**2 + 335*j + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 23. Let g(y) = 68*y**2 + y. Let s be g(p). Let t = s - 52. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-77)\/(-98) - 2\/7. Let k be ((-5)\/(-70))\/(2\/16). Which is the nearest to z? (a) k (b) 5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53919 (base 14) to base 15\nAnswer: -3ed34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8837 - -9008. Calculate the greatest common factor of z and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 51. Suppose -546*o + 530*o - 224 = 0. Determine p(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9158 - -13147. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 1. Let a(n) = -5*n**2 - 2*n + 6. Let k(j) = -a(j) - 6*x(j). Let h be k(4). Let i = -12 - h. Let m(r) = -2*r - 3. Determine m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s**2 - 2*s + 3\/2.\nAnswer: (s - 3)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((567\/(-18))\/(-7))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 4*q + q)*(-q**2 - 3*q**2 + 2*q**2) - 4*q**3 + 2*q**3 + 3*q**3 + 141*q**3 - 117*q**3 + 214*q**3.\nAnswer: 235*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, z: 1, g: 1, w: 1, d: 2}. What is prob of sequence wdg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let h be z(3). Let f = 1.9516 - -0.0484. Which is the biggest value? (a) 5 (b) f (c) -0.7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -28. Let w be 9807\/n + (-4)\/(-48)*3. Suppose -4*s + 3*s = -5*r - w, -2*r - 4880 = -2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}