diff --git "a/data/dm_maths/full_data_1/1838_11255.jsonl" "b/data/dm_maths/full_data_1/1838_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1838_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 599 minutes after 5:30 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -78. Let v be (2\/s - (-44)\/36) + 47. What is the greatest common divisor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 45716 = 3*d, d - 9144 = -n + 2*n. Does 28 divide n\/(-56) - 6\/(-8)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 3 (c) 212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 7*r = -19630. List the prime factors of r.\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 21, 32, 41?\n\"Answer: -z**2 + 16*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z. Let h(j) = -10*j**2 + 15184197. Determine w(h(k)).\nAnswer: -30*k**2 + 45552591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, i: 1, h: 1, f: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27890 - 18343. Suppose -5*b + v = 1982. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-105)\/63 - ((-2715564)\/(-9) - 1). What is f rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 14*a**2 - 293 + 32*a**2 - 65 - 15*a**2.\nAnswer: -2*a**2 - 358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2507051363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 487, 1094, 1945, 3040, 4379, 5962?\nAnswer: 7789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2367\/(-26826)*(-289)\/(-3)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/14 + (-52)\/91. Suppose -3*h + 15 = 0, -10 = 5*b + 6*h - 7*h. Sort b, k, 0, -5 in descending order.\nAnswer: 0, b, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 2092.\nAnswer: 9\/2092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 98 = 4*g, q + 5*g = -4*q - 80. Let f be (20\/(-15))\/(4\/q). Let b be ((-4)\/14)\/(-6 + (-41)\/(-7)). Solve b = -2*o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 517116, 1034230, 1551344, 2068458, 2585572, 3102686?\n\"Answer: 517114*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*q + 5, -q + 3*q = -4*g + 2. Let r = -0.22 + 0.02. Let z = r - -3.2. Are q and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 8)*(-f**3 - 3*f**3 + 2*f**3) + (3*f**2 - 80 + 80)*(f - 3*f + 0*f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2171070 to the nearest ten thousand.\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 122*r**2 + 138*r - 5. Let k(u) = 16*u + 16*u + 8*u - 1 + 60*u**2 + 29*u - 2. Let s(b) = -5*k(b) + 3*p(b). Find w, given that s(w) = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -0.025?\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 17*q + 16. Let p be j(-18). Let t be p*-2*(-2 - -3). Suppose 15 = 3*b, -3*u - t*b + 253 = -139. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 25*r - 49. Solve -r*v - 3*j = -21, 2*v - 1 = v + j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6370 and 109\/472654.\nAnswer: 2363270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39203 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 738*s**2 + 2*s + 738.\nAnswer: -2*(s - 1)*(s + 1)*(s + 369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*y + 1409 = 70 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3 + 3 + 33\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, -2\/19, 4, -8, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5))\/((-2)\/(-220)*2). Let w(a) = a**2 - 22*a + 16. Does 8 divide w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -267, -535, -803, -1071?\n\"Answer: -268*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4091, -8381, -12651, -16889, -21083, -25221?\nAnswer: -29291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 19*r - 3. Let i(l) = -13*l + 2. Determine -5*g(k) - 8*i(k).\nAnswer: 9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 1995503 - 1643061 = -2692860. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318109083?\nAnswer: 3, 17, 61, 102253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = 5*a, -w - 7 - 11 = 4*a. Let q = -6 + 8. Let p(r) = -r**q + 13 - 7 - 6*r + 2*r. Give p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -22, -27, -30, -31, -30, -27?\n\"Answer: o**2 - 10*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*q = 3*r - 34, -4*r = -2*q - 20. Solve -18 = -4*c - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, q: 1, b: 3}. What is prob of sequence qbpp?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/18*(-2 + -31). Let x = 7 + f. Which is bigger: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/73 + 124\/803. Put w, -0.2, 5 in decreasing order.\nAnswer: 5, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1647632*b**2*q**3 + 1806979*b*q**3 wrt b.\nAnswer: 3295264*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (188\/2)\/(10 - 12). Let j = y + 78. Let w = j - 44. What is w rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 497144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (10374\/(-2596) + (-6)\/(-15)*15) and -13\/413?\nAnswer: 9086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -15, -2, -3.\nAnswer: -15, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*-371157\nAnswer: 1113471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -74 + 2 + 69?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23*s + 201. What is g(-12)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4 + 229*q**3 - 41*q**2 + 7*q wrt q.\nAnswer: 24*q + 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 - -232. What is the closest to 0.1 in l, 3, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 607 - 606.9201. Round f to three dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -335\/7, 3.7, -28.8 in increasing order.\nAnswer: -335\/7, -28.8, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.73 - -0.61647.\nAnswer: 17.34647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-23))\/q*q**(1\/45)*q)\/(q**(21\/4)*q\/(q\/((q*q**(-40)*q)\/q))) assuming q is positive.\nAnswer: q**(10399\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -343321224 divided by 1546492\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2632*z = 2646*z + 70 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) 0.00369 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57909337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 175478907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**(-41)*(c\/c**(-2\/19))\/c**(-2\/9) assuming c is positive.\nAnswer: c**(227\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1351\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-three quarters of a week?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11674181.\nAnswer: 137, 85213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5971996 by 10741.\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4171237 and 11277?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 697\/266 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2)*4\/5)\/((2142\/(-105))\/(-51))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83*847\nAnswer: 70301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46669 and 4543?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164109.6677 rounded to the nearest 1000?\nAnswer: 164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 2021.\nAnswer: -30\/2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2114*o + 2117*o - 15. Solve -o*v = -3*j + 28, -5*j = -2*v - 0 - 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 1298.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**6\/30 + 19*c**5\/15 - 3*c**4 + 2*c**2 - 529. Determine o, given that b(o) = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1997 or 0.638?\nAnswer: 0.638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*6.6.\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 - -10)\/(1\/(-2)). Suppose 2*m - u = 9*m. Suppose 97 = -0*g - 3*g - y, -4*y = 3*g + 82. Sort m, g, 0, 4.\nAnswer: g, m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let r(q) = -23*q - 20. Suppose 26 = -2*b + 38. Let l(v) = b*f(v) - r(v). Find the first derivative of l(d) wrt d.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -100, 8, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 32. Suppose -2*g + 40 = 4*k, 0*k + 4*k - 4*g - y = 0. Factor 8*m + 2*m**3 + 0 - k*m**2 + 0.\nAnswer: 2*m*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1225a + 1?\nAnswer: -12259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/sqrt(3))\/sqrt(3) + 4 + (sqrt(11)*-1)**2)*5*-5.\nAnswer: -375 - 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*y - 5*y - 9, 98*y - t + 1 = 103*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 5*o + 20, 3*o = 4*v - 12. Suppose -j - 4*r = 0, -2*j + r - 3 + 21 = v. Suppose -3 = 2*h - 7. Calculate the least common multiple of j and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -2\/7, -116\/81, -19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 4*o + 7. Calculate v(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 276*u**2 + 12*u - 9. Let z(t) = -279*t**2 - 16*t + 10. Calculate -4*n(i) - 3*z(i).\nAnswer: -267*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**4\/2 - 159*f**3\/2 + 405*f**2 - 432*f - 192 = 0.\nAnswer: -1\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -478.9 + 478.3. What is the nearest to -1 in 4\/11, j, -0.12, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 9*s - 10. Suppose 5*d + 43 = 5*n - 3*n, 0 = -5*d - 2*n - 27. What is the hundreds digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 282*m - 135*m + 363*m)*(-6*m + 0*m + 2*m) to r*m**2 + v + g*m and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.295196 * -7.\nAnswer: -23.066372","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/(120\/12) + 5\/(-10)*0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 = -0*p. Let k = 26 - p. Solve -5*n + k = o, -2*n - 5*o - 7 = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -15. List the prime factors of (-18)\/6 + (y - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -3. Calculate the smallest common multiple of (-44)\/(-8) + 2\/w and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*f*n**2 + 4*f*n - 3*f - 60*n**2 + 540 wrt f?\nAnswer: 97*n**2 + 4*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19294 and -5.\nAnswer: 96470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -55. Suppose 0 = 3*l - 4*m - 3, -2*l - 3*m + 7*m = f. Suppose 4*t - 2*s - 190 = -0*t, -l*s = 2*t - 125. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34197654.\nAnswer: 2, 3, 5699609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one eighths of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 72 = -96. Let g(r) = -r**3 + 2*r**2 + r + 7. Calculate g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:11 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 5. Determine s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15578 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -5\/6*v**3 + 0 - 4*v + 0*v**2. Let o(u) = -6 - 7 - 2*u + 13. Determine q(o(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1 - 65\/25. What is the nearest to w in 0.6, 3, 1, 0.13?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 12392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/4283 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -30. Let o be (4 - d\/(-9))*-1. Which is the second biggest value? (a) o (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/145295 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 11000?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v - 6. Let s be z(-6). Let o = -7 + s. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11423 (base 14) to base 13.\nAnswer: 1614b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c - 38. Let o be h(4). Solve -a = -5*p - 0*p, 5*p - 5 = o*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/25 + 76\/160. Which is the closest to -0.2? (a) -2 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 + 2*39. Suppose 100 + k = 2*q. What is the remainder when (q\/20)\/((-1)\/(-5)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697 = -2*z - 19*g - 376, 4*z - 300*g - 18 = -297*g - 205 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-12)\/(-4))\/(-2). Calculate the common denominator of (-4 - (-144)\/14) + s and 42\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/724 + 11579\/3620. Let t be (1*-3)\/((-2)\/(-18)). Find the common denominator of 53\/t*(2 + -5) and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -184149 not equal to -3867130\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47874649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*p - 20 = 0, 0*p = -5*j - 2*p - 40. What is the common denominator of 101\/22 and 915\/(-200) + (-2)\/j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 13 - y - 2*y**2.\nAnswer: -2*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -6. Suppose -z + 4 + n = 0. Calculate the remainder when 26 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970501 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 + 204*w + 17. Let p be u(-41). Solve 34*g = 5*g - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161372.\nAnswer: 2, 40343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(-1\/18))\/k)\/(k\/k**(-5))*((k*k**(-1\/5)*k)\/k)\/(k*k**(-2\/7)) assuming k is positive.\nAnswer: k**(-3131\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 834*v - 815*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 30 + 7 + 143 + 336)*(-6*x**5 + 2*x**5 + 7*x**5).\nAnswer: 1392*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - -6) + (2 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 5 = -3*x, 5*q = -20. Suppose -3*s + 36 = x*k - 2*k, 5*s - 60 = -5*k. What is the remainder when 20 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*k - u, 5*k = -0*k + 2*u + 16. Suppose -4*a + k*c = -246 + 648, 2*a + c = -211. Let s = a + 160. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 - 18*m**4 + 129*m**3\/2 - 115*m**2 + 102*m - 36.\nAnswer: (m - 2)**3*(2*m - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/14 + -1 + 3. Solve -5*r + 11 = 3*j, -3*j + 1 = -o*r + 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100754579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.43 - -1.43. Are -187 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/9, 1\/422, -9, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*-15*-2. Let w be 2\/8 - r\/(-28). What is the third smallest value in w, 1\/8, -3\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141571256*f**2 - 229886659 wrt f?\nAnswer: -283142512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 43819615.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 4*p + 4*p. Let c(n) = -2*n**2 - 16*n**2 + 84518*n - 42262*n - 42256*n. Determine c(s(i)).\nAnswer: -1800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + -1 + 0 + (((sqrt(363) + 1)*-5)**2 - sqrt(363) - sqrt(363)).\nAnswer: 539*sqrt(3) + 9099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 891\/891 + (-4)\/6. Let s = 0 - -0.1. Let l = s + 0. What is the nearest to o in l, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2878 + -1487. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uor when three letters picked without replacement from {u: 2, r: 11, k: 1, o: 5}.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2 + 2)*(-11 + 2 - 2)*(-2*d + 0 + 0).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5679 (b) 7 (c) 0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170048 is divided by 10624?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 plus 2511331719371?\nAnswer: 2511331719359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olol when four letters picked without replacement from {e: 4, o: 4, l: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-30)\/(-8))\/((-10)\/(-31880)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-63)\/(-21)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10990 - 3\nAnswer: -10993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -7, 3, -4\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 7. Let v(f) = -2*f - 45332. Determine v(p(k)).\nAnswer: 8*k**2 - 45318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = 50. Let r(g) = g**3 + 5*g**2 + 3. Let w be r(-5). Suppose -9 = -2*c + 5*c - 5*l, 0 = -w*c + 2*l. Solve i = -4*a - c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2473010 >= -2473014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263795705?\nAnswer: 5, 167, 431, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 34. Suppose -4*l - 802 = -v*p - 2*l, 0 = 3*p + 5*l - 582. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20207 and 19778?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(324) + sqrt(324) + sqrt(4))\/(sqrt(16)\/(2*sqrt(8) - sqrt(8))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Which is the second biggest value? (a) -0.5 (b) x (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**5\/120 + i**4\/8 + 4*i**3 - 13. Let u(c) be the third derivative of f(c). Determine u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 55164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.856*8162\nAnswer: 6986.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14308720 and 2682885.\nAnswer: 42926160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4156 to 2 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21.2 * 8\nAnswer: 169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 11*g - 407. Suppose -2*f = -2*l - 20, 5*f + 3*l - 80 = -2*l. What is the remainder when g is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20192 and 91\/1612836.\nAnswer: 12902688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12254 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -11\/20*v**5 + 0*v**2 + 0*v**4 - 8*v + v**3 + 0. What is the second derivative of o(j) wrt j?\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 5*m + 3. Let a(n) = -n**2 - n + 1. What is 5*a(y) - q(y)?\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 18*t + 377 - 441, 4*t = -4*v + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(-63)\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -5 - 7 - (4 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - 5 - (0 - 1). Let b(d) = d. What is b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174 and 2.4?\nAnswer: 417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by 96.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/27)*r**(3\/10))\/(r*((r*r*r*r\/((r**7*r)\/r))\/r*r)\/r*r*r**(1\/14)) assuming r is positive.\nAnswer: r**(3121\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 182. Let i be h(0). Suppose -k = k - i. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 578 - 565. Let s be z + (-1)\/(-2 - 15\/(-5)). Calculate the greatest common factor of 186 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/4 + 5*f**3\/3 - f**2 - 5*f + 12. Calculate the remainder when m(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 92 - 4. Suppose -r + 2*r = -f*h + 22, -20 = -5*h. Solve -2 = -w + n - 0*n, r = 3*w + 3*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p - 10. Suppose 14*r - 143 = -59. Let k be r*(-42)\/(-108)*-3. What is q(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2, 0 in decreasing order.\nAnswer: 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*s*v - 2*i**3 + 2*i*s*v - 2*i + 2*s + 1 wrt i.\nAnswer: -6*i*s*v - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) 6388 (c) -17 (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 3*y**4 - 3*y**4 + (y**4 + 0*y**4 - 3*y**4)*(0 - 1 + 2) - y**3 + y**3 + y**4 - 2*y**2 + 2*y**2 + 2*y**4.\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-180)\/8) + 1*(1 + -1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -784 - -511. Let h = -130 - v. Let s = 142.9 - h. Are s and 15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 285 = -v, -3*v + 82*m - 87*m + 771 = 0. Sort -1, 5, v in ascending order.\nAnswer: -1, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 40*q - 1056.\nAnswer: 4*(q - 22)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2245*c**3*q**4 - 16*c**3*q**2 + 13509*c**3*q + 8*c*q**5 wrt q?\nAnswer: -53880*c**3*q + 480*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v + 34 = 0. Let r = -15 + v. Is 2694\/10 + r\/80 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 + 4051\/27. Do g and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71319 * 0.5.\nAnswer: -35659.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-8)*(-4)\/3. Let h(m) = -m**2 + 4*m**l - 5*m**2 + 3*m**2. Let k(b) = -10*b. Calculate k(h(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 13. Is (t\/(-9))\/(1\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*y**2 + 17*y**2 + 8*y**3)*(112 - 112 - 15*y)*(-3*y - y + 3*y + (1 - 1 + y)*(2 - 2 - 2) - y + 0 + 0).\nAnswer: 480*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 - 2*w**3 - w**2 + w - 1 + w**4 + 3*w**2 as d*w**2 + y + j*w**4 + b*w + r*w**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2176912 (base 10) to base 11\nAnswer: 1257601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 341686 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 32\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -f + 28. Let l = f + 47. Let u = l + -77. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 1\/5 (b) -0.0654 (c) 8 (d) 4 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 0.08, -213477, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*h**0)\/h))**(-1\/2)\/(h**0*h*h\/(h*(h*h\/(h*((h**(1\/2)\/h)\/h)\/h))\/h*h)) assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -104786306\nAnswer: -3\/104786306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 + 17*q**2 - 8*q**3 - q**2 - 4 + 16 - 29*q. Let z be f(14). Sort -6, z, -1, -5.\nAnswer: -6, -5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 350 = -9*k. Let b be ((-4)\/5)\/(4\/k). Suppose -3*s - 5*u = -30 - b, 2*u = 2. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 3. Let h be w(3). Suppose -27 + 61 = 2*b. Let o = b - h. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a tonne in kilograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*w**2 + 2*w**2 + 3*w**2)*(1 + 5 - 11)*(-2 - 2 - 3) as k + d*w + p*w**2 and give p.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91675 = -42*t + 145709 - 28602. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*s - 315 + 83, -3*w = -s - 184. Let z = -49 + w. Find the third derivative of -10*v - v + 11*v + z*v**2 + 17*v**3 wrt v.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0.06986028\nAnswer: 4.06986028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90408 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80029, -317904, -714363, -1269406, -1983033?\n\"Answer: -79292*n**2 + n - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29173?\nAnswer: 29173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m**2 - 142 + 5 - 34*m**3 + 19*m**2 + 28*m**3 - 39*m**2 to the form b*m**2 + l + h*m + w*m**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 34. What is the biggest value in h, -3, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 33*m**7\/70 + m**5\/60 + 314*m**3\/3 + 30*m**2. Find the first derivative of i(b) wrt b.\nAnswer: 396*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 16 (b) 0.5 (c) 0.3 (d) 0 (e) 0.685\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 84 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-1) + (-39010)\/(-1494))*111.\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koko when four letters picked without replacement from {o: 4, k: 5, v: 7}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(2 + 3) + 0. Let d = -273 + 277. Let l = -10 - -6. Sort d, 11, y, l.\nAnswer: l, y, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(116\/30 - 4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l**3 + 3 - l**2 + l**3 - 4. Let v be w(2). Is v < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.2, -1\/9, -19, 0.06?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(270)*-2 - sqrt(270)*-3*4)\/(5*(1*(-1*sqrt(490) - sqrt(490) - sqrt(490)) - sqrt(490))).\nAnswer: -18*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*j + 5. Suppose 15 = 3*u - 3*y, u - 65*y + 13 = -70*y. Solve u*m + 2 = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 605634480?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453274895 divided by -5.\nAnswer: 90654979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4653, 2421, 211, -1965, -4095, -6167, -8169?\nAnswer: -10089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3435 + 3544 - 10410 + 3431 - 7*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67204 divided by 53.\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -134 * 6.232\nAnswer: -835.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 35*m - 163. Determine t(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 - 62*k**2 - 1732*k - 8400 = 0 for k.\nAnswer: -12, -7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q + 3. What is g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*s**4 - 11*s**4 + 2*s**4 + 5*s**3 + 21*s**4 + s**4 in the form r + y*s**3 + q*s + a*s**2 + n*s**4 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 + 15\/12. Suppose 7 = o + v. Let k be (4 - 3)*(4 - (o - 1)). What is the nearest to 0.1 in k, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.68441 rounded to 1 dp?\nAnswer: 297.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/228 and -50\/21.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5882 + -0.19798?\nAnswer: 5881.80202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488 take away 504657002?\nAnswer: -504653514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 182\/4503 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(171) + sqrt(171))*-1)\/(1*(sqrt(900) - sqrt(900)*2)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19507874.\nAnswer: 2, 17, 573761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5\/2 + 51*w**4 - 561*w**3\/2 + 462*w**2 - 234*w = 0. What is w?\nAnswer: -39, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21811, 21810, 21809?\nAnswer: 21808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**6 + h**5 + h**4 - h**2. Let p(k) = 8*k**6 + 6*k**5 + 6*k**4 - 11*k**2. Let o(x) = 6*l(x) - p(x). Find the third derivative of o(m) wrt m.\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:58 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8276?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 6*t**2 + t - 5. Let j be q(6). Let u be (6\/(-8))\/(j\/(-4)). Let g = 5 + -2. Solve -u*i + 0 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 73.69464 nanometers?\nAnswer: 0.07369464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 7 = -5*l. Suppose l*h - 11*h = -15. Find the second derivative of -12*w + 5*w**3 + 7*w**h + 31 - 31 wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.4 (c) -0.2 (d) -472\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -341166 + 11?\nAnswer: -341155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*l - 26 = 4, 2*l = 5*j + 37. Let c = j + 19. Suppose -193*i = -189*i - w - 22, -5*w = 3*i - 28. Solve i*f = 3*f - c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1569250624 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -133. Is (-1)\/(-3) - ((-101500)\/g)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 + -2 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13423000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*j + 3*g + 2, 3*j - 2*g - 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3800 = 9*m + m. Suppose j - 4*x - m = 0, 5*j - 1804 = -4*x + 144. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 4*u + 4. Suppose 0 = -3*q - 5 - 1. Does 6 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, -5, 0.\nAnswer: -5, 0, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:50 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-87)\/(-33) - (-304)\/836. Is 1675 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -51. Let s(w) = w**2 - w + 60. Let c be s(0). What is the greatest common factor of n and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 1. Let s be x(1). Let d = -19 + 31. Suppose 3*n - 12 = -3*m, -4*m + d = n - 1. Sort m, 0, s in decreasing order.\nAnswer: m, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 6. Let j be (3 - f\/(-2))*20. What are the prime factors of (-2 + j)*1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l - 4*l - 4*l)*(l**2 - 3*l**2 + 5*l**2) + (-2*l**2 + 3*l**2 - 3*l**2)*(2679*l + 2701*l - 5341*l) in the form f*l**3 + m*l**2 + z*l + u and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 7. Let s be j(-6). Which is the closest to s? (a) -1\/5 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*k - 64*k - 1 + 139*k - 11*k**2 + 2*k**3 to the form y*k + r + g*k**3 + n*k**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(847)*2*-6 - ((sqrt(847) - (sqrt(847) + 0)) + 4)))*2 + 3.\nAnswer: -264*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 10*x**2 + 10*x - 4. Let z be k(-6). Solve 0 = z*g - 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 15. Let w = 226 - 1572\/7. Calculate the common denominator of w and 3 + a - (-39)\/(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-6 + (-21 - -3) - (-10 + 19)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -300, -295, -288, -279?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 + -51?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 - 45 - 33 - 466)*(2 - l + 1 + 0) in the form q + x*l and give x.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/22753 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1936311.4 and 0.3?\nAnswer: 580893.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 24*p - 115. What is l(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -32 + -12 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.054070555 from -0.095.\nAnswer: -0.149070555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -0.5, -3, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose -4 = c - w*c. Let d(t) = 3*t**3 - 2*t**2 - 1. Is 15 a factor of d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1271*l**2 + 1680*l**2 + 1611*l**2 + l - 4924*l**2.\nAnswer: -362*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22*1 + -10 + 8. Suppose 0 = 2*c - 4*f - n, 5 + 4 = c - 3*f. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -4*k + 2*v, 878 = k + v + 905. What is the nearest to -1 in -2\/7, 5, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 84*s + 150. Determine n(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 111, 177, 245, 315?\n\"Answer: t**2 + 63*t + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 76. Let k(r) = r**3 - 7*r**2 + 2*r - 17. Let j be k(t). Let v = j - -136. Is 34 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010111011100011000 - 1001010?\nAnswer: 11000010111011011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092668301 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049109 is divided by 338.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 24*f - 1655570. Let s = f - -558886. What is s rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -4. Let h be (5 + -24)*(-1 + m). Suppose 2*c + f - 76 = 33, c = 2*f + h. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -273 and -2.12.\nAnswer: 578.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 13*h + 82. Let r be p(11). Solve -65*f = -r*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -737*q**2 - 14?\nAnswer: -1474*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Let t = -82897\/5 - -16759. Let y = t - 180. What is the third biggest value in 6, 2, y, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = 4*y. What is the remainder when 3*((-320)\/(-12) + -3) is divided by (6 + 2)\/y*-6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j. What is the third derivative of 3*d**2 - 2*d**4 + j*d**2 + 7*d**4 wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*a - 5*a + 23, 4*r + 20 = 2*a. Suppose c + a*q + 4 = 13*q, -3*c = -4*q - 27. Solve -2*p - c = 2*u - 3, -p - 4 = 4*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*k = -210*k + 4. What is the least common multiple of 11303 and k?\nAnswer: 11303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9311*a - 6615 = -9783*a + 5185 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0 + 3, 3*v = -4*h + 3. Suppose -2*l - 4*y = -h*l + 6, -4*l = y - 9. Solve -l*f - 20 = -g, 15 = -g - 5*f + f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1505 (b) 2\/15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*d + 18, 0 = -2*u - 3*d + 6*d - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8758707 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9738 + -9740. Which is the third smallest value? (a) n (b) -0.2 (c) 6 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 15*l**2 + 9*l - 47. What is c(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(320) + ((sqrt(5) + 0)*-5)**2.\nAnswer: 8*sqrt(5) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69372, -69370, -69368?\nAnswer: -69366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(4\/(-1))*-1. Let z be (0 - (h - -2))\/(-3). Solve z = -2*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 7*k**2 + 14. Let n be j(7). Suppose 3*v + 2*l + 0*l = n, 3*v + 14 = 5*l. Calculate the remainder when 16 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjiaimmmxaxx. What is prob of sequence xi?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-455)\/91*-1*8\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 13*g + 16. Let j(n) = n**3 - 8*n**2 + 12*n + 1. Let f be j(5). Let r be o(f). Suppose -y + r = -22. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 31 = -7. Let o(w) = -w + 6. Determine o(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 3*w - 5*c, 0 = 2*w + c + c - 182. Suppose -8*z + w = -51. Suppose z*d + 192 = 24*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 8, 24 + 4 = 2*v - u. Suppose -41 = 3*l - 2*q, 5*l + 4*q = -45 - v. Let t = 20 + l. What is the greatest common divisor of t and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -1510*j**3 - 879. Let p(l) = 9*l**3 - 2. Let u(b) = k(b) + 3*p(b). Differentiate u(r) wrt r.\nAnswer: -4449*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -d39440 (base 14) to base 4\nAnswer: -123031111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1610 + -896778297.\nAnswer: -896779907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*g + 4, 3*g + 13 = -f - g. Solve 2*o + f = o - 4*j, 2*j + 29 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1352912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2480.622?\nAnswer: 2477.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 25758656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 950\/(-31) + -4. Let b = -9\/62 - r. Find the common denominator of b and 1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9954980*n**4 + 15*n**2 - 655*n + 112.\nAnswer: 238919520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-21))\/((-210)\/196)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -212630000 to the nearest one million.\nAnswer: -213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14947 is divided by 14836?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkkpppppmpkpkppkppk. Give prob of picking 2 k.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -18*x - 9. What is h(3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -708, -819, -928, -1035?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-93)\/6)\/(6\/(-4) + 1). Solve -d + q = 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 3, 0.156, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 = -10*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*p = -154, 2*p - p = 5*t - 185. Let l(x) = -x - 13. Let g be l(-8). Let i = t + g. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c - 2*s = -9, 2*c - 3*s + 10 = 0. Let a(f) = -4*f - 2*f**2 + 4*f**2 + c + 0 - f**2. Calculate a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1345*w**3 + 6*w**2 - 4*w - 10. Is m(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -27) + (-613 - -582)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 1112, 2634, 4778, 7550, 10956, 15002, 19694?\nAnswer: 25038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 21. Let k be a(7). Let j(t) be the second derivative of 2*t + k*t**2 - 1\/20*t**5 + 1\/12*t**4 + 0*t**3 + 0. Factor j(i).\nAnswer: -i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90390 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58374 divided by 6486?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**6\/3 - 7*w**3\/6 + 12*w. What is the second derivative of v(q) wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from {o: 2, q: 2, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -18 - 10*f - 27 + 60. Let h be b(1). Solve -5*j - 33 = -2*n, -3*n - 2*n - h = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 2, w: 1}. What is prob of picking 1 w and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138342177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 915*p + 2968*p - 1460*p + 1161*p.\nAnswer: 3584*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/210785975 and -67\/1275?\nAnswer: 632357925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5\/9 + 25*l**4\/9 + 18*l**3 - 96*l = 0.\nAnswer: -12, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 35. Calculate y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 79, 97, 115, 133, 151?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 13*m + 9. Let b be s(-6). Solve b*c - 5*w = -3*w - 3, -6 = -3*c + 5*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(f*(f*f\/f**(-1))\/f)*f))\/(f\/(f\/f**(-9))*f))\/(f\/((f\/(f\/(f*f\/(f\/f**(-1\/13))*f))*f)\/f*f*f)*f**7*f))**(-48) assuming f is positive.\nAnswer: f**(-2448\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2302, -6 in descending order.\nAnswer: 1, -6, -2302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 1. Suppose 5*c - 2*x - 2 + 26 = 0, 3*c - 5*x = -3. Let l be (-9)\/c - 38\/20. Are p and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.8. Let s(o) = -o**2 - o - 3. Let u be s(0). Let l be (0\/(-4))\/(-1 + -1). Which is the closest to l? (a) 0.1 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17 = 3*p + 7, 3 = 3*p. Let r = k - -26. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g - 137. Calculate q(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -1, -0.4 in decreasing order.\nAnswer: -0.4, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13 = 77. Suppose 3*a + a = y + 35, -5*y = 2*a - r. Solve 0 = a*x - 8*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1908 + -362. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**4\/2 - 14*w**3\/3 - 4*w**2 + 24*w - 1117. Determine m so that g(m) = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1014, 4005, 8956, 15837, 24618, 35269, 47760, 62061?\nAnswer: 78142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2708 * 51.695.\nAnswer: 139990.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74871 - 16420. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(153)\/sqrt(144)*5 - 1*(5*(sqrt(1377) + -3))**2.\nAnswer: -34648 + 5405*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -62 - (388 + -428).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 13*n + 4. Let y be p(13). Suppose 0 = -2*d + 8 - 2. Suppose -10 = -o - 2*x - 2*x, 3*x - 15 = d*o. Sort y, -5, o in descending order.\nAnswer: y, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526979.6 years in decades?\nAnswer: 52697.96","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, b: 2, n: 2}. What is prob of sequence hn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*j + 3*b, j - 2*b = -4*b - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6*30.1\nAnswer: -180.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 15. Let d be l(-9). Let f = 90 - d. Let g = f + -12. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.00000002 + -5. Round k to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/9 + 2*h**2\/3 + 10*h + 18 = 0.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 1.681. Let f = -0.019145 + a. Round f to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (214 - 1 + 211)*(s + 0*s - 3*s) - 3 - s + 3 + 3*s - 2*s + s + (2*s + 2 - 2)*(-3 + 4 + 0) + 5*s - 4*s - 2*s to v + h*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 16. Let b be 7 - (m - (-2 - -3)). Let s = b - 2. Calculate the highest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271061597.\nAnswer: 3617, 74941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v - 1. Let r be a(-3). Solve y - 2 = r*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c - 51*c = 4*w - 48, -2*w + 24 = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*o + 258*o - 9112 = 18110 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -o - 29, v - 10*o + 8*o - 8 = 0. Solve 0 = -v*z - 5 + 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*q + 10. Suppose 7*p - p - 444 = q. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/408 and 89\/9242016.\nAnswer: 9242016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 251*y**4 + 2*y**2 - 2*y + 198. Let i(g) = 1255*g**4 + 11*g**2 - 11*g + 989. Let w(n) = 2*i(n) - 11*t(n). Find the first derivative of w(h) wrt h.\nAnswer: -1004*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67291 + -46238. Let d = j - 7208. Suppose 3*m - 2*a = 8291, -5*m = 3*a - a - d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020 - 2213013?\nAnswer: -2203333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert -110202 (base 3) to base 2.\nAnswer: -101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 155.01. Let y = -0.01 + c. Let n = -1 + y. Sort 0.1, -1, n in increasing order.\nAnswer: -1, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -309 (b) -5 (c) -1158122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4.9 (b) -0.04 (c) 3\/7 (d) -55 (e) -0.3 (f) -1\/5 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -21.6?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(800) + sqrt(800) + 1))**2.\nAnswer: 80*sqrt(2) + 3201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1\/14*v**8 + 0*v**3 - 17 + 2\/15*v**6 + 0*v**5 + 4\/3*v**4 + 0*v**2 + 0*v**7 - 2*v. Find the third derivative of s(o) wrt o.\nAnswer: 480*o**3 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7604812906?\nAnswer: 2, 59, 233, 276599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + b**3 - 3*b**2 - 4*b**2 + 5*b + 0*b**3 as v + k*b**3 + z*b + u*b**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*m + s + 20, 2*m - 4*s - 14 = 0. Suppose -5*p = w - 4*w - 48, 2*p + 3*w - 36 = 0. Let j = p - m. What is the remainder when 37 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4 = -4*t, -4*h = 5*t - 1 + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) 8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 39256485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231000 is divided by 76535.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-4.66.\nAnswer: -60.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2992, -3009, -3108, -3331, -3720, -4317, -5164, -6303?\n\"Answer: -7*v**3 + v**2 + 29*v - 3015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**5 + 14*p**4 - 100*p**3 - p**2 - 13993 wrt p.\nAnswer: 360*p**2 + 336*p - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 11*x + x + 20*x + x**2 + (2*x - 2*x + 2*x)*(0 + 0 - x) to the form g*x + m + s*x**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcum when four letters picked without replacement from {y: 4, b: 1, m: 5, u: 2, c: 2}.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 49, 24, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2554342*-236\nAnswer: -602824712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Suppose -32 = -30*x + 22*x. Let v(z) = 5*z**2 - 5*z + 2. Calculate x*r(p) - v(p).\nAnswer: -5*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) 2\/7 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -4 - ((-90 - -26) + 42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/25, -3\/11, 2.601, 0.4 in increasing order.\nAnswer: -3\/11, -6\/25, 0.4, 2.601","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 6. Let c = -1.1 - n. Let y = -0.2 - c. Put 0.4, y, 1 in increasing order.\nAnswer: y, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**4)*n\/(n\/(n*(((n\/(((n\/(((n**3\/n*n)\/n)\/n)*n)\/n)\/n*n))\/n)\/n*n)\/n)))**24 assuming n is positive.\nAnswer: n**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(64\/12)\/(-4). Suppose 2*p = 3*p - 12. Suppose -v*b = -p*b + 280. Calculate the remainder when 55 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from engqqxz. What is prob of sequence zn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1, 0.2, -0.02, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181454028 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + h)*(-20*h**4 - 19*h**4 + 2*h**3 + 41*h**4 + 1).\nAnswer: 4*h**5 + 4*h**4 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 18650945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 40*q**2 - 17*q. Let y(x) = -14*x**2 + 6*x. Let h(m) = -6*p(m) - 17*y(m). Let g(w) = 2*w - 2*w + 0*w**2 - 21*w**2. Calculate h(g(o)).\nAnswer: -882*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -20\/7, -5 in ascending order.\nAnswer: -5, -20\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*y - 196*y + 84*y + 28*y.\nAnswer: -361*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + 11*d**4\/8 - 25*d**3\/3 + 7*d**2 - 82*d. Give b(31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5 + 153*p**4 - 4137*p**3 - 8737*p**2 - 4446*p = 0.\nAnswer: -1, 0, 38, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -394369, -788730, -1183051, -1577308, -1971477?\n\"Answer: 4*r**3 - 4*r**2 - 394377*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p. Let h be -3 + (2 - p) - 3. Sort h, -1\/4, -0.1 in ascending order.\nAnswer: h, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -1\/3 (c) 0.4 (d) 4\/3 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*t = 791*t - 1038*t + 86082 + 11746 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (3 + sqrt(2) + sqrt(6)\/sqrt(3) + 5 - ((sqrt(2) + sqrt(8))*-5 + sqrt(32)*-2)) + -3)**2.\nAnswer: -5036 - 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524750962 and 4468?\nAnswer: 2234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-5 + 3 - -4) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42395471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 5661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -171, -763, -2373, -5511, -10687, -18411, -29193, -43543?\n\"Answer: -85*h**3 + h**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 75 and 92212\/1239 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + v**2 - 3*v**2 + 21. Let o be d(0). Suppose 7 = 4*k - o. Solve -5*i - 3*q + 35 = 2*q, -5*i = -2*q - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -95. Let m = w - -17. Solve -15 = -m*f - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 4*b = 20, -b + 4 = 0. Let o be 4 - p\/(-1) - -3. Solve 0 = -2*x + o*y - 1, 5*y = x - 2*x - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-9) + 494\/(-78). Let m be -2*8\/(-1 - 1). Solve m = -5*a - 2*p, -4*a - p - w*p - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 + 44\/33). Which is the biggest value? (a) 0.3 (b) -3\/7 (c) 5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6851, 12177, 17503?\n\"Answer: 5326*n + 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p + 5*z - 45, -5*z - 15 = -5*p. Calculate the smallest common multiple of 72 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52*(-47)\/4888*66*1*-1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*g - 85, g - 30 = -67*k + 69*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0, -552, -2344 in ascending order.\nAnswer: -2344, -552, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.44 + 3.44. Let r = -14 - -7. Let z = r + 7.4. What is the closest to v in z, -2\/9, -4\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.2 (c) 4.5 (d) -11 (e) -0.1 (f) 6177\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 15*s**2 + 15*s - 10. Let w be p(14). Suppose 0*t = -t, 0 = 4*h - 2*t - w. Sort 0.2, h, 5 in increasing order.\nAnswer: 0.2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160733557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2 - 0) + 36\/(-12). Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 - d**2 + 57*d**3 - 1 - 65*d**3 as g + t*d**2 + x*d + u*d**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1525 - -784. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 4*g**2 - 2*g - 6. Let p be h(-4). Suppose p*z = -2*z. Is 1 + z - (-1 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10965 or 25.5?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 12. Let d be y(-6). Let m = d + 8. Suppose -3*i - 1 = -4. Is i less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11, -0.05, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = -7*i + 2*i, 0 = -2*i + t + 1. Let o(v) be the third derivative of -1\/12*v**4 + 0 - 2*v**2 + i*v**3 + 0*v. Let q(n) = -n**2. Give q(o(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -7*o**4\/24 + o**3\/6 - o**2\/2 + 5*o. Let g(s) be the first derivative of d(s). Differentiate g(b) with respect to b.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14160087 - 14153047 = -110*h for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -916.34 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/140)\/((-54)\/1407*2). Which is bigger: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**2 - 644. Let d(r) = 33*r**2 + 3227. Calculate -3*d(c) - 14*z(c).\nAnswer: -c**2 - 665","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -558, 44, -1, 4 in decreasing order.\nAnswer: 44, 4, 1, -1, -3, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-60)*-10*(-15)\/(-4)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 250, -66 in decreasing order.\nAnswer: 250, 2, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -668\/7*s + 1352\/7 - 4\/7*s**2.\nAnswer: -4*(s - 2)*(s + 169)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*t**4 - 16691*t**3 - 6108768*t**2 - 2*t wrt t.\nAnswer: -1704*t - 100146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1 - (-1 + -3). Let g be q\/(-15) + 169\/3. Suppose -g = -4*w + 28. What is the remainder when 41 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 + 448710*j**4 - 25173639606*j**3 + 679384077890*j**2 - 1283249031792*j + 629038144800 = 0.\nAnswer: 1, 25, 112164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 + 6*n - 5. What is a(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 5*y - 1, -4*g = -4*y - 60. Let n be (-10)\/(-12)*g\/(-40). What is the closest to -0.2 in n, -3, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.83 + 1.03. Let j = -2 + -2. Which is the third biggest value? (a) l (b) j (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/8 - ((-5699)\/556 + (0 - -1)) and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.035 and -59662.\nAnswer: 2088.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 9*f + 2. Determine a(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*d - 68 = 0, -46500*w - 2*d = -46489*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*k + 2*p, 5*p = 4*k - 18. Let z = 6 - k. Suppose -z = -4*h + 4. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 791 + -790.371. Let d = n - 0.6289402. What is d rounded to 6 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(18\/(-24)). Find the second derivative of 2*g - 3*g**z - 6*g**2 - 3*g - 5*g wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 216 - 201. Let a = -899 + 907. Is a <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/6 - 3631*o**4\/6 + 227095*o**3\/2 - 2685173*o**2\/6 + 1670510*o\/3 - 222250 = 0. What is o?\nAnswer: -3810, 1, 2, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -46. What is the greatest common divisor of y and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -844 + 3?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 4. Let c be g(3). Suppose -c*t - 31 = -101. Let i(f) = 3*f - 5. Let p be i(3). Solve p*r - 2 = -t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21783 is divided by 6994?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23366228 and 116?\nAnswer: 23366228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 18 - 17 - 13*y - 7 - 10. Let f be -2 - (2*4 + 2). Is q(f) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7972282*y - 320931845.\nAnswer: 7972282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 54\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 + 2*u + 3. Let f(n) = -14 - 3*n + 21 + 4*n**2 - 10. Let p(j) = -2*f(j) - 3*o(j). Let d(w) = -w**3 + 5*w**2 - 4. Give 4*d(h) - 5*p(h).\nAnswer: -4*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.05139 milliseconds in seconds?\nAnswer: 0.02605139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-11)\/(176\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1345 + 1369. What is the remainder when 143 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j - 1. Let p be x(-5). Let f = p + -2. Let d be 76\/16 + f\/8. Solve d*l + 3*q + 18 + 16 = 0, q + 23 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 13. Let j be x(-6). Suppose -j = -2*i + 445. Suppose 4*k = -k + i. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/3 - 4*t - 106. Let h(x) = 20*x - 3. What is q(h(a))?\nAnswer: -1600*a**2 + 480*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 10\/2)\/((-2)\/(-80)). Solve 133*d = 113*d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/1102 + -2135\/25346. What is the biggest value in -0.1, p, 165\/7?\nAnswer: 165\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 370518481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153408, -306935, -460472, -614025, -767600, -921203, -1074840, -1228517?\nAnswer: -1382240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*o, -2*m - 117*o + 122*o = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**5\/20 - 7*f**4\/12 + 4*f**3\/3 - 5*f**2\/2 + 20*f + 33. Let z(o) be the first derivative of l(o). Determine z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 3*y - 36, 2*y = -2*w + 4. Let s(d) = -d + d - 3*d + w*d. Let l(a) = -2*a. Calculate s(l(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 - s + 1. Let w(b) = -b - 9. Let y be w(-7). What is j(y)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112, 226, 300, 298, 184, -78?\n\"Answer: -6*l**3 + 16*l**2 + 108*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-44 + 88 + -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.076 + 33.724. Let q = 34 - n. Which is the biggest value? (a) 0.4 (b) -6\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 47. Let j be 2\/h + (-413)\/42. Is 12 a factor of (-1 - (-5)\/j)\/(2\/(-128))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.467 + 4.467. Which is the third biggest value? (a) j (b) -0.1 (c) -4 (d) 1\/10 (e) 1\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071853559?\nAnswer: 3, 257, 99527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(-3\/2))\/s**(-1\/4)*s*s**(-2)\/s*s\/s**2)**16 assuming s is positive.\nAnswer: s**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -139514610639.\nAnswer: -139514610626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.483 - -15.37.\nAnswer: 16.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -91*q + 15. Determine u(2).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6508, 7.\nAnswer: -6508, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 2 + sqrt(272) + -2)**2 + (sqrt(272) + sqrt(272) + 0 + -3 - sqrt(272)).\nAnswer: 4*sqrt(17) + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {k: 7, r: 3, u: 6, i: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*q = -b + 6532, 2*q = 8. Let w be (-11)\/6 + 2 + b\/(-48). Does 16 divide 2\/(-8) - 1377\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(3\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let o = 2 + -1. Let u = o - a. Put u, -2\/11, 5 in decreasing order.\nAnswer: 5, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159120 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3890295?\nAnswer: 3, 5, 28817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 13*h**2 - 13*h - 16. Suppose 34*k + 427 - 19 = 0. Determine l(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11761 times -5?\nAnswer: 58805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892730 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f**3*w**2*z**2 - 51*f**3*w + 27*f**2*w**2*z**2 + f*z**2 wrt w.\nAnswer: 32*f**3*z**2 + 54*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10011000?\nAnswer: 10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 2, f: 2}. What is prob of sequence ff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 1. Let z(i) = 5*i + 140. Give -3*m(u) - z(u).\nAnswer: -2*u - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (10 + -10 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 8*m**2 + 5. Let z = 20 + -12. Let o be g(z). Is o less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 2*j**2 - j + 1. Let u(g) = g - 2. Let m be u(6). Suppose 5 = 3*q + 4*n, -4*q + m = 3*n - 5. What is t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -361 - -361. Put o, 2, 119 in ascending order.\nAnswer: o, 2, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-2)\/v))**50)**(40\/9))**(-9\/5) assuming v is positive.\nAnswer: v**(-1600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1362816 by 4032.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3*y + 0)*(3 + 1 - 5) + 12*y + 0*y - 3*y)*(2*y**2 + 0 + 0 + 2).\nAnswer: 12*y**3 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 800341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3988 (base 14) to base 6\nAnswer: 114500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12856 is divided by 6422.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7855*p - 785455 - 288557 + 249237 for p.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4924, -4908, -4868, -4792, -4668, -4484?\n\"Answer: 2*j**3 + 2*j - 4928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25378 or 11851542\/467?\nAnswer: 11851542\/467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -14 + (-33 - -10) - 149\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 + i\/4 - 1\/2.\nAnswer: (i + 1)*(3*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/24 + 3*v**3 + 161*v**2 - 8*v. Give n(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10119*-0.356\nAnswer: 3602.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*z - 125 + 785 = -77*z. Solve 6 + z = 12*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1 in descending order.\nAnswer: 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3, 5\/2, 7\/5, -1.7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617.437ug in kilograms?\nAnswer: 0.000003617437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/7 + (-7)\/49. Suppose 3*d + d + b*r - 132 = 0, -99 = -3*d - 5*r. What is the highest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 730483*h + 1457884?\nAnswer: 730483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20870 - 22843. Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkb when three letters picked without replacement from tkkbkbvttvdt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 254.95 + -253.8. Which is bigger: u or 1\/16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43843699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -7. Let a be (3\/(-10))\/1 + (-26)\/(-20). Let t(z) = -7*z + 6. Let y(s) = -s + 1. Give a*t(n) + x*y(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 7. Let q be b(0). Suppose -4*c - 5 = -2*d + q, 0 = -d - 3*c - 9. Let m = -2 + 0. Put m, -3, -1, d in ascending order.\nAnswer: -3, m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 3. Let i(u) = 3*u - 7. Let n(k) = 5*d(k) + 2*i(k). Let h(b) = b**3 + 5*b + 4. Let q = 53 + -59. Calculate q*n(g) + h(g).\nAnswer: g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6413 - -6813. Calculate the smallest common multiple of 38 and m.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 13*y - 6. Let k be w(12). Let n = k - 3. Suppose -n*x + 2*x = -91. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -20*m - 1. Let y be g(-2). Suppose 5*f - 2*f = -2*z + 113, -5*z = f - 55. Suppose y + f = 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8432 + 15825. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a hour?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10874 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 7. Let n be i(-8). Suppose a = 5*p + 16 + 8, -3*a - 4*p - 4 = 0. Factor 2*s**3 + a*s**2 + 2*s + 1 - n.\nAnswer: 2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = -1126. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2780*t + 14660 + 157700 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*l + 753 + 307 = 117*l + 548. Suppose 0*y**l - 2\/5*y**5 + 0*y - 8\/5*y**4 + 0 + 0*y**3 = 0. Calculate y.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 9 + 5. Let u = 11 - v. What is the remainder when -1 + (-134)\/(-17) + (-6)\/(-51) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56 (b) -0.9 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 10 + 1 = 3*n, -3*n = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 15. Let o(s) = s - 1. Let r(u) = 11*u - 3. Let f(d) = -4*o(d) + r(d). Let k be f(5). What is the highest common factor of k and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6)*2)\/((-18490)\/(-258) - 72).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 11*l + 3. Let i be c(11). Let h(g) = -3*g**3 - 7*g**2 + 1. Let w(q) = 2*q**3 + 4*q**2 - 1. What is i*h(y) + 5*w(y)?\nAnswer: y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2 + 2)*(17*h + 8*h - 35*h)*(-2*h + 5*h - 2*h).\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 - 3417\/34)*2. What is the third biggest value in i, 2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 9*x**2 - 5*x - x**3 + x**2 - 5 + 0. Let k be h(-5). Let a = 4 + k. What is the closest to a in -2, -1\/4, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) 0.1 (c) 2\/9 (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/h**(-1\/10))**(-20)*(h**(-4)\/h**(-3))**13 assuming h is positive.\nAnswer: h**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814 divided by 88.\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p - 110. Let j(w) = 64*w - 35. Let g be j(1). Is d(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*l + 6. Suppose l*s = 7*s - 57. Let a = 44 + -21. Solve -3*o - 4*v - s = 0, -3*v + v = -5*o - a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -64648?\nAnswer: 64643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -895.8 and -3.\nAnswer: -898.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f. Let s be f + 0\/(-3) + 2. Factor 1\/3*g + 0 - 1\/3*g**s.\nAnswer: -g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 57*s**2 - 8*s**2 - 29*s**2. Let k(i) = 14*i**2. Determine k(o(v)).\nAnswer: 5600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -0.0006?\nAnswer: 0.1994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 78 = 10*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 20, -3.\nAnswer: -3, 20, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -117, -0.049, 0.05, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-10) - ((-1014)\/12)\/(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b. Suppose -5*v - 4*k = 7, 0 = -v - b*v + 5*k + 16. Is (-10 - v)\/(4*(-7)\/28) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/37 and 364\/(-1440) - 20\/90.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 614*s - 620*s + 10, 3*p - 3*s = -3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7569194 + 7569194 - 463*f**3.\nAnswer: -463*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -36. Let i = 27 - p. Suppose 15 - 58 = -2*q - 5*x, -2*q - 3*x + 41 = 0. Calculate the remainder when q is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1455, -0.5, 10997, -3 in descending order.\nAnswer: 10997, -0.5, -3, -1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 6*a**2 + 5*a + 4. Suppose 5*h + 20 = -5*c, -5*h + c = 3*c + 5. Let z = 4 + h. What are the prime factors of p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 6. Suppose 4 = 3*a - 2*a. Let l be v(a). Is 4 a factor of (l + 1)*9*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -10*n. Suppose 3*f + 0 = -4*w + 13, -11 = -3*f - 2*w. What is the second derivative of 4*v - f*v**2 + 3*v - 6*v + n*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1602.905\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*z = -196*z - 44. Suppose -4*w - 5*x + 215 = 0, -z*x - 28 = -8. Calculate the remainder when w is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -80*r - 782. Give l(-6).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 29 = -349 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 2437?\nAnswer: -102\/2437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1283060 divided by 4.\nAnswer: -320765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13830551*t + 27660992*t - 13830503*t.\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 - 14*z**2 - 7*z - 12. Give y(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from bgbggbggggbgbffggb?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)*(748\/2057 + (-140)\/22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 36 = 7*h. Suppose h*u + 12 = 14*u. Is 14 a factor of 4\/(-6) + (-257)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -36, -67, -7 in ascending order.\nAnswer: -67, -36, -7, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 17*x + 2 + 64*x.\nAnswer: 81*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -19*b**5 + 17*b**3\/3 + 3*b**2\/2 - 107. What is the third derivative of s(o) wrt o?\nAnswer: -2280*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/460 and -15\/84548.\nAnswer: 422740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 (base 8) in base 15?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 10) to base 15\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 385 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 162?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 6)*(p**4 - p**4 + 2*p**4) + 12*p**4 - 7*p**4 + 2*p**4 + 10 - 10 - p**4 to the form d*p**3 + f + b*p + a*p**2 + z*p**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2513 + 2530 - 4982 - 73*c)*(c**2 - 2*c**3 - c**2) - c + 2*c + 2*c**4 + 2*c as b*c**3 + h*c**2 + l*c + y + a*c**4 and give a.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 31 = u, -2369*w + 3*u = -2373*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 21. Calculate the remainder when (0 - -25)*(0 - -1) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.0353, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1000100000100001010?\nAnswer: 1000100000100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 8. Let f = 15 + -7. Let n be c(f). Solve 2*k - 3*g + 1 = 0, n = -k - g + 10 - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 - 344*y**3 - 80*y + 6?\nAnswer: 24*y**2 - 2064*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 11:19 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*r = 99*r + 11*r - 8591 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -82*s. Let m = -16 - -30. Let k(z) = -16*z**2 + 15*z**2 + 14 - m. What is r(k(o))?\nAnswer: 82*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -571 - -958. Suppose 5*n = -13*p + 15*p + b, 5*p = 20. Calculate the remainder when n is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -56635?\nAnswer: -5663b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**1*p)\/p**13)\/(p*p*p**33*p)**46)**(-36) assuming p is positive.\nAnswer: p**59976","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 44*q = -103*q + 10005576. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = c + 2*c - 50, 5*c = f + 92. Suppose 7*y = y - 96. Let k = c + y. Calculate the remainder when 3 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 4*f**2 - 13 + 144*f**4 - 145*f**4 - f**3 - 6 + 44 to the form p*f**3 + y*f**2 + j*f + m*f**4 + n and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -314, 7, 4604, 1 in descending order.\nAnswer: 4604, 7, 4, 1, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 26*f - 53. Let y be x(28). Which is the second smallest value? (a) 2\/5 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 12*v**2 + 14*v.\nAnswer: -2*v*(v - 7)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148881 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1273 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 68\/5. Let z = -0.717 + -6.303. Let h = 7 + z. Sort d, h, -3.\nAnswer: -3, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1526, -4.\nAnswer: -1526, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5302926)\/(-1265) + (-4)\/110?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303 - -307. Suppose -5*m + 8 = -b - 16, -2*b - m = z. Let g be (-22)\/26 + 1\/1. What is the nearest to -1 in g, b, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac673 (base 14) to base 4.\nAnswer: -3221130131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -413 + 421. Solve -4 + c = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 t when four letters picked without replacement from {t: 7, i: 9}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-42)\/(-189)*-9 + (-1 - (-2 + -12364))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.4+-15232990430.8\nAnswer: -15232990442.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -440, -1684, -3766, -6692, -10468, -15100, -20594?\n\"Answer: -k**3 - 413*k**2 + 2*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-102))\/((-1089)\/(-14399))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 13*a - 9*a + 30*a.\nAnswer: a**3 + 34*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/42*21 + 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164401*-4.\nAnswer: 657604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130446*u**2 + 12*u - 5504 wrt u?\nAnswer: 260892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.991023707 to four decimal places.\nAnswer: -0.991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 3*t + 0 + 0.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -5*l + 6*l + 12, 4*l = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(396\/117)\/(-22)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 157 + 99 + 56 - 3*p as w*p + a and give a.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95927, -380527, -854861, -1518929?\n\"Answer: -94867*p**2 + p - 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*r = 28, -2*w + 0*r = 3*r - 31. Let c(s) = -s**2 + 12*s - 10. Let u be c(w). Sort u, 2, 5 in descending order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixteen fifteenths of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - ((-2)\/5)\/((-2)\/(-10)). Let k be r\/24 + (-17340)\/(-16). Let t = -497 + k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 11*p**2 + 12*p - 71. Let b be f(13). Let i = -241 - b. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*g**3 + 224*g - 459*g + 234*g.\nAnswer: -66*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(1\/4)*n))**(1\/12))**(2\/7)*(n**(-1)\/n)**(1\/38)*(n\/(n**0\/n))**(1\/38) assuming n is positive.\nAnswer: n**(-1\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10624 (base 8) to base 7\nAnswer: 16056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 345867*i**2 - 9962263521*i - 369077394159.\nAnswer: -3*(i - 57663)**2*(i + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfomooxmzqxqoxzf. Give prob of sequence xq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - n**2 + 0*n**2 + 0*n**2 - 451.\nAnswer: n**2 - 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*h + 218*h = -108. What is the units digit of 498\/h*(-84)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:54 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Let t be ((-4)\/(-4))\/(3\/6). Let x(p) = -2*p + 5*p - t*p. Let s(v) = -10*v. Let k(d) = s(d) + 4*x(d). What is k(a(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-1)*184\/207. Let b(w) = w**3 - 12*w**2 - 14*w + 7. Let s(q) = -q**2 - q - 1. Let x(v) = b(v) - 5*s(v). Calculate x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37, 4, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1573 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*b**3*h + b**2*g*h - b*h - 85*g*h + 2*g with respect to b.\nAnswer: -57*b**2*h + 2*b*g*h - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567948061 - 33*d + 567948061.\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1*sqrt(2448))**2 + sqrt(68)*-1 + -2 + ((sqrt(34) - -2*sqrt(34))\/sqrt(2))**2.\nAnswer: -2*sqrt(17) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -53. Let y = t - 24. Which is the biggest value? (a) -1 (b) y (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 7*p - 630. Calculate the greatest common factor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*l. Is l\/1 - (-1)\/2*7026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and ((-2079)\/(-42))\/(3\/2).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 - 1.5. Let s = 1.58 - 0.08. Let z = s - v. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1670472 - 345?\nAnswer: -1670817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (94 - (-3 - -1)) + -100 + 334 + -242?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.812 * -5.\nAnswer: 4.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 14, 38.5 in descending order.\nAnswer: 38.5, 14, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/17 - 19660*t\/17 - 137522\/17.\nAnswer: -2*(t + 7)*(t + 9823)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4*h + f**3*h - 36*f**2*h**2 + 883*f*h**2 wrt f?\nAnswer: 12*f**2*h + 6*f*h - 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = 68. Suppose 4*w - 17 + p = 0. Factor w - 2\/7*c - 5\/7*c**2 - 3\/7*c**3.\nAnswer: -c*(c + 1)*(3*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 6c?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*n + 2*j, 7*n - 3*n = -5*j + 12. Let i(k) = 4 + 5 + k**2 - 8*k + n*k - 1. Calculate i(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3\/2, 267, -5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17011 + 154079\/9. Let c be (((-804)\/27)\/67)\/((1 + -2)*2). Solve -j*q + 686\/9 - 44\/9*q**3 + 112\/3*q**2 + c*q**4 = 0 for q.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 2 + 3*h**3 - 2*h**3 - 3 - h**2. Is k(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 3.17. Let t = g + -3.8. Let s = t + 1. Put 2, -0.4, -5, s in descending order.\nAnswer: 2, s, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/7 + 2138*(-3)\/(-2016) and 109\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603275915 to the power of 1\/3, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (686 - 734) + (-2 - (-21 - -4)) + -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 47901*d. Let a(p) = 150*p + 13. What is h(a(b))?\nAnswer: 7185150*b + 622713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433053214 to the power of 1\/3, to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 827.89.\nAnswer: 825.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 - 53. Let f = x - 92.894. What is f rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285985884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 - f**4 + 3*f**4 + 3*f**4 + 2*f**4 - 6*f**4 + (2*f**3 + 2*f**3 - 3*f**3)*(-2 - 2*f + 2) as z*f + r*f**2 + q*f**3 + l + v*f**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.661496ns in minutes?\nAnswer: 0.0000000002276916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 r when four letters picked without replacement from rwrrrw?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -63, 3, -2, 0, -1 in descending order.\nAnswer: 3, 0, -1, -2, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-22))**(-41))**(-2\/93) assuming n is positive.\nAnswer: n**(-1804\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*q = 393*q + 57670. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45853, 24, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8160.728 decades in centuries?\nAnswer: 816.0728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = 2*r, 0 = r - 3*r + s + 4. Let o(l) = -3 - 4*l**2 + l**3 - l - 2*l + 8*l - l**r. What is o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191959 plus 0.05?\nAnswer: 191959.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w + 69 - 341 + 84 + 33*w + 95 to m + i*w and give m.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91402 and 15778?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 634958.\nAnswer: 2539832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = p - 7, 3*h - 13 = 5*p - 3*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 3, b: 1, r: 3, n: 1}. What is prob of sequence rr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.9 - -15.8. Let p = m - 4. Let t = -3 + p. What is the second biggest value in 0.2, 0.3, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -151*g + 39*g. Solve -2*f - 50 = -g*o - 31, 2*f + 14 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283171 * -4\nAnswer: 1132684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19009*p**3 + 5*p**2 + 6*p - 308 wrt p.\nAnswer: -114054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46945 or 5.082?\nAnswer: 46945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*84\/(-224)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 8632320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*k + 4 - 1 - 329*k - 3.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {a: 4, o: 1, t: 1, z: 2, r: 2, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from csmnnmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xfsff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 3*w - 3. Suppose -5 = 5*o + 2*i, 2*i = -o - i - 1. Let g(p) = -p - 1. What is o*x(y) + 3*g(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 586959587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.0425\nAnswer: -0.00425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15245202 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 1. Let p(k) = 2. Let s(n) = -2*l(n) - p(n). Suppose -2 = -3*t + 19. Let f(d) = -t*d + 0*d + 3*d - 1 - 8*d. Determine s(f(w)).\nAnswer: 288*w**2 + 48*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8957084, -17914173, -26871262?\n\"Answer: -8957089*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 + -63. Put -3, 1, p, 3 in ascending order.\nAnswer: -3, 1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5980, 5977, 5964, 5935, 5884, 5805, 5692?\nAnswer: 5539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-62)\/(-4) + -5)*2. Let q = 56 - u. What is the greatest common factor of q and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2163917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151179841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (190250\/(-3) + -1)\/(35\/(-105)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719084909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f = -38*f - 75. Let r = 0.17 - -0.33. Let j = -13.4 + 13. Sort r, 0, f, j.\nAnswer: j, 0, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, z: 12}. What is prob of picking 1 z and 1 u?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*m + 169 - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7664 and 1968.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -115*f - 104. Is g(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24137 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (131396\/(-18))\/(-1) - 25*(-8)\/900?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 - 13 = 5*t, 3*c + 11 = 2*t. Let z(p) = -13*p - 1 - 5 + 3*p. Let l be z(c). Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -187, -358, -527, -694, -859, -1022?\n\"Answer: v**2 - 174*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0\/a))\/(a*a\/(a**5*a)*a))\/((a*a*a**(3\/2)*a)\/a**1) assuming a is positive.\nAnswer: a**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3639, -29114, -98243, -232848, -454751, -785774, -1247739?\n\"Answer: -3637*a**3 - 5*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 6*k - 3. Suppose -r = -2, -4*i + 2*r + 28 = 6*r. Let u be y(i). Suppose 5*o - 57 = -u. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 70*z + 85. Give r(69).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.025.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(66)*3*3 - (1*sqrt(66)*1 + sqrt(66)))\/(-1*sqrt(384)*5).\nAnswer: -7*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/9, 47.8, 5, -4 in increasing order.\nAnswer: -4, -2\/9, 1\/4, 5, 47.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**0)*x*x)**(1\/14))**(-48) assuming x is positive.\nAnswer: x**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78656, -293085, -650460, -1150775, -1794024, -2580201?\nAnswer: -3509300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/120 - 7*d**5\/60 + d**4\/24 + 38*d**2. Suppose 0 = -4*y + 8*y - 28. Suppose 3*x - y*x = 28. Determine j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 2, u: 1, d: 6, b: 4}. Give prob of sequence bhd.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 110.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.660798ns in milliseconds?\nAnswer: 0.000003660798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15075553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22327 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 306550157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3509, -210, -2 in increasing order.\nAnswer: -3509, -210, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -26. Suppose -3*u - 4*p = 10, 3*u + 5*p = -g - 5. Which is the smallest value? (a) 2\/7 (b) -2\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d - d - d)*(-d + d - d**2) + 22*d**3 - 25*d + 25*d + 2*d**3 - 2*d**3 - 3*d**3)*(-3*d + 5*d - d).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10113 - 10090. Calculate the greatest common divisor of 21 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 110 - 14 = 0. Let p = j + -15. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 24*i**2 + 2110*i - 173. Let p(f) = f + 10. What is the remainder when a(-88) is divided by p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**2 - 15 + 0*v - 10*v**3 - 1\/12*v**5 + 35\/24*v**4. Factor l(u).\nAnswer: -5*(u - 4)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106102 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 times 0.3173\nAnswer: 0.0237975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p**2 + 237*p + 218. Determine y(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzya when four letters picked without replacement from thyyaahazahyayatta.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/14*56\/(-96)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139167107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10055 + 10133 = -1204*f - 31226 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -p - 2*p + 14, 2*r - 3*p + 13 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 40, 4494\/5, -7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-1 - 1) - (-8)\/1. Suppose k*h = -c + h + 384, -4*c = 3*h - 1588. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/31 in -5, 2, 388?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.53593 * 4.6\nAnswer: 2.465278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45518, 77524, 130868, 205550, 301570, 418928, 557624?\nAnswer: 717658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -19.99892. Round s to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, g: 5, i: 10}. What is prob of picking 1 i and 3 a?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1061838*w**3 + 43869*w - 7 wrt w?\nAnswer: -6371028*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*n - 2*n - 18, n = -3*m + 62. What is the units digit of m - -1 - (-8)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 7:37 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 208 - 39 = -126*u. Sort -188, 0, 5, u.\nAnswer: -188, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 943 + -944. Let u = 0.06 - 0.06. Let t = 0.5 - u. Sort 4, t, m in descending order.\nAnswer: 4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(12\/32). Suppose -z = -2*q + 3, u*z + 18 = -3*q + z. Let d be (2\/(-2))\/(3 + -4). Are q and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 8. Let w = i + 2. Solve -v = -5 + w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 3:59 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 - 28*t + 28*t.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 7*p + 1. Let t be w(-7). Suppose 9*n = 4*n + 20. What is the lowest common multiple of -18*t*5\/(-15) and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 547 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3504 and 26976?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 37*c + 79. Let u be y(-16). Let d(l) = -117*l**2. Let t(h) = -2. Let a(b) = u*d(b) + 6*t(b). Differentiate a(w) wrt w.\nAnswer: 234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 4 + 4*i - 2*i. Let q(n) = -3*n - 9. Suppose -a + 1 + 1 = 0. Calculate a*q(r) + 5*l(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 7) in base 15?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 7*l + 4*f + 56, -3*f + 3 = 2*l. What is the highest common divisor of 441 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3669469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 41*f**2 + 204*f - 26. What is c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142273153 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: Let q = 9 + 1. Factor -5*o**3 - 25 + 0*o**3 + 20*o**2 + 5*o**2 - 5*o + q*o**3.\nAnswer: 5*(o - 1)*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11922, 95512, 322406, 764256, 1492714, 2579432, 4096062?\nAnswer: 6114256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-10 + (-18944)\/(-384)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763354597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27138*s**2 + 234*s - 70 wrt s.\nAnswer: -54276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 - 2*r**2 + 4. Is l(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(-10))\/1 + (6459882\/(-110))\/(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 180, -0.126, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156154702.\nAnswer: 2, 11, 71, 99971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -3*j. Suppose f + 24 = 30. Let t = 0 + 4. Solve j*a - t = f*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4721 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 39.48696\nAnswer: -35.48696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -4, -625, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 18 + 0 = 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1863894 + -1863816.38462. Let w = u - 62.6151. Let z = 15 - w. What is z rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228*g - 13094 - 112162 = 0 for g.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 37*o + 7. Let j(q) = 19*q + 3. Determine 9*j(d) - 4*m(d).\nAnswer: 23*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkqq when four letters picked without replacement from {q: 10, k: 7}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -764258000 rounded to the nearest one million?\nAnswer: -764000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**3 - 8*n**2 - 3*n + 15. Calculate g(-4).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-3*1))\/(51\/((-1683)\/22))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 130 - 123 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987226.6 centuries to years.\nAnswer: 98722660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2861 (base 10) to base 6.\nAnswer: -21125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c - 16239340 = -319*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-54)\/(-96)*6\/(-9). Let h = 6 + -11. What is the nearest to 0.1 in h, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-2 - sqrt(128)) + -2)**2.\nAnswer: 96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/(-44))\/((-1)\/14). Let d be -1 + z\/9 - (-195)\/27. Let o = 5 - d. Sort o, -4, 3, 1.\nAnswer: -4, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*((-30)\/(-72))\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(16\/98))\/((-30360)\/(-728640))\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p)*(2*p**2 + 2 - 2) + 11 + p**3 - 12 + 4*p**3.\nAnswer: 9*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -1 (b) -0.5 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (-3*-2*sqrt(448) + sqrt(448) - sqrt(448))**2 + (sqrt(28)*1 + -5)*-1).\nAnswer: -12*sqrt(7) + 96810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -73, -96, -117, -136, -153, -168?\n\"Answer: z**2 - 28*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.56 - 0.571. Let c = 13.011 + h. Let x = c + -13.00000021. What is x rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 986.\nAnswer: 79\/986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29498*r - 24125 = -29305*r for r.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.49 (b) 5 (c) 2\/19 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 5*q + 29, 4*x - 34*q + 36*q + 26 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -30*c. Let d(a) = 5*a**2 + 0*a**2 - 6*a**2 + 2*a**2. Determine k(d(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 20?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-23)\/1)\/(4\/(-12)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -146) + -125 - ((0 - (-2 + 2)) + -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 43*j + 210. What is h(-3)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(5*l - 11 + 11)*(l + 0*l + 2*l)*(0 + 1 + 1) in the form a*l + x*l**2 + r and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = -93. Let p = h - -254. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 16) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -1, -35, -103, -217?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 169949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.213540524 to 4 dps.\nAnswer: 0.2135","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/19 (b) 0.9 (c) 0.4 (d) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 287, 730, 1173, 1616, 2059?\n\"Answer: 443*b - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4931, 9861, 14805, 19769, 24759?\n\"Answer: v**3 + v**2 + 4920*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -332000 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 + 5*y**2 + 7*y**2 - 3*y**2. Let z(i) be the first derivative of -i**2 - 30. What is z(l(c))?\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.73999593 - -3.74. Round v to 7 dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-27) - 86641\/(-207). Suppose y = 3*t + i + 82, -5*i = -4*t + 481. Calculate the remainder when t is divided by 61.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930709, -929082, -927455, -925828, -924201?\nAnswer: -922574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j*j)**30*(j*j**4)\/(j**(-5\/6)\/j))**(-2\/3) assuming j is positive.\nAnswer: j**(-581\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(18)*-1 - (sqrt(1152)*1)**2) + -4.\nAnswer: -1156 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at least -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829.017mm in kilometers?\nAnswer: 0.002829017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1020, 2, 3, 1 in descending order.\nAnswer: 1020, 3, 2, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*u, -6*r - 2*u = -4*r - 2. List the prime factors of r\/20 - (-7995)\/50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 1.4, -1.6, 7\/1528?\nAnswer: 7\/1528","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t + 8*t - 3*t - 3*t. Suppose 0 = -3*y - n + 2 + 9, 0 = -4*y + 4*n - 12. Let v(x) = -x**2 + 0*x**2 + y*x**2. Calculate o(v(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbabdddbwdddbb. What is prob of picking 1 w and 2 d?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22788 is divided by 743?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23114 is divided by 7571?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444488*u + 223939*u + 220549*u + 13*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 246, 551, 978, 1527?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5696449 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 + -1322?\nAnswer: -13a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 3*u - 165 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5993*q**2*s**2 - 24*q**2*s - 221039*s**2 wrt q?\nAnswer: 11986*q*s**2 - 48*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3571 is divided by 477.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1237 greater than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/1260 + k**6\/720 + k**5\/120 - 5*k**4\/144 + k**3\/18 + 417*k**2 - 2*k. Factor o(z).\nAnswer: -(z - 1)**3*(z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1 + -3)*-5 - ((3*sqrt(325) + sqrt(13))**2 + (sqrt(39)\/sqrt(3)*-5)**2).\nAnswer: -3638 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 23 = 4*o. Suppose 0 = q + u + 91, 0*q + 4*u - 380 = 4*q. Let p = -102 - q. Do p and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let w = u - 3. Which is bigger: -1.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -101. Are -7\/6 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**1*z*z**(-15)\/z*(z*z*z**(3\/7)*z)\/(((z**(-48)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(27\/12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2480984 divided by 484.\nAnswer: 5126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-8) + (0 - (-4 + 6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/13)\/((-1841)\/(-47866)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = p - 0*p - 8, -5*p + 4*q = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2996, -3606, -4216, -4826, -5436?\nAnswer: -6046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/13 + 17\/52. Let d = 40.4 + -40.8. What is the nearest to b in 10\/7, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 13*n + 9*n)*(2 - 32*n + 3*n + 4*n) as s*n**2 + k + x*n and give s.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9449*c**2 + 3 - 9448*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*g = 25, 12*w + 952780 = -10*g + 952730 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/(-255))\/(18\/(-15)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -2012, -4582, -8178, -12788, -18400, -25002, -32582?\nAnswer: -41128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3)*-1 - -12. Calculate the greatest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(147))*-5*-5.\nAnswer: 25 + 175*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**(-3)*t**1\/(t*t**4)*(t*t*t**(2\/5)*t*t*t\/(t*t\/t**0*t*t))\/(t**(-1))**(-49) assuming t is positive.\nAnswer: t**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j - 36219146 - 86770774 = 0. Round j to the nearest ten thousand.\nAnswer: 2560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80436616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**5\/10 - 25*z**4\/12 + 4*z + 17. Let f(d) be the first derivative of q(d). What is the third derivative of f(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*i + 223*i = 3*a - 107, 3*a = -11*i + 121 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 675049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -7b6?\nAnswer: -7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -3\/20*o**5 + 0*o**2 + 1\/4*o**4 + 0*o**3 + o - 1\/10*o**6 + 0 + 1\/14*o**7. Find x such that u(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 + 10*l**2 + 11 + 11*l**2 - 20*l**2 - 5*l. Let r(w) = 5*w**3 - 2*w**2 + 8*w - 17. Calculate 8*a(d) + 5*r(d).\nAnswer: d**3 - 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*i + 3. Let l(v) = -2*v**3 + 10*v**2 - 6*v + 1. Let f be l(4). Suppose -3*s = -12*s + f. Which is the nearest to s? (a) 2\/3 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {c: 2, u: 10, m: 4, k: 4}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12780421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -676, -5, 0.4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151.7912 + 0.7912. Put x, 3, -25\/4 in descending order.\nAnswer: 3, -25\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156254, -156240, -156212, -156164, -156090, -155984, -155840, -155652?\nAnswer: -155414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4347325 divided by 4\nAnswer: -4347325\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -220414?\nAnswer: -220413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1281598 greater than -1281598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:19 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v**2 - v)*(-2*v + 0 + 0)*(-4 + 4 + 4).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 + 38 - 6*f)*(-2*f**3 + 4*f**2 - 4*f**2) - 7*f**4 + 1172*f**3 - 587*f**3 - 583*f**3 as c*f**3 + q*f**4 + b*f + m*f**2 + a and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*15\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(12)\/(sqrt(4) - sqrt(100)) + 5)**2 - 2*(sqrt(243) + -4 - sqrt(243))).\nAnswer: -2655\/16 + 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/45 in 0.235, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 17 + 1 = -4*t + 26, n + 96*t - 95*t = 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 163, -10 in descending order.\nAnswer: 163, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69407, -138910, -208415, -277922, -347431, -416942?\nAnswer: -486455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42948 + -42953. Sort -70, -51, 5, y, -3 in descending order.\nAnswer: 5, -3, y, -51, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - 12*u**3 - 2 + 4*u**4 + 3*u + 6*u**3 in the form q*u**2 + y*u**3 + j + b*u**4 + s*u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -4, 2, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.87 + 289.87. Let b = 287.6 - r. What is the biggest value in 0, b, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 10. Let k be j(-3). What is the second smallest value in k, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517638877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 838*g**2\/3 - 89024*g\/3 - 86528.\nAnswer: -2*(g + 3)*(g + 208)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 7095750.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*l + 167 = 2*t, -4*t + 5*l + 261 = 0. Solve 7*k - 31 + t = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + 3\/(-6). Suppose w - 1 = -2*c, 3*c - 2*w - 5 = -0*w. Let i be c\/(-2 + 5\/2). Solve -4*y + i*y - 6 = m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*(x\/(x*x*x*x\/(x**(-1\/2)*x)))\/x))*x**6*(x**(-2\/7))**9)\/((x**2\/(x*x*x\/x**2))\/(x**6\/x**(-6))) assuming x is positive.\nAnswer: x**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 0*q)*(-3*q + 3*q - 2*q) + 3*q**2 + 3*q**2 - 4*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682\/176 + (-8)\/2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 13 = -5*q + 1, -q = 3*b + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11424 and 19098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11517 (base 15) in base 14?\nAnswer: -16151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2.9 (b) -13 (c) -0.1 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -55. Suppose 9*m + c = 8*m. Put -7, -4, m in descending order.\nAnswer: m, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 - 22 - 2745\/95\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3.6, 5, -4?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, 0.13, 5, 62\/97, -0.2, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h + 131*h + 4*d + 2974 = 0, 5*d = -2*h - 110 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -19. Calculate the remainder when 74 is divided by r\/252*9 - (-346)\/14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1464*x**2. Let l(j) = -42*j**2 - 288*j. Let q(o) = 8*o**2 + 54*o. Let f(w) = -3*l(w) - 16*q(w). Calculate t(f(v)).\nAnswer: -5856*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 196 = -3*q + q, -q = 5*u - 252. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-7\/8)\/f)\/f)\/f*f**(-36))\/(f*f**(-5\/2)*f**41*f*f))**(-13) assuming f is positive.\nAnswer: f**(8359\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10)**(-3\/29)*(((i*i*i**(1\/6))\/i)\/i)\/i*i*i\/i**(4\/9) assuming i is positive.\nAnswer: i**(-163\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 1)\/(2\/13). Suppose x + 15 = -g. Let c = 45 + x. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 3*c + 168. Let i = c - 27. What is the fourth biggest value in 5, i, 0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145491 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11 = -4*c + 67, -5*c + n + 99 = 0. Let j = 17 - 9. Suppose -j = -4*d + 8. Solve -d*f + 4*z = -c, -3*f + 13 = -z + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11472?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, s: 5}. Give prob of picking 2 h.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*w + 31*w - 91*w - 7*x + 486, 5*w + x - 22 = 2*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.8 in -0.5, -0.3, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 6, u: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 414 divided by -138\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 127, 182, 221, 238?\n\"Answer: -x**3 + x**2 + 69*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 34.1. Let s = -5.6 + 6. Let q = -0.108 - -1.108. Which is the closest to 0.1? (a) k (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -28*f**3 + 4*f**2 + 4*f. Let z(p) = -p**2 - p + 2272 + p**3 - 2272. Determine -w(t) - 4*z(t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 5*w**2 + 4*w - 10. Calculate the remainder when h(4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86703*b**3 - 6*b**2 + 1089*b + 28.\nAnswer: 520218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-8060)\/(-1035)) - (24 - (-15666)\/(-651))?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, h: 2}. What is prob of sequence yyh?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o - 156. Let h = 34 + -46. Let u = h - o. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 4, -1.4, -146, -0.4?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864279?\nAnswer: 557, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 15*p**3 - p**2 + p + 1. Let g be y(-1). Suppose -2 = q - 48. Let t = q + g. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 9 + 11 + f)*(1 - 2 + 0)*(-2 - 11 + 4)*(0*f**4 - f**4 + 0*f**4).\nAnswer: -9*f**5 - 684*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 2. Let k be y(6). Suppose -k*m + 248 = -3*n, -2*m + n + 11 + 113 = 0. Suppose -5*u + 33 + m = 0. What is the greatest common divisor of u and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 0*f + 2*f**2 + (5*f - 4*f + f)*(f - 1 + 1) + (-f + 6 - 6)*(-3*f + 2*f + 0*f) to b + y*f + z*f**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0. Let l(s) = 10 - 6 - 14 - 23 + 3*s. Let r be l(11). Which is the nearest to g? (a) 8 (b) -1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 17 + 2*k + 14 + 3*k**2)*(116*k**2 + 3*k - 114*k**2 + 4*k) to the form n*k**3 + f*k**4 + m*k + j + x*k**2 and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 2, m: 9, s: 4}. What is prob of picking 1 s and 1 i?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 13*o - 20. Calculate c(-14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/20 + 5)\/(12\/8 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 0*r**3 + 3*r**3 + (3 - 3 + 2*r)*(-r**2 - r**2 + 3*r**2))*(-63 + 11*r + 63 + (-r + r - r)*(6 - 4 + 0)).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 2:08 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1302)\/(-24) + (4 + (-95)\/19)\/4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0*j + 4*w + 20, -3*w - 27 = -5*j. Solve 0 = 3*k - 3*o + 6, 2*k + 0*o - o = -j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19474 is divided by 4578.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -666378 and 3.3.\nAnswer: -2199047.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by (-1 - 113\/3)*(624\/32 + -21).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -31 - 4*r + 0*r - 2*r + r. Let f be i(-7). Suppose 3 = -w - h, -h + 5 = -5*w - f*h. Calculate the least common multiple of 54 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48010 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/12 and 780\/(-126) - 6\/(-3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506096526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809969?\nAnswer: 367, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 163742 and 163742 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7.86607*104\nAnswer: 818.07128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6384 + -9384. What is q rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndddeeododeroooerood. Give prob of picking 1 d and 1 r.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 2 - 3*l + 0)*(-12514*l + 4 + 6226*l + 6260*l).\nAnswer: -112*l**2 - 40*l + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445544175 by 148514725.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j + 15*j = -27*j - 63 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 571*l**2 + 1255*l + 2. Let r(x) = -3*x**3 - 2*x**2 - x + 1. Let f(c) = -2*r(c) + s(c). Find the second derivative of f(t) wrt t.\nAnswer: 30*t + 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 185*v**2 - 6388*v - 862. Calculate n(139).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/2 - 2380*j - 23850 = 0.\nAnswer: -10, 4770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**3 - 96*c**2 + 881*c - 12763. Determine g(14).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 31176067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.5643 rounded to 1 dp?\nAnswer: -227.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1139 and 2517391.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -16*u. Let p(l) be the first derivative of l**6\/360 + 16*l**3\/3 + 4. Let v(z) be the third derivative of p(z). Give v(i(m)).\nAnswer: 256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 4*d - 11. Let y be g(5). Let b = y + -71. What is the smallest value in b, 1\/2, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1469, 5, -4, -242, 0 in ascending order.\nAnswer: -242, -4, 0, 5, 1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23136797*x + 11565312*x + 11571483*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 less than 29.134?\nAnswer: 30.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**3 + 41*w - 41*w + (-2*w + 4*w + 0*w)*(w - w - 10*w)*(2*w - 4*w + 0*w + 1).\nAnswer: 34*w**3 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -363 - -513. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 - 214. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 64\/3, 4, -6, 2.316, 12?\nAnswer: 2.316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*x - x - 11432, -3*n + 45813 = 4*x. Suppose -4*f = -5*f - v - 2862, -5*v + x = -4*f. Is 0\/3 - 0 - f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 2 + 0)*(0 + 1 + 5) + 1 - 2 - 3)*(-3*m + m - 2*m) - 5*m - 2*m + 5*m.\nAnswer: 110*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 24*j**2 - 32*j - 12.\nAnswer: 4*(j - 3)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(138\/(-115)*(-10)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(24 - 7)*(-16)\/6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t + 21. Let p be n(15). Let u = p + 122. Is ((-1134)\/u - 1)\/(1\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, 1 e, and 1 k when four letters picked without replacement from iqiekbbooqoqooq.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30 + (6 - (-72)\/(-4)). Solve 5*r + 8 = o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 515 = -2*y, 3*y + 669 = -2*n + 1474. What is the highest common divisor of y and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 36*p**2 - 53*p + 595. Determine f(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88045 and 400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.2 + -59. Which is the nearest to y? (a) -2\/7 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/3 - 322*m**2\/3 - 25649*m\/3 + 25972\/3 = 0 for m.\nAnswer: -172, -151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:54 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 28*b - 1. Suppose -8*i = -x - 6*i - 8, -4*x + 28 = 4*i. Let u(j) = -24*j. Let c(o) = x*u(o) + 3*a(o). Let l(d) = -d. What is l(c(r))?\nAnswer: -36*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - (4 + -14) - 8 - -33?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 446431 less than 39.3?\nAnswer: -446391.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 17*x + 91. Give d(20).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and (4\/(-7))\/(-6 + 581\/98).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + sqrt(720) + -1 + -5)*-5)**2 + ((1 + sqrt(720))*6 - -4*(0 + sqrt(720)))**2 + -4)*4.\nAnswer: -23040*sqrt(5) + 579728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 169*j**2 + 4579*j + 1786. Calculate c(135).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/13 + 2\/13*f**2 + 4\/13*f = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3 - 3)*(-2*c**4 - 2 + 2) + 678 + 3044425*c**5 + 2457 - 3044424*c**5.\nAnswer: -c**5 + 3135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnttn. What is prob of picking 1 n and 1 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.365 - 69.035. Let o = 76 + d. Let z = o + -6.5906. Round z to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -727 - -3109. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5982 * 0.02\nAnswer: 119.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 18. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 8 = 0. Suppose t + 2*w = 4, -4*t = -3*w + 3 - v. Suppose -304 = -4*k + 5*n, -n + 151 = t*k - 1. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -q + 29. Let n = q + 59. Let h = n + -78. Calculate the remainder when h is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 1985. Let b = -283 + r. Is 3\/(1\/(b\/9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*d - 3. Let k be 5 + -1 - (-2 + d). Suppose x + 20 = k*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 640 and 9088?\nAnswer: 45440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 101136?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 + 82938*o**2 - 573143040*o - 1146617856 = 0. Calculate o.\nAnswer: -2, 13824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 295 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900457 is divided by 950062.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*g**4 + 813 - 813 + (-g - 3*g + 2*g)*(0 + 0 - 2*g**3) - g**4 - g**4 + 3*g**4 + (g**2 + 0*g**2 + g**2)*(1 + g**2 - 1).\nAnswer: -31*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 9295.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*i*r**3 + 575*i*r*y + 2*i*y - 4737*r**3*y + 15*r*y - 3*r wrt r.\nAnswer: -186*i*r - 28422*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (1 + 0 - (120 + -110))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 26*q + 335. Let s be m(-13). Put 2, s, -364 in increasing order.\nAnswer: -364, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6989 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47003*c**3 - 23860*c**3 - 23140*c**3 + 11.\nAnswer: 3*c**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -41, -82, -147, -242, -373, -546?\n\"Answer: -j**3 - 3*j**2 - 7*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 + 542 = 76*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2 + (-3)\/(-2)). Suppose h + 5*q + 27 = -0*h, 0 = u*q + 20. List the prime factors of h\/(4 + -3)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - (8 - 14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457 + 457. Suppose l = -2*k - 559 + 1645. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 953535.8ml?\nAnswer: 953.5358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/13 (b) -1 (c) 0.05082 (d) -4 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -210783, -417736, -624689, -831642, -1038595?\n\"Answer: -206953*s - 3830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -7\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-54) + 50\/18. Let u(k) = -p*k + k + 5 + k. Let o(s) be the first derivative of s**2 - 12*s - 9. Calculate 5*o(x) + 12*u(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -17*i**3 + 6*i**2 - 6*i - 6. Let l be (-1)\/((34\/6 - 5)*18\/12). Let w(h) = -h**2 + h + 1. Give l*d(v) - 6*w(v).\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(52)\/sqrt(4)*6)**2 - ((sqrt(832) + 0)*-5)**2 - (0 + ((sqrt(13) - sqrt(104)\/sqrt(2)) + sqrt(13) + -2*sqrt(13) + 1)**2*4).\nAnswer: -20545 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -32 - 3*x**2 + 0*x + 7\/24*x**4 + 1\/6*x**3 - 31\/15*x**5. What is the second derivative of a(d) wrt d?\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2\/9 (b) -20 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + -1*sqrt(1100) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/3)*m)\/(m**7\/m))\/((m\/m**(-2\/9)*m)\/m)**33 assuming m is positive.\nAnswer: m**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10009 - 10009.051235. Round t to 4 dps.\nAnswer: -0.0512","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002243182 rounded to 5 decimal places?\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 3*g - 2*g)*(-10*g + 31 - 31) in the form c*g**2 + m*g + k and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = -3*f, f = 2*h - 20. Suppose p + 2*p - 54 = 0. Calculate the least common multiple of p and 3\/(h\/8 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1185 (base 10) to base 11.\nAnswer: -988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - 2\/(-6). Let p(r) = -3*r - 59. Let h be -9*((-95)\/(-15) - 4). Let j be p(h). Solve -4*v - 9*u + 4*u = 10, v + 2*u + j = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 6*c + 6. Let t be w(-3). Suppose t*k - 13 = 17. Solve -4*x + k*s + 3 + 7 = 0, -2*x = -5*s + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 39*u**3 - 495*u**2 - 2025*u.\nAnswer: -u*(u + 9)*(u + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/(2\/(-15)). Let c be 88\/14 + l\/(-21). Find the common denominator of -37\/18 and ((-15)\/70)\/(c\/(-202)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15121*z + 3 - 15121*z - 15*z**3 - 2.\nAnswer: -15*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57828 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2666643 is divided by 1054.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000160231 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-22))\/((-179)\/(47256\/(-20)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (9 - 32) + 143 - 1 - (-15 + 3)\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l - 15. Let t(d) = 7*d - 8. Let c(y) = 4*n(y) - 7*t(y). Calculate c(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.29?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggpspggsggg. Give prob of sequence gsps.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (18 + -40 + 7 - -16 - 59)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 212 + -81. Let y = -73 + q. What are the prime factors of y?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3424*j = -4252*j - 25668 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 15*q**2 + q + 2. What is the remainder when h(15) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 9 = -3*x, -2*p - 6*x - 4*x - 6 = -12*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312575 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 64. Let t = a + -40. Solve -t - 4 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 1 - 5)*(6*h**2 + 10*h**4 - 6*h**2).\nAnswer: -120*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6153, 24628, 55419, 98526, 153949?\nAnswer: 221688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -3*u + 4. Let l = -1 - u. Suppose -2*g + 0*g + 8 = l. Solve -g*t = -t + 4*i - 7, 5*i - 9 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8356.3768 and 1.\nAnswer: -8355.3768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 552*c - 556*c + 1020. List the prime factors of c.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 89.999999996. Round h to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + 181. Let k be 9\/(x\/(-9) + 155\/900). Round k to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {m: 10, e: 1, q: 6}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*b - p, 0 = -5*b + 3*p - 40 - 30. Let k = 14 + b. Factor k*r - 3*r**2 + 0*r + 5*r**2 - 2*r.\nAnswer: 2*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvpvvvvvvvvvpvppv. What is prob of sequence ppv?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.98 rounded to the nearest integer?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.72 times -0.2?\nAnswer: -176.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31626775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 4*l - 4*l + (4*l**3 - 2*l**3 - l**3)*(-l**2 - l**2 + 0*l**2) + (l + l + 0*l)*(-9*l**3 + 5*l**4 + 9*l**3).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263 and 59701.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 130950?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12124 + 12122. What is the nearest to 0 in 0, t, 1\/6, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 33*l**2 + 14. What is the tens digit of m(33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02593 times 17858\nAnswer: -463.05794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**6\/120 + 7*j**5\/60 + 3*j**4\/8 + 3*j**3\/2 + 64*j**2 + 1. Give y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.57 + -0.47. Which is the closest to 1? (a) r (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28.24? (a) 0.3 (b) -3\/2 (c) -3.1 (d) 0.5 (e) 6 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i. Let w(c) = 8*c**2 - 7*c - 4. Let x(m) = 5*w(m) + 35*z(m). Determine s, given that x(s) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68930, -137874, -206816, -275756, -344694, -413630?\n\"Answer: x**2 - 68947*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 34?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 16. Calculate the common denominator of w + 19*(-2)\/8 and 29\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 49*n - 72. Calculate d(-48).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 - 2*a - 3. Let n be b(3). Suppose n = 2*i - 26 - 2. Let h = 3 + 2. Calculate the remainder when i is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85266 - -15347953\/180. Find the common denominator of 119\/324 and q.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -501 + 4691*r + 4382*r - 231 - 9840*r wrt r?\nAnswer: -767","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 13 + 5 = -2*m, -5*z + 1 = -2*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5\/9 - 2852*v**4\/3 - 25634*v**3\/9 + 22808*v**2\/3 + 102568*v\/9 - 15200 = 0?\nAnswer: -4275, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 1 + 4*o + 3.\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let h(k) = -91959923*k. Determine h(v(p)).\nAnswer: -91959923*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1113567 by -7.\nAnswer: 159081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1520.41 to the nearest 10.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -74 - 17. Suppose 3*l - n = 92. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -965 + 968. Let s(w) = w**2 - 2*w - 5. Determine s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, c: 3, l: 1, r: 2, h: 9}. Give prob of picking 1 r, 2 c, and 1 l.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 2 w when four letters picked without replacement from ydwwkwwwwwwdwwdk?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**4 + 72*p**4 + 5*p - 2*p**2 - 3*p + p**3 - 22*p**4 as q*p**2 + g*p**3 + a*p + k*p**4 + x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 21 = -35. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -220110102?\nAnswer: 220102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 - -186. Sort -5, 1, 3, u.\nAnswer: -5, u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248656 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*o**2 + 54*o**2 - 177*o**2 - 70*o**2.\nAnswer: -302*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*g - 5*w, 6*w - 2*w + 4 = 0. Let z = 28 + g. Suppose -2*m = -4*a + 3*m + 7, 2*m = 2. Solve 2*r - z = -a*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -22*q. Let a be c(-4). Let o be (-2)\/2*336\/(-12). Suppose o = 3*s - 5. Calculate the highest common factor of a and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 0 - 4*h**2 + 5*h**2 - 3 + 0*h. Let n be i(4). Solve -n*z = -3*c + 2 - 0, -4*z - 4*c = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62607 - 29320. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.2 * 171.06\nAnswer: 2086.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 3*f**3 - 3*f - 2*f**3 + 4*f**3 - 11 to the form q*f**2 + x*f**3 + a + w*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-185)\/20 - -10)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2*a**3\/33 - a**2\/11 + 8. Factor x(w).\nAnswer: 2*w*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38\/9 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -215.65.\nAnswer: 215.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2069*y**2 - 2260*y**2 + 1247*y**2.\nAnswer: -3082*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z**3 + 4*z**2 - 4*z. Let x(y) = -29*y**3 - 11*y**2 + 11*y. Give -11*v(c) - 4*x(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*b - 16759 + 16759.\nAnswer: 468*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10026.1 - 10034.0709. What is s rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-6\/7)\/s*s))\/s*s**(3\/2)*(s**(-1))**39 assuming s is positive.\nAnswer: s**(-499\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.54+89.7\nAnswer: 90.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 25*b**2 - 320*b - 19. What is the thousands digit of f(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/7 + (-650)\/(-840) - 1\/4. Factor -2\/3 + x*s**3 + 2\/3*s**2 - 2\/3*s.\nAnswer: 2*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 9. Let r be q(9). Let l be (-7)\/((-35)\/15) + r. What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65012195\/679 - 95747. Let x = -23981\/8148 - n. What is the common denominator of x and -13\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 430332772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 - 1029 + 351 + 343 + 335 - 2*q + 5*q**2.\nAnswer: 13*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 459109.2 millennia in months?\nAnswer: 5509310400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21377, 21403, 21433, 21467, 21505, 21547?\n\"Answer: 2*l**2 + 20*l + 21355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/32)\/((-6)\/(-1)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.5 - 7. Let w = 8 + -8.4. What is the smallest value in d, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + r - 367 - 379 + 44 - 573 to the form y + q*r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/9 + 506*q\/9 - 12272\/3 = 0. Calculate q.\nAnswer: -312, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**2 - 20*c + 5. Let m be v(3). Let z(r) = r**3 + 5*r**2 - 7*r. Let d be z(-6). Put 3, d, m in increasing order.\nAnswer: m, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 11*v + 10. Let a be i(-11). Suppose 4*r = -5*l + 49, -3*l = -a*r + 8*r - 25. Calculate the remainder when 31 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6617394 by 1102899.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 7 = -3*a, 0 = 2*s - 4*s - 4*a + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.8187 + -0.1813. Which is the closest to -0.1? (a) 4 (b) x (c) -1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2 = 5*f, v + 10*f - 12*f = -1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -194?\nAnswer: 9\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, p: 2}. What is prob of sequence pf?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2745*m = -36448 - 40412 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or -14253?\nAnswer: -14253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221 or 58704\/265?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3*(-2)\/21)\/(120\/(-2198)) and ((-51)\/108)\/(4\/18*3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2009292 and -67\/936?\nAnswer: 156724776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3448 and 51636386.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/60 - 9*l**4\/8 - 10*l**3\/3 + 236*l**2. Let n = -35 - -20. What is the units digit of f(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 516603?\nAnswer: -5165a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m - 54. Let y(a) = a - 6. Let b be y(6). Suppose -5*l + 20 = b, 4*z - l - 2*l - 8 = 0. Calculate the remainder when m is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -1 (b) 41 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((30680\/300)\/(-59))\/((-3)\/180)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30600 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 2 (b) -4 (c) 11380\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.2 (b) 1 (c) 561 (d) 2 (e) -389.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 10:07 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 52680 divided by -4\nAnswer: -13170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -183*y**2\/7 + 7692*y\/7 - 36.\nAnswer: -3*(y - 42)*(61*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ac (base 13) in base 2?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n - 38. Let z be f(10). Let a(p) = 2*p**2 + 2*p + 1. Give a(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/2979371 and 37\/4038?\nAnswer: 17876226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 125. What is the remainder when n(-8) is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(4 + (sqrt(684) - (-6*(sqrt(684) + 1 + sqrt(684)) + sqrt(684) - sqrt(684)) - (sqrt(684) - (5 + -1 + sqrt(684)))) + 5)*-5)**2.\nAnswer: 2681640*sqrt(19) + 104364729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1055 and 37\/568735.\nAnswer: 120003085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/3, 43, -0.4, 50\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 72 - 131 = -72 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4740966 to the nearest integer?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 0*y + 3*y + 4*y - 3*y + y + (0*y + y - 3*y)*(1 - 4 + 1) - y - 2*y + 2*y + 4*y - 2 + 2 - y + y + 3*y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 24705*o**2 + 2069586*o - 13275528.\nAnswer: -3*(o - 76)*(o - 7)*(o + 8318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 48*j - 15. Let i(f) = 10*f. Determine i(w(d)).\nAnswer: 480*d - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 - r)*(r + r + r).\nAnswer: -3*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 105?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 7*h**2 + 17*h - 9. Let n be a(-9). Suppose -3*x + 2*v + 600 = n, -6*x - 4*v = -7*x + 210. Calculate the remainder when x is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393711 by 424.\nAnswer: 393711\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -305 + 266. Let u be t\/(-52) - (13\/(-4))\/1. Let p(h) = -h + 3. Let l be p(3). Which is the third biggest value? (a) u (b) l (c) -5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44676 = -258*n + 255*n - 3*t, n + 4*t - 14874 = 0. Calculate the highest common factor of n and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h**3 + 0*h**4 + 0 + 4*h**2 + 0*h + 1\/30*h**5. Factor y(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4861135, -5 in decreasing order.\nAnswer: 4861135, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48496 and 71344.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1308114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.722179 milligrams to grams.\nAnswer: 0.000722179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(45\/39 + (-4)\/26). Let a be 14 + q + -2*1. Solve 20 = -a*y + 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1313136 (base 7) to base 11\nAnswer: 1079a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 130927 - 3.08\nAnswer: 130923.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4 - 19530368*l**3 + 313345436*l**2 wrt l?\nAnswer: 48*l - 117182208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 0*m**2 + 2 - 1\/3*m**3 + 0*m - 3\/4*m**4. What is the third derivative of l(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 199.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n = -51*n + 2*d + 36, 41*n + 22 = 4*d - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 28 = -30, 3*c - 2*v - 22 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 - -597da?\nAnswer: 597a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 214791402 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: Let s(m) = -m**3 - 2*m**2 + 1. Let t be (-66)\/11*2\/(-12). Let j be (-1 + 1)\/3*t. Let c be j + -3*(-1)\/(-3). What is s(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + x + 3*x + 11*x**2 + 1 + x. Let w be i(-2). Suppose 5*l - u - w = 0, 5*u - 2*u - 27 = -3*l. Calculate the greatest common divisor of l and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/sqrt(90)*-1.\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 611.1395 decades?\nAnswer: 6111.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**3 + 6*k**3 - 15*k**3 + 4*k**3 - 6*k**3.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 88930, 4 in descending order.\nAnswer: 88930, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2769*f**2\/4 + 5535*f\/4 + 3\/2.\nAnswer: -3*(f - 2)*(923*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2458200 by -24582.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63311 is divided by 31655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {u: 7, n: 4, d: 2}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 11\/25765441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojojoooojoojjvojjojj. What is prob of picking 1 v and 3 j?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujr. What is prob of picking 1 j and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a37182 (base 13) to base 14.\nAnswer: -120d11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouooeooouoeoeueo. Give prob of sequence oo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppptpppppt. Give prob of sequence tt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 17*p**2 + 44*p - 20. Let r be o(14). Let i = 76.1 - 76. Which is the smallest value? (a) i (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 103488253 and 103488254 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 9983 - 1458 = 0. Suppose -6*z + s = -z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052411155 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*q - 167 + 167)*(8*q - 2 + 2) - 2*q**2 + 1 - 1 + (-q + 0*q + 3*q)*(2*q - 3 + 3) + (0*q - q + 2*q)*(3*q - 3*q + 2*q).\nAnswer: 668*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 1, f: 2, h: 4, q: 1}. Give prob of sequence ohh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -453.999999858 + 454. What is w rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 + 3*f**2 + 17*f - 36. What is k(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 16*s**2 - 59*s + 519. Calculate g(12).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 115. What is z(-65)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f**3 - 8*f - f + 9*f.\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 518838.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + 0 + 0 - sqrt(1088)*2).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98424*c**2*k**2*p**2 + 4*c**2*k*p**2 - c**2*k*p + 14*c*k*p - 3*c + k**2*p**2 - 21*k*p wrt k?\nAnswer: 196848*c**2*p**2 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8179.881 seconds to minutes.\nAnswer: 136.33135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmammmmmamaaaaajja. Give prob of picking 2 j and 2 a.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 17 = -2*n. Suppose -25*q + n*s = -22*q + 1, -4*s + 5 = -5*q. Let a = 10 - 7. Solve 4*b - q*g = 19, g + 17 = b + a*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13976037 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-8))\/(16\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4811, 9618, 14425, 19232, 24039?\n\"Answer: 4807*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/904 or 19831?\nAnswer: 19831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -359357449*d**2 + 223017809*d wrt d?\nAnswer: -718714898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.4 + -7. Suppose k - 45 = 10*k. Sort k, j, -2\/5.\nAnswer: k, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w + 20. Let p(k) be the second derivative of k**3\/2 - 7*k**2\/2 + k. Let b = -324 + 310. Let i = -9 - -4. Give b*p(t) + i*q(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2404*i - 1520*i + 1274*i - 1906*i)*(0*i - i + 4*i) to the form a*i + v*i**2 + c and give v.\nAnswer: -13668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4937437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880578 to the power of 1\/2, to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16557984 = 59*l - 57*l, 0 = 3*l + 5*q - 24837020. What is l rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6568217.\nAnswer: 6568217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1592 - -2724. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0418 in -0.4, -31, 5\/53, 1\/2?\nAnswer: 5\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -2. Suppose 8*s = -23 - x. Which is the third smallest value? (a) s (b) -2\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -6*m + 22. What is the lowest common multiple of -18*((-6)\/(-10) + 22\/(-20)) and m?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2936 and 217294828.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g**2 + 8*g + 14. Let z be f(-1). Let u = -4.6 + 5. What is the nearest to -1 in 3\/5, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 + p + 12*p**2 - 65*p**3.\nAnswer: -65*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 0 + 0 + 15*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u + 81. Let t(a) = 13*a - 100. Let d(z) = 5*r(z) + 4*t(z). Suppose 0 = k + 3*y + 4 + 6, 0 = y + 2. Calculate d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -7*x**4\/24 + 37*x**3\/6 - 5040*x**2. What is s(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 4)*(3 - 3 + 2*w**5) + 4*w**5 - 4*w**5 - w**5.\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 301917 + -3179917. What is k rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 9096666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.481 + -0.190921\nAnswer: -3.671921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -444? (a) -1 (b) 3 (c) -1.5 (d) 0.3 (e) -350\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -23 - -20) + -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 2:08 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.45 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from iyiiyyyiyyyiyyyiyy.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9*0)\/1. Suppose 2*c = z - 9, d = -2*z - c - c. Let p(b) = -b + 5. What is the units digit of p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193248510 rounded to the nearest one million?\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 43. What is z(-31)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -318819.760028 + 318819. Let q = 0.76 + r. What is q rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -20*c**2. Let w(l) = 165*l + 9088. Calculate w(r(i)).\nAnswer: -3300*i**2 + 9088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/567)\/((54\/42)\/(-9)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -33*y**4 + 135*y**3 - 270*y**2 + 243*y - 75. Let f(k) = -k**5 - 33*k**4 + 134*k**3 - 270*k**2 + 243*k - 73. Let o(s) = -3*f(s) + 4*v(s). Factor o(i).\nAnswer: 3*(i - 3)**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-6 - 5) + 21 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2715, -3865, -5015, -6165, -7315?\n\"Answer: -1150*v - 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 205*h**3 + h**2 - 15. Let i(v) = -102*v**3 - v**2 + 7. Let j(o) = -5*i(o) - 3*u(o). Find the third derivative of j(d) wrt d.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*i - 62 = 0, 2*i + 4 = -0*i. Let s be (-4)\/m + 96\/42. Factor 0*k**s + 0*k**4 + 0 + 0*k + 2\/5*k**5 - 2\/5*k**3.\nAnswer: 2*k**3*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4425)\/9 - (-1)\/(0 + -3). Is 28 a factor of 0 + (w\/(-4) - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592627, -1184944, -1777261, -2369578, -2961895?\nAnswer: -3554212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -691\/2812 + -3\/703. Which is the biggest value? (a) 1\/10 (b) n (c) -0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 8*j - 22*j + 11*j)*(4535 - 92*j**3 - 4535) to the form c*j**4 + w*j**3 + g*j**2 + u + z*j and give c.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a + 108 = 0. Suppose -4*k - 5*m + 23 + 93 = 0, -4*k - 3*m + a = 0. What is the smallest common multiple of 33 and k?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003823975483 rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-6)\/54*3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -3*d**2\/2 + 3. Let g = -58 - -56. Determine r(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*q + 493, -n + 122*q - 125*q + 125 = 0. Calculate the greatest common divisor of n and 53924.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -753, -3046, -6875, -12246, -19165, -27638?\n\"Answer: -j**3 - 762*j**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(36\/40 + -1))\/2. Let m be 1 - ((t - 4) + -2). Suppose 3*j = m*j, 4 = w - 3*j. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**5 - 13*z**4 - 23*z**3 + 13*z**2 + 6. Let h(q) = q**5 - q**4 - 2*q**3 + q**2 - 2*q + 1. Let o(s) = -d(s) + 6*h(s). Determine p so that o(p) = 0.\nAnswer: -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -8 + 16 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 4*p + 9. What is v(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/((-2)\/(-48)). Let b be ((-1)\/2)\/((-4)\/x). Let h be 3\/(-6)*b*6. What is the highest common divisor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 573*z - 11 - 10 - 11 in the form y + r*z and give r.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15671 * 17.\nAnswer: -266407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 4)*(2 - 2 - o) - o + 0*o - o)*(0 + 6 - 1).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3844601.\nAnswer: 17, 139, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 6, 4, 16, 48?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 77. Is b\/(8\/(-940))*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.97 + -8. Let b = 0.37 - w. What is the third biggest value in 0.3, b, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {q: 1, c: 1, h: 8, t: 7}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 + -102. Solve -c = 5*v - o, -2*v + 1 = 2*c - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3)*z**(-4)*z\/z**3*z*z*z**(-4)*z)**(-1\/10) assuming z is positive.\nAnswer: z**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2201121 and 58617?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-7) - 3\/7. Suppose -2*c - 1 + 3 = a, -o + 3887 = 3*c. Let k = o - 15457\/4. Find the common denominator of k and -83\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 114. Let j be r(0). Let f = 56 - j. What are the prime factors of f?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39100 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209.2 or 12\/25?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302319500 by 850.\nAnswer: 355670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + (6 - 7) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (1 + 1 - 5). Let z(n) = -n - 3. Let v be z(0). Is 6\/l*(-20)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -403.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 713 + -708. Solve 0 = 3*c + l + 13 - 1, c + 4 = h*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b. Let s(y) be the first derivative of 12 + 0*y + 3\/2*y**2. Calculate s(j(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -16837 = -14947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - c + 69. Let r be o(0). Calculate the highest common factor of 147 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/1)\/(2\/4). Let v be (-9 - (-60)\/6)\/((-1)\/7). Is v equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 50072 = 0. Suppose -r = -14*i + 8888. Suppose -2*y - 9*y = -i. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 20*y**2 - 356*y + 6850. Determine r(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.30998 and -650368630?\nAnswer: 650368629.69002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16850 and 6066?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*-3 + (-1*(sqrt(7) + 1) + sqrt(7))**2 - ((sqrt(420) + sqrt(420)*3)\/sqrt(10))\/sqrt(6).\nAnswer: -7*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 9*j**2 + 1. Let x be r(-6). Suppose -5*b = 4*s - x, -s - b - 37 = -3*s. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 48. Let c be m(-14). Let u(y) = c*y**3 - 21*y**3 + 7*y**2 - 8 - 2*y - 2*y. Suppose 0 = j - 0*j - 6. Determine u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/268 and 65\/1608?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2552 (base 10) to base 7\nAnswer: -10304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 4*i)*(-4*i + 3*i + 3*i)*(-2*i**2 + 1 - 1).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949890768 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944*h + 192 = -928*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.00638 - 89.31638. Let v = h + 90. Let r = v - 0.69059. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*j + 2*o, -3*j - 5 = -3*o + 4. Let b be -18*(3\/(-6) + j). Solve 0 = 5*v - 3*n + b, 3 = v - 4*n - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549181 divided by -43?\nAnswer: 1549181\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51552 (base 15) in base 7?\nAnswer: 2122214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 681.0067 - 681. What is d rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 5)*(-f**2 + 5 - 15303*f + 4*f**2 + 15278*f) to a*f + g + k*f**2 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 34592566877440.\nAnswer: -34592566877440.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-16))\/(4\/20*24\/16)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 8*h**2 + 35*h + 10981. What is t(4)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*z + 45, -4*s + 2*z = 4*z - 48. Let o(i) = i - 18 - s + 28. Let q(l) = -l**2 - 7*l + 7. Calculate -6*o(x) - q(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 - 3*g**3 + 2*g**3)*(g - g + g)*(620 - 69 + 1392) in the form q*g**2 + y*g + t*g**4 + w + n*g**3 and give t.\nAnswer: 3886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*l + 202*l - 119*l + (3 + 0 - 4)*(3*l + 0*l - 5*l) + 0 - 3*l + 0.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*4)\/((-18)\/28593*3). Suppose -6*s + v = -1002. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 271, 318, 403, 532, 711?\n\"Answer: m**3 + 13*m**2 + m + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j**2 - 57*j + 6. Let o(y) = -4*y**2 - 21*y + 2. Let q(g) = 3*a(g) - 8*o(g). Determine q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y**3 + y**2 - 2*y - 2. Let t be j(-1). Suppose -t*c = -3*c - 238. Calculate the greatest common factor of c and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/4)\/((m\/(m*m**(-8\/9)))\/m) assuming m is positive.\nAnswer: m**(-23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ea (base 16) to base 15.\nAnswer: 34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -31. Let k = s + -27. Let y = k - -50. What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**8\/84 + 6*f**7\/35 + 13*f**6\/30 - 3*f**5\/5 - 7*f**4\/3 + 980*f**2 - f + 1. Suppose b(o) = 0. Calculate o.\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1734 in decreasing order.\nAnswer: 1734, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*i**4 + 7682*i**6 - 9*i**4 - 6215*i**2 - 503*i**6 + 1033*i**6 wrt i.\nAnswer: 985440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4523, -36015, -121443, -287759, -561915?\nAnswer: -970863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 1, -0.05765, -6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 2*q**4 - 12*q. Let n(a) = -2. Let b(r) = -r**2 + 1. Let l(i) = 2*b(i) + n(i). Calculate l(d(g)).\nAnswer: -1152*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(0 + sqrt(252)) + (0 + sqrt(252) + 5 + sqrt(252) - (sqrt(252) + -1 + sqrt(252))*-6))**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-862 - 276 + 537 - 1031)*(-24*p**2 - 36*p + 34*p + 4*p**2).\nAnswer: 32640*p**2 + 3264*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-16) - 35\/8. Let n = -3 + 7. Let i = 2.02 + -0.02. Which is the biggest value? (a) r (b) 3\/5 (c) i (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f + 36. Let p(t) = 8*t - 37. Let i(a) = -6*c(a) - 5*p(a). Let k be i(18). Suppose 7*v - 110 = -k. What is the remainder when 42 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from woweeeeeeff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = 2*x, -4*x = -0*x - 12. Let w = 224\/327 + -2\/109. What is the nearest to c in -5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 11, 27, 1 in descending order.\nAnswer: 27, 11, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 115*j**2 - 630*j + 70. Let h(t) = -5*t**2 + 27*t - 3. Let y(g) = -70*h(g) - 3*q(g). Let c(k) = 854*k. What is y(c(x))?\nAnswer: 3646580*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/10 and 5*10*(-30)\/144?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102212 + -11?\nAnswer: 102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**9\/252 + v**5\/20 + 3*v**2\/2 + 2*v. Let l(s) be the first derivative of y(s). Find the third derivative of l(f) wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1414 + 1417. Which is the smallest value? (a) 28 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*6\/16 - 70\/(-168). Let k be 73\/(-44) + 9\/(-99). Sort 2\/21, z, 5, k in decreasing order.\nAnswer: 5, 2\/21, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -81298.79723.\nAnswer: 81299.79723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101001000110110011 (base 2) in base 14?\nAnswer: 2396cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:46 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -11*l**5\/60 + 78*l**2. Let q(z) be the second derivative of z**3\/3 + 3*z. Determine v(q(s)).\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 20*z + 167. Let p be l(10). Let k = 1102 + p. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/72)\/(7*(-7)\/(-98))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55186\/(-328)*8\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (sqrt(2178) + -2 + 4 - (-2 + (sqrt(2178) - -1*sqrt(2178)))) + -1)**2.\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2336*f - 2341*f + 75 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beq when three letters picked without replacement from qbobzzbobbezqbo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 25*p**2 + 10*p - 37. Give t(-24).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5944736687\/33 - 180160100. Let f = -16562 - k. Calculate the common denominator of f and -113\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3 = -3*n + 3*y, -3*y = -9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - d + 2*d)*(-d - d + 0*d) - 8 + 210*d**2 + 5 + 1 as f + i*d + k*d**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 18. Let c be g(8). Suppose 3*b + 12 = 4*d - c, 0 = d + 4*b - 14. Solve -5*x + 3*l - 7 = 0, 3 = 5*x - 2*l + d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 5*k**3 + 59. Let q(z) = 2*z. Determine q(c(p)).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 4*u + (u + u - 3*u)*(-3 + 6 - 2) - 3*u - 2*u + 3*u - 6*u + 10*u - 20 - 6*u)*(-1 - 1 + 1)*(-5*u + 5*u + 4*u).\nAnswer: 12*u**2 + 80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2 - 1\/2. Suppose -h*m + 249 + 53 = 0. Which is smaller: m or 152?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*0.0863.\nAnswer: 0.13808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540114837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -26*c**2 + 5*c - 5. Let s(w) = -65*w**2 + 13*w - 13. Let g be (-2805)\/(-748) + (1 - 1\/(-4)). Calculate g*s(b) - 13*q(b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1612 - 1612 - 1291*b)*(-3*b + 2*b + 2*b + 2).\nAnswer: -1291*b**2 - 2582*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*b)*(704*b - 98 - 342*b - 359*b + (-b + b + b)*(2 - 4 + 1))*(3*b**2 - b + b) to u*b**2 + x*b + z*b**3 + f*b**4 + t and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*y - 3*y + 575 = 0, -5*c + 4*y + 963 = 0. Suppose 5*b - 2*r - c = 0, -b + 3*r + 14 = -19. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 732, 717, 702?\n\"Answer: -15*m + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1164*f - 52. Let r be m(4). What is r rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 4) + -34 + 36 + (3 - -14)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/260276 and 29\/316200.\nAnswer: 663703800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 2*j + 8*j to the form t + v*j and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 593492846*k**2 + 0 - 593492850*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6174 divided by 6\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 38. Let z be w(18). Let j(y) = 44*y. Let t be j(z). Let a = t - 87. Solve s = 2*q + a, 10 = s + 5*q - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104895 and 179820.\nAnswer: 1258740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779 = -123*d + 164 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5256271 rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 - 26*n**2 - 13*n**2)*(1 + 0 + 2) - n**2 + 37*n - 46*n + 19*n - 1.\nAnswer: -136*n**2 + 10*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y\/y**3)\/y)*y*(y*y**(-5)\/y*y)\/y)**(1\/8)\/((y\/y**(2\/5)*(y\/(y**0*y))\/y)\/(y\/y**(-1\/4))**(-1\/7)) assuming y is positive.\nAnswer: y**(27\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4460 and 4460?\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (3 - -5))*3992\/(-48). Let k = 514 - r. Let q be ((-10)\/6)\/(2\/(-198)). Calculate the greatest common divisor of q and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g + 7. Let t be i(-5). What is the common denominator of (-9)\/((-207)\/115) + (-110)\/36 and (235\/34 - t) + -2?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 7. Let w be q(7). Suppose 65*l + 10233 - 11143 = 0. What is the remainder when w\/63 + 724\/18 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 1468, 2201, 2934, 3667, 4400?\nAnswer: 5133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4764 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316788 (base 9) to base 6.\nAnswer: 4013425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -37. Let b(c) = -c + 2*c - a - 2*c + 3*c**2. Let r be b(-1). Sort 0, r, -5, 1 in decreasing order.\nAnswer: r, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + (18 + 1 - (-44 - -52))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -11307\nAnswer: -124377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, 0.1, -18211\/5, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 + 0.1. Let g = -144.837 - -145. Let d = g + q. Round d to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22538917405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104614.\nAnswer: 2, 19, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162271433?\nAnswer: 1151, 140983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.453 + -0.153. Let f = 12.2 - 70. Let u = f + 58. What is the fourth smallest value in u, i, 0.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4763247 + 3)*(-6)\/(-81). Let m = b + 353771. Let r = m + -942. Find the common denominator of r and -71\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**3 + 368*b**2 - 34748*b + 530376 = 0?\nAnswer: -154, 21, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 100, 98, 94, 88, 80, 70?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + -14. Let s = -18 - z. Solve y = -0*h - 5*h + 23, s*y - 10 = -4*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 93 - 86. Calculate the remainder when 19 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - t - 36 = 0, -3*t + 1 = s - 3. Suppose 5*q = 5*b + 30, -b + 3*q - 5 = s. Let c = b - -5. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 111890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -25. Suppose -y - 2*n = -w*n - 18, -4*n = -5*y + 57. Let t = 170 - y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599191210 a multiple of 6139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*f*r**2 + 19*f*r + 2900*f + 2*r**2 - 1415*r - 108 wrt r?\nAnswer: -142*f*r + 19*f + 4*r - 1415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458289?\nAnswer: 3, 13, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/9*3 + -2. Let v(r) = 9*r - 4*r**l - 2*r + 5*r**2 + 6. What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280637880 to the nearest one million.\nAnswer: 281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 + v**2 - 2. Let f be ((-43)\/5 - 28\/70) + 4. Let k(t) = 7*t**3 - t**2 + 5. Give f*r(q) - 3*k(q).\nAnswer: -q**3 - 2*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -66. Calculate the smallest common multiple of p and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60544264139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*l + 35562 = -145*l + 295*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -530 (c) 259483\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -615983 and -92.\nAnswer: -616075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 2, i: 2, w: 1, c: 1}. Give prob of picking 1 e and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455885?\nAnswer: 5, 73, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 552 to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4826035t in kilograms?\nAnswer: 482.6035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4470.198014 rounded to the nearest 10?\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*b**3 + 1044*b**2 - 9816*b + 2720.\nAnswer: -4*(b - 20)*(b - 17)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/2 - 1335*u = 0.\nAnswer: 0, 2670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 350.0189 milligrams?\nAnswer: 350018900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = 2*j, -2*j - 2*j - 5*l = 2. Are 10\/9 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.388721.\nAnswer: -0.388721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614065735 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.5 + 49. What is the biggest value in -0.1, 0.01, s?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b*(b*b\/b**(3\/8))\/b))\/b)*b*b**5\/b*b)\/(b**0\/b*b*b*b*b)**(-42))**(1\/16) assuming b is positive.\nAnswer: b**(1069\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/128 and -45\/38.\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 2*845\/(-50). Let x = 141\/5 - w. Which is smaller: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 205 - a5bb?\nAnswer: -a3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -30, 28, 188, 498, 1006, 1760?\nAnswer: 2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 13801073*t - 13801072*t - 2 = 0, 0 = -3*y + 5*t + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77379 is divided by 1209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5992 less than -25203273947?\nAnswer: -25203273946.4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -1. Suppose -p + 25 - 2 = 0. Let x = 29 - p. Is l bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 4:36 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*x - 882. What is the tens digit of (-11865)\/x - (-2)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 456 + -454. Let m(c) = c**2 + c. Let f(g) = 20*g**2 + 25*g. Determine z*f(h) - 50*m(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/(g**(2\/17)*g))\/(g**(2\/3)*g**(-3)*g)*(g**(3\/7)\/g*g**2)**(-6\/19) assuming g is positive.\nAnswer: g**(-28729\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -393 (b) 5 (c) -152.78 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 3*j + 3. Let a(x) = x + 1. Let y(p) = -9*a(p) + 3*o(p). Let v(b) = -2*b. Give v(y(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439405 is divided by 439056.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359225001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.021155\nAnswer: -0.08462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -453 times -5241.8\nAnswer: 2374535.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 11. Suppose c = 15 - 4. Let q be h(c). Suppose 4*m + m = 0. Solve -p + 2 + q = m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/231 and 17\/458865.\nAnswer: 3212055","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 = -q - j, 5*q - 5*j - 35 = 0. Sort 2\/7, 0.5, q.\nAnswer: 2\/7, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -22\/447?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 12*y - 13. Is 19 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 7*h**5\/10 + 17*h**2\/2 - 2*h. What is the derivative of w(l) wrt l?\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8657 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 6, e: 4, k: 1, f: 1, c: 1}. Give prob of picking 2 m.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {f: 1, u: 1, g: 2, w: 2, k: 2, d: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/5)\/(3\/(-4)). Is p\/(-1)*(1 + 4588\/16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 1. Let x be (-10612)\/308 + 19 + 16. What is the biggest value in x, r, -58\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153 times -0.25?\nAnswer: -538.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -591*v - 408?\nAnswer: -591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 10*w**2 + 9*w + 6. Suppose 5*f + 15 = 0, 7 + 8 = -p - 2*f. Let u be g(p). Suppose 4*r - u = 2. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3636\/33) + (-16)\/(-88). Let k = p + 170. What is the smallest common multiple of 96 and k?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 19, 18, 15, 10, 3, -6?\n\"Answer: -g**2 + 4*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3*d - 4*d)*(-5*d - 9*d + 6*d) + (-6*d - 6*d + 2*d)*(-3*d + 2*d + 2*d) to the form m*d**2 + f*d + j and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0 - (-1 + (3 - 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123689580 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and 93\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chcv when four letters picked without replacement from cchcchv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 1211867176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 4670\/4 + (-4)\/8. Let z = v - 656. List the prime factors of z.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 5*j**2 - 3*j - 1. Let c be h(-3). Let z = c - -12. Solve 0 = 2*s + 2*b - 14, 4*b + z = 2*s + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506307230?\nAnswer: 2, 5, 11, 13, 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23671 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -206103 - -267?\nAnswer: -205614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10508 divided by -21064.\nAnswer: -2627\/5266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - 2*h + 4*h + (-1 + 6 - 2)*(20*h + 27*h - 63*h) to the form g + f*h and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 11) to base 3\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452483 is divided by 34774.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -14) + -52 + 42\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 - -0.1.\nAnswer: -124.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-24)*(-5)\/(60\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17 + 2 = 0. Suppose -106 - 264 = -p*d - 5*c, 0 = 5*d + 2*c - 623. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/7865 and 57\/7865.\nAnswer: 7865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 - 5*d + 5. Let o be w(-5). Suppose -o*j = 2*k + 3*k - 275, 0 = -4*k - 5*j + 223. Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 + 206*s**2 - 1471*s + 178. Give r(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 7*s**2 + 7*s + 15.\nAnswer: (s - 5)*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 2. Let j(p) = -p**3 + p**2 - 4*p. Let n(o) be the first derivative of 3\/2*o**2 + 0*o - 1 - 1\/3*o**3. What is z*j(w) - 3*n(w)?\nAnswer: 2*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3 and 185\/(-60) - 3\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.179 (b) -0.03 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 852*r**5 + 4*r**4 + 77444*r wrt r?\nAnswer: 17040*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-9)*3*(-1)\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d5214 + -1a?\nAnswer: 2d51d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 5. Let s be x(-7). Let n = -6 - s. Is (-100)\/(-6) + n\/6 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (-1 + (0 + (sqrt(208) - ((sqrt(208)*-1 - sqrt(208)) + -1)))*1)**2)*3.\nAnswer: 11256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let t(h) = -4*h**2. Let d(k) = -15*n(k) - 3*t(k). Let u be 1\/(1 - (-4)\/32*-4). Let l(p) = -14*p + 14*p + 3*p**2 - 14*p**u. Determine d(l(j)).\nAnswer: -363*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 14 = 2*t + f, 5*f = 2*t + 22. Let h = -217\/1012 + 3\/92. Is h equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 832 by 4.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/5)\/p)\/p**(-1\/2)*p**(-4)\/((p\/(p\/p**(1\/5))*p)\/p))**(1\/16) assuming p is positive.\nAnswer: p**(-29\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 598*b + 10270. Let a be l(-70). Round a to the nearest 100.\nAnswer: -31600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 0.0881.\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-2))\/((120\/12)\/10). Let x = 0 + -4. Sort -22, -1, x, b in ascending order.\nAnswer: -22, x, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*114\/(-84) + -2 + -3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-1\/4)\/s)\/s)\/s)**(1\/6)*(s\/(s**(-1)*s))**45)\/((s**(2\/5)\/s)\/s*(s*s\/(s**(-6)*s))\/s)**14 assuming s is positive.\nAnswer: s**(-679\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -564, -783, -928, -975, -900, -679?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 497*f**4 - f**2 + 789*f - 2 wrt f.\nAnswer: 5964*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5265\/1350)\/(7\/(-70))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*d + 5. Suppose 2*v - 1 = -d. Put 7, -1, v in ascending order.\nAnswer: v, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (55*t + 405*t + 46*t - 95*t + 1)*(-t - 2*t**3 + t) in the form c*t**4 + u*t**2 + n + j*t + d*t**3 and give c.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 765*s - 767*s = -8258, 0 = 5*s + 25. What is the remainder when r is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h\/h**(-1))\/h)**(5\/13)*h**(3\/2)\/h*h*h*h**(-5)\/h*h)\/(h\/h**7*h*h*h\/(h*h**(3\/10)))**(3\/7) assuming h is positive.\nAnswer: h**(226\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - 119\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6375702, 6375700, 6375698?\nAnswer: 6375696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -268251, -536491, -804717, -1072929, -1341127, -1609311, -1877481?\n\"Answer: 7*l**2 - 268261*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3578794*-2.\nAnswer: 7157588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 3 + -4 + 2. Let k be 156\/(-24) + (-1)\/((-4)\/6). Let r be (-1)\/68 - ((-10)\/(-8))\/k. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 10*l**2 + 20*l**2 - 18*l**2.\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*y = 90, j = -2*y + 3*y + 43. Let h(s) = 42*s**2 + 2*s - 10. What is the remainder when h(-2) is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -2449\nAnswer: -2449.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 25639*x**2 + 2*x - 25640*x**2 - 2*x + 2*x**4 + 2*x**3 in the form s*x**3 + l*x**4 + p*x**2 + t + w*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**8\/14280 - j**7\/3570 + j**6\/3060 - 4*j**3\/3 + 3*j. Let d(n) be the second derivative of z(n). Factor d(t).\nAnswer: 2*t**2*(t - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4797, -9312, -13685, -17916, -22005?\nAnswer: -25952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 5*a**2 + 5*a + 5. Let h = -81 + 76. Calculate n(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 17 = o, 8*z = 5*o + 382 - 429 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3173, 1, -3 in descending order.\nAnswer: 3173, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -236*c**2 - 12*c + 12. Let f(n) = -n + 1. Determine -12*f(q) + u(q).\nAnswer: -236*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 79. Let s(u) = u + 34. Let l be s(-18). Suppose 0 = -3*d - 4*g + l, 3*d - 4*g = -2*d + 16. Solve 3*j - 5*j + d = 2*h, -4*j = -4*h - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138558?\nAnswer: 2, 3, 7, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-14))\/((-60)\/70). Which is the second smallest value? (a) -2\/3 (b) -5 (c) h (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 507331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 24. Suppose -12 = -2*m + 2*c, 6*m = m - 5*c. What is the remainder when b is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 2*m + 2. Let q(f) = f**2 - 2*f**2 - f**2 + 7 + 7*f. Let i be (2\/4)\/(4\/56). Determine i*j(x) - 2*q(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/7*(-5)\/(-2)*(-6)\/(-30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmm when four letters picked without replacement from bmbmmbbbbm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6500\/18850*(-87)\/(-21).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/5 - 507*v**4 + 1119428*v**3\/5 + 663085644*v**2\/5 - 1213468704*v - 1345861440 = 0.\nAnswer: -330, -1, 10, 1428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 34*l - 235. Let x be a(-6). Suppose -4*h - 19 = -2*f + x, -20 = 5*h. Let g(o) = -2*o**2 + 3*o - 1. What is g(f)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**3 + 21*j**2 - 11*j - 11. Let s be (-4 - -7) + (-5)\/1. Let q(o) = o**3 + 4*o**2 - 2*o - 2. Calculate s*z(x) + 11*q(x).\nAnswer: 3*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 + r**2. Let a(n) be the second derivative of 0*n**3 + 15*n + 0*n**2 + 0 - 1\/6*n**4. Give g(a(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 297694.17 months in years?\nAnswer: 24807.8475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151b22 (base 14) to base 12.\nAnswer: 2b5302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1787 + 1793. Solve 5*x - m*t - 40 = -11*t, 2*x + t - 13 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Let o be (37 - 23) + (-2 + 92)\/(-6). Which is the closest to 2\/9? (a) r (b) 3 (c) -3\/8 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 + 4 + -10 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, -38, -202, -516, -1028?\n\"Answer: -8*d**3 - 3*d**2 + 3*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (3 + -1)) + 2. What is the units digit of 13 + (-1 - g)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(-4 - 1 + 4)*(14 + 3*n - 14)*(-3 + 4 - 3)*(0*n + 0*n - 2*n) to the form q + t*n**2 + s*n and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 + 4*h - 4. Let y(d) = -5*d**2 + 3*d - 3. Let c(j) = -3*t(j) + 4*y(j). Let g(o) = -340 - 5*o**2 - 370 + 710. Give c(g(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1957 and 5951332?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 4. Let n(g) = g - 10. Let a be n(6). What is the smallest common multiple of l(a) and 20 + (2 + -1 - -1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 34 = -5*s. Let o = s - -35\/6. Which is the third smallest value? (a) 16 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8227\/30 + 549\/2. Which is the second biggest value? (a) 0.07 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o - 22. Calculate the remainder when -12*(20\/(-6) - 0) is divided by c(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*i + 304*i**3 + 397*i**3 - 622*i**3 - 467*i.\nAnswer: 79*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 5:04 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 177733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 5*m + 3. Let b(g) = -g - 9. Let i be b(-5). What is the units digit of p(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 9 = -4*p + 3*g - 5, 535*g - 35 = 500*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194 a factor of 123792479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 2, f: 4, c: 1, v: 2, b: 8}. Give prob of sequence cvd.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/1)\/(3 + -1). Put k, 5, -5 in decreasing order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**2 + 0 + 4\/7*g**5 - 10\/7*g**4 + 0*g + 4\/7*g**3.\nAnswer: 2*g**3*(g - 2)*(2*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.8 - 38. Let f = 5479 + -5479.2. What is the closest to f in 5, -0.04, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21837*p + 611432. Give g(28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -1171, -1776, -2389, -3010?\nAnswer: -3639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 17*a + 1584. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.77 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1199529.\nAnswer: -2399058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + (-15)\/(-4))\/((-1)\/4). Suppose -4*x - 360 = -w*d + 1615, -25 = -5*x. What are the prime factors of d?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + -1. Let r = -1.2 + u. Let h = 0.2 - 0.3. What is the closest to r in -2\/3, h, -2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 505 + -575 + (1 - -56) - (1 + 61).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -24*s**3 - s**2 - 7*s - 9. Let i(t) = -6*t**3 - 2*t - 2. What is -2*b(f) + 9*i(f)?\nAnswer: -6*f**3 + 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.74? (a) -0.1 (b) -126 (c) 1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.357683 centuries to years.\nAnswer: 35.7683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from mjjjjjrjjjrrrrmm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:27 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 1\/18*s**4 - 4\/9*s**3 + 20 - 16\/9*s + 4\/3*s**2. Factor n(d).\nAnswer: 2*(d - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -23 - (49 - (56 - 9)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -6\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088290119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-20))**(4\/15) assuming t is positive.\nAnswer: t**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**6 - 29*h**5*x + 2*h**3*x + 33*h**2*x - h**2 + 3*h wrt h?\nAnswer: 480*h**3 - 1740*h**2*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1337832 by 3.\nAnswer: 445944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 73*k**3\/6 + 2*k + 5. Let m(h) = -3*h**2. Give d(m(c)).\nAnswer: -219*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (20 + -20)) + (-17 - (-1 + 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4686078, -4686067, -4686050, -4686027, -4685998, -4685963?\nAnswer: -4685922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24818 (base 11) to base 4\nAnswer: -20230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((1 - 11 - -14) + 1 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 21 = r, 4*r + 2581 = 3*b + 2609 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1848 divided by 3.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3140 = 9*c - 4*c, -4*c + 3*q + 2501 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) + (sqrt(135) + sqrt(135) + (2*sqrt(135) - sqrt(135)) - sqrt(135))*-1)\/sqrt(9))\/(sqrt(320)*-1*-3))**2.\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1214, -1189, -1168, -1151, -1138, -1129?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1196*h + 49. Suppose 0 = 3*g - 5*i + 1, 0 = -4*g + i - 4*i + 18. Is d(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 11*d**2 + 4*d + 24. Give s(-8).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402987427 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -378*m - 8 - 337*m - 20*m**2 + 712*m to the form w + u*m + x*m**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -20*d**3 - 85*d**2 - 80*d - 15 = 0.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054272449?\nAnswer: 3, 23857, 70619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/231 and 86\/33831.\nAnswer: 372141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1341002, -1341004, -1341006, -1341008?\n\"Answer: -2*s - 1341000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n. Let u(p) be the first derivative of -5*p**2 + 2*p + 142 - 7*p**2 - 2*p + 20*p**2. What is u(r(v))?\nAnswer: -128*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n + 108. Let b be g(17). Let m(c) = 47*c - 66. Calculate the remainder when m(b) is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 4. Let k be q(-3). Let s be 2\/k - 11\/(-4). Suppose 0 = h - 4*i, -h + 12 = h + 4*i. Sort h, -1, s in ascending order.\nAnswer: -1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32682523.\nAnswer: 1697, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 102 = 6*l. Let c = 33 - 8. Suppose l*i - 29 + c = 0. Solve -i = 3*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184794339?\nAnswer: 1184794339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13467, 27128, 40787, 54444, 68099?\n\"Answer: -k**2 + 13664*k - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5022*z + 539 = 4945*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -29*d**2 + 7667*d + 28136. Calculate k(268).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -23 - (-8 + 4 + -23)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let r = 14\/9 + -55\/18. Is r > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.49? (a) -3 (b) 1\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:21 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 + b - 6. Let r be f(6). Suppose -n - 4*n + 55 = r. Let o = 1598\/35 - 229\/5. Sort o, 4, 0, n.\nAnswer: o, 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 4*d**3\/3 - 244*d. Let n(v) = 5*v + 2. Determine n(h(c)).\nAnswer: 40*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6075 and 34808.434764.\nAnswer: 28733.434764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -204*p**3 + 3*p**2 + p - 1. Is v(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, -158, -347, -590, -887, -1238?\n\"Answer: -27*g**2 - 54*g + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319248.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555749 divided by -4.\nAnswer: 555749\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39683 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 32 + (-1215 - -1191). Factor -2*p**4 + 12\/5*p**3 - 14\/5*p + 6\/5 + 2\/5*p**z + 4\/5*p**2.\nAnswer: 2*(p - 3)*(p - 1)**3*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 5909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 18*l + 10. Let z(w) = 3*w. Let b = -422 + 425. Let c(o) = b*z(o) + n(o). Let i(u) = -u**2. Give i(c(v)).\nAnswer: -729*v**2 - 540*v - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1.8, -3, -0.5, -0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3*(-9)\/2. Let v = 3 - n. Let g be (-2)\/v - (-22)\/3. Solve 2*p - g = 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -172635807 at most -172635807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**5\/20 - 7*b**4\/12 + b**3\/6 - b**2\/2 - 3*b. Let q be v(7). Suppose -q*d = -2*d - 56. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let i be c(-3). Let a = -4 + 6. Find the third derivative of -4*b**i + 2*b**3 + 0*b**2 - a*b**2 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17650 is divided by 1358.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a - 2*a + 0*a. Let m(z) = z. Let w(s) = -s**2 - 3*s. Suppose -3*r + 9 = -3*p, -4*p + p = -2*r + 10. Let x(k) = r*w(k) - 3*m(k). Calculate x(d(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -5*c**4\/12 - 25*c**3\/9 + 5*c**2\/6 + 25*c\/3 + 29. What is y in z(y) = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0373129 and 0.4?\nAnswer: 0.01492516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 775574.95 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (110 - 97) + (-1 - 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - z + z - z**2 - 2*z**3 + z**2 + (2*z**3 - 3*z**3 + 0*z**3)*(-166 + 255 + 412) to g + h*z + o*z**2 + k*z**3 and give k.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 - 139. Suppose 5*y + 4*i = 112, 4*i - r + 17 = -4*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*w - 110*w - 159*w)*((0 - 2 + 3)*(-w + 4*w - 4*w) + (-2*w + 2*w + 2*w)*(-4 + 2 + 4) + 2 - 2 - w - 11*w - 6*w + 6*w).\nAnswer: 2034*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -b15 (base 14) in base 10?\nAnswer: -2175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 0.07. Let j = 304\/35 + -42\/5. What is the closest to q in -0.4, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m + 4*f, -7*m + 5*m + 18 = 3*f. Suppose -3*v = 2*a - m*v + 14, 2*a = 2*v - 18. What is the units digit of (-12160)\/(-52) - 2\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*g - 40 = 38, -4284*g + 4291*g + 130 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9688 - 108*w**2 - 9688. Let p(d) = -3*d. Give p(z(s)).\nAnswer: 324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*g - 5*g. Suppose 4 = 5*r + n - 24, -37 = -5*r - g*n. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-3*j + 4*j - 3*j)*(5*j**2 - j**2 - j**2) + 0*j**3 - 4*j**3 + 3*j**3 to d*j**2 + l*j + u*j**3 + h and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {r: 2, a: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11931265 and 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:02 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905273 is divided by 767.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27225, -116446, -265153, -473352, -741049?\nAnswer: -1068250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 + 1402*u + 2802.\nAnswer: (u + 2)*(u + 2802)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 - 11*c - 18. Suppose -15 = 11*g - 8*g. Let w(z) = -6*z**2 + 10*z + 17. Let p(n) = g*j(n) - 6*w(n). What is the units digit of p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -13 (b) -3 (c) 2\/7 (d) -2\/11 (e) 24\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8415 - 8415.2. What is the biggest value in 0.13, 5\/9, x, 0?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - (-12 + 14))\/(-2). Suppose 0 = -2*t + 3 - 1. Is 7483\/7 - (p\/t - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*77\/(-63)*2. Solve -x*s = -384 + 296 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from ieppieei.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28055 - -28127. Solve 23*a + v*a - 760 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/8 + 0)\/((-1)\/(-958)). Suppose 4*p - u = p + 2*c, -5*p = -3*c - 800. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.039594 grams?\nAnswer: 39594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 4\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*t - 21*t + 16*t)*(2 + t - 2)*(-2*t - 165*t**2 + 16*t - 14*t) in the form l*t**3 + f*t**2 + i + j*t + b*t**4 and give b.\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423434958?\nAnswer: 2, 3, 83, 850271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 232*l - 233*l = -57389, 0 = 3*p - 2*l - 28712. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -6\/5, -0.4, -12 in increasing order.\nAnswer: -12, -6\/5, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**5 + 12066*t**4 - 3*t**3 - 13*t**2 - 92621*t wrt t?\nAnswer: -240*t**2 + 289584*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 46*q**2 + 118*q + 92. What is g(19)?\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 160 + 1752 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 39 - 21 - (-16 + 7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-23 + 0 + 422 + -410)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-177507)\/(-96822))\/(-2*2\/(-24)*-4).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n - 54. What is b(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (257\/(-1028))\/(-3 + 2 - 51\/(-54)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 704334 = -3*n - 263646, -2*j + 881326 = -4*n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {s: 6, u: 2, c: 3, i: 2, m: 4}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*d - 31, d - 13 = a + 3*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 4*k - 6*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125 + -123. Find l, given that -4*l**2 + 40*l - 862 - l**n + 907 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/10*(6\/828*-115)\/((-2)\/6).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 10311040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 2*g**2 + g - 6. What is the tens digit of n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 444717600 to the nearest one million.\nAnswer: 445000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 7*r**2 + 9*r**2 - 7*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*x + 8*x - 4 = 0, 2*x = -2*b + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 5*g**4 + 0*g**4)*(-90 + 42 + 56 + 6*g).\nAnswer: 24*g**5 + 32*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17273275 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((306\/6)\/357)\/(18*(114\/63)\/2).\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*152\/(-114)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-7*1 + 220\/33?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 9. Let w(i) be the third derivative of i**6\/120 - i**5\/60 + i**4\/24 - i**2. Let x be w(2). Let m be p(x). Solve m + 2 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32539955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -19*w**2. Suppose -5*d + 29 + 22 = 3*v, -27 = -3*d - 3*v. Let h(n) = -d*n**2 + 2*n**2 + 9*n**2. Give h(s(u)).\nAnswer: -361*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6809 (base 11) to base 9.\nAnswer: -13258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 897082 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: Suppose 4*b - 22 = 2*b. Suppose 3*f + 11 = -4*r + 2, 3*f = -5*r - 12. Sort b, f, -3 in ascending order.\nAnswer: -3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521352 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -265 in -0.0253, 0.1, 3\/4?\nAnswer: -0.0253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.131, 0.15, 2, -19, -1 in decreasing order.\nAnswer: 2, 0.15, 0.131, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 35*r**2 + 658*r + 1396. Give v(-16).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*m - 28. Calculate the remainder when 34 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -653 + -7104?\nAnswer: -7757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9328*t**3 - 50*t**4 - 9328*t**3 + 48 wrt t?\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36193*m**2*v**4 + 66099*m**2 wrt v.\nAnswer: 144772*m**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -16*j - 4. Suppose -13*n - 3184 = -3483. Calculate the remainder when m(-4) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106.5699 + -0.1301. Let d = y - -107. Let c = -28.2 - -28. What is the fourth smallest value in 5, -12, d, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1208*g**2*s + 2*g**2 - g - 2*s**2 + 353 wrt s?\nAnswer: -1208*g**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.02, 0, -2\/3, 4 in decreasing order.\nAnswer: 6, 4, 0.02, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*w - 17, -3*w + 0*o - o = 10. What is the least common multiple of 4\/w*(-5 + -7) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 6, 3, 2, 0 in ascending order.\nAnswer: -39, 0, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, g: 2, q: 10, a: 2}. Give prob of sequence ga.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409004 = -7*j - 409151 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -11. Let r = -5529.6 + 5530. What is the nearest to r in -1\/2, 2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 + 1) - -14) + -306 + 221 - 2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100334430 + -32?\nAnswer: 100334343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + (-152)\/16)\/(6\/8). Let c be (-805)\/(-70) + -1 + r. Find w, given that -15*w + c + 6*w**3 - 27\/2*w**2 = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - g = -1306, 3*a + 0*g - 983 = g. Let s = a + -190. Let r = s + -136. Solve 2*z = -3 - r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k*k*k**(2\/5))**(-44) assuming k is positive.\nAnswer: k**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2416 - 1180 - 1070 = -16*w, -w + o = -2*o - 4 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 243, 210, 153, 66, -57, -222?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11213843?\nAnswer: 11213843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 + 3*z - 2. Let w be k(4). Suppose p = -m + 2*m - w, 330 = 4*m + 2*p. Suppose y - m = -4*y. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3) + 0 + -7 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.2. Let r = 0.4 - o. Let n be ((-3)\/10)\/((-9)\/(-12)). What is the second smallest value in n, 1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28840 divided by -5?\nAnswer: -5768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237417447, 237417446, 237417443, 237417438, 237417431, 237417422, 237417411?\nAnswer: 237417398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -46. Is 1\/6 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 34 = 14. Suppose -n = l*n - 486. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -33. Let w be 3 - ((-18)\/g - (-1 + -2)). Is w at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 15. What is r(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*75636027\nAnswer: 151272054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m. Let y(s) = 3 + 5*s + 1 - 3 + 3. Let q(t) = -j(t) - y(t). Give q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 9) to base 12\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 2*h**2 + 9*h + 26. Determine o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -3. Let q be ((4\/(-6))\/((-101)\/606))\/10. What is the closest to 1\/4 in q, -0.05, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 - 10793 = -649*t + 422 + 8622 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**2 - 16*k - 11. Let f(r) = -2*r**2 - 3*r - 3. Let p(z) = 4*f(z) - x(z). Give p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 7*m + 6. Let w be c(5). Let h = w - 23. Calculate the highest common divisor of h and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5 - 48*t**4 - 261*t**3 - 540*t**2 - 324*t = 0. Calculate t.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95\/8 + -2391\/200. What is the nearest to -3\/4 in 1\/2, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 4. Suppose -j = 5*d - 24, -5*j = 3*d - 19 - 13. Suppose -d*i - 58 = -18. Calculate the remainder when s(i) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 5*n - 13*b + 14*b, -1618 = -9*b + 4*b - 1643 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(15))\/sqrt(3) - -5*sqrt(125).\nAnswer: 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:24 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Suppose -2*s = -t*s - 84. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80948, -162245, -243526, -324785, -406016, -487213, -568370, -649481?\nAnswer: -730540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -11031 divided by -13.\nAnswer: 11031\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/57 + 12\/19. Let p(z) = z**3 + 4*z**2 - 5*z - 3. Let i be p(-5). Let k = 0.4 + 4.6. What is the third biggest value in i, m, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663972 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = t + 49 - 21, 2*g = 4*t + 2. Let y be (16\/24)\/((-2)\/(-15)). Sort t, y, -2, -13.\nAnswer: -13, t, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 2. Suppose 82*t - 338 = 154. Let a(u) = 4*u - 2. Calculate t*a(r) + 4*z(r).\nAnswer: 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -27. Let m(w) = w**3 - 7*w**2 + w - 7. Let u be m(b). Suppose 1\/2*f**2 + u + 1\/2*f = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336321671 divided by 48045953\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4)*(-5*k + 8*k + 2*k + (-2 + 1 + 2)*(1 - 1 + 2*k) + k + 9*k - 3*k) in the form n + c*k and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let r(l) = 6*l + l**3 + y*l**3 - 4*l**3 + 6*l**2 - 4. Does 16 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -58*c**2 - 3*c - 178. Let d(u) = -291*u**2 - 16*u - 977. Determine -2*d(z) + 11*w(z).\nAnswer: -56*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 26*d + 38 - 18.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2845*c + 2280 wrt c.\nAnswer: 2845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41001 + 3?\nAnswer: -40665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - -43.4. Let v = m + -44.99999896. What is v rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*k - 28*k**2 - 14*k - 11*k**5 + 35*k wrt k.\nAnswer: -660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24974988631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*t + 7*s + 21, 5*t = s. Let g be (5 + -5)\/(t - 1). Suppose g = a + 3*i - 2*i + 2, 40 = 5*a - 5*i. Solve 0 = 2*j - 1 + 3, a*j = 5*h - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.5. Let g = 2 - 7. Let m = -3236.3 + 3236.44. Sort 5, m, g, h in ascending order.\nAnswer: g, h, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 2 (b) 1 (c) 27 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791687 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/64*25*2\/125\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 2\/11 (c) -5 (d) -18 (e) -22 (f) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (22 - ((26 - 7) + -4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - -1.01. Let v = b - 0.11. Which is bigger: -3\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*t + 5*v + 3, 2*t - 15 = 5*v. Let o = 0.2 - 2.1. Let r = o - -2. Sort 0.13, t, r in descending order.\nAnswer: 0.13, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let m = 3 - a. Let u be (-1)\/(3*(-6)\/9). Put m, 2, u in decreasing order.\nAnswer: 2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 1. Let t(b) = 9*b - 4. Let g(x) = -4*c(x) + t(x). Let u(y) = -y**2. Calculate g(u(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-198)\/(-1815)*(-21)\/(693\/(-440))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00063270778 to six decimal places.\nAnswer: 0.000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**9\/272160 - b**8\/90720 - b**7\/11340 - b**5\/60 + b**2. Let j(k) be the third derivative of w(k). What is d in j(d) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001059458 to five dps.\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -276557\/98 + 2822. Let w(y) = y**3 + 3*y**2 - 1. Let p be w(-1). Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390481?\nAnswer: 7, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*j - 18868 = -6232 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.497822nm?\nAnswer: 0.000001497822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, 6033002, 3\/7 in descending order.\nAnswer: 6033002, 4, 3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6686, 46420, 154264, 364274, 710506?\nAnswer: 1227016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80108185 to the power of 1\/2, to the nearest integer?\nAnswer: 8950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b, -10 = -0*l - 2*l - 2*b. Suppose -9 = -l*h + 6. Calculate the greatest common divisor of h and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1434200 and 75750?\nAnswer: 21513000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -3207, -7188, -12747, -19878, -28575, -38832?\nAnswer: -50643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b7 (base 16) in base 5?\nAnswer: 21323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + k, -160*p - 12 = -163*p + 3*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 6*t + 5. Let g be u(5). Suppose -2*k + 2 = -3*w, 3*k = -5*w - g*w + 22. Suppose 0 = -0*p + p + k. Sort p, -5, 4.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 2475.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 + 1 + -2)\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3465\/675 - (34\/30 + -1). Let o be l\/10 + 2\/4. Let b(m) = 2*m + 1. Let a(i) = i. Give o*b(r) - 3*a(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.02 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 - 6) + (6 - 3 - -11)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1162, 1163, 1164, 1165, 1166, 1167?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - n - 238 = 0, -4*x = -4*n - 266 - 218. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11772 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2 - (-8)\/(4 - 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2206 - g + 3*g**2 - 2*g**3 + 2198 - 4*g**2 - 6*g**4 as q + z*g**4 + o*g + i*g**3 + m*g**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000349361 to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 1. Let v(k) = -3*k**2 + 6*k**2 - 42 + 17*k**2 - 20*k + k**3 - 3*k**2. Let c be v(-18). Calculate q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g = -41*g + 5*c - 75, -2*g + 4*g - 7*g = 26*c - 400 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 + 5 = 0. Let g = 21 + 147. Suppose d + 5*b = -2*d + 168, q*b + g = 3*d. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -10 (c) 162 (d) -5 (e) -0.1 (f) -39 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76072 + -5?\nAnswer: 76066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16698 and 19481.\nAnswer: 116886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z. Let m(j) = -5*j**2 + 7*j. Let h(o) be the first derivative of -2*o**3\/3 + 3*o**2\/2 - 4. Let k(u) = -7*h(u) + 3*m(u). Calculate k(l(p)).\nAnswer: -81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11931941*z**2 + 57675081*z?\nAnswer: 23863882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187.09 * 71720.\nAnswer: -13418094.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = 3*x + 18, 2*x - 4*t + 20 = 0. Suppose -9*z + 20*z + 682 = x. Let b = 70 + z. Round b to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64851 at most 64850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4)*0*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/b**(-4)*b\/(b*b\/(b*b**(-2)\/b))*b**(3\/5))\/((b\/(b*((b**(-1\/2)*b)\/b)\/b))\/b*b\/b**2*b**(-2\/11)\/(b\/b**1*b)) assuming b is positive.\nAnswer: b**(-189\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142583 + 418464. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 145838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 669970, 669911, 669810, 669667, 669482?\nAnswer: 669255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 98, -442, -4, -1567 in ascending order.\nAnswer: -1567, -442, -4, -1, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307 or -629\/466?\nAnswer: -629\/466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -445*s - 2 + 3 + 887*s + 1 - 444*s. Let t(r) = 4*r - 3. Suppose -3*q + 3*x = -6 - 6, -2*q + 3*x = -9. Give q*t(h) + 7*k(h).\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175.782 - 183.78195. Let f = -7.981 + -0.019. Let m = f - x. Round m to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 6) to base 4\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388443.\nAnswer: 3, 11, 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32992270 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g)**(-21\/2)\/((g*g**(2\/21))\/g**(2\/23))*(g\/(g*g**4)*g*(g\/(g*g**(1\/7)))\/g)\/(g*g**(-1)*g*g*g)**(-33) assuming g is positive.\nAnswer: g**(38567\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/(1\/(-6)). Let a be (-18)\/126 - z\/63. Is 0 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1790 + 2*f**3 + 1790.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -180556035 greater than -180556031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 2. Let x(s) = 1. Let p(y) = -d(y) - 2*x(y). Let k(g) = -g. Determine p(k(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 7*x**3 + 0*x**2 + 0*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -263260742, -526521486, -789782230?\n\"Answer: -263260744*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c - 11. Let w be h(-4). Let s = 74 - w. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:43 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*l - 5*l + 3*l + 3*l - 3 + l + 3 + (4 + 0 - 3)*(l - 4 + 4) + (-1 + 0 + 2)*(l - l + 2*l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 510 + -509. Let b(c) = -59*c - 17. Let v(k) = 2*k + 2. Let d(o) = t*b(o) + 2*v(o). Differentiate d(x) with respect to x.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -66*t**3 + 4854*t**2 - 4845*t - 8. What is k(1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 5:54 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27)*-24)\/((-21)\/(-126))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 24415215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6587*c**4 - 2*c**3 - 29*c**2 + 3*c - 39094?\nAnswer: 79044*c**2 - 12*c - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.77, -3, -1, -0.16, 35, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 0*b**4 + 3*b - b**2 - 98 + 96 to the form y*b + h*b**2 + p + n*b**3 + s*b**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 52.64. Let o = -0.688 - x. Is o > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u - 2*u + u - 2 - u**2. Suppose 0 = -4*k - 2*h - 9 + 83, -3*k = 3*h - 57. Suppose 14 + 0 = -2*q - 3*o, -o + k = -5*q. Calculate t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - k + 2*k = -146, 2*s + 3*k = 66. Let l = -24 + s. Calculate the remainder when 93 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 16. Solve 24 = -5*i + g*a, 2*a = 4*a - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = h. Suppose 5*f - j + 2*j - 417 = 0, 0 = -3*f + h*j + 264. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2214344 (base 5) to base 16.\nAnswer: -9744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a. Suppose -2 = -5*s + 8, -3*s + 11 = b. Let l = -462 + 464. Suppose n = -r - 4, -l*n = -4*n - b*r - 17. Determine u(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38970 is divided by 4501.\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292\/13445 - -2228183\/36355280. Calculate the common denominator of -91\/20 and n.\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-11144)\/(-116) + 6\/(-87) and 252.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/1050 + k**6\/1200 - 3*k**4\/8 - 21*k**2 + 4. Let s(b) be the second derivative of n(b). Suppose s(j) = 0. What is j?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1428441 by -271.\nAnswer: 5271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -22963*q + 22968*q + 74, -8 = -4*q for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 2*x**3 - 2*x**3 + (0 - x**2 + 0)*(0*x - 9*x + 3*x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -2*u**3\/33 - 1030*u**2\/11 - 530450*u\/11 - 501. Let j(h) = 0. Calculate h.\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*t + 5, 2*l = 3*t + 4*t + 6 + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1302 by -7.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - 133\/(-5). Suppose -l = -5*f - 7. Let a = 0 + f. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -1. Let q be (4\/(-3) + 3)*(0 + 3). What is the smallest value in q, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 15, 0, 6, -4 in decreasing order.\nAnswer: 15, 6, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*r - 26, 3*d + 39 = r - 0*r. Let b = d + 19. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 274, 564, 836, 1096, 1350, 1604, 1864?\n\"Answer: l**3 - 15*l**2 + 328*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.01 and 0.0629.\nAnswer: 1.0729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaasaaaspasaaaa. What is prob of sequence pass?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2810 is divided by 1383.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:11 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 59 + 0 - 10 = y, -17*y = 4*a - 668 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) -12 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 9*q - 21)*(-3 + q + 3) - q**2 + 2 - 2 + 15*q**2 - 119*q + 119*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/104229 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -22*o. Let a(z) = -7*z**2 + 171 + 160 + 16*z**2 - 7*z**2 - 256. What is a(j(m))?\nAnswer: 968*m**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 13*y - 13*y + y**2 - 4*y**2 - 6*y**3 - 3*y**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 18 + 2*c + 8)*((-2*c + 2*c - c**2)*(c + 0*c - 2*c) + 7*c**3 - 2*c**3 - 3*c**3).\nAnswer: 6*c**4 + 75*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91727.33 millennia in months?\nAnswer: 1100727960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 4 + 5 + 1 - 2 + (-6 + 2 + 2)*(4 - 1 - 1))*(-4*u**3 - u**3 + 4*u**3).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 702925301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - -14) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919*y**2 - 2014*y**2 + 1096*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278453615?\nAnswer: 5, 11, 47, 107719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7101987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-1 - 13) + -8 + (-3 - -18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11831, -8549, -5267?\n\"Answer: 3282*n - 15113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95854593089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -665922 or 8\/51?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1)*v)\/v)**(1\/15)*(v**(1\/3))**(2\/19) assuming v is positive.\nAnswer: v**(2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l - 4 = -g, g + 2 = l. Let a = -8 + 3. Let z be -2 + (-11 + 1)\/a. Solve -3*k + 15 + z = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.176 to 2 decimal places.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 240, 229, 202, 153, 76?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**2 - 14*y**2 + 37*y**2. Let s(h) = -h + 56. Let q(f) = -f + 42. Let g(m) = 4*q(m) - 3*s(m). What is g(n(j))?\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 23*p**2 - 14*p + 39. List the prime factors of h(22).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 4. Let o be (-3)\/(-12) + (-18)\/t. Is 0 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483342451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872 = -5*f + 2*g, 5*f + 5*g = -333 + 1233. Suppose 7*x = 34 + f. Put 0, x, 1 in increasing order.\nAnswer: 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43666492 and 8908.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4\/g*g**(-1\/11) assuming g is positive.\nAnswer: g**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and 1.39496.\nAnswer: 2.929416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**5\/3 + 295*g**4\/3 - 27515*g**3\/3 - 28375*g**2\/3 + 18530*g = 0?\nAnswer: -109, -2, 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 12*b - 12. Let k be j(-11). Let x be (-3)\/6*k*4. Solve 0 = x*h + 3*y + 5, 5*h - y - 2*y = 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -957, 1, -123 in increasing order.\nAnswer: -957, -123, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - -4894746?\nAnswer: 4894784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 15*i**2 + 102*i + 22. Calculate q(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.699 + -0.399. What is the nearest to -2\/5 in 0.1, 1.1, s, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49357 and 11.\nAnswer: 49357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000993746 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 - 4*p**5 - 10*p**2 + 2*p**2 - 160*p - 7*p**2 - 14*p**2 wrt p.\nAnswer: -20*p**3 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.555 + -0.345. Let h = 16 + w. Which is the second biggest value? (a) 3\/2 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -25. Let o be 4*5 + 0 + -2. Let x = o + k. Solve -2*n + 31 = x*a, 0*a + 22 = 4*n + 2*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, q: 2, u: 4}. What is prob of sequence uq?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -107550 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*o**3 + 176*o**3 - 520*o**3 + 178*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2. Let m(n) = -1110*n. Calculate m(b(t)).\nAnswer: -2220*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 16. What is the nearest to 1\/3 in h, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 302 = -87. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + 355. Let k = z - 205. 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 the units digit of 312234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1) + (-301)\/(-2)*(-114 + 110). Does -608 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 12 - 4*g + 9*g. Let a be y(5). Let u be (-22)\/(-33) - a\/(-9). Sort 0, -17, u in decreasing order.\nAnswer: u, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75 and -43?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9034, 36284, 81700, 145282, 227030, 326944, 445024?\nAnswer: 581270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73ad + -5?\nAnswer: -73b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*r + 1045 - 1745 - 3185 + 198 + 86*r**4 - 2840 wrt r.\nAnswer: 344*r**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 0 + 8 + (-4 - (12 + -3))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 683843 and 684280 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 28*q + 34*q - 64*q. Let f(m) = -13*m**2 - 6. Let d(c) = -12*c**2 - 5. Let w(j) = 6*d(j) - 5*f(j). Give g(w(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 19*o**2 + 17*o + 3. Let c be u(-18). Let w = 42 - c. Let v = 19 + -13. Calculate the remainder when w is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zozp when four letters picked without replacement from zozzzozozpooz.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (70 - -1)*1 + 1. Let u be (-5)\/((-50)\/12)*135\/9. Suppose -49*s + u = -47*s. Calculate the highest common factor of m and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-5 + (32 - (9 - 10)) + -10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (50\/(-8))\/((-5)\/40). Let z = -74 + v. Let q = z + 30. What is the smallest common multiple of q and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912.515 decades in years?\nAnswer: 39125.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 397797.\nAnswer: 397797.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5591 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -1855 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 481*i**2 - 65. Let g(a) = -15*a**2 + 2. Determine 65*g(f) + 2*l(f).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 173*d**2 - 2*d + 2*d.\nAnswer: -173*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*u = 11 - 0, 0 = r - 5*u + 15. Suppose 0 = -r*g - 5*a + 55, 0*a - 30 = -4*g + 3*a. What is the remainder when 16 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -55*x - 776. What is p(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0934 plus 0.3?\nAnswer: 1.3934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 989956 = -144*k - 2137436. Round k to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 20 + 11 + 5*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 3*b - 6*b, l = 4*b - 4. Suppose -17*g = -b*g - 68. Solve 0 = 2*p + s - 10, 3*p - g*s = -s + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 446*w - 4. Let z be y(2). Suppose 3*a + 0*a = -4*m + 867, z = 3*a - 3*m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/3 + -103\/21. Let n = -0.3 - 0.2. Put n, h, 0 in decreasing order.\nAnswer: 0, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59552945, 59552944, 59552943, 59552942, 59552941?\n\"Answer: -b + 59552946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*n + n + 9*n)*(-186 - 22 - 396) in the form k + d*n and give d.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -2 + 7 + (0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3032)\/48)\/(-1) - ((-1880)\/(-48) - 40)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*c - 4*p = 23, -13*c + p = -19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -31. Let b = n - -38. Which is greater: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/104*((-40)\/(-150))\/(-2)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3*y + 2*d**3 - 108*d**2*y - 36415*d**2 - 27*d*y + d + 67895*y + 3 wrt d?\nAnswer: -24*d*y + 12*d - 216*y - 72830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4953.851 micrometers?\nAnswer: 0.000004953851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651106.9 months in centuries?\nAnswer: 2209.25575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/42 - 4450*v**3\/21 - 4950625*v**2\/7 + 2*v - 19. Determine a so that h(a) = 0.\nAnswer: -2225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, -26, 3, -4 in increasing order.\nAnswer: -26, -4, -3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12184 + 51643. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-650)*117*5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -50 + -8 + 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 89133850 divided by 156650\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = a + 2, 3*v + 46 = 5*a. Let w be (a\/1 - -3202)*(-2)\/4. Find the common denominator of 8\/(-66)*(-8)\/((-320)\/w) and 71\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 - 2*d + 2*d)*(-17451*d - 1131*d + 5169*d - 9462*d - 2978*d - 17962*d) as s*d**2 + z + k*d**3 + x*d and give k.\nAnswer: 87630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*x**6 - 50 + 427*x**2 + 915*x**6 + x**5 + 50 wrt x?\nAnswer: 113760*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424 and 742.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*14\/105)\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 270.8 + -271.2. Let s = -7.7 + 8. Sort h, -2\/7, s, 1\/3.\nAnswer: h, -2\/7, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 8. Let h be i(2). Let m(u) be the second derivative of 1\/2*u**3 + 0*u**2 + 0 + 1\/4*u**h + 2*u. Let m(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262735, -262739, -262743, -262747, -262751, -262755?\nAnswer: -262759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463297219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288984 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvsqxvu. What is prob of picking 1 v and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4013594 (base 12) to base 3\nAnswer: 211112011200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 2*w. Let a(q) = -8*q**2 + 289*q. What is -3*a(f) - 15*m(f)?\nAnswer: -6*f**2 - 837*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyyy when four letters picked without replacement from {f: 7, y: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -7*p + 7*p - 3218*p**2 + 2*p**3 + 1480*p**2 = 0?\nAnswer: 0, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x - 1. Let l(o) = -3*o**2 + 4*o - 13. What is 4*g(b) + l(b)?\nAnswer: b**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -1\/3*h**2 + 1\/6*h**5 - 1\/3*h**3 + 1\/6 + 1\/6*h + 1\/6*h**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -37, -22, 9, 62, 143?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1247 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 4, i: 5, c: 1}. Give prob of picking 1 c and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*f + 11. Let q be 2036 - f*(-2)\/(-4). Suppose -3*z - 5*t = -q, 3*z = -0*t - 4*t + 2037. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -7115.7\nAnswer: -28462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.843 + 1.843. What is the nearest to 1 in 5, p, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/7, 30, 0.33?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**4 + 32\/7*z**7 - 13 + 0*z + 0*z**5 - 41\/3*z**3 + 0*z**2 + 0*z**6. Find the third derivative of b(k) wrt k.\nAnswer: 3840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 4*a - 12, 5 = a. Sort 5, -0.1, x, 0.\nAnswer: -0.1, 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -110*x**3 + 10775*x**2 + 93770*x + 4240 = 0.\nAnswer: -8, -1\/22, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/(-100))\/((-4)\/16))\/14\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 1 - 2 + 2*l + l**2 + 0. Let g be p(1). What is the third derivative of 3*o**5 + 3*o**5 - 3*o**g + 2*o**2 wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -875a?\nAnswer: 874e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 + 23*s**2 - 6*s**3 - 23*s**2.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114575002 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 5*x + 7. Let q be y(5). Let i(z) = 0 - 2 - 3*z + 3 - q*z. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 3*t + 328. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/26*(-52)\/204*90\/(-60).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 8*w - 4*d + 14, 2*d = -2*w + 6. Solve 0*v - w*v = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 0 + -6 + 5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - 4. Let h = r + 69. Suppose -h*d = -8*d - 20. What is the greatest common factor of 20 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*q**3\/2 + 2596*q**2 - 4645*q\/2 + 525 = 0. Calculate q.\nAnswer: 5\/11, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224191*m**3 + 20*m**2 + 27*m - 24991.\nAnswer: -1345146*m + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68\/49 in 45, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**2*r**2 + 36489*c**2 + 19*c*r**4 wrt r.\nAnswer: 14*c**2*r + 76*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156007415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1458 = -92*t + 7714. Let q(k) = -101*k + 2. Calculate the remainder when q(-4) is divided by t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 0.02. What is the nearest to t in 2\/11, -4, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13133113 + -11010120?\nAnswer: 2122333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/52 + -1159\/156. Which is the biggest value? (a) 5 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -3, -1, 5, -5.\nAnswer: -5, -3, -1, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18296353\/258 + 70916. Calculate the common denominator of 69\/10 and i.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d**4)\/d)\/(d*d**(3\/2)))\/((d\/(d*d\/(d\/((d**9*d)\/d))))\/(d\/(d**(2\/7)*d))))**(-18) assuming d is positive.\nAnswer: d**(-1413\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + 2 + -7 + (1 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 165, 644, 1441, 2556, 3989?\n\"Answer: 159*s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2348 in -4, -2\/19, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.04 (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:53 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and 0.038731.\nAnswer: 1.200661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 8 + r**2 - 4*r**2 - 5*r**2. Let i(x) = x**2 - 1. Let h be 63\/4*(-5576)\/(-4879). Determine h*i(p) + 2*j(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3695 is divided by 3409.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*l, 2*l - 5*s + 299 - 249 = -13*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308 - -39. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4484196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1417, 3, -2 in descending order.\nAnswer: 3, -2, -6, -1417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*l = -356, -5*l = 52*s - 48*s - 290. Suppose 56 = -7*g + s. Factor -1\/2*d - 1 + 4*d**g - 5\/2*d**3.\nAnswer: -(d - 1)**2*(5*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54231002\/35 - 784\/(-280). Round r to the nearest ten thousand.\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(-2)))**(-4\/11)\/(h**0\/(h**2\/h)) assuming h is positive.\nAnswer: h**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28571.97 - -29322. Let c = y - 731. Let i = -19 + c. Is i at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*s**5 + 407*s**4 + 3965*s wrt s?\nAnswer: 400*s**3 + 4884*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2. Let u(i) be the second derivative of 35*i**3\/6 - 3*i - 145. Calculate u(s(b)).\nAnswer: 140*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -57. Let b = h + 0. Let t = -13 + b. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9210.\nAnswer: 2, 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3860 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 1. Let a be r(1). Let z(i) = -4*i**2 - i**3 - 2*i**3 + 2*i**a + 5*i. Let f be z(-5). Solve -4*y + 14 = y + 3*m, f = -2*y - 5*m + 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjffjjffffjffjjfjjf.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 5. Let o be 116\/14 - c\/(-35). Solve -o*b - 12 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -526.00000307 - -526. What is f rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/14 - 0) + ((-12)\/(-168) - 0). What is the fourth smallest value in 0.2, -0.06, l, -1, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 294.8 - 296. Let b = k + 1.218. What is b rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -53*o**2\/2 - 130*o + 30. Is 22 a factor of b(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 4*v. Let w be d(3). Suppose -188*i - 54 = -2*g - 183*i, 0 = 2*g + 5*i + 26. What is the highest common divisor of g and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1012*s**3 - 32*s**3 + 2*s**2 + 2*s + 488*s**3 to the form h + q*s + c*s**2 + v*s**3 and give v.\nAnswer: 1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 39 in decreasing order.\nAnswer: 39, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 9. Let a(t) = -t**2 + 3*t - 3. Let l be a(2). Let r be (l - 0)\/((-1)\/3). Sort o, 0, r in ascending order.\nAnswer: o, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8028 (b) -29\/5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 5, -27 in decreasing order.\nAnswer: 6, 5, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 29*u - 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**8\/336 + u**7\/105 + u**6\/40 - u**2 + 13*u + 55. Let l(h) be the second derivative of p(h). Suppose l(d) = 0. What is d?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 * 0.05\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3033*y**2 - 14*y**3 + 18*y**3 + y + 3031*y**2. Determine w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 9 = 2*u. Let k(o) = -o**2 + o. Give k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340786 is divided by 710.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 8*u**2 - 7*u + 6. Let l be d(7). Suppose -84 - l = 5*b. List the prime factors of (-3 - (3 + b))*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1872\/2860*33\/3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000072006 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7) + 2 - sqrt(7))**2 + 5.\nAnswer: -12*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v + 84. Let o be z(4). Let x(s) = s**2 - 9*s**2 - s**3 + 16 - 6. What are the prime factors of x(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123051.3 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15*50\/120\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/4 of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2. Let p(b) = 199*b - 2. What is p(f(v))?\nAnswer: -796*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -280835 (b) 32 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*3 - 80\/140*14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 718 + 1556 + 584*c + 2090*c - 163 wrt c.\nAnswer: 2674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 64*u = -36*u - 176 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 1478379*h - 1478376.\nAnswer: -3*(h + 1)*(h + 492792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 55*b**2 - 10*b + 17. Let f(i) = -108*i**2 + 19*i - 31. What is -11*d(h) - 6*f(h)?\nAnswer: 43*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 40 = 3*l, -4*j + 3*j - l = -9. Let u be (j\/26)\/(1\/(-36)). What is the tens digit of 39 + 1 + u\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:33 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (20\/12 - 0).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(27) + sqrt(27)) - sqrt(675)*1)\/((sqrt(27) - -2*sqrt(27)*-1)\/sqrt(3)).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11110?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 40*h**2 - 130*h - 63. What is n(-43)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12554, 12547, 12540, 12533, 12526, 12519?\n\"Answer: -7*y + 12561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453952369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkhlokohlkhhkhhkkl. What is prob of sequence ll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 4632077 = 2*g + 43129923, -2*g = 0. What is z rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25)\/(-50))\/((-2)\/4). Let g = -1 - 2. What is the nearest to q in -0.4, -2, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -921429 - -3667701\/4. Let h = b + 4529. Find the common denominator of h and 93\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 0 + 0 - 4 + (0*n**4 + n**4 - 3*n**4)*(-2 + 4 - 4).\nAnswer: 2*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0 - 10. Suppose -5*x - 5*i + 130 = 0, -i + v*i + 55 = 2*x. Let m be 5*(-3)\/(4 - 7). Solve 0 = 4*w + 3*l + x, 0 = -2*l + 3*l + m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.12 (b) 0.1 (c) -573 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 12 - 13. Sort 5, f, 0 in descending order.\nAnswer: 5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a factor of 2444127198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 621, 1303, 1991, 2685, 3385?\nAnswer: 4091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -50*w + 12805. What is the hundreds digit of o(-165)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12879*c = -12883*c - 10*k - 156, -c = -3*k - 49 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14998 - 14989)\/((-18)\/104)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 74782 = -5*r - 14*l, 4*r - 59820 = l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3\/5, -368.4, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/6 and 115\/82152?\nAnswer: 82152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 7:51 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - z + z - 9 - z.\nAnswer: 2*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12232 and 2789452?\nAnswer: 61367944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -148 - (-7 - -9). Suppose -2*j + m + b = 55, -2*m - 137 = -3*j. Suppose 5*k = 3*a + j, -7*a - 13 = k - 2*a. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let s = 1265 + -1251. Solve -2*q = -2*m + s, 8 = 2*m - u*q - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 42 = 17. Solve y - 5*p + 14 = 0, -l*y - 2 + 4 = -p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.39 + -9.19. What is the third biggest value in -0.11, 1, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11 + 2*u**2 - 39*u - 398*u**3 - u**2 - 26*u**4 + 132*u**4 + 790*u**3 - 396*u**3 wrt u.\nAnswer: 1272*u**2 - 24*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 + 171. Solve -5*t + w*t - n = -17, -2*n = -4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:25 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -13155420 to the nearest 100000.\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 9*u - 3. Let p be m(8). Solve p = -5*a - 5*g, -2*g + 2 = -g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -848181 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 2 - (1 - -1). Let n be b\/(0 - 1 - 1). Solve -2*p + n*p = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/46*(-3 - (-1 + -3)). Which is the closest to 1? (a) 2\/23 (b) -1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 2, l: 1, s: 1, j: 2, u: 1}. What is prob of sequence rjs?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 393 + -226. Calculate the remainder when l is divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {t: 3, c: 5, u: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064788 is divided by 152111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 7*n**2 + 2*n + 6. Let z be l(-7). Let y = z + 5. Let o be (-1)\/3*y + -4200001. Round o to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340 - -524. What is the greatest common divisor of 23 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2 - 1) - 1. Suppose i = -0*u - 4*u + 12. Suppose -u*t = -4*z + 12, 2*z + 4*t - 6*t = 6. Solve -5*q = -2*q - z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -1\/2*w**2 + 59*w + 0 - 1\/2*w**3. Calculate z(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/7721796 and 28\/5791347.\nAnswer: 23165388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 12*q - 113256 = -30*q. Is q a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1 + 4 + 2 - 3*v. Let u be 4 - 1 - (6 - 6). Let i = u - -3. Let h(y) = -3*y + 6. Calculate i*q(z) - 7*h(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 3*o - 3*o + (16*o**4 - 4*o**4 + 24*o**4)*(-4 + 4 - 2) to j*o + h + l*o**2 + k*o**3 + x*o**4 and give x.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 2*k**4 - 253*k**2 + 254*k**2 + (-54 - 7*k**3 + 54)*(-4*k - k + 2*k).\nAnswer: 19*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/(26\/24) + 40\/(-140)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(539)*-2 + -4 - sqrt(539)) + 5 - (-4 + (4*(sqrt(66)\/sqrt(3) - sqrt(22)))\/(6*sqrt(32))).\nAnswer: -21*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35496, 70885, 106272, 141657, 177040, 212421, 247800?\n\"Answer: -c**2 + 35392*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*(18 - 21). Let y = 18 + -17. Let l = y - 1. Which is the smallest value? (a) -3 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -5*m + a, 2*m + 5*a = 14. Let f(d) = 35 - m*d - 35. Let p(s) = -6*s**2. Determine f(p(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 + 2*j - 5. Let d be u(-2). Suppose q + k - 91 = 22, -2*k = d*q - 343. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-2*6 - 2*(2*sqrt(171) + sqrt(171)))\/(sqrt(54)\/((sqrt(900) + sqrt(36))\/sqrt(6))).\nAnswer: -102*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 206, 260, 312, 362, 410?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.663 to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let y(k) = -100*k - 230. Let m(o) = -9*o - 21. Let w(q) = 45*m(q) - 4*y(q). Let l(u) = -1. Let t(a) = 50*l(a) - 2*w(a). Determine t(g(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 6. Let x be a(4). Solve -3*t - t = -x*p, 3*p = -4*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, 17789, 7, 5 in ascending order.\nAnswer: 2, 5, 7, 14, 17789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5863? (a) -3 (b) 82 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Suppose 4*r + i*r = 48. Solve 3*y - r = 7*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 8582?\nAnswer: 8585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390 - -420) + 406\/((-56)\/(-8))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcffc. Give prob of sequence ccf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550836447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 2349*b**2 - b - 2349.\nAnswer: (b - 1)*(b + 1)*(b + 2349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 4*(sqrt(567)*-1)**2 + -3)*1.\nAnswer: 9*sqrt(7) + 2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -105*z + 109*z - 32, w = z - 10. What is the closest to w in -49, -0.5, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 3:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145675 or 145673?\nAnswer: 145673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + sqrt(55))*5 - sqrt(550)\/(sqrt(10) - (sqrt(30)\/sqrt(3) + sqrt(10))))\/(sqrt(99)*-1 - (sqrt(11) - (sqrt(77)\/(sqrt(7)*2) - sqrt(11)))).\nAnswer: -32*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 1. Let s = -4.4 - -1.4. Let q = s + 3. Are q and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j, 4*a - 5*j = 60. What is the remainder when 22 is divided by a + (-7 - -3 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfktatavavbfvvfaft. What is prob of picking 1 t, 1 k, and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5647 + 14673 = -5*v, 0 = -4*l - 6*v + 17956. List the prime factors of l.\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1625\/(-9250)*4\/(-26)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25455.2kg to grams.\nAnswer: 25455200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)*(-18)\/27 + (-80)\/(-102).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3748 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8*b = -3*b + 20, -5*m - 20 = 5*b. Let d = 10 - m. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, o: 5}. Give prob of sequence nooo.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 277878 and 51104.\nAnswer: 4446048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - -89. Let x(z) = 2*z + 34. Let o = -41 + 31. Let f be x(o). Calculate the highest common divisor of a and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-2*6 - (sqrt(19)*-5*3)**2) + (sqrt(1539) - (4 + sqrt(1539) + sqrt(1539)*4))**2 + 5.\nAnswer: 276*sqrt(19) + 20370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 + -30?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -841, -1770, -2699, -3628, -4557?\n\"Answer: -929*v + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 20 = -2*g, -6 = -v - g. Suppose v*l = 5*l + 198. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 1, h: 2, j: 1, l: 6, c: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllellllleellll. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 285\/10 - (-6)\/4. What are the prime factors of (-3)\/(3\/4) + 2040\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 2451 = -66*k - 48*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {r: 1, u: 1, m: 2, n: 4, w: 4, k: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7336?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 100, 148, 194, 238, 280, 320?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 1044 - 6 - 3. Which is smaller: x or 1029?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*m, -u + 0*u = -4*m - 12. Solve u*c + 0 - 2\/9*c**2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v + 4*v + 10 - 10*v. Let j be s(5). Find the third derivative of -j*t**3 - 168*t**2 + 155*t**2 + 3*t**3 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 3) + -4 + 8\/(80\/50). Sort -18, p, 22, -1, 3.\nAnswer: -18, p, -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**19)\/c*c*c**(-15)*c*c)**4 assuming c is positive.\nAnswer: c**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 524 divided by 6.\nAnswer: 262\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118873 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45585, -182074, -409547, -727998, -1137421, -1637810?\nAnswer: -2229159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 136395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115680 divided by -5?\nAnswer: -23136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 3, -3*j = -2*o. Let h(w) = -7 + w**3 + 14*w**j + 10*w + 23 - 7 + 2*w. Let d be h(-13). Calculate the greatest common factor of 242 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2231264741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 divided by -4924?\nAnswer: -825\/4924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 = d + 326 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 590932\/203 + -2911. Is 0 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*k + 5*g, -k + 5*g - g + 23 = 0. Let a(v) = -k - v + 4 + v**2 + 0. Let o be a(2). Let f(r) = r**3 - 4*r**2 + 3*r - 2. What is f(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/32*(-16)\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 336*n**2 - 2393*n - 2742. Let d be t(343). Let v(h) = h + 1 - 3*h - h. Let i be v(-1). Solve d*s - i = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 + 1. Let y(t) = t**3 - 11*t**2 + 11*t - 12. Let r be y(10). Let u(g) = g**3 + 2*g**2 - 2. What is r*o(d) - u(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.82 - -2.82. Which is the nearest to -4? (a) -0.5 (b) 8 (c) r (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 18\/7, 3\/7?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/2*(-96)\/15. Is ((-138)\/8)\/((-12)\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 867 - -2?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3831884 and 29960.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 29*t + 11. Is c(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4534 and -4535 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/77 in -2, 0.1, -0.1, -323\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -9*l**4\/10 - 4*l**3\/3 + 9*l**2\/5 + 4*l - 67. What is w in s(w) = 0?\nAnswer: -10\/9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2212\nAnswer: -6636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gugg when four letters picked without replacement from gguggggggggggggggggg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3297.412 + -3289. Let d = 0.4 + -0.412. Let g = d + s. Round g to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-119)\/525)*(-27)\/891*55?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63526205 - 103610008. Let w = -40083803.50000009 - f. Let c = -0.5 - w. What is c rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/(-20588))*6\/(4 + 8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 53*o**3 - 33*o**3 - 7*o**2.\nAnswer: 20*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 714947 or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.9 * 0.018\nAnswer: -0.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -3, 224, -2, -5 in ascending order.\nAnswer: -6, -5, -3, -2, 0, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 83.769.\nAnswer: 83.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3 + 637448*j**2 - 187743 wrt j.\nAnswer: -3*j**2 + 1274896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.107 + -0.307. Is s greater than 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16598.493 rounded to the nearest ten?\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96583 at least as big as 96582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -311*c**4 - 178*c**4 + 24*c**4 + (-6*c + c + 4*c)*(3*c**3 - 5*c**3 + 0*c**3).\nAnswer: -463*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.2, 0, -3\/7, 1, 0.1, 776?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -3. Let u = -24.086 + v. Round u to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -232 + 235. Let t(i) = -9*i - 8*i**3 + n*i + 6*i**2 - i + 6. Let y(j) = 15*j**3 - 11*j**2 + 13*j - 11. What is 11*t(x) + 6*y(x)?\nAnswer: 2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21807608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 3*n + n**3 - 6*n + 17*n - n**2 - 1 - 3*n. Let q(h) = 2*h**3 - 3*h**2 + 7*h - 3. Let s(t) = -2*q(t) + 5*r(t). What is s(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-424)\/(-212))\/((-10)\/85))\/(-1 - (-3)\/(-3))\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49614.\nAnswer: 2, 3, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81.3 - 90. Let f = j + 8.2. Let u = -34.5 + 35. Which is the third biggest value? (a) u (b) f (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/(-6) + 3)\/((-4042)\/(-2020) + -2)?\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.3, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + -489?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 33*w - 728. Let g be l(22). Let d(x) = -x + 12. Let t(s) = 2*s - 13. Calculate g*t(z) - 3*d(z).\nAnswer: -z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**4\/12 - 5*i**3\/3 - 25*i**2\/2 + 704*i + 2. What is c(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2) + (-3 - -9). Factor 0 - 2*u + 2*u**t + 1\/2*u**5 + 3\/2*u**3 - 2*u**2.\nAnswer: u*(u - 1)*(u + 1)*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 533*j + 16 - 1088*j + (2 + 0 + 0)*(j + 3*j - 3*j) + 4*j + 0*j - 5*j.\nAnswer: -1620*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 41500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5472) - (sqrt(3078) + sqrt(3078)*1 + sqrt(3078) - sqrt(3078)))\/(-1*sqrt(288) - sqrt(98)*-2).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v + a + a, -2*v = 3*a + 4. Suppose s - 17 + 7 = 0. Calculate the lowest common multiple of v and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 8*y**3 + 10*y**3 + 2 + 11*y**2)*(4*y + 4 - 4) to the form l*y**3 + i*y**4 + a*y + t + h*y**2 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - y = -6, 2*p + 2*y - 6 = -0*y. Let h be -3 + p + 1 + -26. Is 3 a factor of (7 + -2)*(-30)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413 + -203. Suppose 132 = 1096*k - 1074*k - 528. What is the highest common divisor of k and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*b**3 + 13*b - 7*b - 7*b to w*b**3 + h + d*b + n*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 + 132. Solve 3*n = 5*b + l, 0 = -2*b - 0*n - 5*n + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**3 - 2*v - 1. Let i be p(-1). Suppose -5*r - 4*t + 42 = 0, -r = -t + 2*t - i. Suppose 53 + 649 = r*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 3395500*t**2 + 576467616985*t + 1152948816010.\nAnswer: 5*(t - 339551)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.035, -11, -3\/11, -1\/3, 2680 in decreasing order.\nAnswer: 2680, 0.035, -3\/11, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11130091 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -2 + 3 + -2. Let f = 1 + t. Suppose -m = -3*o + 5400000, -o + f*m + 257053 = -1542947. Round o to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(63)*3)\/(-2*sqrt(27)\/sqrt(3)*2).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 16*i**2 - 11*i + 49. Let b be a(-11). Calculate the highest common factor of 125 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6, 0.11, 59 in decreasing order.\nAnswer: 59, 6, 0.11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from owfkeex?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 842?\nAnswer: 19366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1007, -8118, -27421, -65012, -126987, -219442?\nAnswer: -348473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/49, -2\/3, 0.4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**5\/30 - j**4\/8 - 3*j**3\/2 + 252*j**2. What is s(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 171855, 687347, 1546501, 2749317, 4295795, 6185935, 8419737?\n\"Answer: 171831*o**2 - o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.6 * 384.2\nAnswer: 3688.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 1997856*c**2 - 11987082*c + 17980596.\nAnswer: -2*(c - 998922)*(c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 d be ((-3)\/(-3))\/1 - -3. Suppose -d*s = -3*q + 11 - 1, 2*s = -2*q + 2. Solve -k = -q*b - 14, k - 5*k = -2*b - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3772 * 0.01.\nAnswer: 37.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/17 + 1013988*b**2\/17 - 8112032*b\/17 = 0. Calculate b.\nAnswer: -507002, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 4*b**5\/5 + 2*b**2 + 2. Find the second derivative of t(n) wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i + 2. Let h be p(2). What is the tens digit of h - (-11 + -2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*f + 13179, b - 5*f = 453 + 6159. Suppose -2625 + b = -12*x. Which is smaller: x or -330?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8359369453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((-1 - -1) + -4 - -3))*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 207?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-10))\/((-1)\/2). Let v be 8\/3*(-9)\/30. What is the second biggest value in v, -5, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-448)\/(-64)*((-42)\/(-48))\/7?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924 is divided by 390?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = 3*b, -4 - 14 = -4*b + 5*r. Suppose 5*a + b*o = -203, 2*o - 81 = 2*a + 3*o. Let q be a*2000 - (2 + -2). Round q to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -12 + (0 + 7 - (-9 - (7 + -20)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16369\/7248 - -134\/151. Find the common denominator of z and (2886\/360 + -8)*(-260)\/24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:55 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 54530.69 years?\nAnswer: 545.3069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -3 + sqrt(2057) + -1*(3 + sqrt(2057) - sqrt(2057) - sqrt(2057))))**2.\nAnswer: -6336*sqrt(17) + 132944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 16*s - 13. Let p be o(7). Suppose -q + 3*w = -1, -w - p = -2. Suppose -2*j - 2 = 0, r + 0*r + q*j - 48 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 47. Suppose -5*g = -4*q + 39, 5*q + 4*g = 15 + 3. What is the greatest common factor of q and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 s when three letters picked without replacement from hmrzzsz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 955*p**2 - 10*p - 4. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/5)\/((-4)\/(-10)). Find the first derivative of -2*c**2 + l + 0*c + 3*c**2 + 0*c wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 31*o + 29*o + 90 = 0, -5*o + 5 = 0. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175199*w**5 - 58381*w**2 + 3*w.\nAnswer: 10511940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0 + 0)*(-v - 2 + 2) + 61 - 61 - 9*v**2 + (0 + 0 - 2*v**2)*(1 + 1 - 1).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11234427.\nAnswer: 3, 3744809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/216 + t**5\/30 + t**4\/18 - t**3\/2 + t**2. Let q(y) be the first derivative of c(y). Factor q(k).\nAnswer: (k + 2)*(5*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1744, 3489, 5236, 6985, 8736?\n\"Answer: q**2 + 1742*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22397, 35303, 38721, 32651, 17093, -7953, -42487?\n\"Answer: -4744*l**2 + 27138*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2. Let n(g) = -g - 3. Let z(c) = -2*n(c) - 3*q(c). Let w(o) be the first derivative of 7*o**2 - 9. What is w(z(v))?\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 21\/20*w**5 + w**2 + 0*w**6 + 34 - 16\/35*w**7 + 0*w + 0*w**4 + 0*w**3. What is the third derivative of f(h) wrt h?\nAnswer: -2304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1449*f. Let r(i) = -3*i**2. Determine k(r(z)).\nAnswer: -4347*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 6*u + 236. Suppose -x + 2*x + 98 = 4*n, -2*x - u = 2*n. Let o = x + 218. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*(-1)\/2. Let u be 8\/14*(1 - 14\/8). Which is the nearest to 0? (a) u (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(-2*o + 0 + 0)*(-946*o**3 - 829*o**3 - 835*o**3 + 694*o**3).\nAnswer: -3832*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3300))\/(sqrt(3) - (sqrt(3) + 3*sqrt(243) - sqrt(3))).\nAnswer: -15*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**2*s*x**2 + 112539*f**2*s - 3*f*s*x + 4*f*s - 2*f + 7016*s*x**2 - 2*x**2 wrt f.\nAnswer: 12*s*x**2 + 225078*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 6*x**2 - x - 6. Let i be y(-6). Let k be (-72)\/(-39) - (-4)\/26. Suppose i = -k*p - 2*p. Put 4, p, 3 in descending order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000738469 rounded to six decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8970578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -113, -372, -871, -1688?\n\"Answer: -13*h**3 - 3*h**2 + 3*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001120201 to six dps.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2901\/5 + -577. Which is bigger: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*r + 93243634 + 502366225 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188\/485 or 1?\nAnswer: -188\/485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -85*p - 3485. What is o(-37)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287932555, 287932556, 287932557?\nAnswer: 287932558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 5, -0.22?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5686*j + 2012*j - 10 - 7694*j.\nAnswer: 4*j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305217510*w**6 + 4293208*w**2 + 38 wrt w.\nAnswer: -36626101200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/64*6\/(138\/(-46))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/168 + 891\/7 - (0 - (-50 + 56)).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69356*k**3 + 415*k**2 + 34506*k + 632 wrt k.\nAnswer: -416136*k + 830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 - 10 = 0. Suppose 0*a = -h*a + 592. Let f be (-1)\/4 + a\/16. Calculate the highest common factor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 0 - (0 - 46 - (-197 - -136))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2006 and -107\/6?\nAnswer: 6018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -2*r. Let a(n) = 1. Let q(t) = -3*t + 1. Let b(v) = r*q(v) - 2*a(v). Calculate b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 350465?\nAnswer: 700930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20*d + 15. Let b(y) = -5*y - 4. Let h(f) = 15*b(f) + 4*t(f). Let p be 5\/(-20) + 10\/8. Let c(x) = -x**3. Let j be c(p). Determine h(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-3 + 6)\/((-6)\/4)). Let c(y) be the third derivative of u*y + 1\/30*y**5 + 0*y**3 + 0 + 5*y**2 + 0*y**4. Let m(i) = i**2. Calculate c(m(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-56)*4\/154.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41549918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, y: 1, k: 1, q: 1, r: 2, b: 1}. What is prob of sequence kq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38222?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 7*s**2 + 8*s + 5. Let k be y(-8). Let r(q) = -q**3 + 5*q**2 - q + 6. Let h be r(k). Sort 5, h, -8 in ascending order.\nAnswer: -8, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - 3504000 + 1752000 - 3*y + 1751996.\nAnswer: 6*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**3 + z. Let f(m) = -3*m + 72. Let h(p) = -6*p + 168. Let n(s) = 7*f(s) - 3*h(s). Calculate n(d(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4300 and 7740?\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 720420.9kg?\nAnswer: 720420900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(605) + sqrt(605) + -1))**2*3 + 1 - (1 + sqrt(605) + 1 + sqrt(605) + sqrt(605) + (sqrt(605) - ((0 + sqrt(605))*6 + sqrt(605)))).\nAnswer: -93*sqrt(5) + 6617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 20. Let w = d + 30. Let g = w - 21.999991. What is g rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 31, 8, -15?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -13, -2\/19, 0.1, -58\/7, 4, -2\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3 + 30*x**2 - 300*x + 17. Factor p(l).\nAnswer: -3*(l - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7323952588 + -3.\nAnswer: 7323952585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 191, -110, -941, -2566, -5249, -9254, -14845?\n\"Answer: -44*i**3 - i**2 + 10*i + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmaqqaoqo. Give prob of picking 1 a, 1 q, and 2 o.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 777576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 20*m**2 - 29*m - 184. What is z(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmws when four letters picked without replacement from qoqqsqowoqqsmqom.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331937813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-6)\/(p**(1\/4))**(-1\/8))**(31\/4) assuming p is positive.\nAnswer: p**(-1953\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 7*u - 0*u, -2*r - u + 63 = 0. Suppose 0 = 2*k - 2*n - 12, -k + 2*n + n + 6 = 0. Solve k = 6*i + r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*g**4)*(1 + 4 - 2).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 2*z**3 + 2*z**3)*(-z - 2*z + 4*z).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492 and 75.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/10 + -6)\/(4\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**5\/330 - u**4\/66 + u**3\/33 - u**2\/2 - 6. Let g(o) be the second derivative of p(o). Factor g(l).\nAnswer: 2*(l - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1776912 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511 is divided by 378?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (36 - -8) + -46 + -11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 297 + -302 + (4 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -159*b + 289 + 872 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -476658.\nAnswer: 5\/79443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6259692*q**2 + q - 4375839?\nAnswer: 12519384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 39 + 28 - 10*g - 10*g**2 + 3*g**2. Calculate z(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/1239 and -82\/21.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 111.\nAnswer: 5\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4 + 40*o**3 - 51*o**2 - 79*o - 22 = 0. What is o?\nAnswer: -11, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 48906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*b**2 + 460*b**2 + 521*b**2 in the form g + j*b + m*b**2 and give m.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 - 509*m + 504*m + 71*m**2 + 26. Let r(p) = -116*p**2 + 8*p - 39. Let b(o) = 8*n(o) + 5*r(o). Differentiate b(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + x**2 - x**2)*(-3 - 4 + 4) + (2*x + 2*x - x)*(3 + 4*x - 3) + 2*x**2 - 4*x**2 + 3*x**2 - 3*x as t*x + i + a*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1788903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a minute in seconds?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.97 + -3.9228. Let z = f - 0.1482. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2605*b = 47419 + 80226 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*t - 398 = 0, -4*r + 7*r - 4*t = -592. List the prime factors of r\/(-15) - 3\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -3*m - 5*g, -5*g = m - 2*g - 41. Let b be (-4 - 0) + 4212\/13. Calculate the greatest common factor of m and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -56*v**2 - 236*v - 74. Let h(j) = -547 - 114*j - 13*j**2 + 35*j - 6*j**2 + 522. Let r(z) = 14*h(z) - 5*p(z). Factor r(k).\nAnswer: 2*(k + 5)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8655*h**2 - h + 1. Let x be l(1). Let z = x + -190325\/22. Find the common denominator of -41\/2 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -3, -47, -129, -261, -455, -723, -1077?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*y + 1 - 2*y)*(2 + 3 + 0)*(-2 + 5 - 4).\nAnswer: -10*y - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1271 and 579948?\nAnswer: 23777868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1208, 1228, 1258, 1304, 1372, 1468, 1598?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 8 - 8) + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -4, -5, -1, -1792, 69 in decreasing order.\nAnswer: 69, 13, -1, -3, -4, -5, -1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 = -18. Let m(s) = -4 + 0*s + 4*s - 10*s. Let j be m(-4). Calculate the greatest common divisor of j and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 + j**5\/15 + 5*j**4\/24 + j**3\/2 + j**2. Is h(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.4, 94 in ascending order.\nAnswer: -0.4, 2\/7, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57776063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6783?\nAnswer: 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnennnnnnennnne. Give prob of sequence nne.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/6 - 6873*o**4 + 123745*o**3\/6 + 151213*o**2 - 164964*o = 0. What is o?\nAnswer: -41241, -4, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343616 by 64.\nAnswer: -5369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427770.\nAnswer: 2, 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21212211 + -10?\nAnswer: -21212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w - 142*w + 36*w + 2145 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20600*s + 15171 wrt s?\nAnswer: -20600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/3)*p**(2\/5))**(2\/41) assuming p is positive.\nAnswer: p**(52\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -32. Suppose x*z + 5*g - 105 = 0, -3*z + 117 = -0*z + g. Calculate the highest common divisor of z and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3. Let k(i) = 7*i**3 + 3*i**2 + 2*i + 3. Let b(c) = -5*d(c) - k(c). Determine b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -24. Calculate the greatest common divisor of 9 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, 1, -37 in ascending order.\nAnswer: -37, -18, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/(-25) + 67\/(-10) and -1\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/13*(-2)\/(-4)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34618648819 and 0.21.\nAnswer: -34618648818.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133203.\nAnswer: 3, 7, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1091*5\nAnswer: -5455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2942488 divided by -735622?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*z**4 - 1454*z**3 + 24823*z**2?\nAnswer: -96*z - 8724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15026 divided by -25905\nAnswer: 1366\/2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) - (2*sqrt(448) + sqrt(448)))) + 2 + (sqrt(448) - (sqrt(448)*-3 - sqrt(448))) + sqrt(448) + 4)**2 + -3.\nAnswer: 864*sqrt(7) + 36321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhthhhhhhh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(38)\/sqrt(2)*-2 + ((sqrt(19)*-1 + -5)**2 - sqrt(1216)*2) + -1)*4.\nAnswer: -40*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5 - 354*l**4 + 28855*l**3 - 262650*l**2 - 995276*l - 703416 = 0.\nAnswer: -2, -1, 14, 106, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -156*u + 292. Let c be t(-42). Let p = -3765 + c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8959.869l in millilitres?\nAnswer: 8959869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2551583, -2551573, -2551549, -2551505, -2551435?\n\"Answer: k**3 + k**2 - 2551585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2621 + (-13)\/(78\/(-66)). Is 2630 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2551, -2652, -2755, -2860, -2967?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11144 + 135?\nAnswer: -11005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 252\/5 - 8\/5*p**2 - 118\/5*p + 2\/5*p**3 = 0.\nAnswer: -7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d + -14?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 73. Suppose -o*a + 548 = -3*s + 1680, -5*a = -2*s + 773. List the prime factors of s.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14911 (base 11) in base 14?\nAnswer: 796a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) - 5*sqrt(192)))*6)**2 + 2.\nAnswer: 172802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = -0*g. Let j = -50 + 55. Suppose -g = 2*y - j*v - 2, -8 = -4*y + 4*v. Solve y*r = 8 + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - 9)*(5*y - 4*y - 10*y) to the form p*y + u and give p.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + b - 6, -4*u + 5 = 4*b + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 6 = j - 6*l, 4*j - 36 = 4*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u. Suppose u = -5*c - 3*o - 15, 7*c = 3*c + 3*o + 15. Let y(m) = -10*m + 71. Let d be y(7). Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -2*q**3 - 12*q. Let t(o) = -2*o**2. Calculate t(u(k)).\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8 - 5 - 120*i + 1187*i. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 20*h**2 + 352*h + 832.\nAnswer: -4*(h - 13)*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*m - 144649 + 563704. What is the greatest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Let f be 9\/5 + 5\/25. Let h(d) = d + 4 - f - 2. Suppose 0 = 3*k - 30 + 9. Give k*h(u) - 5*z(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 10543254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 = -4*b + 33. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 - 474 + 49)*(-12*a - 3*a - 4*a - 3*a) as d*a + x and give d.\nAnswer: 8052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-3\/23)\/u)\/(u**(-2)\/u))\/(u*u\/(u\/(((((u\/u**2)\/u)\/u)\/u)\/u))*u)**(-2) assuming u is positive.\nAnswer: u**(-49\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 + 5*o + 9. Let r = -19 + 36. What is the remainder when a(-3) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -28. Calculate the lowest common multiple of 7 and (-3)\/(f\/2) - (-49 + 45).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79088*1 + 3\/((-33)\/(-110)) + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 3*i + 64306 - 64306 + 6*i**2.\nAnswer: 6*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*f + 37, 15 = 15*f - 12*f. Let u = a - 4. Solve -l - u = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 19. Let l be g(-14). Let i(s) = s**2 + 2*s - 4. Let b be i(2). Suppose 2*n - b*t = -t + 4, 2 = n - 5*t. Sort l, 1, 2\/5, n in increasing order.\nAnswer: l, 2\/5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {r: 2, l: 1, s: 1, d: 1, y: 1, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:56 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-1)\/((sqrt(77)*2 - sqrt(77))\/sqrt(11)) + 3 - (-5 + (1 + sqrt(44)\/sqrt(4))*-6 + -4).\nAnswer: 5*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618524 by 154631.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*g + 37 + 558 - 158*g.\nAnswer: g + 595","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32543*s**2 - 65424*s**2 + 32729*s**2.\nAnswer: -152*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 i when four letters picked without replacement from ppppiippspmmsipm?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2*-4*sqrt(180) - (5 + -1*sqrt(180)*3 + sqrt(180)))**2 + -5)*4.\nAnswer: -4320*sqrt(5) + 72304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 167607\/(-36)*(-3 - (-1)\/(-1)). Suppose 1280 = -3*g + f + h, -11548 = -2*g - 4*f. Round g to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -493, -575, -731, -985, -1361?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**4 - 29*d**3 + 118 with respect to d.\nAnswer: -4*d**3 - 87*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -d + 1, -5*d - 18 = -4*i. Suppose 0 = z + 53 - 73. Calculate the remainder when z is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6773*l**3 + 4076*l**3 + 4201*l**3.\nAnswer: 1504*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 13*t**3 + 6*t**3 - 8 + 6 - 12.\nAnswer: 4*t**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 + t + 2. Let f(z) = -11*z**3 - 6*z**2 + 70*z + 16. Calculate f(w) - 9*q(w).\nAnswer: -2*w**3 - 15*w**2 + 61*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5669 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1061*b**2 + b - 94. Let d(w) = 12*w - 5. Calculate d(f(r)).\nAnswer: 12732*r**2 + 12*r - 1133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557.8063 kilograms to micrograms.\nAnswer: 557806300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-23)\/(-5))\/((-355)\/(-50) + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 10.8 (b) -0.2 (c) 0 (d) 117 (e) 5 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2997 - 2992. Solve 3*t - 3*l = 15, -u*t - 5*l - 6 = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*j**3 + 66*j**2*n - 549*j*n - 4*n wrt j?\nAnswer: -1218*j + 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 153*g**5\/5 - 9*g**3 - 4*g + 250. Find the third derivative of y(a) wrt a.\nAnswer: 3672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 8209 + 8209.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 900641 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3344.4 (b) 0.01 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*b + 527 = 0, 390*q + 523 = 395*q + 2*b. Suppose 11 = -3*v + 62. Suppose v*z - q = 2*z. Calculate the lowest common multiple of z and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 15*n - 5. Let l be o(5). Suppose 4*k - 9 = -1. Suppose 50 = k*y - 6. What is the highest common divisor of l and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10029638 by 65.\nAnswer: -10029638\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33966048 is divided by 214.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 + -240.6. Let o = 0.5 - 0.3. What is the closest to 0.1 in o, c, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36)*(896\/49)\/(-16)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26705, -26626, -26547?\nAnswer: -26468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 41. Let w = t - 12. Let q be -719998 - (-1 + w - 0). Round q to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74485 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 30.5, -0.5, -1481\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/10*-8)\/(12\/90). Let x = -9 + 15. Let o = -13 + x. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -546 by 26.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**24))\/t**20 assuming t is positive.\nAnswer: t**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 56*l**3 + 11*l + 34*l**2 - 6*l**3.\nAnswer: 50*l**3 + 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -17093?\nAnswer: -170a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34 (b) -2 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76109339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 5*p**2 + 1208 - 2*p - 2*p.\nAnswer: 5*p**2 + 1208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/35 (b) -4 (c) -7 (d) 5 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126204*r**5 - 9618*r**2 + 2*r + 5?\nAnswer: 7572240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -5, -7, 1, 55 in descending order.\nAnswer: 55, 2, 1, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (414\/230 + -12)*(4\/(-3) - 2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 - 0.47. Put s, -4, -19 in decreasing order.\nAnswer: s, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19584498.6us?\nAnswer: 0.0002266724375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 6 = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x. Let t(l) be the third derivative of 0 + 1\/10*l**5 + 0*l + 0*l**3 + 0*l**4 - 72*l**2. Determine t(c(d)).\nAnswer: 486*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -65, -304, -655, -1118, -1693, -2380, -3179?\n\"Answer: -56*l**2 - 71*l + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 7 + 1 + 7.\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1026.56 - -1044. Let j = o + -17. Let f = j - -9.06. Round f to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5600 and 448.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 0.5. Let y = 1 - a. Let r = y - 1. Sort -3, 0.2, r.\nAnswer: -3, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 5*n - 2. Let t be q(-4). Let i be 1\/2 + 1 - 1. What is the closest to -0.3 in -1\/4, i, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 256947 + 256905 - 513852.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4214.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -27*i**4\/4 + 8*i**3\/3 + 126*i + 242. Let w(s) be the first derivative of k(s). What is the second derivative of w(t) wrt t?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b + 154*b**3 + b + b - 122*b**3 + 11 wrt b.\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - (18 - (24 + -14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d**2 - 72*d**2 - 174*d**2.\nAnswer: -209*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 10404*m**5 + 34850*m**4 + 4085*m**3\/6 + 5*m**2 + 9*m + 81. Factor n(w).\nAnswer: 5*(w + 2)*(204*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633 (base 13) to base 6.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1\/539870)*(-558)\/(-1116) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 24.6597 days?\nAnswer: 2130598080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jva when three letters picked without replacement from {v: 5, j: 4, d: 2, a: 2}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -12c94141?\nAnswer: 12c94136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.6351 * -0.2.\nAnswer: 10.52702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-55)*1593\/27.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -2 + -2.\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -10148.\nAnswer: 10147.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30553384634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 2*u - 24. Let h be q(7). Suppose 0 = -h*l + 22*l - 770. Let n = -17 + l. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i**3 - 24*i**3 + 788*i**2 - 1619*i**2 + 789*i**2 - 2617*i wrt i?\nAnswer: -90*i - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111110 (base 2) to base 7\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -5. Let l(g) = 8*g**2 - 305*g + 40. Let w be l(38). Is 9 a factor of o*(w\/(-10) - 28\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from ynynnyyy?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2860 and 3240?\nAnswer: 463320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -314*o - 3294. What is the remainder when h(-47) is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from bbttttz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = j, 6*l - 2*l = -5*j + 33. Solve 5*n + 0*r + 5 = 4*r, j*r = 4*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-90)\/(-4))\/((-30)\/40). Let z = b + 47. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/350 and -31\/1225?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/30, 3, -6, 4, -5, 2\/23 in decreasing order.\nAnswer: 4, 3, 2\/23, 1\/30, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*8\/(-54)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 237?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 13. What is the greatest common factor of 44 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11809 divided by 49?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -2, 9309, 2 in increasing order.\nAnswer: -2, -1, 2, 3, 9309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 + 5*w**4\/24 + w**3\/3 - 7*w**2. Let r be g(-3). Let a = r - -48. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.56975l in millilitres?\nAnswer: 6569.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - d + 2. Let l(s) = 8*s**2 - s + 1. Give 6*b(h) - 7*l(h).\nAnswer: -2*h**2 + h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 14*t**3\/9 + 219404*t**2\/9 - 240346*t\/3 + 20900 = 0.\nAnswer: -15675, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -134, -30, 74, 178, 282?\n\"Answer: 104*h - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -2) - -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {d: 1, c: 2, q: 1, k: 1, y: 2, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8750 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -800 or -777?\nAnswer: -777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13503318 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.90592 millilitres to litres.\nAnswer: 0.04290592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2850403 is divided by 10180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**2\/2 - 3*u + 27. Calculate the lowest common multiple of i(-6) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.05, 4, 11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from axitihth.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 101. Let z = -18\/11 - -25\/22. What is the closest to y in -4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 129. Solve -17 = 6*v + j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from itbtiis.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3)\/t)**(-2\/21)\/(t**(3\/14)\/(t\/(t\/(((t*t**(-1)\/t)\/t*t)\/t*t)))) assuming t is positive.\nAnswer: t**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-2)\/(-4))\/(3\/18). Let m(h) be the first derivative of 0*h + c*h**2 - 5 - 2\/5*h**5 + 0*h**4 + 5\/3*h**3. Find the third derivative of m(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3504*o - 14092 - 31316*o + 7045 + 7047 in the form c + i*o and give i.\nAnswer: -27812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 3}. Give prob of picking 2 a and 1 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 137, 94, 19, -94, -251, -458?\n\"Answer: -z**3 - 10*z**2 - 6*z + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -11206?\nAnswer: -29\/11206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 12:34 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-59)\/(4 + (-4077)\/1017) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*k**2*l**3*x + 10*k**2*l**3 - 13*k**2*q + k*l**3*q*x + 2*k*l**3*q - k*l**2*x - 55*k*q*x - l**3 - 2*q*x wrt k.\nAnswer: -22*l**3*x + 20*l**3 - 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let m(p) = -p + 1. Let f(y) = 4*m(y) + 3*w(y). Let x be f(4). Suppose 5*v - 4*v = 8. Solve -3*q + 3*i + 6 = 0, q - v = -x*i - i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a (base 11) to base 4.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*m - 0*m - 256 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (6 + -5)) + -10 + 9 + -40.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3 + 1 + 2*n**3 + n - 8*n**2 - n**3 + 5*n. Calculate d(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 7*a**2 + 9*a + 20. Let o be w(-6). Let u(j) = j**2 + j - 4. Let b = -5 - -2. Let d be u(b). Solve 2*n = o*i + d, 15 + 5 = 4*i + 2*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 + 1457 = 3*i. Let z(b) = -5*b**3 - 2*b**2 + 3*b + 4. What is the remainder when i is divided by z(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2708.249ml?\nAnswer: 2.708249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 1. Let b = -4 - 1. Let n be 10 - (-13)\/(182\/(-98)). Let q(i) be the second derivative of i**3\/3 - i**2\/2 + 2*i. Calculate b*q(u) + n*v(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7 - -10) + 1 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d - 294 = -137*d + 71*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-6))\/7)\/((-15)\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.018 and 177530.\nAnswer: 177529.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 8*a**2 + 4*a - 28. List the prime factors of z(-14).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)\/a*a)\/a)**21*(a\/(a*a*a**(2\/15)\/a))\/(a\/(a**(-3)\/a)))\/((a\/(a**(-1\/3)*a))\/((a\/(a**(1\/6)*a))\/a)*(a*a**(-1)*a)**(-2\/91)) assuming a is positive.\nAnswer: a**(-132709\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 15) in base 13?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -6.4. Let p = 3.8 - z. Let w = 2.9 + p. What is the smallest value in w, 1.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i**5 + 0*i + 0*i**3 - 1\/40*i**6 + 0 + 1\/4*i**4 + 7*i**2. What is the second derivative of v(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 7*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 143*r - 893. Calculate the remainder when 185 is divided by g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93603103 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 200544.98343524\nAnswer: -200545.48343524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**2 - 169257*x - 33852.\nAnswer: 3*(x - 11284)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26375 is divided by 6589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n - 5. Let r be h(-5). Let m = -4 - 0. What is the nearest to 1 in r, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/798)\/(153\/459)?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1725 - 1035. Suppose -33*b + y - 1440*b**2 + 755 - 5*b**4 - 170*b**3 + 203*b = 0. What is b?\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -0.065?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(2864\/(-538432))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ef - 13943?\nAnswer: -13a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2. Let s = 4 + -2. Let o(i) = -5*i**s - 2*i**2 + 3*i**2. Determine n(o(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v**2 - 148*v + 446\/3.\nAnswer: -2*(v - 1)*(v + 223)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/190*110\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5581*m**3 - 15094*m**3 + 9532*m**3 - m**2.\nAnswer: 19*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (-3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -549 + 41. Suppose -5*m - 425 = -5*o, -p + 465 = 4*o - 5*m. What is the units digit of o*1*(-4 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3510 divided by -39\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -32*o - 44. Let a(x) = -16*x - 24. Let z(h) = -11*a(h) + 6*y(h). Let b(g) = -18*g**2 + 4*g. Determine z(b(i)).\nAnswer: 288*i**2 - 64*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*d + 10 - 45 = -2*u + 797*d, 3*u + 0 = -2*d + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -9 - (48\/(-36) + 12). Which is the nearest to 0? (a) w (b) 5 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.62 + 0.1. Let z = 136.88 - 137. Let x = b + z. What is the closest to -1\/3 in 0.1, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547606.1 months in decades?\nAnswer: 12896.7175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*d - 2509 = -2469, 3*x + 29*d = -98 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/52780 and -19\/3016.\nAnswer: 105560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let f(r) = -r**3 - 2*r**2 + r + 3. Let q(o) = f(o) + n(o). Does 10 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 - c - 11. Let u(j) = 16*j**2 + 4*j + 33. Give -7*k(m) - 2*u(m).\nAnswer: 3*m**2 - m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-291599)\/(-17) + (-42)\/(-357)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*w + 5, -2*f + 50 = 3*f - 5*w. Suppose 0*t - f*t - 2*v + 114 = 0, -4*t + v + 99 = 0. Let g = -20 + t. Is g > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/8)*j**8*j)\/(j**(-7\/5)\/(j**10\/j)) assuming j is positive.\nAnswer: j**(791\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, f: 1, p: 4}. What is prob of sequence pp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27150 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.352 minus 1?\nAnswer: 116.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*w + 120 = 4*w, 3*r + w - 86 = 0. Calculate the greatest common factor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 11. Give t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 75. Give s(-18).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5\/13 - 66*z**4\/13 - 1290*z**3\/13 - 6950*z**2\/13 - 12000*z\/13 = 0.\nAnswer: -5, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 479382951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -904 - -1842. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1)\/y)**(-1\/16))**(-31) assuming y is positive.\nAnswer: y**(31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76380 by -6.\nAnswer: 12730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 - 198. Solve -5*a = s - 7, a - 2*s + i = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 1304696 = 1305506 for h.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*m + 20. Solve -3*h + 13 = -z, -z - 2 = 5*h - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, d: 2, m: 7}. What is prob of picking 1 m and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 394*q - 1015*q + 1228 + 1256 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13928 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*n + 4*y = 236*n + 27, 5*n + 24 = 3*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 462 in 3, -40, 0.1, -1, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6747 + -2.043. Let b = 4.59 - 4.22. Let j = l + b. What is j rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 24 = 11. Let w = -3 + m. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a**2*u**2 - 81*a**2 - 5*a*u**2 - a*u with respect to u.\nAnswer: 18*a**2*u - 10*a*u - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*o**4 - 58*o**3 + 8*o**2 + 102*o - 36 = 0. What is o?\nAnswer: -3, -2, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**2 + 25*t - 9. Let a(l) = 5*l**2 - 12*l + 4. Let w(j) = 7*a(j) + 4*u(j). What is the units digit of w(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-10))\/(-10 + -2). Let p(g) be the third derivative of g**2 + b*g**6 + 0*g + 1\/6*g**3 + 0 + 0*g**5 + 0*g**4. Differentiate p(j) wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*15\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 182874004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21332 (base 5) in base 7?\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 277 + -272. Suppose -3*l - 4*x + 112 = 12, z*x = -l + 26. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1320, -2640, -3960, -5280, -6600, -7920?\nAnswer: -9240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 22*g - 1300. Let m be u(59). Let p(b) = -b**2 + 5*b + 3. Calculate p(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + (-29 + 47 - -61)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -10817521*i**4\/27 - 52624*i**3\/27 - 32*i**2\/9 + 2*i - 2250. Factor b(m).\nAnswer: -4*(3289*m + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 17 + 33. Let a be (8\/(-10))\/((-60)\/g - 2). Is (0 + 11\/a)*(-17 + 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = -2*i + 227 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*i = -63, 2*i = -2*k + 43 - 1. Let x = k + -14. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8185402259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(63)\/(-2*sqrt(9)).\nAnswer: -sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**3 + 24*p**2 + 19*p - 7. Let c(z) = 168*z**3 - 8*z**2 + 1 + 1 - 6*z - 172*z**3. Let v(k) = -7*c(k) - 2*t(k). Factor v(f).\nAnswer: 4*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71952 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - g)*(-1187 - 950 - 223 + (-4 + 3 + 2)*(-3 + 5 - 3)) - 5*g + 7*g + 0 + 2.\nAnswer: 2363*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 9. Let r(d) = d**2. Let m(q) = q**2 + 9*q - 11. Let z(p) = -m(p) + 2*r(p). Let b be z(8). Let x(f) = f - 13 + b*f - f. Give -7*v(u) - 5*x(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165265\/5124 - 4\/1281. Let u = g + -32. What is the second biggest value in -0.5, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:42 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40814 less than -2?\nAnswer: -40816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -584.38 in 5, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -53, -98, -161, -242?\n\"Answer: -9*u**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l. Suppose 5*i + 7 - 22 = l. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w + 19. Let b(f) = 5*f - 20. Let r(n) = -5*b(n) - 6*i(n). Calculate the smallest common multiple of 30 and r(6).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 42 = 179. Let r = f + 184. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158492 (base 13) to base 4.\nAnswer: 2001333311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13060*m**3*z**3 - 16*m**3 - 3*m**2*z**2 + 31*m*z wrt z.\nAnswer: -78360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 340, 489, 628?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*r + 100, 2*r = -18 + 28. Calculate the greatest common divisor of p and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1. Let y = -5 + 4. Which is the closest to y? (a) 1\/5 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 390109637\/1899 - 205429. What is the common denominator of -127\/18 and c?\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -14 (c) 10 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526 is divided by 64?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 110*j**2 - 12*j. Let q(f) = -44*f**2 + 5*f. Let m(a) = 5*l(a) + 12*q(a). Let w(d) be the second derivative of d**4\/6 + 1879*d. Determine m(w(i)).\nAnswer: 88*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1051.4 + 1051. Let h = -3.95 - 0.05. Let x be (-1)\/(-3) - 0\/(-1). Which is the nearest to u? (a) h (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 10:16 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**7\/2520 - 11*l**6\/720 - l**5\/15 - l**4\/12 - 3*l. Let v(p) be the third derivative of b(p). Is v(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80375970599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, h: 2, r: 2}. Give prob of sequence xxr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - l**2 - 1. Let p be c(3). Let b = 50 - p. Suppose 4*d - 3*r - 26 = -r, -b = 2*r. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqjroorrrlrr. What is prob of sequence jql?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z\/(z\/(z\/((z\/((z*z**(-1)\/z*z)\/z))\/z*z)))*z)*z)**(-17)*(z**2\/z)**(13\/3) assuming z is positive.\nAnswer: z**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mre when three letters picked without replacement from {o: 1, r: 1, m: 1, e: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfnyy. What is prob of sequence fy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let c be 1 + 1*6\/j. Does 2 divide (-2)\/4*(1 + c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + sqrt(405)*2 + sqrt(405) + 3 + sqrt(405) + -5)*-4 + 0.\nAnswer: -180*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o + 8. Let h be (o\/(-3))\/(18\/(-135)). What is the third derivative of -4*p**5 - 4*p**5 + 10*p**2 - p**h wrt p?\nAnswer: -540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*s - 13. Let c(j) be the second derivative of -3\/2*j**2 - 1\/6*j**4 + 1\/20*j**5 + 0 + j - 1\/3*j**3. What is c(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*a**4*v**2 + 8607*a**4 - 7*a*v - 181*v**2 - 4 wrt a.\nAnswer: 204*a**2*v**2 + 103284*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 6*b**5 + 32*b**3\/3 - 30. Find the third derivative of m(p) wrt p.\nAnswer: 720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 78543 + -30?\nAnswer: 78513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xec when three letters picked without replacement from eceeecxgcgd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 175*q + 8 + 176*q - 336*q. Calculate g(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21011121211 (base 3) in base 13?\nAnswer: -4c32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 2\/11, 4, -0.06, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19905 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1916152901097259042.99999963 - -1916152892891868435. Let a = 8205390641 + q. Let r = a + -33. Round r to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 6806?\nAnswer: 871168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*((16\/(-20))\/4)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826326.\nAnswer: 2, 3, 29, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**7\/840 + n**6\/720 - n**4\/8 + 2*n**2. Let u(l) be the second derivative of d(l). Find the second derivative of u(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 36*h**2 + 61*h - 11. What is c(-9)?\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 + 4*g + 4. Let c(i) = 5*i**2 - 3*i - 3. Let v(q) = 4*c(q) + 3*r(q). Let k = 21 - -18. Let s(j) = j**2 - 39*j + k*j. What is v(s(m))?\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 16*d - 19. Let z be 1\/2 + 105\/(-10). Let u = z - -23. Let g be r(u). Solve 4*k + g = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298677, -598416, -898155, -1197894, -1497633?\nAnswer: -1797372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265594541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o*o**(-2\/7)*o)\/o)\/o)\/o*o)\/(o\/(o**(3\/8)\/o)*o*o*o)*(o**(-1\/4))**(-18) assuming o is positive.\nAnswer: o**(89\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 8:21 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -5 - (-33 + 29). Let z(a) = -a**2 + 25. Calculate z(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -35, -0.3, 66?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -3\/5 (b) 1\/2 (c) -4749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3\/11 + 56*o**2\/11 + 392*o\/11 + 576\/11 = 0.\nAnswer: -18, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2470325.\nAnswer: 5, 11, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 13325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 + -6 + (3 - -1) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p + 14*p - 11*p - 25 - 4*p. Let f be h(10). Suppose 0*o - 92 = -2*o. Calculate the highest common factor of f and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 447 + -273. Let c = m + -181.9. Let p = 45.3 - c. Round p to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = -23, -99 = -2*r + 5*i. Let f = r - 18. What is the remainder when 54 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6)\/24*20 - -8 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**3\/9 + 5*u**2\/3 - 4*u - 49. Factor q(y).\nAnswer: -2*(y - 3)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/120 - g**5\/12 - g**4\/12 - g**3\/6 - 10630*g**2. Calculate u(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -29. Suppose -b*g + 2*g = -16. Suppose q + 750 = 4*q - 3*f, 2*q - g*f = 494. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71561150 and 7156115.\nAnswer: 71561150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 186 + -183. Suppose -3*c - u*c = 0. Solve 5*l - 3*l = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 < 818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y. Let u(s) = 15*s - 20*s + s**2 + 4 + 2. Let v be u(4). Let b(p) = v*p - 3*p - 2*p - 5*p. Give z(b(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*r + 3*b + 2, 5*r - 3*b - 132 = 0. Let y = 19 - -99. What is the remainder when y is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-75)\/(-36) - 30\/40). Solve -p*g - 14 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 738, 38\/7, -5, -335?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 280796992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 4*q**3 - 2*q**3 - q + (-2*q + 3 - 3)*(q**2 - 1 + 1) as u*q**2 + j*q + p + c*q**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(264)\/(sqrt(48)*-4))\/(1*(sqrt(98) - sqrt(98)*2)*-3).\nAnswer: sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.39002 litres in millilitres?\nAnswer: 46390.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/84)\/(5\/(30\/(-4))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -302688.18 rounded to the nearest one hundred?\nAnswer: -302700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:32 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnyanyynaya. What is prob of picking 2 y and 1 n?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 15*u + 1. Let o be f(-14). Let c = -13 + o. Calculate the highest common divisor of c and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37557 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6930 is divided by 3146?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(4*(sqrt(4) + sqrt(8)\/sqrt(2))).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37755623771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 3.9. Let q = 0.56 - 0.46. What is the closest to q in i, 0.8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3088 and 50759?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81291 and 150234?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*l**2*o - 11*l**2 - 2*l*o - 54*o + 1 with respect to l.\nAnswer: -20*l*o - 22*l - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z. Suppose -4*g - 16 = d, 4*d - 4*g + 4 + 0 = z. List the prime factors of 10*(8\/d)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36326*a**2 + 40810*a.\nAnswer: -72652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-19))\/(1126\/(-10697))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 459493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220433000 rounded to the nearest one million?\nAnswer: 220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3288 = -4*h, 0*h - 4*h = t - 1654. Find the second derivative of i + t*i**2 - 1647*i**2 + 0*i wrt i.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178030807 minus 506704?\nAnswer: -178537511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -l - 8, 975*l - 3*v = 977*l - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 4*n**2 - 3*n - 10. Let i be c(-4). Solve -3*x + 7 + i = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212489\/24 + -8858. Find the common denominator of z and -89\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/5, -0.3, 0 in increasing order.\nAnswer: -6\/5, -0.3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 78, 76, 74?\n\"Answer: -2*v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15583324 is divided by 1416659.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a - 42177 = -36*a + 101286. What is the remainder when a is divided by 67?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = 4*i + 3, -5*z - 3*i = -15. Suppose z*g - g = 6. Suppose -1\/2*d**2 + 0*d + 0 + 1\/2*d**g = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5*t = 60. List the prime factors of (t\/(-6))\/(13\/1170).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 8*s**2 - 10*s - 2. Let l be t(-9). Suppose 8 = -6*x + l*x. Calculate the remainder when 18 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.035 or -0.02?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -5793?\nAnswer: -1\/1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242221420 - -1?\nAnswer: -1242221414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 2061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let h = l - -1. What is the third derivative of -2*a**4 - 4*a**h + 4*a**3 - 2*a**2 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -24*p**2 + 2*p. Let u(m) = 6*m**2 + m + 1. Let t(b) = -47*b**2 - 8*b - 8. Let l(z) = -3*t(z) - 24*u(z). Determine c(l(g)).\nAnswer: -216*g**4 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 8. Suppose -19 - 21 = 5*r. Let k be c(r). Solve -5*d - 5*n = k, -2*d + 4*n + 7 = -11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*b = -8, -d + 10 = -9*b + 4*b. Suppose d = 11*p - 80 + 25. Sort 88, p, -4 in descending order.\nAnswer: 88, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -26*(357\/14)\/(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*b - 909 = 0, 0 = 3*f + 3*b + 65 - 998. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Let o(w) = w**3 - 7*w**2 + 9*w - 1. Let y be o(6). Suppose y*v - 6*v = 110. Calculate the lowest common multiple of v and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.26035 - -16.43. Let g = 6.17 + -6. Let l = q - g. What is l rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Let c(v) = 4*v**2 + 19*v - 6. Let g be c(-6). Suppose 4*j + g - 96 = 0. Solve -h = 5*m - j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.406 plus 4875.5?\nAnswer: 4875.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -428327.7 plus 4?\nAnswer: -428323.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide (24\/(-10))\/((1971\/41670)\/(-73))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102121122200 + 1?\nAnswer: -102121122133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 699917159 + -397.208\nAnswer: 699916761.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2644, 5279, 7914, 10549?\n\"Answer: 2635*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from fnbtbwwv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/30 - (-4)\/3. Suppose -p*f - 4 = 0, 0*f - 16 = -4*q - 2*f. Solve -3*u + 6*u = q*r - 15, -5*r + 5 = -u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -464 by -7936.\nAnswer: 29\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*n**2 + 506*n**2 + 502*n**2 - 1509*n**2 - 493.\nAnswer: 3*n**2 - 493","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.318 times 0.21?\nAnswer: 0.06678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -675, -1679, -3635, -6861, -11675, -18395?\nAnswer: -27339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.512.\nAnswer: -0.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + q - 6241*q**2 + 1 - 7 + 34779*q**2.\nAnswer: 28538*q**2 - q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*l + 2334, -4*l + 1075 = v - 782. Let b = 469 - l. Let -87\/7*s**3 - 3*s**5 + 66\/7*s**2 - 90\/7*s**b + 108\/7*s + 24\/7 = 0. Calculate s.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/51 in -5, -4, 4\/5, 5, 3, -64?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h. Which is greater: 2\/73 or h?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 23*t**2 - 29*t + 120. Let k be z(24). Solve k = -3*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641116.9mm to nanometers.\nAnswer: 641116900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**6\/15 - 2*y**5\/5 + 7*y**4\/8 - 11*y**3\/12 + y**2\/2 + 13*y - 20. Let f(n) be the first derivative of s(n). Factor f(t).\nAnswer: (t - 2)*(t - 1)*(2*t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + l - 26 = 3*l, -10 = 2*l. Solve -q*r + 6 = 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11664.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 25. Let g be q*((-60)\/8)\/(-5). Sort -0.5, 0.4, g in descending order.\nAnswer: g, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n. Let i(k) = -3*k. Let z(p) = -6*i(p) - 5*q(p). Does 6 divide z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -400 - 677*p - 398 + 1190 - 398 in the form c*p + k and give c.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 58, 8 in decreasing order.\nAnswer: 58, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -34. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.34 + -30.19. Let i = -29 + 25. What is the third smallest value in -0.3, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 37 = -29. What is the tens digit of (-4)\/(-1) - (h - -38)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23608 - -23673. Solve r*z - 5 = 60*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*g**3 + 31*g - 60*g**2 + 62*g**2 - 31*g - 2*g**2.\nAnswer: -772*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*a - 24 + 193, 0 = 5*a + s - 245. Let h(u) = 5*u**2 + 1. Let o be h(-1). What is the greatest common factor of o and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.7593 years in decades?\nAnswer: 12.57593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 0.3006.\nAnswer: 4.3006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.8713 kilograms to grams.\nAnswer: 224871.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = 2*b. Suppose -3*t = -3*z - b, -2*z = t + 2 - 5. Let k(v) = v**3 - 2*v**2 + 2*v - 2. What is the units digit of k(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x + 6*x + 2*x)*(-1 + 1 - 1)*(x + 2*x**3 - x) in the form c*x**4 + w*x**2 + u + o*x + i*x**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3808.245 + 3793. What is g rounded to 1 decimal place?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:25 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/33 and 1\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18164 and 185464.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Let o(f) = f + 5. Let i be o(-4). Let t(d) = -d. Let h be t(5). Put h, j, i in decreasing order.\nAnswer: j, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3036 divided by 1012\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 - 5. Let i(o) = -3. Let d(n) = 4. Let u(m) = 4*d(m) + 5*i(m). Let y(c) = 2*u(c) + w(c). Give y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*n**3*q*v + 130*n**3*v**2 - 2*n**3*v - 5*n**2*q*v**2 - n**2*q*v - 54*n*q*v**2 - 73*q*v + 24*v wrt v.\nAnswer: 260*n**3 - 10*n**2*q - 108*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/4268 and 32\/9.\nAnswer: 38412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-4 + 1 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) + -2*sqrt(189)*2 + sqrt(189))\/((sqrt(363) - 2*sqrt(363))*-4).\nAnswer: -3*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30571 = 8*x - 50413. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6863*u**3 + 166*u wrt u?\nAnswer: 41178*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 11011010010?\nAnswer: 11011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-5)\/(-2))*(-20)\/90. Let y(w) = 9*w + 2. Let c(t) = t. Calculate u*y(x) + c(x).\nAnswer: 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*j**3*m*t - 3893*j**3*m - 10*j**3*t + 339*j**2*m*t + 19*j*m*t - 15*m + 1 wrt j.\nAnswer: 66*m*t - 23358*m - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 807107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) 1 (b) -6\/7 (c) -0.1 (d) 2390 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - h - h)*(-1 - 1 + 1)*(6*h + 0*h - 2*h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 117762*w**2.\nAnswer: w**2*(w - 235524)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2 + 0*v + 0)*(-173*v**2 - 453*v**2 - 61*v**2).\nAnswer: 687*v**3 - 1374*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1706, -3412, -5118, -6824, -8530, -10236?\nAnswer: -11942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - v + 1 - 3*v)*(78 + 150 - 53 + 211) as j*v + n and give j.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 20*v - 22*v = 1096, 5*c + 3*v - 1359 = 0. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 3*v + 3*v + (0*v + v - 3*v)*(-3 + 4 + 2) + v + 0*v - 3*v + (-4*v - v - 3*v)*(3 + 1 - 5).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 6. Let k be w(-8). Suppose 0 = -k*n + 19 + 95. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*8\/24)\/1*20\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2498430 + 2498430 + 5*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -66*f - 60. Let o be (10\/(-8))\/(2\/8). Does 45 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 7*k**2 + 2*k - 20. Let p be r(4). Suppose p*a - 2091 = a. List the prime factors of a.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2105, -8428, -18967, -33722, -52693?\nAnswer: -75880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1298 and 1299 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**2 - 7*l + 7. Let w(q) = -5*q**2 + 4*q - 4. Let m(p) = 4*k(p) + 7*w(p). Let d(z) = -4*z**2 + 6 + 3 - 9. Calculate m(d(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/646 and 45\/8?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 12, -1680, -6 in increasing order.\nAnswer: -1680, -6, -3, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 294*q**3 - 2*q**2 + 126408*q - 48972123.\nAnswer: 882*q**2 - 4*q + 126408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 5*a + 6. Determine s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 - 6*d**2 - 6*d - 8. Let j(y) = -y**3 + y**2 + y + 1. Let l(n) = -6*j(n) - v(n). Let f be l(0). Suppose -3 = -f*k + 13. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 496 or 472?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37477 is divided by 9326.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 11, 0.2, 3091, -3 in ascending order.\nAnswer: -3, 0.2, 1\/4, 11, 3091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15\/(-16))\/(132\/(-187)*1) and 11\/24?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 17*g + 37*g)*(g**3 + 0*g**3 + 2*g**3).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i*i**(4\/3)\/i)\/i*i)*i**(-2\/13))\/(i\/i**(2\/7))**35)**(-10\/11) assuming i is positive.\nAnswer: i**(10330\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 5*u = -27*g + 165, g + 3*u - 69 = 0. Let b(q) = -134*q + 1. Let r be b(-1). What is the greatest common divisor of r and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 + -355. Find the common denominator of (u\/10)\/(243\/45) and 10\/309.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 10 = -5*n, 9*y + 4*n - 2 = 8*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 2*a**2 + a**2 + (-4*a + 16*a - a)*(-a + 2*a - 5*a) to the form n + t*a**2 + h*a and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(245) - (4 + sqrt(245)*-3))*-6.\nAnswer: -24 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -h, 0 = 3*x - 5*h + 29. Suppose 4*z - 6*z + 50 = 0. Suppose -z = -4*j + 5*o, -5*j - 5*o = -3*j + 25. Put j, x, 3 in decreasing order.\nAnswer: 3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -0.8297892648?\nAnswer: -0.1702107352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from ttdff?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 0.071064.\nAnswer: -0.568512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011001101110101 (base 2) to base 14.\nAnswer: -a815b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 13 = -3*u - 29, -3*o + 3*u = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 838 + -161. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*z - 3, -2*z + 0*z + 3*c - 1 = 0. Let f(b) = 3*b + 6. Let o be f(z). Put 17, o, -1 in decreasing order.\nAnswer: 17, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - y - 1081 = 0, -5*y = -5*n + 382 + 958. List the prime factors of n.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 2. Let d(c) = -20*c - 4. Let u(i) = -4*i - 1. Let z(y) = -2*d(y) + 11*u(y). Suppose 2*t - 4 - 10 = 0. Calculate t*l(w) + 4*z(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16568 is divided by 1003.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29970 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63102648 and 29680?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -25*s**3 + 13*s**2 + 11*s. Let h(j) = 6*j**3 - 3*j**2 - 3*j. Determine -9*h(p) - 2*t(p).\nAnswer: -4*p**3 + p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 7*g**2 + 12*g + 3. Let a be h(-2). Solve -x = -6*x + 5*q + a, -x = 3*q + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/42 and -4\/1519.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13706449 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*i**2 - 901*i + 89*i + 318*i**2 to f*i + y*i**2 + h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -8.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 9:27 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:59 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 402356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33494200 - -0.412?\nAnswer: -33494199.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28429094?\nAnswer: 2, 53, 268199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -h + 2*z, z = 3*h - 2. Suppose b - 28 + 25 = 0. Solve 6*g - h*g + 8 = 4*v, b*v = -g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35037, -34885, -34733, -34581, -34429?\n\"Answer: 152*g - 35189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.941 - 12. Let d = u + -0.401. Let m = -0.09 + d. What is m rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 - 188 = 0. Let b = -66 - s. Is b - (-1)\/(3\/(-3)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 34*i. Let s(g) = -2*g + 22. Give s(f(p)).\nAnswer: -68*p + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(10)*-3*-6))\/((sqrt(18) + 6*sqrt(18)*4)\/sqrt(9)) + 2.\nAnswer: sqrt(2)\/450 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12)\/110)\/(2\/70) and 67\/(-3)*(-195)\/520.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -115*s**4\/6 - 4397*s. Let z(b) = -4*b. Determine i(z(l)).\nAnswer: -3680*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -1\/4, -0.002, -57.8, 4 in increasing order.\nAnswer: -57.8, -1\/4, -2\/19, -0.002, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/569, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106, 88, 58, 16, -38, -104, -182?\n\"Answer: -6*s**2 + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 + 5. What is the tens digit of u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8693053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Suppose 0 = -4*q + 3*o + 4 - 3, 4*q = -z*o + 36. Solve -2*j**2 - 2*j**3 + 0*j + 2*j**q + 4*j - 2*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2889 and 322452846?\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (-1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -8. Let i be (-348)\/(-8)*p*38. Is (-2)\/(-7) + i\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5 - 9508*y**4 - 5711080*y**3 - 71837520*y**2 + 479929824*y - 402371712 = 0. What is y?\nAnswer: -1182, -18, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/107, -0.56, -12 in decreasing order.\nAnswer: -3\/107, -0.56, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/1*(-90)\/(-27). Let i = 32 - g. Does 14 divide (i\/15)\/(2\/80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1117, 419, 7\/2, 0.4, 0.1 in descending order.\nAnswer: 419, 7\/2, 0.4, 0.1, -1\/1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -10, 1\/3, 1, 5, -9 in decreasing order.\nAnswer: 5, 1, 1\/3, -2\/7, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8303.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/60 - 5*l**4\/6 - 38*l**3\/3 + 61*l**2 - 7*l. Determine u(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738166777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46881, 94014, 141147?\n\"Answer: 47133*j - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 2*z**7\/7 + 63*z**5 + z**4\/2 + 10*z**3\/3 + 661*z**2\/2 + 15471. What is the third derivative of s(o) wrt o?\nAnswer: 240*o**3 + 7560*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 12*m + 8. Let d be h(-12). Suppose 0*k - 136 = -d*k. What is the lowest common multiple of 6 and k?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 19*l - 9*l)*(-2 + 2 - 2*l)*(-5 + 5 + 2*l**2).\nAnswer: 104*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 2. Let w(q) = -16877*q + 8441*q - q**2 + 8437*q. Calculate a(x) - 2*w(x).\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/42 and 61\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 4, 2, -65, -1 in increasing order.\nAnswer: -65, -1, 2, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v**2 - v + 1. Determine j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 8:57 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b + 25. Let a be s(-2). Suppose -4*o + 1 = -c + 50, a*o - 12 = 0. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8880 = 62*l - 22*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26*j + 45. Let q be x(9). Let b be 3 - ((0 - 2) + 2). Suppose v - 2*g = -3*g + 287, q = v + b*g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-104))\/(2\/(-28)*3).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2014 + 1?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(((l*l\/((l\/l**0)\/l))\/l)\/l))\/(l**(-1)*l**(-2\/21)\/l) assuming l is positive.\nAnswer: l**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3678352.\nAnswer: 2, 229897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-218)\/327*6\/40\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6532 - -6532.5. What is the closest to 0 in 9\/14, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 1406587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (57\/(-8) - 9\/((-432)\/6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2203 + -2202.9. Let l(t) = -t**3 + t**2 + t. Let d be l(2). What is the second smallest value in 2, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.07. Let u = y - -1.93. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 15 = -6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -29. Let b be k*((-45)\/10)\/(-9). Solve 6 = f - 2*a, b*f - 3*a - 9 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -57*u**3 + 2*u**2 + u. Suppose -q + 1 = -2*q. Is v(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 2:53 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/65)\/6 - 316\/(-26). What is the greatest common divisor of r and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 19 - h - 58. Determine q(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 0.11455 (c) 3\/8 (d) -5 (e) -2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7360 divided by 32\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2392 or -1905?\nAnswer: -1905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muaum. What is prob of picking 1 a, 1 u, and 2 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**3\/3 + 178. Suppose 0*d - 4 = 4*d. Determine p(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1547 take away 99292?\nAnswer: -99291.8453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193 - -197. Solve -4 = l, -2*l + 7*l = -v*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 7*n + 2*g + 310, -3*n = 5*g - 952. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -52. Let t be 9 - (10\/s + -1). Suppose m = t*m - 8. Solve -4*n + 5*x = -2, -2*n = -3*x - m*x - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 306112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -672*t**5 + 8*t**3 - 3276*t.\nAnswer: -13440*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 40*g - 1152. Let v = 3 - -1. Solve -g = v*y - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 58*t**3 + 41*t**3 + 14 + 8 - 28.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -15*c + 4445. Let p = -438 + c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 438128, 876215, 1314260, 1752263, 2190224?\n\"Answer: -21*z**2 + 438150*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 499*a**4 - 2*a**3 + 5*a - 8 - 7 - 500*a**4 in the form c*a**3 + m*a**4 + z + x*a + b*a**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - v**4 + 0*v**2 + (-1 + 1 - 2*v)*(-3*v**3 + 3*v**3 - v**3) - 15*v**4 - v**4 + 4*v**4.\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**3 + i**2 - 1. Let l be f(-1). Is (-3)\/l + (-70284)\/(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5\/75 - 3*l**4\/40 - l**3\/15 + 3*l**2. Suppose k(a) = 0. What is a?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = k + 4*x - 14, k = -3*x - 43. Let a = k - -42. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(2\/(-4) - -1). Suppose -y + 3*y - 190 = u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**4*j**2 - 63*g**4*j - 8*g**3 - 84*g**2*j + 33*g*j**2 + j wrt g.\nAnswer: -192*g*j**2 - 1512*g*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t - 8. Let f(l) = -16*l + 13. Let d(w) = -3*w + 5. Let o(u) = 4*d(u) - f(u). What is 6*o(b) + 5*z(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -28 - 2. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 - 5*y + 2. Let j(b) be the second derivative of b**4\/12 + b**3\/6 - b**2\/2 + 12*b. Let a(h) = -i(h) - 3*j(h). List the prime factors of a(7).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*a**3 + 16*a - 16*a + (-a**2 + 0*a**2 + 3*a**2)*(0*a - 2*a + 4*a) + 3*a + a**3 - 3*a + 2017*a**3 - 1318*a**3 - 1136*a**3.\nAnswer: -429*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, g: 3, y: 5, a: 10}. Give prob of sequence jaay.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 80. Let g be 2\/6 + 6736\/(-12). Let a = c - g. What is a rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -2\/21, 4, -0.2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. Let b(u) = 31*u**2 + 6*u + 25. Is 22 a factor of b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5941576 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: Let r(d) = 2*d**2 + 6*d - 10. Let s be r(-5). Solve -4*i + 2*f - 18 = 0, -15 = -5*f + s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -695 divided by 5.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 1:48 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1046, -1378, -1888, -2540, -3298, -4126, -4988?\nAnswer: -5848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18587.\nAnswer: 18587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*j - 19. Let k be (-4)\/j*4\/(-2). Sort 2, k, 5.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 112.839? (a) 6 (b) 0.19 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 473\/(-165)) + (-4)\/(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 24*n**2 + 30*n + 4. Let w = -99 - -124. What is the remainder when q(w) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.67. Let b = 27 - 27.3. Sort -4, b, h in ascending order.\nAnswer: -4, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 26061041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {t: 2, p: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -127 + 521 - 129 - 135 - 127 - 2*k. What is c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (-23 + (0 - -20) + 5)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(180)\/sqrt(9) + sqrt(5) + 0)**2*-5 - 1*(sqrt(245) + sqrt(245)*2)*2.\nAnswer: -625 - 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 3*c + 7. Let n be f(5). Let l(j) = -j**3 + 2*j + 1. Let a(z) = 3*z**3 - 5*z**2 - 10*z - 5. Let q(i) = -a(i) - 4*l(i). Determine q(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/126*3*6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 32 - 48. Let c be l\/3*12\/20*2. Suppose 43 = 5*w + 8. Solve 5*d = c + w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2441 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358078?\nAnswer: 2, 7, 25577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.12 (b) -2 (c) 3 (d) 2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2\/5 + 26444*u\/5 + 3293472 = 0.\nAnswer: -5915, -696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -402650 (base 7) in base 6?\nAnswer: -1243535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5*c - 108 = 0. Suppose x + c = 7*x. Let u = 27 - x. 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: How many minutes are there between 8:13 PM and 8:54 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.156 - 0.03?\nAnswer: -1.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 + 2*d - 3. Let b be l(0). List the prime factors of 0 - -133*(-3)\/b.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -51.4. Which is the nearest to -0.1? (a) p (b) 2\/13 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c**3 - 41*c**3 + 136*c**3 - 28*c**3 - 19*c**3 - 29*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -521\/4 - -131. Let w = -1.7 - -1.7. Which is the closest to w? (a) -2\/11 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2738 - 8141\/3. Find the common denominator of 47\/18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1237 - -3107. Let n = j + -34. Suppose -3*y - 9*y = -n. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 310 and 1099447699.\nAnswer: 1099448009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 63*q**2 + 5*q + 14. Calculate j(-2).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -67 + -18 - -39 - -59\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (30 - 18) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/24*-3*(-15980)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -306*o**2 - 62 with respect to o.\nAnswer: -612*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -369, -553, -741, -933, -1129?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppqpnnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94.00001459 + 94. What is i rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 382 = 2*w, -30*w + 3*u - 380 = -32*w. Let o = w + -148. Is o at most 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247618023 is divided by 9701?\nAnswer: 9699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 424519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -7. Let g = s + 19. Suppose 0 = -3*u + 61 - g. What is the highest common factor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2024 by -506.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s + 43117 = 135*s - 117029. What is the lowest common multiple of 738 and s?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77\/102 - -3\/34. Let o = 96 + -14. Let y = -161\/2 + o. Which is the nearest to q? (a) 0 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 + -5 - (1 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6105296 is divided by 339183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1778859 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*a + 24 = -277*a. Solve -3 = 4*h + a*y - 7, 0 = -2*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997081 is divided by 4793.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3359 or 1?\nAnswer: 8\/3359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-5) + 32*(-3 - (-87)\/30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b - 5. Suppose -l + 2*v + 90 = -5*l, -5*l + 4*v - 106 = 0. List the prime factors of u(l).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-12) - -2)*(-8)\/(-7). Solve -b = -2*p - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -1\/40*t**6 - 16*t**2 + 0 + 4*t**3 - 3\/2*t**4 + 3\/10*t**5 + 0*t. Let m(q) = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 2.3?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egy when three letters picked without replacement from {e: 2, g: 7, y: 6}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 878 = 226. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:43 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 7*m. Let j be ((-4)\/6)\/(1\/30*-4). Suppose 3*o - 4*n = j + 9, n = 1. Give r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*a + 53541*a + 80 - 80 + 73416*a.\nAnswer: 126426*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/2*(-5)\/(50\/(-5)). Let a(c) = -10*c - 76. Calculate the remainder when 71 is divided by a(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bcf5 (base 16) in base 6?\nAnswer: 2235205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -557, -564, -571?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 11*v + 16. Let y be ((-20)\/(-42))\/(v\/6 + -2). Which is the third biggest value? (a) -2\/7 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-4)*(7 + (-10293)\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51627, 50954, 50281?\n\"Answer: -673*w + 52300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(44) - sqrt(704)) - (sqrt(440)\/(sqrt(30)\/sqrt(3)))**2 - (6*sqrt(220)\/sqrt(5)*-1*-1)**2.\nAnswer: -1631 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -259 - -259.1. Let m = 3.9 - 0.9. Which is the closest to i? (a) m (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - -3 - 0 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 10*a**2 + 0*a**2.\nAnswer: -10*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*d = 174*d - 87. What is the greatest common divisor of 411 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {u: 3, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 7*r - 1818. Calculate the greatest common factor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3\/10, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 147*w = -302*w - 8687 + 26419 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 261*t**2 - 1608*t - 1598. What is w(-267)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -77.13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 + -2. Let n = 27\/200 + 6\/25. Suppose 2*t = -1 - 1. Put t, f, n in increasing order.\nAnswer: t, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -3*z**6\/20 + 157*z**5\/5 + 317*z**4\/3 + 424*z**3\/3 + 10*z**2 - 2*z. Factor w(k).\nAnswer: -2*(k - 106)*(3*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + (20 + -3 - 7) + -10 - (-4 - -3)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*a + 51. Let y = 53 + a. Let n = -90 - -97. Solve 0 = -3*u - r - 17, y*u - 4*r + n = -0*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222176 and 60?\nAnswer: 3332640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k. Let n(y) = 176*y + 33. Let w(c) = -11*c - 2. Let m = -179 - -278. Suppose -10*a + 7*a + m = 0. Let h(p) = a*w(p) + 2*n(p). Calculate r(h(f)).\nAnswer: 33*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 7*f**2 - f - 2. Let r be l(-3). Let z be 13 - r\/(-5 + -3). Calculate the highest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 9. Let w be (j - (3 - 0))\/(-5). Let t = 0.28 - 0.08. Put t, 6\/7, w in descending order.\nAnswer: 6\/7, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - -11001101001001111100?\nAnswer: 11001101001001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/6 - 170\/(-60). Let -88*f**2 - 60*f**5 + 147*f**4 - 55*f**4 + 24*f**y + 18*f + 18*f - 4 = 0. Calculate f.\nAnswer: -1, 1\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - 9. What is the smallest value in -1, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -64?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 104. Let q(m) = -m + 2. Suppose 3*j = 1 - 7. Let y(v) be the third derivative of 5*v**4\/24 - 4*v**3\/3 + 8*v**2. What is j*y(k) + o*q(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(20\/4)*(-4)\/(-28)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 43365?\nAnswer: 86730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23638720 and 242200?\nAnswer: 118193600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 15 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/4*(-6)\/(-9) + -3. Is t != -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 652 = 824. What is the smallest common multiple of 18 and c?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/2 - 16*f**3\/15 - 4*f**2\/5 - 5. Find n such that m(n) = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**3*g**4 + 41*d**3*g - 17*d**2*g**2 + d**2 + g**5 + 128*g**4 wrt g?\nAnswer: -96*d**3*g + 60*g**2 + 3072*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 9*i. Let f be w(-10). Let l be (5\/2)\/((-5)\/f). Suppose l*r - 364 = -2*r. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21874.293 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - -16 - (-53 + (17 - -32)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 6)*(0 + 2 - 4) - 17 - 12 + 6 + (-3 + 7 + 0)*(4 - 6 - 1))*(3*i - 5*i + i) to the form h + s*i and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (1 - (12 + -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 38*i**2 - 95*i + 221. Is 11 a factor of n(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + sqrt(20)\/sqrt(4)) - (sqrt(5) + 0 + sqrt(320)).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 9)*(-7)\/14. Suppose x*w - w = 1600470. Suppose -2*d + 1653490 = w. Round d to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24816 by -4136.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 10 = -11*l, 73*l = 76*l + z - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 0.1 (c) 3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 - 29486787*q\/5 + 11794714\/5 = 0.\nAnswer: 2\/5, 5897357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112201 and -2.8?\nAnswer: 314162.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 2, j: 2, v: 2}. Give prob of sequence zpvv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 65*z**2\/2 + 26*z - 32. Let m be k(-11). Let u = 1140 + m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 36*b**2 + 59*b - 1046. What is h(18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 17*z + 39. Calculate d(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 11. Let u be y(-6). Suppose 2 + 18 = u*h. Suppose -2*c + 4 = -3*f - 4, h = -2*f. Let q(k) = -7*k + 1. Give q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 40*z - 234. Let f be x(6). Let a be (-2)\/f - 407\/(-33). Let y be 4 - -8 - 2\/4. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1941003\/92 or -21099?\nAnswer: -21099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14343 - 286831\/20. Let t(o) be the second derivative of 12*o**2 + p*o**5 + 0 + 0*o**4 - 10*o + 0*o**3. Find the first derivative of t(y) wrt y.\nAnswer: 87*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2476613 centuries in months?\nAnswer: 297.19356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 357*q - 227*q + 321*q - 89*q.\nAnswer: -352*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2022 + (3 + -17 - -15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7928.873 + 7941. Let o = d - 0.127. What is the nearest to o in 0.5, -1\/10, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394249.\nAnswer: 394249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 1.82497524722072.\nAnswer: -0.82497524722072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((216\/112)\/9)\/(3\/14*-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 1:03 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 111 = 23*a. Solve 17 = -a*c + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h - 1. Suppose 4*t - 1 = -20*m + 21*m, m = -5. Let v(x) = -6*x**3 - 3*x + 3. Calculate t*v(k) - 3*d(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-2) - (-4 - -6). Let k = -22 + t. Let z(x) = -x**3 + 4*x**2 - x - 4. Give z(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o**2 + 256*o + 1126. Calculate l(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167760, -168334, -169290, -170628?\nAnswer: -172348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + -2*(sqrt(208)*4 + (-1*sqrt(52))**2)).\nAnswer: -160*sqrt(13) - 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 4. Let u(a) = 3*a**2 + 5. Let r(o) = 5*b(o) - 4*u(o). What is r(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3\/2 (c) 0.013 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 113*u - 113385 = -115*u, -3*u = 4*z - 90715. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -5*i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8983 - -8931. Put b, -206, 5 in decreasing order.\nAnswer: 5, b, -206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-6))\/(-19 - 3424\/(-192)). Let z(o) = -38*o - 1. Let q(t) = 37*t + 1. Calculate p*z(f) - 3*q(f).\nAnswer: -35*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -733 (base 14) in base 6?\nAnswer: -10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5 - (-62 + 61)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.499193 rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1040 and 13520?\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4513 + -4511. Solve j*i = 19*i - 85 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 12) to base 8.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 + u**2 + 9*u + 5. Let y be s(-2). Let t be 85*((-6)\/(-10) - 1). Is y greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/14)\/((-4)\/(-14)). Let d(a) = 2*a**2 - a. Calculate d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 44877 = 5*q, 66*w - 26899 = -3*q + 71*w. What are the prime factors of q?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, o: 1, r: 2, b: 1, a: 1}. What is prob of sequence ra?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -666 + 682. Let i(z) = 3*z - 13. Let v be i(6). Suppose -2*d + 6*d - 32 = -v*l, l = -3*d + 24. What is the highest common factor of b and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009375858 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -25*t + 7*t. Suppose 2*v + t = -7, 5*v = -n + 325. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g + 4*g + 0*g + ((3 - 3 - 2*g)*(-1 - 5 + 4) - 3*g + 0 + 0)*(-3 + 4 - 2).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1138 or -52?\nAnswer: -1138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16493*h**2*m**2 + 2*h*m**2 + 57*h*m - 2*h + m wrt h.\nAnswer: -32986*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 4*d**3 + 2*d**3 + (5*d + 0*d - d)*(0*d + 0*d - d)*(2*d + 0 + 0).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4215354 (base 6) to base 16.\nAnswer: -31f96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s**2 + 2*s + 2. Calculate the remainder when l(-2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684082736 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - -2950567347148\nAnswer: 2950567347149.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2188*l + 109796 = -17479 - 97081 + 40564 for l.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*v)*(-2 + 0 + 3)*(3*v - 2*v**2 - 3*v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 + 8*q**2 + 9*q + 1. Let p be s(5). Let k = 434 + p. Calculate the remainder when k is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. Suppose s - 6*s - 2*c + 3994 = 0, -y*c = 5*s - 3988. Suppose -s = -m + 5*m. What is m rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, -7 in increasing order.\nAnswer: -7, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 2*i. Let k be 7 + -4 + (140\/(-4) - -2). Let p be i*(-2)\/9*k\/(-20). Solve -3*n + 11 = -2*d - 3*d, 0 = d + p*n + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 38\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4386)\/450 + 8 - 2\/(-25).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-3)\/21828*3298\/194?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6)*3\/5*2. Let f(o) = -o**2 - 3*o + 2. Let w = 20 - 23. Let u be f(w). Solve -3*t = 5*y - 8, 32 = -2*t - u*t + l*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (24 + -24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 228 = -10*l - 282, 8 = -4*l - 2*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 248943172 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-20541468*r**3 + 23*r**4 + r + 20541468*r**3 + 22).\nAnswer: 46*r**4 + 2*r + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 less than or equal to 164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1\/4, 2\/7, -2\/9, -4 in increasing order.\nAnswer: -9, -4, -2\/9, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 1052*d**2 - 64*d - 16832.\nAnswer: 4*(d - 4)*(d + 4)*(d + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 24 (b) -2 (c) -2\/5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/3 - -2) + -2. Let x(v) = v + 16. Is x(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(76) - (-1 + sqrt(19)*2)**2.\nAnswer: -78 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1 + (29 + 14 - 8)*(-1 - 3 + 2))*(7*h + 0*h + 8*h).\nAnswer: -1065*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -4307?\nAnswer: -4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - r + 18, -r = 13*g - 14*g + 2. Solve 2*c - 2*a + 2 = 2*a, 5*c = g*a - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(8\/14 + 5\/((-280)\/(-52)))\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.68 - -0.82. Let y = u - 30. Sort 9, 5, y in ascending order.\nAnswer: y, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 6, y: 11}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)\/(c**(-5\/6)*c) assuming c is positive.\nAnswer: c**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 - 0) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -175658.79 plus 4?\nAnswer: -175654.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*7\/((-7)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**2 + 4*l + 4. What is the least common multiple of b(-2) and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, a: 11}. Give prob of picking 3 a and 1 i.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**5*u**2 - 49*n**3*u**2 + 60*n**2*u + 2*u**2 wrt n.\nAnswer: -60*n**2*u**2 - 294*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(-11*(-10)\/880)*-9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 653 + -668 + -1 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 0 + (7 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 12*d - 11. Let m(g) = 10*g**2 + 37*g - 33. Let f(r) = 2*m(r) - 7*u(r). Let s = 12082 + -12090. Calculate f(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24810740 and 99242960.\nAnswer: 99242960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)\/h)\/(h*h*h**4*h)*h**6*h*h*h*(h\/h**(-4))\/h assuming h is positive.\nAnswer: h**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11 = -2*z, 4*z + 0*z - r - 17 = 0. What is the highest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/44 + 33\/(-121). Let b = 0.3 - 0.31. Sort b, 0, y in decreasing order.\nAnswer: 0, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/501?\nAnswer: 2\/501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726753 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 + 93*b + 1039. Calculate m(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2)*m)\/(((m**(-7)*m)\/m)\/m))\/((m\/(m\/(m*m*m**(2\/23)*m)))\/(m**(1\/5)\/m)) assuming m is positive.\nAnswer: m**(933\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -316.3+-190549\nAnswer: -190865.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -38 (b) 783 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 117 = -131 + 247. Put y, -22, -5, 13 in ascending order.\nAnswer: -22, -5, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22039943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*-5*1*sqrt(405)*2 + ((sqrt(405) + 0)*4 - (sqrt(405) + 5*-1*sqrt(405))) + -2)**2.\nAnswer: -584824 + 1368*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1137 and 16724891?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 10. Let i be (12\/(-3) - v)*-2. Suppose i*m + 5 = 4*m - 3*c, m = 2*c + 1. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*m - 119, 4*o + o = -2*m + 270. Let r(v) = 53*v - 22*v - 3*v**2 + 4*v**2 - 6*v + o. Let k be r(-23). Solve -k = -0*a + 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*2\/(-2))\/((-86)\/4). Sort n, -2\/3, -0.2 in decreasing order.\nAnswer: n, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*s + s. Let k = 443\/696 + 5208167\/7656. Let a = k + -679. Is s >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11332 (base 4) to base 6\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2590 + -2589.8022. Round s to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -516, -415, -312, -207, -100, 9?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 230224468 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 3*i**2 - 2*i - 20. Let h be v(-4). Let f(m) = -2*m - 3. Give f(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160283 (base 9) to base 13\nAnswer: -35b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00497552098 to six dps.\nAnswer: 0.004976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fibws. What is prob of picking 1 s and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/78 + (-4530)\/(-24375). Let t = v + 1738\/375. Suppose -58*b - 92\/3*b**3 + 596\/9*b**2 - 2\/9*b**5 + t*b**4 + 18 = 0. Calculate b.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from nfnff?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.068778\nAnswer: -0.34389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - t. Let b be o(-1). Let y(d) = -6*d - 2. Let u be y(b). Calculate the greatest common factor of u and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012368 to the power of 1\/2, to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 5*u + 6. Let v be i(6). Suppose -2*q = -v + 20. Suppose a - q = -4*a. What is the remainder when 19 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.47169?\nAnswer: -0.188676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9\/34765630?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1*67 + (-19 - -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 584547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 226*w**3 + 2*w**2 - 3*w + 2. Let s(t) = t**2 - 12*t - 12. Let x be s(13). Is 47 a factor of n(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/4125 and -19\/642?\nAnswer: 882750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 2, x: 1, p: 1, q: 2, o: 1}. What is prob of picking 1 p, 1 n, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 - 89. Suppose -j - j = m - 42, 5*m = 2*j - q. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + w = -3*d - 8, 0 = 2*d - 4*w - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**9)\/(g**(2\/49)\/g))\/((g*(g*g**15)\/g)\/((g*g**(-2)*g*g)\/g)) assuming g is positive.\nAnswer: g**(-247\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**4\/24 - s**3\/3 - 6*s**2. Let i be z(4). Find r such that -7*r**3 + 6*r**3 + r**i - 4*r**2 - 2*r = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 3\/7 (c) 1\/2 (d) -1\/2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007253577 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/63 and -31\/15.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2220834830?\nAnswer: 2, 5, 1873, 118571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10208 is divided by 433.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415587.\nAnswer: 3, 19, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (886*c - 174*c**4 + 175*c**4 - 722*c - 10*c**5)*(4 - 1 + 0).\nAnswer: -30*c**5 + 3*c**4 + 492*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131298*q**3 + 6307*q wrt q?\nAnswer: 787788*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - (-2276)\/3. Let f = k + -480. Suppose -t - 135 = -2*m - 2*t, -t - f = -4*m. What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76053, -304009, -683935, -1215831, -1899697, -2735533, -3723339?\nAnswer: -4863115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -25*y + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111010111110 (base 2) in base 11?\nAnswer: 28594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 48, 63, 84?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:00 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023.74nm to millimeters.\nAnswer: 0.00102374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4484 and 51448?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1024948161 to the nearest integer?\nAnswer: 32015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -54*t - 44. Determine d(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*((-93)\/(-15) - 6). What is the third biggest value in y, 2\/11, 34?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*8\/((-56)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21221 + 122?\nAnswer: -21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.00825 in -1, 35, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -165, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-920)\/(-200) + (10\/(-2) - -1))*-5. Is 95 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by (-1 + (-3)\/(-2))\/((-209)\/(-20482)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -33 in increasing order.\nAnswer: -33, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2748*f. Let y(j) = -916*j. Calculate -3*b(r) + 8*y(r).\nAnswer: 916*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*y - 19, 0*y - 16 = -4*o - 4*y. Let q(u) = -3*u - 13. Let c(m) = m + 1. Let d(z) = o*q(z) + 4*c(z). Let p be d(9). Solve x + x = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - 1186\/9. What is the closest to -0.3 in k, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 m when three letters picked without replacement from {f: 8, m: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -17*l - 36. Which is bigger: l or -25\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 19*q - 61. Suppose -14*d + 17*d + 28 - 82 = 0. Calculate y(d).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/12)\/((-5)\/20). Suppose -i*s + 53 = -67. Calculate the greatest common factor of 10 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.55 + 46.94. Which is the biggest value? (a) -2\/11 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b2d + 8?\nAnswer: -b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 - 2 + 2)*((-w - 3*w + 6*w)*(1 - 1 + 5) - 9*w - 6*w - w).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -2222*d**3\/3 - 267*d - 2926. Differentiate b(p) with respect to p.\nAnswer: -4444*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 34*u. Let l be z(2). Suppose j - l = -j. Suppose 3*b - 2*i - 22 = 0, j = 7*b - 2*b - 4*i. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 57\/5 (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -21. Let a = -4 + t. Let d = 11 - 10. What is the nearest to d in -0.3, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1475911 or 1475912?\nAnswer: 1475911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*p - 272 = -262, 0 = -p + 1. Sort -0.2, o, 3\/2, -1, -2 in descending order.\nAnswer: o, 3\/2, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2 - 1869*o - 750.\nAnswer: 3*(o - 125)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, 2\/7, 6, -28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (75\/(-56125))\/(2\/(4\/3)). Do w and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -11 in increasing order.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79753 or 1\/501?\nAnswer: 79753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1486, -1, 195.\nAnswer: -1486, -1, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 7 + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-4) + 22\/2 - 5. Calculate the highest common factor of 515 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 51006.78 years?\nAnswer: 51.00678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j**5 + 85*j**4 - 710*j**3 + 845*j**2 + 50*j - 280 = 0 for j.\nAnswer: -14, -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73398019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44048 + 44048.000000838. Round a to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*q - 17*q - 6*q - 2*q - q + 0*q - 2*q + 4*q - 3*q - q - q - q + (3 - 1 - 4)*(-3*q - 3*q + 5*q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797941.26 seconds to days.\nAnswer: 9.23543125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4550.227 tonnes in micrograms?\nAnswer: 4550227000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 0.5, 4\/5, -1647?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 15 = -6*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/3*2\/6. Suppose 0 = 29*k - 26*k + 54. Let r(s) = s**2 + 18*s + 1. Let a be r(k). Solve -a = -u*z + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*g - 17 = 0, -3*p + 3*g - 18 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 60 = -17*y. Suppose 0 = -k - 4*g - 0*g + 1, 2*k + 5*g = y. Solve u + 20 = k*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 543935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*l**5*q - 3*l**4*q - 355*l*q - 2*l wrt l.\nAnswer: -2860*l**3*q - 36*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lele when four letters picked without replacement from eeelelel.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 145, -2, 2 in decreasing order.\nAnswer: 145, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20988427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1620) + sqrt(1620))**2 - -2*(sqrt(245) - (sqrt(245) + 1 - sqrt(245)))**2.\nAnswer: -28*sqrt(5) + 40992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d - 100 = -19*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/16)\/((-20 - -36)\/384). Solve -35 = g*w + 13 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from bbbtwtbttbww?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094206 minus 1126317?\nAnswer: -2220523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4433 + 4432.9992808. What is p rounded to five decimal places?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:09 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69824834 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35505684 rounded to the nearest 100000?\nAnswer: 35500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**2*i - 2*b**2 - 38*b*i - 84*i - 6 wrt b?\nAnswer: -12*b*i - 4*b - 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 152231 = -3*r + 14*m, 3*r + 2*m = 152227. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)\/(x*x*x\/x**(-8)))\/(x**6)**(-10))**49 assuming x is positive.\nAnswer: x**2107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 40 = -2*t, j - 3*t = -t - 20. Let w be (-96)\/j - 2\/10. Calculate the least common multiple of 3*(1 + (-1)\/w) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 5 = 0. Let y = -1268 - -1266. Find the common denominator of -109\/6 and (y\/(-3))\/(f + 175\/(-42)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 6*k - 92 + 14. Let h(f) = -17*f**2 - 23*f. Let y(m) = -8*m**2 - 11*m. Give k*y(i) + 6*h(i).\nAnswer: 2*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -261121 (base 10) to base 2\nAnswer: -111111110000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19682991 = 3*t - t - 3*a, -4*t + 39366027 = 3*a. Suppose -t - 38658497 = 5*y. What is y rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 7\/5, 0.09 in ascending order.\nAnswer: -3\/2, 0.09, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 76. Let u be d\/15*(-210)\/(-12). What is the second derivative of 32*n**5 - u*n - 7*n**5 + n wrt n?\nAnswer: 500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422648982?\nAnswer: 2, 3, 7, 97, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g + 357*g + 7125 = -171*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/5 + 4316766*c\/5 + 8633544\/5.\nAnswer: -3*(c - 1438924)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3093*x**2 - 1016*x**2 - 1017*x**2 - 1037*x**2.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 1:14 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 547 - -3. Let w = -177 + a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405735 + 976*y**3 + 405735.\nAnswer: 976*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*j**5 - 16*j**4 + 32*j**2 + 1 wrt j.\nAnswer: -3480*j**2 - 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f**4 + 0*f - 1\/2*f**3 + 0 - 2*f**2 - 1\/20*f**5. Let k(z) be the first derivative of r(z). Let n(c) = -c. Give n(k(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 5. Let a(r) = r. Let u(k) = -k + 2. Let x(c) = -2*a(c) - u(c). What is x(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 11*k - 8. What is the units digit of f(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3 - 1. Suppose -3*p = -s*y + 10, -15 = -y - 2*y - 3*p. Suppose -y*o + 39 = -6. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*g - 4*k, -3*g - 2 = 2*g + 4*k. Let z be (-5)\/(-6)*g\/(-5). Which is the second smallest value? (a) 5 (b) z (c) -16 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152 - -178) + 0 + -9 + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568*d + 579*d = 60192. Is 76 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/10 - 6\/(-15). Suppose a + a + k = 11, a - u*k + 7 = 0. Suppose -5*w = -2*l - 891, -l + 2*l = -a*w + 539. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4370?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 4, o: 4, d: 1, h: 1}. Give prob of picking 1 h and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1351.8751823 to the nearest ten.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32579?\nAnswer: 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, -308, -1307, -3340, -6773, -11972?\n\"Answer: -61*v**3 + 32*v**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11799\/1228 at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 5, 2\/3, -3.6021, 16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 468 and 468 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 241*c + 54. What is the lowest common multiple of n(0) and 792?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4 - 4720*n**3 + 14124*n**2 = 0.\nAnswer: 0, 3, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooouoo. Give prob of picking 1 u and 3 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196 = -17*s + 193 - 165. Solve -345 + 129 = -s*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(170)*2*3)\/((sqrt(80) + -1*sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80))\/sqrt(8))*-6.\nAnswer: -6*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 28*n**2 - 5*n - 13. Let d be z(28). Let m(r) be the first derivative of -63*r**2 + 17. Let c(g) = -5*g. Determine d*c(p) + 6*m(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*x**4 + 100*x**3 + 3*x**4 - 2*x - 98*x**3 as m*x + r*x**4 + d + o*x**3 + b*x**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 - 69 = 0. Let v = 72 + o. Suppose v*m = -j + 2*m + 34, j - 4*m = 28. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 45852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -27. Suppose 0 = -p*a - a + 231. Suppose a - 82 = o. Let f(m) = 2*m + 5. What is f(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 - -129. Let o = -119 - t. Which is the second smallest value? (a) -2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h = 26. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (1\/2)\/(9\/252).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 10*n + 15. Let b be i(9). Let p be 11\/3 + (-1)\/(-3). Suppose p*s - b = 34. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67 + 1 + 272)*(-3*o**2 + 2*o**3 + 3*o**2) in the form n*o + k + p*o**2 + f*o**3 and give f.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285060 is divided by 11877.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 21 = -4*h, -133*g = 3*h - 136*g - 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 2, e: 1, u: 3}. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**6 - 3*s**5 - 1613*s**4 + 5*s**2 - 2*s wrt s.\nAnswer: -360*s**3 - 180*s**2 - 38712*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2252632.\nAnswer: 2, 281579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -84\/61 (b) 0 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbb when three letters picked without replacement from {t: 2, b: 8, s: 2}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 11*u + 11. Determine j(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) 97\/1487 (d) -20\/9 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/50*(1505\/344)\/(((-117)\/(-252))\/(-13))?\nAnswer: 98\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1123021444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1057*g + 24*g**2 - 29*g**2 + 17*g**2 + 12*g**2.\nAnswer: 24*g**2 + 1057*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/12 + 2*f**3\/3 + f**2. Let b(m) = 6 - m + 2*m - 8. Give 7*b(g) + 4*c(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 12. Let u = -13 + j. Let i be 2\/(5\/((-10)\/(-4))). What is the third smallest value in i, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 564\/9*6\/4. Suppose -18*j + 842 = -d. Solve 5*r = 18*r + j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 2*d**3 - d**2 + (-d**3 - 4*d**2 + 4*d**2)*(2 - 13 + 7) + 0*d**3 - 2*d**3 - 3*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46361905 and 15.\nAnswer: 139085715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n + 11. Let x be s(0). Let b(f) = f**2 - 9*f - 14. Calculate b(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 27. Let b be a(-8). Solve -d + 0 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 = 4*g. Let l = -90887\/3 + 30311. Factor 80\/3*z**2 + l*z + g - 32\/3*z**3.\nAnswer: -2*(z - 3)*(4*z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let w(o) = -52*o**2 + 24. Give w(g(k)).\nAnswer: -208*k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -22*(-54)\/99 + 45027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1443 and -67\/74.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 16693.\nAnswer: 133544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 10:38 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3089020 and 5912?\nAnswer: 6178040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -39.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 32*c - 93. Determine n(-36).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 8:53 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -209.8122 and 0.3?\nAnswer: 210.1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/9 - 11978*v\/9 - 282040 = 0. Calculate v.\nAnswer: -5769, -220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 35. Let h(i) = 8*i + 104. Let n(c) = 4*h(c) - 11*w(c). Is 3 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 445, 1510, 3583, 7000, 12097, 19210?\nAnswer: 28675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-69)\/(-33) + -2 - 5\/55) + 0. Let s(u) = -2*u**3 + 2*u**2 + 2*u - 31. Calculate s(z).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p = -72*p + 41*p - 6*r - 2*r - 24, -3*p = -2*p - 4*r - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -3. What is the third derivative of -2*l**4 - 2*l**n - l**4 + l**4 + 9*l**2 wrt l?\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -17*g - 22*g - 55. What is the biggest value in -3\/5, g, -1\/4, 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-7)*(j**(-5)*j)\/j*(j**(-1))**(2\/47) assuming j is positive.\nAnswer: j**(139\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -7*l**6\/15 - 9*l**5\/10 + 2*l**4 + 4*l**3\/3 + 110*l. Determine p so that v(p) = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((708\/27)\/(286\/(-1287)))\/(2\/(-1)*1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82292568.\nAnswer: 2, 3, 857, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 14, -0.01, 2, -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -171.5439.\nAnswer: -514.6317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 8372448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/48)\/(8\/(-168))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1806800039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.3, -1, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 10*a - 6*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 12*s**2 + 2*s + 16. Give p(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 = -23. Let t be (-3)\/9 - 7\/k. Let c(r) = 2 + r**t - 2*r**2 + 2 - 5 - r. What is c(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141014, -140999, -140984, -140969, -140954?\n\"Answer: 15*f - 141029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coloo. What is prob of picking 1 c and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4540 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -25*k + 46. Solve -k*s + 5*b + 20 = -s, 4*s = -2*b + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + 6*(sqrt(2057) - (-1 + sqrt(2057))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 5. Let b(w) = 3*w + 5. Let j(d) = -2*b(d) - 5*f(d). Let i = 74 + -63. What is j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1. Let u(r) = -2*r + 7. Let i = -24201 - -24200. Give i*p(q) - u(q).\nAnswer: 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005409989 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12. Let p(y) = 19*y**r + 2*y**2 - 2*y**2. Let f(x) = x. What is f(p(l))?\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 75717.\nAnswer: 151434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a + 17. Let b(n) = -24*n - 30. Let y(p) = 6*b(p) + 11*k(p). Calculate y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.06 - -0.06. What is the nearest to o in 0.3, -4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 6, m: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578416893, -578416895, -578416897, -578416899?\nAnswer: -578416901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1, 0.5, -62\/9, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.00902 - 0.009017439. What is n rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0370294 and -8.3?\nAnswer: -0.30734402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 4. Let p be c(-6). Let r be 114*(-1)\/(-2) - 2. What is the highest common factor of r and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 642 - 576. Let l be (12\/(-63))\/(-1 - (-62)\/f). What is the second biggest value in 0.2, -5, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 0*x**3 + 0*x**3 + (3*x - 3*x - 2*x)*(-2*x**2 - 5*x**2 + 2*x**2).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*a = -773, 5*s - 1566 - 294 = -2*a. What is the least common multiple of 99 and s?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 221\/42, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 3*a**2 + a - a.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37167534?\nAnswer: 2, 3, 19, 108677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/152*(-124925)\/1052?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 7*r + 6. Let y be n(-5). Let s be (-1)\/y + (-30)\/(-8). Calculate the greatest common divisor of 12 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -127721.46, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-45)*3\/9*(-198)\/(-44)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4208 divided by -3\nAnswer: 4208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -263?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Let g = k - 2. What is the closest to 0 in -0.3, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, 2, 0.\nAnswer: -7, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2077, -8437, -19077, -33997, -53197, -76677, -104437?\nAnswer: -136477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 - 47. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 v when four letters picked without replacement from slvvklevsvse.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/40 - (19 + 5)\/(-96).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 5 - (3 + -4 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 3. Let f be p(7). Find the third derivative of 0*x**2 + 3*x**2 - 8*x**f + 5*x**4 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2529 = -279*y - 1912 + 3289 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 18*y**2 + 269*y + 4849. Determine h(-16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 426*x - 431*x + 2 = -0*z, 6*x = -49*z + 465 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/76056 and -19\/96.\nAnswer: 304224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -9\/4 (c) 2.1 (d) 3\/5 (e) 5 (f) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 + g - 1. Let l(j) = -4*j - 4. Let n be l(-3). Suppose 3*d = -4*t + 11, -4*d + t = 3*t - n. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12767, -25502, -38181, -50774, -63251, -75582, -87737, -99686?\nAnswer: -111399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f + 5*j = -1, 3*f = -4*j + 4. Let g(v) = 679*v - 10166. Let o be g(15). Solve f + o = -5*n + u, 5*u = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28597099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676.824 microseconds in seconds?\nAnswer: 0.002676824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2502085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (3 - 2 - (-783)\/(-29)). Solve b*r + 19 + 23 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29186, 29183, 29180, 29177, 29174?\n\"Answer: -3*f + 29189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3099 + 3096. Put 152, -2, -1, c in decreasing order.\nAnswer: 152, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.5, 2.2, -1\/6 in descending order.\nAnswer: 2.2, 0.5, 2\/9, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 887910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*x - 44*x - 29*x + 3)*(-2 - 6*x + 5*x + 3*x) in the form w + i*x + k*x**2 and give i.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, 15, 4, -4 in decreasing order.\nAnswer: 15, 12, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -1723, -5, 3, -21 in increasing order.\nAnswer: -1723, -21, -5, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 5:56 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1725 divide 15489307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*u + 395 - 196 + 173*u - 199.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*b**3 - 7*b + 11*b + 2*b**2 - b to p*b**2 + k*b**3 + l*b + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 714793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.547 + 3.323. Let p = y - 31. Let z = p - 0.17. What is z rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393047034 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**31))\/s**(2\/27))**(-21))**(-3\/19) assuming s is positive.\nAnswer: s**(5845\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1529*c + 7333 wrt c?\nAnswer: 1529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -3\/49 (c) -1497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 - -12)\/((-34)\/4). Let z = 9\/34 + y. Let z*j**2 + 0*j + 0 - 1\/4*j**3 = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (41\/(-4))\/((-963)\/(-40)). Let i = -2\/107 + u. Let o be -1*((-8)\/(-44) + 0). Which is the smallest value? (a) 4 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3588624 divided by -16?\nAnswer: 224289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98633 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 25*d + 80 = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46316 (base 10) in base 16?\nAnswer: b4ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.2 - 0.2. Let q = -19 + 4. Let c = -15 - q. Are c and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5718, 2\/7 in decreasing order.\nAnswer: 5718, 2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 i when three letters picked without replacement from qkqwwkukiq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2832 and 442972?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Let b = -2 - -1. Let d = 1 + b. Solve -2*f + s = -d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*73 - (21 - 22). List the prime factors of 1 - (5 + a) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-90))\/7*(-10)\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*g + 2*b**2*r + b**2 - 2*b*g - 34*b*r + 15*g*r + 347*g wrt r.\nAnswer: 2*b**2 - 34*b + 15*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*n - n. Suppose -10 - 25 = 7*t - 2*m, -3*t = m + 2. Sort 2, t, 1, n in ascending order.\nAnswer: n, t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*h = -3*h - 10, -4*h = 2*a + 8. Let t(g) = -12*g + 3. Let y be t(a). Solve m - y*r = -1 + 16, 0 = m + 2*r + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8*-1*(-10)\/8. Suppose -3*u - 1 = -z. Solve 4*a - j = 18, 3*a - u*j - 16 = -j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155 (base 10) to base 3.\nAnswer: -1120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 48 - 69*q**2 - 54*q + 53*q to z*q**2 + d + g*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 1, w: 1, a: 2}. What is prob of picking 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -9.9. Suppose -5*f - 7 = -2*k + 4, 5*k + 2*f - 42 = 0. Let s be 4\/48*k\/(-6). What is the second smallest value in s, j, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*z + 4*z. Suppose 3*b - 13 = -z. Suppose -b*u = h - 26, -4*u + 2 + 7 = -h. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 898.98 - -6.02. Let y = -866.05 + w. Let o = y + -39. What is the nearest to o in -3\/2, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - k - 44716804*k**3.\nAnswer: -44716804*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194371 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 399*w**2 - 6210*w + 92. Calculate c(-414).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8*-2 + 0)*1. Let a(c) = -c - 6. Let k be a(-5). What is the common denominator of (-58)\/n + (2 - k) and 81\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2413074519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7475 and 0.4348?\nAnswer: 0.759813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 3 + 915*v**2 + 40*v**3 - 1831*v**2 - 3*v + 916*v**2 as h*v**3 + a + s*v + x*v**2 and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 4*l - 1 + l + 3*l**2. Let z(q) = -66*q**3 - 7*q**2 - 8*q - 2. Let n be z(-1). Let s = n + -69. Let c(d) = -d**2. Calculate s*c(r) - h(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824706 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: Calculate the greatest common factor of 87 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -8 + 42. Suppose -4*r = -k - p, r + 5*k + 3 - 1 = 0. What is the remainder when 29 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8 + 44. Let x be 18\/45*(15 - 0) - 0. Calculate the greatest common divisor of x and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5785, 549, 6881, 13211?\n\"Answer: -z**2 + 6337*z - 12121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337768759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 12*j**4 - 207*j**3 - 10395*j**2 + 189924*j = 0.\nAnswer: -119\/4, 0, 19, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from hjhyijwjji?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 25158\/1247 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*o + 3 - 3)*(2 + 2 - 6) + (-5*o - o + 5*o)*(-3 + 0 + 5) to the form b + a*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1728.0711us to hours.\nAnswer: 0.00000048001975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -419 - -434. Suppose b = d + 2*d. Let w = -1 + 3. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(5\/3)*n*n**(-12)*n*(n\/(((n\/(n\/(n\/((n*n\/(n**(-2\/15)*n))\/n))))\/n)\/n)*n)\/(n*n**(-8\/5)))**(-2) assuming n is positive.\nAnswer: n**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdmebbtdbddxxbb. Give prob of picking 1 e and 1 d.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1244831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 39.08. What is the third smallest value in -6\/7, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*a*b**2 - 40*a*b - a*k + 2*a + 3115*b**2*k + 112*k - 4489 wrt k?\nAnswer: -a + 3115*b**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l + 1 = 45*l + 1. Solve 8*j - 261 + 237 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhxejxjjheehjhex. What is prob of picking 1 j and 1 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*o - 20. Let j be ((-24)\/16)\/(6\/o). Suppose -3*l + w = 7, -j*w - w + 7 = -l. Which is the second smallest value? (a) l (b) -0.4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-13))\/((-4)\/((-2)\/(-1)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 - -228. Which is the second smallest value? (a) x (b) 1\/7 (c) 4\/3 (d) 0.006\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)\/(2\/(-4)). Suppose -6 = 2*g - 0*g. Let r be -2 - g\/12*v. Which is the closest to 0.2? (a) r (b) -2\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (468\/(-65) - -6)\/(4\/(-6))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516417.\nAnswer: 3, 11, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986.98652 rounded to one dp?\nAnswer: 2987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-36)\/(-90) + (-21)\/65)\/3?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31176, -31221, -31264, -31305, -31344, -31381, -31416?\n\"Answer: n**2 - 48*n - 31129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 644\/635 or -2\/31?\nAnswer: 644\/635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2733.7 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*t**3 + 2*t - 556?\nAnswer: 54*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 8*k - 2070. Suppose -3*s + 627 = h - 0*h, -2*h + k = 2*s. Suppose 0*y - 3*y = -s. What is the remainder when y is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 164.5? (a) 5\/3 (b) 2 (c) 7\/3 (d) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61268650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 445*r**4 - 2738*r**2?\nAnswer: 10680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:37 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllmglymmgmmmyy. Give prob of sequence mgy.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from {r: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356)*-1)\/((sqrt(12) + (sqrt(12) - sqrt(24)\/sqrt(2)))*-3).\nAnswer: 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)\/x**3)**(4\/5) assuming x is positive.\nAnswer: x**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 + 4*s**4 + 8*s**3 = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - i + 9 = 0, 3*v - 4*i - 1 = -14. Which is the nearest to -0.1? (a) 5 (b) v (c) -2 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = -20. Let g be -5*(x\/20 - -1). Let i = 7 - g. What is the highest common divisor of i and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166*y**3 - y**2 + 1360?\nAnswer: -498*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b**2 + 603*b + 278327 wrt b?\nAnswer: -10*b + 603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 2*g - 1. Let w(j) = 2*j**2 + 13*j + 7. Let d be w(-6). Let y be d\/(-5) + 45\/(-25). Give k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29464 (base 11) in base 6?\nAnswer: 521331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - ((-1 - -5) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/11 (b) -2 (c) 1\/3 (d) -7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-1334)\/(-713))\/((-4)\/2).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.333687kg?\nAnswer: 7333687000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 3*n - 4. Let b be x(-5). Let u be ((-6)\/12)\/((-2)\/b). Suppose 3*w**2 + 9 - u + w**3 = 0. Calculate w.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -217 - 164?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -30. Let b(m) = m**2. Let p(s) = -5*s**2 + 8*s + 7. Let t be 5 + -1 + (-6)\/(-3). Let g(l) = t*b(l) + p(l). What is g(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2)*2\/(-4). Let g(p) = -p**2 - 4. Let w be g(l). Let y = -3.9 + -1.1. Which is the third smallest value? (a) -0.3 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1222)\/188 - 7\/(-1). Is 3178 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*635\/(-1524)*2\/172*12\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a centimeter in millimeters?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-188212.\nAnswer: -18821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*l + 2*c + 12, 0 = 5*l + 4*c - 56. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 - -0.14. Let k = -28.93 - -29. Let h = k - u. Which is the second biggest value? (a) 0.5 (b) 2\/15 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 43*n = -419*n - 4004 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*j**2 - 72*j**3 + 77*j**2.\nAnswer: -72*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/4)*3. Suppose -s - 8 = -4*b + 3*s, 3*s = -c. Suppose b*w - 1 = w. Do -1\/2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/(o\/o**3))\/(o**1\/o)**(2\/23) assuming o is positive.\nAnswer: o**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(6)\/sqrt(3) - (sqrt(2) - (4*(sqrt(4)\/sqrt(2))**2 - sqrt(2)))).\nAnswer: -32 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 414070*i\/13 + 150155428\/13.\nAnswer: -2*(i - 207397)*(i + 362)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11491 = 5*x + 2*w, -4*w = -17*x - w + 39089. Is x >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -810.4 + 823. Let f = 12.2 - c. Let y = -0.4 - -0.28. Sort y, f, 0.2.\nAnswer: f, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 671*b - 334*b - 360*b in the form y + t*b and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 6 - (1 + -12)) + -31 + 33\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1)**(-1\/2))**(-27))**(-1\/17) assuming r is positive.\nAnswer: r**(-27\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40352 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 + 3*i + 1. Let p be d(-2). Let s(y) = -5*y + 2*y - p + 0*y - 4. Is s(-10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 18 = -5*u - 0, -2*u = 5*v - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1045\/2 + -523. What is the nearest to l in 6, -17\/5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:27 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 135, 173, 229, 309, 419, 565?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10684)\/30*3)\/((-36)\/630) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6*c + 720 = c, 0 = -5*u - c + 702. List the prime factors of u.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1688 (b) 1 (c) -2\/346451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 947245*w - 945762.\nAnswer: 947245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 + 3*s + 1. Let t(j) = 135*j**2 + 105*j + 35. Determine -175*g(k) + 5*t(k).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n = -3*f + 15, 3*f = -5*n - 6. Let z be (-3)\/f + 199\/276. Let o = z + 2\/69. Are o and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*s = -14, 2*h - s = -3*s. Is 580\/h*(-2)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4898 = -5*t - 4904. Are 8 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -194. Let x be (-20)\/(-6)*a\/145. Let k = x - -1. Let h(q) = -3*q + 1. Calculate h(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 33*m + 58 = -20, 4*m - 914500 + 914516 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -12. Suppose k*s - 4*s - 2*b = 181, 2*s - 110 = -4*b. Let j = s - 55. What is the nearest to -1 in -4\/3, j, -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 6*m = -36*r + 42, 6 = 4*r - 2*m. Solve 2*p + 4*g - 8 = 0, p + 9*g - 10 = r*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.99, 2\/3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 7880 = 5*w - 7806, -14*t + 458 = -5*w for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d**2 - d. Let v be c(-2). Find the first derivative of 29 - 16 - t + 11*t**v + t wrt t.\nAnswer: 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)*v*v**(-4)\/v)**(-1\/40) assuming v is positive.\nAnswer: v**(7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*(q\/(q**(-2\/9)*q))\/q)\/q)**(-39)*(q\/(q\/(q\/q**(3\/11))))**(-2\/69) assuming q is positive.\nAnswer: q**(-2198\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1796, -1788, -1776, -1760, -1740, -1716?\n\"Answer: 2*y**2 + 2*y - 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6 - 201\/2. Let g be (-6 - 11994)\/((-6)\/t). What is g rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1520602397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.7 in 1\/4, -2, -25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204204 (base 7) to base 4.\nAnswer: -211102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2. Let j be b(-2). Suppose 2*s = 2*a - 3*s + 14, -j = a - 5*s. Let u be 3\/(-1)*(-3 - a). Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and -25?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1396575\/1043 + 1339. Is 0 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or 0.5802?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 739623439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 38*t**3 - 1314*t**2 - 312*t - 88. Let m(p) = -25*p**3 + 876*p**2 + 206*p + 55. Let s(r) = -8*m(r) - 5*o(r). Let s(v) = 0. What is v?\nAnswer: -1\/5, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 + 3*l - 3. Let o(g) = -g**2 + g - 1. Let c(r) = -n(r) + 3*o(r). Let a be c(-2). Suppose a = 5*z - 2*z - 483. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 - 3086278*a**2\/5 - 238127488704*a + 238128105960.\nAnswer: -2*(a - 1)*(a + 771570)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1884596 litres?\nAnswer: 188.4596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 5*q - 1692 = 0. Suppose 0 = -13*p - q + 16. Let h(a) = -45*a + 27. Let n be h(p). Calculate the highest common divisor of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3006 - 24)\/42 + -39 - 152\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (19 - 34) + 23?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 - m**3\/2 + m. Suppose 70 = -93*v + 128*v. Let c(j) = -j + 1. Determine v*c(a) - w(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2826, -2894, -3008, -3168, -3374?\nAnswer: -3626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664205191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3662 = -46. What are the prime factors of k?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.4, -9, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465902745 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.086 - 129.914. Let z = 129.59 + d. Round z to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 5*v**2 - 6*v - 2. Let s(g) = -2*g**3 - 4*g**2 - 5*g - 2. Let w(a) = 7*s(a) - 6*z(a). Determine w(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -1 + 9 + 5 + -19 - (-11 + 42).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*o + 27*o**2 - 111*o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 18*v + 214. Calculate g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000747191 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(1188)*-1 + sqrt(1188))\/(sqrt(72)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*t = -666, 48 = -43*t + 51*t. What is the least common multiple of b and 73?\nAnswer: 16498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1552 + -4. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7363*z - 3893*z - 3510*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6*y - 8. Let c be k(6). Let u be ((-14)\/c)\/7*-4. Do u and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + 49. What is the remainder when f is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*j - 40, -2*a + 16 = 2*j - j. Let q = j - 10. Let m(k) = -k**2 - 7*k - 5. Calculate the least common multiple of m(q) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -91. Suppose m*h + 616 = 20*h. Suppose 5*k - h - 34 = 0. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -34 + 1 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8169, 16338, 24507, 32676?\nAnswer: 40845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exii when four letters picked without replacement from iixetjl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532 divided by -8?\nAnswer: -633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15916436 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -347, -1091, -2537, -4919?\n\"Answer: -39*p**3 - 3*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 + (-110)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 + 1 + 2889*a**2 + 2*a**4 - 2856*a**2 as q + t*a + k*a**2 + n*a**3 + i*a**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5129, 5130, 5131, 5132, 5133?\n\"Answer: d + 5128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -141*f**3 - 21*f**2 - 21. Suppose -1156 = -5*a - 1051. Let c(j) = 28*j**3 + 4*j**2 + 4. Calculate a*c(p) + 4*z(p).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 5*q**2 - 9*q + 21. Let z = -441 + 447. Let l be c(z). Solve -5*v = -m - 24, l*m + 5*v - 12 = 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let t(m) be the first derivative of -110 - 12*m**2 - m**2 + 14*m**2 - 11*m**2. What is c(t(s))?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 3*o**2 - 35100*o**3 + 481886*o**3.\nAnswer: 446786*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162089413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 19722?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/14*714\/(-408). Let q = -5.8 + -0.2. Let v = q + 9. Which is the third biggest value? (a) i (b) v (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*w = -2*k - 9, 5*k - 2*w - 5 = 0. Let d be (3\/15)\/(k\/24). Is 1 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.2. Suppose -3 = -i + 4*i. Sort -0.4, a, i, 4 in increasing order.\nAnswer: i, -0.4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -832*b. Let s(z) = -37*z**2. Give l(s(q)).\nAnswer: 30784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/28)\/(117\/396 + 6\/(-11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1014, -1909, -4330, -9039, -16798?\nAnswer: -28369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-18)*(4 + -2). Sort 11, r, 2\/13.\nAnswer: 2\/13, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 111*p**2 + 2031*p + 66. Determine c(-70).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438726 + -295003. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3717*c - 5995*c = -47838 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 55*z**4 - 22450*z**3 + 1452160*z**2 + 6171360*z = 0.\nAnswer: -4, 0, 86, 3588\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let f = 2 + -5. Let l(d) = -4 + 2 + 0 - 2*d. Give f*i(h) - l(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0*s + 4*s**2 + 6*s - 2*s - 3 + 3*s. Let k(w) = -2*w**2 - 3*w + 1. Give -2*g(a) - 5*k(a).\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**7\/140 - 39*d**6\/10 - 627*d**5\/40 - 157*d**4\/8 - 425*d**2. Factor n(l).\nAnswer: 3*l*(l - 314)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 - -191. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2 + t - 2. Let b be j(2). Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -488 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499 divided by -289281?\nAnswer: 1499\/289281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373012.5 tonnes to kilograms.\nAnswer: 373012500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 16*q**2 - q + 1. Let y(d) = -6*d**3 - 3111*d**2 + 643*d + 5. Let p(l) = -5*x(l) + y(l). What is the second derivative of p(o) wrt o?\nAnswer: -6*o - 6062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z**3 - 3*z**2 - 4*z - 6. Let r(i) = 5*i**3 + 2*i**2 + 2*i + 3. Let k(s) = 2*b(s) + 5*r(s). Determine k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2471741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-150)\/90)\/(5\/(-6)). Let m(s) = -118*s**2 + 230*s**2 - 114*s**r. Let b(h) be the first derivative of 15*h**2\/2 - 1. Calculate m(b(t)).\nAnswer: -450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2*(o\/o**(-4))\/o)**(-2\/7) assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82137860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-1 + -1)*-1. Let n be (0 + 3\/(-3))*5. Let x = w + n. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.00252, 3, -5?\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {n: 9, s: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.39353 minutes in nanoseconds?\nAnswer: 3863611800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-479 + 479 + 107*c)*(2 + 0 - 1)*(1 - 5 + 3) to t*c + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 986211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*i - 3 + 3*i - 4*i + 0*i + (-5*i + i + 3*i)*(1 + 4 - 2) + (-4*i + 3*i - i)*(0 + 0 - 1)*(-8 + 11 + 1) as v + u*i and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:18 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3.7, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -325\/62?\nAnswer: -325\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088729953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/19 (b) 0.15 (c) 1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*z - 1141 + 21 - 284 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -5*j**3\/3 - 5*j**2\/2 + 19. Solve u(s) = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*(8*30\/1280 - 9374\/20640).\nAnswer: 108\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -691\/9. Let m = -1084 - -1086. What is the nearest to 0.1 in -0.3, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o + 155*o**2 - 240 + 122 + 119 - 2*o**2 to r*o + h + y*o**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -184*j**2 + 4. Let k(f) = 21*f**2. Give k(q(l)).\nAnswer: 710976*l**4 - 30912*l**2 + 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1962, -3969, -5976, -7983?\nAnswer: -9990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 227599975 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 14 = y, 0 = 3*g - 0*g + 3*y - 18. Find the second derivative of -2*t**5 - g*t - t**5 + t - t wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Suppose h + 4*v + 3 = 13, -u*h + 10 = v. Suppose 0 = 3*p + 5*q - 90, 38 = h*p + 4*q - 22. Solve -3*z = 3*w - 7 + 1, -5*z + 5*w = p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = -23*c + 4004. Calculate the highest common factor of c and 936.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6752*-6\nAnswer: 28.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34105728643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.5 (c) 2 (d) -331\/13 (e) -4\/3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, l: 1, p: 1, m: 3, f: 1, g: 4}. Give prob of sequence gofm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.96, 23, -2?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u - 15*u + 23*u.\nAnswer: -37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6) + 24\/16. Suppose 15 = y + 2*y. What is the derivative of w*d**3 - 17 - 3*d**3 + y*d**4 + 55 wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198 or 2\/469?\nAnswer: 2\/469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*k - 50 = -92, 45 = x + 4*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*a**4*x - a - 3*x wrt a?\nAnswer: 1452*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(5\/(-2)*-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1875469859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 1)*(-5*z**2 - 6*z**2 - 7*z**2).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-15)*-3)\/((-686208)\/71480))\/((-2)\/(-42)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3 - 2554595*r**2 + 15327597*r - 22991409 = 0.\nAnswer: -2554601, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s + 52. Let x be h(8). Suppose 2*y - 131 - 133 = -t, -x*y = t - 524. List the prime factors of y.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 36840901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1717, -13745, -46421, -110071, -215021?\nAnswer: -371597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 381*p - 544 wrt p?\nAnswer: 381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41040634, 41040643, 41040652, 41040661, 41040670?\nAnswer: 41040679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65, -262, -581, -1010, -1537, -2150?\n\"Answer: 2*j**3 - 73*j**2 + 8*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*z - 5 = z, 5*k + 4*z + 10 = 0. Suppose -4*s = -2 - k. Let w = -67 + 65. Sort w, s, -4\/5 in decreasing order.\nAnswer: s, -4\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {t: 1, j: 1, a: 2, r: 1, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 63488376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*m - 93. Suppose 1418 = 88*w + 63*w + 7307. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafarrfapppfrfrrraf. What is prob of picking 2 f?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-5 + 2 + -3 - (2 - 7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(2\/(-20)). Suppose y*m + b = 35, -5*m + 38 = 3*b + 3. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674652882?\nAnswer: 2, 3, 23, 67, 131, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 + 1 + 2. Let l(m) = 3*m**3 - m**2 - 2*m + 3. Let o(t) = 7*t**3 - t + 1. Calculate the remainder when l(k) is divided by o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -24*g + 225. Let o be z(9). Solve 0 = 4*w - 3*m + o, 3*w - 4*w + 9 = 3*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385 times 3?\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 18 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013596 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 6. Let t(s) = 3*s - 17. Suppose -18*b = b - 57. Suppose -5*c - 39 = 4*g, 0 = -4*g - b*c - c - 36. Give g*t(n) + 17*p(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 87.09372 days?\nAnswer: 7524897408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1254)\/(-495))\/((-10)\/45*12\/(-40)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose 2*r + 8 = -0*r. Sort g, 4, r.\nAnswer: r, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189322253?\nAnswer: 83, 691, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**3 + 13*s + s**2 + 6 - 6*s**3 + 14*s**3. Does 53 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 - 582*r**3 - 15453*r**2 + 16038*r = 0. What is r?\nAnswer: -162, -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60659449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let g(f) = 10370*f**2 + 3*f - 32. Give d(g(c)).\nAnswer: 20740*c**2 + 6*c - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 99*n - 2389. Calculate g(-57).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**2 + 2*c - 8. Let d(k) = 10*k**2 - 4*k + 15. Determine 6*d(t) + 11*y(t).\nAnswer: 5*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, 50, 22 in ascending order.\nAnswer: -3, 0, 1, 22, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 - 0.7. Let d be (-2)\/(-12) + 3 + 38\/(-12). What is the smallest value in d, m, -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -11*a - 20*a + 13*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(567) - sqrt(7)))\/sqrt(6).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82697581801\/21944291010 + -9\/5438486. Let k = -1\/538 - i. Calculate the common denominator of k and -37\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -440211*d**3 + 3*d + 13083.\nAnswer: -2641266*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34101.53 litres to millilitres.\nAnswer: 34101530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -110*b**2 - 4. Let q(l) = -220*l**2 - 7. What is 10*h(i) - 6*q(i)?\nAnswer: 220*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -8a5?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 337 + 311 = 0. Suppose 63*l - g*l = -18. Sort l, -1, -10 in ascending order.\nAnswer: -10, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**9\/1512 + l**7\/140 + l**6\/90 + 5*l**3\/3 - 22*l**2. Let q(z) be the first derivative of d(z). Factor q(c).\nAnswer: -2*c**2*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -3015.368.\nAnswer: -3015.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1235 divided by 247\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**9\/68040 + k**8\/7560 + k**7\/2835 + k**4\/6 + 2*k**3\/3 + 13*k - 2. Let v(h) be the third derivative of a(h). Factor v(l).\nAnswer: 2*l**2*(l + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1283.6 * 36\nAnswer: 46209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. What is the second derivative of -5*n - n - 3*n + 5*n + g*n**2 wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Solve -b + 4 = -i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 1, y: 4, w: 1, i: 2}. Give prob of picking 1 a, 1 y, and 1 i.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103.1 - -103. What is the biggest value in -5, b, 0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3. Let q be z(-1). Let m be 5\/10*-1 - 326. Let n = -327 - m. What is the third smallest value in 5, n, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*z - 19, 5*w - 2*z - 11 = 2*w. Suppose -6 = 3*t, 2*t + 7 - 3 = -w*b. Is b at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 (base 11) in base 9?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.420228 * -5\nAnswer: -2.10114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - (5 - 8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 7 + 1. Suppose o*a + x - 272 = 0, -408 = -3*a - 0*x + x. What is the highest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (8 + 1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:14 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (36603\/(-17))\/(-83).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 30, 71, 164, 327, 578, 935?\n\"Answer: 3*k**3 - k**2 - 11*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 4*a**2 + 3*a**2 - 5*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 91\/8 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, e: 1, d: 8, v: 2}. Give prob of picking 2 d.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 84 - (0 - 15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11744*w - 117437. Let s be g(-10). Factor -46\/17*c**2 - 10\/17*c**s - 24\/17 - 64\/17*c.\nAnswer: -2*(c + 2)**2*(5*c + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 695785.1 decades?\nAnswer: 83494212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1316446 and 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150100*g**3 + 714248*g**2 wrt g.\nAnswer: 900600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Suppose a*y - 11 = 13. Suppose -6*x + y = -2*x. Solve 0 = 2*t - t + x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(-30))**(-1\/84) assuming z is positive.\nAnswer: z**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 1:34 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*w + 6 + 15, 4*w = 5*g - 27. Let k(m) = -11*m**3 - 13*m**2 - 13*m - 13. Let v(q) = 5*q**3 + 6*q**2 + 6*q + 6. Determine w*v(d) - 6*k(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2 - 323*t - 1276 = 0.\nAnswer: -319, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(252)*-1 + sqrt(252) - sqrt(252)) + sqrt(252))*6 + (-4 + sqrt(847) + 2 + sqrt(847) - sqrt(847) - (sqrt(847) + 0)*4))**2.\nAnswer: -660*sqrt(7) + 7723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 330 - 328. Let b be 266\/18 - (-8)\/36. Suppose 0 = 4*m + 3*f + b, 0 = -u*m + 4*m - 2*f - 10. Round m to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8 - ((-170)\/12)\/(-17)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b = 15. Let y be ((-6)\/(-4))\/(b\/(-6)). Let l be (2\/y)\/(1\/6). Is 0 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17325.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6)\/(2\/20). Let c = 8 + s. Suppose 2*o - 2*g - 84 = 0, -c*o + 2*o + 4*g = -30. What is the highest common divisor of o and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 15 = -5. Put 5, y, -1 in increasing order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001111011010110000 (base 2) to base 9.\nAnswer: 3063165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141117248 divided by 464.\nAnswer: 304132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 114476170 to the nearest one million.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14876, 120330, 406572, 963998, 1883004, 3253986?\nAnswer: 5167340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 + 4)*1*1. Let n be 18\/99 - (-134)\/i. Let o be 3\/n + (-953)\/(-4). What is the greatest common divisor of 34 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5970\/58159 + -8\/3061. Let m = -203\/6 - -34. Which is the closest to -0.5? (a) -0.4 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from zxzzxljxzljz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 15*k + 4. Suppose l - 5 = -4, -k*v + 50 = 2*l. Suppose -4*i = -0*s - 5*s - v, 5*i - 15 = 4*s. Solve 0 = -0*m - i*m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051790.\nAnswer: 2, 5, 17, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.3 (b) 66216 (c) 3\/7 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -4dec4?\nAnswer: 4dee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31281 or 31277?\nAnswer: 31281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n**2 - 686*n + 1. Let s(p) = -37*p**2 - 1372*p + 2. What is 3*s(g) - 7*t(g)?\nAnswer: g**2 + 686*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = w - 5*w, q + 4 = 0. Let v(b) = b**2 + 2*b + 8. Let m be v(w). Let n = 11 - m. Solve 9 - n = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-45)\/(162\/18)). Solve a = -20*i + 515 - 395 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:03 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4364.955kg to grams.\nAnswer: 4364955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 24 = -4*b, 3*i + 3*b = 2*i + 12. Suppose -d - 7 = -4*w + 2*w, -w = -d - i. Solve -y + 12 = -w*h, -4*y + 2*h = -14 - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - 0\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380315419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1784843, -3569689, -5354535?\n\"Answer: -1784846*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -46*p**2 + 792*p - 36. Let b be r(17). Solve 62 = -12*j + b for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmdkkmd. Give prob of sequence kkdm.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/(-440) + 1\/8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -37. Let r(d) = -2*d + 4. Let k be r(9). Let c = k + 20. What is the lowest common multiple of c and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5762 divided by -1.\nAnswer: 5762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 16103?\nAnswer: 16108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 225258260*x - 225258256.\nAnswer: -4*(x - 56314564)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 5548987.\nAnswer: 1109797.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - o = -122424, 0 = 147*o - 143*o + 32. What are the prime factors of z?\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119657?\nAnswer: 119657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459030*w + 1459030*w + 0*w**2 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114*l*u**2 + l*u + 2*l - 2*u**2 - 493 wrt u.\nAnswer: 228*l*u + l - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 222?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 20) + 1 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 976090 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((-48)\/36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -340, -134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3)\/g*g\/g**(4\/19))\/(g**(-1)*g**(18\/7)) assuming g is positive.\nAnswer: g**(-503\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7180 - -12219. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 + 361*r**3\/2 - 3643*r**2\/4 - 1442*r + 8724.\nAnswer: (r - 4)**2*(r + 3)*(r + 727)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 48 - (-148155)\/2380) + (-5)\/(20\/9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4900 + -4890. Solve -5*c + i = 21, -t*i = 2*c - 5*i + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 - 3*q**2 + 2 + 6*q - 4*q**2. Let u be f(7). Let w(i) = -i**3 - 6*i**2 - 6*i - 5. Let c be w(u). Is c != 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*70\/112 - 5)*3*2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.5 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2, -2\/5.\nAnswer: -2\/5, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 158556 and -33282632.4?\nAnswer: 33441188.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**3 - 1\/8*n**2 - 2*n + 1\/48*n**4 + 2. Let k(o) be the first derivative of p(o). Let k(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**4 - 378*s**3 - 719*s**2 - 400*s + 5. Let f(d) = -188*d**3 - 360*d**2 - 196*d + 2. Let y(q) = 5*f(q) - 2*u(q). Solve y(o) = 0.\nAnswer: -90, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*y - 5*p, 5*y - 95 = -3*p - 2*p. Suppose -y = w + w + 3*l, 3*w + 2*l = -13. Which is the third smallest value? (a) 54 (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2098194436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**3\/3 + 2*i**2 - 2*i + 2. Let a(m) be the first derivative of o(m). Is a(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + s + 296. Let i(j) = -j - 1. Determine i(u) + z(u).\nAnswer: 2*u**2 + 295","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -12 + 20108\/165 + (-4)\/(-30) is divided by 46?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730 is divided by 138.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*o - 63472 + 540682. Which is the second smallest value? (a) o (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 461*x - 457*x - 24. Solve -x = -5*w - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2382, -9264, -20254, -34962, -52998, -73972, -97494, -123174?\nAnswer: -150622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 2, j: 7}. What is prob of picking 3 j?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phll when four letters picked without replacement from llph?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272408624 is divided by 1095.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 497868 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12) + 7 + 231\/(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412 (base 6) to base 4.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:17 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -15. Let s be (15\/(-12))\/(2\/56). Let q be 5\/2*12\/s. Put q, c, 2 in decreasing order.\nAnswer: 2, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (282\/(-235))\/((-120)\/(-3400)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - -4)*1 + -26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*c - 16 - 0, 5*c + 6*d - 8*d = -17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1657840150 to the nearest 1000000.\nAnswer: 1658000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Solve -y*w - 2*w = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-3 + (-364)\/(-120)). Let v = n - -102. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*v. Suppose 8 = -v*o + 2*o, 0 = -3*m - o + 13. Solve m*k - 2*k = -3*r + 12, -21 = -5*r - 2*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + x)*(-3*x - x + 0*x) + 3*x**2 + 0*x**2 + 0*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2233 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -19 - 41) + 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 652974 and 3626?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5622905 at least -5622900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128\/13 or 9?\nAnswer: 128\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -2 - (-1 + -1). Let n(g) be the second derivative of g**4\/12 + g**3\/2 - g**2\/2 + 356*g. Determine n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 2. Let y be k(7). Let h = 20 - y. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/90)\/(2*(-3)\/6).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = 5. Suppose -164*m = -162*m - 10. Let j(o) = -6*o. Let v be j(-1). Solve -2*h + m*x = 0, -4*h - p*x + 6 = -v*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0959 * -873.14\nAnswer: -83.734126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 306 + 1002 = 0. Suppose -7*k = -57*g + 62*g - 309, -g + 71 = 6*k. What is the remainder when r is divided by g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*q - 14, 0 = 3*q + 15. Let c = j - -12. Does 11 divide -4 + 1 + c\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*k**2 + 2*k - 3\/2.\nAnswer: -(k - 3)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 27*l - 47. Give p(7).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 14*y + 6. Let s be j(13). Suppose 3*k - 2348 = -k + 2*o, -4*o - 1162 = -2*k. What is the greatest common factor of s and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -6. Suppose 2 = -2*s + 3*s. Suppose -s*k + i = -b, -3*k = -2*i - i - 18. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 9*i**2 + 11*i + 10. What is v(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g**2 + 23391*g + 222588?\nAnswer: -12*g + 23391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/2 - 315*t**3\/2 - 158*t**2 = 0. What is t?\nAnswer: -1, 0, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-8))\/((-6)\/(-4)). Let j = -262035 - -262037. What is the second biggest value in m, 27, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -597 + 600. Factor -108 - 78 + m*c**2 - 2*c - 50 - 34*c + 152.\nAnswer: 3*(c - 14)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f = -226 - 320. List the prime factors of (-12)\/112*8 + (-11744)\/f.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112233123101 + 10?\nAnswer: 112233123111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-1)**2 + sqrt(19) + sqrt(19) + sqrt(57)\/sqrt(3) + -5.\nAnswer: 3*sqrt(19) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10962 by -5481.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-4)*-5*(-4)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -6.29. Let x = -0.1 - -6.1. Let f = x - o. Sort f, -4, -4\/5 in ascending order.\nAnswer: -4, -4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/29 (b) -5 (c) 53 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361699124.\nAnswer: 2, 3, 113474927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/140)\/((-1)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6692 or 675?\nAnswer: 6692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87.3 - 370.7. Let u = 457.6 + i. Let s = -13 - -14.2. Which is the fourth smallest value? (a) s (b) -1\/6 (c) u (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -52. Let b be (12\/(-9))\/((u\/3)\/(-2)). Solve 5*a + b*w + 10 = -6, 0 = -a + w + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y = -39. Let p = y + 21. Find the third derivative of -70*k**4 - p*k**2 + 70*k**4 + k**6 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faaafaaaff. Give prob of sequence faf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.53516613 rounded to one dp?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -476, -476, -478, -482, -488?\n\"Answer: -x**2 + 3*x - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2731.\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 - 31 = 0. Suppose -o - y = -33. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-448)*-16)\/((-3)\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 5*i + 2. Let y(d) = d**3 - 42*d**2 + 84*d - 171. Let c be y(40). Let o(f) = -10*f**2 - 26*f - 11. What is c*w(p) - 2*o(p)?\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-3)\/((-18)\/4)). Suppose -z*t = t - 20. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -3.78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, 252.\nAnswer: -2, 0, 2, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2 + k - 13. Let z be u(5). Let w = 295 - z. Which is the nearest to 0.2? (a) w (b) -0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/((-13)\/52).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 35. Let z = 24 + -39. Let y be k(z). Suppose y*b + 40 = 6*b. Calculate the lowest common multiple of 12 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 14 = -7*z. Suppose 4*x = -z*m + 58, 0*x + x - 9 = 2*m. Let n(b) = x - 20 + 6 - b. Give n(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/10)\/(2\/(-4)). What is the third biggest value in 1\/3, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8856 and 656?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19401587 less than or equal to 19401588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 o when four letters picked without replacement from {q: 4, o: 1, g: 2, l: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 - 160. Solve -4*y + 10 = -2, 0 = -r*l - 3*y - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 40110 = -29453. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose b = m - 2*g + 1, 5*m - 2*g + 41 - 4 = 0. Let n = 16 + m. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let g be o + 2 - 2 - 0. Solve -g*s = -0*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - -19. What is the second derivative of 40*b - i*b**2 - 2*b + 34*b wrt b?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2316*22\nAnswer: 5.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(((-604236)\/46840)\/(12\/5))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -6832, -1.906?\nAnswer: -6832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1\/r**10*(r*r**0)**(-50) assuming r is positive.\nAnswer: r**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h**2*v**2 - 1513*h**2*v + 10*h**2 + h*v**2 + 1219*h*v + 5*v**2 - 12*v - 1 wrt h?\nAnswer: 28*v**2 - 3026*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - -11. Suppose 4*w + 5*s + t = 0, -5*w + 0 = s + 5. Let r = 33 - 33. Is r less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 598.52023 to the nearest integer.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05899825 + 0.059. Round f to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168)*2*-5)\/(sqrt(32) + sqrt(96)\/(sqrt(15)\/sqrt(5)))*-4.\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 260 + -481\/2. Let t = -2 - 12. Calculate the common denominator of (18\/(-14))\/(t\/42) and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 16*r. Let z(g) = 14*g**2 + 47*g - 1. Let o(q) = -17*x(q) + 6*z(q). What is the units digit of o(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**7\/42 - m**6\/30 + 10*m**4\/3 - 535*m**3 - 1319*m. What is the second derivative of x(g) wrt g?\nAnswer: -20*g**3 - 12*g**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -294*z + 835. What are the prime factors of h(-14)?\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-3)\/5 - 10\/(-1750)*5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(2\/5)\/x))\/x*x**(1\/6))\/((x*x**2*x)\/x**(1\/6)))**11 assuming x is positive.\nAnswer: x**(-506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -31*m**4 + 2*m**3 - 36*m**2 + 2*m. Let u(q) = 63*q**4 - 5*q**3 + 73*q**2 - 5*q. Let k(p) = -5*o(p) - 2*u(p). Find the third derivative of k(w) wrt w.\nAnswer: 696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586052 rounded to the nearest 1000?\nAnswer: 586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from gmwmuwmuusu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 7*q**2 - 5*q - 5. Let b be x(-7). Find f such that -424*f**2 - 4*f**5 - 135 - 212*f**3 - 384*f - 48*f**4 - 23 + b = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66585.74 minutes to microseconds.\nAnswer: 3995144400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6589144.\nAnswer: 2, 823643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(9 - 13)*(3 + 3\/(-6))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 11.81, 2\/5, -13 in ascending order.\nAnswer: -13, -2\/21, 2\/5, 11.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -41?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -2\/35, 4\/3, -0.03, -2\/5, -7.85?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*b**2 - 134 - 170*b**2 - 137 + 273 to the form x*b + i + l*b**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**5 + 16*b**5 - 7*b**5 + 15*b wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/2329? (a) 0.5 (b) 5394 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.094 - 2.054. Let n = 0.04 - m. Is n equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 2*o - x, 5*x - 59 + 259 = 5*o. What is the remainder when 5718 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78787*n**3 - 485809?\nAnswer: -236361*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.038 (b) 0.05 (c) 0 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000042678 rounded to 7 decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41322 - -2050?\nAnswer: 43412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 1892*c + 2330*c - 1678*c + 19380*c)*(-1 + 4*c**2 - 6*c**2 + 3) to the form j*c**2 + r*c**4 + d + f*c**3 + m*c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1449 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00778 - -2.12478. Let b = 0.117 - h. What is the smallest value in b, 0.7, -0.7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44105528 by 8.\nAnswer: -5513191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 18. Let p = u + 16.07. Which is the second smallest value? (a) p (b) 3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6614 is divided by 2202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + sqrt(13) + 1)*1)**2 + 6*sqrt(65)\/sqrt(5))*-6.\nAnswer: -318 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148973018?\nAnswer: 2, 167, 251, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, -4, 0.2, 0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5 + 3 + n - 9 + 10 - 2. Let p be 6*(-1)\/(-2) - -3. Let u(d) = d**3 - 5*d**2 - 5*d - 1. Let q be u(p). Give f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*u - 2*c + 11, -2*c = u. Let y = 2 - u. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 + 4. Let w be f(0). Suppose 5*o + 4*g - 100 = 0, -5*o + 3*g + 29 = -106. Solve 3*y - 4*y + 5*s - o = 0, -5*s = -w*y - 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*x + 3, -3*x + 4*v + 0*v = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2591 - -2609. Suppose 3*y = -5*m + 84, 3*y - 12 = -m + 84. Let u(l) = -15 + y - l - d. Let p(o) = 19*o**2. Calculate p(u(z)).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*2*(-3)\/12. Let g = 207 + -203. Solve 0 = -5*j + c - 17, g*p = 2*j + 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 18153.\nAnswer: 8\/6051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6956 - 6953. Which is the biggest value? (a) 189\/5 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2809990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*f**4 - 100*f**4 + 271 - 2*f**3 + 3*f - 6*f + 197*f**4 to the form z*f**4 + g + m*f**3 + k*f**2 + b*f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 2 b when four letters picked without replacement from mmbabbmmmmmmmmba.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 616\/129 - -24\/43. Factor -o - 24*b - 14\/3*b**3 - 20*b**2.\nAnswer: -2*(b + 2)**2*(7*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*t**4 - 2*t**3 + 11591*t**2 - 11591*t**2 - t in the form y*t**3 + a*t + m + k*t**4 + z*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c*k**4*u - 241*c*k**3 - 2*c*k**2*u**2 - 14*c*k**2*u + 20*c*k*u + k**4*u**2 - 4*k**2 - 2*k wrt k?\nAnswer: 264*c*k*u - 1446*c + 24*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121020200 - 10?\nAnswer: 121020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f + 5*f - f - 9*f as u*f + y and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 60908, 60847, 60742, 60587, 60376, 60103?\n\"Answer: -m**3 - 16*m**2 - 6*m + 60931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101001111 (base 2) in base 16?\nAnswer: d4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74260544.\nAnswer: 2, 929, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1\/4*f**4 - f**3 - f + 3\/2*f**2 - 3. Determine z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbbqqqqbbbv. Give prob of sequence qv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2 - 8*h**2 - 2*h - 3 + 3*h**3 - 4*h**3 + h. Is s(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4199 is divided by 114.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 + 359*v**4 + 10*v**2 + 1306*v - 436 wrt v?\nAnswer: -40*v**3 + 4308*v**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + 28 + -62 - -14.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 43 = 5*t, -y - 4*t + 25 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from llsylklklkkllll.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l = -92*l + 5*w + 52, 2*l = w + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*f + 18 = -6, 18 = 3*v - 2*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1098)\/(-8052))\/(-2*15\/(-8))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2 - 5*l + 8. Let u be r(-6). Solve 2*k = -5*a - 7 - 20, 2*a + u*k = -12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1165*t**2 + 15*t - 310. Let f be h(13). What is f rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-42)*40\/(-25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m - 13416 = -207*m. Calculate the highest common factor of m and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + -22 + 3222\/144 + -9.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 7260*s - 36337. Determine g(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*i - 83941 = 23*i + 644342. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:06 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 165749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*f - 10 + 39 = 0, 5*f - 25 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1457451 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 0.8. Let d be (-4 + 42\/10)\/((-6)\/(-45)). Which is the nearest to -0.2? (a) -5 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 890*m**3*n - 34558*m**3 + 12*m**2*n + 266331*m*n - 2*n wrt m?\nAnswer: 5340*n - 207348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1267, -4225, -12225, -27787, -53431, -91677, -145045?\n\"Answer: -420*j**3 - j**2 - 15*j - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6\/u**(-1\/12)*u\/u**(-2\/23)*u**(1\/2)*(u**(1\/2))**36\/(u**(-2\/7))**48 assuming u is positive.\nAnswer: u**(76091\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**3 - 8*d**2 - 11*d - 17. Let s(a) = -13*a**3 + 14*a**2 + 21*a + 33. Let t(y) = -15*m(y) - 8*s(y). Let w = -39 + 46. Calculate t(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-102)*(9 - (12 - 6)). Let d be 4\/15*1*-3. Let n = 31\/21 + -8\/7. Put d, n, t in decreasing order.\nAnswer: n, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846585685.\nAnswer: 5, 11, 15392467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y**3 + 17\/2*y**2 + 7\/2*y**4 + 0 - 11\/4*y - 1\/4*y**5 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8890 is divided by 8874?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -27*h + 29. Let f(p) = -p - 1. Let i(n) = 6*f(n) + t(n). Is i(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 + 83. Which is smaller: -23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91\/1182 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 548.2 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38069108 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-13) - 30710\/7800. Let a = -37\/30 - l. Find the common denominator of 121\/24 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5377, 10755, 16137, 21523, 26913, 32307?\nAnswer: 37705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -38154 (c) -2 (d) 80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378858.\nAnswer: 2, 3, 233, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 + 2*l**2 - 2*l + 9. Let n(t) = -7*t**3 - 3*t**2 + 5*t - 17. Let p(o) = -4*n(o) - 9*r(o). What is the tens digit of p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + 18 + (-33 - (-12 - -4)) + -2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 17 - 11 - 5*z**2 - 16 + 80*z as v*z + i + d*z**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8837887 times -37?\nAnswer: -327001819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 2*n + 4 = 11*f, 5*f + 4*n = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 1, 2, -7 in increasing order.\nAnswer: -12, -7, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = l - 4*m, 16*l + 5*m + 45 = 10*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1476.19181 to zero decimal places.\nAnswer: -1476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*q - 71*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3752283 to the nearest integer?\nAnswer: 1937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 123*t - 832. Calculate c(12).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 20351328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2041 + 3160. Let p = -1118.98623 + q. What is p rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**8\/10080 - f**6\/1080 + f**4\/12 + 3*f**2. Let j(y) be the second derivative of z(y). Factor j(g).\nAnswer: 2*g*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*-1*sqrt(931) - (sqrt(931) + 0 + 4)**2*-4.\nAnswer: 196*sqrt(19) + 3789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -79714 * -317\nAnswer: 25269338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(12\/4 + -1). Let q(y) = -5*y + 10 - 6*y + y**2 + d*y. Let t be q(7). Solve -3*v - 2*n = -4*n - 2, 7 = t*v - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 2*w. Let c be q(-2). Let x(f) = c*f + f - 1 - f + f. Let d(j) = 4*j - 4. Give -d(u) + 6*x(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7249624\/3143 + -16146\/7. Let p = 16234\/3143 - q. What is the common denominator of -77\/15 and p?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 10\/2)*1. Let x be s - (1 + (-1 - -2)). Find the third derivative of -9*w**4 - 3*w**5 - 2*w**2 + x*w**4 + 4*w**4 wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 2, u: 1, h: 3, c: 1}. What is prob of picking 2 k, 1 x, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*-223583\nAnswer: -380091.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 350633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 15*w**2 - 5231*w + 46571. Calculate d(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 460*g**2*i**3*n**3 + 4*g**2*i**2*n + 2*g**2 + g*i**3*n**3 - 20*g*i**2*n**3 + 2*i**2*n wrt i.\nAnswer: 2760*g**2*n**3 + 6*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnwb when four letters picked without replacement from bnwnwwnwbnwnnbwnwn.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2158710, 4317426, 6476142, 8634858, 10793574?\nAnswer: 12952290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(110))\/sqrt(10))**2 + (-1 + sqrt(275)*2)**2.\nAnswer: -20*sqrt(11) + 1142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/2 + 88261*h - 353052 = 0. What is h?\nAnswer: -176526, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 4*q - 10. Let x be 4\/22 - 136\/22. Let c be m(x). Suppose -24 + 62 = c*t. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 91 - j - 54 + j + 2*j. Is u(15) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 - 18*b - 8. What is the remainder when 158 is divided by l(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/125*80\/24)\/((-6)\/225).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(2736)*-1 + -5)*-1)**2 + 5.\nAnswer: 720*sqrt(19) + 98526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q + 23880 - 136922 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 11*o + 10*o + (4 - 7 - 17)*(-4*o + 4*o + o) as l*o + p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73577137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -1\/6*q**4 - q + 0 + 0*q**3 + 0*q**2. Let u(o) = 3*o - 3*o - 3*o. Calculate r(u(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -16*t + 52. Calculate i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 1, n: 5, o: 1, a: 2, m: 1}. What is prob of picking 1 l and 1 n?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c + 80. Calculate j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10051 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20044 (base 5) in base 10?\nAnswer: -1274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -917.2094 - -916. Let f = 1.19 + x. Round f to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 14 + 7 = -4*i, 2*h - 3 = 3*i. Sort -4, 7, 47, 0, h in increasing order.\nAnswer: -4, h, 0, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/14)\/((-4)\/(-40)). Calculate the highest common divisor of o and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39892, -80625, -121358, -162091?\n\"Answer: -40733*m + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 5:54 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -32*n - 3911. Let h be x(-133). Sort 1\/6, 0.2, h in decreasing order.\nAnswer: h, 0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.927 * 4.\nAnswer: 7.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*v**3 + 2613*v**2 + 22593*v + 18330 = 0 for v.\nAnswer: -13\/2, -10\/11, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3 - 4520*y**2 - 59755*y + 137550 = 0. What is y?\nAnswer: -15, 2, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 11*t = -39*t + 306 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11320013 (base 4) to base 9.\nAnswer: 36015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 7 - (1\/4 + (-89)\/4). What is the greatest common divisor of 1496 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14113, 28139, 42123, 56065, 69965, 83823, 97639?\n\"Answer: -21*d**2 + 14089*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + (5 - 4))*1\/(-1). Suppose 7*s - x*s = 0. Suppose 0*q + 2 = -q. Do q and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 39. Suppose 0 = b*z + 2*z - 88. Suppose -z - 167 = -3*r. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65120278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 11788 = -0*p. Suppose 0 = -151*o + 150*o + p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-12))\/((-35)\/12))\/((-4)\/(-154)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -2402?\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 5*g + 4. Let k(s) be the first derivative of -2*s**3\/3 + 11*s**2\/2 + 7*s + 738. Calculate -4*k(t) + 9*p(t).\nAnswer: -t**2 + t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 9 = -6*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-8)*(-2 - 8\/(-96)*26).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/23)*b)\/(b**(-9\/4)\/b))\/(b**(-6))**11 assuming b is positive.\nAnswer: b**(6459\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-2)\/(-24)*(-6*2)\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 94 (b) 0.5 (c) 2\/11 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*w = -4, 1034*k - 1020*k = 3*w - 40 - 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572344.\nAnswer: 2, 601, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28987 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10908 and 18?\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 + ((0 - 12) + 18 - -14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(2256\/128)*(-18)\/(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d*d**0)\/d)*d**(-5\/6)\/d*d**(-7)*(d*(d\/(d*(d\/(d*d**(-2\/9)))\/d))\/d*d*d)\/d)**(-8) assuming d is positive.\nAnswer: d**(508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304)*2 - sqrt(2304))\/(-6*sqrt(18)\/sqrt(2)))\/((sqrt(2) - -3*sqrt(2)*2) + sqrt(2) + 2*sqrt(2)*2).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -791, -1694, -3155, -5336, -8399, -12506?\nAnswer: -17819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8978746224.\nAnswer: 2, 3, 7, 197, 135647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16514 = 3*y + l, 5*y - 18914 = 2*l + 8613. List the prime factors of y.\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -58.9289 to one decimal place.\nAnswer: -58.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 290. Let w = -164 - x. Let o(z) = -z**3 + z**2 + 3*z - 3. Give o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (1 + sqrt(76) + 0) - -2*sqrt(76)*-1 - -6*(4 + -2*(sqrt(76) + 0)))**2.\nAnswer: -1288*sqrt(19) + 15425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34191\/5 + -104716\/15. Let a = 143 + m. Suppose -8 - 16 - 16 = 8*o. Put a, 1, o in ascending order.\nAnswer: o, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4211 and 72.\nAnswer: 303192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5532 (base 6) to base 11.\nAnswer: a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 294*d - 291*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let r = -101 - -44. Let p = r + 115\/2. What is the nearest to p in 0.2, m, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111.5459 and 22.\nAnswer: 2454.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165011*g**2*w - 1125076*g**2 + g + 507*w - 12 wrt w?\nAnswer: -165011*g**2 + 507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 65 - 31951\/(-359)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9921993*v**2. Let p(t) = 13*t. What is c(p(m))?\nAnswer: 1676816817*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7.8. Let m = 1.5 - 1.4. What is the closest to m in i, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -809095876*h*n**3*t*v + 10*h*v + 2*h + 2*n**3*v + 2*n**2*v + 11*n**2 + 2*n*t*v + 29982*v wrt t?\nAnswer: -809095876*h*n**3*v + 2*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + -7 + -1 + 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376 and 362981.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-48))\/((-1)\/(-3)). Which is the closest to s? (a) -0.4 (b) 0.2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(16\/6)*4)\/(234\/156).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 24373.\nAnswer: -9749.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/4, 0.6075, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 530039970.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-45)\/18 - 3\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83, -63, -43, -23, -3, 17?\n\"Answer: 20*y - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2512 + -1.3412. Which is the smallest value? (a) v (b) 0 (c) 16 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.245 + -2184797.\nAnswer: -2184796.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-12))\/(3\/4). Find the third derivative of -m**5 + m**5 - m**i + 5*m**2 + m**5 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d979 (base 14) to base 5\nAnswer: -2200133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3164*v + 6321*v - 3158*v.\nAnswer: -v + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -71*u**2 + 126*u + 169. Differentiate q(f) with respect to f.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 88 = -47. Let j = -16 - -49. Let g = j + i. Solve -15 = -g*c + 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225858473\/510 + -442860. Find the common denominator of t and 151\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 7*l - l)*((-2*l + 3*l - 2*l)*(2*l + 0 + 0) - 2*l**2 + 3*l**2 - 2*l**2).\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 585 + 741 = 0. Let r be p\/130 - (-2)\/5. Is -3 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = -25 - 29. Let x be 9\/189*a*3\/(-3). Factor -x*y**2 + 36\/7*y - 162\/7.\nAnswer: -2*(y - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 147*w - 4*w**4 - 143*w)*(1 + 0 + 3).\nAnswer: -20*w**4 + 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) 4 (d) 43\/7 (e) -5.06 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 48 = -42*t. Let r(f) be the third derivative of -f**6\/60 + f**5\/60 - f**4\/24 - f**3\/3 - f**2. Give r(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/3 + 4544*o**2\/3 - 2205682*o\/3 + 2201140\/3 = 0.\nAnswer: 1, 701, 1570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Suppose -z = -l - l. Let h(s) = -s + l*s - 3*s. Let j(g) = -3*g**2. What is j(h(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + 0.14. What is the closest to -1 in 0.5, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -13*s - 33. Let a(k) = 3*k + 8. Let d(r) = -9*a(r) - 2*n(r). Let m be d(-6). Factor -1\/4*y**3 + 0 + m*y + 1\/4*y**2.\nAnswer: -y**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2511623 + -4?\nAnswer: -2511627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 13 - 1133 = 0. Suppose -4 = 4*t - 308. Suppose -4*j = 5*k - 148, -3*k + 5*j + t = j. Calculate the greatest common factor of a and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6675569491 to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1875284*t**3 - 9756351?\nAnswer: -5625852*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -60. Let w be v*7\/((-35)\/(-3)). Solve 0 = -x - 5*j + 16 - 0, -w*x - j - 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2814362*h**6 - 7*h**2 - 20777 wrt h.\nAnswer: -337723440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 22*o**2 + 110*o - 1505. Calculate u(-17).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 2*k - 3*k + (4*k - k - 2*k)*(6 + 0 - 3).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*4666094\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(359\/8975)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, 5, -1, -4, -1\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*2)\/sqrt(3) + sqrt(38))\/(-5*sqrt(4)\/sqrt(2) + sqrt(2))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j - 10*l + 11*l, -l = -4*j + 10. Let f(a) = -a**2 + 0 - 2*a**2 + 4*a - 1. Give f(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*n**3*p + a**3*n**2*p**2 - 16*a**2*n**2*p**2 + a*n*p**2 - a + n**3*p**2 wrt n?\nAnswer: -12*a**3*p + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 - -17) - -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**5\/5 - 67*u**2 + 250*u + 200. Differentiate q(t) with respect to t.\nAnswer: 8*t**3 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005034 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/30 - 212\/(-159)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 + 7*o)*(-2*o - o + 1001 - 997 + 4*o - 3*o - 2*o + (1 + 0 + 0)*(o - 3*o - o)).\nAnswer: -49*o**2 + 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1132, -6\/7, -135, 0?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026345008 plus -9?\nAnswer: -1026345017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 116?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 4*n. What is the remainder when ((-19)\/n)\/((-4)\/(-12)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.17? (a) 2\/3 (b) -32 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 21616?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197149081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -61*x + 11. Let u be w(-3). Suppose i - 34 + u = 5*d, -13 = -d + 4*i. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -129*((-28900)\/(-255))\/(-170)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 4)\/2)\/(161\/(-1610)) + 44\/5?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(68)\/(sqrt(2) - (sqrt(2) + sqrt(8))))\/(sqrt(2) + -3*sqrt(18)).\nAnswer: -4 + sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 + 1135\/11. Let h = -96746\/15 + 6452. Calculate the common denominator of x and h.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k - 31. Suppose 1626 = 849*i - 1770. Let q(d) = -d + 6. Calculate i*p(l) + 22*q(l).\nAnswer: -2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*b - 2, -3*p + b - 8 = 6*b. Let r = p + 6. Solve -3*f + 26 = -r*i - 5*i, -3*f + 2*i = -14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39562 and 755?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcmm when four letters picked without replacement from {c: 2, m: 2, k: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-4) - 2\/(-4). Let d = 729581\/4 + -182395. Put 0.2, d, y in descending order.\nAnswer: y, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11298 and 185073.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 0 = i*w + d - 11, -2*d + 12 = 2. Suppose -2*p + w*p = 11. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 15*j = -4*f - 12, -2*j + 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65582 and 484.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/5)\/m**(-8)*(m\/(m*m**1*m))**31 assuming m is positive.\nAnswer: m**(-266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(780\/5)*106*-2.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5)*((k\/((k**(-5\/2)*k)\/k*k))\/k)\/k*k*k*k)\/(k*k*k**(-1\/2)*k)**(-30) assuming k is positive.\nAnswer: k**(779\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3029*q**6 - 34*q**5 + 38*q**3 - 11324*q**2 - 14511?\nAnswer: -363480*q**3 - 2040*q**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/6 - 2*v**2 + v. Let s(c) = 3*c**3 + 70*c**2 + 12*c - 255. Let j be s(-23). What is x(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.96. Let r = -5.04 - n. Let w = -2.5 - 0.5. Which is the second biggest value? (a) -0.3 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14109 divided by -3.\nAnswer: -4703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*x + 18787 = 2*l, x = 2. Let r = l - 3212. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2183 - 1213. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1174284 and 2882.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 478503 (base 10) to base 14\nAnswer: c654b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by (-300)\/(-14) + (-99)\/231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.499452 seconds to milliseconds.\nAnswer: 5499.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0094 - -0.0094. What is the third biggest value in r, -2, 0.09, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (2 - (8 - 0 - 31)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r*r*r\/((r**17*r*r)\/r))\/r)\/r)\/r**4)\/(r**(4\/5)*r)**(-2\/27) assuming r is positive.\nAnswer: r**(-298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/(-175))\/((-2)\/38).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -1 + -1 + (-6 - -11) + -17?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662819 + 0.3719646?\nAnswer: 662819.3719646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -w - 0*w. Which is greater: w or 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 3*r**2 - 3*r + 8*r**2 + 6*r in the form z*r**2 + b + c*r and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onyy when four letters picked without replacement from syynoeejney.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417842.8ml to litres.\nAnswer: 417.8428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 83815959 = 14915988. Suppose 24*b = -6606747 - g. What is b rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 4*w. Let x be t(-3). Suppose -5*b - 12 = 4*z, 2*b + 0*z + x = -z. Sort b, -3, -5.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 f when four letters picked without replacement from {f: 4, z: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 773201 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 592902 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -410, -1039, -1872, -2909, -4150, -5595, -7244?\n\"Answer: -102*q**2 - 323*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426067?\nAnswer: 53, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -759, -3031, -6819, -12123, -18943, -27279, -37131?\n\"Answer: -758*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 23*q + 30. Let b(v) = -116*v - 150. Let s(f) = -2*b(f) - 11*c(f). Let n be s(-28). Is (n\/(-4) + 1)\/((-5)\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268217446 to the power of 1\/2, to the nearest integer?\nAnswer: 16377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 167088533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = h + 14, 2*h + 3363 - 3343 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0233 + -0.1797. Let d = b - -0.1816. What is d rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, j: 5, p: 3, r: 1}. What is prob of picking 1 p and 1 j?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:50 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = -16*v - 343 + 1 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 720\/165 + 4\/(-11). Sort i, 1, -1, 5 in descending order.\nAnswer: 5, i, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 372200 and 18.\nAnswer: 3349800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*h - 912, -4*i + h + 912 = 5*h. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 54 = 0, -b = 5*p - 30 + 19 - 32 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309197 (base 10) in base 16?\nAnswer: 4b7cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-100)\/12 + 3)*(-36)\/24. Let m be 6\/(14\/4 + -2). Suppose r = -0*f + m*f. Solve -f*d = -d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(112) + 3 + 4*(sqrt(21)\/sqrt(108))**2 + -3.\nAnswer: -12*sqrt(7) + 25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 76*q + 996. Let f be r(-11). Calculate the highest common factor of 105 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36249885 and 315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 50. Let u(c) = -c + 51. Give -6*n(q) + 5*u(q).\nAnswer: q - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -49823 (base 14) in base 9?\nAnswer: -303764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37726103 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*t**2 - 16*t + 11*t - 6933*t**2 + 5*t.\nAnswer: -7313*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + ((-4)\/(-1) - -1). Suppose -o*r + 4 = -8. Suppose r*f - 2*f = 26. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93619384 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/232242025 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = -7. What is the tens digit of 38 - (-7)\/((-7)\/w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 17\/2. Suppose r - 4*g - 7 = 27, -62 = -3*r + 4*g. Sort r, -1\/4, f in decreasing order.\nAnswer: r, f, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/97)*w**(-2\/35)*w\/(w*(w\/((w\/(w\/(w*(w**(15\/7)*w)\/w)*w*w))\/w))\/w*w)*w\/w**(-17) assuming w is positive.\nAnswer: w**(58076\/3395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276680 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -22)\/((-14)\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -310*s - 314*s + 625*s + 2. Determine j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = 4*s, 2*r + s = -4*s + 5. Suppose 4*w + 3*p - 41 = r, 4*p - 5 = -2*w + 23. What is the remainder when 37 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29\/9, -47, -1\/10, 5 in decreasing order.\nAnswer: 5, -1\/10, -29\/9, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 79*b**5\/5 - b**4\/4 + 4*b**3\/3 + 71*b**2 - 2275. What is the third derivative of q(g) wrt g?\nAnswer: 1896*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6)*(1 + -9 - (-1320)\/396). Let s(r) = r**2 - 11*r + 5. Determine s(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1259\/2494 + -6\/1247. Which is the third smallest value? (a) l (b) -2\/1055 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*n - 4*x = 5, 5*x = 4*n - 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571 divided by -8.\nAnswer: -571\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -1) + 2*-1. Let z be (y - 0) + -7 + -1. Let v(d) = d**2 + 5*d + 2. Let s be v(z). Calculate the highest common factor of 64 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5281 - -5377. Which is smaller: 771\/8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 7 + 45*c**3 + 7*c - 17 - 69*c in the form t*c + n*c**2 + i*c**3 + y and give t.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15486548, 15486547, 15486546, 15486545?\n\"Answer: -o + 15486549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Suppose -4*l + 2*j = -14, 0 = -3*l - l - 5*j - 21. Let y(n) = 3*n. Let g(z) = l*y(z) + 5*d(z). Let q(t) = -2*t. Determine q(g(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81000763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*o + 35 = 0, -1330*o = -2*j - 1324*o - 60 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 1, q: 1, f: 1}. What is prob of sequence fd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 15*r - 27. Let i be a(12). Let l be ((-15)\/i)\/5 + 3\/9. Solve -5*y = -6*k + k + 5, l = -4*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 0 - (-32 - -32) - (-2 - 4)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/152*6*16\/12*-1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.9. Let h(b) = b**2 - 3*b - 2. Let x be h(2). Let n be 21\/27*(-4)\/(-14). Sort x, k, n in decreasing order.\nAnswer: n, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -4\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4957414820.7 and 7516?\nAnswer: 4957422336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4277, -7921, -11565, -15209, -18853?\n\"Answer: -3644*c - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (-2 + sqrt(2736) - sqrt(2736))*-5*-3)**2.\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (-1 + sqrt(171) + 5)) + (sqrt(171) - ((sqrt(171) + 2)**2 + 4)))*1.\nAnswer: -183 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-372 + 359 + (-324)\/(-25))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.06, -0.53?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3668.19 decades to years.\nAnswer: 36681.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Let d be 12\/9 - (-4)\/n. Suppose -3*r = 3*z + 6, d - 4 = 5*r + 3*z. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94772465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(1\/(2 - 5)). Suppose -3*i + n = -i. Solve 19 = z - i*b, 2*z + 0*b = -2*b - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -281 + 457. Suppose 0 = -61*n + 53*n + c. Let d(z) = -2*z - 7. Let y be d(-6). Solve y*s = n + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - a)*(175 - 88 - 107*a - 89).\nAnswer: -107*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 15\/(-1) + 48 + -6. Solve -10 = w + 4*g - 3*g, -4*w = 3*g + q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 690 and 59537064?\nAnswer: 297685320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.4, -1.2, 0?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + 3*(sqrt(350) - (sqrt(350) - (sqrt(350) + -2*sqrt(350) + sqrt(350)))))*-2)\/((-1*sqrt(84))\/sqrt(12) - 1*3*sqrt(7)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2. Let g(b) = -20598000*b**2. What is g(f(r))?\nAnswer: -185382000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25629 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 21. Calculate the greatest common factor of 112 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8*y - 11*y - 2*y)*(-1 + 5 - 1).\nAnswer: -15*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46801135 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = y + 17, 453*l - 450*l - 19 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 231222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466427.\nAnswer: 3, 167, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lflllvhvflflv. Give prob of picking 1 h, 1 l, and 2 f.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:37 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1512896, 1512865, 1512786, 1512635, 1512388, 1512021?\n\"Answer: -4*f**3 - 3*f + 1512903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgaagagagacaaamggga. Give prob of sequence mg.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 1211 = -13*i. Suppose -w - 249 - 98 = -2*m, 0 = -3*m + 3*w + 516. Are i and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 11*y**2 - 4 + 10 - 1.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178321 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 - -409. What are the prime factors of m?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.5, 1\/3, -16, 0.2, 765?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 14. Let q be k(6). Calculate the least common multiple of (-6 + -1)*q\/4 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 4*t**2 + 59305 - 59305.\nAnswer: -4*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 32 + -15 - (5 + 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 1. Let a(n) = -2*n**2 + 4*n - 1. Let c(h) = -a(h) + b(h). Factor c(j).\nAnswer: 2*j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298677338 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (6 + 3))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 14598010.\nAnswer: -14598009.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -434, -908, -1404, -1934, -2510, -3144?\n\"Answer: -2*s**3 + s**2 - 463*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 2*b + 3*b)*(1 - 48 + 191)*(-b + 4 - 4) to the form z*b**2 + t + k*b and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.65 - -4.65. What is the nearest to k in 0.5, 4, -0.01, 0.07?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 7*c + 7. Let n be l(6). What is the remainder when (1 - -65) + (n - 4) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 14*y - 12*y + 4, -3*q - 4*y - 2 = 0. Let u = 1642 - 557. Let m = u + -11947\/11. Is m < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.482535 milligrams?\nAnswer: 0.006482535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.347 and -1556804.\nAnswer: 540210.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 4:52 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 8088385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 7*f - 2*f - 12*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*t + 23*t - 26*t + 5 with respect to t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - 79 - 9*y**2 + 79.\nAnswer: -9*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 5*t + 85. Is 4 a factor of y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*o**3 - 9538*g**3*o - 5*g**3 - 4*g**2 - 366*g*o**3 + 17*o**3 wrt g.\nAnswer: -6*o**3 - 57228*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1471 - 10?\nAnswer: -1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*m**2 + 189*m**2 + 109*m**2 + 111*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-1 - 3 + 2)*(6*z**2 - 2*z**2 - 3*z**2 - 6*z**2 - z**2 + 5*z**2 + (-3*z + 7*z - 2*z)*(z - 2*z + 0*z) + 4*z**2 + 4*z - 4*z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 + 400\/180. Suppose -4*b = -x + 39, x - 15 = -0*x - d*b. Suppose -f = -5*i - x, 0 = -2*f + f - i + 53. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*o. Let v be 2\/(-2) - (-6)\/o. Let n = 2 + -2. Solve n = 4*f + 3*j + 11, 3*j + 17 = -v*f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.13106 years?\nAnswer: 1.013106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/4147 and -16\/5655.\nAnswer: 62205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1528 - 1528.0779. Let m = -3.0779 - r. What is the second smallest value in m, 1, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100022233001 (base 4) in base 16?\nAnswer: 40abc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*w + 5*w = 1227, 3*h + w - 1233 = 0. Let y = 463 - h. What is the remainder when y is divided by (-1)\/(2\/(-30)) - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 5. Suppose -u*z + 4 = -291. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b0c (base 15) to base 8\nAnswer: 22025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -5. Let k = 8.0000015 + o. What is k rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*d - 5*r + 2*r, -3*r = 2*d - 24. What is the remainder when d is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -1645.\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.359822 centuries to millennia.\nAnswer: 0.7359822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -647*o - 2 + 640*o + 3. Let z(s) = -3*s. Determine 4*n(p) - 9*z(p).\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 23*c - 24. Let z be x(-1). Suppose -g + h - 547 = -1719, h = -z. What are the prime factors of g?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77893 by 618.\nAnswer: 77893\/618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 960065, 960081, 960097, 960113, 960129, 960145?\nAnswer: 960161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 551689.8424 to the nearest one thousand.\nAnswer: 552000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flvfifhlffvffflflfv. What is prob of picking 1 h and 1 i?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 8*q**3.\nAnswer: 4*q**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2587 (b) 23.1 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1\/96, -85.3, 1\/2, -1\/7 in increasing order.\nAnswer: -85.3, -9, -1\/7, 1\/96, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 - 19 = 5*k, -4*k = 2*z. Let g be 1*((2 - 2) + z). Let d = -103 + 104. Which is the biggest value? (a) d (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/2 + k**4\/2 + 10*k**3.\nAnswer: -k**3*(k - 5)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1860 and 1470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60750*s + 15196*s + 15168*s + 15190*s + 15195*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1834\/5 - 16696\/45. Find the common denominator of 99\/8 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80621*b**2 - 13*b - 2868516 with respect to b.\nAnswer: 161242*b - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 89844*x - 359440.\nAnswer: 4*(x - 4)*(x + 22465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.77946 rounded to 1 decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 101 - 105 - 2*h - 5*h + 22*h**2 - 24*h**2. Let s = 12 + -8. Suppose l + 5*o = -s, 2*l + 5*o + 7 = -1. Calculate r(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -24, 3, 1, -310 in descending order.\nAnswer: 11, 3, 1, -24, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4623094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/3 + 5384*f**4\/9 - 428942*f**3\/9 + 138796*f**2\/9 + 284768*f\/9 = 0. What is f?\nAnswer: -2\/3, 0, 1, 88, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10093333?\nAnswer: 521, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 = 5*f - 5*p, 24 = 5*f + 3*p. Suppose -5*w = -h - 7, w + 6 = f*h - 1. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-40)\/240)\/(1\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 13*d**2 - 3*d - 19. Let b = 79 - 157. Let a be (-6)\/9*b\/(-4). What is the units digit of k(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/11))**0*(l\/(l*(l*l*l**16)\/l))\/l*(l**19\/l)\/l assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tttttvtvvvtttttttt?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*q**2 + 1098*q**2 - 640*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(15\/(-3) + 4). Let l = -25 + 15. Let a = l + k. Let t(y) = y**2 + 6*y - 3. Calculate t(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 55. Let j be 1026\/15 - (-8)\/x. Suppose 4*o = 3*c + 2*o - 52, j = 4*c - 4*o. What is c rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02834*-0.31.\nAnswer: -0.0087854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 37. Let o = 10 - h. Which is the closest to 0? (a) -2\/7 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - 10. What is c(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 2*w - 5. Let g(y) = 1. Let j(t) = 4*g(t) + u(t). Factor j(z).\nAnswer: -(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 29*w - 82 + 34 = -4*u, 3*w - u = -23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3969 or -4532?\nAnswer: -3969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*n + 1 = 0, -2*h - 4*n - 7 = h. Suppose 0 = -g - h*w + 97, 0*g + 3*g - 303 = 3*w. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 7:29 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40039059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*((f + 0 + 0)*(-f + f + 2*f**2) - 2*f + 2*f - f**3).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17470.\nAnswer: 2, 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3648.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 2. Let k be (-10)\/(-9) - 0*i\/(-20). Let l be 0\/((-2)\/(2*1)). Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 36 = 4*i, 11*y = 55*i + 15*y - 157 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 - -132. What is the remainder when 330*(-4 + 39\/9) is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15816 - x**3 - 32057 + 16241.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/124 and 43\/168?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83.0047 - -83. What is r rounded to four dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**8\/20160 - r**6\/2160 - r**4\/4 - r. Let i(j) be the third derivative of m(j). Factor i(b).\nAnswer: b*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 21. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1199)\/2*(4 + -9 + 1). Is u less than or equal to 2395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**3 - 61*x**2 + 110*x - 62. Let k(a) = -a**3 - 3*a**2 + 2. Let v(y) = -22*k(y) + 2*q(y). Determine s, given that v(s) = 0.\nAnswer: 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usuimsk. What is prob of picking 1 s, 2 u, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 19 = b. Sort 0, -2, b, -13, 23 in descending order.\nAnswer: 23, b, 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -20*d. Let w(i) = 2*i**2 + 4*i + 2. Let p(b) = 23*b**2 + 9*b + 6. Let o(y) = -p(y) + 3*w(y). Give o(z(v)).\nAnswer: -6800*v**2 - 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -7*m + 4*m - 3, 0 = -i + m + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6444)\/(-21) - (14 - 1089\/77) is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557745 - 747175 + 137927 = -281*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/14)\/((-6)\/8). Let s be 1 + d*(-20)\/(-8). Let h(b) = b - 7. What is h(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8415414 divided by 6\nAnswer: -1402569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 7. Is -4 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -130147849*k. Let g(s) = -s**2. Calculate z(g(r)).\nAnswer: 130147849*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.61 + -0.39. What is the third smallest value in -1\/6, 8, s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 46 = -5*q + 52, -2*a - 157 = 3*q. Let p = 218 + a. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -14.6. Let f = -0.14 + 0.2. Let v = 1.06 - f. Sort q, v, -5 in decreasing order.\nAnswer: v, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/21 - 4848*b**2\/7 - 10626498*b\/7 - 736273188 = 0. Calculate b.\nAnswer: -921, 9114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/5, -0.1, 8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/21 (b) 3\/7 (c) 2 (d) -0.018 (e) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -8*b**2 - 58*b + 456 = 0.\nAnswer: -12, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let x(o) be the first derivative of o**2\/2 - 4. Calculate x(n(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1195684?\nAnswer: -3587052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20832)\/(-20)*1250\/2. Round j to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/3 and -28\/227.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -24. Differentiate -5*i**4 + 3 + 2 - 15*i**3 + 15*i**g wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173417621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5916*6.\nAnswer: -35496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4235) + (sqrt(4235) - (sqrt(4235) - sqrt(4235)*-1))))\/(sqrt(45)*-1*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = 3*v - 1, -3*v = 0. Let l be (u - -4) + -2 + 1. Let t be (-16)\/(-10) + 2\/l. Let z(r) = -r**2 - 4*r + 3. Calculate z(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 824317800 divided by -13738630.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-25) - (-1026)\/10. Let i = -83 + o. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 632 and 0.07567.\nAnswer: 47.82344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) -0.2 (c) 1.151 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2021, 2026, 2043, 2078, 2137, 2226, 2351?\nAnswer: 2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258720 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1205 and 50851.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 574 and 410.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 25 - 4. Calculate the remainder when 51 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u - 2*u - 3*u)*(0*u + 3*u - 5*u) + 784*u - 24*u**2 - 784*u to the form w*u + h*u**2 + d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 + 2*s - 11. Determine g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152\/1054685 or 0?\nAnswer: -152\/1054685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Determine k(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -875113*d**2 - 1396525*d wrt d?\nAnswer: -1750226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 3773290.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (12\/(-2) + 3). Determine b, given that 5*b**4 - 13*b**3 - l*b + 0 + 9*b**2 - 2 + 4*b = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31826, 31749, 31572, 31289, 30894, 30381, 29744?\n\"Answer: -g**3 - 44*g**2 + 62*g + 31809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/63)\/((-12)\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - 5*u**2 + u**2)*(1623*u + 19 - 2*u**2 + 56 - 1613*u) to the form i + v*u**2 + z*u**4 + b*u**3 + a*u and give v.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -412 - -399. What is the third smallest value in -0.061, -3\/4, u?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (3 + -4 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1972835 or -7891341\/4?\nAnswer: -7891341\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -318, -264, -154, 30, 306?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 21 - 16 - 3*i - 8. Let z be f(-3). Solve 5*q + 5*m = -10, q + 3*m = -z*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -129*l**2 - 8*l + 143. Let s(h) = -42*h**2 - 3*h + 48. Let p(z) = 3*k(z) - 8*s(z). What is the first derivative of p(w) wrt w?\nAnswer: -102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - x**3 + (-3*x**2 - x**2 + 3*x**2)*(517*x + 56 - 515*x - 76) in the form y*x**3 + w + m*x + o*x**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 220\/28570657 or 0?\nAnswer: 220\/28570657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = -4. Suppose -j*f = -f - 3, -19 = -4*q + f. Solve 0 = q*l - 3*h + 6, 3*h - 3 = l + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (104\/16)\/13 + (-12)\/((-96)\/314620)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277 + -132. Let h be 1\/4 + 8530\/(-60). Let n = h + d. Find the common denominator of n and -3\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5526 or -5528?\nAnswer: -5526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 - 2*y)*(1 + 1 - 3)*(-6*y + 0*y - 21*y).\nAnswer: -54*y**2 + 54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c**2 - 39*c + 1330. What is the remainder when p(0) is divided by 657?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 15*b**4\/4 - 5*b**2 + 7. What is the second derivative of s(w) wrt w?\nAnswer: 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 8. Suppose p = -2*q + 15, -q + t*p = -0*q. Suppose 3*l - 84 = -l. What is the remainder when l is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0634 - -32963.191?\nAnswer: 32963.2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-9.644.\nAnswer: -192.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 190518.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 985 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4002875 or -4002858?\nAnswer: -4002858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-284)\/(-781) - 25\/99.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -13, 440, -2, -1\/4, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -16. Let z = 10 - y. Find the common denominator of -87\/14 and (-2)\/z + 3033\/540.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from puwubjuujuuupuwuupuu?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*h**3 - 3*h**2 - 35*h + 13?\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3939?\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 1394*b**3 + 172449*b**2 - 5992576*b + 25825280.\nAnswer: (b - 1261)*(b - 64)**2*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 21*d - 837. Let a be p(45). Solve 72*x = a*x - 144 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**24*a*a**(7\/3)\/a)\/(a**(-14))**(2\/13) assuming a is positive.\nAnswer: a**(1150\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*t - 73*t**3 - 61*t)*(-4*t**2 + 2*t**2 - t**2).\nAnswer: 219*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 23*b - 236 = 0. Let q = b + 158. What is the remainder when q is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1389 = 3*r + 3*o, 0 = -3*r + 4*o - 2*o + 1364. Let x = r - 407. Calculate the remainder when x is divided by 2 + -1 + (-12)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/10 and 56\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 2.6. Let j = 9 - 5.5. Let a = j - 0.5. What is the closest to 0.1 in a, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3866 by 45.\nAnswer: -3866\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 0.5, -6, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 11*m + 69 = 326, 2*z + 7*m = -0*z + 2*z - 161 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/3 - 5*r**2 - 10*r. Differentiate k(n) wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(980))\/(2*sqrt(90) + sqrt(90)) - (-5 + sqrt(18)\/sqrt(9) + sqrt(2) + 2*sqrt(12)\/sqrt(6)))**2.\nAnswer: -500*sqrt(2)\/9 + 7025\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - fd?\nAnswer: -fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 6\/217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*((2 + 0 - 3)*(c + 2*c - 2*c) - 38*c + 32*c + 53*c) + (-5 + 1 + 2)*(2*c + c - 2*c).\nAnswer: -94*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let c be 12\/5 - 2\/5. Let h(t) = -4*t - 2. Let p = 2 - 5. Let d(q) = -5*q - 3. Let u(m) = c*d(m) + p*h(m). What is v(u(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 509190 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-116805)\/(-18) - (-1 + 42\/36)?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212022211 (base 3) to base 4.\nAnswer: 10021231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5 = 2*l - 23, -5*l - 3*m + 13 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2470 and -169\/90.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 2 - 3) + 46. Let w = s - 28. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1851*v**3 + v**2 - 34290*v wrt v.\nAnswer: 11106*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 33*m + 2. Let w be b(7). Suppose -3*x + w = -2*x. What is the greatest common divisor of x and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256603 is divided by 63989.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13184\/1920 - (-2)\/((-4)\/14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 12. Put -4, 0, t in increasing order.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15640)\/(-2346)*36\/(-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 + 239*r + 2265. What is k(-15)?\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let o = 21306 + -21253. Which is the third biggest value? (a) o (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10598498.\nAnswer: 2, 1409, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:43 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10230122 (base 5) to base 8.\nAnswer: 250417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-17)\/((-102)\/(-90)). Let n(v) = -v + 7. What is n(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l - 46. Let d be c(5). What is the third derivative of 6*b**2 + 0*b**2 - b**6 + d*b + 3*b**2 + b**2 - 50*b**4 + 4*b**2 wrt b?\nAnswer: -120*b**3 - 1200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 2*g**2 + 220 - 220.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-9) + 1*2. Let o = 2.47 - 2.97. Let w = 633 + -633.2. What is the closest to x in w, o, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -40*b - 22. Let r be a(-12). Suppose 0 = -14*h + r + 46. Calculate the remainder when 63 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3503 (base 10) to base 16.\nAnswer: daf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r, 3*u - 665 = -2*r + 175. Let y = 284 - u. Suppose 4*w - 4*q - 24 = 0, 2*q = -w + 6*q + 9. Solve -y*s + w*i - i = 36, -i = 4*s + 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549419 and 507.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c**3 + 3 + 3*c - 9*c**3 + 4*c + 15*c**2. Let i(w) = 7*w**3 + 45*w**2 + 22*w + 8. Let n(q) = 3*i(q) - 8*j(q). Factor n(v).\nAnswer: 5*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5808)*-2 + -5 + sqrt(48)*2)**2.\nAnswer: 800*sqrt(3) + 19225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 1. Let x(o) = 49*o**3 - 4. What is -6*d(h) + 2*x(h)?\nAnswer: 86*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - (-112)\/(-588). Put 0, -377, d in ascending order.\nAnswer: -377, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/948 and -151\/38208.\nAnswer: 3018432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1316 divided by -103508\nAnswer: 329\/25877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74339\/7 in 1, -2\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 + -12 + 19 + -12 + -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Suppose 2*l = 3*c - 5, -3*l - 3 = -4*c + 4. Let a be o(c). What is the third biggest value in -2, -2\/5, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240813, -240923, -241023, -241113, -241193?\nAnswer: -241263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 3. Let q be o(0). Let s = -26 - -14. Let w = q - s. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42761744.\nAnswer: 2, 1447, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/21))**39 assuming a is positive.\nAnswer: a**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952.55 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-10)\/(-15)). Let p be 63\/36 + u\/4. Which is the nearest to 7? (a) 2\/13 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11691.8 decades?\nAnswer: 1403016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40995 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -1, -24575?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 10. Suppose 2*a = g*a - 28. Suppose -a*f + 1511 = -277. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/14553 and 53\/16632?\nAnswer: 116424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m + 8 + m**2 - 5*m - 2 - 2*m to the form c + t*m + s*m**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h**2 - 13662*h - 20*h**2 - 16*h**2 - 16*h**2 + 13662*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9519*m**2 - 5*m + 2. Let g be d(1). Suppose 7*l = 2111 + g. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34438051033565 from -0.1.\nAnswer: -34438051033565.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 2, 3, -4 in descending order.\nAnswer: 3, 2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6904320 divided by 10\nAnswer: -690432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 + -141. Let x(w) = -w**3 + 4*w**2 - w + 13. Let c be x(m). Sort c, 0.2, -2.\nAnswer: -2, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8210435?\nAnswer: 5, 991, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/7 - 6*x + 704\/7 = 0.\nAnswer: -32, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/4*(-190)\/285*2\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.4, -1.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 34 + 87 = z, -41 = -z - 2*c. Suppose b + 3*b = 0. Suppose b = 6*l - l - 55. What is the highest common divisor of l and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 26*x**3 - 12*x**3 - 14*x**2 - 5 - 23*x**3 - x**4 + 60*x**3 as s*x**4 + t + a*x**2 + i*x + c*x**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603616535 to the nearest integer?\nAnswer: 24569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*150\/(-225).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -4d40?\nAnswer: -4d3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. What is the second biggest value in m, 4, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.5, -4, 667?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6060309 divided by -263.\nAnswer: -23043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**3 - 368*u**2 - 28*u**4 + 90*u**3 + 93*u**3 + u**3 + 426*u - 180 + 2*u**5 - 31*u**3 = 0. What is u?\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000193292504 rounded to 7 dps?\nAnswer: -0.0001933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*a - 2*u, -7 = -4*a + 3*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 118\/15 + ((-20)\/(-35))\/((-20)\/280). Which is the fifth smallest value? (a) -4 (b) 56 (c) o (d) 5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(40\/(-276))*1. Suppose 0 = -30*p + 53*p - m. Solve 7*l = p*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(10\/(-15)*(39\/(-6) - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 5, -0.4, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*d - 233*d - 352 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/36, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, 5\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17634, 34693, 51178, 67089?\n\"Answer: -287*d**2 + 17920*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*n + 57 = 9, 5*z - 66 = 3*n. Suppose -13 = 9119*s - 9120*s. Solve -s*q - z = -18*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 + 31 + -9 + -20 - 42?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 931663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126928*t - 2 + 2 + 126936*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -344*n**2 - 341*n + 227. Calculate p(-5).\nAnswer: -6668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/780 - a**5\/65 - 5*a**4\/156 + 4*a**3\/13 - 11*a**2\/2 - 2*a - 81. Let u(v) be the first derivative of j(v). Factor u(b).\nAnswer: -2*(b - 1)*(b + 3)*(b + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 m, and 1 b when four letters picked without replacement from bkbbbmbbmkbmskmkmmk?\nAnswer: 175\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -11. Let r = 6 - 5. Put r, c, -5 in ascending order.\nAnswer: c, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -483 - -436. Let h = y - -87. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.05 - -1.4. Let s = d + 0.05. Let r = -12 + 11.9. Which is the second smallest value? (a) r (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -40?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -1, 14, 29, 44?\n\"Answer: 15*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676 - 5*z + 678 - 1354.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5764*v*y**2 - 159299445*v + 37737*y**4 wrt y.\nAnswer: 11528*v*y + 150948*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68441 or 68440?\nAnswer: 68441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.6665436 and -3573908?\nAnswer: 3573922.6665436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 405.4113s?\nAnswer: 405411300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -62*i + 67*i, -4*x = i - 28. Suppose -6*n + 32 = -3*n - 4*b, -26 = -2*n + 5*b. Calculate the lowest common multiple of x and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826265573.\nAnswer: 7, 118037939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(288)\/(sqrt(12) - sqrt(12)*2))\/sqrt(8) - (2 + sqrt(147) + sqrt(147) + -4 + sqrt(147)*1 + sqrt(147))**2.\nAnswer: -2356 + 115*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10125840 to the nearest ten thousand.\nAnswer: -10130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h - 7. Let r be f(2). What is the first derivative of j**2 + 4*j**4 - j**2 - r wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, 0, -7, -4 in decreasing order.\nAnswer: 20, 0, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6*p = 12. Solve p*x = -5*j - 2*x - 32, 0 = 5*j - 3*x + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -10*r - 6*r. Suppose 0 = 298*d - 295*d + r. Are 1\/66 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.622 times -20.4\nAnswer: 12.6888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 2, q: 1, a: 4, e: 3, l: 1}. Give prob of sequence eha.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:48 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405) + -2*-2*sqrt(405))**2 + -1*(((-2 + sqrt(405))*-5 - sqrt(405)) + sqrt(405))**2.\nAnswer: -96 + 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78903*w**3 + 2*w**2 - 1885*w + 50 wrt w?\nAnswer: -473418*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 - -20762651\nAnswer: 20762650.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {x: 5, p: 8, m: 3, f: 3, d: 1}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkkxxxxkkk. What is prob of sequence kkkx?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprssrsrslsxsrs. Give prob of sequence psl.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18, -1\/3, -11, 4, 1469\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*v + w + 24, 3*w = -2*v - 8. Suppose -9 = -v*m - m. Solve 13 = -2*j + 3*r, -j - m*r = -0*j + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -19 + (0 + -2 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - w. Suppose w*g = 2*g + f + 1, g = 2*f + 7. Let t = -695 - -696. What is the least common multiple of t and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 * -61\nAnswer: 3355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -898.4 + 1383.68. Round a to the nearest integer.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -56 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87546 (base 9) in base 5?\nAnswer: 3324123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 41.9. Let p = k - 36. What is the nearest to -2\/9 in 1\/7, -4\/5, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 18323.2?\nAnswer: -73292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.629 - 2.029. What is the third biggest value in -2, b, 8, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 39 - (1 + -1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 360 = -7*y. Calculate the greatest common factor of y and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d - 16. Let t be 3\/(9\/(-3)) - 2. Put -2, t, d in decreasing order.\nAnswer: -2, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3085821, 6171640, 9257459, 12343278?\nAnswer: 15429097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226115 or -226116?\nAnswer: -226116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6))**(-31)\/(s\/(s**(8\/7)*s*s))**23 assuming s is positive.\nAnswer: s**(1647\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1073 + -1016. Suppose 0*l = 3*l - 411. Let j = l - r. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-6 + 10) - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c - 83*c + 21 = 3*t, 0 = -3*t - 5*c + 31 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386 and 3.\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 110, 164, 218, 272?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001174 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 5. Suppose -n*l = -2*l - 21. Let z(d) = -d**3 + 18*d**2 - 17*d + 7. Calculate the lowest common multiple of z(17) and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213495.6 centuries to decades.\nAnswer: 2134956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1401371 + 1401371 - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -6)*(116\/(-174))\/(1*2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -4. Let s = 104 + -104.5. Sort -1, -7, v, s in ascending order.\nAnswer: -7, v, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r**2 + 3*r + 15. Give z(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11535 is divided by 1051.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-16))\/(83\/105045464) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 11:34 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.153618 rounded to two dps?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a = 140172 + 9138. Is -2132 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 + 5*z**2 - 3*z. Let q(r) = 2*r**3 - 2*r**2 + r. Let t = -70 + 65. Calculate t*q(f) - 2*i(f).\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 22150*i - 490622500.\nAnswer: -(i + 44300)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3))\/(g\/(g*g**(-1\/4)*g)))\/((g**(-2\/3)*g)\/g)**(-17))\/((g**1)**(-38))**(-34) assuming g is positive.\nAnswer: g**(-15655\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 7. Let u be y(-8). Let b be 3\/(0 + 1\/u). Suppose -v = b*v - 48. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*(16740\/(-3968))\/(-15).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37301089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -19*m - 54 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17445 - -1465405\/84. Let d be -5 - ((-116)\/48 + 0 + -2). Let c = s + d. What is the third smallest value in c, 0, -5, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(2\/47)))**(-16)\/(q**(2\/39)*(q*q*q**(2\/109)*q)\/q) assuming q is positive.\nAnswer: q**(-549538\/199797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20642231 + -355?\nAnswer: 20641543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367749, 368029, 368789, 370269, 372709, 376349?\nAnswer: 381429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 505*m**2 + 1705*m + 570.\nAnswer: 5*(m + 3)*(101*m + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -16. Suppose -4*h - q = -70. Let k = -28 + 35. What is the remainder when h is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -59\/20*n**5 - 41\/6*n**3 + 1 + 0*n**2 + 0*n**4 - 3*n. Find the second derivative of q(l) wrt l.\nAnswer: -354*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 6*v - 1. What is y(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.1 + 63. Let f = 22 - 14. Let l = 7.7 - f. What is the nearest to y in -1, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78786.55 seconds to milliseconds.\nAnswer: 78786550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b4190 - -4ab?\nAnswer: b465b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x + 58. Let q(a) = -12*a - 58. Let l(v) = -5*q(v) - 4*y(v). Let d be l(-7). Solve -2*f - 3*r = -16, d*f = 6*f + 2*r - 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*q - 68 = -0*q, 2*h - q - 65 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -58*v + 23. Let n be h(-3). Suppose -4*w = -2*x - 2415 - n, -5*x - 1290 = -2*w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1717621 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40191 and 375116?\nAnswer: 1125348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(2091\/2618) - 56?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-27) + (-12)\/54. Suppose v = -4*x - 4, 64 = -f + 8*x - 4*x. Let i = 74 + f. Let k(z) = z - 10. Calculate k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-9)\/m*m\/m**(2\/13)*m)\/(m\/(m*m*m\/(m*m**(-12\/11))*m)*m*((m\/(m*m**(2\/9)))\/m)\/m*m))**(-22\/9) assuming m is positive.\nAnswer: m**(12460\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*y - 3, 0 = 5*t + 4*y - 8*y - 4. Solve t*w = -w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34118*z + 34423*z + 2440 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0*r**2 + 0 + 4*r - 4\/3*r**3. Let v(s) = -s**2. What is a(v(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/2057 in 3, -2, -4, 0.5, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((15\/4)\/(-3))\/((-14)\/56). Let b(s) be the second derivative of 2*s + 0*s**2 + 0*s**4 + 3\/20*s**f + 0 + s**3. Find the second derivative of b(c) wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:29 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 470, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -2\/21, 0.5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-131)\/(-12)) + 7 - (-1385291)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1269696 divided by -39678\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**2*w**3 + 26*f**2*w**2 + f**2*w + 39*f**2 + f*w**3 + 44316*f*w**2 wrt f.\nAnswer: 10*w**3 + 52*w**2 + 2*w + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -526082 * -1.\nAnswer: 526082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65547 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5121112 - -2?\nAnswer: 5121114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:33 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 391 + 851 = 0. Calculate the highest common factor of 138 and q.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 756.9 + -756.9. What is the nearest to -1 in 0.6, h, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640777.6 weeks in days?\nAnswer: 4485443.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s. Let a(y) = 13*y - 5*y - 5*y - 3*y - 17*y**2. Calculate a(z(f)).\nAnswer: -425*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 5*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1287*h - 106*h + 487*h - 1165*h.\nAnswer: -2071*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 - 2 = 0. Let s be (g + 3)*(-10)\/(-5). Solve -5*y - 14 = 5*o - 54, s*o = y + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + ((sqrt(1152) - -2*sqrt(1152))*2 - sqrt(1152)))\/(sqrt(726) - (-6*(sqrt(726)*-1 + sqrt(726)) + sqrt(726) + sqrt(726)) - sqrt(726)).\nAnswer: -24*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*5*1 + sqrt(84) + 2*sqrt(84)*-5 + sqrt(84) + sqrt(84) + sqrt(84))\/(6*4*(3*sqrt(1200) - sqrt(1200))).\nAnswer: -sqrt(7)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-24 - -20 - -28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 4*f**2 - 2 + 4*f**2.\nAnswer: -4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -1 (b) -4 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29478456 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*c + 18*c - 5100 = 17*c. What is the least common multiple of c and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 754 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**8\/1176 + f**6\/420 + 17*f**2. Factor t(b).\nAnswer: -2*b**3*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, 0.4, -1, 0.01 in descending order.\nAnswer: 0.4, 0.01, -1, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 289? (a) 6 (b) -2\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404785 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/311766 and 43\/2457.\nAnswer: 2805894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 394*2 - (6\/(-8))\/((-54)\/144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29448, -29441, -29460, -29517, -29624?\n\"Answer: -2*o**3 - o**2 + 24*o - 29469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1712 divided by -8.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 2*u - 3*u)*(4*u + 27*u - 6*u) in the form c*u + j + q*u**2 and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -2\/19, -2\/1295 in increasing order.\nAnswer: -0.15, -2\/19, -2\/1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(63)\/(sqrt(1296) + (sqrt(1296)*1 - sqrt(1296))) - ((sqrt(7)*-4)**2 + -2)*1)*3 + 0).\nAnswer: -sqrt(7)\/2 + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 0*w. Suppose 2*v + w = 12. Solve 0 = -3*n + v*o - 8, n = 6*o - o + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/876253 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (7 - 9) - -1*4. Is 1\/10 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/20 - s**3\/6 - s**2 + 3*s. Let h be 1\/(-5) + (-7)\/(-35). What is o(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by (186 + -63)*(-3)\/((-18)\/4).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -2\/21*h**7 + 6*h - 1\/8*h**4 + 13\/6*h**3 - 11*h**2 + 1\/40*h**6 + 0 + 0*h**5. Find the second derivative of p(i) wrt i.\nAnswer: -240*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1900*x + 78796. Determine j(-41).\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b - 20 + 20)*(0 - b**3 - b**2 + 0) to the form h*b + m*b**4 + c*b**3 + l + v*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010625803 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**34\/w)*w*w**(-10\/9)*w assuming w is positive.\nAnswer: w**(-280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*j = -45, -28*k = -j + 47043 - 47188 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -29*a**3 - 1. Determine f(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - -1 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 1. Let d(r) = -56*r - 45. Let p(t) = d(t) - 6*j(t). What is the first derivative of p(w) wrt w?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39466 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 11*z**4\/2 + 1020. Let d(t) = 88*t**3. Give 22*c(v) - 6*d(v).\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96223290.\nAnswer: 2, 3, 5, 3207443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32988*q + 32902*q + 2924 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173851573 is divided by 363?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 35136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.149643 + 178.739357. Let w = 179 - k. Let s = 0.011 - w. Which is the fourth biggest value? (a) s (b) 2 (c) -0.3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 332 - 422. Let x = -22 - j. What is the greatest common factor of 612 and x?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -488 - -508. Solve 8*w + k = -20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 - 8708 = -14*g - 2089. Which is bigger: g or 2085\/4?\nAnswer: 2085\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -903*j - 1050. Determine n(-1).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -33.1. Which is the closest to f? (a) 1 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 - -46. Let h = -68 - i. Let w = h + -68.000041. What is w rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {o: 1, a: 4, r: 1, s: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*z)*(-4 + 3 + 3)*(0 - 3 + 1 + (-1 - 1 + 1)*(1 + 3 - 5) - 2 + 0 + 4 + 3 + 4 - 5 + 2 - 3 + 2 + (0 - 1 - 1)*(1 - 1 + 2) - 2 - 1 + 1 - 3 + 1 + 3).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**4 - 2*o**4 + 7*o**4)*(-5 - 6 - 16)*(-2 + 5 + 2) to the form t*o**4 + l + c*o**3 + m*o + b*o**2 and give t.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033322 plus 2.68973?\nAnswer: 2.723052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*q + 5645 - 1793 + 7206 = -420*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -208 in 15, -24, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:31 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 1. Let d(y) = -284*y**2 + 1. What is d(g(o))?\nAnswer: -7100*o**2 - 2840*o - 283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 41740, -55 in decreasing order.\nAnswer: 41740, 2, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**2 + 11*v - 20. Let s be i(-8). Suppose 0 = -5*y + 7*y + p - 292, 5*y + p - s = 0. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12*6\/4. Suppose -2*i + 8 + 0 = 0. Let r = -5.7 - -6. Which is the nearest to -0.1? (a) i (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 2:51 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -1330593?\nAnswer: 1330593.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 5*s**2 - 2*s. Let d be v(4). Let j = -13 + d. Let i(z) = -8*z + 5. Let g(y) = -y + 1. Give j*g(a) + i(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2021360 or 2021362?\nAnswer: 2021360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t**5 + 14*t**2 + 1033*t wrt t?\nAnswer: 160*t**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1725\/647, 1, -0.1.\nAnswer: -1725\/647, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58653379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0081058 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/438 and 17\/336.\nAnswer: 24528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 140 - 2?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**0*c)*c)\/c*c)\/((c*c*c**(1\/2)*c)\/c)*(c**(1\/5)*c)**6 assuming c is positive.\nAnswer: c**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 987 - 698. Let r = 68 - -126. Let u = i - r. What are the prime factors of u?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(10)*1) + sqrt(14) + 1*sqrt(14)*-2)\/(sqrt(175)*-6 - (sqrt(252) - 2*sqrt(252))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3296540195\/209 - -15773058. Let h = s - 1552\/11. Find the common denominator of -16\/171 and h.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (9 - (4 + 29)) + -15.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 28. Let b = r - 7. Solve c**3 - 6*c**b - 3*c**4 + 10*c**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456973\/60 + -7616. Let u = -1\/60 + p. Let c be (-3)\/(-6)*(1 - 3). Which is smaller: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-1372)\/(-56))\/((-40)\/(-16)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/7 + 279191*a**3\/7 - 3*a**2\/7 - 837575*a\/7 - 558382\/7 = 0. What is a?\nAnswer: -279191, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12)*-1) + 3 + sqrt(500).\nAnswer: 3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(2*v + 0*v - 3*v)*((0 + v + 0)*(0 + 0 + 1) + v - 2*v - v + 0 + 4*v + 0 - 3*v + 2*v + 0*v) - 4*v**3 + v**3 + 8*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*b - 4*m, -3*m - 23 - 13 = -3*b. Let s(r) = r**2 - 5. Let w be (5\/5)\/((-3)\/12). Let a be s(w). What is the greatest common factor of b and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + sqrt(160) + sqrt(160)*-1)*4)\/(-5*(sqrt(392) + sqrt(8))) + 4.\nAnswer: -sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.2 (c) -22 (d) -367.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2804184 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*m + 16 = 0, 6*t = t + 3*m - 19. Let v be t\/18 + 253\/9. Suppose -5*i + v = 2*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 + 3007*q - 3*q**2 - 3007*q + 70 + 67 + 71.\nAnswer: -3*q**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3023211030 - 21?\nAnswer: -3023211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 3:43 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-8))\/(-13*13\/(-676)). Let j(c) = 92*c**2 - 4*c - 1 + 4 + 0*c. What are the prime factors of j(i)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/2 (b) 1.3 (c) 2\/715\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -391.95913 - 0.04087. Is q equal to -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(38)*-3 + sqrt(38))\/sqrt(2) + -5 + (sqrt(931))**2.\nAnswer: -2*sqrt(19) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5*(-7)\/((-7)\/1))\/(10\/(-20)))\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17*o**2 - 13*o + 13. Let m(s) = -4*s**2 - 3*s + 3. Let r(f) = 26*m(f) - 6*z(f). Let h(a) = -17*a**2. Calculate h(r(q)).\nAnswer: -68*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 4. Let o(y) = -96 + 96 + 2*y**2. Determine o(t(b)).\nAnswer: 18*b**2 + 48*b + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 - 8*q + 7. Let w be x(-7). Let i(g) = -w*g**3 - 1 + 0 + 7*g**3 + 2*g**3. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 730 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4*g**2 - 3*g + 3. Let z = 6 - 4. Let k be a(z). Let x(q) = q**2 - k*q**2 - q**2 + 3*q**2. Let f(p) = 2*p. What is x(f(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 1420*i - 1420*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*q - 109. Find the second derivative of 2*o**q + o**4 - 4552*o**2 + 4562*o**2 - 28*o wrt o.\nAnswer: 36*o**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202200020 (base 4) to base 5\nAnswer: -14010240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p - 58. Let i be s(10). Solve i*w + 4 = -0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 + 3*w**2 - 7*w**2 - 2*w**2 + 16. Determine z(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k**2 - 2*k - 1. Let u be f(-2). Suppose -2*h - u = -2*s + 3*h, -3*h = -15. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/322 and -55\/8122.\nAnswer: 1307642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**43)**36*s*s**(1\/3)*s**(-14) assuming s is positive.\nAnswer: s**(4606\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 15 = 29*n. Let h = 15 + -11. Calculate the smallest common multiple of n and 9\/h - 24\/(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.5 (c) -1\/4 (d) 1\/4 (e) -125\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14229\/11 - 1293. Let o = 9.24 - 9. Let i = o - -0.06. Which is the closest to 0.2? (a) -5 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-5) - 0\/(-2). Let m be t + 3*2\/6. Solve 0 = -0*s + m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 10*g**2 - g + 7. Let y be b(-10). What is the second derivative of -y*k**2 + 2*k**2 - 525*k + 530*k wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 2 - 2)*(37 - 13 - 16 + 3*m) to the form o*m + p*m**2 + x and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -381681*n**4 - 48*n**3 - 55087189*n**2 wrt n.\nAnswer: -9160344*n - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16896 + 58902. List the prime factors of h.\nAnswer: 2, 3, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71544\/534 + (-86 - 643104\/(-7476)).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7)*(-52)\/650?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21162*n - 280520*n**2 + 21162*n + 280350*n**2.\nAnswer: -170*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357191 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -17*c**3 - 1\/3 + c + 12*c**4 + 13\/3*c**2 = 0?\nAnswer: -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 120*q + 1320. Let f be w(-11). What is the closest to -2\/3 in -20, -1\/4, 4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*1\/(-2) + 1 + -4. Sort -1\/4, j, 76 in increasing order.\nAnswer: j, -1\/4, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4122, 4362, 4602, 4842?\nAnswer: 5082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2. Let b(j) = j**2 + 0 + 3 - 3. Give u(b(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - u + 17. Calculate y(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2274 - 6700\/3. Let r = -41 + i. Let m = -14 - -15. Sort r, m, -12.\nAnswer: -12, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (96\/(-36))\/(2\/(-3)). Solve 0 = s*h - h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9376*n**2 + 2*n - 8. Suppose 15 = -2*j + 7. Let o be f(j). What is o rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.56 from -1477.\nAnswer: -1501.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*c + 19 = 3*c, -3*y - 5*c + 29 = 0. What is the derivative of -y - 8*i + 3*i - i - 8 wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2568, -2554, -2480, -2304, -1984?\n\"Answer: 7*w**3 - 12*w**2 + w - 2564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 15*k + 0*k**3 + 0*k**2 + 5\/3*k**4 + 0. Let c(t) = 2*t**2. Give c(p(f)).\nAnswer: 800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 62.\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w - 1. Let t(z) = -3*z**3 + 2*z**2 - 3*z - 2. Let q(h) = -2*s(h) + t(h). Factor q(j).\nAnswer: -j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22223 divided by 71.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-644)\/(-392) - (-9)\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53.9266 litres?\nAnswer: 53926.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6930606, 6930610, 6930616, 6930624, 6930634?\nAnswer: 6930646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51944\/13 - -4000. Factor 16\/13 + 2\/13*x**5 + 16\/13*x**4 + w*x + 76\/13*x**2 + 50\/13*x**3.\nAnswer: 2*(x + 1)**2*(x + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -39. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from sbauuausu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n - 9 = 0. Let t = 11 + n. What is the units digit of 35 + t + 18\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*h - 33*h - 18. Solve -4*t - h = 2*n - 0*n, 0 = -3*t - 3*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19167096?\nAnswer: 2, 3, 13, 23, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2859 and 41286.\nAnswer: 39345558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 divided by 1?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 1, k: 3, g: 1, u: 1, o: 2}. Give prob of picking 1 x and 1 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/6 - b**2 + 28*b. Let n(t) = t. Calculate 2*n(x) + y(x).\nAnswer: -2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-41 - -4*1\/(-4)). Let v = i + -42. Suppose v = 3*j + 5*s - 28 - 34, 0 = j - s - 26. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (sqrt(960) - sqrt(960)*-1))\/(-2*sqrt(48)) - (sqrt(405) + sqrt(405) + 2 + 5 + -4))**2*1*3.\nAnswer: 729*sqrt(5)\/2 + 98847\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/120 + 11*b**5\/30 + b**4 - 19*b**3\/6 - b**2 - 31. Let m be g(23). Solve 0 = -m*h + z - 11, 2 = 4*h + 3*z + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.06 + 0.06. Let k = -2437\/3 - -780. Let s = -32 - k. Which is the smallest value? (a) s (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2713 - 14?\nAnswer: -2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7916 times -88.6?\nAnswer: -70.13576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/420 and 141\/4857580?\nAnswer: 14572740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23374253?\nAnswer: 7, 3339179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**4)**(-20\/11))**(-3\/7))**34 assuming x is positive.\nAnswer: x**(8160\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1015\/7105)\/(((-4)\/(-1))\/2128)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/66 - 2028\/(-3718)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/94050 and 47\/120175?\nAnswer: 2163150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381148966.\nAnswer: 2, 11, 17324953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2653764 and 639044?\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1048*q**5 - 937*q**5 - 1418*q**5 + q**4 - 5 + 5 + 2*q**5 + (-q - 2*q**2 + q)*(-2*q**3 - q**3 + q**3).\nAnswer: -1301*q**5 + q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107115 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*i**3*v**2 - i**3 + 10*i*v**2 - i wrt i?\nAnswer: -714*i*v**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45605*k + 340152 wrt k?\nAnswer: -45605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2)*m)\/(m\/m**6)*(m*m*m*m**(-1\/8)*m)\/(m*m\/(m*m**(-4)\/m)))**(-10\/3) assuming m is positive.\nAnswer: m**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109 + -11913?\nAnswer: -11806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625414 is divided by 1625407.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -1, -46381, 1 in descending order.\nAnswer: 1, -1, -2, -4, -46381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1741 divided by -3\nAnswer: -1741\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + (sqrt(1512) - (-2*sqrt(1512) + sqrt(1512))))\/(1*sqrt(216)) + -2 + (5*(sqrt(84) - 1*sqrt(84)))\/sqrt(12).\nAnswer: -2 + 13*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(8)\/sqrt(4)) + sqrt(360)\/(1*sqrt(10)))\/((sqrt(120) - -1*((-4*sqrt(120) - sqrt(120)) + sqrt(120) - sqrt(120)))\/sqrt(10)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z + 7*z - 11*z)*(z**2 - z**3 - z**2 + (-11*z - z - 2*z)*(-5*z**2 + z**2 + 3*z**2) - 4*z**3 - z**3 - 2*z**3).\nAnswer: -78*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.1. Let n = -13.1 + 13.6. What is the closest to 1\/4 in v, -0.3, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45194495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1bd10b (base 15) to base 3\nAnswer: -2120010001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 1.392. Let d = h + 0.092. Which is the second smallest value? (a) -2 (b) d (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 222013032?\nAnswer: 222013032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -939779011*w**4 - 2*w**3*z + 43*w**2*z - 2*w**2 - w - 291288*z wrt w?\nAnswer: -22554696264*w - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 4, h: 7}. What is prob of picking 1 r and 1 h?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2241 - -22409\/10. What is the closest to 2\/19 in k, -2\/3, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose 2*k + k + d = 0. Let t be ((-2)\/(-4))\/(k\/(-132)). What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(448)*2 - sqrt(448))*-6*-3 + (-2*sqrt(84)*-2)\/(2*sqrt(108)) + 4)**2.\nAnswer: 4340*sqrt(7)\/3 + 1318717\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 105*d**2 + 931*d + 5437. Calculate o(-96).\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -333 + 336. Suppose 0 = -l - 2*s + 1494, -15*l = -10*l + n*s - 7470. What are the prime factors of l?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1740\/(-2784))\/(10\/4). Which is the closest to q? (a) 3\/10 (b) 1 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/96664512 and -7\/781?\nAnswer: 1063309632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 25285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 8*v - 4. Give l(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/3 - 8234*t**3\/3 + 178970*t**2 - 2941026*t.\nAnswer: 2*t*(t - 4051)*(t - 33)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3067 (base 10) to base 12.\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82669 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: b\"What is the sth term of 129, 237, 341, 441, 537, 629, 717?\n\"Answer: -2*s**2 + 114*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/12 + v**3\/9 - 1. Factor d(s).\nAnswer: s**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -786861 and 0.7.\nAnswer: -550802.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 1 - 123\/4. Let s = d - -33. Let m = 0.7 - 0.2. What is the third biggest value in m, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3117*b + 2960*b - 4239 = 0 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 12*j = -4092. Suppose 3*u + 0*u - j = 0. Suppose -11*l + u = -0*l. Is 34 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**2 - 40*v - 16. Let n(c) = -c**2 - 8*c - 3. Let s(z) = -11*n(z) + 2*u(z). Calculate the remainder when 24 is divided by s(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Suppose m = -3*z + 15 + 9. Round z to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(28\/(-32) + 1). Suppose -2*r = -20 + y. Solve r = 3*x - 5*o - 34, -5*o = -x + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. Suppose 5*c + w - 9 = 5, t*c - 10 = -5*w. Solve -3 = -2*u - 1, c*u = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 3. Calculate x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 k when four letters picked without replacement from dzvddukd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 23. Let w be (-207)\/27*1*3. Let q be m(w). Solve -3*p + 4 + 11 = q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(sqrt(1700) + -2 - sqrt(1700) - sqrt(1700)) + (-1*sqrt(1700) + 0 - sqrt(1700)) - 2*(-1 + sqrt(1700) + sqrt(1700))*-1*5))**2.\nAnswer: -5280*sqrt(17) + 245284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + d**4 + 0*d**4 + 5*d**2 + 2*d - 13*d**2 - 3*d**4 to s*d**2 + p*d**4 + b + x*d + f*d**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0.07, 781?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 2, h: 1, b: 1, w: 2}. Give prob of picking 2 w and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 + -0.24. Sort 5, -4, b, -2 in increasing order.\nAnswer: -4, -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c - 1. Let h(m) = -21484 - 2*m - 21488 + 2*m**2 + 42970. Suppose 4*z + 6 = 3*z. Determine z*p(q) + 2*h(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 + 633513?\nAnswer: 633805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20434, -40720, -60998, -81268, -101530, -121784, -142030?\nAnswer: -162268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 7*s**2 + 7*s + 3. Let v be p(7). Suppose -j = -8 - v. What is the remainder when j is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/4 + 22*d**3\/3 - 65*d**2 - 2*d + 9. Calculate q(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -411*z + 210*z + 4710 + 31*z + 468*z + 430*z wrt z?\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 190425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:57 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17748 * 0.4.\nAnswer: -7099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 7. Let q(o) = 17*o - 68. Let k(i) = 18*p(i) - 2*q(i). What is k(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/17680 and 139\/552?\nAnswer: 1219920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*s\/(s*s*s*s**(-3\/11)\/s)*s)*s*s)\/s**(2\/15))\/(s**(3\/11)\/(s\/(s**(-1\/5)*s))) assuming s is positive.\nAnswer: s**(581\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - i**3 - 4*i**3 + (3 - 4 - 2 + i**2 - 5*i)*(i - 5*i - i) to the form y*i**3 + k*i**2 + p + o*i and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 33 in descending order.\nAnswer: 33, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 1. Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2\/2)*(-5 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1669 is divided by 416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3*b - 2. Let c be i(4). Suppose 2 + 2 = c*m. Solve -m*z = 4*p - 16, 0 = -p + z - 4 + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 7912998*p + 31651960.\nAnswer: 2*(p + 4)*(p + 3956495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + r)*(21*r**2 - 5*r**2 - 1 + 17*r**2).\nAnswer: -66*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 79 = 121 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by 13?\nAnswer: 141\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01606329862 to six decimal places.\nAnswer: -0.016063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.71 - 21469.7253.\nAnswer: -21472.4353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**7\/n*n*n)**(23\/4) assuming n is positive.\nAnswer: n**(207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, z: 10}. What is prob of picking 3 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, -4, 48250 in decreasing order.\nAnswer: 48250, -4, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s - 19\/3*s**3 + 0*s**4 + 0*s**2 + 71\/7*s**7 - 80 + 0*s**5 + 0*s**6. What is the third derivative of r(l) wrt l?\nAnswer: 8520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u\/u**(-4))**20 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1559383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0 + 0*l**3 + 0*l + 2*l**2 + 1\/6*l**4. Let w(m) = -m - 5 + 5. What is w(p(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(6*3\/45). Suppose 0 = 90*b - 95*b - 5. Sort b, g, -3.\nAnswer: g, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - 5) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42250223 (base 6) in base 12?\nAnswer: 4b6973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, h: 1, k: 1, p: 3, m: 1}. What is prob of sequence fmkp?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16)*(-26)\/(-39).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*-0.23\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2915763.6 minutes?\nAnswer: 48596.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -719419654*b**6 + 5*b**2 + b + 14942188.\nAnswer: -86330358480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.098361 times -100\nAnswer: 9.8361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17660 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11116861 and 102?\nAnswer: 66701166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19620048937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749593, 749618, 749643, 749668?\nAnswer: 749693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30\/29, 0.2, 2\/5, -0.4, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.83 + 18.71. Which is the nearest to y? (a) 4\/3 (b) 1\/2 (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, 2\/7, -3, -2\/27?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/(-10) + 3838380\/950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = -106*s - 1189 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09103922 to 3 dps.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323 + 316 + 307 - 1075*x**3 - 952 + x to the form q*x + f + k*x**2 + g*x**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19900649017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**2 - 70. Let w(v) = -2 + 2 + 12*v**2. Determine w(j(a)).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 - 12894*k**3 + 40 + 3418*k + 226*k**5 + 12894*k**3 - 40 wrt k.\nAnswer: 4520*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 59 = 109. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than 6943909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l + 5*d + 6, l + 4 = -2*d. Which is the third smallest value? (a) l (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*x**3 + x**2 - 224*x - 10*x**2 + 228*x - 233*x**3 wrt x.\nAnswer: -1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 16*t**2 - 50*t - 51. Give l(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - -1. Suppose 0 = 5*f - 10*f + 50. What is the greatest common divisor of v and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r*r\/r**(-26))\/r)\/((r*r**(-20))\/r))**0)**(-36\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.0037 + 44. What is q rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 313757 divided by -846\nAnswer: -313757\/846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4 + 10044*l**3 + 3265524*l**2 - 3295676*l - 6551160 = 0.\nAnswer: -2127, -385, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26721 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36.34 and 11.27.\nAnswer: 47.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -21*w - 2. Let a(k) = -k + 5. Let o be a(6). Calculate the remainder when i(o) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 47 = -3*w. Suppose -w*q + 11*q = -444. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2.8. Let z = 7.2 - 7.252. Let i = z + -0.048. What is the closest to n in 0.1, i, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1434.1?\nAnswer: -7170.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suov when four letters picked without replacement from utvso.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Suppose 5*a = 5*r - 110, 2*r = -u*a + 20 + 24. What is the lowest common multiple of 18 and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:26 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 25 = -z. Suppose -z*t - 3 = -18. Solve -t*s + 3 = -3*v, 5*v + s + 9 = 4*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47904 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 63*u + 39. Give y(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -934*c - 792. Let r(s) = -1401*s - 1179. Let q(v) = -8*g(v) + 5*r(v). What is the derivative of q(p) wrt p?\nAnswer: 467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161076257 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 - 1899*p - 13440 = 0 for p.\nAnswer: -7, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 24*p**2. Let h(d) be the first derivative of 15*d**2\/2 - 578. Calculate h(o(u)).\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -354\/7 - -51. What is the fourth biggest value in v, 2\/3, 3\/5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(72) - sqrt(72)*-3) + sqrt(72) + sqrt(72))\/sqrt(6) + sqrt(12))\/sqrt(4) + -4.\nAnswer: -6 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22111.\nAnswer: 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2762, -2768, -2778, -2792, -2810, -2832?\n\"Answer: -2*o**2 - 2760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -753538158*h + 252627838.\nAnswer: -753538158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/2574*11*(-6)\/28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/34, 1, 0, 24, 340 in ascending order.\nAnswer: 0, 1\/34, 1, 24, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10759 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 - 8*i - 21. What is the least common multiple of 267\/15 + 1\/((-10)\/(-2)) and n(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = -y, 2*y + 2*a - 7 = 21. Suppose -q + y = l - 9, 0 = 4*q - 2*l - 120. What is the remainder when 56 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -99 + -3?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 8 - 3)*(-4)\/(-3). What is the closest to 0.1 in 1, j, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-10)*(-140)\/(-42). Let g be (-183)\/(-27) + b\/18. What is the second derivative of 34*z - 13*z - g*z**3 - 15*z - 12*z wrt z?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*j - 2*j**2 - 25*j + 88*j - 846 + 109*j + 347*j wrt j?\nAnswer: -4*j + 501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 8 + 538*z - 536*z + 3 in the form k*z + j and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 19*l**2 - 21*l - 15. Let u be y(-20). Let n be (u\/15)\/(5\/(-30)). What is the units digit of n\/(-6) - (-3152)\/48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (-11 - -5 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -163*d - 464. List the prime factors of k(-24).\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**2\/b))**7\/(b\/((b\/b**(-5))\/b)*(b\/(b\/b**(1\/3)))\/b) assuming b is positive.\nAnswer: b**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1331) + -6*(6*sqrt(1331) - sqrt(1331)) + sqrt(1331))**2 - -2*(sqrt(11) + -3 + sqrt(11) + -2)*3)*-4.\nAnswer: -4173900 + 2416*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 417 + -392. What is the highest common factor of m and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -359 and -2.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 2 - -1 - 4. Suppose -930 - 396 = -34*m. Sort m, -4, l in ascending order.\nAnswer: -4, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9 = -3*s - 0*s, r = s - 3. Suppose 8 = -s*w - w. What is the smallest value in -1\/6, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-20)*(-5)\/2. Let v = 50.8321 + -0.0321. Let f = v - 51. What is the second smallest value in x, 0.4, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1.6 (b) -1.45 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjm when three letters picked without replacement from {m: 2, u: 2, o: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*f**2 + 1440*f**2 + 1610*f**2 + 430*f**2.\nAnswer: 3010*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1783\/100 + 71\/4. Which is the second biggest value? (a) 0.4 (b) r (c) -1 (d) -0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12 + (12 - 22358\/1862)\/((-18)\/(-105))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 2*o**3)*(0 + 4 - 2) + 0*o**3 + 0*o**3 + 2*o**3 + (-o**2 - o + o)*(-2*o - 1 + 1).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 680\/44 - (-18)\/33. Suppose -2*j - 4*a = -10, -5*j + a = 2 - 5. Let q be j - 1 - (-1 - -1). Solve 2*m - x = t - 6*t, 2*m + t = q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(19)*3 + -5*(sqrt(304) - sqrt(19)) + -3.\nAnswer: -21*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104255 - -3?\nAnswer: -104252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 2, m: 2, d: 1, n: 2}. Give prob of sequence mm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -39, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d**2 - 174*d - 516. Determine z(-3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1150\/(-2625) + -2 + (-17)\/15 + 3. Put p, 1\/2, -0.1, 0.4, -0.8 in decreasing order.\nAnswer: 1\/2, 0.4, -0.1, p, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3960.4881 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a + 5*a**3 - 2*a**3 + 11*a**4 + 2*a**3 - 30*a**4 as o*a**2 + i + s*a**3 + v*a**4 + z*a and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/4*(-14 + 18). Let b(r) = -4*r + k + 2*r**2 - r**3 + 7*r + r. List the prime factors of b(-4).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/16 (b) 5 (c) 2149401\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 127 = -7. Let s be ((-3)\/g)\/(1\/5) + 0. Let i be (1\/(-2) + s)*-2. Which is smaller: i or -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + 52 + 21 + 2 + -10.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 104669488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 8\/4)*-1. Let m(a) = 2*a - 1. Let o be m(c). Suppose -g - 82 = -4*r, -2*r = -4*g - 21 - o. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23985)\/(-346437) - 44\/517.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**3\/2 + 35*w**2\/2 - 14*w. Let c(t) = 2*t**2 - 5*t - 3. Calculate the remainder when f(0) is divided by c(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398640.\nAnswer: 2, 3, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355273 (base 8) to base 12.\nAnswer: 5a3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 174.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-7)\/((-140)\/(-25)) - -2. Is 23\/3 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/(-154)*((-8)\/(-3))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j**2 - 9*j + 9. Let i(t) = 2*t + 6 - 4 - 4 + t**2 + 2*t**2. Let s(v) = -9*i(v) - 2*k(v). Let a(b) = -b**2. Give a(s(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.2 + 27. What is the closest to 4 in a, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2 (c) -35 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 167, 0, 270?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*v - 10. Let t(m) = 2*m + 10. Does 18 divide t(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/10471135 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*l = 22, 2*i + i + 2*l = 29. Suppose 5*a - i - 3 = 0. Factor 0*t**3 + t**3 - 3*t**2 + 0*t**3 + 0*t**2 + a*t.\nAnswer: t*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-992)\/3224 + 10\/(-52). What is the nearest to -0.07 in -6, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*g**2 - 166*g**2 + 30363*g**3 + 446*g**2.\nAnswer: 30363*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 68069623 to the nearest one hundred thousand.\nAnswer: 68100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -7\/3 (c) -1\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.658 + -0.658. Let s = -11 + 16. Put -3, 1\/6, j, s in decreasing order.\nAnswer: s, j, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1749 - 59*f - 1749 - 54*f to the form p*f + q and give p.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**2 + 2*i**2 + 13*i**3 - 5*i**2 - 3.\nAnswer: 13*i**3 + 26*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 99. Is 7 a factor of (-38)\/b*(-112)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.321 - 0.679. What is the smallest value in 533, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507947 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778.9443us to nanoseconds.\nAnswer: 778944.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qicpmzz. What is prob of picking 1 i, 1 q, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*k + 165, 8 = -k + 3*l - 11. Let d = 43 + k. Let g be (3\/d)\/((-1)\/(-3)). Which is the closest to 3? (a) 1\/6 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 24 - 4. Let u = t - -33. Let a = u - 12. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 4. Suppose 20 = -y + 3*v + n*v, -3*v = -3*y - 12. Suppose 3*i + 2*i - 30 = y. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137778.\nAnswer: 2, 3, 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -928, -957, -956, -907, -792?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73694*x + 3366 = 73643*x for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/47)\/o)\/o)**20)**(-22) assuming o is positive.\nAnswer: o**(40480\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*z**3 + 63*z**3 + 60*z**3 - 243*z**3 + 56*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4860128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 9:39 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:33 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 26*v**2 + 312*v - 4550. What is c(31)?\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = -b, -10 = -0*b - b + 2*l. Let t be 18\/b - (-33)\/(-132). Determine h so that -h - 1\/4*h**t - 1 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 1946 = -98*i + 1281 - 807 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152*731.\nAnswer: -111112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 1:48 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-28)\/70 + (1354\/10 - 2) is divided by 32 - (2\/(-4) - (-63)\/(-18)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.5 + 11. Let y = -74 - -69.1. Let f = 1.9 + y. Which is the nearest to 0.2? (a) f (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 - t**2 - 2*t + 2. Let c be h(1). Suppose -5*s + 15 = -4*i, 4*s = c*s - 2*i - 12. Let y = 436 - 438. What is the nearest to y in s, 4, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.3. Let h = 0 + r. Let v be (-6 - -9)\/((-18)\/4). Which is the closest to h? (a) 0 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(50)*6*-2)\/((sqrt(400)\/(sqrt(20)\/sqrt(2)))\/(sqrt(176)\/sqrt(11))))**2*-4.\nAnswer: -46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -4 (c) 0.2 (d) -0.39 (e) -0.116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490588452.\nAnswer: 2, 5303, 70271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111122221 (base 3) in base 9?\nAnswer: -44587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -h, -2*h + 7*h = u + 17. Suppose -6*z + h*z + 42 = 0. Suppose f = -f + z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m + 67. Let l(p) = -6*p - 68. Give 6*l(c) + 7*u(c).\nAnswer: -c + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 7*d**2 - 7 + 22*d**2.\nAnswer: 11*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9642015 and 1665.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 908584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 459*w - 49. Let i(g) = 932*g - 98. Let c(f) = 3*i(f) - 7*q(f). What is the first derivative of c(o) wrt o?\nAnswer: -417","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*j + 122 + 108, -j - 2 = 0. What is the remainder when u is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((704\/210 - 136\/(-2856)) + -1)\/(8\/270)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 192, 787, 2038, 4185, 7468?\nAnswer: 12127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -1)*-3 + sqrt(720) - (4 + sqrt(720)*2))**2.\nAnswer: 96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/104 - (-796)\/368.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -725002*m + 16. Let u be (-4 + 5)\/((-2)\/(-14)). Let i = u + 1. Let z be q(i). Round z to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 7*x + 5. Let p be m(5). Let d be p\/(-35) + (-214)\/(-7). Let k be ((-26)\/(-6) + 4\/(-2))*d. What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -592*t**2 + 672*t**2 + 1325*t**2 + 4*t**2 - t**2 - 2*t**2 + (-t**2 - 3*t**2 + 2*t**2)*(1 - 1 - 1).\nAnswer: 1408*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5149*f + 338*f - 19 - 21 + 901*f + 38.\nAnswer: -3910*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75941219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let v = w + 0.1. What is the nearest to v in -2, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64784026677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10961 divided by -97.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93846?\nAnswer: 2, 3, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 18696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6879.431 - 6884. Let c = 4.5 + a. Let x = c - -0.06742. What is x rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 582292958*d. Let l(s) = 2*s. Give q(l(i)).\nAnswer: 1164585916*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -175*u**3 + 3*u**2 - 5*u - 6. Let z(i) = -87*i**3 + i**2 - 2*i - 3. Let j(q) = -2*v(q) + 5*z(q). Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:13 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98036.66 weeks to nanoseconds.\nAnswer: 59292571968000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 3, -2.\nAnswer: -7, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12378, 98835, 333494, 790455, 1543818, 2667683, 4236150, 6323319?\nAnswer: 9003290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 2*d + 1 = -20*l, -3*d - 2 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**31))\/(w\/(w*(w**(-27)\/w)\/w)))\/(w*(w\/(w*w**(-1\/10)))\/w*w)**(14\/9) assuming w is positive.\nAnswer: w**(-2777\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-30)\/(-4))\/((-45)\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 12\/5 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 18.7. Which is the biggest value? (a) -0.4 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*i**3 + 26*i**3 + 5*i**3.\nAnswer: 117*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let d(p) = -27*p + 169. What is y(d(i))?\nAnswer: -1458*i**2 + 18252*i - 57122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2828*a**4 + 5*a**2 - 1867*a + 55. Let w(k) = 2827*k**4 + 4*k**2 - 1866*k + 44. Let i(u) = 4*l(u) - 5*w(u). Find the second derivative of i(d) wrt d.\nAnswer: -33876*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -13404333?\nAnswer: 13404323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 2*t + 0*t + 6*t**3)*(3 - 1 - 5).\nAnswer: -15*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.406 (c) -2\/3 (d) -1\/18 (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5 = -5*a, 3*s - a = 8. Let f(u) = u**3 + 3*u**2 - 3*u - 3. Let t(d) = -4*d**3 - 14*d**2 + 14*d + 14. Determine s*t(g) + 14*f(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840674397 to the power of 1\/2, to the nearest integer?\nAnswer: 42903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 149\/10 (c) -109 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26558 divided by -3401?\nAnswer: 26558\/3401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/2 + (-1)\/2. Let n = -24 - u. Solve 0*b - n*b + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 72. Let w = -11 + o. Differentiate 6*k**2 + k**2 - k**2 + w - 5*k**2 with respect to k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985 is divided by 104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.021 + -0.521. Let s = -2.95 + 3. Let f = s + 1.95. What is the closest to f in 0.2, i, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85146500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {l: 3, f: 1, s: 8, j: 6}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 10189 to the nearest one hundred.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110622257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1119224 and -81\/4.\nAnswer: 1119224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 + 0.3. Let y(m) = -26*m - 568. Let f be y(-22). Which is the closest to -1\/4? (a) f (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 208*r + 31. Let m(f) = 139*f + 21. Let a(k) = -8*m(k) + 5*u(k). Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*z + 2*z - 12, -5*z - 5*n = -5. Calculate the common denominator of z\/(-4) - (1 - 6) and (-21)\/7 + (-141)\/(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a - 6. Let c be p(1). Suppose -3*s = -6*s + c*k + 70, 0 = s + 4*k - 28. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145550 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 836 + 196. Let w be (q\/(-12))\/((-12)\/9 - -2). Let a(i) = i**3 - 7*i**2 - 8*i. Let u be a(8). Solve u*h - w = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104021 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95549, -0.39, -1\/3.\nAnswer: -0.39, -1\/3, 95549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 - 0.06. Let x = l + 0.43. Which is the third biggest value? (a) x (b) -8.7 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {i: 6, g: 3, x: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 372*r - 368*r + 61, 0 = 2*n + 5*r - 33 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1911 + -1916. Sort a, -3, -8, -0.4 in descending order.\nAnswer: -0.4, -3, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 + 2*f + 135 - 416 + 129 to the form n + o*f and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 36 (b) -7\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/15, -8\/5, -0.135222?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/43 - 106\/301. What is the closest to 1 in -16\/7, x, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 261 + 37. Let n = u + 103. Let c = n - -86. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) 0.2 (c) 0.4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7814, -60951, -204774, -484631, -945870?\nAnswer: -1633839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15784*v - 15788*v - 28 = -5*g, 4*v = -4*g + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*z + 90*z + 142*z + 52 + 96*z - 17.\nAnswer: z + 35","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 3 + 3 - 5*r + 3*r + 3*r + (-3*r + 2*r + 2*r)*(4 - 4 - 2) + 29198 - 6*r - 3*r - 58350 + 29282 to p*r + o and give o.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 21705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 - -41?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**5 - 530*v**2 + 1496*v - 7 wrt v.\nAnswer: -140*v**3 - 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + 2*o)*(-2*o**4 + 4*o**4 + 4*o**4) + o**5 + 1 - 1 - 18*o**5 - 5*o**5 + 4*o**5.\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -16\/348505?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 3*z - 27, 2078*z - 2083*z + 2*y = 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -7, -24, -39, -46, -39, -12?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1. Let m(r) = -r - 14. Let b be m(-16). Calculate p(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085079 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 691*n**5 + 300*n**3 - 21*n**2 - 268225*n?\nAnswer: 41460*n**2 + 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 + 261*n**2\/2 - 6629*n\/4 + 1527.\nAnswer: -(n - 509)*(n - 12)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2421*m**2 - 169466*m + 280.\nAnswer: -(m + 70)*(2421*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 1772*c + 1771.\nAnswer: (c - 1771)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -87*n**4 + 11*n**3 - 6*n**2 + 30*n + 9. Let p be w(24). Let h = p + 16192002. Round h to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/142142 and 137\/2002.\nAnswer: 142142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1956*y + 1950*y + 44874 = 0. Let n = 22479 - y. Round n to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 5*z - 13. Let b = -10 - z. Let n be 5 + b*(-1)\/(-2). Solve y + 0*y + 23 = -4*k, 0 = k - n*y - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208237 is divided by 69411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -473709626*s**4 - 6*s**2 + 2*s + 30366642 wrt s.\nAnswer: -11369031024*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 7*s + 8. Let m be v(-6). Put -3, m, 0 in descending order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b + 2*y, 2*y - 12 = -3*b. Suppose -22 = -b*w + 340. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, -31, -8\/3, 0.4 in descending order.\nAnswer: 5, 0.4, -1\/4, -8\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*p - 64 - 360, 0 = 4*v + 12. What is p rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -5 in decreasing order.\nAnswer: 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4684\/10 + (-45)\/(-75).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63105 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - 4*q - 6. Let r be y(-5). Suppose -r = -3*s + s. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12502250 is divided by 3178.\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1406350\/7 bigger than -200906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:35 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/132 and 85\/372.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 574 - 599.1. Let f = -25.0843 - b. Round f to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by -5 + (-1)\/((-4)\/(249 + -5))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*a**2 + 488*a + 864 = 0. Calculate a.\nAnswer: -108\/7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, b: 7, j: 4}. Give prob of picking 1 j and 1 b.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15389, -15035, -14681, -14333, -13997, -13679, -13385, -13121?\n\"Answer: -i**3 + 6*i**2 + 343*i - 15737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = 5*w + 352. Let z = 148 + w. Suppose 5*p + 0 = 10. Solve p*b + z = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2. Let x(i) = -6*i + 114. Give y(x(c)).\nAnswer: -144*c**2 + 5472*c - 51984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 19*o - 142 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1753964 and 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let b = 18 - g. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1884417 and 141.\nAnswer: 88567599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*y - 5*y + 5*l, 5*y + 3*l - 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:17 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Let y(w) = 4*w + 0*w**3 - w**3 + 2*w + q*w**2 + 7 - 2*w. Give y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22737974 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 13*z**6\/6 + 19*z**3\/3 - 11. What is the third derivative of c(x) wrt x?\nAnswer: 780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**4\/8 - 49*v**3\/6 - 3*v**2 - 15. Calculate the smallest common multiple of g(-18) and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 - -0.5. Let x = 0.37 + t. Let p = -0.1 - -0.2. What is the closest to 1 in -3, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3626 and -29\/18.\nAnswer: 32634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*s - 2*z + 9, 0 = -5*s + 4*z - 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(187)*1*-1)\/(-1*(sqrt(11) + (1*sqrt(110))\/sqrt(10)))*4)**2 + 3.\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22099 + 44199 - 22107 - 232*a)*(-5*a + 3*a + 3*a) in the form t + b*a + r*a**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -22. Let u = -16 - q. Let l = u - 1.9. Which is the second smallest value? (a) l (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78803991 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 - 154.091. Let d = 0.04 - j. Round d to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1004 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*o = 2*q + 9, 0 = 4*q + 5*o + 39. What are the prime factors of ((-60)\/(-25))\/(q\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1018, -1987, -2904, -3769, -4582, -5343, -6052?\n\"Answer: 26*h**2 - 1047*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 11\/9, 0.2, -8\/5, 0.3, 5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 107 - 107 + y. Let o(k) = -k. Let h(t) = t**2 + 21*t + 34. Let r be h(-19). What is r*v(g) - 7*o(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nybu when four letters picked without replacement from puybuvpbvypbyunby?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1405 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -26264 divided by 392\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*5922.\nAnswer: 1184.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65013*n - 44 + 65011*n + 239.\nAnswer: -2*n + 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 2. Determine r(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -1\/15*i**6 - 1\/2*i**4 + 0*i**2 - 8\/25*i**5 - 4\/15*i**3 + 0*i - 3. Factor x(p).\nAnswer: -2*p**2*(p + 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:27 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 44 = 3*q + 27, 2*t + 5*q - 29 = 0. Let y = 33\/2 - t. What is the biggest value in y, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**7\/420 + 5*l**4\/24 - 2*l**3\/3 + 2. Let u(m) be the third derivative of a(m). Differentiate u(z) with respect to z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864097.2s in days?\nAnswer: 10.001125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27193 <= 2350.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 6*c = 20. Let n = 19 - c. Suppose -n - 11 = -5*w. Solve 0*j + 2*d = -w*j, -4*j - 4*d = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -9*j + 4. Suppose 26*f = 24*f + j. Are f and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:12 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*s - 3*d, -4*s + 2 = -0*d - 2*d. Let x be 3 - (2 - 5) - s. Suppose x*t + 10 = 7*t. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.5, -5, -1\/4, -0.1 in descending order.\nAnswer: 6, 0.5, -0.1, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -64*f + 20. Let j be t(-9). Suppose 2*b + j = 4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 2*m - 16. Suppose m*p = 7*p - 315. Calculate the remainder when p is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v - 1. Let o be n(5). Suppose -m + o = -4*r, -m + 5*r = 2*r - 50. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.053.\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 + 42*y**2 - 5*y - 8. Calculate p(10).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5610 != 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 274, 297, 320, 343?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 3\/8, 28, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3186 divide 156770316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 10*y - 9. Let p be 5*42\/35 - 302. Let r = 332 + p. What is the lowest common multiple of r and j(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*c*d*z**3 - 2*c*d*z**2 + 2*c*d*z - 7*c*z**3 + 48*c*z - 2*d*z**3 + d*z**2 - 2*d*z + 403*z**3 + 30*z**2 wrt z.\nAnswer: 258*c*d - 42*c - 12*d + 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/13606 and -77\/408180?\nAnswer: 408180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392520 + 559211. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 44, 71, 96?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 2615?\nAnswer: -261d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.085\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3139830 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.068 - -0.332. Let v be 6*((-14)\/(-18) + -1). Which is the third smallest value? (a) 5 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 7, s: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/42 and -16\/245?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5495\/2 + -2747. What is the closest to -0.2 in 1, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59700 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 + 2482*h**4 - 305092*h**3\/3 - 174466*h**2 - 246131*h\/3 - 11760 = 0.\nAnswer: -1, -1\/3, 45, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Let u(t) = t**3 - 2*t**2 - 5*t + 4. Let f be u(3). Suppose m + 3 = d, 4*m = -d + 3 - 20. Put z, d, f in descending order.\nAnswer: z, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117, -87, -67, -63, -81, -127, -207, -327?\n\"Answer: -y**3 + y**2 + 34*y - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 3*x**5\/40 + 9*x**4 + 432*x**3 + 10368*x**2 - 62*x - 60. Let f(b) be the first derivative of l(b). What is d in f(d) = 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {c: 5, m: 2, e: 3, x: 7}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 67. Suppose -2*b - 21 = -h*w, b - 12 = -9*w + 4*w. Let q(d) = -d**2 + d + 1. Give q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2\/1)*(-21)\/(-6). Let y(u) = u**2 - 5*u - 16. Let k be y(v). Which is the nearest to k? (a) 14 (b) 0.1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 907726460 to the nearest integer?\nAnswer: 30128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52545 - -52545.000054579. Round y to six decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 11*h - 14*h. Let j = h - -28. Let w be j\/42*(2 - 5). Which is smaller: -1\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i - 19. Let s be m(1). Which is the smallest value? (a) s (b) 0.1 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 2*s + (3 - 3 - s)*(2 - 6 + 3))*(0*s - 6*s**4 + 0*s).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671061955 to the power of 1\/2, to the nearest integer?\nAnswer: 51682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/27))**35 assuming x is positive.\nAnswer: x**(70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 2, r: 2, j: 1}. What is prob of sequence wwr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c - c + 420 = 0. Let d be 1\/2*10*16\/c. Solve -d*f - 3*f = -35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7108 divided by -7108?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -12. Let g = -5.3 - d. Let k = 8 - 7. Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32368? (a) -2\/7 (b) 0 (c) -2\/3 (d) -4\/5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 14, 2, -7858, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6. Let p(q) be the third derivative of q**5\/60 - q**4\/24 + 5*q**3\/6 - 7*q**2 + 241*q. Calculate 4*n(d) - 5*p(d).\nAnswer: -d**2 + 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 73 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 18.1. Let p = j - -17.5. What is the smallest value in 0.8, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 182*u**2 - 66*u**2 + 13*u**2 to k*u**2 + j*u + i and give k.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 15*s + 5*s**2 - 2 - 5*s + 14*s as i + p*s + j*s**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 139?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 + 13 = 0. Let z be 16\/(-32)*4\/f. Solve z = -d + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10915126 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 - 3 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.996209 centimeters?\nAnswer: 59.96209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 168 - 1\/6*g**3 + 0*g + 73\/40*g**6 + 0*g**5 + g**2 + 35\/24*g**4. What is the second derivative of y(j) wrt j?\nAnswer: 1314*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m + 1\/12*m**4 - 2*m**2 + 0 + 1\/6*m**3. Let z = 48 + -51. Let k(j) = -j - 1. Determine z*x(w) - 4*k(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 283436 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826648?\nAnswer: 2, 191, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**17\/(z\/(z*z**(-1\/37)*z)) assuming z is positive.\nAnswer: z**(665\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 20. Suppose 0 = -x + z*x. Let l(f) = -f**2 - 3*f + 2. Let c be l(-3). Solve 0 = -c*j - x*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 4. Suppose a*s = -0*s. Suppose 45 = v + 5*r + 12, s = -2*r + 10. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - 5*(sqrt(1008) - 1*sqrt(1008)) - sqrt(1008)*1*-3)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 2*c**2 - 4*c + 1. Let h be z(-3). Is 76\/(-8)*h\/(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2125\/102 + 1\/6. Suppose g = i - 39. Suppose t + i = 4*t. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6766938 and 5\/1962.\nAnswer: 6766938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6510767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/10763 or -1\/44?\nAnswer: -2\/10763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 96 + 18*o**2 - 4*o.\nAnswer: 18*o**2 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onooooono. Give prob of picking 1 o and 1 n.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/79764 and -77\/828?\nAnswer: 239292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 1, p: 2, o: 1}. What is prob of picking 2 p and 1 v?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -19. Let l be -1 - (1 + (2 - 2)). Let y = l - i. Calculate the smallest common multiple of 5 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 7*g**2 + 2 + g**2 - 10*g**2 to the form a*g + v*g**3 + d + x*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 958068, 1916149, 2874230, 3832311, 4790392?\n\"Answer: 958081*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8125927?\nAnswer: 8125927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -7, 1 in increasing order.\nAnswer: -7, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 335894.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 12. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-21 + 100 + -4)) + 19\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 72225.79 millennia?\nAnswer: 722257.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txfxftxxxt. What is prob of picking 1 x, 1 t, and 1 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 649 + -647. Differentiate -12*l**d + 78*l**2 - 4*l**2 - 111 + 3*l**2 - 41 wrt l.\nAnswer: 130*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1610 and 101\/53820.\nAnswer: 376740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 4*n - 3*n + (0*n + n + n)*(3 - 1 + 0)*(0 + 2 + 4) - 3 + 3 - 3*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1200036 + -0.12. What is j rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:10 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-2))\/((-12)\/16). Let n = 10 + p. Put n, 15, -1 in ascending order.\nAnswer: -1, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 702368 and 9340?\nAnswer: 3511840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.11352 centuries in months?\nAnswer: 44536.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, z: 5, f: 1, b: 2, c: 6}. What is prob of picking 2 c?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -3*b**4\/4 - b - 319. Let t(u) = -4*u**3 - 2. Calculate 2*t(j) - 3*v(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 75.7 and -9028772.\nAnswer: -9028696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 404*w\/9 + 20402\/9.\nAnswer: 2*(w + 101)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6675d - 1?\nAnswer: 6675c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + 7885\/(-95) - (268\/14)\/(0 - 2)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12300 and 1968?\nAnswer: 49200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -0.5, 56, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let l be v(4). Let s be -1 - (-3)\/(2 - 3). Sort s, 0, l.\nAnswer: s, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*o = 8159966, 2*l - 2*o - 3233369 = 4926603. Suppose -u - 5*b + l = -b, 4*u - 3*b - 16320009 = 0. What is u rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(2) - 4*sqrt(2)) + sqrt(80)\/(sqrt(20)\/sqrt(5)))\/((sqrt(484)*-1 - sqrt(484))*4 - -4*-2*sqrt(484)))**2.\nAnswer: 5\/69696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + (-13)\/(-3))\/(1\/6). Sort 0, i, 4, -3 in descending order.\nAnswer: 4, 0, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*t + 3 - 3 + 52*t.\nAnswer: 298*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -129*f**7\/7 - 217*f**5\/12 + 57*f**2. What is the third derivative of h(c) wrt c?\nAnswer: -92880*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x + 35. Let t be h(6). Let g(r) = -r - 4. Let f be g(0). Which is the third smallest value? (a) t (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdttdddddtdtdtdt. What is prob of picking 1 d and 2 t?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:36 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 10 = 5*d. Suppose 2 = 2*r - 4. Suppose r*i + d*i = 0. Which is the closest to -2\/3? (a) -5 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 31. Suppose 2*r + 21 = -v. Let m = r + 34. Sort -3, m, -2.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(x - 5*x + 2*x)*(-179 + 99 - 135)*(-x**3 - 3*x**3 + 0*x**3).\nAnswer: 3440*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikiikksxkiiisa. What is prob of sequence iks?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006498482 a multiple of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**3 - r**2 - 1739*r + 1738. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -170*4473882\nAnswer: -760559940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 53, 0.4, -1\/8, 6\/25, 1188?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1168, 5, 2, -3496?\nAnswer: 1168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v*v)**(-24\/7)*v**(-11)*v\/(v**(1\/4)*v)*v*v assuming v is positive.\nAnswer: v**(221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-10)*k)\/k)\/k**(3\/4))**(1\/5) assuming k is positive.\nAnswer: k**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/30 and -127\/2880.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12866710 is divided by 275?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -5, 3 in ascending order.\nAnswer: -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -137. Calculate the remainder when 350 is divided by v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/2 + (8979 - -38).\nAnswer: 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 8:03 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24200 = 21188*x - 10636*x - 10277*x for x.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/7 (c) 56\/43 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/10 and -141\/4940.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6031, -12355, -18679, -25003, -31327?\n\"Answer: -6324*y + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 14 - 4. Let i be -3*v\/3 + 5. Suppose 8*p + i = 9*p. Which is the third biggest value? (a) 2\/3 (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2418.\nAnswer: 1\/806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12103101 (base 4) to base 16.\nAnswer: 64d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22690*p**3 + 9555*p**2 = 0.\nAnswer: -1911\/4538, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 2. Let c(s) = -4*s + 1. Let r(w) = -3*a(w) - 5*c(w). Suppose 2*h + 0 = -6. Let q be ((-4)\/h)\/((-4)\/(-6)). Give r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.12, 2, 27?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 561, -1, -6 in ascending order.\nAnswer: -6, -1, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o + f - 2, 0 = -o - 2*f - 1. Solve o*a = 5*y + a + 12, -a + 2 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 191*w - 195*w - w**2 - w**2. Let v(i) = -i**2. Let k(j) = -j**2 - 14*j - 39. Let x be k(-10). Determine x*f(m) + 3*v(m).\nAnswer: -m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.52 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 132, 269, 420, 591, 788, 1017, 1284?\n\"Answer: x**3 + x**2 + 127*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274 + -146. Let c = v + -121. What is the highest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 70 = h, 2*d - 7*d + 119 = 4*h. Suppose 5*c - d = -2*a, 2 = c - 1. What is the second derivative of -3*s**4 - 2*s - s**4 + s**a - 10*s wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 20*k + 1 - 6 - 12. Let o be z(19). What is the biggest value in -1\/5, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194 + 573. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/16*-5*(-7)\/(-105))\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 0*w - 3*w)*((-1 - 1 + 1)*(-5 - 1 + 5) + 56 + 129 + 62) to the form a*w + r and give a.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -1 - 55. Let f = 17 + j. Determine m so that -10*m**3 - 35*m**2 - 17*m**f - 20*m + 17*m**3 + 5*m**4 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k - 36. Give m(14).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -2, 7\/5, 1\/3, -0.5, 0.3.\nAnswer: -2, -0.5, -0.08, 0.3, 1\/3, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 29252 - 8608 = 0. Let j = 0 + 2. Suppose 5*v = j*v + n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 10. Let w(n) = -n. Let r(h) = 4*h - 3. Let f(g) = -r(g) - 5*w(g). Give 20*f(l) + 6*t(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/18 and -103\/14726?\nAnswer: 132534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 6 = -31*c. Let d be c*(-2 - 6\/4). Put 0, d, -4 in ascending order.\nAnswer: -4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -24, -16, -8, 0, 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/7 >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (639*p**2 - 639*p**2 - 352*p**3)*(-2 + 3 + 1) to the form u*p**2 + o + y*p + l*p**3 and give l.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 31. Let i(l) = 15*l**2 - 11*l + 2. Let o(n) = 7*n**2 - 7*n - 1. Let a(z) = z + 1. Let j(c) = -2*a(c) - o(c). Give y*i(f) - 13*j(f).\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, -419659, 3, -2\/5, 2 in increasing order.\nAnswer: -419659, -2\/5, 3\/13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and 17\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21225150 (base 6) to base 4\nAnswer: 2120302122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.259 - 0.0437.\nAnswer: -12.3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091859896?\nAnswer: 2, 1447, 94321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + -10 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/5291 and -25\/3367.\nAnswer: 37037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2*u + 23. List the prime factors of d(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171.00000397 + 171. What is o rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/4 + w**4\/24 + w**3 - 6*w**2. Let f(a) be the first derivative of c(a). What is the units digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.1 - -39.3. What is the closest to -0.08 in r, -4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*l - 69*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 81*o + 0*o**2 + 0 + 0*o**3 + 1\/4*o**4. Let h(f) = -36*f**2. What is h(d(g))?\nAnswer: -324*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 5*k**3 + 2*k**4 + 6*k**3 + k**3 - 4*k**3 + 4*k**3 - 2*k**2 to j*k**2 + p*k**4 + z*k + h*k**3 + g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-2)\/(-24)). Suppose -f + 21 = -k. Let o = k + 20. Calculate the least common multiple of o and 19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5610533, 5610531, 5610529, 5610527, 5610525?\n\"Answer: -2*h + 5610535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2506552 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/26 and ((-15)\/(-8))\/5 - 7106\/4560.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 874632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2610131 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1364.553 months?\nAnswer: 11.371275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 42 = 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**0*q)\/q*q*q)**(22\/7)\/(q\/q**8*q*q*q**2\/q))**(-4\/9) assuming q is positive.\nAnswer: q**(-376\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**(-8\/13)\/x))\/x*x)\/x**(19\/2))**(3\/26))**(-29) assuming x is positive.\nAnswer: x**(15573\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10645 (base 9) in base 8?\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -312*a - 104.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - k + 12, 2*k + 14 = 2*l + 4*k. Let y = l + -2. Let p be -1 + y + 2\/2. Solve -3 = -4*c + 5*m + 5, c - 9 = p*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 5*x**2 + 9*x - 3. Calculate a(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3058*i**3 - 43594*i**2\/7 + 22970*i\/7 - 782\/7 = 0. What is i?\nAnswer: 391\/10703, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 + 26*f**2 + 2*f**4 - 40*f**2 + 2*f - f**3 to z*f + d*f**2 + m*f**4 + u + n*f**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -64324.\nAnswer: 55\/32162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2101 greater than -13\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694\/4403 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4786776 and 50463.\nAnswer: 33507432","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 435, 471, 525?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 495.3892176 to one dp.\nAnswer: 495.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353 + 3*m - 353.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let i(o) be the first derivative of 2 - 2*o**2 + o**2 + 0. Calculate i(d(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/8 + 779*q**4\/4 - 14285*q**3\/2 - 77811639*q**2 - 311154624*q - 311122944 = 0. What is q?\nAnswer: -1056, -2, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 4740*o\/11.\nAnswer: 2*o*(o - 2370)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17593*g - 487. Is k(-1) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1575.7 (b) 1 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 0 + (-1 + 3 - 3)*(0 - 3 + 4))*((4 - 2 + 0)*(-3*g - 2*g + 6*g) + g - g - 5*g) as u + m*g and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g**3 + 0 + 1\/20*g**5 + 0*g**4 + 8*g**2 + 0*g. Let l(b) = -2*b. Determine c(l(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3019096699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1138 divided by 14.\nAnswer: 569\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*d - 8568*a**2*m**3 + a**2 + 11921*a*d - 2*a - 20*d*m**3 + 2 wrt m?\nAnswer: -25704*a**2*m**2 - 60*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 16 - 18)*(-2*z + 2*z - 2*z)*(-1 + 6 - 2) + 3 - 2*z - 3 + (2*z - 2*z + 2*z)*(-1 + 2 + 1).\nAnswer: -208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -47*m - 48*m + 10001. Let c = 8 + 27. What is the remainder when m is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 22, -3, -5 in decreasing order.\nAnswer: 22, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**11 assuming f is positive.\nAnswer: f**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24865, -24874, -24887, -24904, -24925, -24950, -24979?\n\"Answer: -2*i**2 - 3*i - 24860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkjib. Give prob of sequence jib.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 265?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -13) + -1 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 - 21426*r**2 - 57480480*r - 515590272 = 0.\nAnswer: -5352, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-17010)\/2160)\/((-75)\/320))\/((-4)\/10).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 1 - (-3 - 6\/3). Let z be -2 + -1 - -4*1. Calculate the greatest common divisor of z and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327166?\nAnswer: 2, 663583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -149, -1708, -5953, -14234, -27901, -48304?\n\"Answer: -225*f**3 + 7*f**2 - 5*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2680*p + 1040. What is the hundreds digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84359\/120 - -703. Let z(a) be the third derivative of 0*a + 1\/60*a**5 + 0 + 0*a**4 - 3*a**2 + 0*a**3 - f*a**6. Find the third derivative of z(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**3 - 4*s**3 + 3*s**3)*(-16 + 17 + 15) + (-29*s - 6*s**3 + 29*s)*(-1 + 8 - 2) to f*s**3 + p*s + n + j*s**2 and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Suppose -6*z + 5*z = -111. Let m(r) = 37*r. Let b(g) = z*j(g) + m(g). Let s(f) = 2*f. What is s(b(n))?\nAnswer: -148*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4017.90804 + -4018. Round l to 3 decimal places.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**7\/168 - v**6\/24 - 3*v**5\/40 - 200*v. Find g such that n(g) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44515865209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3752*0.15928\nAnswer: 597.61856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*t + 2562 = -46*t + 144*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**11*v)\/v**5)**(-1\/36)\/((v\/((v*v*v**(2\/3))\/v))**(-42)\/(v**3*v**(-4))) assuming v is positive.\nAnswer: v**(-1051\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 33 = -4*g, 0 = 2*g + a - 17. Let r = g + -5. What is the first derivative of -1 + r*b**4 - 4*b**4 + 3 wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8557.506 centuries?\nAnswer: 855.7506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 - 9*h - 5. Let u be k(-6). Suppose -u - 89 = -3*l. Let f = 259 - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*m + 2*u - 0*u, -2*m - u = -8. Let n = -46.4 + -14.6. Let f = 60 + n. Which is the nearest to f? (a) 3\/4 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -105773, -846280, -2856257, -6770438, -13223557?\n\"Answer: -105789*o**3 - o**2 + 19*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 12, 6*m - m = -5*a - 15. Suppose 9*x - 11*x = a. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16 + 10\/5). Factor 1\/7*j + l*j**2 + 1\/7*j**3 + 0.\nAnswer: j*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -243, -241, -239?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64825.32 millilitres to litres.\nAnswer: 64.82532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 44 = -50 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Is (-3)\/(-6)*j*-79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2873 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.1 and -0.253.\nAnswer: 0.7843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2*j + 92002*b**2 + 3*b*j**2 + 14*b*j - 114*b - 1543*j**2 wrt j?\nAnswer: 3*b**2 + 6*b*j + 14*b - 3086*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027048068 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -14. Suppose 8*b = 2*b + s. Sort 0, b, -4.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 100950, 403791, 908522, 1615143?\n\"Answer: 100945*q**2 + 6*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -21 + 31 + 9*r + r**2 + 9*r**2 + r**3. Calculate the least common multiple of a(-9) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1695 - -0.8305. What is the biggest value in g, -2\/3, -15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2 - -2)\/((-1)\/38). Suppose v*a + 28 = 47*a. Solve -c + 4 + a = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 911a690 - -14?\nAnswer: 911a6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -259 and -2069\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, -5, -227328 in increasing order.\nAnswer: -227328, -5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12\/(-24))\/(-2*2\/11872)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9418, -18810, -28202, -37594?\n\"Answer: -9392*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9aa546 (base 14) to base 6\nAnswer: -304331414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377 and 107831?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/9964 and -7\/4.\nAnswer: 9964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let k(z) = z - 9. Let o be k(7). Let n = 5 + o. What is the greatest common factor of l and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4016761.\nAnswer: 7, 29, 47, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279054.2 millennia in centuries?\nAnswer: 2790542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 - 2*b - 1. Let f(g) = 4*g**3 + 22*g**2 + 12*g + 7. What is f(t) + 6*l(t)?\nAnswer: -2*t**3 + 16*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 71 = -83. Let v(g) = 36 + 12*g + g**2 + 0*g**2 - 13. What are the prime factors of v(f)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + 7 - (-13 + 28)) + -16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131\/7 - 19. Which is the closest to 1? (a) f (b) 2\/7 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46077*k + 204 = 46083*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 15. Let u be t(-6). Let m(h) = 4*h**2 + 2*h - 3. What are the prime factors of m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163395 equal to 163394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90704 is divided by 6478?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -2, 2\/9, 4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8. Suppose z = -u + 26, w*u - 130 = -5*u + 3*z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3509392894 to the nearest integer?\nAnswer: 59240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 2*o**2 - 22*o - 32*o + 0 + 1.\nAnswer: 2*o**2 - 53*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.4. Let d = 786.07 - 791. Let f = 0.07 - d. What is the nearest to 1 in -1\/6, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:44 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(2\/83)\/y)\/y*y))\/(y*y*(y*y**(-21)\/y)\/y*y) assuming y is positive.\nAnswer: y**(1741\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = n - 250. Solve -2*s - 3*q + 13 = 0, 5*s + 9 = n*q - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 10) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-20))\/((-12)\/8))\/(21\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, p: 3, f: 5, b: 2}. What is prob of sequence zbfz?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 287, 149, 25, -79, -157, -203?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2425495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/(136\/(-170)*70\/28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1134) - sqrt(1134))*4)\/(sqrt(175) + sqrt(175)*-2 - sqrt(175) - ((sqrt(7) - (-2*sqrt(343) - sqrt(7))) + sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.038 + 0.238. Which is the second smallest value? (a) 0.3 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000077742 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5777*324\nAnswer: 1871748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*v - 3*u - 77, 3*u - 12 = 0. Let i = v + -24. Suppose -i*r + 24 = -9. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40763237, 81526431, 122289623, 163052813, 203816001, 244579187?\nAnswer: 285342371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - (-28)\/(-4)) + 201 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 4*j**2 - 6*j)*(-1 + 1 - 2)*((0 - 1 + 2)*(-j + 2 - 2) - 2*j + 3 - 3).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**2*v**2 + 1464101*t**2 + 24007*t - 175*v**2 wrt t?\nAnswer: -2*v**2 + 2928202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*8\/(-12)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, -1 in decreasing order.\nAnswer: 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - 142\/(-6). Is 56\/s*24*2 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 + 3.78. Which is the smallest value? (a) z (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 15*j**2\/2 - j - 9. Suppose 94*a + 4 = 98*a. What is s(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17837938 and 49098?\nAnswer: 2622176886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 54. Let m be w(117). What is the highest common factor of 451 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 13 = 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 11) to base 15\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.063344 (b) 3 (c) -1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 2*a - a + 4*w, -549 = -4*a - w. Calculate the highest common divisor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/14 - 3\/(-6). Are b and 80 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*1\/(3\/((-12)\/10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:24 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = 4*d - 4*f, 0*f = 2*f + 12. Calculate the highest common divisor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170442 and 2912.\nAnswer: 18727072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703551 - -0.2.\nAnswer: 703551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -19*o + 308. Let y be f(16). Solve -y*k = -6*k + 4, 5*z = k + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-46 - (59 - 151)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 7:31 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 558875 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-218)\/8 - (4 - -1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.35 (b) -1\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23784 and 1254?\nAnswer: 4970856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:09 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31113.\nAnswer: 3, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 4*r + 48. Let d be 54\/14*1 - 1758\/2051. Solve -j + 7 + d = -2*z, -31 = 5*z - r*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:37 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -989665, -5\/3?\nAnswer: -989665","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/21 - ((-7)\/(-14))\/(210\/(-156)). What is the closest to -8 in 0, 0.4, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 47800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -158. Let w(l) = l**3 + 35. Let m be w(0). Let y = s + m. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 98 - 72. Calculate the remainder when 197 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, -47 in increasing order.\nAnswer: -47, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(320) + -1*sqrt(320) + -4)**2 + 6*(5 + sqrt(20) + (sqrt(320))**2).\nAnswer: 12*sqrt(5) + 1963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 48 = 4*n, 2*d = 2*n + 3*d - 9. Suppose -10*q + 42 + 58 = 0. What is the smallest common multiple of q and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 9:34 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**2*s**3 - 3*o**2*s + 22*o*s**4 - 42*o*s**2 + 3*s**4 wrt s?\nAnswer: 6*o**2 + 528*o*s + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 52. Let f = -10 + p. Is -11 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -395, -9, -1\/2835?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 y when four letters picked without replacement from {z: 2, b: 3, y: 2, o: 6, f: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 17*g - 5*g - 11*g)*(1 - 1 - 2).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26020, -1283, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.015, -1, 0.04, -0.0139?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-6)\/(-12)). Factor -8*a - 4*a**3 + j*a**2 - 4*a**4 - 4 - 8*a + 15*a**3.\nAnswer: -(a - 2)**2*(a + 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88.0000083 + 88. Round d to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 17. Let g be d(-14). Suppose -g*b = 4*i - 27, -2*i - 4 = -4*b + 2*b. Suppose b*v = 164 - 24. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.002?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (10 - (-7 + 4) - (24 - 18))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 159 = -5*p - 31, 72*f - 73*f - 290 = 8*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 761154 and 72817066?\nAnswer: 218451198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 l when three letters picked without replacement from {x: 1, j: 1, l: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 2*g + 296*g**2 - 11 - 295*g**2 - 7 as f*g**2 + m*g**3 + q + n*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0. Let b = 0.029 + -5.029. Sort b, -0.4, p in increasing order.\nAnswer: b, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 769776?\nAnswer: 769776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o + 2\/15*o**6 + 0 + 0*o**5 + 0*o**3 + 0*o**2 + 1\/3*o**4. What is the third derivative of z(t) wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1715*b**3 - 2172 wrt b.\nAnswer: 5145*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2\/5*d**2 + 0 - 2\/5*d**4 + 0*d + 4\/5*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 12) to base 2.\nAnswer: -1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-16))\/((-35)\/(-413)) and -73\/398.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n + 27*n - 73 + 473 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/40255 - 2777563\/1288160. Find the common denominator of g and -41\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 5*t - t)*(-3 - 1 + 2)*(-1 - 1 + 9) to z + n*t and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: d1915 (base 16) to base 2\nAnswer: 11010001100100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2544*v + 2616*v + 1296 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - -3. Let z = b + -43.4. Let o = -2 + -1. What is the third smallest value in 3, z, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = -6*p. Find the common denominator of -12\/11 and (-1)\/p + 34\/24.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*h + 359. Suppose -3*c = -10 - h. Is 8 a factor of (36\/(-10))\/((-6)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 14 = -z, -2*m = -5*z + 3*m + 40. Let o be (-14)\/35 - (-437)\/z. What is the second derivative of -29*j + 87 + 9*j + 14*j**4 - o wrt j?\nAnswer: 168*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:23 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 62*q**2 - 3*q + 3. Let i(s) be the first derivative of -61*s**3\/3 + 2*s**2 - 4*s - 5993. Determine 3*i(k) + 4*n(k).\nAnswer: 65*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22c2 + 4?\nAnswer: -22bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 1. Let c be 1*-9 - (-570 - -10)\/56. Let j(g) be the third derivative of -g**5\/30 - g**4\/24 + g**3\/2 - g**2. Give c*j(r) - 3*h(r).\nAnswer: -5*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147 + 144)*(-2)\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*381 + 3 + -1. Suppose 3*t + 5*z - v = 0, z + 178 - 699 = -2*t. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**2 - 23*h - 4. Let d(p) = 16*p**2 - 45*p - 7. Calculate 4*d(b) - 7*f(b).\nAnswer: b**2 - 19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 19*y**2 + y**3 - 31*y**2 + 0 - 2 + 18*y**2 + y. Let l be c(-6). Which is greater: -7 or l?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(68)\/(sqrt(12)\/sqrt(3)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 45 = -u, 0 = -4*u + 20. Suppose 0 = p - 6*p + n. Suppose -3*z + p*w = -62, -4*z - 10 + 62 = w. Solve 3*x - 8*x - 10 = -c, z = -4*c + 2*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 7*q + 1. Let f be x(-7). Let b(v) = -4*v + 1. Let s be b(f). Let r(z) = -2*z**2 + 11*z - 5. Let t(c) = c**2 - 5*c + 2. Give s*r(y) - 7*t(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*w = 144*w - 52206 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*l + 4*l - 3*a, -2*a + 16 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46052258 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(48) + (sqrt(48) - sqrt(192)\/sqrt(4)) + sqrt(3)))**2*3 + -4.\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16))\/((-2)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/12 - v**2\/2 + 2*v. Let j be o(-1). Suppose l + l = -3*g - 10, 4*l + 16 = -5*g. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 87.6 from -486308.\nAnswer: -486395.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/2)\/((-34)\/34) - 4. Suppose 270 = -d*n + 41*n. Which is smaller: 0.8 or n?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 16. Suppose -1 - 3 = 4*v. Calculate the remainder when v\/(-2*(-1)\/(-26)) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*w**4 - 11*w**4 - 57*w**4 + (-3*w + 8 - 8)*(-3*w**3 + 6*w**3 - 2*w**3)*(1 + 4 + 0).\nAnswer: -58*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 4. Let l be w(-3). Let o(a) = -17*a**3 - a**2 + a + 1. What are the prime factors of o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 10*b + 1. Let c be v(9). Let w(p) = p**3 + 9*p**2 + 8*p + 6. Let k be w(c). Does 9 divide (k\/(-4))\/((-12)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1\/8, 2\/3, 5\/3, 28876.\nAnswer: -5, 1\/8, 2\/3, 5\/3, 2, 28876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (6 - 66\/(-18)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-18)\/12 - (-707)\/2. Suppose -3*s + 5*s - 88 = -b, 0 = 4*b + s - z. What is the remainder when b is divided by 2\/(142\/46 + -1 + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38178586?\nAnswer: 2, 19089293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**7\/840 - o**5\/30 - 3*o**2. Let f(d) be the third derivative of k(d). Let z(y) = -y. Calculate z(f(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653254*v + 326611*v - 161 = -326595*v + 5119 for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfgqq. What is prob of picking 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669387 is divided by 128410.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*z + 130 = -3*z, 3*q + 5*z - 78 = 0. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (5 + -18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 80, -70, 4, -2\/9 in increasing order.\nAnswer: -70, -2\/9, 0.1, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 755182.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4139083 rounded to 1 dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 3 (c) 169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 89297212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*t + 105*t = -493. Let z(h) = 3*h - 1. Let c be z(-3). Calculate the remainder when t is divided by ((-8)\/(-5))\/((-2)\/c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21567 - 1202?\nAnswer: -22771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.012153 to 2 dps.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 + 4 - -1. Let w(p) = -p + 9. Let k be w(7). Let x(s) = -s**2 + 2*s - 3. Let v be x(2). Put c, v, k in decreasing order.\nAnswer: c, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/150 - o**4\/30 - 11*o**2. Factor q(c).\nAnswer: 4*c*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 3*z + 11. Let t be y(-5). Suppose 7 + 3 = 2*g. Let p = 12 - g. Calculate the highest common divisor of p and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 551 - 550. Put y, 2, -0.1 in ascending order.\nAnswer: -0.1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7313783 is divided by 776.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -91*b + 637. Determine g(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 79. Suppose -x*h = 1 - 49. What is the least common multiple of h and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdzvi. Give prob of picking 1 i and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285562*p - 285581*p + 15 + 6 to the form g + t*p and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20255316 (base 7) to base 2\nAnswer: 110011101101101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 11*f**2 - 8*f**2 + 5 - 5.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*s + 36, -2*s = -5*x - 0*x - 45. Let a be (x + 12)\/((-6)\/(-110)). What is the second derivative of -2*b**3 - 24*b - 28*b + a*b wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3330dd (base 14) to base 13\nAnswer: -48a8c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = i + 4*g + 1, 15 = 3*i - 3*g. Suppose -j = i*j. Suppose j*u + 7 = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 4380.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = 5*m. Suppose 0 = t + 3*l - m - 0, 0 = -3*t - 2*l + 2. Let a = t - -2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 * -721896.8\nAnswer: 45479498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - -4 - -1 - 3. Suppose 5*l - 25 = x*m, 4*l - 3 = 1. Let u = 0.4 - 0.3. What is the third biggest value in m, -0.1, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 8:49 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2163 + 4413 - 2250 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -14 + (-3 + 0 - 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95 (b) 0.4 (c) -3 (d) 5 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.622 + -1.66. Let m = 0.138 + h. What is the nearest to -0.1 in -4, 7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + 1 = -2*s, -27 = 4*s + a. Let m = s + 8. Suppose -3*h + h + 132 = m. Is 33 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 48 = 10*r. Suppose -3*a - r - 12 = 0. Is 6\/8 - 3243\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 - 13*c + 4. Let f(u) = 26*u - 2*u**2 - u**2 - u**2 - 9 - 5*u**2. Let j(l) = -6*f(l) - 13*t(l). Is j(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1357a41 (base 12) to base 13\nAnswer: a4a373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98)*-1)*1*-1 + sqrt(224)\/(5*-1*sqrt(7)) + -4.\nAnswer: -4 - 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 10*j + 9. Let t be d(6). Let b(a) = -t + 3*a**2 + 34 - 13. Let y(u) = -4*u**2. Determine y(b(x)).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3384 - 3387. Let z be (7 + -1)*1\/34. Let h be 2\/11 + 51\/(-99). Which is the smallest value? (a) h (b) u (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 12. Suppose 15*r - 25 = -10*r. Let u(l) = -1. What is r*c(h) + 4*u(h)?\nAnswer: -2*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.049035 - 0.0501. What is x rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112222020111 (base 3) in base 8?\nAnswer: -3115424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 31*t**2 - 53*t + 34.\nAnswer: (t - 17)*(t + 2)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1703630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 436*l + 540*l - 5 - 1097*l. Let o = -24 + 23. Calculate the remainder when q(o) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 21*m**4\/4 - m**2 + m - 409. Let x(z) = -2*z**2. What is q(x(v))?\nAnswer: 252*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 15*w - 7. Let t(j) = j**3 + 19*j**2 - j - 5. Suppose -30*p - 233 - 337 = 0. Let q be t(p). What is s(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d - 319 = -2*h - 28*d, d = h - 147. Suppose -7*x + 70 + 210 = 0. What is the lowest common multiple of h and x?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -18904*y - 65. Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-81)\/3)\/(-3 + 6 + (-252)\/77) and 6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*u = -97*u - 1279080. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 4*r**3 + 2*r**3 + (-3*r**2 - 2*r**2 + 4*r**2)*(2*r - r - 3*r) - 2*r**3 + 0*r**3 + 4*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7955.\nAnswer: 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 8 = -12*p, -u + 12459 = -4*p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000071131 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2292569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12908*d - 9317*d + 1757*d.\nAnswer: -20468*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.8 + 52. Which is the closest to -0.1? (a) -1 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.091 - -5.809. Let t = -0.9 - 0. Let u = h + t. What is the nearest to 1 in -4, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 5*f**2 - 5*f - 2. Let p be o(-3). Suppose -3*z + p = 4. Let c be (2\/z)\/((-2)\/4). What is the nearest to 1 in c, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 6*p + 9*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(24)\/sqrt(6)))\/(-3*sqrt(33)\/sqrt(3)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3033 = 54*z - 11547. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193 (base 10) to base 15\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -885a5899 + -5?\nAnswer: -885a58a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a + 2. Let q(x) = 18*x + 3. Suppose -8 = -v - 3. Let z(c) = v*y(c) - 3*q(c). Let s(w) = -2*w. Give -10*s(t) + 2*z(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17527.5 decades?\nAnswer: 175275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (4 - 4) - 4. Is 20*f\/(-6)*(-11697)\/(-56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.9913896 and 15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/45)\/((-30)\/(-1000)*2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1878534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 23*b**2 - 24*b + 10. Let f be n(-24). Let u = f + -79. Let h = -59 - u. What is the smallest common multiple of 58 and h?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m*q*z**3 - 2*m*q*z**2 + 17*m*z**2 - m*z + 23083*q*z + 472*z**3 - 2*z wrt q?\nAnswer: -3*m*z**3 - 2*m*z**2 + 23083*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7152\/(-216) - -33)\/((48\/(-27))\/4). Let q = -1361\/24 - -169\/3. Which is the fourth smallest value? (a) -24 (b) q (c) i (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 840 - 556. Let v = d - 395. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/(1\/(-8)). Let u = 90 + -84.3. Let t = 5.9 - u. Which is the closest to -0.1? (a) 5 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3528762 is divided by 882026.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 28126*t\/5 + 2360716.\nAnswer: 2*(t + 433)*(t + 13630)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 - 5*u + 11. Let k(z) = -3*z**2 - 3*z + 5. Let x(s) = -5*k(s) + 2*y(s). Determine x(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/31, -0.3, -12\/5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14034818377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 3*v**2 - 5*v + 17. Let j be g(4). Let i = -249 - j. Let n(a) = a**2 + 6*a + 3. Determine n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 2008*b**2 - 2008*b**2 + 4*b**3 + b**3 + 7*b**3 - 6*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2497)\/(-1135)*2\/22.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooioocoiocoicooooi. What is prob of sequence oic?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*a = 90*a - 98*a + 10008 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -77. Let u = v + 5. Solve -8*t + 4*t - u = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, -133, -134?\n\"Answer: -c - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.692324 less than 83536700?\nAnswer: 83536700.692324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 237*g - 133*g. Suppose g + 4\/3*i**4 + 2*i**3 + 1\/3*i + 1\/3*i**5 + 4\/3*i**2 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 12:54 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.7704242 to one dp.\nAnswer: -45.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 187 = -0*o - 5*f, 0 = -o + 5*f + 53. Suppose -4*u - 5*a = -2*a + 169, -u - 44 = -a. Calculate the common denominator of u\/(-2)*4\/(-10) and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00419947 rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 335143 - 434?\nAnswer: 334305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -38*s**4 - 194*s**3 - 206*s**2 - 70*s + 2. Let h(l) = l**4 + l**3 - l**2 + 3*l - 1. Let f(n) = 2*h(n) + v(n). Solve f(j) = 0 for j.\nAnswer: -4, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 5 (c) -20186357\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201 + -215 + (-29 - -1) + 87.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:27 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -305 + 292. What is the smallest value in q, 2\/13, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 1. Give b(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, -706, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -554 - -821. Let x = 317 - l. Calculate the greatest common divisor of 25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 197\/(-9) - (-2)\/(-18). What is the common denominator of 52\/55 and j\/(-8) + -2 - (-361)\/(-60)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*k - 114, 2*g + 3*k - 119 = -0*k. Let l = g + -52. Let x be 8\/(4\/(-2))*(-3)\/l. Solve 0 = x*o + o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -54?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i - 3, 4*a + i = 44. Let p = a - 2. Suppose -17*m + 10 = -15*m. Calculate the remainder when p is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*13.8.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d - -34c?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 154*z**2 - 63*z**2 - 94*z**2. Let l(h) = 8*h + 11. Give l(r(x)).\nAnswer: -24*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11721029 from -0.05524547.\nAnswer: 11721028.94475453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 + 324*i**3 + 979*i**2 + 654*i = 0.\nAnswer: -2, -1, 0, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -12. Suppose -7 - d = -4*u. Suppose -8 = 5*b - 18. Solve -b*r + u = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-25))\/(-6)*140\/(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 11*z**2 + 13*z - 2. Suppose 5*d = 3*d + 150. Let p be ((-2)\/3)\/((-5)\/d). Is f(p) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 1:30 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 10110234.\nAnswer: 10110234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 + 4*n - 9. Let a(z) = -2*z**2 - 3*z + 6. Let f(w) = -8*a(w) - 5*h(w). What is the remainder when 16 is divided by f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5025 (base 6) to base 4\nAnswer: 101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 + 527. Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 15, e: 3}. What is prob of picking 3 c?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2)*(4 - -1). Suppose -3*o = 3*i - 9, -7 = -s*o + 3*o - i. What is the tens digit of 0 + (-3 + o - -26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k**2 + 1 + 19*k**2 - k**3 to the form s*k**2 + t*k + p + u*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 10*n - 3*n = 171. Which is greater: n or 252\/31?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - v - 3, -18 = -2*w + 3*v + v. Let q be ((-33)\/9)\/(w\/(-21)). What are the prime factors of -4*2*q\/(-14)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-114)\/(-76)*4\/33 - 7\/(-22). Which is the closest to u? (a) -0.5 (b) 6\/55 (c) -1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168385?\nAnswer: 5, 7, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 3.2. Let q = k + 2. Let v be (0 + 2\/(-20))*4. Which is the closest to v? (a) q (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 + 5*f + 1. Let q be g(-6). Let s(x) = -2*x**2 - 4*x + 5. Let a be s(-4). Let m = q - a. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47201*u**2 - 21359504 wrt u.\nAnswer: -94402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 2*u + q + 28, 3*u = -3*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -791, -3212, -7223, -12806, -19943, -28616, -38807?\nAnswer: -50498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -398 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/40056 and -19\/13352?\nAnswer: 40056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**2 - 204*p - 59. Let j(u) = 3*u**2 - 68*u - 20. Let w(z) = 11*j(z) - 4*t(z). Let m be w(6). Solve 0 = -9*f + 2*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 535*j + 2345*j - 842*j + 16 - 16 to k + s*j and give s.\nAnswer: 2038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 4, 20, 54, 112, 200, 324?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -22. Which is smaller: -1\/14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 1 + 3. Let m be y\/(-7) - (-184)\/7. Suppose 2*v = 5*w - 1 + m, 3*v = 2*w + 10. Solve 0 = 3*b - v*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/13))**15\/((y\/y**(5\/16))\/(y**(-3\/7)\/y)) assuming y is positive.\nAnswer: y**(-8121\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 853 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 + 93*w**2 + 624*w - 720 = 0.\nAnswer: -20, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 0*t**3 + t**3 - 2*t**3 + t**3 - 2*t**3 + (t + 0*t - 2*t)*(-4*t**2 + 4*t**2 + 2*t**2) + 3*t**3 + 2*t**2 - 2*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + u = 0. Sort -0.5, u, -2, -3 in ascending order.\nAnswer: -3, -2, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-53)\/5)\/((-4851)\/(-735)) and 99\/32?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 6*a**2 - 5*a - 5. Let h be c(5). Let i(d) = -d**2 - 7*d - 16. Let r be i(-3). Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 35*d - 12. Let p be x(-12). Suppose p = w - 594 + 236. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 18. Which is the biggest value? (a) 3\/4 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4 - 1584*r**3 - 207495*r**2 + 421350*r = 0. What is r?\nAnswer: -265, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*y = 73 - 25, -4*y + 26 = 2*z. Suppose -18*s = -z*s - 357. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 6*o - 2. Suppose -a + 11 = -2*a - 2*i, 2*i + 21 = -3*a. Let x be g(a). What is the second derivative of 3*l**4 + 9*l**x - 9*l**3 - 3*l wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -g - 26. Let h(v) be the first derivative of 0*v - g + 1\/2*v**2. Let w(q) = 2*q**2. What is w(h(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 148, 129, 108, 85, 60, 33?\n\"Answer: -y**2 - 16*y + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228886.\nAnswer: 2, 7, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/21)*n)\/n)**(-7\/5))**(1\/16) assuming n is positive.\nAnswer: n**(-1\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -19.6 (b) -1613 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1872 = -90*j + 19*j - 1039 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 1 - a**2 + 120*a**4 + a**3 - 122*a**4 to d*a**2 + q*a**4 + x*a + j + b*a**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18282 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -240*z**2 - 11*z + 9. Let o(f) = 360*f**2 + 16*f - 13. Let p(s) = 5*o(s) + 7*u(s). What is the remainder when p(1) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/20 + (-4)\/(-10). Let k(b) be the third derivative of -b**5\/60 + 13*b**4\/24 - 11*b**3\/6 + b**2. Let f be k(12). Sort o, 0, f in ascending order.\nAnswer: o, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2\/7 - 27156*m\/7 + 844719\/7 = 0.\nAnswer: -9083, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 6. What is the smallest common multiple of 7 and g(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717*j + 42312 = -635*j. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 194*f**2 + 252*f - 28399. Determine h(-196).\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 + 27 + 181*p - 168*p wrt p?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 24 + 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1440 - -2419. What is the highest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j - 228. Let t(a) = -2*a - 1. What is the lowest common multiple of t(-4) and c(25)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -216. Suppose -5*x = 4*p - 145, -k = -5*x - 5*p - 61. Let v(u) = u**2 + 3*u - 1. Calculate the remainder when x is divided by v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006151594238 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.982 + -0.018. Which is the nearest to 2\/3? (a) w (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 54 + 2*o - 17 + o + o - 5*o + (2 + o - 2)*(2 + 1 - 5).\nAnswer: -3*o + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -106\/18375 and -51\/309925.\nAnswer: 4648875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1551 = 2*t, 5*g = -23 + 8. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-44)\/15312*29)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.08, -0.5, 2\/5 in ascending order.\nAnswer: -0.5, 0.08, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176848, -176837, -176814, -176773, -176708, -176613?\nAnswer: -176482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -24*n**3 + 2*n**2 - 2*n - 4. Let g(x) = -x**2 + 22*x + 2. Give 2*g(z) + r(z).\nAnswer: -24*z**3 + 42*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/12)\/(6\/(10 + -7))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/546 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*r - 14089 = 122*r - 3573 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 34 + 262 + m**3 + 0*m**3.\nAnswer: m**3 + 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*r = -243*r + 21. Does 65 divide (r\/(-2))\/((-5)\/(-3390))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 74232*k. Let f(q) = -9*q - 1. What is f(j(u))?\nAnswer: -668088*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = -3*f, m - 2*f = -0*m + 14. Suppose 4*d + 2 - 62 = m*z, -3*z - 30 = -2*d. Let r = d - 8. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + 3)*(-2*c - 2 + 2) + c + 2*c + 0*c)*(3*c**2 - 59*c**2 + 8*c**2) to j*c**3 + q*c**2 + k*c + w and give j.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-6))\/((-48)\/144). Solve -g + 21 = -k*a, g - 2*a = a + 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 18*f - 248. Let z be (-7)\/f*1\/2*-4. Solve z = -3*p + 5*w, -4*p + 6*w = w - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 - (0 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*h + 3*h, 2*z = -4*h - 8. Let g(s) = -s**2 - 7*s - 1. Let b be g(z). Solve -b*d = -3*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*n - i, -3*i = -4*n + 2*i + 52. Let w = n + -21. Is 13 a factor of w\/(-20) - 213\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, -11, -3223?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29086357051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + f - 1. Let m = -72 - -81. Let y(r) = 12*r**2 - 9*r + 6. Let g(c) = c**2 - 5*c + 5. Let i be g(4). Let o(z) = i*y(z) + m*t(z). Factor o(n).\nAnswer: 3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*m - 4, -189*m - 8 = -5*i - 183*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 14*x**4\/11 - 18*x**3\/11 - 24*x**2\/11 + 8*x\/11 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1294765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*p*x**3 + 4*p*x - p - 7*x**4 - 2*x**2 wrt x.\nAnswer: -72*p - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 72, 69, 66, 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150282)\/5016)\/99 - 2\/(-8)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 81*n**2 + 12*n + 58. Let k = 169 - 173. What is the thousands digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4110 + 8*v + 4110)*(-2 + 46*v - 23*v - 50*v + (2 + 3 - 4)*(0*v - 2*v + 0*v)) - 4*v + 4*v + v**2 to the form w*v**2 + g*v + u and give w.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-56)*14\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 170. What is the remainder when 181 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 116 - b + b.\nAnswer: -4*b + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172420338.98 + 763.\nAnswer: -172419575.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*a - 593, 5*l - 3*a + 28 = 776. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 14 - 29*c**2 - 3*c**2 - 2*c**2 + 2*c**2 + (-4*c - 2*c**2 + 4*c)*(-295 + 182 + 207).\nAnswer: -220*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 18 and 12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*h = -213643 + 206086 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 3204*l - 7 - 7 + 17.\nAnswer: -3204*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101960603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/6 - 10688107*k\/6.\nAnswer: -k*(k + 10688107)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 1213?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 2*w + 15 - 23. Let k be d(6). Let o be (-2)\/k - 0\/(-5). Solve -2*m = -5 + o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/2016*-2)\/(6\/(-63)*3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33719, -33706, -33663, -33572, -33415, -33174?\n\"Answer: 3*v**3 - 3*v**2 + v - 33720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -9. Suppose -3*z = -4*s - n + 12, -4*s = -5*z - 12. Solve 0*y = -s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**3 - 6*i. Let a(b) = 0 - 1 + 6*b**3 + 1 - 5*b. Let p = 124 - 90. Suppose 5*x + y + 3*y + p = 0, 29 = -5*x + y. Calculate x*a(l) + 5*o(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 11*i - 26. Let j be n(4). Let g = -3 - -2. Which is the smallest value? (a) 3 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10221 (base 5) to base 8\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 48 - 16 = 0. Let t = w - 319\/5. Let k = -0.3 + 0.4. Is k greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.4 (c) 29 (d) 189.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:13 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 2*v**2 + 8*v - 2. Suppose 3*n - 13 = -4. Let t be c(n). What is the highest common factor of 290 and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*i - 4 = 0, -4*k + 0*k + 14 = -3*i. Suppose 331 + 317 = k*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-8 - 2 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 12) to base 16\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o**(6\/7))**(-1\/22) assuming o is positive.\nAnswer: o**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67 - 44 + 50)*(-m**2 - 2*m**2 + m**2) to x*m + v*m**2 + l and give v.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 14 = -5*v, 0 = -5*v - 2*y - 9 + 35 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 442?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -937 + 937 - 228*o**2 to the form h*o**2 + y + a*o and give h.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 20 = 5*x + 4*z, 22 = 5*x - 4*z. Let p(n) = 11 - x*n - 2*n + 4*n + 5*n. Suppose 17 = -3*y - 1. Determine p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 4*r + 7. Let v be t(6). What is the units digit of v\/(-25) + 28\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -39.579095\nAnswer: 23.579095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36467 (base 8) in base 12?\nAnswer: 909b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + -131 + 96 + 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/(-513)*5\/(-15). What is the smallest value in 1, q, -5, -1\/5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480417 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 256\/5 in 3, 0.7, -0.01, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 972 = 5039. Let r = f + -403. Suppose 3*j - r = -3*y + 5*y, 2*j - 3*y = 127. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z = 19*z + 72. Let l(c) = -c**2 - c + 3. Let m = -76 + 73. Let q(d) = -d + 2. Determine m*l(j) + z*q(j).\nAnswer: 3*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 69, -1 in descending order.\nAnswer: 69, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -61, -104, -187, -322, -521?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 20*d**2 + d**2 - 18*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -44, 0.209, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/3 + 720334*z**2\/3 - 2881372*z + 8644152 = 0. Calculate z.\nAnswer: -720346, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 171. Let w be f(-17). Let k be 2*(5 + w\/(-14)). Solve k*p - 2*p - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 2 = 0. Solve p*b + 7 = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 72 = 4*y, 2*y - 2*p + 3*p - 32 = 0. Calculate the least common multiple of 3*(-2 + 1 + 7) and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3 + 17134*g**2 + 85620*g = 0. Calculate g.\nAnswer: -8562, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2 - 206. Let q(x) = -17*x**2 - 412. Let r(m) = 5*h(m) - 2*q(m). Let a(v) be the first derivative of r(v). Let l(i) = 9*i. Calculate l(a(c)).\nAnswer: 72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824392591 to the power of 1\/3, to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 9) in base 5?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3*(-11)\/((-154)\/(-14)))\/(-7)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-149)\/(-7) + (-2)\/7. Suppose -34*y + 157 = 21. Solve 3*o + y = -4*w - 4, w = 5*o + r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddpddddddd. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 + -18 + 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*z + 16, z = -2*y + 912 - 918 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4\/5 - 64*l**3 + 31372*l**2\/5 - 545848*l\/5 = 0. Calculate l.\nAnswer: -142, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 1\/8 (c) -2\/11 (d) -496 (e) -2\/835\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444323 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7404 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/8)\/(90\/(-72)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*x - 12270*c**2*x + 2*c*x + 100*x + 1 with respect to c.\nAnswer: 3*c**2*x - 24540*c*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2025172, -0.4, -3 in increasing order.\nAnswer: -2025172, -3, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27*-0.069\nAnswer: -1.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45895 times -141?\nAnswer: -6471195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -4*i + 0*i**3 + 0 + 1\/4*i**4 + 0*i**2. Let v(h) = 2*h**2. Give b(v(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -29*s - 49. Let i be y(-6). Let g be (-13)\/((-65)\/660) - 5. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 508*r**2. Let a(l) = -15*l. Calculate v(a(b)).\nAnswer: 114300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*h**2*z**4 + 154*h**2 + 2*h*z wrt z.\nAnswer: -1644*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 times 0.4?\nAnswer: -387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 79, 179, 319, 499, 719?\n\"Answer: 20*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 3, f: 3, p: 1, z: 2, l: 1}. Give prob of sequence il.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 33364030?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43.16*-291\nAnswer: 12559.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-245)\/10) - ((-984)\/280 + 3)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 15*o - 290 = 26*o + 1710 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -274952?\nAnswer: 1\/68738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 2*n**2 + 6*n. Let g(f) = f**3 + 3*f**2 + 7*f. Let l(j) = 4*j - 8. Let m be l(3). Calculate m*d(c) - 3*g(c).\nAnswer: c**3 - c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9535 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1850*l + 2*l**2 - 1850*l + 3 - 3. Let p = 7 - 13. Let s(o) = -3*o**2. Give p*q(m) - 5*s(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 252*i + 5292.\nAnswer: 3*(i - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 796*6151.89\nAnswer: 4896904.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (13\/4 - 1). Is 2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.265275kg in micrograms?\nAnswer: 9265275000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 7*d**5\/30 - 15*d**2. Let f(s) = 2728 + s - 2728. Determine f(w(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c**2 + c + 2. Suppose -2*g - 3*q + 4 = 0, 0*g + 2*g = 3*q + 4. Let x be t(g). Solve 2*n = x*n + 5*y + 10, 0 = 2*n + 4*y + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4779 and 66697317?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21012 (base 3) to base 9\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 113, -45, -16, 3 in increasing order.\nAnswer: -45, -16, -4, 1, 3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**3 - 1. Let y be k(1). Let r(m) = -m + 7*m - 2*m + 4 + m. What is the tens digit of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13777, -26509, -39241, -51973, -64705, -77437?\n\"Answer: -12732*x - 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(14\/3)*s*s**(-2\/5))**(-4) assuming s is positive.\nAnswer: s**(-316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (1 - (12 - 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2) - (sqrt(72) + 0)**2)*4 + -2 + sqrt(200) + (sqrt(200) + -1)**2.\nAnswer: -89 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 4 = -7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3168, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1103 or 1102?\nAnswer: 1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:20 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-26)\/(-4)*2. Let h = -12 + q. Suppose f - 4*f + 159 = h. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/27, -1, 4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 221, -2, 2729, 1, -15 in ascending order.\nAnswer: -15, -2, 1, 2, 4, 221, 2729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:00 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/16? (a) 9 (b) 4 (c) -1\/6 (d) 2\/3 (e) 0.0828\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*w + 1, 0 = 4*z - 22*w + 25*w + 4. Sort 4, z, 0, 1.\nAnswer: z, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50071, 100152, 150231, 200308?\nAnswer: 250383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.318815m to kilometers.\nAnswer: 0.000318815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)\/(6\/12). Is (-98)\/z - 6\/12 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 812, 5823, 19424, 45911, 89580, 154727, 245648, 366639?\nAnswer: 521996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/59 in -0.4, 0.7, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/9 (b) 18 (c) 5 (d) 33004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5746792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 12*f**2 + 40*f - 16. What is the hundreds digit of n(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142 and 0.022?\nAnswer: 3.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17*r + 219. Calculate a(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(6) - sqrt(60))\/sqrt(3) - sqrt(80)\/sqrt(4)*-4)\/((sqrt(484) + (2*sqrt(484) - sqrt(484)) + sqrt(484))*2 - 4*sqrt(484)*1).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390945305 to the power of 1\/2, to the nearest integer?\nAnswer: 37295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 13 = -t, -3*w - 2*w = 2*t. Let p(z) be the first derivative of -w + z**2 + 2\/3*z**3 + 0*z. What is the second derivative of p(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/10 + -9\/5. What is the biggest value in s, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x**3 - 4*x**2 + 20*x + 4. What is the lowest common multiple of u(-2) and 7?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 675, -5, -3, 3 in descending order.\nAnswer: 675, 3, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 a factor of 981858078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 132 = -22*l - 440 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/63137 + 694505\/126274. Factor u*n**2 + 0 + n.\nAnswer: n*(11*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119)*1 + sqrt(119) + sqrt(119))*-3)\/(-1*sqrt(1008) - sqrt(1008)) + (sqrt(17) + (sqrt(612))**2 + 5 - sqrt(17)) + sqrt(68)\/sqrt(196).\nAnswer: 10*sqrt(17)\/21 + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475468151?\nAnswer: 3, 491822717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111707.\nAnswer: 17, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 120. Suppose -s + n = 4*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 0.006, -1\/3, -1\/2?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 1.8. Let v = -11 + 8. Which is the biggest value? (a) l (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1861618232 to the nearest integer?\nAnswer: 43146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c - n + 2, -2*c - 4 = -2*n. Is 8 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1633 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 289 + -284. Let w(a) = -3*a**2 - 51*a + 48. Let i(y) = -2*y**2 - 50*y + 47. Let h(u) = q*w(u) - 6*i(u). Factor h(x).\nAnswer: -3*(x - 14)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150*y + 12594 + 1206 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/4, -5, 3422?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 8:09 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1620 and -0.41976.\nAnswer: -1620.41976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 + -0.3. Let m = -0.25 + v. Which is the third biggest value? (a) m (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.79 + -0.21. What is the nearest to -0.1 in r, 0, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k\/(k*(k*k*k**13)\/k*k))\/(k\/(k**25*k*k)))**32)**(-3\/11))**(2\/15) assuming k is positive.\nAnswer: k**(-832\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4, q + 108 = i + i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyychhjrphhy. What is prob of picking 1 p and 1 h?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5 - 8*v**4 + 6*v**3 + 36*v**2 = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 - 108 + 30 + 33 + 4*a as d + o*a and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**2 - 2*c - 1. Calculate the remainder when h(5) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 5574786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4458 is divided by 194?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(68) + -1*(sqrt(68) - (sqrt(68) + sqrt(68) + 0)) + (sqrt(68) - (-1 + sqrt(68)*2)))*-5*5)**2 + -3.\nAnswer: -129378 - 7500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 4*sqrt(68))*4)\/(sqrt(20)\/sqrt(180)).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -9727, -32737, -77493, -151231, -261187?\nAnswer: -414597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 6:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5594011cm?\nAnswer: 5594.011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3444 - -3466. Calculate the least common multiple of q and 2748.\nAnswer: 30228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-10)*1*9080\/(-1362)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18846 - 18849. Let i(s) = s**2 - 3*s - 2. Let y be i(4). Let f(b) = -2*b**3 + 2*b**3 - 2*b**y - 4 - b**3. Calculate f(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/8 of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4993?\nAnswer: 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6387501*l**2 + 3*l + 23. Let f be q(-4). Let s be 25\/(-9 - -4) - f. Round s to the nearest 1000000.\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 18 = -7*t - 0, -2*u + 18 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 475\/258 - 44\/129. Which is the nearest to h? (a) -0.3 (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81748 by 3.\nAnswer: -81748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68787066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14707 is divided by 815.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + u - 36*u**2 - 6*u + 3*u + 69*u**2 - 32*u**2.\nAnswer: u**2 - 2*u - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 282 - 248 + 530.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3279637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019313113 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, g: 5, c: 3}. Give prob of picking 2 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -635, -1292, -2011, -2822, -3755, -4840, -6107?\n\"Answer: -5*v**3 - v**2 - 619*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:50 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (216*v - 530*v + 529*v)*(-v + 2*v - 2*v) + (0*v - 2*v + 0*v)*(-4*v + 5*v + v) + 9*v - 9*v - 3*v**2 to the form x + b*v**2 + p*v and give b.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1063 and 181898\/171 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3573661325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**4\/12 - 5*g**3\/2 + 5*g**2. Let j be c(-10). What is the greatest common factor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 4765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**7\/200 + 23*j**6\/600 + j**5\/10 + j**4\/10 - j**3\/3 + 37*j**2. Let d(m) be the first derivative of c(m). Factor d(p).\nAnswer: 3*(p + 1)*(p + 2)*(7*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, 101.\nAnswer: -4, -1\/4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138762919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 6 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118963988 by 403.\nAnswer: 295196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/2 - 3)\/((-6)\/106644) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**3*s**2 - 2*i**2*s**3 - 5*i + s**3 + 16*s**2 wrt i?\nAnswer: 42*i*s**2 - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 8, h: 1, t: 2, l: 3, w: 1}. What is prob of sequence jw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**2. Let d(q) = -29*q + 11. Let z(b) = 54*b - 19. Let h(a) = 11*d(a) + 6*z(a). Give h(w(f)).\nAnswer: 60*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.11658 grams to micrograms.\nAnswer: 60116580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 9:01 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-9\/4)*p**21*p assuming p is positive.\nAnswer: p**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 209*c - 204*c - 70, s + 2*c - 29 = 0. Let j be 2\/10 + (-158)\/(-10). Sort s, 0, -2, j.\nAnswer: -2, 0, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4302171 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*v = 18, 2*v = -4*g - v + 1. Let k be 0*g\/(-4)*-2. Suppose k*d + 5 = d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Which is the nearest to 1? (a) s (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**4 - 1. Let k(q) = -22*q**4 - q - 6. Let t(u) = -k(u) + m(u). What is the second derivative of t(h) wrt h?\nAnswer: 252*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10472524?\nAnswer: 2, 271, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*p - m + 35, -8 - 14 = 5*p - 4*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184838735 + -184838731.10999292. Let x = -3.89 + i. Round x to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 35*m - 104 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.74 and -6.909.\nAnswer: 88.02066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/300*3\/39. Let g(d) be the third derivative of 1\/156*d**4 + 0*d**3 + 0*d - 6*d**2 + i*d**6 + 0 - 1\/195*d**5. Factor g(q).\nAnswer: 2*q*(q - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12384024 (base 9) in base 4?\nAnswer: 113023333120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 8*i**2 - 4*i + 8. Let c be n(8). Let h = -20 - c. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/35*12*(-1)\/(-480)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 1. Let f be t(-1). Let l = f - 0. What is the units digit of (15\/(-6))\/(1\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9500*l. Let p be f(1). What is p rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/21 + 16*b**4\/21 - 118*b**3\/21 + 164*b**2\/21 + 88*b\/21 - 208\/21 = 0. What is b?\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 1858 - 304 = 24*s - 214 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1990688*n**5 - 1649*n + 103 wrt n.\nAnswer: -39813760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -2. Which is the nearest to 2? (a) n (b) -5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -4321*a**4\/6 + 1123*a**3\/6 - 18*a**2 + 51*a. Let j(k) = 2881*k**2 - 374*k + 12. Let z(l) = 2*d(l) + 7*j(l). Solve z(u) = 0.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q - 15 = 0. Let l = -0.012 + 23.012. Let f = -23 + l. Is q not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let a be (4\/6)\/((-4)\/(-6)). Let p(y) = -9 + 6 + 1 + y. Let m(u) = 1. Let w(h) = a*p(h) + 2*m(h). Give w(r(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6f717 (base 16) in base 14?\nAnswer: -bc4d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 26 = -74. Let b be 9\/2*(80\/(-12))\/j. Solve 2*v - 25 = -5*l, -4*v + 0*v - b*l = -29 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 1)*(1 - 1 - b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2*j*j*(j*j*j**2)\/j)\/(j**(-2\/3)*j)**(20\/11) assuming j is positive.\nAnswer: j**(244\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5 - -0.5. Let o = -13 - y. Let t = -71 - -143\/2. What is the biggest value in -2, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41526 - 166103\/4. Which is the closest to 0.2? (a) -2 (b) 0 (c) u (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.31 and 0.4.\nAnswer: -0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -4*a + 28938. What is a rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-1\/2)))**(-21)*b**2\/b**2 assuming b is positive.\nAnswer: b**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 31*a**2 - 4*a - 1. What is x(-3)?\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c)*(136 - 955 - 120 - 713 - 154).\nAnswer: 1806*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 83.5, 18408, 5 in descending order.\nAnswer: 18408, 83.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -37. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/20 - 17*o**4\/12 + 4*o**2 - 2*o. Let t be y(-17). Suppose 51 = r - t. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -320 - -325. Let g(b) = b + 3. Let f be (2\/(-4))\/((-11)\/(-66)). Let z(l) = l + 5. Give f*z(h) + r*g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 2*l + 1332. Let i = l + -221. Calculate the highest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-36) + ((-34)\/(-6))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 + 5*l**2 - 5*l + 5. Let h = 17 - 12. Let g(v) = -v**3 - v + 1. Let q(t) = h*g(t) - n(t). Find the third derivative of q(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 102, 215, 340, 483, 650, 847, 1080?\n\"Answer: u**3 + 106*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**3 - d**3 - 3*d**3 + (-4*d**2 + 6*d**2 - 3*d**2)*(-d - 2*d + d) to the form x*d**3 + i*d + n*d**2 + a and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -34802480 <= -34802489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*g - 3)*(g - 2*g + 0*g) - 4*g**2 + 3*g**2 + 0*g**2 + (-16*g - 26*g + 4*g)*(-2*g + g + 0*g) - g**2 + 1 - 1 in the form s + w*g + z*g**2 and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 3*a - 3. Let l be s(-2). Suppose -l + 30 = 3*p + 4*h, -4*p + 15 = -5*h. Suppose n = -5*w - p, 4*w + 0*n - n = -4. Are w and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - 71. Let d = -174.9 - z. Suppose -3*u + 4 - 19 = 0. Put 2, d, u, 1 in ascending order.\nAnswer: u, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*g - 32, -3*g = -2*t + 4*t - 4. Suppose -7*s = -t*s + 94. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1485486, -1485485, -1485482, -1485477?\n\"Answer: b**2 - 2*b - 1485485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + k - 2*k)*(49 + 42 + 84)*(-3*k + 8 - 8) as g*k + r + i*k**2 and give i.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 406 = 595. Let m(u) = 45*u**2 + u + 2. Let p be m(2). Let b = p + g. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 2)*(-660*o - 72426 + 72426).\nAnswer: -3960*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {b: 7, x: 1, g: 2, e: 1, l: 2, w: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 127*n - 626432 - 3*n**2 + 626430 + n**2 to the form p + m*n + r*n**2 + j*n**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 243?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -64, -116, -176, -238, -296?\n\"Answer: o**3 - 13*o**2 - 6*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 4. Suppose -5*y = 3 + 22. Let b = 7 + y. Solve -t + 3*g - o = 0, -3*t + b*t = -5*g + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -16*j**4 - 152532*j**3 - 9282560*j**2 = 0.\nAnswer: -9472, -245\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*x + 2 - 33 + 31.\nAnswer: -495*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = b - 3*p - 479, -5*p = -5*b + 2655. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 48, 69, 88, 105, 120?\n\"Answer: -p**2 + 26*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 + o + 6. Let f be i(0). Let m be f + (1 - -1) + -2. Let b be (48\/m)\/(4\/(-18)). What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 160 in decreasing order.\nAnswer: 160, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 12287*n\/3 - 16388.\nAnswer: (n - 12291)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y + 33*y = -128*y - 34*y - 9900 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/4080 and -55\/8.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44*(-8)\/(-308)*-6*-3*7\/(-12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d = 3*x + 19, -4*d + 14 = -3*x. Let s(y) = -2*y - 3*y**2 + 45*y**x + 2*y. Let r(q) = 2*q**2. Determine s(r(p)).\nAnswer: 168*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 - 88. Let o = g + 322. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfkaffarfkfkaf. What is prob of sequence rfra?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(252)\/(6*sqrt(42)\/sqrt(7)))\/(sqrt(30)\/(-5*sqrt(25)\/sqrt(5) - sqrt(5))) + 5.\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 952376 + -52376. Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 385, 853, 1503, 2425, 3709, 5445, 7723?\n\"Answer: 15*s**3 + s**2 + 360*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s + 21*s**3 + 15*s - 31*s - 18*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1679 + -0.3321. Let g = 0 + 0.1. Let t = -1 - -0.6. Which is the second smallest value? (a) g (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559119.12 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((-6 - -6)\/1)\/(3 + -7)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 972 and 84?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = 0, 0*z + 14 = z + 3*f. Suppose -3*n = -4*d - z, -d = 4*n - 1 - 32. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(15) - (sqrt(15) - (sqrt(15) + sqrt(960)*-4))))\/(sqrt(55)\/(-2*sqrt(11)))*-1.\nAnswer: 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45806 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 905507796 - 276849842. Let z = -628657913.99999996 + n. Let d = 40 - z. What is d rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1263)\/(-9) - 4\/3. Suppose -k - 226 = -5*o - 0*k, 3*o - 4*k = b. Suppose -2*d + 5*d - 8 = a, -2*d + o = 5*a. Solve -4*u = -a*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -144299, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**3 + 2*o**2 - 7*o + 8. Let p(j) = -6*j**3 - 3*j**2 + 6*j - 9. Let c(y) = 2*p(y) + 3*z(y). Factor c(n).\nAnswer: 3*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61289675 and 935?\nAnswer: 674186425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4380932 (b) -1\/6 (c) 6\/5 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -4, -5, 5 in decreasing order.\nAnswer: 83, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**7\/2520 - f**6\/240 - f**5\/30 + f**2. Let n(h) be the third derivative of u(h). List the prime factors of n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*t**3 + 28*t + 2 wrt t?\nAnswer: -1746*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - y - 2208 = 0, -4*b - 983 = -3*y - 2745. Suppose -n + b = 3*v + n, 4*v - 2*n = 594. Suppose z + 143 = v. Solve w = -1, -2*w + 0*w = -3*t + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(425)*1)**2 + 3.\nAnswer: -50*sqrt(17) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3619870?\nAnswer: 2, 5, 31, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 3*d**2 + 14*d + 19. Let j(p) = -4*p**2 - 15*p - 25. Give -3*j(o) - 4*y(o).\nAnswer: 4*o**3 - 11*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448 and 768?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p**2 - 103*p**2 + 36*p**2 + 3*p + 0*p + 32*p**2 + 6*p**2.\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 9*r**2 + 19*r - 10*r**2 + 6*r - 3*r.\nAnswer: -r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22666*l + 3*l**3 - 19*l**3 - 45679*l + 23013*l.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2006 and 227858?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -22*q**2 + 2330*q + 225. What is x(106)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21982441\/124698 - -1 - 1. Let q = 5\/17814 + r. Let j = -176 + q. Put j, -0.1, -5 in increasing order.\nAnswer: -5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15296 - -15459. Calculate the remainder when 707 is divided by b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 1\/7 (c) 5730.15 (d) 1\/4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 1, z: 1, g: 1, m: 1, e: 1}. Give prob of sequence sm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-18.6\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 62*i + 7542 = -67*i, -5*k + i = -37758. What is the thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 1093, 2467, 4391, 6865, 9889, 13463?\nAnswer: 17587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146098, 584690, 1315670, 2339032, 3654770, 5262878?\nAnswer: 7163350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 2*u**2 - 72966925*u**3 + 72967159*u**3 - u**2.\nAnswer: 234*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.100921 and 32080.\nAnswer: 32080.100921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 4, -2579, -6 in decreasing order.\nAnswer: 4, 2, 1, -6, -2579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-3\/14)))**(-6\/23)*o*o**(1\/4)*o*o*o**22 assuming o is positive.\nAnswer: o**(16225\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 18871777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000001111 + 1001110001000011?\nAnswer: 1010101001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -353393\/55 or -6424?\nAnswer: -6424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*o - 9, 3 = 4*o - 9. What are the prime factors of (-432)\/2*(30\/12 - r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 106*g**2 - 5*g - 4696. Let j(n) = -2*n**3 - 342*n**2 + 15*n + 14087. Let i(d) = -10*c(d) - 3*j(d). What is the first derivative of i(p) wrt p?\nAnswer: -12*p**2 - 68*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -500 - -500. Suppose t = 3*d - 3*q - 735, 202 + 37 = d + q. What is the remainder when d is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13178.7ml?\nAnswer: 13.1787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b**3 + 19064336*b**2 - 2523940152564*b - 2804401483560 = 0. Calculate b.\nAnswer: -10\/9, 264783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**3 - 15*r**2 - 4. Let a(d) = 7*d**3 + 15*d**2 + 3. Let s(l) = -4*a(l) - 3*m(l). Find the third derivative of s(k) wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(108))**2 - -5*(-2 + sqrt(300)).\nAnswer: 50*sqrt(3) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1016070?\nAnswer: -3048210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 705 - 5b7?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1287082?\nAnswer: -1287077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-4)\/2 - (-21)\/12). Let k = 55 - v. Calculate the greatest common factor of k and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let f(s) be the first derivative of -3 + 0*s**3 + 1\/6*s**4 + s + 0*s**2. Let a(l) be the first derivative of f(l). What is u(a(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - (3 + -1))\/2. Let n(m) = 6 - 6 - m**a + 5*m**2. Let p(z) be the third derivative of -z**4\/24 - z**2. Calculate p(n(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 22*g**2 + 42*g + 48. Let d be 9\/36 + (-243)\/12. Let k be t(d). Suppose 0 = l - k*l + 392. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16302 and 1170?\nAnswer: 244530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*k*w + 243*k - 2*w - 3573 with respect to k.\nAnswer: -32*w + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 2, 0 = 2*w - 5*p - 860. Suppose 10*y = 15*y - w. Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(3 - 1) + 0. Suppose -m = -n - 1. Let h(u) = 9*u**2 - 6*u**m + u - u. Let k(c) = -2*c**2. What is h(k(l))?\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 - 143. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {b: 2, z: 1, x: 1, t: 4, y: 2, r: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27729 + -4229?\nAnswer: 23500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18 + -16)\/((-4)\/(-10)). Suppose -4*x = y - 65. Let h = x + 50. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*w - 8*w + 4, 10 = 5*c + 5*w. Let j = -1 + 1.5. Let u = 0 + j. What is the third smallest value in -0.2, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3687 + -3683. Suppose -5*y = 2*c - 16, -5*c + 8 + 2 = 5*y. Suppose 5*q - 19 + y = 0. Solve -q*j - j - n = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304946.\nAnswer: 2, 7, 61, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 10, -2*d = -3*d - 3*q - 6. Suppose d*p - 4 = -2*p. Find the third derivative of 5*f**4 + f**4 + f**4 - 3*f**4 - 2*f**p wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) 3\/7 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.694041um to centimeters.\nAnswer: 0.0000694041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + w - 54 = 3*w, -63 = 5*m - w. Let y = m - -8. Let j(a) = -75*a + 7. Is j(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(216\/32))\/((-84)\/(-210)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 87.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 232 + 2. Suppose 2*x + 6 = 0, -5*s + c = -0*s + 2*x. Calculate the least common multiple of s and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 4:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -379d + -128?\nAnswer: -38c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1 - (-6698 - -6648).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 55, -5, 54, -2 in decreasing order.\nAnswer: 55, 54, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-15\/2))\/l)\/((l\/l**(-2\/101))\/l) assuming l is positive.\nAnswer: l**(1511\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 744443 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*10\/(-15). What is the tens digit of 1 + i\/5 + 662\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/17826 and 71\/3404766.\nAnswer: 3404766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5048530 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.2. Let l = -0.21 + -0.39. Let y = u + l. What is the closest to 0.1 in 0, y, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793250509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 75 = -141 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 361 = -125. Calculate the remainder when 1005 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*g - a, -10*g = -91*a + 93*a - 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -951 + 951 - 6955*g - 376*g in the form x*g + u and give x.\nAnswer: -7331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:35 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4127976, -16511896, -37151762, -66047574, -103199332, -148607036?\nAnswer: -202270686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 13\/5, -5, -4?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-52)\/20)\/((51\/(-90))\/17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 39*m - 10. What is i(39)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2480*-0.05.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -38622534 divided by -6\nAnswer: 6437089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + 0.1. Let g = 19\/147 + -24919\/588. Let z = 42 + g. Which is the nearest to w? (a) 4 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/j**(-10))\/j))*j)\/(j*j*j**(-2)*j)*j*j**(-1\/6)*j*j*j*j*j*((j\/(j\/(j*(j*j*j*j**(1\/9))\/j*j*j)))\/j)\/j assuming j is positive.\nAnswer: j**(341\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.32 + -0.32. Let j = w - 21.8. What is the closest to 2\/11 in -0.3, j, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**4\/24 - w**3\/2 - 1172*w**2. Suppose 3*p - p + 14 = 0. What is r(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:43 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/90 + (1\/(-4) - (-138)\/72). Solve 2\/9*z**4 + 8\/9 + 26\/9*z**i + 4\/3*z**3 + 8\/3*z = 0 for z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 11*a**2 - 12*a - 17. Let k be p(-10). Let f = -9 + k. List the prime factors of f\/(-21) - -370*(-2)\/(-7).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -55, -2, 5, 47100 in ascending order.\nAnswer: -55, -2, -2\/5, 5, 47100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 62. Calculate the remainder when 240 is divided by g(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edp when three letters picked without replacement from {j: 8, p: 2, d: 9, e: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 168.\nAnswer: 29\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-30)*220\/33. Let a = 43\/18 - d. Is -2\/13 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**4 + 154630*h**2 + 1702651 wrt h.\nAnswer: -36*h**3 + 309260*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (12 - 4 - -3)\/((-16)\/(-18368))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 79. Let r = 37.99999864 - g. What is r rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25432, -25528, -25624?\nAnswer: -25720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 420*n + 8820.\nAnswer: 5*(n + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9552.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/5 - 74*v**3 + 76776*v**2\/5 + 62296*v + 312928\/5 = 0.\nAnswer: -308, -2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let k be v(4). Let s(c) = c**2 + 3*c + 6. Is s(k) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159966848?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -601028 or -601206?\nAnswer: -601028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 - -176.786. Let f = z - -0.002. Let k = -0.1 - f. Round k to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b**(-4\/3))**(1\/94) assuming b is positive.\nAnswer: b**(-13\/1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from sctgb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-5 - (-1 - (15 + -1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -884 divided by -52\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292124, -292117, -292110, -292103, -292096?\nAnswer: -292089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 88 = n - 5*n, a + 74 = 3*n. Let i be (n - -1)*3\/5. Let c = 4 + i. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256\/(-46)*(-3772)\/328\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2829 + -1663. Find the second derivative of -l*z**3 + 68*z - z**2 + 1162*z**3 + 0*z**2 + 25*z wrt z.\nAnswer: -24*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -15755*s - 13580808. What is q(-862)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + 3 - (-1 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -2 - (214 + -219)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*v + 224, -4*g + 558 = 5*v + 45. Suppose -2*o = -0*o - g. What is the remainder when o is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.3 (c) 10.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (906\/(-12) + 2)\/((-369)\/246)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*m - 4222 = 403*m + 12653. Calculate the least common multiple of m and 3255.\nAnswer: 29295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(5 - 533091\/106617). Let d = u + 51184. Suppose -d = -8*z - 3349. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13*j + 17*j + 21*j - 54*j. Let q(o) = -1509*o. Determine q(s(i)).\nAnswer: 4527*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvdvvvvvvvdvvvvvvvv. What is prob of picking 4 v?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4307 - 1)*(-19250)\/(-21). Round w to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 548310 + -228310. Round f to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = 0, 9*m - 4*m - 2*q = 47999994. What is m rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11\/2 (b) 4 (c) 0.5 (d) -1 (e) -10\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 7. Let k(u) = -2*u - 3. Let y(p) = -3*a(p) + 7*k(p). Let s(v) = -12*v. Determine y(s(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(10\/3)*-15. Let v = 1 - 0. Solve 4*j - r = -v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26676\/11 + 2425. Sort 1\/4, -0.08, l in increasing order.\nAnswer: l, -0.08, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-12)*(-18)\/(-4). Let k(t) = t + 1. Let i be k(1). Suppose -9 = 2*h - h - i*g, -g + 8 = -4*h. Is n at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let i be (-8)\/4*9\/q. Solve -s - 2*s = -i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 - 10 = -2*f, 0 = -c - 5*f + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 1, x: 1, r: 1, a: 1, f: 1}. What is prob of sequence fxr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55366 and 561906?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*y + y - 5 = 0, -25 = -5*d - 5*y. Let m(o) = -13*o - o**2 + d*o**2 + 0 - 9 + 4*o. Is 9 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let m(h) be the second derivative of 0*h**2 - 1\/6*h**3 + 0 + 4*h. What is y(m(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 3*j - 3. Let q be w(3). Let v be q\/9*1*-9. Suppose -2*t - v*t = -4*m - 39, -3*m + 45 = 3*t. Calculate the greatest common factor of 77 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 1\/2*c**2 - c + 4\/3*c**3 + 3. Calculate u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**2 + 16*j - 11*j - 7*j)*(4 - 4 + 2).\nAnswer: -16*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 2. Let s = -19 + 13. Give j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*a - 185 + 85 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 137. Let k be l\/(12\/(-21))*(-2)\/(-2). Let h(c) = c**2 - 6*c + 2. What is h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288*i + 1 - 390*i + 540*i + 256*i**4 wrt i.\nAnswer: 3072*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*5)\/(sqrt(8) + (sqrt(40)*5)\/sqrt(5)) + 5.\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64148 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1787 divided by 2?\nAnswer: -1787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/3 + 83413*v**3 - 5218755178*v**2 + 172196149796*v\/3 - 156535129960 = 0.\nAnswer: 5, 6, 125114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:52 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/2)\/((-2)\/4). Let i(q) = -3*q - 3. Let r be i(j). Let a = -7 + r. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 29*h + 113. Let j be b(-25). Let y(q) = q**2 + 8*q + 28. What is the hundreds digit of y(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 17*u**2 - 203*u + 72. Let z be t(25). Put z, -1, 5, -30 in ascending order.\nAnswer: -30, z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y - 3*r = -12*y + 128, 5*y - 551*r = -552*r - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 18*i**2 + 16*i - 14. Let s be w(-17). Let c(n) = 64*n - 133. Let k be c(2). Put k, -2, s in ascending order.\nAnswer: k, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 222*n + 3786. Determine a(-18).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10043 and 14454616.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170 divided by -634?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4917*c**3*t - 2*c**2*t + 2*c**2 - 536*c + t wrt c?\nAnswer: 29502*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045673?\nAnswer: 683, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 1. Let k(l) = -l**3 - 9*l**2 - 7*l + 7. Let p be k(-8). Let i be m(p). Let c(h) = h + 7. Let s be c(i). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from xxxxoxoxxxxxxxxoxxxx.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40496672477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119463.\nAnswer: 3, 39821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1059 and 2\/19.\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145473?\nAnswer: 3, 48491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 7*z**2 + 6*z - 5. Let i be y(-5). Let j(p) = -4*p - 2*p + 14 - 6*p - 2. Let r be j(-4). Calculate the greatest common divisor of r and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f - 10*f - 1 + 1.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 18*h + 7 to u*h + x and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/138)\/7*(-18)\/(-63).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 54*g - 243.\nAnswer: -3*(g - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 16*h - 9. Suppose -5*m - 4*t + 0*t = 89, 0 = -5*m - 2*t - 87. Calculate v(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25641504.\nAnswer: 2, 3, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32862 and 244?\nAnswer: -8018328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*a - 339 = 3*y + 166, a = -0*y - y + 1 - 2 + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/8*s**2 - 1\/4*s - 1\/2*s**3 + 0 + 1\/8*s**4 = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/12*3*-3. Let u(n) = -1 + 1 - 4 - n. Let x be u(t). Let m(q) = q - 3. Let z(h) = 1. Determine x*m(w) - 5*z(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let f(x) = 1865*x. Determine f(z(g)).\nAnswer: 3730*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -15*q**4\/4 - 5. Let n be w(1). Does 14 divide (4\/8 - 89\/10)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 7b13?\nAnswer: 7b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(7*5\/175). Suppose -2*v = -3*u - 323, -6 = g*u - 1. What is the greatest common factor of 200 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16128\/(-1920) + 2\/(-20)*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439141, -1439142, -1439143, -1439144, -1439145, -1439146?\nAnswer: -1439147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -908, -71, -14 in decreasing order.\nAnswer: -5, -14, -71, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864 and 2490291?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/49391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110000 - 1?\nAnswer: -110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*a + 171 + 26 = 0, 5*a - 45 = n. Put 0, n, 1, -1 in descending order.\nAnswer: 1, 0, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117612 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: 47 (base 16) to base 6\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -996 - b8?\nAnswer: -a5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 4*j**2 - 5*j**2)*(0 + 0 - j**2) + 3*j**4 - 5*j**4 + 11*j**4.\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -6*z, 0 = z + 7*n - 4*n + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 254*b + 33944. What is f(-139)?\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*k**2 + 25271790*k - 10830771.\nAnswer: 3*(k + 1203419)*(7*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 5 = -x. Suppose -3*j = -0*j - x. Solve j*g - 3 = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - 2. Let a(r) = -1. Let v(f) = 2*a(f) - j(f). Let t be v(1). Solve 0 = -m + t - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4616 is divided by 149.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m + 1. Let f be r(2). Solve 3 = 2*k - f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let c(n) = 2*n + 1. Is 4 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8282, -16566, -24850, -33134, -41418, -49702?\nAnswer: -57986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -22 + (2 - -17) - -2037. Is m < 2031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 156 = -5*i + 3*m, -i + 28 = m. Let d = i + -50. Let u be (-656)\/d + 3 + (-1)\/(-5). Calculate the highest common factor of u and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 153?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (76 - 46 - 8)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -122.88. What is the third smallest value in 1\/3, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -66) + 20 - (-2 - -4 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:41 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/24*(-4)\/(-68)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1296*x**3 + 21684*x**2 wrt x?\nAnswer: -7776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 11 - 6 - 9*l**3 + 9.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 200*y - 18. Let p(u) = 399*u - 35. Let s(c) = 6*p(c) - 13*w(c). Let n(j) = -206*j + 25. Let d(a) = -3*n(a) + 2*s(a). Is d(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816907132 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2 + 10. Let h = -4 - -1. Let x = h - -2. What is the nearest to -0.1 in x, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**2. Let z be 5 + (-4)\/8 + -4. Let b(m) be the first derivative of 9 + 0*m + z*m**2. What is x(b(d))?\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -518*l**4 + 1006 wrt l?\nAnswer: -2072*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 36. Let n be (-3225)\/(-1)*(t - -2). Round n to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 629728, 1259018, 1888320, 2517640, 3146984, 3776358, 4405768?\n\"Answer: t**3 + 629283*t + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4333401 - -4?\nAnswer: 4333410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.837 times -6?\nAnswer: -437.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140*v**3 - 62*v**2 - 22616*v wrt v?\nAnswer: -840*v - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4933*w + 6823 wrt w?\nAnswer: 4933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 1. Let x(d) = -5*d - 7. Let c(t) = 9*t + 14. Let g(q) = -3*c(q) - 5*x(q). Let u be g(o). Solve -3*k - 41 + 11 = u*n, -k - 15 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791f8 (base 16) in base 11?\nAnswer: 20681a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 4 + 50*j - 125*j**2 + 124*j**2 + 0.\nAnswer: -j**2 + 53*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5460 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14699 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -1, -4 in ascending order.\nAnswer: -4, -1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 917 + 64. Find the common denominator of 51\/4 and ((-12)\/(-2124))\/((-2)\/l) + 3.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637 - 594 + 1816 - 10*l - 585.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 322 = p, 5*j = -3*p - 0*j + 1010. Calculate the highest common factor of p and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/6043562 and -49\/14923898.\nAnswer: 731271002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 21826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4436124, 0.5, 0.05 in ascending order.\nAnswer: 0.05, 0.5, 4436124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*v - 2 - 7, 3*v + 5*y - 21 = 0. Let w(h) = h + 3*h - 4*h + h + h**v. Let z(d) = -2*d**3 + 10*d**2 + 6*d. Give 8*w(p) - z(p).\nAnswer: 2*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2*6)**2 + sqrt(13)*-1 + 0.\nAnswer: -sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -308 + 316. Let r(b) = 132*b**2 - 122*b + 8. Let y(h) = 44*h**2 - 41*h + 3. Let j(l) = k*y(l) - 3*r(l). Find the second derivative of j(s) wrt s.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95799 less than -0.1?\nAnswer: -1.05799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 3 (c) 0.3 (d) -5 (e) 358\/107 (f) -1 (g) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n - 2 + 2)*(3 - 10 + 3) - 2 + 2 + 4*n + 0 + 2*n + 0)*((-11*n**2 - 12*n**2 - 3*n**2)*(-3*n + 0*n + n) + 3*n**3 - n**3 - 4*n**3).\nAnswer: -100*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*410647\nAnswer: 410647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 45880.48 - -0.4\nAnswer: 45880.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 36 = 4*x. Let f(q) = q - 3. What is the units digit of f(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + a + 1. Let k(s) = 5*s**3 - 3*s**2 + 2*s + 5. Determine k(m) - 3*w(m).\nAnswer: 5*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 - -58858?\nAnswer: 58858.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9 and 43\/3078?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0279 less than 2151?\nAnswer: 2150.9721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + j - 11 = 0, -5*j = -a - 19 - 3. What is the remainder when 5 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:58 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -518 - -598?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 43, -1, 0.233?\nAnswer: 0.233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 - 94. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 80?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*d**3 - 3*d**2 + 154*d - 1 wrt d.\nAnswer: 192*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39888347 - -39888351.9653562. Let y = l + -5.28535639. Let u = 0.32 + y. What is u rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = 4*t, 2*t = -2*t - d + 22. Let p(v) = 3*v**2 + 6*v + 13. Is 14 a factor of p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3925\/3 + 1288. Are -19 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/9 + 76*u**2 - 457*u\/3 + 686\/9.\nAnswer: (u - 1)**2*(u + 686)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 27, 58, 111, 192?\n\"Answer: g**3 + 2*g**2 + 2*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 - 6*d - 4. Let q be c(5). Let h = -130 - q. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796 = -7*i + 9623. Suppose -4*c - i = -17*c. Calculate the remainder when c is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77667089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64840 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 512406887.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 212?\nAnswer: -84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2283838 and 9135352.\nAnswer: 9135352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277*k**3*q**2 - 26*k**3*q*z**2 - 3*k**3*z - 6*k**2*q*z**2 + 15*k**2 - 8*k*q + k*z + q**2*z**2 wrt k?\nAnswer: -1662*q**2 - 156*q*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2\/27, -1\/2, -3169, 1 in descending order.\nAnswer: 1, -2\/27, -1\/2, -1, -4, -3169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -23982\/11 >= 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -132901 plus -0.091?\nAnswer: -132901.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -217, -1.1?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129 - -128. Put c, 5, 6 in increasing order.\nAnswer: c, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10751.29991 to the nearest one hundred.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21324356?\nAnswer: 2, 5331089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1477)\/(-87) - -18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*i + 2*i = -14, 0 = 5*z + 3*i - 4. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/22)\/(72\/(-126)*77\/22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.055999952 - 1120.159.\nAnswer: -1120.103000048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5976 is divided by 1419.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 14*j + 12. Let b be (-84)\/8 - 1\/2. Let o be z(b). What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3 + 11*s**2 - 5 - s**3 - 2*s + 22. Suppose r - 2*r - 44 = -4*z, z = -5*r + 11. Let q be m(z). Which is bigger: -10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 5. Let l(u) be the first derivative of -u**2\/2 + 6*u + 117. Suppose 0 = p + 2, 2*d + 21 = -3*d - 3*p. Determine d*l(j) - 4*c(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002212706 rounded to 5 dps?\nAnswer: -0.00221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 b when three letters picked without replacement from {b: 2, u: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 20\/49 (c) 0.5 (d) 0.078\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnnnnnn. What is prob of sequence nj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 814?\nAnswer: 28490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879 = 42*a - 130 + 889 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**22)\/v)**44*v**(1\/33)*v**23 assuming v is positive.\nAnswer: v**(-31184\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j. Let b(w) = -2*w**2 - w. Suppose 0 = s - 10 + 11. Let p(n) = s*a(n) - b(n). Let m(r) = 2*r**2 + 3*r**2 + 3*r**2. Calculate m(p(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9058173, 9058186, 9058213, 9058260, 9058333, 9058438, 9058581?\nAnswer: 9058768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1652, 1537, 1422, 1307, 1192, 1077?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0166049 to five decimal places.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/2 + 61*h**4\/2 + 411*h**3\/2 - 36693*h**2\/2 - 367416*h - 1535274.\nAnswer: (h - 26)*(h + 6)*(h + 27)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49\/(-14)*(-4)\/2. Let n(w) = -w**2 - 32*w - 102. What is the lowest common multiple of ((-18)\/4)\/(i\/(-42)) and n(-27)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607610 at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319632529.\nAnswer: 37, 2617, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -4.7. Let o = 0.04 + 0.66. Let u = o - -3.3. Which is the third smallest value? (a) -1\/5 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/39*(-228)\/152.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/5)*(v**2*v)\/v)\/((v**2\/v*v)\/(v**4*v))*((v\/(v*v\/(v\/(v\/((v*v*v\/v**(-2))\/v)))*v*v*v))\/v*v*v**(-2\/15)*v*v)**15 assuming v is positive.\nAnswer: v**(166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68948 or 68944?\nAnswer: 68948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 23. Let p be x(-16). Let y = -2 - p. Let g be y + -4*(-1)\/(-2). Solve -2*j - 5 = g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -184. Let z be 1 + -1 - 12\/x. What is the fourth biggest value in z, -1\/7, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23031 (base 4) to base 14.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 568*u + 102336.\nAnswer: -4*(u - 246)*(u + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581213.\nAnswer: 17, 179, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9309835*-33\nAnswer: -307224555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 + 99. What is the first derivative of -11 - 1574*o + 38*o**d + 1574*o wrt o?\nAnswer: 152*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3836, -4366, -5204, -6356, -7828?\nAnswer: -9626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z**3\/3 - 94449307*z**2\/3 + 32693996*z\/3 + 7265332\/3 = 0. Calculate z.\nAnswer: -3632666, -2\/13, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1196)\/(-234))\/23*(-6)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 4:19 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 8. Let x be a(-5). Suppose -x*k - 4 = -19. Solve -h + 3*g - 3 = 2*g, 0 = g - k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12146 (base 7) to base 6\nAnswer: 22402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n. Let v(l) = -17836*l**2 - l - 6. Give v(s(f)).\nAnswer: -160524*f**2 + 3*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-812)\/34 + 4\/(-34). What is the smallest value in -0.4, 1, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*((-92)\/(-273) + (-26)\/91). Let w = -93\/2 + 47. Does w = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 373 = 231. Let o = 258 - y. Suppose 1 = -2*j + 3*p + 46, p - 111 = -4*j. Calculate the remainder when o is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -896, -5, 0 in decreasing order.\nAnswer: 0, -5, -8, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29\/4 + -71\/12. Suppose 4*v - 3 = -5*o - 25, -4*o - 22 = v. Determine j, given that 8\/3 - l*j**5 + 32\/3*j**v + 28\/3*j + 8\/3*j**3 - 8\/3*j**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**8\/6720 - t**6\/72 + t**4\/3 - 3*t. Let y(v) be the third derivative of h(v). What is the second derivative of y(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y**3 + 6*y**2 + y - 6. Is 31 a factor of z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, 1, 24 in increasing order.\nAnswer: -1, 1, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - 0.3. Let a = w - -0.5. What is the third smallest value in 1\/7, -1\/3, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:48 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 3. Suppose 3*u = 4*u + 3*g - k, -g + 5 = 0. Suppose 0 = -2*p - p + u*b + 67, 3*b = 12. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:42 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Suppose 5*t = 9*t + 60. Let g be 52\/12 - (-20)\/t. Suppose -g*k = -2*i - 1, -2*k = -7 + 1. Let d(j) = -4*j**2. Determine i*d(p) - 18*s(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.966 + -11.009. What is the closest to 1\/3 in -8, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 35*p**2 - 4*p + 4. Let z = -7913 - -7916. Let n(d) = -d**3 - 36*d**2 - 3*d + 3. Determine z*x(j) - 4*n(j).\nAnswer: -2*j**3 + 39*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0324578 + -0.03622. What is h rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-3*6)\/(sqrt(50)\/sqrt(605)).\nAnswer: -198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-106)\/(-2)*-1. Suppose 5*h + 2 = v. Let n(d) = -d**3 + 8*d**2 - 11*d - 4. Let p be n(6). Solve 3*w = -p*w + h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/11 + 1242*m**3 + 23338110*m**2\/11 + 23324450*m\/11.\nAnswer: 2*m*(m + 1)*(m + 3415)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-60))\/((-50)\/(-125)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -12 + -1 + (-29 - -31) - -22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.654 + 6.456. Let d = n - 0.11. Let r = d - 39.99999949. Round r to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 456 - 4103\/9. Let r = 0.175 - 0.075. Sort r, 9, s, 1\/2 in descending order.\nAnswer: 9, 1\/2, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1 - -1) + -40)*(-99927)\/108.\nAnswer: 2, 5, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - -6089702?\nAnswer: 60896b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52980 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*g**4 + 6467*g**3 - 6467*g**3)*(0*g - 7*g + 2*g).\nAnswer: -90*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1751526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1428)\/(-21))\/(1\/1). Let s(i) = -27*i - 6. Let q be s(-4). What is the greatest common divisor of q and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4885241*j - 89046185 wrt j?\nAnswer: 4885241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304*p + 1304*p + 77*p**3.\nAnswer: 77*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.08 + -0.08. Let w = -28 - -139\/5. Sort 0.5, w, i in decreasing order.\nAnswer: i, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 1 + 13*z**2 + 1.\nAnswer: 13*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/75 + (1665\/(-630))\/((-25)\/(-94)) + 8?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439952787 to the power of 1\/2, to the nearest integer?\nAnswer: 49396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 1137184 + 1137177 - 5*v**3 - 3411539 + 1137178.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -6. Let s be 40800*(-2)\/x*-50. Round s to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*h + h**5 - h**5 + 11*h**5 + 38*h wrt h.\nAnswer: 220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 10. Suppose -2 = 3*h + 2*g - q, 3*g + 10 = -h. What is the third derivative of -4*x**6 + 6*x**6 - 4*x**2 + 10*x**h wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 3*p**2 + 3*p - 1. What is the least common multiple of 31 and j(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12834\/19964)\/(45\/50)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 7) + -2*1. Let p(j) = -3*j**3 - 6*j**2 - 8*j - 7. Let g(z) = 16*z**3 + 30*z**2 + 41*z + 36. Let c(v) = 2*g(v) + 11*p(v). Give c(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*(sqrt(605) + -2*sqrt(605) + 1) - 1*(sqrt(605) + 4)*-3)**2 + -3).\nAnswer: 3872*sqrt(5) + 39192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z - 6*z**2 + 9*z - 2*z**2 - z**2 + z**2 + (-2*z + 2 - 2)*(0*z + z + 0*z) + 659 - 22*z**2 - 659.\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - (-10 + 26 + -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 166*z**3 - 2*z**2 + 5*z - 1. Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(72)\/sqrt(8) + sqrt(9)) - (1 + sqrt(180)))**2.\nAnswer: 11*sqrt(5) + 609\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*m + 33*m = -7*m - 1368 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3, -0.5, 1\/7, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dd (base 14) in base 4?\nAnswer: -12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6480 and 276690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/41892 and -19\/18.\nAnswer: 125676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 2. Let d be 16\/4 + 2 + (-3 - 1). Let k(q) = q**2 + 8*q + 8. Give d*k(z) + 9*n(z).\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 753 + 753 + (-1 + 6 - 3)*(k - 5*k + 3*k) - k - 2 + 2 + 2 - 2 + 14*k + k - 2*k + 5*k + (-3 - 3 + 8)*(k - 3*k + k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-87.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222 times -4.44207?\nAnswer: -0.98613954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17*b**2 + 9*b + 4. Calculate the remainder when o(-2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*l + 6*l - 5*l + (0 + 2*l + 0)*(3 - 6 + 4).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -7, 5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/124)\/(2\/23). Let r be (-104)\/(-310) + (-10)\/25. Let t = r - o. Sort -0.4, 3\/8, t.\nAnswer: -0.4, t, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1897 + -1874.91. Let j = 22 - p. Let b = 0.0900096 + j. Round b to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2 + 4*b + 22*b**2 - 17*b**2 - 2*b. Let p(g) = 11*g**2 + 5*g + 5. Give -5*j(x) + 2*p(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2. Let u = -8 - -13. Let a(d) = -2*d**2 + d**2 + 0*d - u - 2*d + 7*d. Let b(w) = 6*w - 6. Let k(y) = 6*a(y) - 5*b(y). Determine k(v(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87307039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6184, 12249, 18314, 24379, 30444?\n\"Answer: 6065*j + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 8. Let k = u + -18.15. What is k rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + -64 + 31 + -86.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 + 7)*(-5 - v + 5 + (1 + 2 - 1)*(6*v - 2*v - 3*v) + 3*v - 2*v + 0*v + 3*v - 3*v - v + 16 - 20*v - 16).\nAnswer: -418*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.16424 + 7.26424. Let t be 2\/(-28) - (1 + -1). Which is the biggest value? (a) t (b) g (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/8 >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 313\/4. What is the second smallest value in -2, a, 0.1, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286*u + 5819 - 5819)*(0*u + 0*u - 2*u).\nAnswer: -572*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -25. Let o be p + -1 + -2 + 0. Which is the fourth smallest value? (a) 0.4 (b) o (c) 0.1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.87 - 45.87. Let z = s - -41. Let i(y) = y**2 - y + 1. Let o be i(0). Which is the biggest value? (a) z (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/12)\/(-2)*(-48)\/2. Let f(b) = 5*b - 4. Let z(u) = -7*u + 6. Determine m*f(i) + 5*z(i).\nAnswer: 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/4 - 5*f**3\/3 - 5*f**2\/2 + f - 44. Let l(p) = -p**2. Let a be l(-2). What is the least common multiple of 1 and d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -887522840 to the nearest 100000.\nAnswer: -887500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 980*b**5 + 1943165*b**4 + 156060390*b**3 + 127317745*b**2 + 34715380*b + 3152340 = 0.\nAnswer: -1899, -83, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x**2 + 5*x - 22. Determine t(-5).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 79, 3, 0, -36, -1, -49 in ascending order.\nAnswer: -49, -36, -1, 0, 1, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 63\/135 - (2 - (-13)\/((-195)\/20)). Let l = -3 + 3. What is the closest to l in 4, -0.5, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 0*c)*(4*c - 3*c + 2*c)*(-c - 2*c + 2*c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, -0.2, -47, 3\/2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/18)\/(r**10*r*r))\/(r**1)**16 assuming r is positive.\nAnswer: r**(-503\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.506 and 0.095751.\nAnswer: -0.048450006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 7) + (3 - 53 - -30)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 177.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34561 and 9095?\nAnswer: 172805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Suppose 3*a + 4*y + 26 = 5*a, 5*a + c*y - 5 = 0. Suppose -24 = -11*w + 20. Calculate the remainder when w is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 381. Let t be y(-5). Which is greater: -377 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4651 bigger than 4242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 2*z - 4*z)*(6 - 2 - 1) + (z - z - 2*z)*(-3 - 3 + 3).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(68)*-3 - 2*(sqrt(68) - (sqrt(68) + (sqrt(68) - 1*sqrt(68)))))*-1)\/((2*sqrt(8)*-3 - sqrt(8) - sqrt(8))\/(sqrt(8) - sqrt(72))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 608554 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -84447706*b. Let t(i) = -6*i. What is t(l(g))?\nAnswer: 506686236*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**6\/1080 + b**5\/45 + 11*b**4\/216 + 17*b**2 - 5*b. Solve q(z) = 0 for z.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 748737*l**5*v - l**3*v - 4*l*v + 14*l - 2*v - 1162 wrt l?\nAnswer: 14974740*l**3*v - 6*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 164 = 97. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15288443 to the power of 1\/2, to the nearest integer?\nAnswer: 3910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 30 - 2 = 0. Let c = a - -13. Let j be (-6)\/8*3\/c. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6877 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 12180639*h + 12180637*h - 3.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 220*s**3 + 3768*s**2 + 15120*s - 85536.\nAnswer: 4*(s - 3)*(s + 18)**2*(s + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (249794\/8)\/(33\/(-6)). Let i = 5679 + l. Find the common denominator of 267\/30 + 3\/(-15) and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/7 - (-37 - -2). Let l = u + 5. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvr when three letters picked without replacement from {v: 4, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/117 + 9*(-12)\/26. Is -3 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 58 = 7*w - 67, -3*w + i = 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*d**2*k*t - 105*d*k*t - 15*d*k - 6*d + 3*k*t + 2*k + 1246*t + 748 wrt d?\nAnswer: 22*d*k*t - 105*k*t - 15*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -247869*z**2. Let l(h) = -4*h. What is y(l(b))?\nAnswer: -3965904*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0.43 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 36*k - 135.\nAnswer: 3*(k - 15)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(272)*2*-4 + 0 + 1*sqrt(272) + sqrt(272) + 0).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5266*b**3 - 6*b**2 - 3*b. Let u(f) = -105315*f**3 + 118*f**2 + 59*f. Calculate -59*a(r) - 3*u(r).\nAnswer: 5251*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -420806*j**4 - 13*j**2 + j - 29670339 wrt j.\nAnswer: -1683224*j**3 - 26*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 2*a + 1. Let j be m(3). What is the nearest to -1 in -0.6, -0.2, j?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -798574704?\nAnswer: -798574705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 102?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 + 3*p + 1. Let u(w) = -2*w**2 - 2*w. Let d be 6\/(-27) - (-33)\/27. Let n be u(d). What is the remainder when f(n) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 15. Give s(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -91 + 163 + 70\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3740592*u - 3740591*u + 2 - 3. Let c = 0 - 1. Let v(j) = 21*j - 21. Calculate c*v(x) + 18*f(x).\nAnswer: -3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - a + 14. Give n(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 1.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-145)\/(-130) + -1). Is -1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(800))\/((sqrt(360)*-2 + sqrt(360) - sqrt(360)) + sqrt(360)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 47.\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 9*j + 8. Suppose 2*c = -15 - 5. Let i be d(c). Let z be (-14)\/6 - 6\/9. Is i < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330 + -13210?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -221.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -95256 - 378?\nAnswer: -95612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*((b*b*b\/(b\/(b\/(b**(-1\/6)\/b)))*b)\/b)\/b*b*b)\/(b\/(b*b\/(b\/b**(-1\/6)))*b*b**(-2\/7)) assuming b is positive.\nAnswer: b**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, e: 7}. Give prob of sequence eeee.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 1 (c) 4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 4aba06b?\nAnswer: 4aba074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-2*x**4 - x + x) + 3*x**4 - 4*x**4 - x**4 + 591*x**4 + 660*x**4 - 714*x**4 as y + s*x**3 + z*x**2 + m*x + u*x**4 and give u.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/3 + 6830*z\/3 - 2276 = 0.\nAnswer: 1, 3414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 + -69.8. Let s = x - 35. What is the closest to 5 in s, -1, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 840\/112*(-2)\/4. Put -2\/3, -0.1, o, 4 in increasing order.\nAnswer: o, -2\/3, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44092 and 44.\nAnswer: 485012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22270*h = 22523*h + 6325 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -403?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*g = -8, 2*l - 2*g + 1 = 3. Sort 3, -16, l in increasing order.\nAnswer: -16, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 38 - (0 + -2)) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 + 5*i + 2 - 8 + 8*i**2 + 3 - i**3. Give h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6 + 5*s - 10*s + 0*s - s**2. Let n be y(-5). Suppose 296 = n*v - 2*v. List the prime factors of v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259118735 - -170.\nAnswer: -259118565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5947417 or -5947410?\nAnswer: -5947410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2700.7 - 2701. Is 839 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 1, m + 3*q + q = 0. Let t(y) = -2*y**2 + 31*y - 17. Let l be t(0). Let j = m - l. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 8. Let n(r) = 2*r**3 + 5*r**2 + 6*r + 29. Let g be n(-3). Suppose -g*v - 2*m = -4*m - 6, 2*v - 5 = 3*m. Put k, 0.4, -2, v in increasing order.\nAnswer: k, -2, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1634 - 3268 + 450*i + 1636 as a + x*i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*k = -4, 3*a + 14 = 4*k + 1. Let l(r) = r. Let p(o) = -o + 1. Let f(j) = -7*j + 6. Let i(h) = f(h) - 6*p(h). Give a*l(n) + 2*i(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5, e: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -2 - (18 + -12 - 11) - (25 - 16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 + 54*h**4 - 94*h**3 - 150*h**2 = 0. What is h?\nAnswer: -1, 0, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpllleelplpe. Give prob of sequence plel.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25470 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0202 - 3.0202. What is the nearest to 1\/3 in 0.1, -0.2, r, 32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/172 and -89\/211141395?\nAnswer: 844565580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 12*v - 25. Let s be w(13). Which is the nearest to 2? (a) s (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490040 rounded to the nearest ten thousand?\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*n = -3, -4*d = d - 5*n + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27970841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 7*n**2 + 5*n - 7. Let t be y(-6). What are the prime factors of t*(-314)\/2 + (-24)\/(-6)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.047586 millilitres to litres.\nAnswer: 0.000047586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -7) + -5 - 2 - (-3 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70953, -70954, -70955?\nAnswer: -70956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/45296012 and -31\/1136.\nAnswer: 181184048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/25536 and -1\/25536?\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/11 (b) 0.2 (c) 2\/11 (d) -1 (e) -0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - o - 8. Let t(z) = 9*z**3 - 3*z**2 + 3*z - 1. Let b be t(1). Suppose -b*a = -5*a. Determine w(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 1 + 1)*(-2*g**2 + 2*g**2 + g**2) - 2*g - 4*g**3 + 2*g + 326*g**3 - 107*g**3 - 107*g**3 - 113*g**3 + 220 as m*g + s*g**3 + j*g**2 + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - j - 2. Let y be q(-2). Suppose -4*t - 5*p = -9*t + 45, 30 = 5*t - 2*p. Calculate the remainder when y\/3 - (-4)\/2 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 3. Let s be i(-4). Let k = s + 14. Let q = 0 + 1. What is the highest common factor of q and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 471*x - 7139. What is l(-140)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 + 6*z + 1. Let s be u(7). Calculate the highest common divisor of s and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1538090*b**3 + 5125*b - 1.\nAnswer: -9228540*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -756, -7593, -27270, -66207, -130824?\nAnswer: -227541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/30 + 7*j**4\/24 - j**3\/3 - j**2. Suppose -25 = 6*c - c. List the prime factors of p(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 - -101022021021001?\nAnswer: 101022021100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21833144 rounded to 3 decimal places?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 20, 13, -12, -61?\n\"Answer: -z**3 + 12*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/272294 and 24.\nAnswer: 272294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-182)\/(-10 + -3) + -11. Solve -o = n - 5*o + 7, 2*n + 4 = b*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 136, 276, 416, 556, 696?\n\"Answer: 140*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + h. Let n(w) = w**2 + 8*w - 10. Let d be n(-9). Let l be i(d). Suppose z + l*r - 21 = 0, -2*r + 6 + 21 = z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 34*r + 34399 = 0. Let x = r - 826. Solve -x = 3*h - 2*j, 3*h = 2*j - 6*j - 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1, -57, 4?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2957 - 7053. Let k = o - -40927\/10. Let t = 1597\/3 + -1661\/3. Calculate the common denominator of t and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 5. Let h(z) = -z - 1. Let f(y) = b(y) + 5*h(y). Let r(o) = -5*o - 5. Let s(k) = 4 + 1 - 3 - 1. Let a(t) = -r(t) - 5*s(t). Give a(f(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, p: 10, s: 2}. Give prob of picking 2 p.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 24. Let x = 90 + -78. Calculate the remainder when x\/5*(-15 + 30) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -14 + (14 - (-14 - -14)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - c**2 + 2*c + 2. Calculate n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7070?\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2800766 to the nearest integer?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeyyexyyx. What is prob of sequence yxx?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 8. Let o be q(4). Let c be -2 + 0 - (3 + 3). Let r = o + c. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2352)*-2 - sqrt(2352))\/(-2*sqrt(864)).\nAnswer: 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2501\/137153 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(k**2 + 3*k**2 - 3*k**2) - 139*k**2 - 142*k**2 + 87*k**2 - 3*k**2 + 3*k**2 + k**2.\nAnswer: -192*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from mmmmammmmmmmmmmmmmm?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 872912926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + 21*l**2 + 14*l - 6. Give w(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(392) - sqrt(392))\/sqrt(7))\/(sqrt(648) + sqrt(648)*-2 + sqrt(648) + sqrt(648)).\nAnswer: -20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -22. Is -1*(-3 - y) - -538 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 2, h: 1, k: 2, b: 1}. Give prob of sequence cqk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44492056 to the nearest integer?\nAnswer: 6670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*l + 3, -l + v = -0*v + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*a + 2875, -2*d + 0*d + 1918 = 2*a. Is ((-23)\/3)\/((-11)\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7.3 (b) -8.4 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 246, 462, 692, 942, 1218, 1526, 1872?\n\"Answer: r**3 + r**2 + 206*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3939195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123.2 - -139.7. What is the biggest value in h, 4, -0.05, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147 + 146. Put -19, z, -4 in decreasing order.\nAnswer: z, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -7, -267, -0.2 in descending order.\nAnswer: 1\/2, -0.2, -7, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.2 (c) -1\/2 (d) -0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j = 93*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 29 + 1 - 446*t + 531*t + 1 to the form u*t + l and give u.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 20, 3*b - 138480 = -5*u + 270137. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (107235\/4766)\/((-36)\/40)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/5 + 140622*s**3\/5 + 281238*s**2\/5 + 140618*s\/5.\nAnswer: 2*s*(s + 1)**2*(s + 70309)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 16 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/9 (b) 5 (c) 13 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 39 in increasing order.\nAnswer: -3, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 571690791*q**4\/2 - 7635439161*q**3\/2 + 18078356835*q**2 - 103551026450*q\/3 + 59911578500\/3.\nAnswer: (q - 1)*(1197*q - 4930)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -1.2, 43.01, -0.4?\nAnswer: 43.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 35 + 31*i - 8*i**2 - 130*i.\nAnswer: -8*i**2 - 99*i - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*s**4 + 5*s**5 - 185*s**2 + 70*s + 668*s**4 + 165*s**3 - 378*s**4 = 0. What is s?\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 494, 5, -4, 2, 7 in increasing order.\nAnswer: -4, 2, 4, 5, 7, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21365 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: Suppose 4*w = -0*w + 644. Let i = w + -1129\/7. Which is the closest to -0.1? (a) i (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 7*a - 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81621 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -665 + 677. What are the prime factors of ((-8)\/k)\/(3*14\/(-81459))?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/3 + 47838896*l\/3 - 143034998156176\/3.\nAnswer: -4*(l - 5979862)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207 a factor of 504381437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (17 + -14)) + (-28 - -33 - (0 - -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 0*f + 3*f)*(0 + 0 - f) + 11337 + 53*f**2 - 11337 - 60*f**2 - 44 + 32*f**2 + 29*f**2 to h*f**2 + g + y*f and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17712038.\nAnswer: 2, 8856019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 - -1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -829\/6 - -132. Let d = 4950 + -79127\/16. What is the common denominator of d and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639057547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 4494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2 + 4)*(-5)\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 14. Let z be o(-5). Put 0, 2, z in increasing order.\nAnswer: 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 807687 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5025*b**2*j*o - 1671*b**2*o**3 - 2*b*j*o**2 + 3004*j*o**3 + 26*j*o**2 - 21*o**2 wrt o.\nAnswer: -10026*b**2 + 18024*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x = 4*f, -2*x = 2*f. Suppose -6*i - 35 + 11 = x. Let j(m) = 32*m**2 - 9*m - 3. Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1\/5. Let t = z + -2\/5. Sort -3\/7, 2\/11, t in increasing order.\nAnswer: -3\/7, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 547741444, 547741445, 547741446, 547741447, 547741448, 547741449?\n\"Answer: n + 547741443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(((-234)\/(-12))\/13). Suppose 5*y = -3*m - 2, 1 = 4*m - d*m + y. Suppose -3*j - 5 - 4 = 0. Sort -4, 0, m, j.\nAnswer: -4, j, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2. Let p(k) = -48*k**2 - 15*k + 15. Let a(g) = -12*g**2 - 4*g + 4. Let j(t) = 15*a(t) - 4*p(t). Determine j(y(s)).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 + 1 - -42)\/((-13)\/7 + 2) is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 - 13*j**2 + 14*j + 20. Let r be s(-5). Solve 39*v - 37*v + 8 = r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6864 and -139\/374400.\nAnswer: 4118400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 74500 = 2*q - 74488, 2*v - 18 = -2*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/17224 and -99\/28.\nAnswer: 120568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((99\/9)\/(-33))\/(-6*4\/(-1656))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -3*v - 13, -v = -1. Suppose f*u + 0 = 5*g + 5, 15 = -u + 5*g. Let n = -1478 + 1485. Solve -b = -4*c + 13, -3*b + n*b - u*c = -30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/(c*c*c**15*c)*(c\/c**(-2\/9)*c*c*c)\/(c**(-10)\/c))**(2\/133) assuming c is positive.\nAnswer: c**(-28\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 38 + 2 = 0. Solve 16 = -4*v + n*k - 7*k, 4 = -k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4620 by 231.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffoffmftfooooofo?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 21*x + 22. Let o be w(21). Solve 8 = 2*m - 0*m, -2*t + 3*m - o = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-147)\/(-70))\/(-7))\/((-18)\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7667721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*x + 6*x = 0, 5*i = x. Let m = 2 + -2. Solve m = 4*h + v - 7, i*v - v + 10 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 626198 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 462 = 70*c - 759 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -319*p**7\/42 - 192*p**3 - 612*p**2 - p. Find the first derivative of q(w) wrt w.\nAnswer: -6380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -851.\nAnswer: -3\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 1. Let c(y) = -y**3 - 5*y**2 - 2*y + 9. Suppose -5*b + o - 21 = 0, -15 = 3*b + o - 4*o. Let z be c(b). What is d(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:04 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 - -1.1. Let k = j - 5. Sort k, 5, 0 in ascending order.\nAnswer: k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/17*1*-1. Let v(s) = -21*s - 84. Let d be v(-4). Let z = 0.21 + 1.79. Sort d, c, z in decreasing order.\nAnswer: z, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -1\/10 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p - 99112 = -98882 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 11*s + 16. Let v be k(12). Suppose 0 = v*h + h - 25. Solve -8 = h*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.842991 nanometers in meters?\nAnswer: 0.000000002842991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 792 + -55?\nAnswer: 73c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-20)\/30) - (3 - 5)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 22 = 14. Let h(r) = a*r + 6*r**2 + 3*r + 51*r**3 + 7 + 50*r**3 - 156*r**3 + 56*r**3. Calculate h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from aqjqlallljjl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(22)*-2)\/(5*sqrt(176)))**2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + 5)*(-26)\/(-39). Solve -11*x = a + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -88*g**2 - 266*g - 6. Let z be k(-3). Let 2\/9*o**2 + z - 4\/9*o = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, -5, -6, 2 in ascending order.\nAnswer: -6, -5, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a - 116. Let n be w(-12). Suppose 2*f - 5*f - 3*z = -3372, -z - 4481 = -n*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3613.712 millilitres to litres.\nAnswer: 3.613712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) - 2\/(-6)*15. Sort -2, -4, 5, q.\nAnswer: -4, -2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 15 = -33*p. Factor 11 + 8*t**2 + 40*t - 55 - 9*t**2 + p*t**2.\nAnswer: 4*(t - 1)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/(-27))\/8 - (-4)\/18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198524 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (-4)\/((-10)\/5) - -7613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z - 1840 - 1812 = 12*z - 58*z for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(152) + -1*(sqrt(152) + (sqrt(152) - -2*sqrt(152))))*-1)\/((sqrt(384)*2)\/sqrt(12) + sqrt(32) + (sqrt(1568)*-2 - sqrt(1568)) + sqrt(1568)))**2.\nAnswer: 171\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + h**2 - 87 + 57 + 21 to the form s*h**2 + d + p*h and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a second in milliseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3360 - 4?\nAnswer: -3364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Let n = -10875 + 10878. Suppose 0 = h*g - 3 + n. Solve g*y - 12 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/3 - 14*v**4\/3 - 2125*v**3\/3 + 71258*v**2\/3 - 217440*v + 194400 = 0. Calculate v.\nAnswer: -54, 1, 20, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - 9*d**5 - 3*d**3 + 20*d**5 + (-4*d - d**2 + 4*d)*(0 - 2*d**3 + 0) - 8 - 6*d**5 + 8.\nAnswer: 7*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43835601709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -48, -703, -1786, -3291, -5212, -7543, -10278?\n\"Answer: o**3 - 220*o**2 - 2*o + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -193, -2, -37.\nAnswer: -193, -37, -4, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.266, -3, -2, 9?\nAnswer: 0.266","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12997, -68, -28 in descending order.\nAnswer: -28, -68, -12997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 835*y**3 + 68*y**2 - 2*y - 60 wrt y?\nAnswer: 5010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0082928544 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436366, -872729, -1309092?\nAnswer: -1745455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78 or 29268?\nAnswer: 29268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360015.\nAnswer: 5, 11, 79273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 1, e: 2, l: 2}. What is prob of sequence elln?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2544 (base 9) to base 4\nAnswer: -131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3359*c**2 - 31 + 4*c + 3113*c**2 - 4*c.\nAnswer: -246*c**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*i**3 - 58*i - i**2 + 628*i**3 + 17*i**2 - 20*i**2 - i**4 + 59*i as d*i**3 + n*i + l + v*i**2 + j*i**4 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194060, -194075, -194116, -194195, -194324?\nAnswer: -194515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 153 = 2*i + i, h - 3*i = 59. Suppose 3*n - h = 4*d, 4*n - 3*n - 23 = -4*d. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 0.6. Let q = 9.1 + -9. Which is the nearest to -2\/3? (a) 4 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6524*s**3 - 1791*s**2 - 205020002*s?\nAnswer: -39144*s - 3582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -25, 12, 67, 146?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**2 - 6*u + 5. Let x(s) = -16*s**2 + 16*s - 16. Determine 11*l(k) + 4*x(k).\nAnswer: 2*k**2 - 2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-9) - 2 - 6032016\/(-324) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698, -933, -1652, -3095, -5502, -9113, -14168?\nAnswer: -20907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4770\/(-36))\/((-1)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98725602 by -6.\nAnswer: -16454267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, -275\/3, -0.1, 0.5.\nAnswer: -275\/3, -0.1, 0.5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, -9.\nAnswer: -9, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 486.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61908)\/(-3234) - (-40)\/(-2)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) -2 (c) 1\/4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.80405 rounded to the nearest 10?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-1590)*-5*(-62)\/(-93)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1)*(-5 + 6). Find the third derivative of -24*l**3 - 13*l**2 - 5*l**3 - 38*l**d - 113*l**2 wrt l.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2*(-3)\/(-6))\/(6\/(-12642))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 8:39 AM?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from azdtukz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8208 is divided by 2051.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 70. Sort 4\/5, q, 4, -1 in descending order.\nAnswer: 4, 4\/5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 102111000211?\nAnswer: -102111000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 54 = -2*v - 67, -26*i - 58 - 97 = 7*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8715 is divided by 438?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13\/(y\/y**(-1\/38))*y**7*(y\/y**(-12))\/y)**50 assuming y is positive.\nAnswer: y**(29425\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2 + (-249)\/(-6). Let b = g + -10. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2101642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**2 - 5*b - 11. What is k(5)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2026048853 + -5.\nAnswer: -2026048858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -137. Suppose -2*s + v = -4*o, 3*s + 0*s - 4*o = 73. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6274047344 to the power of 1\/2, to the nearest integer?\nAnswer: 79209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4 + 214*z**3 + 6594*z**2 + 42554*z + 36176 = 0.\nAnswer: -17, -8, -1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = 298*h - 307*h. Suppose -h*r + 77*r = 112. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2. Let x(b) = 1152*b. Calculate v(x(h)).\nAnswer: 5308416*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/(13\/15171). Let r = k - 484. What is the greatest common factor of r and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s**2 + s**3 + 11*s - 2*s**2 + 6 + 0 - 3. Let v be c(9). Suppose h = -3*i + v, 4*h + 5*i - 39 = 2*i. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w + w)*(0*w**4 + w**4 - 4*w**4).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnqqnqnq. Give prob of sequence qqq.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15)\/o**(2\/7))\/(o*o*o\/o**6*o*o**2\/o) assuming o is positive.\nAnswer: o**(61\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -1\/6*t**3 + 0*t**2 - 27\/14*t**7 - 9*t + 0*t**5 + 0*t**6 + 3 + 31\/6*t**4. What is the third derivative of f(v) wrt v?\nAnswer: -4860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 2*n. Let c(s) = -11*s**2 + 19*s + 4. Calculate c(g) + 3*r(g).\nAnswer: -2*g**2 + 25*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - -0.1. Let s = p + -2.26. Let i = s - -2.2000084. What is i rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 375 - 378. Which is the nearest to -0.1? (a) -1\/4 (b) 0.043 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -2 + sqrt(343) + 3)*6)**2 + (5*(-5 + sqrt(343) + sqrt(343)))**2 + 5.\nAnswer: -2492*sqrt(7) + 84358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -364252521?\nAnswer: 364252517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. Suppose 15*m - 12*m - 12 = 0. Let h be (m - 0)\/(-4) + -1 + 2. Which is the nearest to h? (a) x (b) -0.5 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 2*d + 5. Suppose 3*n = 9, 7*n - 6*n = -2*a - 7. Let u(q) = 6 - 3*q**2 + 15 + 5*q - 10. Calculate a*i(b) + 2*u(b).\nAnswer: -b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 10*z + 14 = -2*w, -4*z = 4*w - 92. Let t(i) = 3*i**2 - 59*i - 20. Let j be t(z). What is the nearest to -4 in 0.3, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1259, 6580, 15451, 27872, 43843, 63364, 86435?\nAnswer: 113056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 4)*((2 - 2 - 2*j)*(3 - 5 + 0) + 3*j + 0*j - 4*j) to z + a*j and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 45*z + 800 = 3*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25527071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/(-124))\/(-14)*6\/18?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-243)*(-9)\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 6*c + 9. Let f be h(7). Let o = 1 + -1. Let l(s) = o*s**2 - 4 - 9*s + s**3 + 4*s**f + 2*s. What is l(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2194 is divided by 448?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 + 526*o**4\/5 - 2128*o**3\/5 - 3816*o**2\/5 - 1152*o\/5 = 0 for o.\nAnswer: -1, -2\/5, 0, 6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(13) + -1 + -2) + (4*sqrt(39)\/sqrt(3) - 3*(sqrt(13)*3 + sqrt(13))))**2.\nAnswer: 96*sqrt(13) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 4*o**2 + o + 2. Let q be l(-4). Let z be (-1 - 1)\/(q - 0). Let j = 170 - 169.9. Which is the closest to j? (a) -1\/3 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 3)*(-4*m - m + 6*m)*(3 + 3 + 4 + (-2 - 2 + 6)*(90 + 26 + 23))*(2*m - 4 + 4) in the form w*m + s + t*m**2 and give t.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23992 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 262, 613, 954, 1279, 1582, 1857, 2098, 2299?\n\"Answer: -z**3 + z**2 + 355*z - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -624*a + 11858. Let d be q(19). Find c, given that 2\/17*c**5 - 16\/17*c - 4\/17*c**3 - 24\/17*c**d + 0 + 6\/17*c**4 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + -8)*16\/6. Let c be (4 + -1)*q\/(-24). What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let o(v) = v + 2. Calculate o(s) + 4*r(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g + 5, 0 = -2*f + 3*g + 24. Let c = 30 + -37. Let z be -2*((-105)\/(-10))\/c. Solve 8 + f = 4*t - 2*p, -z*t + p = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2\/(-6) + (-11)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/22 + 37\/66. Let r = -2\/33 - z. Which is the closest to 1? (a) -2\/5 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**3 + 1\/5*s**5 - 184 + 1\/4*s**4 - 1\/2*s**2 + 2*s. Factor z(r).\nAnswer: (r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1899316617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9374.06 times 7?\nAnswer: -65618.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*12\/(-32)*(-28)\/(-18).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4779?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -490720000 to the nearest one million.\nAnswer: -491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -51. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*f = 0, -5*t + 0*t + 2*f = -8. Let w(c) = -1 + t*c**2 - 4 + 0 + 4*c - 3*c**2. Give w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -26*v. Let w(x) = 50*x - 1. What is w(o(a))?\nAnswer: -1300*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10572624 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-25)*15\/6. Suppose h*q - 94 - 404 = 0. Let s = -70 + q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322603364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26884*r**3 + 7185*r**3 - 2088*r**3.\nAnswer: 31981*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*o = -74, -36*c + 3124458*o - 3124461*o + 147 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198 divided by -11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:21 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 269042*t. Let n(s) = -s**2. Give h(n(g)).\nAnswer: -269042*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32.61 and 0?\nAnswer: 32.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -255734037 equal to -255734036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32150, -32141, -32128, -32111, -32090, -32065?\nAnswer: -32036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8527*n**2. Let p(t) = -26*t - 6. What is p(b(h))?\nAnswer: 221702*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9723 by -9723.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1769*u**2 + 2*u - 6. Let b be f(5). Suppose 5*v + b + 25771 = 0. Round v to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, j: 4}. What is prob of picking 1 g and 3 j?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 28 - 29 + 5 + a.\nAnswer: a - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 163005767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = -3*p. Let r(d) be the first derivative of d**4\/4 - 2*d**3\/3 - d**2\/2 - 2*d - 7. Let s be r(p). Solve -s*u + 0*u + 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 10.94. Let c be (2\/(-3))\/(66\/(-297)). Put -3, k, 0.5, c in descending order.\nAnswer: c, 0.5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 17*o + 123. Let s be c(-7). Is (206 - -2)*(-11)\/s*-1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/20)\/s)\/((s*s**(1\/19)*s)\/s*s)*(s**(-3))**(1\/25))**(-41) assuming s is positive.\nAnswer: s**(243253\/1900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/2, 23, -5469, 3 in increasing order.\nAnswer: -5469, -0.4, 1\/2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -26206533?\nAnswer: -26206541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + 1.4445516731.\nAnswer: -16.5554483269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -5 + (3 - -1). What is the smallest value in 0.5, t, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66165.\nAnswer: 3, 5, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*f - 75 = 0, 2*r + 2*r = 5*r - 0*f - 2*f - 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b03 (base 12) in base 5?\nAnswer: 22322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/144 and (-1722)\/72*(4\/210)\/(380\/(-475)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 2*h**3 - 6*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -0.39. Let t be 17\/(-34) - 4\/(-3). What is the second smallest value in t, o, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5 - 13*k + 17*k + 15*k + 8 + 2*k**2. Let u be z(-13). Suppose -4*g + u = -22. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, -2, -2584 in descending order.\nAnswer: -2, -3, -16, -2584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-42) - (-38)\/36\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(396) + 1 + 1 - (sqrt(396) + 0)*6) + 1.\nAnswer: -30*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 3, m: 2, b: 3, c: 3, a: 3}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -5, 21\/8, -2\/9, 3 in descending order.\nAnswer: 3, 21\/8, 2\/15, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54218579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(12*k + 33*k + 10*k).\nAnswer: 165*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394772027?\nAnswer: 19, 126040633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*o + 516*o - 73*o + 70*o.\nAnswer: 662*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjjhhjjjhjj. Give prob of sequence hj.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6526 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: What is the remainder when 265 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*h - 294*h**2 + 75*h**2 - 116 - 59 + 7*h wrt h?\nAnswer: -438*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1247\/5 - 251. Suppose 3*o + 7*o - 50 = 0. Suppose 4*h + 3*y = -h + 6, h = -o*y + 10. Sort w, -0.4, h in decreasing order.\nAnswer: h, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbgbbbsgb. Give prob of picking 1 r and 2 b.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 11*h - 22. Let p be q(-8). Solve o - 8 = -3*k, 3*o = -k - p*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2) + -5.\nAnswer: -5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602920.\nAnswer: 2, 3, 5, 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 12:14 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*k - 12, 0 = -5*j - k + 6. Suppose 3*a - 4 = j*a. What is the units digit of ((-2)\/a)\/((-4)\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -26.1. Let o = 78.9 - 77.9. What is the closest to p in o, -3\/7, 3\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.2 + -5.2. Let v = 6 - 10. Let l = -7 - v. Which is the nearest to d? (a) 4 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/21 + (-2090)\/(-627)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = -2*x + 10, 0 = -x + 1. Suppose -u*n + 4*w = -8, -3*n - w - 8 = 2*n. Which is smaller: n or -22\/3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 + 3*q**2 + q**3 - 5*q - 1 + 2*q. Let u = 6 - 9. Let j(w) = 9*w**3 - 5*w**2 + 5*w + 1. Give u*j(d) - 5*y(d).\nAnswer: -2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = 4*v - 13 - 21 - 14, -2*b + 0*v + 2*v = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.7 + 9.7. Let f = j - 58.8. What is f rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2536*z**2 + 2582*z**2 - 109*z + 109*z.\nAnswer: 5118*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 106?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/980 and -47\/3400208.\nAnswer: 17001040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125043.\nAnswer: 3, 41681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.225773464 rounded to four dps?\nAnswer: 0.2258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgellelgelllloglolge. Give prob of picking 2 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 44. Let u = c + 37. Suppose 3*z = f - 6, -3*f + 2*z + u + 0 = 0. Solve -f*k - 4 = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 33, 42, 55?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {i: 1, a: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/6))**(-30))**(-4\/25)\/((t\/(t\/(t\/t**(-4))))\/t**(-10))**45 assuming t is positive.\nAnswer: t**(-3371\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 2, i: 2}. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3288493 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:17 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Let p = m - -58. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23969?\nAnswer: 11, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 5*l + 8. Suppose 29 = l*w - 11. Let y be (-4)\/10 - 36\/w. Which is the second smallest value? (a) y (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - q - 2)*(-5 + 2 + 1)*(16 - 14*q - 16) + (1 - 1 - 2)*(-3*q + 3*q - 7*q**2).\nAnswer: -42*q**2 - 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 2072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, -220, 65 in decreasing order.\nAnswer: 65, -80, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twywtwqqtjttwqqttty. What is prob of sequence qjqt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 35. Let l be 2\/(-6)*(7 - c). What is the tens digit of 38 - (-1 + -1 + l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15841136670972 and -0.4.\nAnswer: 15841136670971.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130049780?\nAnswer: 2, 5, 7, 928927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 - 568*j**2 - 698*j + 53579. Give s(114).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:46 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - q**2 - q + 7. Determine z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0)**(-4\/11))**(-6\/13))**(-25) assuming n is positive.\nAnswer: n**(-600\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 + 18 + -334)*-95. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from {p: 3, n: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - m + 18*m - 1 - 1.\nAnswer: 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 7*u**2 - 8*u - 8. Suppose -f + 2 = -4. Let b = 3 + f. List the prime factors of t(b).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34643 + 34649 - 183*u - 69273 - 166*u - 3*u + 5*u + 0*u + (0 - 3 + 5)*(-3 + 3 - u) - 4*u + 5*u - 2*u.\nAnswer: -350*u + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23372.41 times 0.1?\nAnswer: -2337.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-28))\/(5\/(-30)*(-174)\/29).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1162 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1806788, 3613575, 5420362, 7227149, 9033936, 10840723?\nAnswer: 12647510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from pzccpcpypccp?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 4, m: 3, o: 2, k: 2, n: 1}. Give prob of sequence kimi.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -13d3?\nAnswer: -13d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:02 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25496 = 5*g + h, 66*g - 70*g = 2*h - 20404. What are the prime factors of g?\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22551 and 595.\nAnswer: -21956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 25896*r + 801812. What is a(31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7395858*k**2\/11 + 15384*k\/11 - 8\/11.\nAnswer: -2*(1923*k - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 193*a**2 - 56*a - 22. List the prime factors of u(-13).\nAnswer: 47, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5167064512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 35940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -673 (b) -18\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q + 9 = 0. Suppose 0*n + 3 = -3*n, -s + n = -q. Suppose -4*l - 3*h = -10, 3*h - 4 = s. Solve b = -3*y + l, -2*b - y = 2*b - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4))**2 + 5 - (sqrt(38)\/sqrt(2)*-6)**2.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:59 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 324317*v**2\/2 - 13127640108*v + 3252427769214.\nAnswer: -(v - 247)*(v + 162282)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)\/(q*q**(-4)\/q))\/((q\/(q\/(q\/(q\/q**(-1\/4)))))\/(q*q\/(q**9*q)*q)) assuming q is positive.\nAnswer: q**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbw when three letters picked without replacement from rtzztttrtttdwzbdd.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + 34*v - 30*v - 4*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 320*u**3 - u**2 - 4*u - 3. Let c be y(-1). Let d = c - -325. Solve -3*r - 20 = -d*t + r, -3*r - 4 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 943 and 444727?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 7050 = 6*b. Let p = b - -2242. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -1300, -2930, -5216, -8164?\nAnswer: -11780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5028\/(-16) + 1\/4. Let w = 199 + f. Let o = -86 - w. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4*u**2 - d**4*u - 328*d**2*u**2 - 3*u**2 wrt d?\nAnswer: -24*d*u**2 - 24*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -37*n**2. Let f(t) = -22*t + 100051 - 100051. Give f(o(p)).\nAnswer: 814*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*l + l. Let x = -9 + 8. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z + 19. Let r = 27 - z. Calculate the greatest common factor of 33 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 8*d + 1. Let c(t) = 3*t**2 + 6*t + 1. Let r(v) = 4*c(v) - 3*k(v). Let s(h) = h**2 + 1. Determine -3*r(g) + 3*s(g).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*i + 2*k - 15, 5*k - 40 = -3*i. Calculate the smallest common multiple of i and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -87629?\nAnswer: -4\/87629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, g: 2}. What is prob of picking 1 l and 2 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -716 and 0.16386070321.\nAnswer: -715.83613929679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152975199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-9))\/(8\/(-36)). Is 292*(-21)\/a*1 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1424429511?\nAnswer: 3, 29, 16372753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 4, c: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.5298 rounded to zero dps?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -10, -2*f + 5*k + 900 = 3*f. Suppose -6*u = -u - f. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*1*5 - (0 + sqrt(605) + sqrt(605)) - 1*(sqrt(80) + -2).\nAnswer: -21*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -2 (c) -3 (d) -18 (e) 1 (f) 0 (g) -23.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 1 m when three letters picked without replacement from ebtgggebgtgeemtt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 2)*85\/20. Let x(v) = 3821*v + 9. Let f(q) = -7641*q - 18. Let u(c) = -2*f(c) - 5*x(c). Let b be u(z). Round b to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 38809373*t**2 + 12 - 12 - 38809371*t**2.\nAnswer: 2*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = m + 23. Calculate the highest common divisor of m and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + p**2 + p + 5. Let t(f) = -2*f**3 + f**2 + f + 3. Let j(z) = 5*h(z) - 8*t(z). Let g be j(3). Let n = g + 16. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s**3 - 333*s**2 + 21*s - 17. Let b(t) = 4*t**3 + 83*t**2 - 5*t + 4. Give 25*b(z) + 6*h(z).\nAnswer: -2*z**3 + 77*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130278006 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose -k + 2 = -1. Find the first derivative of 12 + m*f**k - 13 + 2*f**3 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*n + 315 = 0, -9*v + 11*v + 3*n = 137. What is the units digit of 4*(v + 1) - (12 + -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/12 + 23*x**3\/6 + 27*x**2\/2 + 2*x + 4. Let w be i(-22). Solve 10 - 27 = 4*d + c, -w*d = -c + 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310786 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -30*o**3 - 4*o**2 - 21*o. Let t(n) = 31*n**3 + 5*n**2 + 22*n. Let l(m) = 5*c(m) + 4*t(m). What is the second derivative of l(r) wrt r?\nAnswer: -156*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - n = -g - 10, -2*n + 8 = 4*g. Solve -g*t + 10 = 0, 2*d + 3*t = -2*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -9.7, -0.1, 85, 2\/9, 1\/2.\nAnswer: -9.7, -0.1, 0.1, 2\/9, 1\/2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*l + 2*y - 4, -5*l + 3*y = -21. Suppose l*m - 52 = -23*m. Determine o so that 3\/7*o**4 - 12\/7*o + 9\/7*o**3 + 0*o**m + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16043, -32085, -48129, -64175, -80223, -96273?\nAnswer: -112325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/((g\/((g*((g\/(g\/(g\/(g*g\/(g\/(g*g**(-6)*g*g))*g)))*g)\/g*g)\/g)\/g))\/g*g) assuming g is positive.\nAnswer: g**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1062378487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.77023 to 1 decimal place.\nAnswer: -313.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 - 4*y + 3. Give t(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 830750 divided by 1.\nAnswer: 830750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 23 + 28*u - 8*u - 9*u - 84. Let j be d(6). Solve -j*y = 10, -5*y - 5 = -x + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260780 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -34 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501 - 1533 + 504 + 528 - 334*i.\nAnswer: -334*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6616 and -16753.\nAnswer: -11083.7848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**7\/1470 + u**6\/630 - 2*u**5\/105 - 2*u**4\/21 + 17*u**3 - 15. Let t(i) be the third derivative of j(i). Factor t(z).\nAnswer: 4*(z - 2)*(z + 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -4707*o**5\/20 - 823*o**4\/2 + 243*o + 8. What is the third derivative of t(x) wrt x?\nAnswer: -28242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18525 and 23571305?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198148356?\nAnswer: 2, 3, 7, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 - 11*a + 7. Let b be s(8). Suppose 64 = 3*z - b. Suppose -5*k + 3 = -z. What is the smallest common multiple of 5 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 10:17 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/5 (b) 4\/7 (c) 4\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -27*u + 1. What is t(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2335851.7 to the nearest one thousand.\nAnswer: -2336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**5 - 36*k**3 - 16*k**2 + 48*k.\nAnswer: 4*k*(k - 3)*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 - 207*d**3 - 41589*d**2\/2 + 130410*d - 198450.\nAnswer: -(d - 3)**2*(d + 210)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-6) + 16\/(-24). What is the highest common factor of d and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15.02. Let j = v - 3.52. Let d = 15.1 - j. What is d rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-12) + 6\/(-9). Let l be (1 + p)\/(4\/10). Solve 4*f - 5 = -2*c + f, 4*c + l*f = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*y + 5*y + 3370, -2*y + 1364 = 2*a. Suppose 0 = -3*d - m - 3*m - 506, -4*d = 3*m + a. Round d to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 3 = 6*m. Solve 0 = -2*z + 2*c - m, c + 15 = -3*z + 3*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {p: 7, h: 3, l: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 16*y - 26. Give d(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, 1 e, and 1 y when four letters picked without replacement from evluyeeve?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*h - 1 - 2 = 0, 0 = 3*v + 5*h - 19. Suppose u - 1205 = -v. List the prime factors of u.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - 3*h + 5*h)*(1061 - 1061 + 52*h + (1 - 4 + 7)*(4*h - 4 + 4)) in the form d + i*h + v*h**2 and give v.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -345*d*k + 185116*d - 144*k wrt k?\nAnswer: -345*d - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100424 + 43?\nAnswer: -100331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*c**2 + 3*c**2 + 143*c**2.\nAnswer: 213*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 16 = -5*t. Suppose -t = 4*j + 4. Let i(l) = -2*l**3 - 3*l**2 - 3*l + 1. Is i(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**3 - y**2 - 10*y - 1. Let a be 4\/6 - (-40)\/(-6). Let l(b) = 7*b**3 + 11*b + 1. Let c(q) = a*f(q) - 5*l(q). Let t = 9 + -14. Calculate c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n - 173. Let m(i) = 7*i + 156. Let k(j) = 3*m(j) + 2*w(j). Calculate k(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3124 = -27*q - 3286 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:35 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*i**2*m**3 - i**2 + 48*i*m + 2*m**3 wrt m?\nAnswer: -456*i**2*m + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/7660800 and 125\/87552.\nAnswer: 15321600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5 = 11. Let c be (-12)\/(-6) + p\/2. Solve 3*s + u - 1 = c, -s + 0*u + 5 = 5*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0.124. Let j = -0.126 - g. Which is the closest to 1\/3? (a) 0.5 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2. Suppose -6 - 12 = -5*w + 2*c, 3*w - 4*c - 22 = 0. Let z(i) = -23*i**2 - 17*i**w + 35*i**2. What is z(d(f))?\nAnswer: -125*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 70*m**2 - 259*m + 3. Is z(6) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(7\/(3*4\/(-24)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from kukeeuukkuue.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, -0.662, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 + 3*x. Let u = -5 + 7. Let z be l(u). What is the third smallest value in -0.2, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 - (-18 - 0)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 203195, 813116, 1829657, 3252824, 5082623, 7319060, 9962141, 13011872?\n\"Answer: g**3 + 203304*g**2 + 2*g - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/2 - 192*k + 383\/2 = 0.\nAnswer: 1, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 - k + 1. Determine d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32605*w**4 + 130*w**2 + w + 10134395?\nAnswer: -391260*w**2 + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 657\/63)*(0 - -1). Let 6\/7*z - 4\/7*z**2 + j = 0. What is z?\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -12*q**7\/7 + 13*q**3\/3 + 5. What is the third derivative of k(j) wrt j?\nAnswer: -1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14 + (-5)\/(455\/(-962)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzdjwuzwzuwjwwzdz. What is prob of picking 1 u, 2 d, and 1 z?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*x**2 + 80*x**2 - 23*x**2.\nAnswer: 239*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*b**3 + 3 + 870*b**3 - 3.\nAnswer: 485*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -14?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615385.\nAnswer: 5, 123077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -3 - -3)*5. Suppose j - f - 2 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxpqkqgq. What is prob of picking 1 x, 1 p, and 1 g?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 30400*b + 515355.\nAnswer: 5*(b - 6063)*(b - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by (1044\/(-54))\/(2\/(-3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 + (-5 + 1 - -7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 825475.8 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*m = -143*m - 80 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 94. Let v = w - 15. Which is the nearest to 0.07? (a) -5 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 9*a**2 - 7*a + 6. Calculate g(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Let n(w) be the first derivative of c*w**2 - 2 + 0 - 3*w**2. Let v(p) = 2*p. Determine v(n(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.22 and 3.\nAnswer: -21.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 9*k**2 + 4*k + 14. Calculate a(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 109*w**3\/3 + w**2\/2 - 4. Let a be l(1). Suppose -2*r = 10, 3*r = 5*y + 6*r - a. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 7602?\nAnswer: 7602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o**2 + 13. Let j = -15 + 10. Let h(w) = 9*w**2 - 9. What is j*m(z) - 7*h(z)?\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:36 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**2*u)\/u)\/u**(-8))**8*((u*(u*u**0)\/u*u*u)**(6\/25))**(4\/19) assuming u is positive.\nAnswer: u**(41872\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from fnn.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 3. Let a(x) be the second derivative of 5*x**3\/6 - 3*x**2\/2 - 6*x. What is -2*a(t) - 3*z(t)?\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 1, p: 1, x: 3, b: 1, a: 3}. What is prob of picking 2 x and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(-2)))**(1\/11)\/(((m*m**(7\/3))\/m)\/m*m**(-1\/12)))**(1\/21) assuming m is positive.\nAnswer: m**(-59\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 7*t**2 - 10*t + 1. Let b be o(-8). Which is bigger: b or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 - 2*h**2 + 1. Let b be s(-1). Suppose -b*v + 2*v = 0. Suppose v = 2*n + 6, -5*l + 3 = -n - 10. Put l, -3, 0 in decreasing order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2 - 20*a - 18 = 0. Calculate a.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30678455.\nAnswer: 5, 17, 41, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 + 7*f - 2. Let l be u(-4). Let r be ((1 - -121) + -10)*l\/8. What is the greatest common divisor of r and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9488\/13 + -730. What is the biggest value in 0.39, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-78)*6 + 50\/(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5 + 118*m**4 - 4202*m**3 - 18262*m**2 - 13944*m = 0. What is m?\nAnswer: -83, -3, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929*f - 319*f - 313*f - 303*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -12.7 (b) 1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Suppose 0 = -8*g + 5*g. Let l = g - 4. What is the second smallest value in l, -5, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) 3 (c) 0.5 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1671074.\nAnswer: 3\/1671074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a**2 - 16*a - 33. Give t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42836001613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*n + 15 = -v, 5 = 4*v + n. Does 17 divide 154 + v + 4\/(-4)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 94*s - 182. Suppose 8 = 2*q - 2. Suppose g + 160 = q*g. Calculate the remainder when g is divided by v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + 5. Let y(m) = -m**3 - m - 1. Let k(d) = -f(d) - 5*y(d). Find the second derivative of k(s) wrt s.\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 10:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8824, 8800, 8744, 8644, 8488, 8264, 7960?\n\"Answer: -2*a**3 - 4*a**2 + 2*a + 8828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Let y(d) = 242 - 9*d - 401 + 153. Determine 2*m(w) - y(w).\nAnswer: 7*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -510, -1106, -1738, -2424, -3182, -4030?\n\"Answer: -3*o**3 - 575*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**2 - 23*z**2 + 30*z**2 + 26 - 35*z**2 - 283*z**3 - 16.\nAnswer: -283*z**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0 + 0 + (4 - 4 + 1)*(0*a + 3*a - 4*a) + 2*a - 3*a - 3*a)*(-a**4 + 2*a**4 - 3*a**4).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-9) + -6 + -9)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4833*k - 6994 + 3500 + 21321*k + 3494 to the form z + v*k and give v.\nAnswer: 16488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/6 + 239*v\/3 - 2365\/6 = 0.\nAnswer: 5, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -294, -91, 112, 315?\n\"Answer: 203*d - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 + 2691*x**4 - 1410873*x**3 - 5699691*x**2 + 7107870*x = 0.\nAnswer: -1267, -5, 0, 1, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 55*f**4\/12 + 157*f**2\/2 - f + 7. What is the derivative of n(k) wrt k?\nAnswer: 110*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2 - 2*c - 1. Let w(k) = 3*k**3 - 12*k**2 + 5*k + 2. Let b(j) = 5*f(j) + 2*w(j). Determine b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20759 is divided by 4150.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 + 27*j**4 - 78*j**3 - 126*j**2 + 75*j + 99 = 0. Calculate j.\nAnswer: -11, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1764 + 5?\nAnswer: -175d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 858613 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -49*w + 3. Let d(i) = -51*i + 2. Give 6*d(v) - 5*u(v).\nAnswer: -61*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-84)*(2\/3)\/(4\/24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000110001110 (base 2) to base 8.\nAnswer: 270616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4453\/60 + 279\/4. Let i = 19\/5 + q. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80789 is divided by 80758?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*k + 245*k - 3016 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttatttatut. Give prob of sequence ua.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 2*y - y)*(4 + 1 - 3) + 45 + 2*y + 0 - 8 to i + j*y and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101 times 26.2686?\nAnswer: -2.6531286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-52)\/78)\/((-4)\/(-1) - 1923174\/480789).\nAnswer: 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15 = d + r, 3*d - 5*r = 3. Suppose 0 = 4*t - t - 30. Suppose -y + t = -d*y. Which is bigger: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 24*b**2 + 149*b - 827. Calculate q(18).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -128, -122, -114, -104, -92?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**13)**(-4\/7)*(m\/m**(-17))\/(m\/m**(3\/32)*m) assuming m is positive.\nAnswer: m**(5141\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -613*y**4 - 488*y**3 - 188. What is the third derivative of v(h) wrt h?\nAnswer: -14712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 32. Let r be (-51)\/(n + 11\/(-2)). Solve -3*c = 2*c + 3*g - r, -2*c - 4*g = -22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from mtmyxmxtfttt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7330\/3 (b) 0.14 (c) 4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/(-30) - (-797)\/465 and 53\/62.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -9 + 0 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24207 divided by -8069?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(8\/5)*d*d*d*d*(d\/(d*d**(-6\/19)))\/d assuming d is positive.\nAnswer: d**(258\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b = 5. Is (11 + 6)\/(b\/4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5447*d**3 - 8*d**2 - 15*d - 2. Let h be n(-2). Suppose -4*j + l + h = -15485, -3*j + 44280 = -5*l. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 2*f + 40. Let k(d) = d**2 + 13*d - 14. Let c be k(-14). Suppose c = -4*j + f + 14. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9672.11 + -9672. What is the smallest value in l, 4, 13\/6, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 4*s + 4. Let q(y) = -4*y**2 - 5 - 6*y + y + y**2 + 4*y**2. Let v(f) = 5*p(f) + 4*q(f). Let w(r) = -3*r**2. Give v(w(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*m*x**5 - m*x - 9*m - 2*x**5 + 3*x wrt x.\nAnswer: -5400*m*x**3 - 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 15 = 2*v, -3*c - 1820 = 13*v - 1758 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 - -0.23. Let m = s - -0.23. Let r = m - 0.14. Which is the biggest value? (a) 2\/25 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16293\/70 - -744\/35. What is the second biggest value in -2\/5, 5, x, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, -9, -1, -5, -7 in descending order.\nAnswer: 233, -1, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1703 + -1703.00003506. Round h to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a + 5179 - 18079. Let n = -4051\/8 + a. What is the common denominator of n and -121\/100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -u - 13. Solve 0 = 3*n + 3*d - 12, d - 16 = -n - u*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -9*v - 48. Let o be 1*3\/v*-22. What is the second biggest value in -3, 1\/2, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 199*o**3 - 9*o**2 + 3*o - 1. Let m(s) = -199*s**3 + 6*s**2 - 2*s. Determine 3*m(g) + 2*p(g).\nAnswer: -199*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Let y = 345631 + -345630. Sort j, -2, -15, y in descending order.\nAnswer: j, y, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 1.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -21*u**3 - u**2 + 1. Suppose -3*v + g = 7 - 1, -3*g + 4 = 5*v. Is b(v) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 q when four letters picked without replacement from {i: 2, h: 15, q: 3}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 553712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -188*j + 82*j + 90*j + 48. Let w be l(12). Let d = -89 - w. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 276\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 5}. What is prob of sequence rzrr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = 0. Suppose i = s - 4*a, -4*s - 2*a - a + 19 = 0. Let z(k) = 2*k - 4. Let g be z(4). Calculate the greatest common factor of s and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 365*g + 374*g - 695*g - 5 wrt g.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108451115*-5\nAnswer: -542255575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5 + 17*a**5 + 30*a**2 + 8*a**5 wrt a?\nAnswer: 1380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((147\/(-7))\/(-7))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7071473764 to the power of 1\/3, to the nearest integer?\nAnswer: 1919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 5 + 5 + (43*c + 0 + 0)*(3 - 3*c - 3) to t + u*c**2 + q*c and give u.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(363) + 1)*-4 + ((sqrt(360)\/sqrt(192))\/sqrt(10))**2 + -4.\nAnswer: -44*sqrt(3) - 173\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*x + 162*x + y - 24975 = 0, -4*x = -2*y - 19994. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 132.1. Let l = 2.7 - j. Round l to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 7, 3 in increasing order.\nAnswer: -10, -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Factor c**2 + 0*c**2 + 2*c**3 - u*c**4 + c**2 - 2*c**5 + 0*c**4.\nAnswer: -2*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**2 + 2*u + 1. Let l be p(2). Suppose -c + 2 + 1 = 0, -5*c - l = -5*a. Calculate the remainder when 45 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eejo when four letters picked without replacement from {o: 2, e: 2, j: 3, h: 5}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, a: 3, r: 1, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*t + 7*b + 2, -2*t + 5*b = -14. Suppose 823 = -v - 5*a, -2188 = t*v - a - 520. Does 2 divide 6\/(-4) + v\/(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:28 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 6*j**2 + 5*j + 10. Let u(f) = 13*f**3 - 24*f**2 + 21*f + 41. Let a(t) = -2*u(t) + 9*y(t). Let q = 226 - 220. Is a(q) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 3 (b) 0.06 (c) -3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 + 1520*j - 3024 = 0.\nAnswer: 2, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3.951?\nAnswer: -1.1853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -3*w + 1131. What are the prime factors of (0 - -3)\/((-1)\/w*-9)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -39*y**3 + 17*y**2 + 15. Let c(l) = 13*l**3 - 6*l**2 - 5. Give -17*c(r) - 6*u(r).\nAnswer: 13*r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.832 + 6.332. Let y = -0.28 - 0.02. Which is the fourth smallest value? (a) 3\/2 (b) u (c) -0.04 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 + 28\/(-45). Let t = -620.7 + 621. Sort -0.5, t, k.\nAnswer: -0.5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 6\/(-2) - (2 - (0 - -45))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**3\/21 + a**2\/7 + 3. Factor s(u).\nAnswer: 2*u*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 0*k**3 + 2*k**3 + 124998*k + 1002*k**2 + 305456028 - 305582030 = 0.\nAnswer: -251, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)*m*m*(m**5*m)\/m)**(-2\/19))**46 assuming m is positive.\nAnswer: m**(-184\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*-2 - sqrt(102))\/(sqrt(6) + (sqrt(24) - sqrt(864))).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159094 divided by 1.\nAnswer: 159094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (-9)\/3 + 66. Is (5 + -1)*8483\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**5\/5 + 39*j**4\/4 - 73*j**2\/2 + 50. Find the second derivative of f(o) wrt o.\nAnswer: -12*o**2 + 234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/21 and -68\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**3\/6 - 3*p**2\/2 + 7*p. Let s(f) = -6*f - 17. Let w(c) = -34*q(c) + 6*s(c). Let g(v) = 9*v**2. Give w(g(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/125 (b) -0.1 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(-7))**5 assuming l is positive.\nAnswer: l**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -25*v + 2*r, 2*v + 2*r = 0. Which is bigger: v or 26\/45?\nAnswer: 26\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*d + 38, -5*r - d + 50 = -224. Calculate the remainder when 964 is divided by r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-1\/3))\/j)**(14\/11)\/(j**(-14)\/j*j\/(((((j*j*j**(-7)*j*j)\/j)\/j)\/j)\/j)))**(4\/19) assuming j is positive.\nAnswer: j**(980\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 17184.5 to the nearest 100.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 30. Give d(-16).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -3\/2*b**4 - 9\/2*b + 3\/10*b**5 + 3*b**2 + b**3 + 2. Solve m(i) = 0 for i.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 10) to base 14\nAnswer: -18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1 - (4 - (-2 - -15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 9*u + 248. Calculate the remainder when (-5)\/15*3*u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from ppgf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/3 - 17322*v**2 + 225038763*v = 0. Calculate v.\nAnswer: 0, 25983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4370?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-12))\/(6\/24). Let x be 108\/22 + (-65)\/13. Is h at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 + 30*h - 63 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17.34825 millimeters?\nAnswer: 17348.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -6)\/(105 + (-155134)\/1470).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -524478900 divided by 467450\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -12*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 5*y + 2*y. Let d(m) = 493*m + 204. Suppose 5*z + 5 = 0, z - 8 = 2*k - z. Let w(l) = 24*l + 10. Let i(u) = k*d(u) + 102*w(u). What is i(r(b))?\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.132706ml to litres.\nAnswer: 0.004132706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/((-6)\/(-904)). Let z be b\/(-10) + 4\/10. What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268\/(-1206) + (36200\/9)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 2112 = 13*h. Suppose 7*n + h = 13*n. Let m = n - -22. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28088457\/200 + 140442. Let x = 4\/25 + r. Find the common denominator of ((-3)\/1)\/(-42)*-36 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47339, -47132, -46559, -45434, -43571?\nAnswer: -40784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-12)\/4)\/27?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b + 3. Let s be h(2). Let f(k) = -k**3 - 10*k**2 - 14*k - 8. Let m be f(s). What is the highest common factor of 407 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 3*c - 4. Let x be p(5). Let l = x + -58. Let g be ((-3)\/(-5) + -1)\/l. Put -0.1, -2\/5, g, -0.2 in decreasing order.\nAnswer: g, -0.1, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i. Let l(n) = n - 7. Let p be l(8). Let j = i + p. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let h(x) be the first derivative of 97*x**2\/2 + 4. Determine g(h(u)).\nAnswer: -97*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - (-44)\/8. Suppose 2*z - 7*z = 3*q + 14, q + z + u = 0. Let f be 2\/q + 42\/(-280). Which is smaller: 1.8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -7. Which is the fourth smallest value? (a) 4 (b) 3 (c) -1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 36. Calculate the remainder when 49 is divided by i(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d + 4. Let y be ((-1)\/10)\/((-852)\/(-790)). Let i = 2\/213 + y. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14*q**3 + 2*q**2 - 2. What is x(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-325)\/10*(-16)\/5. Suppose 24 = -5*y + u. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426444 (base 7) in base 10?\nAnswer: 74316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15754857*q**2 + 3383175?\nAnswer: 31509714*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-76)\/10 - -8)*10\/2. Solve -12 = a + n*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 395846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10943 + 1083308\/99. Let a = -413 + 4546\/11. Let z = l + a. Is 1 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 17*k + 2. Let w be h(-17). Let s(o) = 6*o - 7. Let x be s(w). Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, g: 1, k: 1, t: 2, h: 2}. What is prob of picking 1 t, 1 h, and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176.8 - -176.5. Which is the third biggest value? (a) 0.2 (b) p (c) -5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/14 (b) -2\/7 (c) -1416 (d) -2\/23 (e) -5\/8 (f) -0.5 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxhhhhhhhhh. Give prob of sequence hhhx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/9)*i*i*i**(-1\/19)*(i**(-2\/19)\/i)\/(i\/i**(2\/63)))**(-7) assuming i is positive.\nAnswer: i**(-260\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b + 24*b + 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8*-82 - -3. Suppose 5*w - 13 = m + t, -3*w = -m - 61. Round m to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -116250.\nAnswer: 2\/3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3 - 16389*f**2 - 2026278*f - 3986976 = 0.\nAnswer: -119, -2, 5584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -130424 (base 6) to base 5\nAnswer: -334244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9369 and 3.\nAnswer: 9369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 19*t**2 - 19*t + 25. Calculate u(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1005, 967, 889, 759, 565?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 7*j - 4. Let b be a(-5). Let i(r) = r**2 + 253*r + 13564. Let f be i(-182). Calculate the highest common divisor of f and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: c89e (base 15) to base 5\nAnswer: 2324244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 166\/913*9108\/(-72)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/5 + (-24)\/(-10). Let j(i) = 3*i**3 + 3*i**2 + 3*i - 1. Does 29 divide j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Let w(g) = g**2 - 4*g + 5. What is the tens digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/5, -2, 0.06 in descending order.\nAnswer: 0.06, -2, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3323*d**3 + 12*d - 11. Is 9 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -480 + 496. Let z(g) = -g**3 + 15*g**2 + 25*g + 7. Is 2 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehxxexexxhxhxxxxhee. What is prob of picking 1 x and 3 h?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 4*z**2 + 0*z**2)*(28*z**2 - 53*z**2 + 8 + 26*z**2) + (-2 + 2 + z**3)*(4*z + 0*z - 3*z).\nAnswer: 2*z**4 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.33258 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0 = 12. Let q = -10\/11097 + -3689\/11097. Which is the nearest to -3\/5? (a) 3\/5 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6537, -5, -2 in descending order.\nAnswer: -2, -5, -6537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*j + 134*j - 2 - 64*j)*(-1 + 0 - 3).\nAnswer: 56*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 51*y**2 + y - 1163. Let r(q) = 99*q**2 + 4*q - 2324. Let f(h) = -5*g(h) + 2*r(h). Differentiate f(p) wrt p.\nAnswer: -114*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 4*a - 2. Let v be i(9). Is ((-1)\/(-1) - -2) + v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let k = 654 + -426. Let m(t) = 117 - 70 - k*t**2 - 47. Calculate w(m(j)).\nAnswer: -51984*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4311014633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.5 - 38.5. Which is the third biggest value? (a) 0.3 (b) y (c) 0 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by -13?\nAnswer: -350\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -317674 (c) 1 (d) 0 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 266464?\nAnswer: -266461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1614 divide 109891013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195.4 - -236. Let v = 3.6 - d. Let k = v - -17. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**3 - y**2 + 1. Let n be m(-1). Let f be (1 - 9)\/8 - (-2 - -6). Put -1, f, n in increasing order.\nAnswer: f, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -457*n - 80. Let t(f) = 685*f + 120. Let d(c) = 8*j(c) + 5*t(c). Differentiate d(a) wrt a.\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.5 - -22. Let p = i + -9. Let b = -32204 + 32204.2. What is the nearest to b in -1, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1393 - -1451. Solve x*z = 52*z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/14 and 35\/488.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - y**2 + 71*y**3 - 125*y**3 + 56*y**3 + 841 + 663 as f*y**3 + l*y**2 + q*y + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 37*h + 78. List the prime factors of m(38).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + x - 10, -8 = -3*x + 4. What is the units digit of 3 - (u + -3) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*y**4 - 166*y**3 + 22683.\nAnswer: 132*y**3 - 498*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 20. Let y = 28 + -19. List the prime factors of w(y).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 22 + -18\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**2 - 2*o + 3. Let v be p(2). Suppose 110 = 3*j - v. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r - 22*x + 21*x, -5*r - 3*x = -30. Solve -3*t = -r*q - 12, 10 = -3*q - t + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Suppose 27 = 4*b - x*w, 4*b - 3*b = -w. Suppose 0 = 3*i + b - 33. Solve 5*l + 10 = -0, -i = 4*t - 3*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315412116 to the power of 1\/3, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*134210.469.\nAnswer: 402631.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10647 and 23660.\nAnswer: 212940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let h(x) = 71*x. What is i(h(k))?\nAnswer: -5041*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 4. Suppose 6*q = q + 900. Let k be 5\/(-3)*q\/(-50). Calculate g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*j**3 + 0*j**2 - 2*j**4 + 78*j**3 - 1 - j**2 - 2*j as f*j + b*j**2 + w*j**3 + m + s*j**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, -2, -9077, 4, 5, 3 in descending order.\nAnswer: 5, 4, 3, 1, -2, -17, -9077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 160970256*s - 16194639572940960.\nAnswer: -2*(s - 201212820)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -28. Let x(k) = -30*k + 5. Let a(o) = 75*o - 12. Let w(d) = i*x(d) - 5*a(d). Does 25 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*x - 745. Let d = -132 - x. Suppose -6*p + d = -2*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/(o*o**(-3)))**6*(o*o\/(o\/o**0)*o*o\/((o\/o**(-2\/5))\/o)*o)\/(o*((o*o*o**(-1))\/o*o)\/o*o)**35 assuming o is positive.\nAnswer: o**(-482\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 11*h + 114000. Round h to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018081 rounded to 6 decimal places?\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -d. Differentiate 2*h**2 - 11 + d*h**2 + 5 - 6 wrt h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32677406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(66 + 11001\/(-171))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3\/2 - 43385*q**2\/2 + 11279715*q\/2 - 98006895\/2 = 0. Calculate q.\nAnswer: 9, 259, 8409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l - l + m, -3*m + 3 = l. Which is the nearest to -0.2? (a) -4 (b) l (c) 2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-1))\/((-16)\/8). Suppose h*r = -5*v + 56 + 117, -r - v = -43. What is the highest common divisor of r and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:56 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -86, -117, -146, -173, -198, -221?\n\"Answer: r**2 - 36*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 14) in base 8?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:54 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 + 5) - -3 - (-1 - -5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 885908 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25331 = -22*h - 7797. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4448 = -4*v + 5*r + 6521, -3*r = 5*v - 13702. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148845.8ml in litres?\nAnswer: 148.8458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*w + 35 - 41 = 0, -u + 2*w + 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.6102 + 2.6112. Let o = 0.301 - i. What is o rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 234 and -819?\nAnswer: -191646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6681095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/461 + -2043\/50710. Let d = -8281\/4 - -91251\/44. What is the common denominator of r and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1565869291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6896 - -6895.8. What is the third biggest value in 2\/1359, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 10. Suppose 5*k = z + 13, z + 3*k = -2*z - 3. Let n be b(z). Solve v - 4 = -n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/24 + r**3\/6 - 2*r**2. Let u(q) = q**2 + 4*q + 5. Calculate 3*l(x) - u(x).\nAnswer: -x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -90*m + 127. What are the prime factors of p(-31)?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14451*a**2 + 6649*a**2 - 19516*a**2 - 11265*a**2 in the form s + y*a + c*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/112)\/(-5) + 1\/4. Let z(m) = -2*m - 3. Let n be z(-3). Which is the closest to y? (a) -2\/9 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59832983?\nAnswer: 7, 2657, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -5 + (-28 - -21) - 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -347*d**3 - 115 wrt d.\nAnswer: -1041*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -4)*3\/2. Solve -3*d = -v*u + 12, 0 = -2*u - 4*d + 5 - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/21)\/((-1)\/6). Put k, 2, -4 in decreasing order.\nAnswer: 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -363 + 373. Let y be (-1 + -1 - -1) + 1. Let q = c + y. Which is greater: 12 or q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9671, -19192, -28713, -38234?\n\"Answer: -9521*g - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942 = 20*d - 718. Calculate the remainder when 90 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(345*r + 6*r + 335*r) + (-3 + 4 - 2)*(1 + 2*r - 1).\nAnswer: 684*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/(-17)*-21*(-4)\/(-12))\/((-9)\/(-6)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x + 8*x - x)*(-x**2 - 5*x - 6*x + x).\nAnswer: -14*x**3 - 140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 1\/30*p**6 + 0 + 3*p**2 + 0*p + 0*p**5 + 0*p**3 - 1\/8*p**4. What is the second derivative of s(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -8. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -2, 15, 0.38, 2\/11?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 13*w**2 + 11*w + 14. What is the units digit of a(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 0.5 (c) -367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 3, -12, 6, -43 in ascending order.\nAnswer: -43, -12, -5, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*y**3 + 124 - 3*y**3 - 6*y + 4*y - 124 to the form t*y**2 + x*y**3 + m*y + s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90512 = -1773*v + 51328 for v.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 25723776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3309, -6617, -9925, -13233, -16541?\nAnswer: -19849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41\/20, -0.204, 3\/4?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80769.95km to micrometers.\nAnswer: 80769950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*h + 8, 3*r - 4*h = -9*h + 12. Suppose g + r*g = -j + 26, 30 = 3*g - 3*j. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by (-712)\/(-36) + 72\/756*(-7)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k = -105*k - 30. Suppose 0 = -k*x + 12. Suppose 0 = -14*c + 13*c + x. Solve -c*t + 4*b = 2*b, 3*t + b = -12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + 64*d**2 - 16*d + 8. Determine c(21).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 14941*m - 14943*m - 4, -5*m = -p + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -83, -432, -1039, -1916, -3075?\n\"Answer: -2*a**3 - 117*a**2 + 16*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.433 + 0.033. Sort 2, a, -4, 0.1 in decreasing order.\nAnswer: 2, 0.1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28755\/213 + -34 - 129\/3?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 14*b - 16. Let i be x(11). Let l = 1596 + -2260. Let n be (-7)\/(-3) + -2 + l\/(-24). Solve 5*f - i = 4*m, m - 4*f + n = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*g - 0*t + 110, 3*t - 85 = 4*g. Let a = 41 + g. What is the smallest common multiple of a and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzznzzzzzzzzpnz. Give prob of picking 1 p and 1 n.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -752173 (base 10) in base 6?\nAnswer: -24042141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Suppose 3*t - 35 = d*n, 2*n = -0*n - 5*t + 5. What is the tens digit of (-31 + -8)*n\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2515*f + 1556. What is the units digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 286067577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5917381 - -5917380. Let q = -14.9 - 0.1. Let d = q + 9. Put j, -4, d in decreasing order.\nAnswer: j, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564 + 5*j**2 - 564 + 4*j**3.\nAnswer: 4*j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 10*o**2 + o - 104. Let f be w(11). Calculate the greatest common divisor of 378 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527 + -527.5. Sort -2, j, 0, 0.2, 4.\nAnswer: -2, j, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34\/13, -3, -42, -0.5, -4, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 1573 = 605. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 113103375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*s**2*x + 2*s**2 + 8*s*x - s - x wrt s?\nAnswer: 138*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27139*k**3*y + 69579*k**3 wrt y.\nAnswer: -27139*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -294400 divided by -400?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)*q**(-16) assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = l - 10, -3*o - 40 = -4*l + 2*o. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7409613 micrometers in millimeters?\nAnswer: 0.0007409613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -507 or -508?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 238\/(-210) + 4\/30. Sort 1, q, -5 in ascending order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21417*g - 663951. Calculate o(31).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(13\/(-2418)*21*(-32)\/224)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 417 = -5*l. Let u be 26\/6*(-2 + -1). Let z = u - -26. What is the highest common divisor of l and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 1 + 537*w - 1125*w.\nAnswer: -588*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 7*o + 9*o)*(-3*o**2 + 2*o**4 + 3*o**2).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-232)*(-190)\/60*-4 - 5\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003374919199 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t**5 + 1299*t**4 + 5083767*t**3 + 133404213*t**2 + 904597356*t + 340819596 = 0.\nAnswer: -526, -13, -2\/5, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2)*q**(2\/15))**15 assuming q is positive.\nAnswer: q**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 519\/1793 or -1?\nAnswer: 519\/1793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 253\/3 + -85. Let t(u) = -u**2. Let p be t(-2). Let l be (-3)\/(-2)*p\/3. Which is the nearest to w? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/5 + 903*o**3\/5 + 7596*o**2\/5 - 55188*o\/5 - 133488\/5 = 0 for o.\nAnswer: -12, -2, 6, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 58. Let q(k) = -k**2 + 4*k - 11. Let d be q(z). Is d at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -276*s**5 - 836*s**4 - 852*s**3 - 300*s**2 - 8*s.\nAnswer: -4*s*(s + 1)**3*(69*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((232\/(-5))\/(-4))\/(101178\/(-1095) + 92)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937000 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 2:49 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.36809 - -0.26809. What is the smallest value in y, -1, -4, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -17 - (7 + -5 - 48 - -2) - 4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 72852718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 148, -3\/4, 27435?\nAnswer: 27435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 5*g**4\/8 - 4*g**3\/3 + 3*g**2\/2 + 3*g. Let c(l) be the first derivative of j(l). Is c(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 23*f - 19. Let r be j(1). Which is the nearest to -2\/7? (a) -0.18 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4 + 0*k**2 - 7*k**2 as h*k**2 + v*k + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + d**2 - 6*d - 3 - 2*d - d. Let h(r) = -5*r**3 + 2*r**2 - 10*r - 4. Let p(g) = 6*c(g) - 5*h(g). Suppose -2 - 3 = -u. Give p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 21*h - 1. Let p(r) = 10*r - 1. Calculate -5*p(g) + 3*u(g).\nAnswer: 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-958)\/(-262485)*5223\/(-4). Let m = p + -6\/5833. What is the common denominator of 1\/27 and m?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56951929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = w - 716, 509 = 5*v - 2*w - 666. What is the remainder when v is divided by 150?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v - 20. Let n be 1384\/(-40) - v\/(-10). Let l = -33 - n. Solve 50 = 3*i - 5*r + 19, 0 = l*i - 3*r - 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 7. Suppose 3*c = -d, -f*d + 0*d = -4*c - 10. Suppose d*o = 6*o - 138. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(475) - (sqrt(475) - (sqrt(475) - sqrt(475)*-3)**2))*6 - -2*(-1 + (-3 + sqrt(2736) - sqrt(2736))**2).\nAnswer: -45584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:51 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q + 5. Let d(h) = -111 + 112 + 0*h - 3*h + 2*h. Let z(j) = -12*j + 9. Let t(c) = 3*d(c) - z(c). What is -6*k(f) - 5*t(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + r - r)*(11*r - 2*r - r) + (3*r**4 - 3*r**4 - r**4)*(r - 3*r - 2*r).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2.6.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5\/3 - 508*m**4\/3 + 992*m**3 = 0?\nAnswer: 0, 6, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6)\/((-679)\/(-388)). Let q = 0.5 + -0.42. What is the nearest to -0.2 in j, 0.3, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 87, 8, -1?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5859 times 0.0073?\nAnswer: -42.7707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20 = -4*q + 2*z, -2*z = 3*q + 15. Let h = -5714\/5 - -1148. Let l = q + h. Is -1 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255290 divided by -10.\nAnswer: 25529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -491 and 0.5.\nAnswer: -245.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*w + 3474 - 639 = -1050 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*z + 2. Let n(u) = u**3 - u**2 + u - 4. Let h be n(2). Solve z = q + h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 290*m - 3335. Calculate g(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -357 + -777a0?\nAnswer: -78047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16469.\nAnswer: 43, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 9 = 4*o, -o + 5*d - 14 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 8*i**2 - i - 86. What is j(0)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34421\/155925 - -143\/525. Find the common denominator of n and -29\/1458.\nAnswer: 16038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.89 - 7593.\nAnswer: -7582.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6184\/9, 4\/3, -3\/7, 1.1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-787)\/((-4 + 8)*2\/(-8)). Suppose 2*i = -3*j + s, 847 = -4*i - j + 2396. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:06 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*p + 257 = 0, -2*x = -7*p - 15 - 66. Which is the closest to x? (a) 1\/6 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = 21*z + 2*f + 2098247, -4*z + 1678624 = 5*f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0072442184 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*-2*-2)\/(5*sqrt(10)\/sqrt(2)))**2.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 73. Suppose -2*c = -h + 2*h + q, 0 = 5*c - 4*h + 42. Is 4\/c + (-3891)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 43\/5 - (-2)\/5. Suppose -f + 10 = 5*o + 4*f, 3*o + 2*f = z. Let v be o*(-2 - 104\/(-20)). Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 9*y**2 - 9*y + 12. Let m be p(-10). What is the third derivative of 2*x**2 + 13*x**5 - 20*x**m + 11*x**2 wrt x?\nAnswer: 780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((5\/(-5))\/8). Suppose 0 = 3*l + 12, -5*l - 14 = -i*m - 2. What is the remainder when 12 is divided by 870\/105 + (-3)\/((-21)\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13002203 (base 4) in base 6?\nAnswer: -341255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58980, -58979, -58978, -58977, -58976, -58975?\n\"Answer: f - 58981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 22*w + 63 = 18*w. Let j(u) = -u**2 + 6*u + 20. Calculate j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4}. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:08 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 1048*c - 4 = -1046*c + 2, q + 5*c = -18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202241\/32 >= 131321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1470*u + 1470*u + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -368*c**5 + 695*c**4 - 12*c**3 - 230081*c**2 + 11*c wrt c?\nAnswer: -22080*c**2 + 16680*c - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + s - 618, -11*g = -8*g - 3*s - 909. Let n = g - 305. Solve -w - 4*f + 19 = 0, -2*w - n*f - 2*f = -22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 5*s**2 + 5*s. Let r = -3 - -7. Let h(o) be the first derivative of -o**4\/4 - 4*o**3\/3 + 2*o**2 + 320. Calculate r*v(p) - 5*h(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -13*g + 9*g. Suppose -10*m - g*m = -6228. List the prime factors of m.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -3. Let n = u - -2. Let g = 61\/12 - 16\/3. Which is the closest to n? (a) g (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.053 - 0.553. Let r be (8\/32)\/(10\/(-16)). Sort a, r, 5.\nAnswer: a, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1086\/(-181))\/30)\/(2\/(-1010))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0558610332 - -11?\nAnswer: 11.0558610332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 14*t + 11. Let p be g(13). Let n be ((30\/(-21))\/1)\/(p\/7). Solve n*k - 4 + 14 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 10. Let u(h) = -2*h + 7. Let l be u(5). Which is the biggest value? (a) y (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 257*p + 3634. Let g be c(-14). Let v be (4\/(-6))\/(2\/(-72)). Calculate the highest common factor of v and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 less than 101.057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -553\/6, -0.162, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156073 and 66?\nAnswer: 10300818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) 2 (c) -6 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhqq when four letters picked without replacement from ppqqlqqpqpqqhq?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/43)*g**(-2)*g*(g*g**(-3\/2))\/g*g**(-1\/4) assuming g is positive.\nAnswer: g**(-465\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1415*a + 1427*a - 2826*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2623 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22325 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-462)\/4)\/(-2 - (-10)\/8) is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -50*n + 25. What are the prime factors of q(-6)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**8\/1344 + k**6\/480 - 9*k**2\/2 + 8. Let g(n) be the second derivative of s(n). Factor g(x).\nAnswer: -x**3*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - -2 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16351834 times 43\nAnswer: 703128862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19*l**2 + 9*l - 7. Suppose 7 = 9*w - 29. Suppose -z = -3*m - w*z, z = m + 8. Let j(q) = -10*q**2 + 5*q - 4. Determine m*g(s) + 7*j(s).\nAnswer: 6*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:43 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19206)\/(-81)*225\/50. What is the highest common divisor of y and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*w**2 + 1\/7 - 2\/7*w = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 315*u**4 + 3420?\nAnswer: 1260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s - 5. Let l(n) = 2*n - 1. Let g be l(3). Suppose 4*k - 11 - 15 = -2*i, -k + i = -g. Calculate the smallest common multiple of q(-4) and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15955?\nAnswer: 5, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.9. Let x = -0.2 - 1.8. Let i = 5 + x. Which is the third biggest value? (a) -2\/3 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*r**5 + 406*k*r**4 - 2*k*r**2 + r**4 + r**2 + 49 wrt r.\nAnswer: -60*k*r**2 + 9744*k*r + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c. Let z(v) = 4*v + 33798. What is z(d(s))?\nAnswer: 8*s + 33798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -193*d**2 + d. Let l(p) = -3*p + 58. Calculate l(w(o)).\nAnswer: 579*o**2 - 3*o + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 45*d + 9*d + 7*d + 86 + 26*d as h + r*d and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6494 is divided by 2784?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 9*f**2 - 11*f + 5. Let l be x(3). Let i be (4\/(-70))\/((-2)\/(-20)). Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -8*p - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00166 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.595424kg?\nAnswer: 8595424000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127\/9 + -14. Which is the smallest value? (a) g (b) -5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(28\/(-8) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -1.01. Let p = -1.45 - w. Put 3, 4, 0.4, p in increasing order.\nAnswer: p, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584133553?\nAnswer: 113, 14018881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlldddddlxdl. Give prob of sequence lx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084585 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -314 + 308.81. What is l rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*s**2 - 639415*s + 14417135 wrt s?\nAnswer: 8*s - 639415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 325\/(-105))*(-3)\/(-12)*7.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 24*w - 5. Is m(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55525739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h + 11. Let x = 12 - h. Suppose -x*g + g = -572. Calculate the highest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + 130. What is m rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1725095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 58672691.014465.\nAnswer: 58672695.014465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.033614 + 0.566606. Let w = -0.6 + k. Round w to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 - 4.8. Let m = -6 + 5.9. Sort 2\/3, r, m in ascending order.\nAnswer: m, r, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/57991 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-237)\/2)\/(2\/(-4)). Let d = g + -115. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**2 - 3*n - 1. Let i(m) = 5*m**2 + m. Let h(g) = 4*f(g) + 9*i(g). Let k be h(5). Calculate the greatest common factor of 12 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 112\/40 - 124\/(-20). Sort -4, 5, z, 45 in decreasing order.\nAnswer: 45, z, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-83 - (-150 + 80))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.23307 seconds in microseconds?\nAnswer: 45233070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 379, 380, 383, 388, 395, 404?\n\"Answer: i**2 - 2*i + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 296?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22875 bigger than 25601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, -2\/25363 in ascending order.\nAnswer: -1\/4, -2\/25363, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3773895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/247436546 and -65\/12.\nAnswer: 1484619276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 117194.\nAnswer: 23\/58597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 75*q - 904. Let r be u(-18). Which is bigger: -207 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 + 2 - 3*h**3 + 5 + 21*h**2 wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 5*p)*(0 - 3 + 1) + 4 - 4 + 2*p - 53*p - 5*p + 8*p.\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxbxbxxxxxb. Give prob of picking 2 x.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10248893187 - 8?\nAnswer: -10248893195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpp when three letters picked without replacement from {z: 9, p: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 22*h**2 - 6*h - 3. Let z(v) = 21*v. Give z(p(c)).\nAnswer: 462*c**2 - 126*c - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**6\/12 - 13*a**5\/10 + 47*a**4\/8 - 23*a**3\/6 - 12*a**2 + 18*a - 215. Suppose p(x) = 0. Calculate x.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 655.9338 - -0.0662. Let k = w - 655.96906. What is k rounded to three decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42*(-6)\/(-12) - 21)*-1*(-2)\/(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2\/15, -2, 4 in descending order.\nAnswer: 4, 2\/15, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.008 - 25. Let g = -0.408 + d. Let c be 6\/21 + (-15)\/28. Sort 0.02, c, g in descending order.\nAnswer: 0.02, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + 13134\/11*51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/46*(-23)\/(-69). Is d greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + -19. Let g be ((-6)\/u)\/(6\/20). Let -2\/7*p**2 + g*p + 0 - 4\/7*p**3 + 2\/7*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h**3 - 3*h**3)*(1 - 2 + 0) + 2*h - 2*h + h**3 + (12 - 6 + 6)*(2 - 1 + 1)*(-3*h**3 + 4*h**3 - 3*h**3).\nAnswer: -46*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -838, 0.5, -16\/5, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(176)).\nAnswer: -18 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 + -82. Solve -2*x = c - 1, 0 = -3*c - 2*c + q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(425)*-2 - (-1 + sqrt(425))*2)**2.\nAnswer: -240*sqrt(17) + 61204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:13 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258256501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 15. Let b be i(-14). Let k be 3\/6*b*0. Suppose 2*c + k*c = 42. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222667.\nAnswer: 107, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + s**3 + 5*s - 3 + 3.\nAnswer: 11*s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126944229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a3 + 9?\nAnswer: 5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2734 + -715. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -162, 72, 1, -5.\nAnswer: -162, -5, 0, 1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 423 + 46*w - 423 + (-4 + 0 + 1)*(0*w + w - 2*w) - 2 + 2 - w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 21 = -2*a. Let u(x) = -19*x + 104. What is the least common multiple of a and u(5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.8, 1105\/8, 4.\nAnswer: 0.8, 2, 4, 1105\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -206c6 (base 14) in base 16?\nAnswer: -13166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 783486461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(68276\/(-303)))\/(1\/(-1)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 565*c**2 - 48*c**4 - 1705*c**2 - 1 - c - c**3 + 567*c**2 + 566*c**2 + 3*c**3 to the form n*c**3 + p + j*c**4 + x*c + r*c**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 45*p**2 + p.\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 + 0*c**2 - c**2)*(-30*c - 3*c + 11*c) to i + x*c**3 + o*c + t*c**2 and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -29 - 27 + 58 - 9*w**2 - 2. Let x(y) be the second derivative of 11*y**4\/12 + y. Calculate x(f(t)).\nAnswer: 891*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223281931?\nAnswer: 173, 397, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-30)*(-30)\/(-16). Solve -5*l = -21*h + 17*h - 1, -6 = -l - k*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263280 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: Let d be 14\/3 - (-5)\/15. Let z = 7 - 4. Solve -5*q = -c + 11, q + d = -3*c - z*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - b. Suppose -35 = 4*p - 31. Calculate c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -61*q - 115. Give j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11614*l*n**3 - 3*l*n**2 - 1410*l*n + 59*n**3 - 4*n**2 + 334*n - 61 wrt l?\nAnswer: -11614*n**3 - 3*n**2 - 1410*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:42 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 70. Let q be 7\/g + 41221\/(-247254). Let d = -4821433\/412090 + q. Find the common denominator of d and 34\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45989 or -413888\/9?\nAnswer: -45989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 - (-12 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4450737549.\nAnswer: 3, 31, 47857393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + 2*t + t**3 - t**2 - 5*t**2 - 2*t**2 to the form s*t + l + z*t**3 + j*t**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poqqqdppooolooiio. What is prob of picking 2 q, 1 d, and 1 i?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g + 2. Let i be 0\/2 + (1 - -2). Let h be l(i). Let n be h*(36\/(-16))\/3. Solve -2*b - f - 3*f = 6, 5*b - n = -4*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/7233? (a) -2\/17 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-21))\/(-3*5\/(-270)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 49\/423 (b) -4 (c) -0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(3 - 1) + (-2)\/1. Let x = t - -5. Suppose -x*m + 200 = 35. Calculate the highest common factor of m and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98\/241 - -15739\/3374. What is the common denominator of 41\/12 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (-1 - -2) - -122. Let n be 5\/((-15)\/(-9)) - c\/35. Let b = -2 + 1.92. Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115 = 135*x + 3682 + 5533 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49687 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298270188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-95))\/(91\/364).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440072 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 24 = 0. Suppose 5*w + c = 3*p - 8, -3*w - 5*p - 12 = 0. Let x be ((-120)\/(-36))\/(w\/(-6)). Solve 0 = 2*s - y - 8, 0 = 2*s - y + x*y + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 175 + 468. Let z = n + -527. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 3314311?\nAnswer: -3314302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 168?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - -8. What is the remainder when 91 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -25. Let g = 5 + b. Sort -2\/3, g, -0.4 in decreasing order.\nAnswer: -0.4, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 718 and 141805.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*s - 200, s = -2*s - 4*f - 146. Let t be 18\/(-12)*(-2)\/3 + -31. Let g = t - s. Calculate the highest common divisor of 96 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 13 = 3*k, k = -4*m + 2*m - 9. Let v be (-3 + 6 - 3)\/k. Solve v = n - 3*q, -n + 4*q - 1 = -0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2*(-372)\/(-279).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2173*q - 17. Let m(k) = 4339*k - 29. Calculate 5*i(d) - 3*m(d).\nAnswer: -2152*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u + 4*u - 3*u)*(-69*u**2 - 6*u - 13*u + 73*u**2) to j*u**3 + h*u + z*u**2 + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 77\/2*r**2 + 1\/12*r**4 + 1\/6*r**3 + 3*r - 1\/20*r**5 + 0. Let i be m(0). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 512*d + 10223. Determine g(-20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:35 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:52 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 25, -3*t - 3176*m + 4 = -3174*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -14. Suppose 0*a - 3*j = 5*a - 943, -4*a = i*j - 748. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15277, -30547, -45817, -61087?\n\"Answer: -15270*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1138*k*r**3 + 82*k*r**2 + 257*k + 3*r**3 + 2*r**2 wrt r?\nAnswer: 6828*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 21*c - 6. Let j be d(6). Let r(z) = z - 4. Let a be r(6). Suppose -2*q - 5 = -n, 11 - 31 = -2*n + a*q. What is the highest common divisor of n and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -y - 11. Suppose y*l + 0*l + 105715 = 2*o, -5*l = 2*o - 105739. Suppose 0 = b - o - 295138. What is b rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - 33*p**2 + 26*p - 12. Let x(l) = 4*l**3 + 49*l**2 - 39*l + 18. Let i(h) = 7*d(h) + 5*x(h). Suppose 5 = 17*y + 58 - 274. Calculate i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852083477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6232 + -18676\/3. Determine b, given that 20\/3*b**4 - 20\/3*b**2 - 5*b**3 + j*b - 5\/3*b**5 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10219*a - 2160 = 10159*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d**4 + 5*d - 19*d + 9*d wrt d?\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 4*b**2 - 6*b - 6. Let x be a(-3). Suppose 2*r = -5*m + 45, -6*m + x*r = -m - 20. Suppose 0 = -m*w + 509 + 506. List the prime factors of w.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/(-13 + 26)*3. Let d(s) be the third derivative of 5\/24*s**4 + w*s**2 - 2\/3*s**3 + 0*s + 0. Determine d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrssrrr. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*g**3*i + 3*g**3 - 3*g**2 + 6*i + 10154 with respect to i.\nAnswer: -37*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, z: 2, u: 1, p: 2}. What is prob of sequence au?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 5*t = 27*t + 20. Which is the second smallest value? (a) 3 (b) -5 (c) 8 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a**2 - 712*a - 41*a**2 + 25*a**2 + 6.\nAnswer: a**2 - 712*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y. Let h(p) = -224*p + 931*p - 234*p - 226*p - 229*p. Calculate h(c(b)).\nAnswer: 126*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -155312221 (base 6) in base 10?\nAnswer: -3337717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 3*z + z**3 + z**2 - z**4 - 3*z**3 as b*z**3 + n*z + g*z**4 + q + l*z**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.384 - 0.37. Let q = -0.044 + b. Let r = q + 0.23. Sort 3, r, 0.5, 2 in descending order.\nAnswer: 3, 2, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6212875.\nAnswer: 5, 23, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 16952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76.25 - -76.35. Let s = 23\/12 + -5\/3. Which is the closest to h? (a) 1\/8 (b) 0.24 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 10*c + 14. Let f(q) be the first derivative of 2*q**3\/3 - 5*q**2\/2 - 6*q + 57. Let i(z) = -7*f(z) - 3*s(z). What is i(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33669622 and 16126.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/27136 and 121\/8480.\nAnswer: 135680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 + 0\/(-2). Let b be (1\/s)\/(2\/(-8)). Is -2 not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwjllwwwwwwwllll. What is prob of sequence llj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 3*s + (-2*s + 46*s - 3*s + (2*s + 5*s - 10*s)*(-2 - 1 + 4) - s - s + 3*s)*(-33 + 29 - 37) to y*s + m and give y.\nAnswer: -1602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 + 15*s - 3. Let x be z(7). Let k = -1 + 1. Let b = 2 + -1.9. What is the closest to k in 0, x, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119095 is divided by 375?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -1. Let z be (-1)\/(2\/c*-1). Let v(p) = -p**3 - 7*p**2 + 3*p + 69. Let u be v(-5). Solve u*h - 28 = z*l, l + 16 = -2*l + 2*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 3*q - 5*q + 4*q - 14 + 6*q to the form p + h*q and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4740, 10897, 17058, 23229, 29416, 35625, 41862?\nAnswer: 48133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841595.8 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 10:57 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 43 - 157 = -3. Calculate the remainder when 436 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2061015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/120 - o**4\/24 + 11*o**3 - 5*o**2. What are the prime factors of m(0)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 - 10 - 93*d.\nAnswer: -93*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let r = 2.2 - l. Which is the closest to 0? (a) -2 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g - 6. Let j be z(-9). Let u = j + 167. List the prime factors of u.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k - 1. Suppose -5*b - 11 = -3*h, -h = -2*h + 2. Calculate o(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 2. Suppose -n*v = -4*z + 256, -3*v - 16 = v. Suppose 4*t = 79 + 1. What is the highest common divisor of t and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/120 + o**5\/15 - 5*o**4\/24 + o**3\/2 + 10*o**2. Let f be -4 + 4 + -1 + 4. Determine g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-9)\/(-6))\/((-33)\/(-1650)). Suppose -o*d = -6*d - 17784. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4856 divided by 1214.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b + 5. Let c be g(-5). Find the common denominator of -75\/8 and 1 - (-1)\/((-2)\/c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 9:37 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/156*18\/(-12)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppany. Give prob of picking 2 p and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2) + 0 - 0. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 3 - 3)*(2 + v - 2) + 2*v**3 + 2*v**3 + 0*v**3 to k*v**2 + y*v**3 + t*v + u and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3020 (base 5) to base 2\nAnswer: -110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29464 and 441621164?\nAnswer: 14732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40005729 is divided by 3257?\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 168*k + 2053*k + 83 + 819*k.\nAnswer: 2704*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2)*4 + 4.\nAnswer: 4*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*y + 1167 + 972 + 10740 + 993 = 0 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-200)\/(10 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 160. Let q = 71 - k. Let h be 450\/(-3)*(6\/4)\/q. Which is smaller: -76 or h?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827478.2 centuries to millennia.\nAnswer: 82747.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -34*y + 6. Let v be g(-2). Let p = v - 69. Factor 3*t**4 - 4*t**2 - 11*t**4 + 10*t**3 - 493*t**p + 495*t**5.\nAnswer: 2*t**2*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0.2, 2\/7, 18\/13, 1\/19, 14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 + 3. Let a be q(0). Let m = a - -1. Suppose 0*y = m*y + 16. Does -2\/7 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 - -339. Calculate the highest common divisor of 100 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11 = 1. Suppose 3*m - 3 = -6. Let i = -125 + 124.6. What is the nearest to m in i, l, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let y(m) = 10 + 11 - 21 - 5*m. What is x(y(l))?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k**2 + 7*k + 7. Let h(s) be the second derivative of -s**4\/4 + s**3\/2 + 3*s**2\/2 - 121*s. Give 7*h(c) - 3*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -137 + 118 + 13?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1199 - -1200. Calculate the greatest common factor of j and 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 2629.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 29 + 67764*j - 13.\nAnswer: 67764*j + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -653460665 divided by 143.\nAnswer: -4569655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmxwmwcwsc. What is prob of sequence cwcw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 4\/(-8))\/((-2)\/48). Let c(k) = k**2 + 9*k - 12. Is c(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3131 = -v - 970. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 27 = l, l - 5 = -3*k + 16. What is the highest common divisor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {v: 1, b: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394758 (base 13) to base 9.\nAnswer: 2534303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351) + (-2*sqrt(351) - sqrt(351)))\/sqrt(9))\/((sqrt(48)\/sqrt(2))\/sqrt(8)) + 5.\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + (75 - -20) + (-70 - -3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1285733*b**3*t + 52*b**2*t - b**2 + 716*b*t - 11*b - 3*t - 1 wrt b.\nAnswer: -7714398*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-8))\/((-157)\/(-628))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884033 is divided by 18417?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9100727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 16. What is the remainder when 396\/15 + (-2)\/5 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1430 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*g - 43671 = h + 94*g, -3*h - 2*g - 131132 = 0. Round h to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6134.53921 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:07 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -750 + 180. Let k be s\/(-14) + (-16)\/(-56). Solve 3*w - 37 = -2*d - 3*d, -k = -4*w - 5*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*k - 87 = 63*k + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 80?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 15*m - 33. What is the remainder when ((21\/(-14))\/((-3)\/(-172)))\/(-1) is divided by y(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(-1\/9))\/h)\/h**(-6\/11))\/(h**8*(h**(-2\/19)\/h*h)\/h)*(h**(-1)*h)**(-18)\/(h*h**(5\/2)*h*h**(6\/5)) assuming h is positive.\nAnswer: h**(-205747\/18810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*k - 29*k + 1000. Does 3 divide 1*-1 - 25\/(k\/440)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(392)*2)\/(sqrt(28)\/(-2*sqrt(1008))).\nAnswer: -1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/1444671 and -1\/215?\nAnswer: 7223355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 229, 239, 263, 307, 377, 479, 619?\n\"Answer: f**3 + f**2 + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-84)*61)\/(205\/(-615)) and 81\/1316.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56cb1 (base 15) to base 8.\nAnswer: -1033421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44558711*w**3 - 12549055.\nAnswer: -133676133*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 83484\/(-31584)*(-8)\/6. Let l = 28\/47 - w. Calculate the common denominator of l and -21\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:52 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 20*h**3 + 12*h**3 + 34*h**3.\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(0*z**4 + 0*z**4 - z**5) + (-8*z**4 + 0*z**4 + 0*z**4)*(-z + 1 - 1).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42868843*w**4 - 8747494*w**2 - 2*w wrt w.\nAnswer: 1028852232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 16*z**3 - 2*z**2 - 7*z. Let b(v) = -8*v**3 + v**2 + 4*v. Suppose 42*d = 6*d + 10*d + 104. Determine d*r(s) + 7*b(s).\nAnswer: 8*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2686, -5261, -7782, -10249, -12662, -15021, -17326?\nAnswer: -19577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001050048 to 7 decimal places.\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -230544010 (base 6) to base 9\nAnswer: -7877566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -2*h**2 + 1\/8*h**4 + 0 + 0*h + 0*h**3. Let q(x) be the third derivative of -x**4\/24 - 2*x**2. Give q(y(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57584.63mg?\nAnswer: 57584630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0. Let f(b) = -b**2 + 8*b + 7. Let w be f(7). Let r = -15 + w. Does s = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*h + 6 + 5, 0 = -h + 3*k + 15. Let i(y) = 3*y - 3*y**3 + 4*y**3 + 0*y + 0*y**h - 4*y**2. What is i(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27814.81 rounded to the nearest 100?\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -3 + -3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*w - 34*w - 31*w - 6*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297 - -190. Let k = 174 + v. Calculate the highest common factor of 67 and k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = 118*t + 46*t + 328. Suppose 0*i = c - i, -2*c - 2 = -3*i. Put c, t, 1, 0 in descending order.\nAnswer: c, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tar when three letters picked without replacement from xeatxtrp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-7) + 704 + -2. Suppose -8*a + 4*w + 1396 = -6*a, w + r = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -421*f - 1707. Calculate t(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - j + 3)*(-58*j - 290*j - 257*j + 151*j + 2*j - j - 2*j + (-1 - 3 + 6)*(0*j + 0*j - j)) in the form h + p*j**2 + b*j and give p.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5)\/((-3)\/(-10)). Let f = -0.013 - -0.993. Let h = 1.18 - f. Put 1, l, h in ascending order.\nAnswer: h, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110323011113301 + -3?\nAnswer: 110323011113232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 10*c + 11. Let w(f) be the second derivative of -f**3 - 7*f**2\/2 + 3*f. Let y be w(-3). List the prime factors of b(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*x**2 - 1 - 6*x + 8*x**2 + 14*x**2 - x**2 + x**2 - 2*x**2 + (2*x + 0*x + 0*x)*(x + 2*x - x) + x**2 + 2*x - 2*x.\nAnswer: 4*x**2 - 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(4\/3 - 1). Let f = u + 3. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 400516018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50084 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103317 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 8, r: 1, o: 5, v: 3}. Give prob of sequence ccc.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 19. Let c = 20 + -28. Let j be p(c). Solve -7*s + 3*s - 20 = -5*l, 15 = -j*s + 5*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((572\/(-507))\/(-22))\/(2\/(-6))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 270468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -5*a. Let c be -2 - 0 - (-20)\/1. Let x be -1*(39\/c + -2). Which is greater: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1644, 3291, 4940, 6591?\n\"Answer: x**2 + 1644*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 16*q - 9*q - 8*q + 2.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 278 = 4*f, -f + 9 = 5*w - 74. Solve -71 = -y - f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 3. Let a(p) = -p**3 + 7*p**2 + 7*p + 11. Let c be a(8). Let o be (-1 - (c + 4)) + 2. Let y(f) = 4*f - 5. Calculate o*y(j) - 11*l(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 2*h - 82 + 241 - 78.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from dppdpftpppdptffpdp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (67\/2)\/(8\/80) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*p**3\/7 + 1330*p**2 + 7472*p\/7 + 1496\/7.\nAnswer: -2*(p - 187)*(5*p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-210)\/126 + 3840\/9 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:16 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (31 - 41)) + 11 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 5, p: 5, i: 5, s: 2}. What is prob of picking 1 i and 2 r?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwloow. What is prob of picking 1 w and 2 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*l - 9494331 + 9494331 + (2 + 0 - 4)*(-2 + 2 + l) + 17 - 17 - 2*l as h*l + m and give h.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*j, 25*f + 33 = 22*f + 5*j. Let u(b) = -19*b**3 - b**2 + 2*b + 2. What is u(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 405*d - 177717. Determine c(439).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/((-5)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89071 by 5.\nAnswer: -89071\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -36, -72, -122?\n\"Answer: -7*z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366 or -26?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*b + 0*b + 24 = 0, 0 = 4*b - 16. Is (-2)\/o*-2*(-13 - -971) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1441064464 to the nearest integer?\nAnswer: 37961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 673.63385 + -20743.\nAnswer: -20069.36615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12175 - 17*q + 35*q - 127 - 19*q + 4496.\nAnswer: -q + 16544","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.1 + 9.6. Let u = 11 - 6. Which is the third biggest value? (a) h (b) u (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13892873, 27785762, 41678651, 55571540?\n\"Answer: 13892889*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/2)\/(h\/h**35*h*h) assuming h is positive.\nAnswer: h**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 144 = -15*g - 42, -9 = -11*g + 9*g - 5 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(3*m - m + 0*m) + 3*m + 2*m - 3*m + m + 2*m - 2*m)*(-9*m**3 + 10*m**3 - m + 2*m) to u + d*m + y*m**4 + j*m**3 + f*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.58 - -403542280.\nAnswer: 403542264.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -217, -334, -447, -556?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1500*m + 1150. List the prime factors of q(-37).\nAnswer: 2, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5)*(23*s**3 - 5*s**3 + 20*s**3)*(0*s**2 - 3*s**2 + 6*s**2).\nAnswer: 570*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4673.71 - -4725. Let x = 51 - z. Let p = x - 1.01. Which is smaller: p or -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -16. Suppose -r = h*n + 10, 6*r + 12 = 2*r - 5*n. What is the least common multiple of 5 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*o + o + 0*o)*(449802 - 158*o**3 - 2*o - 449802) as u*o + g*o**2 + m*o**3 + d + p*o**4 and give p.\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -142?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.25. Let v = m + -0.3. Let w = -2.95 + v. What is the smallest value in 0.1, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c. Suppose -75 = -5*h - c*h. Let y be -70*(2\/(-4) + -1). What is the highest common factor of h and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 1\/5, 5\/3, 2.\nAnswer: 0.07, 1\/5, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.17 + 2.27. Which is smaller: -0.02 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, x: 7}. What is prob of picking 3 x and 1 j?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + (-8 - (-10 + 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15*b. Let p(h) = 4*h + 25641 - 5*h - 25641. Let n(d) be the second derivative of 5*d**3\/6 - 3*d. Let j(g) = -n(g) - 4*p(g). Determine x(j(f)).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.95 - -0.05. Let c = -17 + 12. Sort c, k, 0.5 in descending order.\nAnswer: k, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:15 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 6. Let f be n(4). Suppose 0 = -2*b + k + 7, -2*b + 4*k = -5 - 5. Suppose -h + b*h = 2. Sort f, h, -1.\nAnswer: -1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 7*m**6\/30 - 2*m**5 + 6*m**4 - 16*m**3\/3 + 17*m**2 - 2. Let j(q) = 0. Calculate q.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 2*u + 1. Let k(x) = x**2 - 2. Let w(m) = -2*k(m) - v(m). Let l be w(3). Solve l = -3*f + 5*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 2*f + 0*f. Let c(m) be the third derivative of -2*m**2 + 0*m**3 + 0*m + 0 - 1\/24*m**4. Determine c(w(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {m: 1, a: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 6. Suppose 0*r + r = 2*d + 96, 0 = r. Let b = 55 + d. Calculate o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/23 less than -1510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from {v: 4, t: 3, f: 5}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4761089 or 14283268\/3?\nAnswer: 4761089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-4)\/(-6). Let k be (-2)\/1 + t\/1. Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605) + 0)*-3)**2 + -1*sqrt(605) + 2 - (2*sqrt(605) + 4 - 5*(-1 + sqrt(605)))**2.\nAnswer: 583*sqrt(5) + 16256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - -23 - -42 - 24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1444 (base 8) to base 4\nAnswer: 30210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**17\/u**(-7\/6) assuming u is positive.\nAnswer: u**(109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 3. Let n be f(-4). Let j be n\/3*72\/3. Suppose 5*k - k = j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 9*v - 7. Let l be q(-10). Let s = l - -22. Solve 0 = -s*u + 3*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**(-16)\/(w**(-20)\/w**(-1\/26)) assuming w is positive.\nAnswer: w**(5095\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and 66014.\nAnswer: 66028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + 12*g + 13. Let n(r) = r**2 + r + 1. Let v = -11 + 7. Let z(u) = v*n(u) + d(u). Let x be z(-6). Sort -4, x, 4 in ascending order.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -603 + 850. Suppose -4*u - p = 29. Round u to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((-2*sqrt(150) - sqrt(150)) + sqrt(150)) - sqrt(150))\/((sqrt(96)\/sqrt(4) + sqrt(24))\/sqrt(8)))\/((-5*sqrt(960))\/(sqrt(24)\/(-2*sqrt(4)))).\nAnswer: sqrt(5)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85557, -85576, -85607, -85650, -85705?\n\"Answer: -6*s**2 - s - 85550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 9*h**3 - 11*h**3 - 2 + 3 + 5*h**2 in the form x*h**2 + n*h + r*h**3 + q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4095 - 3943. Calculate the remainder when t is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-20*(-33)\/165. Solve k - 4*n + 3 = 0, -k - k = j*n - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:41 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.4. Let d be (-4)\/(-6) + (-5)\/12. Let f be (-27)\/5 + 4\/18 + (-559)\/(-117). Which is the nearest to d? (a) f (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 0, g - 5*k = 5 + 2. Suppose -h + g = -3. Suppose 7*f + 5 = -4*y + 2*f, 5*f + h = -y. Solve -3*r + 12 = -y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -2\/339 (c) 0.2 (d) -15506.1 (e) -1\/6 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 3*g**2 + 136 - 64 + 3*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 15*w - 15. Solve -x + 10 = f, -f = 3*f - x - w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 34 - 21 = 0. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(400) - sqrt(192)\/sqrt(48))\/((sqrt(96) + -3*sqrt(96)*-1)\/sqrt(12))*2)**2.\nAnswer: 729\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101546 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 the highest common divisor of 49166 and 468702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978637948.\nAnswer: 2, 7, 43, 1643387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19346 + -9736. Is 31 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/15 - g**4\/3 - 2*g**3\/3 + 10*g**2. Let x be a(4). Let m = x + -25. Solve 3*n - 5*r = -22, 4 = -m*n - 0*r - 4*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/10711411?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 5, b: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5 + 200*n**4 - 2288*n**3 - 5408*n**2 = 0. Calculate n.\nAnswer: -2, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 1 + 1)*(-3*s - 2*s**3 + 3*s) - 3*s**4 + 3*s**4 - s**5.\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 19*m - 3. Let x be k(-6). Suppose x*p - 2*n + 6*n = -11, 5*n + 40 = 5*p. Factor 0*t + 0*t**2 + 0 - 3\/2*t**p.\nAnswer: -3*t**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(24\/(-30)))\/(85*(-25)\/62050).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, s: 4, l: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 9*u**2 + u - 1. Let r = -10 + 19. List the prime factors of b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 717969 divided by 3759.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 8*i - 332. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/45*-3*(2 + -4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0 - 1\/6*h**3 + 0*h**4 + 1\/20*h**5 - 47*h - h**2. Let x(u) = u**2 - u. Let q be x(0). Determine p(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2496 and 14560.\nAnswer: 87360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202186 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92295)\/(-25) - 4\/(-20). Suppose 19*m = 9506 - f. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 36*b**2 - 222*b + 184.\nAnswer: 2*(b - 4)*(b - 1)*(b + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -299 - -304. What is the nearest to 1 in 0.4, 2, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let l = 72 + -166. Let x = l + 90. Which is the nearest to p? (a) 1 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 7:25 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, 4, -7, 6\/283, 3\/7, -0.1.\nAnswer: -7, -0.1, -1\/20, 6\/283, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41b5 (base 13) to base 6.\nAnswer: -110053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*w + 6 - 2, 3*d = 4*w + 2. Let k(o) = 66*o - 27. Let i(z) = -5*z + 2. Calculate d*k(g) - 27*i(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11890497 divided by 8427\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478 - 36418.8.\nAnswer: -36896.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 273 + 224505?\nAnswer: 225000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3 + 7*z**2\/2 + z. Differentiate u(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 14*p**2 + 5*p - 2. Let d be a(14). Let x = d + -23. Suppose -k = -2*j - x, -4*k + 2*j + 85 = -71. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 + 2*c**5 - 6*c**5 + (4*c**5 - 2*c**5 - 4*c**5)*(-4 + 0 + 5) + (-199186 + 199186 + 466*c)*(0 + 3 - 5)*(4*c**4 - 6*c + 6*c).\nAnswer: -3734*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -5*u + 7 - 10 - 0, 3*u = j - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.842? (a) 339 (b) -2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18\/37 - -200\/259. What is the closest to -1 in -4, p, -0.3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00124479 to 6 decimal places.\nAnswer: -0.001245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(13\/(56\/(-12) - -4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**(-48)\/((m**0*m)\/m**6)*(m\/(m**1\/m))**(-3\/28)\/(m\/m**(1\/3)*m*(m*m**(-3\/5))\/m) assuming m is positive.\nAnswer: m**(1607\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(((c*c**23\/c)\/c)\/c))*c)\/c)\/c*c*c*c**(2\/25)*c assuming c is positive.\nAnswer: c**(602\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 8, 1, -4 in descending order.\nAnswer: 19, 8, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-21 - -54) + -24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -30*a + 29*a - 11, 5*a = -3*b + 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 1. Let i(t) = -5*t**3 + t + 3. Suppose -110*x + 30 + 80 = 0. Determine x*i(g) + 3*d(g).\nAnswer: -8*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 16)\/(4\/((-8)\/5)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/(-27)*(-9)\/(-4). Let w be (24\/9)\/(1\/g). Let p = w - 23. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 822, 776, 712, 618, 482, 292, 36, -298?\n\"Answer: -2*o**3 + 3*o**2 - 41*o + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 951, 2137, 3797?\nAnswer: 5931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p - 4. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*w - 2*a, -w - 10 = w - 5*a. Suppose 0 = -4*h - 2*j + 26, -6*h + w*j = -4*h - 19. What is the highest common factor of h and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 481 and 6773.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4\/3 - 50*g**3\/3 - 9960*g**2 + 89960*g\/3 - 60032\/3 = 0?\nAnswer: -112, 1, 2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3)*(18\/(-19))\/3. Suppose -6 = -x - 2. Let o be 0\/(x\/(-2)) - 1. Are g and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.78 + -1.3. Let p = r + 0.35. Let q = -0.17022 - p. What is q rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*4)\/sqrt(12))\/(-2*sqrt(1452)).\nAnswer: -2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = 1. Let w(q) be the first derivative of -4\/3*q**3 + 0*q**2 - 2 + 0*q. What is w(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from uviuuuvuivvuuiuui.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6784 (base 9) to base 10\nAnswer: 5017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = 3*r, -3*r + 0*r + 9 = -3*g. Solve 4*b - 31*t + 35*t + 20 = g, 0 = -5*b + 4*t + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 5*m + 25. Suppose 5*q = 9*q - m. What is the greatest common factor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 - (-3 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*u = g + 44, 2*u = 2. Let b = g - 9. What is the greatest common factor of 49 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.567306673 to 4 dps.\nAnswer: 2.5673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - d. Suppose -15*t = -16*t + 5. Let y be s(t). What is the units digit of (-78)\/y - (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/720 and 1017\/400 + (-775)\/310.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27607406, -27607404, -27607402?\n\"Answer: 2*g - 27607408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 1 - 1)*(-3*y + 2 - 2) + (1 + 4 - 3)*(371*y**2 - 191*y**2 - 70*y**2)*(-12 + 12 - 5*y).\nAnswer: -1094*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 48. Let i = r + 6.8. Sort -1, -0.4, i in decreasing order.\nAnswer: i, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**6\/5 + 11*j**3\/6 - 9*j. What is the second derivative of c(k) wrt k?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 199, 232, 265, 298, 331, 364?\n\"Answer: 33*t + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 6*l + 2. Let o be y(-6). Suppose 2*h + 706 = 4*j - 26314, -o*j + 5*h + 13494 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5579468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y - 18 = 0. Let x be (-3)\/4*3\/y. Let z = -529\/1036 - 9\/148. Which is the nearest to -0.1? (a) z (b) -1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 3*k**3 - 4*k**3)*(k + 9*k - 3*k + (0 + 4 - 6)*(-3 - k + 3)).\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(5\/2))\/(v\/(v\/(v**(8\/11)*v)))*v**(-21)*v*((v**40*v)\/v)\/v*v*v assuming v is positive.\nAnswer: v**(501\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2163 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5387, 9, 39, -5 in decreasing order.\nAnswer: 5387, 39, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -345, -322, -279, -210, -109, 30, 213, 446?\n\"Answer: i**3 + 4*i**2 + 4*i - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 179 and 717\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3) + 20\/12)*1. Suppose u = s*d - 459, -7*u + 6*u = 2*d - 469. Round d to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.4 rounded to the nearest integer?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 12) to base 10\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 16 - 2)*(-27 + 13*b + 27) - 2*b + 6*b + 9*b - 2 + b + 0*b - 2*b to the form z + k*b and give k.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 51*v**2 + 3*v**2 - 20*v**2 + 2 in the form q + n*v**2 + b*v and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:16 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 21*u + 23. Calculate m(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146349509 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 142.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (5 - (-8 - -8)) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*v**2 + 211*v**2 - 106*v**2.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(104)\/(sqrt(8) - -2*sqrt(8))*-3)**2 + (sqrt(1300) - (-1 + (1*sqrt(1300))**2 + sqrt(1300) - sqrt(1300))) + -2.\nAnswer: -1184 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -2. Let x be (-8)\/12*3\/4. Let u = 232 - 228. Which is the closest to q? (a) u (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 1. Let c(f) = f + 1. Let x(q) = q**2 + 3*q - 4. Let n = -5 - 0. Let l be x(n). What is l*m(z) - 4*c(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(3 + 15833*m + 0 + 12005*m - 6598*m - 2).\nAnswer: 21240*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-5))\/(-1)*3180\/(-3816)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 1:10 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2141*-328136.\nAnswer: 702539176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204.2389 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 294 + -239. Let q(g) = -g**2 - 31*g + 9. What is the remainder when q(-21) is divided by s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(17\/(-34)). Let s be 36 + -9 + (n - -4). Suppose s*a + 1060 = 32*a. Calculate the highest common divisor of 53 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 9, 0.4, 22\/7, 1\/11, -5 in ascending order.\nAnswer: -5, 0, 1\/11, 0.4, 1, 22\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50732251919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*z + 88, 3*z = -2*z. Let m = -137\/3 + j. Let q = 2798 - 2794. Which is the second smallest value? (a) -2\/3 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {n: 7, b: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9675 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -5 (c) 5\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c - 17*c**2 + 10*c + c**3 + 5 - 1 + 3*c - 15*c**2. Let y be a(31). Solve -4*q + j = 0, -y*q = -0*j - 2*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 15*t = p + 18, -106*t + 2*p = -526 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8502 and 43927?\nAnswer: 263562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s)\/s)**(-2\/11)*s**(-2\/3)\/((s\/s**5)\/s) assuming s is positive.\nAnswer: s**(155\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2*r**3 + 65. Let y be 2\/(-5) - 108\/(-20). Let j(d) = -9 + 4 + y + d. Calculate q(j(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16773 - 7668. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(140)\/sqrt(4))\/sqrt(7) + sqrt(5) + (-1 + sqrt(5))*3.\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/(-48)*(-8)\/(-426). Let m = -361\/284 - h. Which is the closest to 1\/4? (a) 0.3 (b) m (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9, 4, 5, -2, 266 in increasing order.\nAnswer: -9, -7, -2, 4, 5, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -28334070?\nAnswer: -28334084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.2043s to milliseconds.\nAnswer: 867204.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9861 * 0.08.\nAnswer: 788.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*m**2 - 90*m**2 - 29*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60853 and 11770421.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-10 - 0) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 2. Suppose 1 - 2 = 3*r - 2*p, 5*r + 2*p - 25 = 0. Let l(b) = -5*b**2 - 4. Let z be (0 - 0 - -7) + -14. What is r*l(k) + z*o(k)?\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-1)\/(-849)). Let g = o - 1313. Calculate the common denominator of 12\/8 - (-42)\/(-27) and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283886 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/7 + 180*t**3\/7 - 3450*t**2\/7 + 22500*t\/7 - 46875\/7 = 0.\nAnswer: 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/115*(1 - (-9)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 + 9*r - 2. Let a(m) = -2*m**2 + 4*m - 1. Let l = -425 - -418. Let p(v) = l*a(v) + 3*j(v). Give p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - l - 139. Let y(x) = 13*x. Determine y(m(b)).\nAnswer: 52*b**2 - 13*b - 1807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2916 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 287 - 60269\/210. Let b(a) be the third derivative of 0 + 0*a + 1\/21*a**3 - 1\/42*a**4 + l*a**5 + 4*a**2. Determine f, given that b(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7082 - 495751\/70. What is the common denominator of -19\/35 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.08 - 0.08. What is the smallest value in 3, -1, -0.7, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 905 divided by -4.\nAnswer: -905\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -26, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t - 94. Is 6 a factor of v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*d + 36, -2*s - 4*d = -6*s + 104. Suppose -s*r = -24*r. Suppose r = 8*o - 12*o + 4856. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 26 - 5*h + (3*h + 5*h + h)*(0 - 4 + 6) to the form n + z*h and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91183 less than or equal to 2005995\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61130 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1125366, 2250724, 3376082, 4501440, 5626798, 6752156?\nAnswer: 7877514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1610*s - 804*s - 800*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29916557\/1420 - 21068. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 48 - 50 + 98.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1507654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257181 by -2098.\nAnswer: -257181\/2098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -34*s - 186. Let n(x) = 5129*x. Calculate m(n(i)).\nAnswer: -174386*i - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12 + 3 + 68 + -125 + 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 6437637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-3 - sqrt(1900))**2 - (0 + sqrt(190)\/sqrt(10)))*6.\nAnswer: -6*sqrt(19) + 182400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 170431681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*u = -48189 - 92721. Solve -u*k = -1275*k - 42 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 125*b + 1074. Give y(-115).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 44*x - 17. Calculate h(-15).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3 + 2 + 0 + 0 + (3 - 1 - 1)*(0 - 2 + 0) + 18 + 7 - 6)*(-8*f**2 + 9*f**2 + 0*f**2) to u*f + x + c*f**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.065 + 0.035. Let n = 25 - w. Let t = n + 0.1. What is the closest to -1 in -3\/5, t, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -70\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 3332764.\nAnswer: 13331056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 10*j + 17. Let h be m(2). What is the hundreds digit of (30\/(-24))\/h + 1575\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*(-9 - 0). Find the third derivative of -9*p**2 + 9*p**w - 4*p + 4*p wrt p.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*v = -18*v - 21*v - 2988 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 31 = -17*h + 42. What is the highest common factor of 1875 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**2 + 2717037*o + 38037930 = 0.\nAnswer: -905665, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2227 = -464*o + 333*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*sqrt(153).\nAnswer: -9*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1704500 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -2*v + 8*l + 68*l - 46, 4*v + l + 6 = -244 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1479.\nAnswer: 7395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 4, -1\/5373, 0.3 in increasing order.\nAnswer: -3\/2, -1\/5373, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:33 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/4, 43, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 + o**2 + o - 1. Let g be v(1). Let z be ((-2)\/(-4))\/((-86)\/(-9460)). What is the highest common divisor of z and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from eooabfer.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2)*20\/(90\/9))\/(69363\/17616).\nAnswer: 16\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -85, -128, -171, -214, -257?\n\"Answer: -43*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, -18, 2, 3, -3 in decreasing order.\nAnswer: 21, 3, 2, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 10*s. Let f be (-22)\/3*6\/(-4). Suppose -4*i = y + f, 5*y - i - 50 = -0*i. Solve 3*d + 2*g - 6*g + 7 = s, 0 = 3*d - 3*g + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 - 3*a**2 - 8*a. Let q be r(10). Let n = q + -78611\/30. Let y = n - -283\/15. Find the common denominator of -115\/14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6538312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Suppose -9 - 3 = m*k. Sort -4, -0.5, k in ascending order.\nAnswer: -4, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-4)*(-5 - (-68975)\/13900) and 117\/10?\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-7\/2)*j)\/j)\/j*j**(-11))**(-18)\/((j*j**1)**45)**(7\/9) assuming j is positive.\nAnswer: j**191","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - -16e8?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6.9 times -16.4\nAnswer: -113.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064683787 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 302. Let y(k) = -2*k**2. Calculate y(s(o)).\nAnswer: -8*o**2 + 2416*o - 182408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s**3 - 121*s**3 + 60*s**3.\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 144, 222, 298, 372, 444?\n\"Answer: -c**2 + 83*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) + 64\/16. Suppose 0 = -j*u + t + 71, -4*u - t = -2*t - 93. Calculate the remainder when u is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2, 13.3, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.75412 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15416658 and 5922?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12192 - -13092. Calculate the greatest common divisor of b and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -25*t - 2. Let c(h) = -6 + 2 + 0 + 4 - h. Give i(c(j)).\nAnswer: 25*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125325000 rounded to the nearest 100000?\nAnswer: 1125300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -0.5. Let k = z - 1. Let m = k - 2. Which is the closest to 1\/4? (a) m (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.84804 to zero dps.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -1023, -1092, -1161, -1230, -1299?\nAnswer: -1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o + 9. Let n = -27 - -49. Calculate the least common multiple of n and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916429553.\nAnswer: 13, 2237, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 90*g + 11518. Calculate t(-129).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -398098.009 + 434167. Let d = 36125 - v. Let c = d - 56. What is c rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185 - 152 - 57 - 19)*(0*w**2 - w**2 + 0*w**2).\nAnswer: 413*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:33 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 105183, 425287, 958793, 1705701?\n\"Answer: 106701*i**2 + i - 1519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.429 + -5.539. Let v = -0.11 - k. Let j = -5.05 + v. Do -2 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*3*sqrt(520)*1)\/(sqrt(50)\/(2*sqrt(605))*2).\nAnswer: -990*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3 (b) -1\/4 (c) -852 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8548.\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 112, -3 in ascending order.\nAnswer: -3, 2, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10809, -42554, -95471, -169566, -264845, -381314, -518979, -677846?\nAnswer: -857921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**4\/8 + v**3 + 9*v**2\/4 + 151. Determine j so that r(j) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 - (68 - 37)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 + -1 - (40 - 43)) + 17.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-3)*7*(-60)\/(-18)*(-1)\/(-5)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(1 - 1 - 3*m)*(-m**3 - 3*m**3 + 6*m**3).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439 + -437. Suppose 4*t - t = 2*c + 227, -x*c - 69 = -t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-568)\/(-184) + -3 - (-280)\/(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1335000 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 21*j - 158. Let w be m(28). Calculate the highest common divisor of w and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 16 = -3*f, -3*d - 24 = 2*d - f. Let q be (-3)\/9*5394\/d. Let k = 400 - q. What is the common denominator of -59\/4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 1:45 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qubcbcquccqubbqq. What is prob of picking 2 q and 2 u?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1. Let s(q) = q + 8. Let c(a) = s(a) + 5*v(a). Calculate c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnay when four letters picked without replacement from {y: 3, d: 3, e: 5, h: 2, n: 1, a: 1}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2 + (-35)\/10 + 3. Suppose -o + 30 = 4*o. What is the third derivative of o*l + 7*l**4 - 3*l - 11*l**x - 3*l wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 4 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150.811 - -151. Let b = -0.811 - u. Let n = 2.98 - -0.02. Sort 2\/7, n, b, 7\/5 in descending order.\nAnswer: n, 7\/5, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*a - 17764, 7*a - 8889 = 6*a - l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-2)\/(-4)*18. Let f be (-29)\/9 + (-4)\/r. Let u = f + 0. Let v(w) = -w**3 - w**2 + 5*w + 4. Give v(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/180)\/((-1)\/(96\/12))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/17)\/(n*n**0))\/(n\/n**1)**(-1\/64))\/(((((n\/(n**(-4)\/n))\/n)\/n*n)\/n**(-2\/7))\/(n**3\/n**(-3))) assuming n is positive.\nAnswer: n**(-20\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -12*f**5 - 208448*f**4 - 904246556*f**3 + 8459263080*f**2 + 6342657200*f - 3020644000 = 0.\nAnswer: -8690, -1, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 at most as big as 277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 26*f + 931. What is the thousands digit of g(64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 3*d - 4. Let l be m(-3). Let r be (l\/10)\/(2\/(-4)). Put r, 5, 4 in decreasing order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111139, 111138, 111137, 111136, 111135, 111134?\nAnswer: 111133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28*(6345\/(-90))\/47\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67632385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + 28 + -16 - 18\/2. Let r be 0*3\/18*3. Suppose 0 = 2*k - r*k + 6. What is the nearest to -5 in k, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 0) + (19 - 15) + 12 + 9 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5335 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 18, c: 1}. Give prob of sequence ffc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 7, i: 2}. What is prob of sequence ww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 10*k**2 + 14*k + 38. Let n be u(-11). Solve 4*t = n*p, 4*t + 5*p + 11 = -29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -0*f - f. Let p = 3830 - 3802. What is the remainder when p is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + l + 5*l**2 - 6)*(-17*l - 3*l - 103 + 104).\nAnswer: -100*l**3 - 15*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 3. Let k be t(-2). Suppose -5*u + k = 2*w, -5*u = 3*w + 2*w - 40. Let o be w*(1 + -2)\/(-1). Solve 0*j = 2*q + j + o, 3*q + 3*j = -12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 23*x**3 + 0*x**3 + 10*x**3 + 6.\nAnswer: 33*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - ((-12)\/3 - -27). Let p = -19 - i. Sort p, -3, -3\/8 in decreasing order.\nAnswer: p, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z**5 - 7*z**5 + 5*z**5 + (-3*z**4 + z**4 + 0*z**4)*(-3*z + z - z) - z**5 + 2*z**2 - 2*z**2.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-4*-3*sqrt(4)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1154*c - 252 = -1161*c. What is the highest common divisor of 96 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 2*g + 4. Give d(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6384\/10640 - 54\/75.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476276.\nAnswer: 2, 119069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 21*q**3 - 28*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -706, -2017, -4148, -7093, -10846?\n\"Answer: v**3 - 416*v**2 - 70*v - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - o + 72 = 0, 0 = h - 3*o - o + 3. Let w = h - 26. Is w less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235757 and 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -50495.071 >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1020 in 33, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 13, -0.08, 4\/5, -1, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10828.\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = 0. Suppose g*x + x = 5. What is the third derivative of 10*m**6 - m**5 + m**5 - x*m**2 wrt m?\nAnswer: 1200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11851*s**2 - 1. Let h(d) = -398*d. What is b(h(l))?\nAnswer: -1877245804*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 1. Let q be s(-1). Suppose j = -q*j + 92. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 12:42 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ninv when four letters picked without replacement from {v: 6, i: 2, n: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/(-3))\/(64\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*n**3 - 81168*n - 6*n**2 + 81168*n - 7*n**2 to u*n**2 + p*n + f*n**3 + d and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45 - -149.1728\nAnswer: 104.1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 14. Solve 3*a = l + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5)*(1 + 1 - 1)*(55 - 4*q**2 - 55).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j**2. Let a = -1 - -1. Suppose -b + a*b = 0. Let h(i) = i - i + i + i + b. What is h(y(z))?\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 1, y: 1, z: 1, a: 2}. Give prob of sequence pza.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 9:48 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*1\/(-6)*2. Does 83 divide 5 - -3 - -153 - c*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(3\/7)*b)\/(b\/(b\/(b*b**(-3\/7)))*b))**(-12\/11))**(-6\/13) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 449*c + 1. Let m(x) = 445*x + 1. Calculate -5*m(a) + 6*v(a).\nAnswer: 469*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k - 8. Let g = 6 + k. Let t be ((-6)\/g)\/((-9)\/10). Which is the third biggest value? (a) 1 (b) 1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/144, -487\/3, -0.03 in ascending order.\nAnswer: -487\/3, -0.03, -1\/144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 at most 1\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - ((-2)\/(-5) + (-3)\/(-5)). Let m(q) = -7*q + 9*q - 4 + t. Let s(y) = -4 - 22*y + 0 + 4. Give s(m(o)).\nAnswer: -44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.779 + 32.739. Which is smaller: z or -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3204111 - -110224?\nAnswer: 3314340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/((-20)\/40*140).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2034 and 17604738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w - 7*w. Solve w = f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 0, -3, 13 in decreasing order.\nAnswer: 13, 0, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfwxm. What is prob of picking 1 w, 1 x, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7)**(-3\/26)*n\/n**(-2\/23)*n*n*n*n\/n**(-6)*n)**26 assuming n is positive.\nAnswer: n**(6745\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 69 = 5*y - 2*g, 5*y = -5*g + 80. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**6\/660 - j**5\/110 + 12*j**2 + 20. Let f(p) be the second derivative of r(p). Determine c, given that f(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4574 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s - s)*(-s + 2 - 2)*(1 + 1 + 1 + (5 - 3 - 3)*(1 - 3 + 0)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41 - -35a?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4676000 and 39\/30200.\nAnswer: 706076000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*r - 10 = 0, -r = -n - 5*r - 2. Let w be -1 + 1\/n + 507\/6. What are the prime factors of ((-1)\/(-4))\/((-3)\/(-6))*w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14217 + -37?\nAnswer: 14170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60021436243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -33*f**2\/2 - 35*f - 42. List the prime factors of i(-4).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 82 + 106 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - y = -91732, v + 3*y + 10179 + 20405 = 0. Let d = -1869422 + v. What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -37*u**2 - 2*u - 1742. Let s(z) = 17*z**2 + z + 870. Determine 6*f(r) + 13*s(r).\nAnswer: -r**2 + r + 858","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*p = -902 + 912, d + 10 = 7*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32\/91 + -5\/273. Let f = -477\/16 + -11\/16. Let a = f + 30. Put a, -0.1, y in increasing order.\nAnswer: a, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - d - 13*d**2 - d.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3691345798.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 967554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzlld. Give prob of picking 2 l and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11801, -23555, -35309?\nAnswer: -47063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 2*k + 3*k + (-2*k - k + 5*k)*(-3 + 4 + 0) - 37 + 21*k + 37 as c + o*k and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25201.\nAnswer: 11, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 16*t**2 - 11*t - 17. Let r be w(7). Suppose -24 = -5*v - 6*h + 3*h, r*v + 3*h = 21. Solve 0 = 3*n - c + 9, -n = 2*n - v*c + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1941 + -298. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.43 in -0.2, 0.164, 0, 2, 128?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -12*b**3 - b**2 - b - 3. Let i be d(-2). Let g = i + -49. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -442 - -193. Let v = -118 - h. Let o = -131.000234 + v. What is o rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1002\/(-18))\/(2 + (-21)\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 + 6*h**2 + 6*h + 6. Let n(a) = -1 - a + 4 + 1. Let y be n(5). Let o(j) = -j**3 - j**2 - j - 1. Determine y*q(m) - 6*o(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/9)\/(8\/(-18)). Suppose -2*f - 4*i + 600 = 0, -k*f + 0*f = -i - 935. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -542.7505 and 0.1.\nAnswer: -54.27505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (3 - -20) - (11 + -8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 123224760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 319746607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2325*h**3 + 673*h**2 - 673*h**2.\nAnswer: 2325*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15810 and 323175?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + -1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 9459 + 19530 - 10071.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 12) + (21 - (-9 - -26))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*s**2 - 1448*s + 1952.\nAnswer: -4*(s + 122)*(3*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j**3 + 4*j - 3 - 4\/5*j**5 + 0*j**4 + 0*j**2. Differentiate p(t) wrt t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790, 1551, 2298, 3025, 3726, 4395, 5026?\nAnswer: 5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4206*i. Let t(c) = -5*c**2 + 3352. Determine t(o(g)).\nAnswer: -88452180*g**2 + 3352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a - 104 = -4*d, a - 2*d = -28. Is (-9)\/a + (-34981)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - y - y**3 - 5*y**2 + 6*y**2 - 5*y**2 to the form i*y + t + n*y**2 + g*y**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(-2\/33)\/((r\/(r*r*r*r\/((r\/(r\/r**(-5))*r)\/r*r)))\/(r\/r**(-6\/7)*r)))**45 assuming r is positive.\nAnswer: r**(33735\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let o(a) = a**2 + a + 1. Let y(h) be the first derivative of -5*h**3\/3 - h**2 - 2*h - 3. Let i(w) = 2*o(w) + y(w). Give i(n(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10465, -10728, -11171, -11800, -12621?\n\"Answer: -u**3 - 84*u**2 - 4*u - 10376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/5 - w. Suppose 6*o - 2*o = -8. Is y(o) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 547399933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41740 = 307*v - 12292. What is the lowest common multiple of v and 154?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1740\/30*(-65)\/(-130)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + 45. Let t = 1693 - a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o = 49*o - 15. Put 5, -2, o in increasing order.\nAnswer: o, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 37412646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 397862359 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -659478339, -1318956679, -1978435019, -2637913359?\n\"Answer: -659478340*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o - 6*o**2 - 5*o**2 + 2*o**2 + 2*o as s*o**2 + z*o + i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66977 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*w + 30. Which is the second smallest value? (a) -2\/5 (b) w (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -37, -13, 21, 65, 119?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {f: 1, p: 2, j: 1, e: 1, s: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -142 - 64?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 19. Let f(r) = 3*r + 4. What is the remainder when f(10) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-85) + (-1380)\/170 + 8. Is f bigger than -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226073 is divided by 1292.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -571*h**4\/4 - 223*h + 197. Differentiate b(j) with respect to j.\nAnswer: -1713*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41\/9854083 or -1\/3?\nAnswer: -41\/9854083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 0.1 (c) -21 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636700513 to the power of 1\/2, to the nearest integer?\nAnswer: 25233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = q + 3*q. Suppose x + q = -1. What is the third smallest value in -3, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3 - 0. Suppose -3*g = -49*r + 45*r - 15, -5*r = 3*g - 15. Which is the closest to 2\/7? (a) v (b) r (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27977, 28120, 28341, 28634, 28993, 29412?\n\"Answer: -t**3 + 45*t**2 + 15*t + 27918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*t**3 - 24*t**2 + 24*t**2 + (-t**3 - 4*t**3 - 5*t**3)*(4 - 2 - 4).\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37341095 to the nearest integer?\nAnswer: 6111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -7 (c) -0.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let v = 38 - 38.3. Let y = 10462 + -52302\/5. What is the nearest to y in -5, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let x = 24 - 20. What is the closest to y in x, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*x - 19 + 47 = 0, -a + x = 0. Let u be a + (4 - 0\/6). Suppose -3*w + 9*g = 7*g - 122, 3*w + 2*g - 142 = u. Is w a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 0.1, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)\/(l*l**1) assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -3. What is the least common multiple of 9 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(168) + sqrt(168) + sqrt(168)*-2) + sqrt(168))\/(-5*(sqrt(600) - -3*sqrt(600)) - sqrt(600)).\nAnswer: -sqrt(7)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 728926 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**2\/4 - 145885*i\/2 + 168230875\/4 = 0?\nAnswer: -58925, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*o - 15 - 5 = 0, 2*j = 3*o - 2. Does 18 divide -1*(0 + j + -50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -410 bigger than -410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i + 11. Let q(p) = -27*p + 27. Give 12*m(n) - 5*q(n).\nAnswer: 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + s**4 + 2*s**4)*(17 + 3 + 9 + (5 - 3 - 1)*(4 - 1 - 5)).\nAnswer: 27*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1087 - -1465. Is 54 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - m + 1)*(37416*m - 66331*m + 35223*m) as c*m + n + y*m**2 and give y.\nAnswer: -6308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7108)\/(-24) - (1\/6 + 0). Suppose -5*y = -l - 214. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608893?\nAnswer: 19, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r\/(r*r**(-5\/3)))\/r*r)*r*r*r\/r**10)\/((r*r*r**26)\/r**(-6\/11)) assuming r is positive.\nAnswer: r**(-1228\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3 + q**3 - 3*q**3 - 20 wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31881740.\nAnswer: 2, 5, 11, 144917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.089 - 0.084. Let x = 0.005065 - w. Round x to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2252581423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 8*r. Let b be k(7). Let m be (-2 + 1)*(3 + -4)*b. Let n(f) = f**3 + 7*f**2 - 6*f - 4. What is the remainder when n(m) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/4 + 10*g**4 + 120*g**3 - 8*g + 20. Determine h, given that t(h) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = -0*i. Let d(l) = 2*l - 6*l - l - 3*l**i. Let b(f) = 4*f**2 + 6*f. Let u(w) = -w**2 + 7*w - 1. Let o be u(6). Calculate o*b(v) + 6*d(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261.8*-0.09.\nAnswer: 23.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1372.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -32 - (-11 + 17 - 9).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1215361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/15)\/(152\/1140))\/((-12)\/(-90)*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/38297, 3, -2, 5, -1\/5, 13?\nAnswer: -2\/38297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*w + 22. Suppose -w*y + 15*y = 0. Calculate the common denominator of -57\/2 and 209\/(-88) - (y - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1241 divide 14724465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132857 is divided by 1956.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqqss. Give prob of sequence zqss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*h + 28, 2*h = 3*a + 2 - 6. Let b be -4*((-10)\/h - 4). Solve -5*n + 0*n + y = -b, 1 = -y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/83 at least -2559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r - 2\/3*r**3 + 0*r**2 + 11. Let b(t) = 176*t. Determine o(b(i)).\nAnswer: -61952*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109378 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516190.\nAnswer: 2, 5, 41, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 367443, 367438, 367433, 367428, 367423, 367418?\n\"Answer: -5*w + 367448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 6*d = -37588 + 37684, d + 16 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c + 3*c + c + 6. Let h be j(6). Suppose h*a + a = 7. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((1 + 3)\/2). Let s be (-7100 + c)\/((-6)\/(-12)). What is s rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -525*n + 12780. Calculate y(25).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/69 and -149\/311868.\nAnswer: 7172964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -5395*y**3\/6 + 3475*y**2\/2 + 3232*y. Find the first derivative of b(m) wrt m.\nAnswer: -5395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21474.\nAnswer: 2, 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141308129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.3? (a) 1\/3 (b) -5\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, 310, 1241, 3052, 6037?\n\"Answer: 49*q**3 - q**2 + 5*q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(-2*(-1)\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1778832 and 23\/40428?\nAnswer: 1778832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4 + 1)*1860\/1736 and -49\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 u when four letters picked without replacement from fujjxppnppujpjup.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4209586649 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*f + 67*f = -5400. Solve -3*h - f = -177 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - i - 5. Let z be u(4). Suppose -2*r + 5*y = r - 14, -4*r = -4*y - 16. Find the third derivative of p**2 - 55 + 3*p**r + z wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 + 48*k + 215. What is the remainder when 973 is divided by r(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*r**2 + 8*b**2*r + 3*b*r**2 - b*r wrt r.\nAnswer: -8*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1049713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/7 and -11\/1432.\nAnswer: 10024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 4, 0.2, 100?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Let r(h) = -292 + 71 + 196 - 7*h. What is r(p(o))?\nAnswer: 14*o**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*w + 12, 4*b + w - 32 = -53. Let d = -1.08 + -0.92. What is the nearest to -0.2 in b, 10, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1855.2 + -1743. Let h = 217 - 105. Let q = p - h. Is q at most as big as 2\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/sqrt(175))\/sqrt(6) + -3 + sqrt(288) + 2)*-3)**2 + 0.\nAnswer: -1098*sqrt(2)\/5 + 67203\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (18605*o**2 + 831*o + 3*o**3 + 18590*o**2 - 55781*o**2 + 18588*o**2)*(3 + 2*o - 3) in the form f*o**3 + r*o**4 + k + t*o**2 + w*o and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 198603552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 8 - 4 + 7 - q**3 to the form v*q**2 + d + x*q**3 + y*q and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 + -956. Let s = -391 - h. Is s*4\/4 - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 + 255. Let h(r) = -3*r - 3. What is h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18ce2f (base 16) to base 9.\nAnswer: -3046864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -5*o - 435. Solve 11 = -o*m + 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.52 - -31. Let d = 0.58 - l. What is the smallest value in -2, d, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1123 + -1123.000987. Round w to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*i - 13 + 3, -4*i + 20 = 4*k. Let g = 7\/4 + -9\/4. Is g greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (3 + -1 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1975\/30*(-4)\/(-105). Let l = 1\/126 - g. What is the common denominator of -7\/5 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m + 6. Let b be n(17). Suppose 3*d - b = -8. Suppose 6*h - 3*h - d = 0. What is the greatest common factor of h and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4020 divided by 4.\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4982, 4, -12, -11 in decreasing order.\nAnswer: 4, -11, -12, -4982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1153\/(-18) + 41\/(-8118)*-11 - -12.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 5*k**3\/3 + 100*k**2 + 2000*k + 74. Suppose x(y) = 0. What is y?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3347 - -3416. What is the highest common divisor of w and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16974 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -29. Solve -k*g = 8 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 2. Let o(z) = 5*z - 3. Let p = -14 - -22. Suppose -6 = -4*j + 2*j. Suppose 3*q = -8*u + 5*u - 15, 15 = -j*u + 4*q. Give p*g(n) + u*o(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-592)\/80)*75\/135.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 1) + (2 + 1 - 12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2799401, 2799380, 2799359, 2799338?\nAnswer: 2799317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 978 + -1949. Let s = 1550 + -2214. Let r = s - j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*r**4\/3 + 347618*r**3\/3 - 250164940*r**2\/3 + 238827050*r + 30888375 = 0.\nAnswer: -15\/121, 3, 1435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z + 222 = 5*z - 284 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - -20. What is the remainder when c is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**3\/3 - 3*z**2 + 3*z + 3. Calculate the remainder when 11 is divided by x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 39. Calculate the remainder when 24 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/22)*i\/(i*i*i**(5\/3)*i)*i**(-13)\/(i\/i**9) assuming i is positive.\nAnswer: i**(-569\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 31691*y + 10576*y + 10542*y - 54 + 10575*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(228)*1 - sqrt(228)) + sqrt(228) + sqrt(228))*2*2)\/(sqrt(300) + -6*sqrt(300)*-2 - (sqrt(300) - 1*sqrt(300)*-2)).\nAnswer: -8*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4757 by -9.\nAnswer: -4757\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 244682*r - 244682*r.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from pcupmpcupcpuvccv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let s be o(-1). Let n be (-114)\/(-27) - s\/9. Let x = n - -28. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18*v. Let g(h) = 10*h**2. What is j(g(r))?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -58. Let j be ((-2)\/s - 15\/25)*-1. Suppose 0 = 2*n - 267 + j. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 2:25 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*x + 24 = 0, 3 + 13 = 5*t - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(-72)\/16. Suppose 0 = z + 3*z - 3*s - 71, 5*s = l*z - 56. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 153 = 27*o. Solve -2*t = -7*t + 5, -o = -5*p - 2*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**4 - 40*o**3 - 105*o**2 - 110*o - 40 = 0. Calculate o.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10380 is divided by 221?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -129626.\nAnswer: -4666536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**5\/20 + w**3\/6 - w**2\/2 + 3*w. Let g be 2*(-5)\/(-25)*-15. Let p(a) = 5*a**3 + 5*a - 6. Determine g*o(q) + p(q).\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -25*i**3\/6 + 97*i**2\/2 - 2*i + 25. Is u(-16) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 2. Let r be f(-1). Let o be (84\/70)\/(1\/r). Suppose o*z = 8*z. Let y(t) = t**3 - t + 13. Determine y(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.93 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 28. Let y(a) = a - 6. Determine y(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1229 - -1186.07. Let o = w + -0.07. Let z = o - -46. Is z less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -553615 divided by 2105?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 63.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/3 - 1063*i**3\/3 + 2123*i**2\/3 - 1061*i\/3 = 0.\nAnswer: 0, 1, 1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -52. Suppose 0 = -v*k, -5*r - 6*k + 150 = -2*k. What is the greatest common divisor of 270 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10735783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*n**3 + 0 + 13*n**3 - 23*n**3 - 2 + n**2 to k*n + x + g*n**3 + l*n**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -450*q + 463*q - 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1220, -1218, -1214, -1208?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/12 - h**3\/2 - 7*h**2\/2 - 3*h. Let i be b(5). Solve -j - i = -5*k + 19, -2*k - 5*j + 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 5*o**9\/168 - 3*o**5\/10 - 11*o**2. Find the third derivative of a(l) wrt l.\nAnswer: 1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 5*c - 27. Let x(d) = -3*d**2 - d**2 + 30 + 1436*d - 1440*d. Let v(k) = -6*q(k) - 5*x(k). Factor v(g).\nAnswer: 2*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 1\/9 (c) -2 (d) 0.4 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 14*l**3 - 57 + 176\/3*l**2 - 5\/3*l**4 = 0 for l.\nAnswer: -3, -1, 1, 57\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**2\/2 + 9*k - 7. Give c(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + ((-3)\/3 - -3). Let g = a - -2. What are the prime factors of (-66)\/g*(-8)\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(91))\/(1*sqrt(21)\/sqrt(3)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354\/36 - ((-1320)\/(-30) - 38).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 76800*10*500\/8. Suppose -4*n = n - s. What is n rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d*j**2*w - d*j*w + 1391*d + 236493*j**3*w + 3*j*w - 466*w wrt j.\nAnswer: 22*d*w + 1418958*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55432)\/(-156)*(90\/4 - 0\/(-5)) a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)\/b*b)**(-22)\/(((b*b*b**(-20\/3)\/b*b)\/b)\/b**(7\/6)) assuming b is positive.\nAnswer: b**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Suppose -u = 7*j - 5*j. Is j less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {z: 3, r: 4, i: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(275) + sqrt(275) - sqrt(275)) + sqrt(275) + (2 + sqrt(275))*5.\nAnswer: 11 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9921637 less than 41220?\nAnswer: -9880417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -155?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 174 * -10858.1\nAnswer: -1889309.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/237 and 3\/10.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94832496 and 3168?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 486525348 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*q - 5970 + 5961, 12 = 4*q + 2*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(64) - sqrt(192)*2)*5 + 2*1*sqrt(363) + (sqrt(363) - -1*sqrt(363))**2*-4.\nAnswer: -5808 - 227*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-6))\/(5\/60). Let v be (0 - -1) + (-1)\/(-1). Let k be (b - -9)\/(3\/v). Solve -2*y = -k*p - 4*y, p - y - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 6*z + 2. Let d be i(-6). Suppose 2*r + r + 10 = q, 0 = -d*q + r + 10. Calculate the highest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.845 + -86.911. Let m = -0.066 - v. Let y = m - 50.00000007. What is y rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.09014 (c) -1\/2 (d) -17 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 9*f - 12. Let k be (12\/(-9))\/(2\/(-72)). Suppose -12 = -f*v - 2*g + k, 0 = -4*v + 4*g + 72. Calculate the lowest common multiple of 6 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 522, 1051, 1578, 2103, 2626, 3147?\n\"Answer: -r**2 + 532*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24820 = -5*s + q - 867, -s + 4799 = 4*q. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r**3 + 26*r**2 + 11*r - 11. Let k(m) = -7*m**3 - 9*m**2 - 4*m + 4. Calculate -4*c(g) - 11*k(g).\nAnswer: -7*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36166?\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 687, 1, 64, 3 in descending order.\nAnswer: 687, 64, 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p - p)*(-4 + 2 + 1)*(-23 - 18 - 23 + (-2 + 3 + 0)*(-1 + 2 - 3)).\nAnswer: -132*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5\/5 + 27822*a**4\/5 + 27813*a**3\/5 - 55638*a**2\/5 = 0.\nAnswer: -9273, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (636\/80 - 8)\/(1\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -23*k**3 + 320*k**2 + 16*k + 161. Give a(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/120 - a**5\/12 - 5*a**4\/24 - 53*a**2. Determine s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76000 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 12:33 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbgclbclcbncb. Give prob of picking 1 n and 1 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15350 and 0.005.\nAnswer: -15349.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 6411*j.\nAnswer: -6411*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725083?\nAnswer: 89, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128827296036 + -128827308147.5390106. Let u = -12110.289 - q. Let w = u - 1.25. Round w to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, j: 4, f: 4, u: 1, x: 2}. What is prob of sequence jjf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-2) - -1)\/((-175)\/(-140))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67397517*n**3 - 141684762?\nAnswer: 202192551*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 18694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-12 + 28 - 22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -84, -184, -324, -504?\n\"Answer: -20*y**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, n: 1, f: 2, u: 3, j: 2, s: 4}. Give prob of picking 2 j and 2 s.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4 (c) 1 (d) -1\/5 (e) 1\/9 (f) 1\/14 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*v + 171, -d + 700 = -5*d + 4*v. Let o = 769 + -765. Sort 1, o, d.\nAnswer: d, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6552.97 * 2.\nAnswer: 13105.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -23049 and -24259 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1561, -3120, -4681, -6244, -7809, -9376?\n\"Answer: -w**2 - 1556*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:31 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8451 + -217285685.\nAnswer: -217285686.8451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*z + 9, 1 - 13 = -3*s - 2*z. Solve 5*m = -s*l + 18, 8 = -3*m + 5*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602033512?\nAnswer: 2, 17, 37, 181, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 33*q - 492. What is l(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2436968762 - 3.\nAnswer: -2436968765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3818*n - 2553*n - 2165*n as c + m*n and give m.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/((-3)\/(-3 + -15)). Suppose 0*i = 3*i - y. Let r = i - 33. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) 11 (b) -7 (c) -2 (d) 2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f**3*h**2*o**2 - 34*f**3*h**2 - f**3*h*o - 23*f**2*h**3*o**2 + 2*f*h**3*o - 105*o wrt o?\nAnswer: 38*f**3*h**2 - 46*f**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*l - 58*l + 27*l + 5*l**3 in the form h*l**3 + b + s*l**2 + z*l and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*4*-3)\/(sqrt(1200) - sqrt(1200)*1 - (sqrt(1200) - (sqrt(1200) + 1*sqrt(1200) + sqrt(1200))))*-1.\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/20 - 114\/(-10). Let s = c + -6. Suppose s*r - 102 = -27. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70549 = -32*c - 69941 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(833)*-1 - sqrt(833))**2.\nAnswer: -13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzb when three letters picked without replacement from {l: 1, z: 3, b: 3, d: 5, s: 1}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*m = -302 + 42, -5*m = 5*q - 420. Calculate the remainder when 552 is divided by q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 3*q = -27. Find d, given that 7 - 8 - q*d + 3*d**2 - 5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:16 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114.65 + 185. Let i = a + -69. Let c = i - -0.33. Round c to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - w**2 - 2*w - 2. Let f(d) = 8*d**3 + 5*d**2 + 8*d + 9. Suppose 6*q - q = 45. Calculate q*y(i) + 2*f(i).\nAnswer: -2*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319957872 and 31616?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 - 4*j + 6. Suppose p + 5 = -0*p. What is the remainder when 4\/18 - (-7)\/9 is divided by g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**4\/3 - 25*g**2. Suppose 3*f - 14 + 5 = 0. Let y(t) = 3*t - 7*t + f*t - t. Give y(c(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t - 15*t**3 + 85*t - 167*t.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7565180*d**5 - 1728257*d**2 - 7*d wrt d?\nAnswer: 453910800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -981 - -983. Which is the second biggest value? (a) 9 (b) u (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from {n: 1, f: 2, j: 4, d: 2, y: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2218 (base 9) to base 6.\nAnswer: -11325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7503996.924 to the nearest one hundred thousand.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*r - 40 + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*n + 69275, 4*n + 14*k - 11*k - 92366 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 + -23.5. Let o = 19.2 + u. What is the third smallest value in 4\/5, o, 0.04?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57577.\nAnswer: 13, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1074 - 3.1074. Let v = -2 + 4. Which is the nearest to v? (a) -1\/2 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from {k: 3, y: 9}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19584147 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) 17 (c) 4 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 59. Suppose -3430 = 4*p - w*p. Let v = p - 564. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6*(-3 + 1). Let u(i) = 1 - 6*i + 5 - 4 + g. Let j(l) = -5*l**3 - l**2 + l + 1. Let b be j(-1). Let q(r) = -7*r + 4. Determine b*q(y) - 5*u(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 105068*z + 630355. Calculate i(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 18*z**2 - 1. Let h(q) = -q - 24. Let g be h(-6). Let o be t(g). Suppose -3*i = -10 - 5. Sort -5, o, i.\nAnswer: -5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**3 - 7 + 6 + 0)*(15*s - 15*s - 2*s - 29) in the form m*s**3 + x*s**4 + d + z*s**2 + a*s and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 307\/404 - 26\/(-104). Let i = -36 - -36. Is h less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 35*p**2 - 76*p**2 + 40*p**2. Let c(k) = -4*k**2. Determine w(c(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in 0.4, -13\/4, 2\/13, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 591967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 111121210?\nAnswer: 111121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**2 + 11*l - 5. Let j(m) be the first derivative of 7*m**3\/3 - 7*m**2\/2 + 3*m - 7. Give -8*j(z) - 5*r(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 + 4*f. Let r be x(-3). Let k(a) = -a**2 + 7*a - 4. Let h be k(r). Solve 3 = 3*o - 2*b, 0 = h*o - 4*o + 4*b - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17002679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 - (-9 - 39)) + (-4 + 1 - -33)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c - 5. What is the units digit of w(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-414)\/(-63) + (-8)\/14. Solve 3*i - 6 = s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/(-6))*(20 + (-897)\/45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116885 and 2231?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1000000001?\nAnswer: 1000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 + 460*o**2 + 11865*o = 0. What is o?\nAnswer: -21, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 36 - 44 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/(3\/(-25)*-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - 125.8. Let j = -593\/6 - -98. Let p = -4\/3 - j. What is the third biggest value in 1, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3240 - 4?\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2. Let t(q) = -4*q**2 - 103*q + 31. Let v be t(-26). Let z(c) = -c + 4. Determine v*n(d) + 2*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1962)\/585 - 2\/13.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 461345*j + 7381520. Calculate g(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/80 and (-171)\/120 + (-30)\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*x**3 - 296*x**2*z**2 - 48*z**2 - 5 with respect to x.\nAnswer: 9*x**2 - 592*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -11 in decreasing order.\nAnswer: -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 16998000\/403 and 42178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 81. Let k = c + -114.4. Let j = k - -59. What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l + 1583*l**3 + 20*l - 1584*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1535*t**3 + 2 + 420534*t**2 + 7682*t**3 - 419868*t**2 wrt t?\nAnswer: 55302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 4)*(-3*q + 0*q + q) + 90 + 1910*q + 2382*q - 15940*q - 90 + (3 - 1 + 0)*(2*q + 1 - 1) to w + j*q and give j.\nAnswer: -11642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7080, -11198, -15316, -19434?\n\"Answer: -4118*h - 2962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-1)*(-6)\/4. Suppose 5*p - 6 + h = 0. Let r = -505\/4 + 127. Which is the second biggest value? (a) r (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2*(-1)\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - (-1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 941 = 3*p - 166. Suppose -u = 8 - 14. Let -9*f**2 + 3 - 369*f + p*f - u*f**3 = 0. Calculate f.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 24*x + 5. Let m be i(7). Are m and 223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 5313*u**2 - 42891*u + 346905.\nAnswer: 3*(u - 1779)*(u - 5)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -296719740+-3275\nAnswer: -296723015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27459.738 microseconds?\nAnswer: 0.0004576623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 0*i**3 + i**3 + i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*c**4 + 6*c**2 + 3 + 196*c**4 - 5 + 3*c**2 + c**3 - c as o*c**4 + f*c**3 + p*c + k*c**2 + u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2651 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 - 397\/4. Let v(c) = -c + 0*c - 10 + 2*c - 4*c. Let p be v(-3). Is p equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -4*r + u, 0 = -5*r + 47*u - 52*u + 270. Calculate the remainder when 209 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11153 - -103313?\nAnswer: 114466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35955834653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-4)\/q*q))\/((q\/(q*q**4))\/q)*(q\/q**0)\/q**3)**(4\/29) assuming q is positive.\nAnswer: q**(32\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l**5 - 2*l + (-l**3 + 0 + 0)*(0*l + l**2 + 0*l) + (-3*l**4 - 2*l**5 + 3*l**4)*(0 + 2 - 1).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + (-114 - ((27 - 43) + -2)) + 26\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 + 139 - 7*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k - k**2 - 4*k + 24 - 30. Give q(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1038 = 5*j + 4*h, 5*h - 190 = -j. Let i be (-85)\/j - 1\/(-2). Which is the smallest value? (a) 0.1 (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086991769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 - 164. Suppose -s = 4*s - m. Let f = s - -2. What is the remainder when 94 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7aa + -110?\nAnswer: 69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -132\/71, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031421?\nAnswer: 3, 89, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32633 + -15750. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188400 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267*m**3*w**4 + m**3*w**2 + 5*m**3 - 16*m**2 + 2*m*w**5 wrt w?\nAnswer: -6408*m**3*w + 120*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*d + 629*d + 21 = 3*q, 0 = -2*d for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 51 + 23 = 0. Let j be 992\/3*15\/2. Suppose -5*l + j = 7*i - n*i, -l = -i + 498. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 29*b - 21. What is x(29)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/9)\/((-14)\/21)*-12. Let d be (-2 - (-36)\/(-27))\/((-8)\/v). Sort d, 47, 2 in decreasing order.\nAnswer: 47, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.248 - -25.652. Let s = t + -26. Let i = 1.7 + -2. Which is the nearest to s? (a) i (b) -0.05 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -350, 0, -2.\nAnswer: -350, -8, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20909 and 359779?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - -12)\/(2\/111409) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -144\/13*u - 686\/65*u**5 - 140*u**3 - 764\/13*u**2 - 9 - 3381\/26*u**4. Let y(s) = 0. What is s?\nAnswer: -9, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 55\/2 of a kilometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 36 - 14 = 5*j + 14*z, -2*j - 1 = -3*z for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1527, 5551, 12255, 21639?\n\"Answer: 1340*s**2 + 4*s + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*718\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-130))\/(2\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -77, 3, 4 in decreasing order.\nAnswer: 65, 4, 3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2198198520 to the nearest integer?\nAnswer: 46885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(272) - sqrt(272)) + sqrt(272) + 2 + (sqrt(612) + 2 - -4*-3*sqrt(17)))**2.\nAnswer: -28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 8*h**2 - 64 + 2*h**3 to the form g*h**3 + z*h + t*h**2 + x and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 4. Let l(o) = -o - 1. Let x(g) = -c(g) + 4*l(g). Let a(q) = 2 - 3 - 4*q - 21*q + 24*q. Give a(f) + 3*x(f).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63975.\nAnswer: 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8279*i**2 + 11*i. Let z be k(-1). What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 5. Let w be x(-4). Let s be (3 - 1)\/(0 - 2). Let r be (s\/(-21)*3)\/w. Is r less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**3\/3 - 51340*o**2\/3 + 136142825*o\/3 - 7386940610 = 0.\nAnswer: 174, 5047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r - 5. Let y(k) = -17*k + 6. Let f(z) = -3*n(z) - 2*y(z). Let w(u) = -5*u**2. Give w(f(t)).\nAnswer: -5*t**2 - 30*t - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112*b**3 + 267*b**3 - 32*b + 32*b + 489*b**3 + 350*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 213*h - 6194. What is the remainder when x(36) is divided by 124?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16 - 274*x**4 + 6 + 424*x**4 - 7*x - 21 + 8*x**3 - x**2 wrt x?\nAnswer: 3600*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/(-2))\/(2\/(-3)). Suppose 0 = -0*j - 4*j + 20. Suppose 4 = -2*i + 3*b + 2, 3*b - 37 = -j*i. Solve -4*a - 2*w = -w + 9, 0 = -3*a + i*w - k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5612 + -5612. Let u(q) be the first derivative of 0*q**3 + 0*q**4 - 3*q**2 + 7\/3*q**6 + x*q + 0*q**5 - 7. Find the second derivative of u(i) wrt i.\nAnswer: 280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 393, 594, 795?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 7*a**2 - 26*a - 89. What is b(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 34*z**2 + 4*z - 10. Let r(o) = o**2 + o - 2. Let a(y) = -f(y) + 4*r(y). Let p(x) = -3*x**2. Calculate a(p(k)).\nAnswer: -270*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 678 + 2057. Let d be -2 + (-1 - y\/(-1)). Round d to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Suppose -5 = t*d - 3. What is the units digit of (-240)\/(-3 + -1) - d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 16. Let b = -17 + 6. Let a be z(b). What is the closest to 2\/7 in -5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 2*h + 16, 16*h - 21*h = -2*n - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o + 14. What is the units digit of v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 4, -2\/13, -1, 2 in descending order.\nAnswer: 4, 2, 5\/4, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 487, 737, 989, 1243, 1499, 1757?\nAnswer: 2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11434 (base 5) to base 3\nAnswer: 1012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 4, -0.3, 9952, -15\/4, 1\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282123706499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*x - 1 + (328 - 75 + 33)*(0 - 1 + 2)*(-3 + 2*x + 3).\nAnswer: 570*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.014 + -0.186. Let v be (-10)\/(-14)*(-4)\/(-10). Let p = 0 + 0.1. Which is the nearest to p? (a) n (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (7 - 3) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107405?\nAnswer: 5, 17, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(2) - (sqrt(2) - -1*sqrt(2))) - sqrt(2)).\nAnswer: -6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**3\/6 - y**2\/2 - y. Let d be p(5). Suppose -d*o = 1 + 3. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-2)*(1\/15)\/(1466\/(-80630)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**2\/2 - 15. Let w(z) be the third derivative of z**4\/24 + 370*z**2. Determine 3*a(v) - 6*w(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {u: 1, f: 4, i: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6112071000 to the nearest one million.\nAnswer: -6112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/75 and -91\/10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + 87 - 28*y**2)*(3*y - 2*y + y).\nAnswer: -56*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {g: 10, m: 1, h: 3, s: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 27. Let m = x - -21. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 5 + 4)*(-3 + 2 - 1) + 4 + 0 - 6 - 2696 + 3258 - 1634)*(b - b + 2*b - 2 + 3 + 0*b - 2*b + (-4 + 0 + 1)*(4*b - b - 2*b)) to s + k*b and give k.\nAnswer: 3234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 11:56 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 1 - 5*b**2 + b**2 + 6*b**2 as x*b + j + y*b**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 127 = -17*g. Suppose 5*c + g*h + 60 = 3*h, -5*h + 9 = c. Calculate the least common multiple of 3 and -1 - (c + -5) - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 5*j + 21. Let q be f(7). Let w be (q\/15 - 2) + 1. Put w, -5, -3 in descending order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 216 and -0.38.\nAnswer: 215.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 8. Let t(g) = g**2 + 9*g - 18. Let x be t(-11). Suppose -2*y - 5 = -x*a + 3*a, y + 5*a = 25. What is n(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (25 - 28 - (7 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let m(w) = w**3 - 5*w**2 + 5. Let j be m(5). Let q(d) = 2*d**2 - d + 1. Let l(t) = -t**2. Determine j*l(c) + z*q(c).\nAnswer: -c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eceeeceeece. What is prob of sequence eeee?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -33, -70, -139, -252?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425412.\nAnswer: 2, 461, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3)*3*-2 - (sqrt(3) + sqrt(147) + 5)**2).\nAnswer: 516*sqrt(3) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12478 + 2940.\nAnswer: 15418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-600)\/(-64)) + 913353\/(-53475)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 23160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c. Let i(a) = 288*a. What is z(i(w))?\nAnswer: 576*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 23, 4, -3 in ascending order.\nAnswer: -12, -3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:36 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95440?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 5, f: 1, b: 3, w: 6, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103197520?\nAnswer: 2, 5, 1289969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3. Is 23*(-2 + 9) - f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2905672590 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*q = 0, -4*o - 4*q - 4 = 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8926597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5748177 is divided by 318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 1919*y - 19 = 1921*y, y = 5*k - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -2 + -4 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-15)\/(-170)*14*8\/56\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d - 73 + 73 to c*d + y and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - 15. Let x be c(16). Suppose 5*g + 520 = 5*v, 3*v = -g + 130 + 174. What is the highest common divisor of v and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14*f**3 - 2*f - 2. Let v(d) = -56*d**3 - 9*d - 9. Determine -9*n(m) + 2*v(m).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (86\/(-215))\/(1158\/1110 + (-1)\/1)*8\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, 0.5, -0.24, 1\/3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 1)*((y - y + y)*(4 - 2 - 1) + y + y - y + 3*y + 3*y - 4*y + 0*y + 0*y + 3*y - 4) to the form o + j*y and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/3 - (-720)\/27 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13890 is divided by 1733?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 84?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = b - 1600, -3200 = 23*x - 25*x - 4*b. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 36 + (-2 - (1 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104389*z + 104397*z + 28 = -4*b, 3*b = -51 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(900\/16))\/(10\/135)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 14981900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**2 - 7*y + 3 - 5 + 6*y + 15*y**2. Let f be m(2). Is 1\/(1*f\/308) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 7:34 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5 = -35*z + 30*z - 4, 5*z - 7 = -8*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k + 5. Give r(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3573845 rounded to 3 dps?\nAnswer: 4.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004761 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22*w**2 - 816*w + 32246. What is l(24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/120 + 7*q**5\/60 + q**4\/4 - 7*q**3\/6 - 10*q**2. Let y be l(6). Suppose 70*w - 2395 = y*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 12980\/268083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5423544 (base 6) to base 9.\nAnswer: 447351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hooooahahhohoohao. Give prob of picking 2 o and 1 h.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.905 in -0.08, 0.3, -0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 60. What is the third smallest value in m, -34, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**3 + 1560*t**2 - 76885*t + 819150 = 0.\nAnswer: 15, 43, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 19900696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (690 + 417 + 736 + 661 + 2542)*(-2 + 9 - 2)*(2*l + 1 - 1).\nAnswer: 50460*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1953, 7817, 17597, 31299, 48929, 70493?\n\"Answer: w**3 + 1952*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {k: 2, m: 3, a: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:19 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Let d(v) = v**2 - 5*v. Calculate the lowest common multiple of 9 and d(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1291*y - 59*y - 3605*y + 1 + 101*y + 0.\nAnswer: -4854*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -11. Suppose -x = -2*b + m, -5*m + 65 = 6*b - b. Suppose 2*c + 73 - 193 = 0. Calculate the highest common divisor of c and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 3*r - 5*m, 2*r + 1028*m - 1032*m = -24 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2942.5 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uoaaaauaquqa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -9*u - 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 4}. Give prob of picking 1 z and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -0.04, 5, -4.\nAnswer: -199, -4, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 28168*u\/11 - 334848.\nAnswer: -2*(u - 13952)*(u - 132)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 18 - 41 + 14 - 11*p + 4 to y + m*p and give y.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2\/3)*q))\/(q**9*q*q))**(-32) assuming q is positive.\nAnswer: q**(1216\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293047840 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4479 and 0.4.\nAnswer: 4479.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25010 is divided by 4995.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -405 - -421. Calculate the smallest common multiple of 48 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-102)\/(-9)*(-5 - -8). Suppose 5*n = 25, -2*r + p = -n + 9. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j. Suppose 4*s + 4 = -4*g, -6 = 9*s - 7*s - 2*g. Let u(o) = -2 - 1 + 13*o + 3. Give s*u(z) - 5*p(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/449584 and 91\/112396?\nAnswer: 449584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 35\/14)*888\/(-259).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - (-4*sqrt(5)*3 - sqrt(5)) - sqrt(5) - 2*sqrt(5)*3) + 0.\nAnswer: -35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6245?\nAnswer: 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011172 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*y + 24*y**2 + 14*y**2 - 7 + 3 - 39*y**2 in the form r*y**2 + p + c*y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/6*i**3 + 0*i + 91\/60*i**5 + 0 - 1\/24*i**4 - 4*i**2. Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6160\/(-15) + (-1)\/3. Let s = 1053 + a. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 i when four letters picked without replacement from eshfi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-14)*1372\/2352?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*s + 4*t, 38*s - 37*s + t = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y + 4*u = -204, -3*y + y + 2*u = 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 710627\/61 = 11650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 6, -2, 339, 3 in increasing order.\nAnswer: -3, -2, -1, 3, 6, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512a4 (base 14) to base 9.\nAnswer: -326876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 100 = 10*s. Let p(t) = -6*t**3 + 2*t**2 + t. Let q be -5 + (3\/(-3) - -5). What is the remainder when s is divided by p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - c**2 + 7399*c**3 - 7106*c**3 + c**2.\nAnswer: 293*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 3, s: 2, c: 1}. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 869.23183 + -869. Round k to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -590 divided by -118\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 + 3*c**2 + 3. Let o(q) = -20*q**3 - 16*q**2 - 16. What is 3*o(k) + 16*t(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2, 8.992464 in increasing order.\nAnswer: -5, 1\/2, 8.992464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0 + 2*y)*(-5 - 5 + 2)*(23 - 17*y**2 - 23).\nAnswer: 272*y**3 - 272*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t = 5 + 1351 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 5, 4, 1, 21912 in decreasing order.\nAnswer: 21912, 5, 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 20) + 2 + 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*l + 64 = 0, l - 81 = 3*a - 17. Let o be (-3)\/12*(8 + a). Solve -3*d = -4*r - 17, -o*r = 2*r - d + 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30*((-18)\/(-108))\/((-2)\/(-92)) is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 267, 260, 251, 240, 227?\n\"Answer: -a**2 - 4*a + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Let q(u) = 2*u**2 + 3859*u. Give o(q(d)).\nAnswer: 4*d**2 + 7718*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 763 = -13*i - 7*i + 17*i for i.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593389 is divided by 252.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 + 358*t**2 = 0. Calculate t.\nAnswer: -179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*t**2 + 54*t**4 + 60*t**4 + 77*t**2 - 85*t**2 + 47*t**4 wrt t?\nAnswer: 3864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 56?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19606202 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11 + -4 + -4 + 22 + -6\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -901, -8128, -28505, -68848, -135973?\nAnswer: -236696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 12*z**2 + 3*z + 1. Let x be j(6). Let r = -5 + x. Suppose 0 = 2*l + r - 56. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/16 - 3 - 0. Let q be (8\/20 - (-6)\/(-5))*-20. Let j(k) = -2*k + 32. Let r be j(q). Which is the nearest to 0.09? (a) r (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s)**(-30\/11)\/((s\/(s\/((s*s*(s**(-10)*s)\/s)\/s)))\/(s\/s**(2\/11))) assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/24)\/((-6)\/12) + 4)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 90403*a**2 + 91114*a**2 + 3 + 0 to the form o + t*a**2 + d*a and give t.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.35 and 3.\nAnswer: 76.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/8)\/(-3 - (-33)\/12). Suppose 0 = -4*n, 4*i + o*n - 8 = 7*n. Let g(c) = 5*c - 2. Determine g(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(13)) + -5*sqrt(832) + sqrt(832) - (-3*sqrt(637) - (3*(sqrt(13) + 4))**2).\nAnswer: 62*sqrt(13) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110.912 + -111. Let g = o + 0.08800054. What is g rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1938796 by 202.\nAnswer: 9598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -13*u**2 - 1844*u + 813. Give r(-142).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and 312\/16*14\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from byeybva.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**3 - 2*o**3 + 0*o**3)*(17 - 8*o - 17 + (2*o + o - 5*o)*(4 + 4 - 6)) to the form x*o**2 + l*o + j*o**4 + s + w*o**3 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 53 - (-1 - (-15)\/5). Let y = z - 55. Suppose -5*r - 10 = 4*j - 0*j, -18 = r + 4*j. Which is the nearest to y? (a) 1\/6 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + (1 - (-9 + 18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148 - 448\/3. Let o = -6.7 - -2.7. Let l = 1 + o. Put 2, m, l in increasing order.\nAnswer: l, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2979623, 2979627, 2979631, 2979635, 2979639?\n\"Answer: 4*u + 2979619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*i = -4*k + 5169, 2*k + 3*i = 3450. Suppose -2*v - v = h - 347, v + k = 5*h. Suppose 5*x - 6*q = -q + 350, -5*x + h = q. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 - 748 = l - 5*k, -5*l + 37 = 2*k. Solve -l*i - 26 + 56 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354600 divided by -270920?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 127679533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -16. Is 2 a factor of ((-65)\/(-10) - 2)*t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*m**2 + 480*m**5 - 992*m**5 + 492*m**5 wrt m.\nAnswer: -1200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/44)\/(-1*9\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5) + (58\/5 - -2). Let q = h - 11. Suppose 2*u = -4*f + 70, 7*u + q*f = 2*u + 159. What is the remainder when u is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 235552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:52 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/25)\/t)\/t**(-8)*t\/(t\/(t\/((t\/t**(-12))\/t)))*(t*t**(-5))\/t assuming t is positive.\nAnswer: t**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzllzlzz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 3*a - 430. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-77)*-483 - (-7 - -7) - (1 - -4)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 89. Calculate the remainder when y(0) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1905*o**2 + 6508*o**2 + 680*o**2 to l + c*o + p*o**2 and give p.\nAnswer: 9093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) + (-26)\/(-7). Let q(f) = 0*f - f**2 + a*f + f - 2. What is the units digit of q(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.545661 kilometers?\nAnswer: 8545661000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Let m(g) = -9*g - 6. Let u(b) = m(b) + 4*z(b). Suppose 0 = -5*t - 2 - 8. What are the prime factors of u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/39 and -47\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -62, -111, -178, -269, -390, -547, -746?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*v + 273*v + 271*v + 1 - 1.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29649 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 713, 728, 759, 812, 893?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.15 + -871.95. Round d to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75929.\nAnswer: 7, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (26 - 13)\/(-1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {m: 1, z: 11, s: 1, d: 1, b: 4}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 1761900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppyppmmpmpympc. Give prob of picking 1 y and 1 m.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5347 - -12814. Suppose 20*p = 7*p + g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 11*g + 4. Let n be b(11). Suppose 4*w - 8 = n*f, -3*w = -0*w + 4*f + 1. Let y be (-16 + w)*2480\/6. Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3536 and 2543216.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(7\/5)*(h**(-2\/5)*h)**(-2\/3))\/(((h**(-5)\/h)\/h**1)\/(h*h**0)**(-17)) assuming h is positive.\nAnswer: h**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8509297 to the power of 1\/2, to the nearest integer?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l - 50 - 23 + 7*l + 73. Let t(m) = -340*m**2 - 1. What is t(f(u))?\nAnswer: -5440*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1940.363mm to kilometers.\nAnswer: 0.001940363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1\/70698088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a8 (base 14) in base 5?\nAnswer: -4130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q - 2. Let i be (1 + 2)*(0 + 1). Let f be r(i). Is (1\/(-2))\/((-1)\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39560511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -205?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10194?\nAnswer: 2, 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*r - 6*j - 10, 5*r = 2*j + 5. Suppose 0 = -0*c + c + r*y - 5, -3*c = y - 55. Calculate the least common multiple of c and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 473*f**2 - 430*f - 4. Let k(w) = -w + 1. Let v(n) = d(n) + 4*k(n). What is the second derivative of v(g) wrt g?\nAnswer: 946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 + -56. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 2*w**2 - 9*w - 9. Suppose -u - 4 - 3 = 2*d, 0 = d - 5*u + 9. Let l be z(d). Let x = 79 - 81. Which is the closest to 0.1? (a) l (b) x (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (2 - -2) + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1345 and 4.2?\nAnswer: -5649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + -6. Let c = -73 - f. Let p = c + 48. Is 23 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 58*n**2 - 75*n + 312. What is x(28)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/25? (a) -0.2 (b) 5 (c) -5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**3 + 8*r**3 - 2*r - 10*r**3 + 16*r**3 - 130*r**2 - 11*r**3.\nAnswer: -20*r**3 - 130*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 8:59 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -101101101010001101010110?\nAnswer: 101101101010001101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 14*t**2 + 33*t + 5. What is the remainder when 128 is divided by n(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w - 675 = -55*w. What is the smallest common multiple of w and 540?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j + 0*j)*(2*j**4 + 10*j**4 - 6*j**4).\nAnswer: 36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221011 (base 3) to base 11.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 3*t**2 + 3*t**2 - 9*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66950.38ml in litres?\nAnswer: 66.95038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(sqrt(49)\/sqrt(112) + (sqrt(7) - sqrt(1400)\/sqrt(8)) - (sqrt(21) + -4*sqrt(1344))\/sqrt(3))*6.\nAnswer: 3270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb + 1582a7?\nAnswer: 1583a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**2*t - 2706*c*t + 1051*c - 110023962*t with respect to c.\nAnswer: 12*c*t - 2706*t + 1051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201500 is divided by 201337.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/20 + 7*u**4\/12 - 4*u**3\/3 + 3*u**2\/2 + 2*u. Let v be o(-8). Suppose -v*b + 112 + 14 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let p be 21 - 17 - 1*3. Which is the nearest to m? (a) p (b) -2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 4, 2\/3, 1, 938.\nAnswer: -0.15, 2\/3, 1, 4, 938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*n - 20, -n - 3*n = -4*g - 20. Let o = g - -4. Find the second derivative of f - 3*f - f**4 + o*f wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37057.774272 + 1.62\nAnswer: -37056.154272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.042 - -44.342. Let i = -44 + g. Put i, 0, 0.1 in increasing order.\nAnswer: 0, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*2\/(-42) - (-72)\/14. Sort -2, -4, a, 11 in decreasing order.\nAnswer: 11, a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)*-2*-2 + sqrt(308) - sqrt(308))\/sqrt(7))\/(5*(sqrt(100) - sqrt(100)*2 - sqrt(100) - sqrt(100) - sqrt(100))).\nAnswer: -sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {a: 1, x: 1, h: 2, p: 2, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1093 = -5*v + 429, -4*j = 2*v - 2034. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 8*i**2 + 7*i + 3. Let v be y(-7). Suppose -v*l = -5*l + 68. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23943 is divided by 1596.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.949 and 0.3?\nAnswer: -0.2847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 23930793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205467452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**6\/120 + u**5\/15 + u**4\/12 - u**3\/3 - 3*u**2. What is the remainder when 33 is divided by s(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 - c. Suppose 0*f - p + 43 = 2*f, -p - 14 = -f. Suppose f = 3*r - 5*k, 3*k + k + 23 = 5*r. Suppose 5*x + 2 = r*x. Determine v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 711798 divided by -119.\nAnswer: -711798\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-21315)\/20580)\/(14\/35*(-10)\/14)\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((119\/17)\/(-7))\/(2\/(-4)))\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c - 1087. Let q(i) = -3*i - 543. Let p(t) = 2*k(t) - 5*q(t). Let x = 3 - 3. Is p(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30*a - 191. Let n be i(14). Let k = n + 1517. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110\/44 + 8\/(-6) - (-2)\/(-3). Which is the second biggest value? (a) f (b) -1 (c) 5 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4151*l**3 - 5282*l**2.\nAnswer: -24906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 13 + 9 = 0. Let i(z) = 47*z**2 - 4*z + 4. List the prime factors of i(t).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 0.2 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(20\/3)\/(r*r**(-14\/5)\/r*r) assuming r is positive.\nAnswer: r**(127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7471.26 + 7547. Let h = k - 78. Let m = h - -1.7. What is m rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + n**2 - 1. Let a(c) = -c**3 + 11*c**2 - 1. Let o be a(11). Let p(f) = 3*f**3 - f**2 + 2. Determine o*p(j) - 2*w(j).\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 15*q + 2*q. Suppose 6*d - 7*d + 1 = q. Let y(s) = 3*s**2 - 2*s - 1. Let i(j) = -j**2 - 1. Calculate d*y(z) + 2*i(z).\nAnswer: z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -936, -7512, -25378, -60180, -117564, -203176, -322662?\nAnswer: -481668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -16. Let q = d + 15. Solve 13 = -4*o + 5*x, 0 = o - 3*x - 0*x + q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4892, -4807, -4724, -4643?\n\"Answer: -s**2 + 88*s - 4979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 338\/5, 1\/2, -2, -0.09316, 3, 1?\nAnswer: 338\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**37\/(((d*d**2)\/d)\/d))**13)**(8\/5) assuming d is positive.\nAnswer: d**(3744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/5 - 24*s**3\/5 + 36*s**2 = 0?\nAnswer: -30, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 134, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5157 * 0.3\nAnswer: 1547.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155146067 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q*s**3 + 538378*q + 312095*s**3 - s**2 wrt s.\nAnswer: -6*q + 1872570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 124403 = -19879. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/281, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 67 + 2*u - 39 + u**2 - 37 in the form x + h*u + t*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + b - 1. Let a be v(1). Let i be a*4\/(-16)*2. List the prime factors of -1 + 5 + (-3 - i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.5, -1183 in decreasing order.\nAnswer: -0.1, -0.5, -1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhnhzjhzzhhhzzzz. What is prob of picking 1 h, 1 n, and 1 j?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103150 divided by -90?\nAnswer: -10315\/9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -691 (b) -2\/13 (c) 1\/9 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**3 + 700*u**2 + 248*u + 358422 wrt u.\nAnswer: 3*u**2 + 1400*u + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 42*c - 4*o = 35, 3*o = 2*c - 21. Sort -138, -3, c.\nAnswer: -138, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-33))\/(7\/14)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let u be b(6). Let i be u\/(-9) + 13\/(-3). Let j(c) = -c - 2. Let q be j(i). Calculate the greatest common divisor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z + 160. Determine c(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/312540030 or -1?\nAnswer: 1\/312540030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**3 - 1767*d**2 + 229272*d - 8573100 = 0.\nAnswer: 82, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14785191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 201770 divided by -40354?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863 (base 11) in base 10?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-6)*f)*f)\/f)**(1\/18)*(f*f**1*f)\/(f*f**(-2\/15)) assuming f is positive.\nAnswer: f**(227\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 6*v + 1. Let h be t(4). Does 6 divide (-3)\/1 + 1*h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 + 258. What is the remainder when 21 + 2 + t - 5 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -752, -2272, -6310, -14096, -26860?\nAnswer: -45832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x**5 - 29*x**4 - 292*x**2 - 5. Let g(k) = -7*k**5 + 14*k**4 + 146*k**2 + 3. Let m(o) = -5*g(o) - 3*w(o). Find the third derivative of m(z) wrt z.\nAnswer: -240*z**2 + 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -2*h + 4*x + 62, -4*h - 28 = -4*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.436 times -0.25\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -12 (c) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1480303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*q - 4*v = 148*q + 23, -q - 16 = -3*v for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -1\/3 (b) -0.03 (c) 145 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038 divided by 2?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -772.12 + 804. Let m = -31 + a. What is m rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25487974 divided by 6\nAnswer: -12743987\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3929\/720 + -7\/360. Let g be (6\/(-32))\/((-5)\/2300). Let p = 85 - g. What is the common denominator of t and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 5. Let y be k(-2). Suppose 0 = -0*v + y*v - 30. Calculate the greatest common divisor of 30 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 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: ((9\/28)\/(-3))\/(1590\/1060)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40\/3 - 14. Let b(s) = -5*s - 7. Let r be b(-9). Let l = r - 416\/11. What is the smallest value in t, 2\/13, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/6774852 and -31\/62776?\nAnswer: 257444376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300 - 12333?\nAnswer: -13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l - 3 + 3)*(-3 + 5 - 1) - l + 6*l + 0*l)*(14 - 10 - 2*l + 14).\nAnswer: -14*l**2 + 126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -28 + 6 - (-1 + 4 - 3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -8.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-1064.\nAnswer: -53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 7) in base 8?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3274 - 3270. Which is the nearest to 0.1? (a) 0.3 (b) v (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**4 - 3924*v**3 - 73572*v**2 - 443420*v - 865800 = 0. What is v?\nAnswer: -962, -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6810*m**2 + 70*m - 1580. Let i be t(17). What is i rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + o - 3 = 0, -2*o - 2 = -2*p - 0. Solve p = -r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 518*s**2 + 1051*s - 504. Let i(t) = -3*t**3 + 519*t**2 - 1053*t + 497. Let c(l) = 3*i(l) + 4*x(l). Factor c(r).\nAnswer: -5*(r - 1)**2*(r + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/80 + d**3\/6 + d + 22. Factor u(v).\nAnswer: -v*(v - 2)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 - 11*i**3 - 8*i**3 + 9*i**3.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 18*r + 8*r + 15*r + 56, 11*b + 21 = -2*r - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 7 (c) -4\/3 (d) 30131\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -70\/29, -1\/4, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 163*y**2 + 43*y - 42. Calculate the remainder when 315 is divided by z(1).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7708*n**4*w + n*w**2 + 17*w**2 + 3*w + 2 wrt n?\nAnswer: -30832*n**3*w + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t + 9*t - 11*t - 7 + 6*t**2. Suppose -4*d - 39 - 1 = 4*k, -3*k = -d + 10. Let b(m) = -4*m**2 + 11*m + 5. What is k*x(h) - 7*b(h)?\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222112221020201 + 220?\nAnswer: -222112221012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, -844267 in ascending order.\nAnswer: -844267, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2103241 + -30?\nAnswer: -2103321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63343508 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 13*z**2 + 17*z + 14. Let x be o(-12). Let p = x - -51. Suppose 18 - 3 = p*b. Solve -b*h + h = 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 128*l**2. Let b(r) = -56*r**2 - 18*r + 9. Let m(s) = -100*s**2 - 32*s + 16. Let w(j) = 16*b(j) - 9*m(j). Determine u(w(z)).\nAnswer: 2048*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5768671.\nAnswer: 5768671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*j - 26*j + 18*j - 19*j - 38*j + 4*j.\nAnswer: -143*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/129384 and 103\/101830.\nAnswer: 10997640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -19*t + 161. Suppose -5*v = -5*y - 10, 3*y - 2*v + 4*v = -1. What is the remainder when (6\/(-12))\/(y\/34) is divided by k(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 3) in base 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 69*w = 72*w + 24, w + 6 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2642.91 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 29*l**2 - 49*l + 57. What is the remainder when m(9) is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 2*y**2 + 4*y + 3. Let b be v(-3). Suppose -3*z + 7 + 5 = b. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*2*3. Let n = -18 + 42. Suppose n - 104 = -z*b. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 5. Let v be c(-7). Let w = 2 - v. Suppose 5*j - 2*r - 6150004 = 0, w*j - 5*r - 1013172 = 3906838. Round j to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175a350 (base 12) to base 3\nAnswer: -100010100221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/63 - (1 + 8\/(-12)). Which is the third smallest value? (a) 0.1 (b) 0.3 (c) v (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 + (7 - 10) + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Let c(l) = 0 + 0 - 1038*l + 3534*l + 0. Calculate c(m(b)).\nAnswer: 4992*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 4. Let v be h(-2). Let u be v\/(-9) + ((-8)\/(-6) - 1). Which is bigger: 0.45 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17342 = -4*d + 3054. Suppose -4*x - d = -13983. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670484 to the power of 1\/2, to the nearest integer?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 1 - 4 + 3 - 1 + (-3 + 0 + 4)*(2 + 2 - 5))*(-2*x**3 + 10*x**3 - x**3) + 0*x**3 + 0*x**3 + 3*x**3.\nAnswer: -46*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*(k**2*k)\/k*k)*k)**(-18)*(k**(-2\/11))**(-2\/67))**(-1\/6))**26 assuming k is positive.\nAnswer: k**(-344968\/2211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z + 102. Let p = -4054 - -4054. Determine u(p).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -347, -754, -1161, -1568, -1975, -2382?\n\"Answer: -407*i + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 8*j**2 + 11*j**2. Let p(w) = -w**2. Let s(t) = 3*o(t) + p(t). Let r(x) = 5*x - 4*x - 2*x. Determine r(s(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*d - 2*z, 3*d = 4*z + 50. Suppose 62 = -j - d. Let y = -36 - j. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808697102.\nAnswer: 2, 67, 101, 59753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63270 + -13 + 100\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320401 (base 5) in base 9?\nAnswer: -15637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 709, -1\/7, 11, 3\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/12 and 65\/372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let y = -26 - -6. Let u = -15 - y. Solve -2*k + v*r = -0*r + 10, 0 = u*r - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -771 + 235 + 125*c + 765*c wrt c?\nAnswer: 890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -56, -232, 1, -4, -2 in descending order.\nAnswer: 3, 1, -2, -4, -56, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 + -4 + (-3 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**2)**(-30)*i**(-4\/7)*i**(-1)*(i**10*i*i**5*i)**11 assuming i is positive.\nAnswer: i**(1508\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -5 (c) 3\/4 (d) 0.45 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3134 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from ammmmdmkakkd?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 56. Let o = 13 - i. Which is bigger: o or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 26 + 21 = 0. Suppose c*g + g = 54. Solve -3*f - 3*n = -27, f - 5*n + g = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2. Let x(p) = -2*p**2 - 7*p + 7. Let h(r) = -2*r**2 - 6*r + 6. Let s(a) = 7*h(a) - 6*x(a). Give s(g(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2409326*s + 2356827 wrt s?\nAnswer: 2409326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqw when three letters picked without replacement from {w: 1, i: 1, q: 2, y: 1, u: 1, r: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.033941 - -0.034. Round a to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*u - 2740 + 133 + 0*u - 6*u - 221*u**4 wrt u.\nAnswer: -884*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127.014 + -127. Let l = 1.014 - r. Which is the closest to -3? (a) -0.4 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 266, 1379, 3226, 5801, 9098, 13111, 17834, 23261?\n\"Answer: -i**3 + 373*i**2 + i - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:06 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Let w(v) = v + 149. Is w(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201.6*0.07\nAnswer: -14.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8, -12*v + 16*v + 3174 = 2*r. Calculate the greatest common divisor of r and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 143 = 3*s, -11*s - 5*w + 101 = 5*w - 5*w - 0*w for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 66. Let r = -45 - j. Solve -3*i - 4*o - 3 = 14, -r*i = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*o)*(-2 + 14 - 2).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 21 = d, 59*d + 56*d + 17 = 4*c + 114*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvd when three letters picked without replacement from rvrdjdjvdjdjvdrdrdj?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 30685?\nAnswer: -30688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(70) - (sqrt(70) + -1*sqrt(70)) - sqrt(70))*3)\/(2*sqrt(160)*-3 + sqrt(160)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3\/64, -1\/5 in decreasing order.\nAnswer: 4, 3\/64, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 40 = 6*d, -594*k + 591*k - 4 = -2*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5292128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 43\/10 + (-14 - -12))*472\/(-354).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*9\/90*9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174 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: Which is smaller: 0 or -216\/2053?\nAnswer: -216\/2053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 50*o**8\/7 - 10*o**4\/3 + o**2\/2 + 25*o - 24. What is the third derivative of k(l) wrt l?\nAnswer: 48000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*o - 132*o = -585. Let n = o - 116. Solve 3 = 4*s + v, 2*s + n = -v + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7256772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 9:49 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Which is smaller: u or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g - 2*g + 8*g)*(1 + 3 - 5) + (g + 1 - 1)*(-2 + 3 + 1))*(-3*g + 10*g + 4*g).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + -12 - (-4 + 0). Let g be (2\/6 + r)*(-81)\/1026. Are 1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 17 = -5*b, -4*l + 41 = b - 26. Let f(p) = -p**2 + 20*p + 26. Let d be f(l). Calculate the greatest common divisor of d and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 11*b - 23. Let i be k(-13). Suppose 0 = i*w + 9 - 21. Let 1\/2*u**2 + 1\/2*u + 0 - 1\/2*u**w - 1\/2*u**3 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 114 = -6*u + 47*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2 - -6) + -8)*(-1)\/(-8)*8. What is the third biggest value in -0.2, -0.3, h, 2\/181?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 364.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 7. Let l(v) be the third derivative of 0 + 0*v**4 + 0*v + 0*v**f + 1\/30*v**5 - 1\/35*v**7 + v**2 + 0*v**3. Find the third derivative of l(g) wrt g.\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9301 rounded to 1 decimal place?\nAnswer: -22.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 555774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507384 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**4\/24 + n**2. Let a(r) = -r**3 - 4*r**2 + 4*r - 4. Let c be a(-5). Let m(o) = -2*o**2 - c + 1. Calculate m(x(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 = -3*x - 7, -27*q + 36*q = 45 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316.156 - 331.2. Let n = 14.98 - -0.02. Let g = n + z. Round g to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.7 times -0.3\nAnswer: 18.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 q when three letters picked without replacement from {r: 2, o: 1, q: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (((sqrt(1088) - (sqrt(1088) - -3*sqrt(1088)))**2 - sqrt(17)) + (sqrt(51)*-4)\/sqrt(3))*1.\nAnswer: -5*sqrt(17) + 9790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 3*u. Calculate the remainder when 19 is divided by 27\/6 - (-4)\/u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 9, a: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13126\/104293 + -4\/2219. Let b(z) = z**3 - 4*z**2 - 5*z - 1. Let q be b(5). Is w smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 12. Let s(q) = -205*q + 101*q + 105*q + 1. What is d(r) + 12*s(r)?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60 and 4.9952087.\nAnswer: -55.0047913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50025896 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1826 - 1592. What is the greatest common factor of 546 and l?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-42)*7)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, q: 2, g: 1, r: 2}. Give prob of picking 1 i and 2 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 473*l**2 + 14*l + 8. Let d(a) = 472*a**2 + 12*a + 7. What is -7*d(r) + 6*z(r)?\nAnswer: -466*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17 + -3)*(-4)\/(-5))\/(-2). Solve 0 = 3*u - 7*u, u - l = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192.97 + 196. Let j = p + -0.03. Let b = 2.8 - j. Sort -2\/11, b, -2 in increasing order.\nAnswer: -2, b, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*j**3 - 771*j**3 + 1540*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1736163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0*s + s + 0*s. Let v = -2 - -2. Let d(y) = -4*y + y + v*y. What is j(d(q))?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9478, -9432, -9394, -9370, -9366, -9388, -9442, -9534?\nAnswer: -9670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -d - 2. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*j = 38, 0 = -0*r + 4*r - j - 26. Let c be (16\/(-5))\/(r\/((-315)\/(-18))). Does c = 3.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11232 - 11?\nAnswer: -11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 67*b - 52. Let u(o) = -67*o + 54. Let k(t) = -3*m(t) - 2*u(t). Let s be k(3). Round s to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -47, -65, -83?\n\"Answer: -18*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2545372594\/987 - 2578898. Let b = t + 2\/141. Factor 0*c + 0*c**3 + 0 - b*c**4 + 2\/7*c**2.\nAnswer: -2*c**2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14*-3*7*6\/378.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -503?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29097.55 rounded to the nearest one hundred?\nAnswer: -29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 5\/3 (c) -13 (d) 0.3 (e) -22 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b7 - 3?\nAnswer: 7b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2\/8) + ((-69225)\/(-60))\/71. Solve -m*s - 54 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 20, -9*q + 5*t = -4*q - 490. What are the prime factors of q?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-p + 4*p - p) - 6 + 2*p - 7 + 9.\nAnswer: 6*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14818305 and 7903096.\nAnswer: 118546440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, t: 3, w: 1, q: 2}. What is prob of sequence txt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 2*l**5\/15 - 41*l**4\/6 - 94*l**3\/3 + 123*l**2 + 792*l + 1488. Determine m so that d(m) = 0.\nAnswer: -3, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 921*s**2 - 136*s + 2. Let u(i) = 1840*i**2 - 306*i + 5. What is -4*u(m) + 9*z(m)?\nAnswer: 929*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, 1, -2\/9, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14869281*w**2 + 7434641*w**2 + 7434647*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.13 (c) 3 (d) -1\/3 (e) -7 (f) 143\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3020406.2 to the nearest 1000.\nAnswer: 3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -x - 4, 0 = -3*s - 12. Differentiate -x*o + 0*o - 3 + 0 + 0 with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -16. Calculate the remainder when 39 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1945645 milliseconds to minutes.\nAnswer: 0.000036576075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:15 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 3*j. Let f(s) = -4*s - 4. Is 12 a factor of f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/2 + 585*n**2\/2 + 1452*n + 1160 = 0.\nAnswer: -580, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/28)\/(6\/16). Let z = -79\/21 - v. Let f = 15.2 + -15. Which is the closest to 0.1? (a) z (b) f (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895*k + 8233*k - 119183 = -75682 + 121977 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 255*f**2. Let y(k) = 11*k**2 - 2. What is o(y(h))?\nAnswer: 30855*h**4 - 11220*h**2 + 1020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2715 + 14*m**3 - 2715.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2241504*p**4 - 11*p*q - 72627774*q wrt p.\nAnswer: -8966016*p**3 - 11*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2445654559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 3*w + 3. Let y be c(3). Let z = y + 51. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:31 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/24 + 642\/(-8). Let m = q + 556\/7. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 372499?\nAnswer: 58\/372499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:55 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -4 (c) -1\/7212 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30957*i**6 - 2*i**3 + 2*i**2 - 6363 wrt i?\nAnswer: -3714840*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:44 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1808 and 23066238.\nAnswer: 184529904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 23*p**2 - p - 6. Let q(i) = -1. Let v(d) = o(d) - 5*q(d). Let m be (-9)\/15 - 14\/35. Does 23 divide v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393773917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*sqrt(171)*-1 - (1*(sqrt(171)*-2 + sqrt(171)) - sqrt(171))))\/(-4*(sqrt(144) + (sqrt(144) - (sqrt(144) + sqrt(144)*-2)))*-2).\nAnswer: 25*sqrt(19)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*i = -3*i + 10, 5*z - 2*i + 25 = 0. What is the remainder when 11 is divided by (z + 26\/6)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138655636*u**4 + 15029393*u.\nAnswer: 1663867632*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 2, -33, 256, 1 in increasing order.\nAnswer: -33, -2, 0, 1, 2, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (9 - 1)) + -123 + 123.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -260840 rounded to the nearest 1000?\nAnswer: -261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 362 and -6?\nAnswer: -2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 12*g**2 + 9*g - 19. Is h(10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s**3 - s**2 + s - 3. Let w be h(3). Let j = w - 1412\/3. Suppose -p + 9 + 21 = -4*i, 0 = -5*i + 25. What is the common denominator of j and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28322560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t + 98*t - 31*t - 33*t - 34*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18094842 to the power of 1\/2, to the nearest integer?\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4633748459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.6 - 15.447. Let d = -0.94 - -1.1. Let n = d - u. Round n to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m - 2*p, 4*p = -3*m + 2*p - 10. Calculate the remainder when 164\/m*(-48)\/32 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 4*y - 1. Suppose 0*l - 5 = -l. Let q be a(l). Let p be q\/(-21) + 150\/14. What is the greatest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/15 (b) -5 (c) -2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 203310123 (base 4) to base 10\nAnswer: 146715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10856*g**3 - 11130*g wrt g?\nAnswer: -65136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/215 + 649\/430. Factor -w*s**3 - 9\/4*s**2 + 3\/4*s**4 - 3 + 6*s.\nAnswer: 3*(s - 2)*(s - 1)**2*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 24 = 4*w. Suppose 5*o + 4*l + 55 = 0, -2*o - 7 - 27 = w*l. Put 0, o, 0.5, 2 in descending order.\nAnswer: 2, 0.5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -z + r + 10, -24 = -4*z - 4*r. Let g be 92\/(-6) - (-3)\/3. Let q = 14 + g. What is the closest to 0.1 in -0.5, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/3)\/4 + -2. Solve y*z = 1 - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 1)\/(6\/18). Let o be (-2)\/(24\/c + 2). Suppose -8*i = -o*i - 70. Solve -2*v - 4*k = 20, -1 - i = 5*v + 3*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3*d)\/(d*d*d\/(d\/(d\/d**(-2\/27))*d)))\/((d*d*d\/d**(1\/4)*d)\/d*d*d**(-2\/9)) assuming d is positive.\nAnswer: d**(-173\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) 3\/284 (c) 15.2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2*k**2 - k**2 as f + v*k + z*k**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 + -60534.\nAnswer: -60389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 20, -i + 4*i - 83*w - 182 + 1271 = 187*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 less than -0.03?\nAnswer: -982.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2 + 1)**2 - (-2 + sqrt(5) + 0)**2 - ((-2 + sqrt(20))**2 + sqrt(5) + sqrt(30)\/(sqrt(30)\/sqrt(5)) + sqrt(5)).\nAnswer: -12 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 + -42. Let s = 74 + i. Calculate the highest common factor of s and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 10. Find the first derivative of -2*g + 0 + r + g wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150250091 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2\/5, 45, 4, -2\/9 in descending order.\nAnswer: 45, 4, -2\/9, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 21*z + 265. Determine n(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 22. Let s be w(-16). Calculate the greatest common divisor of s and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r - 11. Suppose -3*f - 61 + 19 = -3*z, 5*z - 38 = -3*f. What is the remainder when p(z) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + l + 218 = -l, 0 = -d - l + 53. Suppose g = 0, 205*t = 209*t + 5*g - 60. Calculate the remainder when d is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5898*i - 9259849. What is d(1570)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-4)\/68 + 51465\/51?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2918 divided by 10?\nAnswer: -1459\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let j(t) = 65391*t + 1562. Let a(x) = -503*x - 12. Let m(r) = -781*a(r) - 6*j(r). Determine z(m(y)).\nAnswer: 494018*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*c**2 + 6 - 6)*(2*c - 2*c**2 + 0*c + 0*c) in the form u*c**4 + r*c + h + z*c**3 + v*c**2 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 3\/8, 0.1, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194419.\nAnswer: 23, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -27*w - 176. Let g be 1\/3*(-2 + 8). Suppose 4*t + g*z = 48, z = -0*z - 4. What is the remainder when k(-8) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7039\/203 + -242\/7. Is v less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 323463390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 6*d + 2. Calculate l(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -3\/4, 5, -380273, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30 - 30)\/(2 + 0 + -4). Let l be 1*(-3)\/(-1) - 1. Let j = 4 - l. Solve -5*i = -2*n - k*i, -4*n - j*i = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 7*g**2 - 6*g - 1. Let m be y(6). Let s be (-1)\/(6\/7 + m). Let v = 21 + -17. Solve -s - 9 = -v*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y - 2*y)*(-4*y**2 - 463 - y**2 + 557).\nAnswer: 20*y**3 - 376*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 52 + 1.0812\nAnswer: 53.0812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s - 6. Let x(k) = -k + 1. Suppose 3*z + 4*m = -z - 316, 5*m = 20. Let p = 89 + z. Let r(v) = p*x(v) + i(v). Calculate r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23454 - 16567. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + sqrt(70) + -2*sqrt(70) - sqrt(70))\/sqrt(5))\/(sqrt(2) - sqrt(14)\/sqrt(7)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180517011 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*b**2 - 226*b**2 + 459*b**2 - 19*b - 4*b**3 in the form n*b**3 + g*b**2 + z*b + l and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/11145024 and -89\/1013184.\nAnswer: 11145024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 139*l**4 + 446*l**2 + 4*l**4 - 447*l**2 + (-5*l**2 + 2*l**2 + 6*l**2)*(-3*l**2 + 2*l**2 + 2*l**2).\nAnswer: 146*l**4 - l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 + -2?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3*k - 182500*a**3 - a**2*k - a**2 + 15*a*k - a - 523*k with respect to k.\nAnswer: -3*a**3 - a**2 + 15*a - 523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 627869183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = s - 2*r, -16 = -4*s + 6*r - 2*r. Solve 4*g - 4*w - 16 = -s*w, 0 = 5*w - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7183562.95080207 + 7183563. Let l = f - 0.0492. Round l to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.9 - -11.1. What is the biggest value in -0.4, j, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -2\/11, -2\/40851, 3, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 21 + 49 = 12*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -5*q**4 + 2216*q**3\/3 + 296*q**2 + 510*q. Suppose l(w) = 0. What is w?\nAnswer: -2\/15, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2. Let a(d) = -34*d. Give j(a(u)).\nAnswer: -4624*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135640 - 820224 = -83*y. What are the prime factors of y?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -3 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/80 - 0)\/((-5)\/(-10))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116773 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7731 or 7728?\nAnswer: 7728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*u, 2*a - 5*u = -2*u + 18. Suppose -5*s + a = -m, -5 = -5*m + 2*m + s. Suppose -40 + 34 = -m*w. Solve w = q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*d - 5*m - 6, 3*m + 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/5 and -10\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 565 and 1808.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 678*t**3 - 137*t**3 - 3 - 240*t**3 in the form g*t**2 + z + k*t + a*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**5)**(2\/35) assuming d is positive.\nAnswer: d**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxdd when four letters picked without replacement from {x: 16, d: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.077004.\nAnswer: 0.077004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102406794 by -4876514.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 500, -4, -7 in ascending order.\nAnswer: -7, -4, 3, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/5, 3, -1\/2, -1\/3, 3\/694036?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730265539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 0, -19197, 11\/4, -15, -1\/5, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29090.1 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**3\/6 + 25*a**2\/2 - 2607*a. Let c(p) = -12*p + 2. Give y(c(o)).\nAnswer: -12*o + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102\/13 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011059 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = x, 3 = -0*r + 3*r - x. Let q(h) = -144 + 25*h - 109 - 67. Let l be q(13). Put r, l, 4 in increasing order.\nAnswer: r, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*z**3 - 8064\/5 + 1632\/5*z - 104\/5*z**2.\nAnswer: 2*(z - 28)*(z - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*m + 3380 + 3719, -2357 = m - 2*s. Let x be 3\/6 + m\/10. Which is smaller: -238 or x?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -46, -91, -190, -361, -622?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2 and -73\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 35353344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66994, 66978, 66960, 66940?\n\"Answer: -a**2 - 13*a + 67008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/171 - (-5627)\/5202\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 40 + 44. Suppose 2*y + 5 + 13 = 4*f, -l = -3*f + 2*y. Solve f*d = 3*a + a, -5*d = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 6*u - 3. Let v be s(-5). Let w = v + -1. Factor -w - 1 + 7*l + 0 - 3*l - 2*l**2.\nAnswer: -2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*4*(5*(sqrt(130)*-2 + sqrt(130)))\/(sqrt(10) + ((sqrt(250) - sqrt(250)*2) + sqrt(250) - sqrt(250) - sqrt(250)) + sqrt(10)))**2 + 1.\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -332*n + 2029. What is s(11)?\nAnswer: -1623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -61*w + 436. Let o be k(7). Solve -61*s - o = -64*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4 - 9. Let g be (5\/f)\/(10\/190). Suppose g + 205 = 4*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10005 + 3?\nAnswer: 10008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/7)*z*z*z)\/(z\/z**(-10)*z)*(z\/z**(-2\/17))\/z*z*z\/z**(5\/2)*z*z)**(-48) assuming z is positive.\nAnswer: z**(41352\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4767504 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**5\/60 + y**2. Let o(w) = -3*w - 3*w + w. Give o(d(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/92 + -1431\/460. Suppose 2 = -3*s + 5*q, 4 = 2*s - 5*q + 2. Find the common denominator of h and (27\/40)\/(2\/s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1622736 divided by 472\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 7*i**2 + 17*i + 11. Let r be n(8). Let c = -89 + r. List the prime factors of (-1 - (-6)\/18) + (-790)\/c.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-3)\/5)\/(7 - 377\/26)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a. Let s(h) = -4*h - 5. Let x(v) = v + 1. Let m(p) = s(p) + 5*x(p). Give g(m(n)).\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, i: 7}. Give prob of picking 2 t and 1 i.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.074 and 1912?\nAnswer: 1912.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10*4\/32)\/(1\/(-16)). Suppose -m*c - 105736 = -28*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -152*b**3 + 22*b**2 + 18*b + 5. Let m(h) = -76*h**3 + 13*h**2 + 9*h + 3. What is 3*g(k) - 5*m(k)?\nAnswer: -76*k**3 + k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -511*q + 12.\nAnswer: -511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1459d - -13?\nAnswer: 145b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4705 divided by -1\nAnswer: -4705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + n**3 - n**3)*(-2*n**2 - n**2 + n**2) + 6*n**5 + 0*n**3 - 5*n**5 - n**3.\nAnswer: -n**5 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 49 (b) -0.07 (c) -15 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*8\/3. Suppose -5*h = y + 15, -4*y - 6*h = -2*h - n. Suppose -3*m - 4*s = -23 - 25, 0 = 4*m - y*s - 95. Solve 3*f - 7*f + m = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 4*r**3 + 4*r**3)*(4 + 2 - 5)*(-2*r + 5*r - 2*r)*(161 + 216 - 101).\nAnswer: -552*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62181 divided by -8883.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(175))**2.\nAnswer: -20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 547*q**2 - 275*q + 775. Calculate r(273).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193523*i**5 - 69*i**2 + 4505.\nAnswer: -11611380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -630 + -1056. Let y = q - -2940. List the prime factors of y.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12637 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/2*(-165)\/(152460\/168))\/(16\/(-5))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5417 is divided by 155.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 3*g**2 + 3*g. Let j be t(-4). Let m(u) = 2*u**2 - 5*u + 5. Let r be m(j). What is the greatest common factor of 136 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 56*n - 58*n = -10, -5*b - 26 = 2*n for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 230125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -40*s - 17. Let d = 68 - 73. What is the hundreds digit of y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) - 40\/(-18). Suppose -5*b - 25 = -5*g, 0*b + 5*b - 4*g = -25. Let x be (1 - -1)\/(-3 + 2). Sort b, n, x.\nAnswer: b, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6982, 6968, 6960, 6958?\n\"Answer: 3*d**2 - 23*d + 7002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -1\/8, 0.07, 0.5054, -23?\nAnswer: 0.5054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**(1\/5)*g*g)\/g)\/g**(-19))\/(g**(2\/45)*g)**(10\/7))**(12\/5) assuming g is positive.\nAnswer: g**(26092\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*u - 30*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 106307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -629, -685, -263, 925, 3167, 6751?\nAnswer: 11965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 725 and -0.11.\nAnswer: -79.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 302*g + 99*g + 2645 + 9786 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 16) in base 10?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/168*6)\/(4\/176)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-6)*(-3484)\/(-104) + (-2)\/(-12). What is v in -6*v**4 + 0 - 238\/5*v**3 + g*v**2 - 72\/5*v = 0?\nAnswer: -9, 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-nine halves of a century?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 34530221?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 752895799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(15)\/sqrt(3))*-3 + -4.\nAnswer: -3*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98897 times 87?\nAnswer: 8604039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -187?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 = -511*o + 510*o - 470, 3*g + 2*o + 34 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsud when four letters picked without replacement from {s: 4, u: 3, d: 2, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -2)*16\/24. Suppose 0 = 4*v + v - 20, -l + q*v = 16. Suppose 5*t + 25 = 0, 4*c - t + l*t - 77 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -92*i**3 - 6*i**2 - 3*i. Let l(u) = -92*u**3 - 6*u**2 - 2*u. Let a(k) = 4*l(k) - 3*z(k). Find the third derivative of a(o) wrt o.\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 29*c + c. Suppose 0 = -4*p - w + 8, -c = -0*p - 4*p - 5*w. Let 2*f**4 + 0*f - 6\/5*f**3 - 18\/5*f**p - 2\/5*f**5 + 0 = 0. Calculate f.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (8 - 1))*-3. Let g = i + 6. Let d be 2\/g + 28\/48. Put -2\/7, 0.5, d in decreasing order.\nAnswer: 0.5, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 410*b - 8405.\nAnswer: -5*(b + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 9*v + 79. Is q(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -463*w - 18. Let a be c(1). Let i = 1191 + a. Round i to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 - 3004*d + 10523 wrt d.\nAnswer: 4*d - 3004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 152*n\/7 - 138\/7.\nAnswer: -2*(n + 1)*(7*n + 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 109122\nAnswer: 65473.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**(-4)))**(-2\/25))**(-2\/51))**41 assuming k is positive.\nAnswer: k**(164\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 42 = -5*o, -o = 3*b - 86 + 84 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.91*35239.\nAnswer: -137784.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63383 and 964.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 234*i**3 - i + 235*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7984605479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f, -f - 27 = -4*g - 0*f. Let z = g + -3. Calculate the smallest common multiple of 6 and 0\/(-1) + z\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/828 and -17\/552?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m**3 - 47*m - 6*m**2 + m**3 + 5 + 53*m. Calculate u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 7. Let l be s(-6). Let u be ((-6)\/2)\/(l\/75). Suppose -3*w + u = -5*x - 100, -4*w - 5*x + 170 = 0. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2837058, -5674114, -8511170, -11348226, -14185282?\n\"Answer: -2837056*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 60. What is the greatest common factor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 92 = -c, -2*c + c = -5*x - 93. Let i = 138 - c. Suppose 4*z - z + 5*k - i = 0, -4*z + 74 = 3*k. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24977.7 - -161.88\nAnswer: 25139.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/30)\/((-12)\/(-15750)) a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/((-124)\/868) - 45\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 1\/2, -1\/3, 5, 0.1, 203?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 8*v**2 + 6*v - 4. Suppose -20 = -2*q - 2. Calculate the remainder when q is divided by b(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d - 5. Suppose 6*f - 38 + 8 = 0. Solve 5*t = -3*g - f - 16, -d*t - 15 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.4, 0.19, 0.2, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*h**2*i**3 + f**3*i**3 + 4778*f**3 + 128*f**2*h**2*i**3 + f**2*h**2 - f**2*h*i**3 + 83*f**2*i - 2*h**2*i**3 wrt f.\nAnswer: 12*h**2*i**3 + 6*i**3 + 28668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/12 - 1\/(3816\/(-690)). Is 1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 6. Let f be k(-5). Let s(q) = 148*q**2 + 91*q. Let i(d) = -39*d**2 - 24*d. Let t(p) = 19*i(p) + 5*s(p). Determine t(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5244 - 540 = -147*o for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 7*b**3\/6 - 2190151*b**2\/6 + 2085818*b + 625746 = 0.\nAnswer: -2\/7, 6, 312873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 574 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(1*sqrt(684) + 0)*-4)**2*-3.\nAnswer: -131340 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 562 - 37.70046.\nAnswer: 524.29954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + 19*b + 3. Let l(i) = -5*i**2 - 37*i - 5. Let y(a) = -4*l(a) - 7*p(a). Let x be y(15). Let h(r) = -3*r. What is h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 0 - 0*1\/5. Solve 0 = -5*x - 5 - n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -135. Let t = -85.000006 + r. What is t rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j**2 + 798*j**3 - j**2 + 71*j**2 - 794*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) 4 (d) -0.25417\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9716*l*p + 15*l - 9*p - 924 wrt p.\nAnswer: 9716*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 232325742 a multiple of 843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 - 7*q**2 + 13*q + 1. Let p(r) = -r**3 - 2*r**2 + 4*r. Determine -2*b(t) + 7*p(t).\nAnswer: -t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhqg when four letters picked without replacement from {g: 13, q: 1, h: 3}?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274 - 273.9. Put -1\/5, -0.21, h in increasing order.\nAnswer: -0.21, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048282 rounded to five dps?\nAnswer: -0.00483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -12\/13, -19, -1, 0.4?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0761527219 to four dps.\nAnswer: -0.0762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 1.7. Let x = b - 1.7. Let h be 2\/(-21)*(-3)\/1. What is the nearest to -0.1 in x, h, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 67964, -4, -37 in increasing order.\nAnswer: -37, -16, -4, 67964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*p = 32, 25 = 4*g + 5*p - 10. Suppose 0 = g*l - 2*d - 14, -2*l + 2*d + 3 = -5. Solve -b + l = -1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42493 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 179, 690, 1541, 2732, 4263, 6134?\n\"Answer: 170*j**2 + j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 30*s**2 + 55*s - 28. Let k be l(-28). Solve k*a = -4*c + a + 15, 0 = 2*c + a - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-7 + 582\/83)*(-168)\/10?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, and 2 d when four letters picked without replacement from adhdauauaaa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3071140, -3071134, -3071128, -3071122?\nAnswer: -3071116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.9775381 hours in weeks?\nAnswer: 0.0891520125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*q - 2*q + q + 5*q**2 - 1 + 3*q as l*q**2 + u + y*q and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 41c (base 14) to base 9\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/3 and 39\/998.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 243*o. Let r(b) = -15*b**2. Calculate r(v(i)).\nAnswer: -885735*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -15\/499?\nAnswer: -15\/499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 4*b**2 - 4*b**2 + (-4 + 2 + 4)*(10*b**2 - 20*b**2 + 11*b**2).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 12. Suppose 0 = -2*r - 2*b + b + 11, 5*r + 5*b - 30 = 0. Determine l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**4 + 53 - 638*t - 121 + 6 wrt t.\nAnswer: -4*t**3 - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -6*i. Suppose a + 29 + 1 = i. Let k = 93 + a. 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: Solve 6*s = -15 + 27 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 0*v**4 + 0*v**4 + (-2*v**3 - v**3 + 5*v**3)*(-v + 4*v - v) + 0*v**2 + 0*v**2 - v**4 + (3 + 3*v**2 - 3)*(7*v**2 - 7*v**2 - 24*v**2).\nAnswer: -71*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222002110120101 + 12?\nAnswer: 11222002110120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 10*k - 1. Let u(i) = -11*i**2 + 28*i + 5. Let w(o) = -8*d(o) - 3*u(o). Suppose -2*r + c + 10 = 0, 5*r + 9*c - 32 = 8*c. Calculate w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133831670, 133831667, 133831664, 133831661, 133831658, 133831655?\nAnswer: 133831652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 634\/7 + (576\/63)\/(-16). Suppose -2*l + 19 = g, -4*l = -4 - 16. What is the highest common factor of g and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4335 is divided by 124.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*r**5 + 0 + 588\/5*r - 597\/5*r**4 + 1773\/5*r**3 - 1767\/5*r**2.\nAnswer: 3*r*(r - 196)*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -5*n**4\/12 + 5*n**3\/2 + 2290*n**2. Let h(s) = -5*s**2 + 3*s + 3. Let w be h(-2). What is the units digit of j(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) - -1*sqrt(4752) - (sqrt(297) + (sqrt(297) - -3*sqrt(297)) + sqrt(297) + sqrt(297)))\/(-5*(sqrt(3) - sqrt(108)*5)*-1).\nAnswer: -3*sqrt(11)\/145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/11)*k)\/k)**(-13)\/(k*k**(-3\/4)*k*k**(4\/17)))**(-28) assuming k is positive.\nAnswer: k**(-4599\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2856 is divided by 70.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063988001 rounded to 4 dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 102. What is the remainder when d(-25) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40259475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115711, -115724, -115737?\n\"Answer: -13*m - 115698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112960 and 431320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591 is divided by 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(10\/35)*(-24)\/21. Solve 4*r + 14 = p, i*r - 10 = 3*p + 5*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 11 + 0 + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43298783 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*z - 9 = -3*k + 289*z + 6, -4*k = 2*z - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (804\/15 - 2)\/((-32)\/(-80)) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 - 348 = -13*s. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, a: 1, p: 1, y: 1}. Give prob of sequence yp.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 20*o + 5382. What is the highest common divisor of o and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**1\/l)**(-48)*l*(l*l**7)\/l*l*l**(-1) assuming l is positive.\nAnswer: l**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/24)\/((-2)\/6). Suppose u + 12 = c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 17 = -20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*u - 87 = 0, 0 = 4*g + 5*u - 0*u - 326. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000168133838 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 + 16*g + 7. Give p(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 4*h**2 + 2*h + 1. Let c be m(4). Let p = -17 + c. Let k = 8 - p. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9870?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -4.52.\nAnswer: 3.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417 - 413. Solve 3*m = -3*i - 15, -2*m + 5*i + o = -7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -211121?\nAnswer: 211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/((-1)\/(-18)*8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2*u**3\/3 - 531*u**2 + 1064*u + 9571. What is z in n(z) = 0?\nAnswer: -532, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*h = 44, 2*p = -4*h + 6*h - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/522 and -55\/5916.\nAnswer: 17748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722 = 281*r - 975 - 1394 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 + 4*o**2 - 4*o. Let j(u) = -4*u**3 - 3*u**2 + 3*u. Calculate -3*g(f) - 4*j(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -48c (base 14) to base 2\nAnswer: -1110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0695027 micrograms to milligrams.\nAnswer: 0.0000695027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97900*q**2 - 8*q - 1074 wrt q.\nAnswer: -195800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -29*k - 531. Give y(22).\nAnswer: -1169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12936, -57938, -132942, -237948, -372956?\n\"Answer: -15001*t**2 + t + 2064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -20. What is the least common multiple of g and ((-4)\/(-3))\/((-6)\/(-27))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15292420981 and 739.\nAnswer: -15292420242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4 - 5) + 8)*(-2)\/(-14). What is the third smallest value in -5, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 286, 1057, 2608, 5215, 9154, 14701, 22132?\n\"Answer: 46*m**3 - 24*m**2 + 17*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10000010?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + (-3991)\/(-52). What is the highest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 9359, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4277 is divided by 897?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*m**2 + 2*m**2 - m + m**2 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.119 - -65.881. Let d = b + -65.999897. Round d to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1885398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -604902999, -604902997, -604902993, -604902987, -604902979, -604902969?\n\"Answer: g**2 - g - 604902999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -11. Let k = 0.9 + 0.1. Let n = t + k. What is the closest to 0 in 5\/2, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -1.85065266084?\nAnswer: -4.85065266084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.6 - -13. Let i = -3.2 - -3. What is the closest to i in 2\/3, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/39 (b) 0 (c) -5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177990 is divided by 136123?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.44 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -1.03. Let g = 27\/10 + -5\/2. Let o = -39 + 118\/3. What is the closest to -1 in o, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3039117 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from pprpgppqppqrgp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -391148 - -118.\nAnswer: -391030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 21*t = 4. Solve -o + 2*a - 1 = 0, -5 - t = 2*o + 3*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/8 - 17*h**3\/3 - 9*h**2. Let u be a(-11). Let q(t) = -3*t**2 - 12*t**2 - 1 + 2*t**2. Give q(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55658680 to the nearest 100000.\nAnswer: -55700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 16 - 1. Let s = x + 9. Suppose -2*w + 4*t + 15 = -37, 4 = -t. What is the lowest common multiple of w and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafayfa. What is prob of sequence aaaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 37. Let u be w\/(-1 + (-55)\/(-60)). What is the highest common factor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/420 + 2*g**5\/105 - g**4\/12 - 10*g**3\/21 + 64*g**2. Factor i(m).\nAnswer: 2*(m - 2)*(m + 1)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:08 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 64 (b) 0.1 (c) -218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1240 and 237336.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*q = 2, 4*s - q = q - 12. Let m = s + 8. Solve -8 = -3*u + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a + 3*a + 2*a)*(-5*a**3 - a**3 + 3*a**3) + 6*a**4 + 5*a**2 - 13*a**4 + 6*a**4)*(-2 + 6 - 2)*(-3 + 1 + 4).\nAnswer: -28*a**4 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205672610 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 4*m - 2436. What is b(-51)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/36793, 6, -0.15, 4\/3?\nAnswer: -2\/36793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/540 + 157*r**5\/270 - 2051*r**4\/108 + 7007*r**3\/27 - 8314*r**2. Suppose m(f) = 0. Calculate f.\nAnswer: 7, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122961*f**2 - 89660*f wrt f?\nAnswer: 245922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61495617 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4\/3 + 44*i**3\/3 + 48*i**2 + 64*i\/3 - 256\/3.\nAnswer: 4*(i - 1)*(i + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1134*y**2 + 1134*y**2 - 3382*y**3 + (y**2 + y - y)*(4*y - 3*y + 0*y) + 4*y**3 + 2*y**3 - 5*y**3)*(2 + 1 - 5) as q + b*y**3 + l*y + v*y**2 and give b.\nAnswer: 6760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -4\/15 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -41. Let h = 4\/9 + 1\/18. Which is the closest to 3\/5? (a) 0 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-1)\/g)*g*(g*g*g**(2\/3))\/g*g\/g**(1\/2)*g**(-1\/12))\/((g*g**1\/g*g*g)**(1\/4)*(g*g**1)**(4\/13)) assuming g is positive.\nAnswer: g**(223\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o)\/o**(1\/4)*(o\/(o*o**4*o))\/((o\/o**(2\/7))\/o) assuming o is positive.\nAnswer: o**(-195\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 3*v + 3*v)*(-8*v**2 - 436900 + 436899 + 2*v + 28*v) as q + p*v**2 + m*v**4 + a*v + w*v**3 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39718, -158928, -357612, -635770?\nAnswer: -993402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 88347*x - 529974 = 0. Calculate x.\nAnswer: -29443, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**0)**(1\/40)\/(c**(-1\/5))**(-16))**22 assuming c is positive.\nAnswer: c**(-693\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 1\/2*x**4 - 1\/2*x**2 - 1\/6*x**6 + 2\/3*x**3 - 1\/5*x**5 - x - 2. Solve d(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 1 + 3*l + 1 - 4*l + 4*l - l**2 + (0 + 3 - 2)*(2*l**2 - 4*l**2 + l**2) + 1 - 1 - 2*l**2)*(4 - 2 - 4).\nAnswer: 12*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1866\/(-119424) + 957\/(-704)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039199857 rounded to 6 decimal places?\nAnswer: 0.000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*b + b = -34, -2*u - 35 = -5*b. Let i = -26 - u. Sort -3, i, -5 in ascending order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*c - 185*c + 246 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/295, 0.12861, 0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/191 (b) 5 (c) -143 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 6. Let x(c) = -c - 6. Let u(y) = 6*m(y) - 5*x(y). Let s be u(-6). Suppose 4*i + 5*g - 39 = 0, g + 4 - 3 = s. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 40?\nAnswer: -67\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4, -2*w = 4*y + 151465 - 461327. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*i = 205*i + 312. What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*o + 5*x + 411, 5*o + 3*x - 651 = 0. What is the highest common factor of o and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.602 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - -0.04. Let h = -0.0502 - -0.1202. Which is the third biggest value? (a) h (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34\/5 of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 577239517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18414396 and 814968.\nAnswer: 773404632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354649567 to the nearest integer?\nAnswer: 18832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 + 1. Let l(t) = -4*t - 18. Let j(i) = -7*i - 37. Let a(g) = 3*j(g) - 5*l(g). Let q be a(-15). Determine s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5 + 22\/5*p - 2\/5*p**4 + 18\/5*p**2 + 2\/5*p**3.\nAnswer: -2*(p - 4)*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 10, 0.2, -3 in decreasing order.\nAnswer: 10, 0.2, -3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2. Let j = -21 + 8. Let v be j\/(-7) - (-6)\/42. Let i(q) = q + 23. Determine v*i(x) - 22*d(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -580896 * 29\nAnswer: -16845984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((528\/(-56))\/((-64)\/28))\/(9\/(-6)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/208 and -71\/520.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12050 and 28.\nAnswer: 168700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:50 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in -0.5, 0.3, -0.1, -1\/6, -6, -1802?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124.687 - 123.9. Let z = d + -0.77773. What is z rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100011 (base 2) to base 15.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(1\/5))**45*(r*r**(6\/11)*r)\/r**(-5)*(r**5*r\/(r**10*r))**(-36) assuming r is positive.\nAnswer: r**(2954\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdbbbvkd. Give prob of sequence dk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/10 + x**4 + 5*x**3\/3 + x**2 - 2*x - 7. Let v be w(-5). Factor 3\/5*a**3 - 3\/5*a**4 + 0 + 3\/5*a**v - 3\/5*a.\nAnswer: -3*a*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189 + -123 + 12 - (0 - 45)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0941705cm in meters?\nAnswer: 0.000941705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*i*k*z**3 + 179*i*k*z**2 - i*k*z + 3*i*z**3 - 2*i*z**2 - 2*k*z**3 - z**3 - 5 wrt z.\nAnswer: -186*i*k + 18*i - 12*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 25 = 2*n. Suppose -i + 23 = 5*m - 34, -n*i = 5*m - 45. Let l(k) = 36*k**2. Let q be l(-1). What is the highest common factor of m and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 140 = -3*n + 14*g, -n - 2*g = -36. Let b = -44 + n. Let d be (-3 + 2)\/1 - 5. Put b, 2, d in decreasing order.\nAnswer: 2, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551569 is divided by 74.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g + 6. Let z be (-5)\/2*576\/180. Calculate a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 - 2*f - 10. Let u be p(-2). Let n be (-4)\/6*u*2\/(-16). Which is the second smallest value? (a) n (b) 5 (c) 2\/15 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 202852*r\/9 - 5143616738\/9.\nAnswer: -2*(r - 50713)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82141222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 47?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s. Let q = 17 - 18. Determine v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 27675*y**3 + 27680*y**3 + y + y**2 - 149 to the form g*y + x*y**3 + t*y**2 + c and give c.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -442.938?\nAnswer: -442.938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51851515 and 9938?\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*a = 313*a - 48386. Calculate the remainder when a is divided by 134.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347711 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9 + 4 + 10*d + 5. Let w(h) = -6*h**2. Determine l(w(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b59 + 32b8?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55, 77, 115, 175, 263, 385?\n\"Answer: d**3 + 2*d**2 + 9*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**4 + 12*z**3 - 8*z**2 - 8*z. Let k(d) = -4*d**4 - 13*d**3 + 9*d**2 + 8*d. Let u(i) = 4*k(i) + 5*o(i). Factor u(r).\nAnswer: 4*r*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6794 less than -37810?\nAnswer: -31016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255924054 and 804.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10374, 10375, 10376, 10377, 10378?\nAnswer: 10379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-273)\/182*(2*1)\/(-1). Solve 3 + m = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 less than -180?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + 30*b + 6. Let j = -86 - -101. Let y be o(j). Find the second derivative of -y*v**3 - 2*v**3 - 14*v + 16*v**3 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + 43*q + 15. Is x(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 91 + 72 = -4*d, 2*d = 2*s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1556.4523*-2\nAnswer: 3112.9046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(360)*1 + sqrt(360) + sqrt(360))*1)\/(((sqrt(360) + sqrt(360) + sqrt(360)*1)\/sqrt(9))\/(sqrt(225)\/sqrt(5))).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820 is divided by 1724?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 + 20?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695, -3491, -8135, -14615, -22919?\nAnswer: -33035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12 = -h - 2*o, -h = -2*o + 10. Let r(x) = -x**3 - x**2 + x - 1. Let l(w) = -42*w**3 - 39*w**2 + 39*w - 39. What is h*l(d) + 234*r(d)?\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 4:13 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-25) - 4\/(-10). Suppose -q + f = -2. Suppose -5*u + 19 = 3*a - u, 2*u = 5*a + q. Which is bigger: 0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 7 - 7 = 0. Let r be 1*d\/1 - 39\/4. Let l = r + 17\/2. What is the nearest to 3 in l, 0.2, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 + 8*o. Suppose -66*i + 5 = -61*i - 5*d, 2*d + 26 = -2*i. Give y(i).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 189. Calculate the remainder when u is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1761.58 and 7.2361.\nAnswer: -1754.3439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204631 and 7187040.\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/25960 and 89\/24?\nAnswer: 77880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 5\/1971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/5))**31)**0)**(-2\/91) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 4*w - 4. Let q(o) = -6*o**3 - o**2 - 11*o - 12. Let x(s) = -11*a(s) + 4*q(s). What is the remainder when 27 is divided by x(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 212.9596?\nAnswer: 1916.6364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/5*(-3)\/6. Let o = 75 - d. List the prime factors of o.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8898*k + 2965*k + 2963*k + 2969*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870841.\nAnswer: 29, 30029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7453747 divided by -763.\nAnswer: -9769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(4\/((-88)\/11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 0. Let o = 263 - 525\/2. Sort h, 0.2, o.\nAnswer: 0.2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**(-32)*(h*h**(-1\/20))**49 assuming h is positive.\nAnswer: h**(2851\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 7420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10712 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3211? (a) -4 (b) -3 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 + 8166*t - 2338711 = 0. Calculate t.\nAnswer: -8443, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2046175 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -315. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07535 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 347865, 695423, 1042981, 1390539?\n\"Answer: 347558*f + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-4))*j)\/j**8*j**(1\/4)*j**(1\/4)*j assuming j is positive.\nAnswer: j**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7120 to the nearest one hundred.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0 + 25. Let u(x) = -x + 10. Let j be u(8). Suppose -5*i = -3*c + l, -j*c + 2*i = c - 10. Solve -3*g + g = c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 - f - 2. Let w(q) = -10*q**2 + 3*q + 5. Let g(p) = -5*j(p) - 2*w(p). Let o = -331159 + 331160. Let b(d) = -d**2. Determine o*g(y) - 6*b(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iihd. Give prob of sequence di.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -331.618909 from -71.97.\nAnswer: 259.648909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*i + 164, 3*z - 3*i - 207 = -2*z. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -4 (b) 8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from npnannpnnanpnnn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7765 - -4?\nAnswer: -7761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p**2 + 17*p**2 - p**2)*(-258*p**2 + 17515*p - 17515*p) to a*p**4 + i*p**2 + s*p**3 + j*p + f and give a.\nAnswer: -2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-59)\/19 - (-12)\/4. Are o and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 232 = -2*u. Calculate the remainder when 113 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*r + 34 - 59, 0*r = -2*r - 6*g - 18 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/2*b**2 + 13\/2 - 67\/4*b + 3\/4*b**3.\nAnswer: (b - 13)*(b + 2)*(3*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:07 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/8 and 61\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**3\/3 + 4*v. Suppose 4*a - 8 = 3*n, 9*a + 2*n = 4*a + 10. Let f(r) = r - a*r + 0*r. Calculate u(f(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 4*z + 8. Let l(a) = 2*a**2 + 3*a + 6. Let u(r) = 4*l(r) - 3*o(r). Let b(m) = -2*m + 3. Calculate u(b(j)).\nAnswer: 8*j**2 - 24*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let l(z) = 9*z**2 - 76*z - 2. Let g(o) = -8*o**2 + 66*o + 2. Let u(r) = -7*g(r) - 6*l(r). Let t(v) = -v. Determine d*u(j) - 6*t(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b38d (base 15) in base 13?\nAnswer: -68518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 2, p: 1, b: 6, r: 1, h: 4}. Give prob of picking 3 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + u - 5. Let n be s(0). Let c(w) = -w**2 - 4*w + 7. Calculate c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*z - 51340006, 4*t - 3*z - 184124015 - 21235991 = 0. What is t rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = 10*j - 14*j + 16, -y + 4*j = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + z**2 - 32 + 30*z - 11*z. Let s be h(-17). Solve -2*d + 6 = 0, 3*g + s*d - 16 = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 26*z**2 + 6*z. Let t(r) = -11*r**2. Determine v(t(l)).\nAnswer: 3146*l**4 - 66*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*p**2 + 0 + 0 + 130*p**2 - 43*p**2.\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 4*t - 126*t + 22*t**2.\nAnswer: 21*t**2 - 122*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 3*g**3 - 3*g**3 + (2*g**2 - 3 + 3)*(-g - g + 0*g) - 5*g**3 + 4*g**3 + 2*g**3 + (1 + 0 + 0)*(0*g - 2*g - 3*g)*(2*g**2 + 2 - 2).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34887 divided by 87?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61284 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4098855?\nAnswer: 3, 5, 263, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14\/(d\/(d*d**(-2))))**(-14) assuming d is positive.\nAnswer: d**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 times -0.1?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 358 = 200. Let k = -96 + o. Calculate the highest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1953 - 1926. Solve -114 = -8*j + h*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 10*k**2 - 6*k + 2. Let y be d(5). Let j = -58 - y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 136?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57195535357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(-30)\/(-100)*15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, c: 1, j: 2, r: 1, i: 1}. What is prob of sequence cn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -47*k**2 + 90*k**2 - 44*k**2. Let w(t) = 5*t**2. Give n(w(b)).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83950097228.8 + -51?\nAnswer: 83950097177.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -22. Let s = -3 + p. What are the prime factors of (-39)\/s + (-1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2659937.7 from -2.\nAnswer: 2659935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/19, -1, 0.13, 4\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -32, 2\/111, 0.2, 4.\nAnswer: -32, -0.3, 2\/111, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 13 + 10 = 0. Let m be (3 - g)*2\/(-4). Suppose -4*s - 8 + 96 = m. Is 65\/3 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(22)\/(-2*sqrt(2)) - (sqrt(11) + sqrt(176) + 3)).\nAnswer: 9 + 33*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 48*i**2 - 4*i - 6. What is the tens digit of d(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -120*u**2 - 68*u - 2. Let f(n) = 12*n**2. Give a(f(t)).\nAnswer: -17280*t**4 - 816*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, v: 3, t: 2, z: 2}. What is prob of picking 1 v and 2 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 * 0.849763\nAnswer: -3.4840283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 14*g + 10. Let t(i) = 3*i**2 - 4 - 2*i + g - 2 + i**3 + 2. What is the units digit of t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 9 - 1. Let f be (5 + 1)\/(z - 0). Factor 4*u**2 - 2*u - f*u**3 + 5*u**3 + 2 - 4 - 2*u**2.\nAnswer: 2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2623 and 37883?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*p + 15 = 0. Suppose t + 19 = p*f, f + 2 - 3 = 3*t. Let i(o) = 2*o - 12. Let j be i(f). Solve -3 = l - j*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by -1 + 2*(3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w + 15. Suppose 6*n = -2*g + n + 9, w*n - 5 = -g. Differentiate r + 7 - r - g*r - r wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 1. Let q be (-7)\/5 + 6\/15. Let j be l(q). Suppose 161 = 2*g - 3*a, j*g + 0*a = -4*a + 196. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -81\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/22)\/((-2949)\/(-7864))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(((-100)\/10)\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.66324 millennia in centuries?\nAnswer: 466.6324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -0.0187?\nAnswer: -0.2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 212534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 32591732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16723940*h**2 + 111438138*h?\nAnswer: -33447880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81698949 rounded to the nearest ten thousand?\nAnswer: 81700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = -2*n - 2*v, -3*v - 3 = 0. Let c be (2 - n) + 88486\/(-24). Let b = 3693 + c. What is the common denominator of b and -95\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -17. Suppose 11 + x = b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/9, -8, -2, 4 in descending order.\nAnswer: 7, 4, -2\/9, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**6\/10 + 3*n**5\/20 + 113*n**3\/6 + 86*n. What is the second derivative of q(o) wrt o?\nAnswer: 36*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23747*r**4 + 300*r**2 + 23747*r**4 - r + 133*r**6 - 491*r**6 wrt r.\nAnswer: -42960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 126 = -13*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -30*x + 35 - 15 - 9. What are the prime factors of p(-4)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 46. Solve -2*m + 6*m + 10 = 3*o, 0 = w*m + 4*o - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 54*m**4 + 10*m**4 + (-m**3 + 3 - 3)*(-165*m - 30*m + 46*m).\nAnswer: 108*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92 - 25) + 23 + -31.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*3*3\/12. Let t(x) = -2*x**2 - 2*x + 2. Let g be t(1). Does 13 divide a\/(g - (-147)\/78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let h be t(-1). Let r = h + 6. Factor 4*g**2 + 0*g**3 - 16*g**4 - 9*g**r - g**5 - 2*g**3.\nAnswer: -2*g**2*(g + 1)**2*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-162))\/((-3)\/(-63))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 304000?\nAnswer: 304000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 2*s**2 + 0*s**4 + 1\/10*s**5 + 0 - 4*s + 0*s**3. Differentiate a(f) with respect to f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/12 - g**3\/3 + g**2 - 25*g. Let q be l(0). Suppose -3 = -q*t + t. Solve 3*p - t*d + 4 = -2, 2*p - 3*d = -6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567713 is divided by 635?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(5 + ((sqrt(208) + 2*sqrt(208) - sqrt(208)) + sqrt(208) - sqrt(208)) + sqrt(208))**2)*6.\nAnswer: -11352 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**6 + 65393*i**3 - 9737*i**2 + i - 794.\nAnswer: 720*i**3 + 392358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*q = 131*q - 280. Solve -61*k + q = -53*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*4)\/((sqrt(12) - (sqrt(12) - sqrt(768)*-1)) + sqrt(12)).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*q, 112*j - 220*j - 3*q = -107*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10936090127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose 20 = -c*q - 2*q. Sort q, 2, -2.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10344 = i, -4*o - 10386 = -98*i + 97*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1623)\/(-18) - ((-9)\/3)\/(-18). Let c = v + -57. Solve 3*u + 2*m - 3*m - 11 = 0, 4*u - c = 5*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -324, 3\/5, 2, 9, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0. Let n = -0.728 + 0.228. What is the nearest to 1\/4 in o, 5, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -215129511.\nAnswer: -1\/71709837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371822159*o**2 - 3928*o + 3726 wrt o?\nAnswer: 743644318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z + 3, 4*z = -3*x + 13. Let b(j) = j**2 - 2*j + 6. Let h be b(x). Solve 6*u + h = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1267 = -3*c. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:06 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2087 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*u - 11. Put 2, -1, u in decreasing order.\nAnswer: 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1209*-225.6\nAnswer: -272750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**3 - s**3 - 2*s**3 + s**3 - s**3 - 2*s**3 + (-4 + 4 - 3)*(2 - 2 - 2*s**3) + 4*s - 31 + s**3 - s + 29.\nAnswer: 8*s**3 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 47698822?\nAnswer: 47698821.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*v - 4, 0*v = 2*g - 2*v. Let u be (-193)\/(-13) + 5\/((-325)\/(-10)). Solve u = 4*z - g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(sqrt(35) - sqrt(140)*-5)\/sqrt(5) + ((sqrt(350)*-2 + sqrt(14))\/(sqrt(288)*2))**2.\nAnswer: 127\/64 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 8.5. Let f = p + -4. What is the second biggest value in 0.4, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17629, -35256, -52883?\nAnswer: -70510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 40*(9 - (-54)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 34 + -30 + -53 + 85\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 137, 132, 125?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 7*q + 35. Let l be v(-9). Calculate the highest common divisor of l and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*a + 80 = -159*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -v + 4, 2 = v + o - 2. Solve 0*q = v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g**3 + 4*g**2 + 92*g + 353. Let v be o(-4). Solve -v*q + 499*q - 12 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36782 is divided by 255.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*o**3*p*r**2 - m**3*o**2*p**2*r**3 + 2*m**3*p**3*r**3 + 2*m**2*p*r**2 - 40*m*o**3*p**3*r - o**3*p*r**3 + o**2*p**2*r**3 wrt p.\nAnswer: 12*m**3*r**3 - 240*m*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/30 + (-1 - (-16)\/42). Is z <= 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 19 - 4)*(2 - 2 - 1)*(1 - 3 + 0)*(4 - 4 + p**2) to l*p + x + s*p**2 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571076196?\nAnswer: 2, 3, 157, 303119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ac7 (base 13) in base 5?\nAnswer: -1143001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 10*u + 12992. Calculate the highest common factor of u and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -6*f + 17*f. Let b(m) = -23*m + 26. Let t(r) = -8*r + 9. Determine f*b(a) - 17*t(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 31. Suppose -3*j - 3*t + 4*t + i = 0, -3*t - 3 = 0. Which is greater: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 14*l**2 + 10. Let z be f(-7). Calculate the greatest common factor of z and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y + 28. Let l be (-40)\/56 - (-3)\/y. Which is greater: l or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*z**2 + 8376438*z**3 + 3*z - z - 8376067*z**3 in the form p*z**3 + b*z**2 + m + j*z and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053\/(-234) + (-5481)\/(-1260)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2011 is divided by 218.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 11482376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-297)\/(-12))\/(2\/16). Let v(c) = 4*c - 6. Let h be v(6). What is the greatest common factor of h and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44424)\/(-19) + 1 - 130\/1235. Let n = t - 1480. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 + k - 3. Suppose -3*r + 7 = -5. Let d be u(r). Is 0 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 1 = 5*i, -5*m = 1144*i - 1148*i + 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2065*t + 9730. Calculate h(-5).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107214.2 + -107214. Let i = 4 + -7. Which is the biggest value? (a) 0.3 (b) 5 (c) y (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}