diff --git "a/data/dm_maths/full_data_2/11218_11255.jsonl" "b/data/dm_maths/full_data_2/11218_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11218_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 693 minutes before 7:16 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2031 + 2515 - 15*q - 4549.\nAnswer: -15*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67454933 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 662990924 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 757*t**2 - 2*t**4 - 757*t**2 - 2 + 25*t to y*t**2 + a + q*t**3 + o*t + h*t**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 + -98. Let i(x) = 7*x - 9*x + z*x + 3*x - 4. What is i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -895152385 and -9.3172.\nAnswer: -895152394.3172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50 and 4.9.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360330981.\nAnswer: 3, 401, 299527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81225*f**3 - 127359660*f**2 + 1787516*f - 6272.\nAnswer: -(f + 1568)*(285*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0569913 to three decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x**2. Let j(y) = -2863 - 2864 - 55*y - 2863 - 127*y + 8588. What is v(j(a))?\nAnswer: 662480*a**2 + 14560*a + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/583?\nAnswer: -1\/583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -192 - 3.2\nAnswer: -195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2. Let u(q) = 107*q. Determine u(j(n)).\nAnswer: -428*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/4 + 7*c**3\/4 + 25*c**2\/4 - 67*c\/4 + 9 = 0. What is c?\nAnswer: -4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 6) + -1 + 5 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 18*g - 9 + 3 in the form w + x*g and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -18*q + 181. Let f be u(10). Suppose 8 = 5*l - 2. Sort -41, f, l in decreasing order.\nAnswer: l, f, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + 369 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 1101010011?\nAnswer: -1101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 18*j**2 - 18*j + 13. Suppose -3*h + 312 = -327. Let i = -196 + h. What is n(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568 * 0.2\nAnswer: -113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271 + 277. Let r(j) be the second derivative of 2\/3*j**4 + 0 + 2\/21*j**7 - 4*j**2 + 8*j + 0*j**m - 4\/5*j**5 + 2*j**3. Factor r(s).\nAnswer: 4*(s - 1)**3*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - g - 2*g. Let j(i) be the third derivative of i**8\/10080 - i**5\/60 + i**2. Let r(b) be the third derivative of j(b). What is r(z(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2151 is divided by 426.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:02 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 20*c - 10. Calculate h(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/6 + 4*r**3\/3 + 65*r**2\/6 = 0.\nAnswer: -5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275202142?\nAnswer: 2, 127, 1083473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2680?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 1 (b) 507 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36498 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(((-56)\/189)\/8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1387\/10 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3693 - 1176?\nAnswer: -1175.6307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88641 - -141308. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 10*k + 0 + 14*k + 0*k.\nAnswer: 4*k - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2260 and 6215.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -29. Suppose 4*f + x - 20 = p, -4*p = f + 4. Solve -3 = -3*w - 5*h + 5, h - 20 = f*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1492 times 129971\nAnswer: 193916732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-11825951.\nAnswer: 1182595.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3\/2, -6322\/5, 3, 0.3?\nAnswer: -6322\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(2046\/(-33))*64?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -888 by 296.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 914 + -909. Let k(t) be the second derivative of 1\/10*t**6 + 0 + 0*t**2 + t + 0*t**m + 0*t**4 - 4\/3*t**3. Find the second derivative of k(l) wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.1 (c) 1\/816 (d) -1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1728888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1372 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 4. Let l be m(0). Which is the nearest to -0.1? (a) -0.1 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-422)\/(-8))\/(((-15)\/(-12))\/5).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -c + 6*c + 4*b, -4*b - 8 = 0. Let u be c\/(-2) - (-5)\/(-10). Solve -2*x - 2*x**u + 2*x - 4*x**3 - 2*x**2 + 0*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4495 - -200.3595. Let f = 198 - h. What is f rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 6. Let g(o) = -113*o**2 + 2*o. Determine g(a(h)).\nAnswer: -113*h**4 - 1354*h**2 - 4056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 862*x + 557283.\nAnswer: (x - 1293)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 212\/106 + (-2)\/((-4)\/(-11))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 23*h**3 - 4*h**2 - 3*h - 4. Let g be b(4). Let n be (3\/(-3))\/((-4)\/g*-3). Let k = -80 - n. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 take away 6048?\nAnswer: -6049.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 1, f: 4, n: 5}. What is prob of picking 2 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*m + 167*m - 756 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61090189 is divided by 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:31 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11214*j**2 + 23174*j**2 - 4063 - 10835*j**2 wrt j.\nAnswer: 2250*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 18 = 2*h, h + f + 214 = 210 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 0*b**4 + b**4 + (b**3 + 0*b**3 + 0*b**3)*(-2*b + 0*b + b).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**3 - 14*h**2 - 13*h - 18. Let x(m) = -m**2 - m - 1. Let d(p) = -o(p) - 3*x(p). Is d(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 100 - 372 + 167 + 105.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 4*q**2 + 3. Let a be l(4). Let r(v) = 2*v**2 + 1. Let c be r(-1). Find the second derivative of 3*i - 4*i**c + i**a - 4*i wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Let b(m) be the third derivative of -m**6\/45 - 2*m**3\/3 + 3*m**2. Let l(y) be the first derivative of b(y). Calculate l(k(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-18)\/48*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from {i: 4, r: 6, v: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131 + 70 + -92 + -124.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364 - 369. Let x = 9 - 2. Put x, -3\/4, i in descending order.\nAnswer: x, -3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 49 + 30 - -2*3. Suppose p = 22*j - 5*j. Solve 0 = j*f + 4 + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 10*f + 12. Let n be b(-8). Let t be (-5)\/(n - (-9)\/3). Let y = 2 + t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2151 and 14318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4158 divided by -1340.\nAnswer: -2079\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -36*u + 12. Determine n(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtjjjtjjju. Give prob of picking 1 u, 1 t, and 1 j.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + z**2 + 0)*(4 - 3 - 5) + (-z + 0 + 0)*(-2 + 2*z + 2) as m*z + i*z**2 + f and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -26?\nAnswer: -35\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 44*s**2 + 2*s - 3. Let w(l) = 45*l**2 + 2*l - 4. Give -4*h(p) + 3*w(p).\nAnswer: -41*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249997.611 rounded to the nearest 1000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d - 1. Let c(b) = 6*b - 2. Let x(f) = f**2 + 5*f. Let g be x(-4). Let i(n) = g*c(n) + 3*t(n). What is the first derivative of i(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 * 2060500.5\nAnswer: 989040.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + v + 7 = 0, -305*v + 309*v + 13 = p. Put p, -91, -3, 7 in descending order.\nAnswer: 7, p, -3, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11182169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -1785.\nAnswer: -3\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Suppose 0 = 2*w + 1 + 17. Let s be (-12)\/30 - w\/60. What is the nearest to -1\/4 in s, r, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (12 - 27) + 8 + -7 - -14) + 53\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.7 + -2.3. Let z = 32 + s. Which is the biggest value? (a) -4 (b) -1\/3 (c) z (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 880774*w**3\/5 - 5284656*w**2\/5 + 72*w\/5.\nAnswer: 2*w*(w - 6)*(440387*w - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119559 = -43*t - 28098. Round t to the nearest ten.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62896877 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 3. Let z = -23 - 12. Let j be 2\/(-10) + (-42)\/z. Let n(a) = -7*a + 2. Let w(d) = 11*d - 3. Let l(y) = -8*n(y) - 5*w(y). Give j*i(v) - 2*l(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Let r = q - -2. Solve -r*l - 3*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i + 10. Let x(f) = 14*f - 29. Let n(u) = 6*x(u) + 17*z(u). Let s be n(-4). Are s and -1\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 391.3905 decades?\nAnswer: 46966.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -257 divided by -5\nAnswer: 257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2068688 (b) -0.5 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - 9 - (25 - 2547).\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1287889\/36 - -35772. Let v = 271\/51 + 244\/17. Calculate the common denominator of m and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v - 13. Let j(h) = h**2 - 80*h + 1312. Let y be j(23). Give n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = 8. Let o be (3\/6)\/(2\/(-48)). Let g = o - -39. What is the highest common factor of s and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/6*(-6)\/5*(-18)\/8.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425 + -35.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viviviivvv. Give prob of sequence viv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 98. Let k be b(0). Suppose -5*w - 2*w + k = 0. What is the least common multiple of w and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 39 = -4*c - 3*j, -5*c - 4*j = 50. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954*g**2 - 12*g**3 + 9*g**3 - 1908*g**2 + 954*g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(-50) assuming g is positive.\nAnswer: g**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 488 = -583. Let k = -11 + 10.9. Let q = -0.2 - k. Sort -2, o, q, 0.1 in decreasing order.\nAnswer: 0.1, q, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.265949 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 12 + 16 + -28 + -13 + 21 + 41?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + j**3 + j**4 - 6*j**2 + 0*j**3 + 7 + 3*j**2 in the form z*j**3 + v + q*j + n*j**4 + x*j**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1614826927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1225755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 228656 bigger than 228705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*l + 266*l - 138*l + 1223*l**3 + 157 wrt l.\nAnswer: 7338*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*r, 106*r + 3*m - 24 = 110*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by ((2 - 6) + -4)*2\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/6, 6997, 3\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8872 - -8876. Sort -2, 64, o, 3\/4 in descending order.\nAnswer: 64, o, 3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20209 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 21, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16.6887 and 52.\nAnswer: 35.3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 3. Let k(d) = -6*d - 17. Let z(s) = -6*k(s) - 34*l(s). Let y(q) = -q - 5. Let b(g) = -10*g - 55. Let w(m) = -4*b(m) + 44*y(m). What is w(z(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h - 1055. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -4. Let r be (7 - 0)*(v - -8). Solve 3 = -2*h - r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.903 + -1.9. Let j = k + 0.062. What is j rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352053 divided by -50\nAnswer: -352053\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3*g - 11*g + (0 + 1 + 1)*(0*g + 2*g - 3*g) + 1 - 1 - g + g + 4*g - 4*g)*(-2*g + 3*g - 2*g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -21.\nAnswer: 38\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 8\/53, -3\/2, -0.46, 0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1093991 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3550, -3293, -2812, -2107, -1178, -25, 1352?\n\"Answer: 112*n**2 - 79*n - 3583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 27 = m + k, 5*m + k = 152. Suppose 3*d = 3*t + 9, -4*d - d = 4*t + m. Which is the biggest value? (a) 5\/3 (b) 5\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28797 divided by 29\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.63 + 0.17. Let y = -21 + 18.1. Let u = g + y. Which is the closest to u? (a) -2 (b) 0.11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263291493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-15)*(-27)\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/5))**(-2) assuming v is positive.\nAnswer: v**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4725, -9541, -14345, -19131, -23893?\nAnswer: -28625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2149 = -5*o + 4*o, -4*k - 6433 = 3*o. Let a = o - -4416. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/648*-3*(-27)\/15)\/(12\/776)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4228)\/56)\/(-151))\/((-8)\/(-246)*(-6)\/(-16)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*3 - sqrt(19))**2 + -5 - ((-4*(0 + sqrt(304)))**2 - sqrt(304)).\nAnswer: -1145 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-2 - -171 - (-108 - -109))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5788428 = -3*q + 4*j + 5788433, -3*j = -3*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-102) - (-2)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 11*w - 6*w - 27, -5*w = -4*z + 58. Solve 5*o + 4*c = 13, 5*c + 52 = 4*o + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37164889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 29. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 13*a**2 - 14*a + 5. Let o = -91 - -79. Is v(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2. Let y(p) = -2*p**2 - 3*p - 3. Suppose 4 = 7*v - 10. Let i(a) = -5*a**2 - 4*a + 2*a - 2 + 4*a**2. Let w(x) = v*y(x) - 3*i(x). Determine f(w(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221324*d**2*s**2 - 10*d**2*s - 10*d**2 - 2*d*s**2 - 175*d*s + 43*d + 28*s**2 - 26 wrt d.\nAnswer: 442648*s**2 - 20*s - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c0320 (base 16) in base 10?\nAnswer: 2884384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s**(-2\/17))**37*s\/(s**1\/s)*s*s\/s**(-1\/4)*s**(1\/51) assuming s is positive.\nAnswer: s**(-1789\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.081 or 41\/766?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x + 3*r - 4*r, -3*x = -2*r - 35. What is the lowest common multiple of 130 and x?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47640 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68595 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnns when four letters picked without replacement from {j: 4, p: 1, n: 3, y: 1, s: 9}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d. Let x = 4 + -6. Is 10 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v + 5*l - 40, 5*l = 5*v. Suppose 2*j - y - 75 = 0, 0*y - v*y - 60 = -j. Let c = 60 - j. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340107545 a multiple of 1233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*o + 30, -8*o + 3*o + 18 = d. Suppose q + p + 2 = 2*p, -5*p + 10 = 4*q. Solve q = -j - d*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -50610*c**2 - c + 21. Let r(v) = -10*v**2. Determine i(r(f)).\nAnswer: -5061000*f**4 + 10*f**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 449*h - 475*h + 214*h + 31*h + 340*h.\nAnswer: 559*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17*k + 275. Let v be y(17). Let f = 10 + -23. Let z = f - v. Which is the nearest to -1\/3? (a) z (b) -5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z - 15*z = -34*z - 57*z. Suppose -32 = q - 5*q. Solve -q*s - 16 - 24 = z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -86 + 7\/2*n**2 + 2*n + 1\/3*n**3. What is x(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10740085406.81 minus 0.025?\nAnswer: -10740085406.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 + 10981\nAnswer: 10980.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9693, 9694, 9695, 9696, 9697, 9698?\n\"Answer: n + 9692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 4*z**2 + 4. Let k(p) = -21*p**3 + 21*p**2 - p + 21. Let g(f) = 11*a(f) - 2*k(f). Let t(q) be the first derivative of g(q). Factor t(v).\nAnswer: -2*(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5301110*b*n**2 + 2*b*n + 1316*n**2 - 851*n with respect to b.\nAnswer: -5301110*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 10*u**2 - u - 8. Let i be v(-10). Let o be -11 + 10 + 1\/(i\/4). What is the nearest to -1\/4 in -0.1, o, -0.09?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/11 - 18*j**3\/11 + 54*j**2\/11 - 54*j\/11 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-19)\/(-6))\/((-5)\/9) and -14\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, 0.24, -7.411?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/(o*o*o**(-1\/14)*o))\/o))\/o*o**24)**25 assuming o is positive.\nAnswer: o**(9075\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 - 13355 = 503*y for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.053, 0.24, -36, 1\/7 in descending order.\nAnswer: 0.24, 1\/7, -0.053, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -50740015267298 and -0.3.\nAnswer: -50740015267298.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 42*p + 2*r = -20, p + 3*r = -0*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*b + 5*t, 3*b - 6 = -5*t + 22. Is 28\/39 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9847 or 9856?\nAnswer: 9847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*z + 3*u - 11, -u = z - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + i - 1. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 - 77*w**2 + 33*w - 74. Calculate m(19).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 - 30*t**2 + 149)*(2 + 2*t - 8*t**2 + 10*t**2 + 0*t).\nAnswer: -60*t**4 - 60*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1b9ca45 (base 14) to base 2\nAnswer: -110100101111100011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 67. Suppose -7*z + t = 3*v - 3*z, 5*z = -5*v + 25. What is the second derivative of 10 - 10 - 19*k**v + 9*k - 2*k wrt k?\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3019 = 2142*f + 11975 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73831.16 microseconds in nanoseconds?\nAnswer: 73831160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:12 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*w = -190, 0 = -n + 2*n + w - 34. Let p be 15\/20 + (-430)\/8. Let y = p + 194. Calculate the remainder when y is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 55. Let j(n) = -n**2 + 6*n + 1. Let i be j(5). What is the third derivative of i*v**5 - 14*v**2 + 10*v**2 + f*v**2 wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 890 and 4.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5704651, 0.3, 3\/2 in decreasing order.\nAnswer: 5704651, 3\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*o - 26, -4*o + 6*o - 60 = -2*u. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(-l + 2*l + l)*(-1 + 3 - 4) to z + f*l and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.178*0.5\nAnswer: -0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 20812*r**3 + 10486*r**3 + 4*r**2 + 10406*r**3.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230031101 - 10331?\nAnswer: 230020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -53. Let q(s) = 9 + 3 + 4*s + d - 15. Let l(p) = -p**2 + 5*p + 1. Let z(n) = -n**2 - 3*n + 3. Let o be z(-3). Determine o*q(c) - 2*l(c).\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**7\/840 - f**6\/360 - f**4\/6 + 17*f**3\/6 - 15*f**2. Let g(t) be the first derivative of h(t). Calculate g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1422 - 996. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffkfffffffff. Give prob of sequence fkf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555972302?\nAnswer: 2, 1801, 154351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*n + 175 = 863*n + 22 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 62 + 4)*((1 + 3 - 3)*(-h**2 + 2*h**2 + h**2) + (h + 2 - 2)*(4 - 4 - h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 225\/(-12)*(-8)\/3. Let g = -43 - n. Solve -5*o - 3*v + g = -9, v = 4*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20836244 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0 - 4. Let g(q) = q + 1. Let o be g(0). Suppose 5*h + 3*d = 74, -x*h + 3*d = -16 - o. Solve 5*y - h = 2*a, -3*a = -4*y + 14 - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -72842?\nAnswer: 2\/36421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 278466659221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 3. Suppose -r - 2*r - 9 = b, -5*r - 15 = -3*b. Let d(v) = -9*v - 1. Let m be d(b). Let z(j) = -j + 1. Calculate m*w(h) + 4*z(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -3*t + 97. Suppose -2*i - o + 106 = 2*o, 0 = 2*i + o - 114. Let x = i - t. What is the second biggest value in 0, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 7506?\nAnswer: 7506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = -f + 4, -g - 22 = -3*f. Differentiate -4*m**2 + f*m**2 + m**2 + 0*m**2 - 5 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 4*g + g)*(2 + 2 - 6) - 214*g + 169*g - 823*g as x + i*g and give i.\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -330998 divided by -165499?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98642151889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((508\/(-8))\/((-10)\/4))\/((-6)\/(-90)). Solve s - 378 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 11. Let c be y(9). Suppose -j + 27 = c*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 727 + -440. Let h(o) = -2*o**2 + 6*o - 10. Let u be h(8). Let m = b - u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.16866 rounded to zero dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -155*n**2 + 2012*n + 49. Suppose -3*m + 0*m + 90 = 0. What is the least common multiple of m and t(13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9241, 18485, 27729, 36973, 46217?\n\"Answer: 9244*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4. Let f be 1 - 0 - (4 + -1). Let x be (8\/(-12))\/(f\/12). Does x = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46183128583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrrv when four letters picked without replacement from crvrx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297374.6 kilograms to nanograms.\nAnswer: 297374600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1782 and 602382.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-696)\/16)\/(6\/(-8)) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 906018027.9386 + 5.\nAnswer: 906018032.9386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -210 - -447. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84305*p**6 - 25*p**2 + 522*p + 2 wrt p.\nAnswer: 10116600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3515443 + -4?\nAnswer: -3515447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 438, 442, 460, 498, 562, 658?\n\"Answer: n**3 + n**2 - 6*n + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/71 - -170\/497. Let i = -5 - -3. Let n = 2.05 - 2. Which is the nearest to y? (a) -5 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.35? (a) -5 (b) 1\/4 (c) -0.27 (d) -1\/27 (e) 0 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/8, -0.2, -7455?\nAnswer: -7455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -377 + 1172. What are the prime factors of s?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 5*x**2 - 2*x + 2. Let f be y(-4). Let d(j) = j**3 + 7*j**2 + 6*j. Let h be d(f). Suppose h*m - 36 = -2*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 5, d: 3, v: 3}. What is prob of sequence qvdq?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12144\/(82 - -171) + (-16)\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1591 + 3183 - 3*k**2 + 24*k**3 - 1590 as y*k + a*k**2 + c*k**3 + b and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*h**2 + 30*h**2 - 149*h**2 as p + s*h + k*h**2 and give k.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -226159 >= -226158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 16 = -40 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n - 54 = 10*n. Suppose l + 137 - 34 = n*z, 4*z = -5*l + 199. Calculate the remainder when 136 is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 4*m = 15*k + 164, -44*k - 33*m - 63 = -19*k - 22*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(1\/2*12)*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 2*i + 13)*(-5 + 3 + 6)*(-4*i**2 - i**2 + 6*i**2).\nAnswer: -8*i**3 + 40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 896 - -214. Let a = -784 + c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59180, 59060, 58940, 58820?\nAnswer: 58700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.73 and -3.61.\nAnswer: 2.6353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3\/95, 5.52, 0.5 in descending order.\nAnswer: 5.52, 0.5, 3\/95, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(4\/17))\/s*s)\/(s*s**(1\/79)\/s) assuming s is positive.\nAnswer: s**(1642\/1343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aollooacaffoffbffaoa. What is prob of sequence cboa?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7695442\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 10\/36*15. Sort 4, 3, w in increasing order.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q - 1. Let l(s) = 9*s**3 - s**2 + 5*s + 5. Calculate -l(b) - 5*v(b).\nAnswer: -4*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 5*y - 20. Let q be p(-6). Suppose 72 = q*k - 18*k. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 - -2434?\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1872) + 2 + sqrt(1872) + 0)**2 + -3*(sqrt(1872) - (sqrt(1872) + 0))).\nAnswer: -44952 - 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2 - 2*i - i + 5*i + (-5*i + 3*i + 0*i)*(-2 + 3 + 1) + 0 - 4 + 77*i - 87*i)*(-8*i - 10*i + 9*i) + (-3*i - 2*i + 3*i)*(-i - 4*i + 2*i).\nAnswer: 123*i**2 + 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4139226686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*t = k - 175*t - 11, 4*t = -5*k - 29. Put 1, 25, -2, k, -3 in decreasing order.\nAnswer: 25, 1, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(sqrt(8)*-2 - sqrt(8)))\/(-2*sqrt(64)) - (-3*-2*sqrt(52)\/sqrt(4)*6 + 1).\nAnswer: -863*sqrt(13)\/24 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -60591*c**2 + 268*c - 45. Let u be h(15). Round u to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -57 - 187. What is z rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(539) + -1 + sqrt(539) - sqrt(539)) - -4*(sqrt(539) - -3*sqrt(539)).\nAnswer: 2 + 119*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56109959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 - 57*a - 6. What is the remainder when 253 is divided by d(-10)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317337483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14652932 and 1046638.\nAnswer: 14652932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6305615642 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62524572 a multiple of 3468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 6. Let d be (-1)\/(k - 105\/(-53)). Suppose -d = -3*t - 20. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105923 + -105928. Let f = -2.8 + 3. What is the second biggest value in f, 2\/5, d, 19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) + 0)) + 0 + (sqrt(343) + 1 + -2)**2 - (-2*(0 + sqrt(343))**2 - (-2 + sqrt(343))*6).\nAnswer: 28*sqrt(7) + 1018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -11*j**2\/2 - 93*j - 50. What is the remainder when 138 is divided by l(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 8658.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/25 - 76\/325. Which is the closest to 1? (a) 1\/2 (b) -3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)\/a*a**(-5)*a)**(2\/15)*((a**2)**(-50))**(-50) assuming a is positive.\nAnswer: a**(149977\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w + 20. Suppose -154 + 28 = 6*n. Let m = -26 - n. Is b(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -1 - 10) + 3\/1. Is 109 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let g = 206.8 + -206.86. What is the second biggest value in g, p, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + n. Suppose n = -5*z - 2*g + 550, -2*g = z - 4*z + 330. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386211323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 420\/9613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 347*m**2 + 1708 wrt m.\nAnswer: 694*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 510 + -507. Let p = -82 + 244\/3. Which is the closest to p? (a) -1 (b) j (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(68) - sqrt(68)) - (sqrt(68)*-1 - sqrt(68))*1)\/(-2*sqrt(4)*-4 + (-5*sqrt(4)*-2 - sqrt(4) - sqrt(4))).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -12.24.\nAnswer: 3.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2520 = 6*p. Let u = -242 + p. Solve u = -6*b + b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = -2*x. Suppose -x*b = -16 - 14. Suppose 19 = 2*c + f, 5*c + 3*f - 27 = 2*c. Calculate the remainder when c is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r - r)*(r**2 - 2 + 2) + 4 - 4 - 4*r**3 + (15*r**2 + 2970 - 2970)*((2*r - 3*r - r)*(-4 + 4 - 2) - 3*r + 2*r + 0*r).\nAnswer: 39*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149686566 - 149686560.91999789. Let n = o + -5.08. Round n to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9923148*b**3 - 4058169.\nAnswer: -29769444*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 10*i**2 + 7*i + 19. Calculate b(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*v - 2844 = -432*v. Is 79 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l + 6. Suppose l*y = 5*q - 5 - 41, 5*y = -3*q + 9. Solve 3*v + 7 = -2*f, -v - v = 2*f + q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 43006106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 85.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = 3*r + 30 - 87, 6*r - 11 = -n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57408377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 1, d: 1, q: 1, c: 1, v: 2}. Give prob of sequence cdqv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 16. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 27. Suppose -4*c + i - 10 = 2*s, -47 = -4*s + c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 55*k + 8 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = -0*l. Suppose -2*n - f - 46 = -0*n, 3*n - 2*f = -76. Let m = l - n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2)\/(2864\/144 - 20). Calculate the highest common factor of 2988 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 730724*s. Let v(u) = 3*u**2. What is v(f(q))?\nAnswer: 1601872692528*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - a - 3*a - 37, 4*p - 104 = 5*a. What is the remainder when 57 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 65*u**4\/12 - 14*u**3\/3 + 175*u**2. Differentiate k(a) with respect to a.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -30. Let c = -66 - s. Let y = -38.9986 - c. Round y to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2\/15 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 568440533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - 3707*c. Let z(r) = -21*r**2. Give p(z(j)).\nAnswer: -1323*j**4 + 77847*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7386348 is divided by 1421.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let d = -7763 + 7767. Solve 0*f - 2*i - 18 = -4*f, 3*f + d = -k*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6338 + 50*k + 3170 + 3170 as u*k + f and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2817, 7866, 15153, 24684, 36465, 50502?\n\"Answer: g**3 + 1113*g**2 + 1703*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216750 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hihihhhihhihhh. What is prob of picking 2 h?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419 a factor of 118950429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**3*u)**21\/((u*u\/(u\/(u\/u**(1\/24))))\/u**(-3\/7)) assuming u is positive.\nAnswer: u**(20767\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u**2 - 2*u**2 + 11*u + 0*u**2 + 22 - 3*u**2. Let s be g(-4). What is the greatest common factor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*x**2 - 25*x**2 - 55 + 53 - 25*x**2 + (-x + 0 + 0)*(x - x + x).\nAnswer: -134*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 3. Let y(h) = 1 + 2 - 4*h + 2*h - 1. Let q(w) = -w**3 - 2*w**2 - w + 2. Let a be q(-2). Calculate a*y(o) - 3*s(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639846736 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 1. Let i = 22 - 40. Let z = i + 17. Let s be l(z). Solve 0 = -c + 3*m - 4*m + 3, 0 = -2*c - 4*m + s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 10c (base 14) to base 12\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-4)\/(-80)). Let r(v) = 21*v**2 + 15*v + 23. Is r(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 - 4*y + 7. Let m be (-6)\/(1*2\/(-2)*2). What are the prime factors of z(m)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 911817 or 37384505\/41?\nAnswer: 911817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*t + 35, -27*w + 23*w - 4*t = t - 0*t - 71 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 36828865\nAnswer: -4\/36828865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 10 - (-1 - 4 - (-15 + 11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*f**2 - 98*f**2 + 44*f + 38 + 190*f**2.\nAnswer: -2*f**2 + 44*f + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(5 + sqrt(1088) + sqrt(1088)*-2) + (-1*sqrt(51))\/sqrt(3)*1*5))**2 + -3.\nAnswer: -3180*sqrt(17) + 48650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213240 divided by -4.\nAnswer: 53310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/25*-3*(-12130)\/(-12). What is the greatest common divisor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-2)\/(128\/(-24)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 733976791 a multiple of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006452 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 - 1689 = -5*j. Let d be (-1)\/(-3) - j\/(-3). Suppose -5*c - 6 = -d. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-10)\/15)\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8.2. Let h be ((-2)\/(-15))\/(3\/(-5)). Which is the third smallest value? (a) y (b) 2\/17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -135?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 21. Let l be w(-16). Let p(t) = 9*t + 7. Let n(y) = y. Let r(s) = 6*n(s) - p(s). Calculate r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -27. Let x be 1\/(-1 - -2) + k. Let f be (1*6\/14)\/x. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 5*m + 6. Let q be w(3). Let v be (1\/(-3))\/((-1)\/12). Suppose v*p + q + 4 = 0. Which is smaller: p or -1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241441, 241449, 241457?\nAnswer: 241465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 + -2345 + (-2 - (-1 + (0 - 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25922 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-2))\/((-3)\/6). Suppose -x + 28 = -5*v, 3*v = 3*x - 2*v - 74. Suppose 4*p - a = 19, n = -3*p - 3*a + x. Solve -2*f = -f + p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15863 = 5*j - 3*b - b, -7*b - 14 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 87907.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 45. Let t = m + 34.9. Which is bigger: -26 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311794988.\nAnswer: 2, 79, 986693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3043, 3703, 4363, 5023, 5683?\nAnswer: 6343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 51044\/(-7)) + 12.\nAnswer: 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.048 + -26.3.\nAnswer: -26.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39300 = -128*s + 188*s. What are the prime factors of s?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/59)*d*d**(-2\/21)*d assuming d is positive.\nAnswer: d**(2318\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 - 258*a**4 + 255*a**3 = 0 for a.\nAnswer: 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67039 divided by 427\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.1, -0.07, 11\/2, 0.2 in ascending order.\nAnswer: -4\/3, -0.1, -0.07, 0.2, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -1. Let q(d) = d**3 + d**2 + d + 6. Find the common denominator of q(3) and 49\/p + (5 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.373211 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 160738*o**3 + 129818*o**3 + 3*o**2.\nAnswer: 290556*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/2 + 1\/(-2). Let h be (-8)\/(-216)*6 - 14\/(-18). Is 2 a factor of -3 + m - (-1)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2634, -2690, -2782, -2910?\nAnswer: -3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 147706*h + 147706*h + 160 - 3*h**2 in the form m*h + p*h**3 + k + n*h**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*s - 6, 2211*n - 2206*n + s = 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/9796 and -1.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((33\/30)\/(-11))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/809768 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 3 + 4.\nAnswer: 7 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 86*o = -207. Solve 0 = -o*g - 4*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4645, 9588, 14531, 19474, 24417, 29360?\n\"Answer: 4943*l - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1259 (c) -2\/13 (d) -0.2 (e) 0.3 (f) -3\/7 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*2*(-12)\/40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 145460.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m. Let d be b(-2). Factor 4744*w - 664 - w**5 + 34*w**4 - 361*w**3 + 2392 + 900*w**d - 1720*w.\nAnswer: -(w - 12)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23313374 and 428?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158545987.\nAnswer: 29, 409, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 40*l - 17. Let n be a(1). Let c(x) = -x**3 + 22*x**2 + 40*x - 17. Is 22 a factor of c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 3 - 3)*(2 - 1 + 3) + (-3*n + n + 0*n)*(-2*n + 2 - 2) + 3*n**2 + n - n.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Let l = -5415\/4 + 16253\/12. Which is the third smallest value? (a) m (b) l (c) 0.02 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/654 and -77\/135.\nAnswer: 29430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2905720\nAnswer: 1\/1452860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110010010111 (base 2) to base 7.\nAnswer: -161663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 50 - 84 = 3*j, -3*j = -3*t + 78. Suppose -7*k = -11*k + t. What is the remainder when 7 is divided by k + (4 - 2) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 53. Let y = 47 - b. Let r be y\/2*(-56)\/(-35). Solve 4*n + 0*n = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -39\/95 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3.7. Let f be 4\/(-14) - 219\/(-7). Let h = -67\/2 + f. Which is the second smallest value? (a) -4 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 11) to base 9.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46894*g + 7460*g + 3089*g.\nAnswer: -36345*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 0*h - 3*h + (h - h - h)*(-2 + 10 - 1).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(132)*-2 - sqrt(132)))\/(sqrt(396)*-1))\/(-6*-2*-5*sqrt(216)).\nAnswer: -sqrt(2)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 6) + 324\/84.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0197 - 4.7903. Let p = c - 0.11. Let j = 5 + p. What is j rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 + 232*x - 1192. What is a(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*t**3 + 56352*t**2 - 56352*t**2.\nAnswer: -2*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 2*c**4 - c**4 + (-3 + 5*c**2 + 3)*(c**2 + 0 + 0).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -6. Let a be 0\/g + -360000*1. Round a to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035550 is divided by 818.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:50 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.072395?\nAnswer: -0.072395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1015)\/(-290)*6*(-2)\/112)\/(84\/80)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100490 + 502453\/5. Let n = 10.2 + -16.9. Let c = 7 + n. What is the nearest to -0.2 in g, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -59. Let b(l) = -3*l**2 - 15*l + 12. Calculate the remainder when i is divided by b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1762 divided by 1191\nAnswer: -1762\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.8063 nanometers to millimeters.\nAnswer: 0.0000268063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58065526 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 9786\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 5. What is y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/741 - 9\/(-26). Let p = 0.01 + -2.01. Let d = 5.6 + -6. Which is the nearest to p? (a) d (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14819 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5326*b**3*d**2 - 658*b**2*d**2 + 11*b*d**2 wrt b.\nAnswer: -31956*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(240)*-2)\/sqrt(10) + sqrt(264)\/(sqrt(33)\/sqrt(3))))\/((sqrt(80)\/(sqrt(10)*2) - (sqrt(32) + (1*sqrt(32) - sqrt(32))))*-4).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11073440 divided by -1107344?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q + 1. What are the prime factors of j(-3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6)**(-44) assuming r is positive.\nAnswer: r**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(0 + (sqrt(2548) - 4*sqrt(2548)) + 5 + sqrt(2548) + 1 + sqrt(2548) + sqrt(2548)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let q be v(1). Let l(y) = -y**3 - 6*y**2 + 9*y. Let g be l(-7). Let i be ((-20)\/g - 8\/(-14))*1. Solve q*w = j - 0 - 2, 2*j - i = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*w + 154*w = -4*k + 237, -5*k + 4*w + 294 = 0. Solve 2*i + 62 - k = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 8450, 146, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2\/5 - 2860*o - 2813976\/5 = 0. What is o?\nAnswer: -187, 3762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - w + 2. Let d be c(1). Suppose d*a - 382 = -l, -4*a = -l + 370 + 36. Suppose -4*x + 166 = -l. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 - 180*q**3 + 205*q**2 + 720*q - 740 = 0. Calculate q.\nAnswer: -37, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/24 - 49*m**3\/6 + 2401*m**2\/4 - 527*m. Let x(l) = 0. What is l?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -748581 and -748580 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6114703.\nAnswer: 7, 873529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 8:14 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4)*-6*(-8)\/6. Calculate the lowest common multiple of (1 - t) + (-2)\/2 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 133*w - 3. Let a be t(1). Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*f - 44 = 7*n, -3*f + 40 = 2*n for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8399 or -8418?\nAnswer: -8418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/840*(-5)\/(-7). What is the second smallest value in l, -1\/4, -0.2, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1 - (-7 + -114*3). Calculate the highest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - q**3 - q**2 + 4*q - 5 + 4. Let z(l) = -4*l**3 - 3*l**2 - l - 2. Calculate 6*d(a) - 2*z(a).\nAnswer: 2*a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 571529 greater than 571527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 7*s - 4. Let k be d(-6). Let x = 451\/9 - 50. Which is the nearest to k? (a) 5 (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 58496.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 11*g**2 - 11*g - 2. Suppose -2*o + 5*o = 27. What is the tens digit of x(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001*x = -1541*x - 106764 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*r + 2262, -3*r + r + 4*m + 1486 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 708.093573 to the nearest integer.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.61651 + 70.72649. Let c = -71 + s. What is c rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 4, 749.\nAnswer: 4, 49, 749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 92*q**2 + 140*q + 2148. What is j(-47)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 33) + 10 + 5 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 441720 divided by -15?\nAnswer: -29448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 95798*c + 3927785. What is a(-41)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1542*a**3 + 13*a**2 - 8 + 103*a**2 - 40 + 1574*a**3 + 80*a = 0. What is a?\nAnswer: -2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3754166 and 766.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, j: 3, o: 6, e: 1}. Give prob of sequence yeoy.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160259 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*o = 7, 3*o = 3*a - 8*a - 2. Let u = 12.02 + -12.42. What is the third biggest value in a, 2\/3, -2, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 2, x: 1, l: 2, e: 4, h: 1, q: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a0291 (base 12) in base 13?\nAnswer: 73744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2001, 1993, 1971, 1929, 1861, 1761, 1623?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let h = u - -0.5. Let n = -5.5 + h. What is the biggest value in 4, n, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35594988 - -5?\nAnswer: -35594983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -618, -911, -1186, -1437, -1658, -1843?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 16*f**2 - 11*f + 30. Let y be p(17). Suppose -y = -5*q + 218. What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1136*i**2 - 18 + 12 + 6 - 5389*i**2 as k + v*i**2 + q*i and give v.\nAnswer: -4253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.05237 millilitres in litres?\nAnswer: 0.04705237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**3 - 35*i**2 - 78*i - 28. Calculate w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 35 = 3*y - 8*w, 4*y = -2*w - 12. Let x = y - -8. Suppose -x*j + 5*i - 2*i + 384 = 0, -i - 5 = 0. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a**2 - 5*a + 4. Let o = -127 - -131. Let u be b(o). Solve -u = -11*i + 7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 26024, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 5. Let q be d(5). Let j(u) = u - 4. Let g be j(q). What is the units digit of (1 + 23 - g)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:53 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211512 is divided by 158.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 + (0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1383262 - 1383262 + 29441*a**2 to l*a + h*a**2 + b and give h.\nAnswer: 29441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 - (-4 - 1) - (179 - 150)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 5*w - 35, 5*k + 180*w - 50 = 175*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 7. What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*o**3 + 8*g**3 + 2*g**2*o**2 + 20*g*o**3 - g - 4 wrt g.\nAnswer: 12*g*o**3 + 48*g + 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*i + 2, -3 = p + 6*i - 9*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 3*f**2 - f**3 + 2*f**4 - 3*f**2 + (-60*f**3 - 52*f**3 + 64*f**3)*(-2*f + 4*f - 5*f).\nAnswer: 146*f**4 - f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g)**(-28) assuming g is positive.\nAnswer: g**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -520 + 521. Put 0, -1, s, 855, 2 in decreasing order.\nAnswer: 855, 2, s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6672837.\nAnswer: 3, 2224279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yvyjvyyylyyvyvyyy.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4136682 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2146 + 2138 - 6431 + 2147 + 7*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v - 5*v)*(2*v**4 - 13*v + 6*v + 2*v**4).\nAnswer: -8*v**5 + 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 58.8. What is the nearest to -4 in 5, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**4)**(4\/7)\/((l*l**6)\/(l**(-4\/7)*l*l)*(l**(1\/2))**(1\/4)) assuming l is positive.\nAnswer: l**(-575\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -49\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -12. What is the third biggest value in 0.04, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3461 - 3450. Let k(d) = -6*d**3 - 11*d**2 - 11*d. Let o(f) = f**3 + 2*f**2 + 2*f. Determine p*o(r) + 2*k(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1376 - 1385. Let a(n) = 2*n. Calculate a(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 - 113. Let z(d) = d**2 - 20*d - 15. Is 27 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4570 is divided by 1461.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/24 + 35*n**3\/3 + n**2 - 127. Let d be m(-68). Factor 1\/4*z**d + 7\/4*z - 2.\nAnswer: (z - 1)*(z + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-156)*136\/51\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 4*q**4 - 5*q**4 + (2 + 2*q**2 - 2)*(0*q**2 + 0*q**2 + 2*q**2) - 3*q**4 + 0*q**4 + 0*q**4 + 3490*q - 6985*q + 336*q**4 + 3491*q.\nAnswer: 335*q**4 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24477137, 24477139, 24477141, 24477143?\n\"Answer: 2*s + 24477135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, u: 4, y: 4, m: 1, k: 1, d: 1}. What is prob of picking 2 l, 1 y, and 1 k?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3*g - 1. Let b be r(4). Suppose 5*n - 4*l - 185 = 0, b*l = -3*n + 81 + 57. Let w = n - 10. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(112\/(-84)) - 3\/12*-169?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = 2 - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = w + w + 7, -2*m - 49*w - 270 = 18*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-254)\/3048 - (-1 - 21\/(-18)). Let j be (-19)\/(-44) - (-2)\/(-11). Which is the second biggest value? (a) t (b) 11 (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5\/((-175)\/(-5))*15\/(-3).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*o + 96, 3*o - 28 = -f - 6. Let v be (-6)\/4 - f\/(-50). Is v at most 331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22724190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - (25 - (40 + 18)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1986*t**2 - 1160470112 - 2629464*t - 1\/2*t**3 = 0. Calculate t.\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -968 + 1012. Calculate the highest common divisor of 253 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 - (-38)\/(-20). Suppose 0 = 5*x - 3*a + 14, -2*x - 5*a + 15 - 2 = 0. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = d + 5*y, -2*y - 64 = -d - 7. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 - 5738104*l\/3 - 91809152\/3.\nAnswer: -2*(l + 16)*(l + 2869036)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 126 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 5*l + 30 = -19*m, 0 = -5*m + 5*l + 10. Solve -2*y - y + 22 = -m*n, -20 = -5*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*x + 79*x + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -115*v - 4204. Determine b(-42).\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 5*n - 70, 3*j - 5*n + 2037 = 1947 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - 0) - (1 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961813.\nAnswer: 961813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(25)\/(sqrt(5) + sqrt(320))*3 - ((1*sqrt(45))\/sqrt(9) + (0 + sqrt(5))*-1)**2).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 54. Find the third derivative of 2*s**4 + 29*s**2 - 8 + s**3 + s**3 + n wrt s.\nAnswer: 48*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6346*c - 4 = 6351*c + 3*a + 8, -4*a = 4*c + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 382885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 6\/(-5))*90\/(-54)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y + 0 - 4*y**3 + 12*y - 2 - 8*y. Let m be x(-1). Solve m*n - 2 = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1946*v = 2890*v - 1325*v - 235237 for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, 1 e, and 1 u when four letters picked without replacement from {c: 1, u: 1, m: 1, e: 2, q: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -44, -60, -104, -188, -324?\n\"Answer: -2*q**3 + 4*q**2 + 2*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*o - 24, -395*o + 398*o - 10 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -645, -1969, -4535, -8757?\nAnswer: -15049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3432371 (base 8) to base 2\nAnswer: -11100011010011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4124.009 to the nearest integer.\nAnswer: -4124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1470 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.7972 rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122927 is divided by 280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7189.8173 - -7210.81729955. Let k = -21 + t. Round k to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1 + n**2 + 2*n + 1 + 1. Let s be (1 + -4)\/(-3) - 3. Determine k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from gghxhgxxdhj.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31561 + 3.31561. Let x = -155 - -2323\/15. Which is the closest to -0.3? (a) i (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.86477 micrograms to milligrams.\nAnswer: 0.07686477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 19*t**4\/6 + 17*t**3\/2 - t**2 + t - 3. Let q(o) be the second derivative of s(o). Differentiate q(g) with respect to g.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {d: 2, h: 18}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3. Let l(w) = -39*w + 112. Let x(v) = l(v) + 5*n(v). What is the derivative of x(a) wrt a?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 11 = 12*s, -1339*s + 1343*s + 29 = -3*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 2 + (6 - -17) + -13 + 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 79578*q + 527721507.\nAnswer: 3*(q - 13263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/13 + 6144*m**2\/13 - 12294*m\/13 + 6148\/13 = 0. What is m?\nAnswer: -3074, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 40341 = 3*j + 40460, -4*m + 3*j + 0*j - 113 = 0 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 237*j**2 - 53*j - 83. Let z be w(-2). Solve 48 = -z*x + 977*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**(13\/2)*j**(2\/3)\/j*j*j**6)\/(j**(-3\/5)*j**6)**(2\/77) assuming j is positive.\nAnswer: j**(45167\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, 923, 1891, 2859, 3827?\nAnswer: 4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189963 + 189965. Factor -27\/4*q**k + 75\/4*q + 9\/2.\nAnswer: -3*(q - 3)*(9*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 376124 and 84?\nAnswer: 1128372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3434, 15, 0, -6, 12, -5 in decreasing order.\nAnswer: 15, 12, 0, -1, -5, -6, -3434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*2070\/1725.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 250\/8 + (42\/(-49))\/((-48)\/42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26375*i**3*v**2 - 869*i**2*v**3 + 2*i*v**3 - i*v**2 - 213206*i*v + 10*v wrt i.\nAnswer: 158250*i*v**2 - 1738*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + 0.2. Let q = 66 + -67.6. Let k = a + q. What is k rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -253906*f - 20178.\nAnswer: -253906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 801 or 790?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (7 + -1 + -15) - (2 + 17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, 3\/4, 0.36, -1\/5, 76\/3 in decreasing order.\nAnswer: 76\/3, 2.4, 3\/4, 0.36, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9171093ml in litres?\nAnswer: 0.0009171093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, q: 2, p: 1, c: 2, x: 3}. What is prob of sequence pxv?\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 41?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.06396 and 11?\nAnswer: -11.70356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 774 + -750. Solve -75 + 3 = c*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-155)\/217 - 165530\/(-70) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2280164 is divided by 420.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**3 + 9*j**3 + 8*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b + 3*l = 6, 5*l + 26 = 4*b. Solve -b*p + 5*p + 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -23760*c**2 + 23751*c**2 + c + 3*c + c - 3*c. Let g(y) = 3*y + 23. Let p be g(-7). Let j(h) = 17*h**2 - 5*h. Determine p*j(o) + 5*b(o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -1\/10*n**5 + 0 + 0*n**2 - 12*n - 1\/3*n**3 - 1\/3*n**4. Suppose j(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 12*n + 5*u, -4*u = 3*n. Let a(l) = -l - 3 + l**2 + n*l - 70*l**3 + 71*l**3 + 1. What is a(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i = -30. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9416263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134 + 2.88?\nAnswer: 3.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let j be (170\/25)\/(w\/20). What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.2. Suppose 5*v = -2*h + 16, 10*v = 15*v - 5*h + 40. What is the nearest to b in 1, 10, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 838*j**3 - 599*j**3 + 0)*(-1 - 10 + 20).\nAnswer: 2151*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -3*b - 189 + 211, -3*s - 4*b = -13 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + l - 9 = 0, -3*s + 9 + 9 = -2*l. Suppose 2*v + 2*v - s = 0, -4*v - 22 = -2*b. Solve -12 = -2*i - n, 0*n + b = 3*i - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 582 by -2.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -8*1 - (-1131 - -56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*u**2 + 0*u**3 - 3\/4*u**4 + 0*u.\nAnswer: -3*u**2*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkgkkkkkkg. Give prob of picking 2 g and 2 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 15*j - 7. Calculate w(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.134985 meters to micrometers.\nAnswer: 6134985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 + 2. Let o(l) = 39*l + 197. Let u be o(-5). What is the closest to 1\/5 in a, u, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -7*p. Calculate the common denominator of 91\/16 and -1 - 1*p - (-1771)\/46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4870 - 4797 + 9665 - 1932*k).\nAnswer: -1932*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*m - v + 2134, -5*v - 1684 = -4*m. Let o = m - 283. What are the prime factors of o?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346788 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**1)**(-9\/4))**(-35))**(-32))**(-1\/5) assuming f is positive.\nAnswer: f**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12775, 103224, 348779, 827008, 1615479, 2791760?\nAnswer: 4433419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2271 + -2271. Suppose -2 = -y, 7*k - 2*k - 5*y - 145 = 0. Put -2, k, g, -1 in ascending order.\nAnswer: -2, -1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 32 - 4 = 0. Let h(y) = 6*y**2 + 7*y + 8. List the prime factors of h(v).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5898638 is divided by 84265.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 43. Let o(a) be the third derivative of -a**4\/24 - 2*a**3\/3 + 124*a**2 + 2. Let r(u) = 6*o(u) - q(u). What is r(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 2 - 10)*(-b**2 + 9*b**2 + 0*b**2) - b**2 - 2*b**2 + 0*b**2.\nAnswer: -355*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-8))\/((-1)\/(-30)). Calculate the remainder when 33 is divided by ((-36)\/i)\/((-8)\/(-60)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-5))\/((-1)\/(-5)). Let p = s - -4. Let l be ((-3)\/p)\/((-5)\/370000). What is l rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)*-2 - -15. Let g be 1\/(5\/(-15))*17\/(-3). What is the highest common factor of l and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/52)\/((-1917)\/38766).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 120\/131 (b) 2\/17 (c) 3\/8 (d) 1\/12 (e) -0.03 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 907, 1809, 2711, 3613, 4515, 5417?\n\"Answer: 902*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 - 12*v - 736. Calculate q(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7973*t**4 + 8079*t**4 - 27998*t**4 - 3605*t**2 + 3574*t**4 wrt t?\nAnswer: -200928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 16*w**2 + 6*w + 12. What is h(9)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8485854659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 6*d)*(0*d**2 + 5*d**2 - 7*d**2 + (-d - 1 + 1)*(-4*d + d + 2*d)).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16206217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(68)*1)*-5 + -2 + 4*3*(1*(1*sqrt(68) - sqrt(68)) + sqrt(68)))**2 + 5.\nAnswer: -196*sqrt(17) + 3386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**2 - 11*p + 1. Calculate y(4).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n**3 - n**2 - 5*n + 5. Let a(k) = 1 + 4*k + 65*k**3 - 64*k**3 - 5*k. Calculate -5*a(g) + h(g).\nAnswer: 4*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44006113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45.00067ng?\nAnswer: 0.04500067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -18*u + 33 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 - 5. Let a be 105\/12 - 1\/(-4). Let c be 1 + a\/8 - 2. Put k, 2\/21, c in decreasing order.\nAnswer: c, 2\/21, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 88 = -5*d. Suppose -1410*q - 399 = -1391*q. Which is bigger: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-1) + (-45)\/(-5). Let c(z) be the third derivative of 0 - 1\/60*z**6 + z**2 + 0*z**d + 0*z**5 + 0*z - 2\/3*z**3. Differentiate c(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18612 and -4270.\nAnswer: 14342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 959, 3222, 7627, 14888, 25719, 40834?\nAnswer: 60947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 - 43 = -20*l. Suppose 25 = 5*p - l. Let u(o) = -o**3 + 8*o**2 - 6*o - 5. Determine u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/11*d**4 + 0*d**3 + 0*d - 2\/11*d**5 + 0*d**2 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-2\/19)*(v**10\/v)\/v**4 assuming v is positive.\nAnswer: v**(99\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 3. Let h be r(4). Let u(d) = 2*d - 1. Let s(t) = -t**2 - 5*t + 2. Let l(f) = h*u(f) - 2*s(f). Differentiate l(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105864 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c**2*u - c**2 - 132746*c*u + 5929*u - 1661 wrt c?\nAnswer: -14*c*u - 2*c - 132746*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -29, -52, -91, -152, -241, -364, -527?\n\"Answer: -c**3 + c**2 - 9*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27936 and 56988.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(1400)\/sqrt(8)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -6\/7 (c) 2.5 (d) -80.7 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6*(1143932\/(-7))\/((-34)\/119) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 13. Let l(c) = -2*c + g*c + c. Let j(h) = 4*h**2. Give l(j(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*n + 11 = 2*y, -3*n - 63*n - 129 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 452513 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: Simplify (f*f**(-4)*f)\/f**5*((f\/f**(3\/8))\/f)\/f**(-1)*(f\/(f\/f**(-1\/8))*f*f**(-1))\/(f**2\/f)**(-3) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692723029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2228452?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 15 = -9*j. Let l(n) = n**3 + 9*n**2 + 9*n + 4. Let z be l(-8). Let u = 0 - z. Is u smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 621*w**2 - 1238*w - 4. What is x(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172382056.\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16552988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = 2*c - 4*u, 2*c - 5*u + 755 = 105. Let j be (-2)\/(-11) + c\/(-55). Let l = 15 - j. Solve -4*d + l + 19 = 4*s, -2*d + 2*s - 2 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (228*46\/699200)\/(2\/8)\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16307 + 5?\nAnswer: -16302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12115 * 1.6\nAnswer: -19384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4427164 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12587 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**2 + v - 4. Let u be a(3). Let p = u - -175. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by 5.\nAnswer: -224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:50 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470605 is divided by 167?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 5*m**3\/3 - 1965*m**2 + 772245*m + 6771. Suppose y(f) = 0. Calculate f.\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -5*m**2\/2 + 203. Let z(i) = 62*i + 1. What is o(z(v))?\nAnswer: -310*v - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5290 is divided by 45.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -38*v. Let q(l) = 13*l. Calculate 6*b(m) + 17*q(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185499246 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -5 - -4) - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -308, -462, -616, -770, -924?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 17*y**2 + 20*y - 43. Let c be b(18). Let j(m) = -245*m + 30. Is j(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337232262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*o**2 - 26*o**2 - 36*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l + 127*l - 63*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyylyyyylylyyl. What is prob of picking 3 y and 1 l?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -9cb27?\nAnswer: 9cb29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*r + 653, 3*b = 6*r - 2*r - 371. Calculate the common denominator of (66\/30 + -2)\/((-16)\/310) and 0 + -1 + b\/(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 69 = -57*c. Let t be 0*1\/1 + -5. Sort 5, c, t, -1.\nAnswer: t, c, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17. Is (3 - 8 - o)*-3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119168 divided by -49?\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:34 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 43. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3813398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1748 + 1786. Calculate the greatest common divisor of 3401 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10984 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 21*i**2 + 49*i + 121. Calculate t(21).\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64216595.\nAnswer: 5, 12843319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352398570?\nAnswer: 2, 5, 135239857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 31464 - 143443. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 7*g + 6*g + 4*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 2*f + 68*f - 60 + 24*f.\nAnswer: 90*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 842274 to the power of 1\/2, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let c = 10 - 8. Suppose -c*q = 3*q. Solve -p + t = -q*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 159?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1714854, -1714855, -1714856, -1714857?\n\"Answer: -x - 1714853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -97c - -4?\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11e0 - 0?\nAnswer: 11e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-162) - (-4)\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 30. Let u = 45 - c. Let d = u + -12. Put 5, 3, d in increasing order.\nAnswer: 3, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74787 - -0.4\nAnswer: -74786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1571352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5701 divided by -408.\nAnswer: 5701\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 25. Let h = -12 + j. Sort -4, h, -8 in decreasing order.\nAnswer: h, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) 27 (c) 19 (d) 0.1 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935266461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/49009 and 50\/9.\nAnswer: 441081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3980.2 + 3980.9. Which is the third smallest value? (a) -4 (b) -154 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:33 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21305 - -21334.922. Let p = -0.078 - v. Let k = 14.6 - 11.6. Is p < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3812 - -3812. Let m = 4 + -9. Let z = -8 - m. Put 3, p, z in decreasing order.\nAnswer: 3, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4872 + -3840. Does 129 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.015 in -0.2, 6, -2\/9, 0.2, 210?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -25, -1863 - 5678 = -2*v + b. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, -8, -43, -78?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 - -95. Let u(x) = x**2 - 7*x + 4. Let y be u(7). Solve -16 = -m*o + y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 1)*(-5 - 6 - 1)*(-21*s + 32*s - 16*s - 4).\nAnswer: -480*s - 384","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3619.153 years to millennia.\nAnswer: 3.619153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t**6)*t**2*((t\/t**25)\/t)\/t**9 assuming t is positive.\nAnswer: t**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.53 and -2558?\nAnswer: -11587.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127132858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2095908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 4) in base 5?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 n when three letters picked without replacement from nnnnnneennnnnnnnnnnn?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 1433.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l + b, 0*l + 2*b = -4*l + 2. Suppose 3*q - l*w - 355 = 0, 41 = -3*q - 2*w + 376. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4207 + -4211. Let h(g) be the third derivative of -g**6\/20 - g**5\/10 - 2*g**2. Let c(f) = -5*f**3 - 5*f**2. What is v*c(y) + 3*h(y)?\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -28. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a factor of 204222855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 6*h + 1. Let n be (-4)\/(((-2)\/3)\/1). Let r be k(n). Let f be (3 - 1 - 2)*r. Is f > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 3*w + 7. Let r(j) = -j + 20. Let t be (-1)\/3 + (-56)\/(-6). What is the remainder when r(t) is divided by o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15167572 and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-6)\/27)\/12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15950?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287248191.\nAnswer: 167, 1567, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.93 - -0.47. Let r = s + -4.4. Sort -0.07, -0.1, r.\nAnswer: -0.1, -0.07, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53551, 53340, 53117, 52882, 52635?\nAnswer: 52376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/((-5)\/30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116868324 and 3268.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/12 - 3*c. Let b(n) be the second derivative of 0*n**2 + n + 1\/3*n**3 + 0. Determine b(w(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 2604*j.\nAnswer: 3*j*(j + 868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Suppose m - 5*m = -i*b + 21, -3*b = 2*m + 5. Let r = -3 - -5. What is the remainder when r is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8*w - 9*w = 50, -2*w = -4*b + 64. Calculate the highest common factor of 618 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 6:00 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86948*m**5 + 86*m**2 - 12656767*m?\nAnswer: 1738960*m**3 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 3*d**4\/4 + 20*d. Let p(u) = -2*u. Calculate p(q(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 13*h**2 - 33*h + 1723. Calculate i(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002679 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 406251720 divided by 5\nAnswer: 81250344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -841176859654.\nAnswer: -841176859653.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2\/(-6) - 0. Let v(i) = -6*i**3 - i - 1. What is v(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*v**2 + 71*v**2 - 59*v**2 + 81*v**2 - 2 to i + b*v + q*v**2 and give q.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (5 - (-8 + (6 - 0)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 3. Let b(s) = -4*s + 4. What is -4*b(a) - 5*y(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/43))**4*v**(-1\/4)*v**(1\/3)*v)**(-48) assuming v is positive.\nAnswer: v**(-1852\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111\/2 + -55. Which is smaller: -0.49 or m?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -290, -2030, -5224, -9872?\n\"Answer: -727*f**2 + 441*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 6. Let r be d(-2). Suppose -r*y - 5*x = -1060, -5*y + 3222 - 603 = -3*x. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(0 + 3)*(-40)\/(-120). What is the smallest value in 2\/15, 3, -1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7480 at least -187008\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*x - 10, 6*x + 5*t - 30 = x. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*-2*sqrt(180))\/(sqrt(40)\/(sqrt(10)*-1)) - -3*(-2 + sqrt(4500) + -1))*6)**2.\nAnswer: -42768*sqrt(5) + 786996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 6*v**2 + 3*v - 5. What is b(7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.3 - -27. Let b be ((-4)\/14)\/((2320\/(-280))\/58). What is the closest to u in 0, b, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34693 divided by 10.\nAnswer: -34693\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27288 in -0.5, -0.3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4515, 9074, 13637, 18204, 22775?\n\"Answer: 2*v**2 + 4553*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*z = 81*z + 3*q + 7725, 3*q - 9663 = -5*z. What is the greatest common divisor of z and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 219*a*c**3*f**2 + 98*a*c**2*f**3 - 4*a*f**2 + 803*f**3 wrt c?\nAnswer: 657*a*c**2*f**2 + 196*a*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, y: 2}. What is prob of sequence hhh?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {j: 1, o: 10, n: 7}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = -8. Let v = -0.35 + -0.05. Let t = 0.5 + v. What is the closest to t in 0.5, z, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 30*w + 61. Let m be s(-27). Which is bigger: m or 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puu when three letters picked without replacement from pfffuppuppfppppu.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 632537551 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = s - 256. Let k be ((-6)\/8)\/((-1)\/56). Let r be 1 - -1 - k\/(-3). What is the highest common factor of r and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 7) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-3 + -3 + 3). Suppose -p*m + 3 = -3. What is the second derivative of 0*c**m + c**3 + 3*c - 6*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpt when three letters picked without replacement from {b: 2, t: 7, a: 1, p: 1, i: 7}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 74 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 2.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1716 - 1699. Calculate the highest common divisor of 136 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 55 = -2*x - 3, x = -2*b + 29. Suppose -c + 40 = -x. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.187 - 80.239. What is l rounded to zero dps?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -24 - 0) + -19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 64295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264 - 267. Let q be -1 + (-1)\/(-3) + (-2)\/j. Sort q, -29, -3.\nAnswer: -29, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y**2 - 6*y - 11. Let p = -4 - -26. Let m(h) be the first derivative of -2*h**3\/3 - h**2\/2 - 2*h - 7082. Calculate p*m(k) - 4*g(k).\nAnswer: -4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Suppose -d + 20 = 4*i, -k*d + 18 = -2*i + 6. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 656, 1\/377, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034192*-0.2.\nAnswer: 0.0068384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581870341?\nAnswer: 3, 71, 12121457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72519\/8 + 9065. Let q = 0.9 + 0.1. Which is the closest to 15? (a) q (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-25 - -19) + (-1 - 1 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (50\/(-18) + 10) - 4\/306. Which is the nearest to n? (a) 1 (b) -2 (c) 4\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 25 = -2*l, 16*l + 182 = -43*r + 45*r for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y**2 - y + 1. Let u(j) = -4*j**3 - 2*j**2 - 3*j + 7. Let o(f) = 3*f. Let c be o(1). Let i(n) = c*v(n) - u(n). Give i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Let l = 6 - a. Does 6 divide (-3 + l)\/(3\/(-51))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -15294.08, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -42*a + 1. Let w be (-11)\/(-3) + 5\/15. Suppose 0 = -5*n + n - w. What is the units digit of o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 1, z: 2, o: 2}. What is prob of picking 1 p, 2 r, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 + 1)*(-2*c**2 + 3*c**2 + 2*c**2) + (c**2 - 2*c**2 - c**2)*(-11 - 4 + 9))*(-3*c - c + 0*c).\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8076)\/(-30) + (-12)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**9\/20160 - 3*b**8\/2240 - 3*b**7\/280 - 17*b**4\/8 - 2*b**2 + 54. Let c(o) be the second derivative of y(o). Factor c(s).\nAnswer: -3*s**2*(s + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 481 = 52*g + 83 + 543 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 12155 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*h + (h - 3*h + 3*h)*(0 + 1 + 1) + (0*h + 0*h - h)*(4 - 4 + 1).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24700798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:13 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37993 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182545549*t**2*u**2 + 136730981*t*u**2 wrt t.\nAnswer: 365091098*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 51575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 1:48 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1744*g - 36805. Determine o(-21).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 1830.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 298, 343, 390, 439?\n\"Answer: f**2 + 42*f + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63261, -127269, -191283, -255303, -319329, -383361?\nAnswer: -447399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 f when three letters picked without replacement from ttftffffff?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -12*s + 41. Let f be o(11). Let c = f + 324. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3440398 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 9, 23, -4 in increasing order.\nAnswer: -4, -3, 4, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*r - 17. Let j(i) = -i**3 + 19*i**2 - 17*i - 18. Let y be j(r). Solve y*a + a = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2*(-8)\/(-24). What is the nearest to t in 0.1, 0.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -5 (c) -2 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 - 3)\/(14\/42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/6 + (-10)\/15. Suppose 2*c = -z*c + 20. Solve 2*m = -2 + c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.1807l to millilitres.\nAnswer: 700180.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*x + 51*x + 45*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 6) + -4 - (-13 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5*x - 2*x + 4*x + 4*x - t = 0, 0 = -5*x + 5*t - 50 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -4\/3 (c) -17\/16 (d) -0.005 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/(3\/1728*2). Suppose -5*a = 3*n - 491, j = 4*a + 5*n - 14. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13e27 + 16?\nAnswer: 13e3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63939 is divided by 1782.\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 350424169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - g - 1. Let u(z) = -3*z**2 - 8*z + 4. Let f(y) = u(y) - 2*x(y). Let t = -848 - -842. What is f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b + 7*b**2 - 3*b**3 - 7*b**2 + 5*b.\nAnswer: -3*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 1:38 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x - 10. Let o(l) = 7*l + 21. Let h(n) = -n**2 - 7*n - 17. Let y be h(-4). Let f(m) = y*b(m) - 2*o(m). Is 10 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-16)*4\/66*3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/6)\/i*i*i*i*i*(((i*i*i\/(i\/i**(4\/5))*i)\/i)\/i)\/i*i assuming i is positive.\nAnswer: i**(169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 0*i**2 - 4*i**2)*(-1 + 4 + 2) + (-2 + 5 - 2)*(-3 + 1 + 0)*(-11*i**2 + 901 - 901 + (2 - 3 - 1)*(0*i**2 - 2*i**2 + 0*i**2)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**7\/m)\/m*m**1\/m)\/((m**(2\/11)\/m)\/m**(-2\/3)))**45)**(-22\/5) assuming m is positive.\nAnswer: m**(-1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*o + 7, 0 = 2*i - 4*i - 3*o - 1. Factor 3*y - i*y**4 + 8*y**4 - y**2 - 2*y - 4*y**3.\nAnswer: y*(y - 1)*(2*y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a69 (base 16) in base 2?\nAnswer: -101001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*c - 34, 192*a - 196*a - 2*c + 16 = 0. Solve -9*v = -a*v, -5*y = -4*v - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11915918 divided by -7\nAnswer: -1702274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67731*d = -2*m + 67732*d, -3*d = -2*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/16)\/(27\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 919360 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 13. Which is greater: b or 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -109*i + 432. Let m be k(4). Let y be (-38)\/(-30) - 6\/(-15). Which is the fourth biggest value? (a) m (b) 0.4 (c) -0.1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 118, 286, 460, 640?\n\"Answer: 3*r**2 + 159*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 1. Let x(w) = w. Let y(d) = k(d) + x(d). Let o(v) be the first derivative of -32 + 2*v**2 + 1\/4*v**4 + 5*v + 0*v**3. Determine o(c) + 3*y(c).\nAnswer: c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 432*y - 7007. Let d be b(15). Let m = -849 + 1590. Let w = m + d. What are the prime factors of w?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83.98295 decades?\nAnswer: 10077.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzyy. Give prob of sequence yy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 3*c**2 - 3*c - 1. Let t be k(3). Suppose -2*o + t = -72. Factor 6*l**3 + o*l**4 - 54*l**4 + 3*l - 5*l.\nAnswer: 2*l*(l + 1)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5393.66um in centimeters?\nAnswer: 0.539366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -10. What is the smallest common multiple of u and (-7)\/(-2)*(-220)\/(-35)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(5))**2*3*-3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37683862 take away -0.3176?\nAnswer: -37683861.6824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from vllllgvlvvvvgllvvlbl?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (266\/57)\/(18\/27)*(-12)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(1\/5))\/(b\/b**(-7)))\/(b\/(b\/b**(-2))*b*(b\/b**(-7)*b*b)\/b) assuming b is positive.\nAnswer: b**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 2\/9, -2\/11, 0, 5.\nAnswer: -2\/11, 0, 2\/9, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Calculate the common denominator of (-2708)\/(-364) - 4 - 8\/52 and f\/4 + (-246)\/(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**3 + 4*x**2 - 17*x. Let k(t) = -8*t**3 - 3*t**2 + 17*t. Let f(l) = -3*i(l) - 4*k(l). Find the second derivative of f(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*15*(-21)\/(-70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.21 + -15. Let z = -12.21 + i. Let a = -12.3 - z. What is the nearest to 1\/4 in -2, a, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 4*o**2 - 3*o + 1. Let k be t(2). Suppose -p + 2*p + k*z - 8 = 0, 4*z + 8 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24842169257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 2*u**2 - 1)*(-14*u**2 - 19*u**2 - 82*u**2).\nAnswer: 230*u**4 - 690*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -201, -802, -1803, -3204?\n\"Answer: -200*o**2 - o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*q**2 - 195*q**3 - 16*q**2 + 5*q**2 wrt q?\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111.5 - 111. What is the second smallest value in -3\/23, c, -2?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9960 and 1860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96406 divided by -21?\nAnswer: -96406\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529303?\nAnswer: 17, 89959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/901 - 916\/4505. Let q = 0.9 - 0.9. What is the biggest value in -0.01, k, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (273\/(-105))\/(507\/(-7605))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (15177\/12 + 13)*(1 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*j*t + 20*h*j - 117863*h*t**5 - h*t - 958*j*t**5 + 2*j*t + 5*j - 51*t - 16 wrt t.\nAnswer: -2357260*h*t**3 - 19160*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 249*a**2 + 412*a - 86660. Give u(-252).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -77*u - 79*u + 420 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 44434*-0.13\nAnswer: -5776.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 0 - 1 + 0*k**2 - 4*k**2.\nAnswer: -6*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005635 rounded to five dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2. Let m(a) = 9545*a. Give f(m(l)).\nAnswer: 273321075*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.517594 - 0.017054. Let f = k - 1.5. What is f rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/385 and -53\/880.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190125, -190361, -190599, -190839, -191081, -191325?\nAnswer: -191571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1312663 (base 8) to base 11\nAnswer: 22aa90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-178)\/(-108) - 18\/12)\/((-1162)\/17430).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 1, f: 4}. What is prob of sequence qx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 19*o - 91*o + 729 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.758485 rounded to two decimal places?\nAnswer: 22.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 195925*c**2 + c + 1383082 wrt c?\nAnswer: 391850*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15011219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 16 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1) + 3 + 4 + -5. Solve -s*i + 3*i = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 110, 109?\n\"Answer: -c + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735*l + 2*w + 7234 = 737*l, 5*l = 2*w + 18064. What are the prime factors of l?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 117*n**3 - 119*n**3 - 119*n**3 + 19*n + 359*n**3.\nAnswer: 4*n**3 + 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 63 = 63. Let k(q) = -q**2 + 23*q - 39. Let f be k(n). Suppose f*m = -4*h + 438, -7*m + 3*m = -4*h - 556. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/2, -0.1, 4, 0.4 in increasing order.\nAnswer: -11\/2, -0.1, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -7) + (1 - -6). Let w = 8 - p. Solve 1 = -3*v + 2*o, -o + 3 = v - w*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2 - 34 + 2*g - 32.\nAnswer: 2*g - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -8. Let f(h) = 114*h - 3400. What is the lowest common multiple of t and f(30)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 8. Let w(i) = -i**3 + 17*i**2 - 29*i - 15. Let k be w(15). Suppose k = 9*q - q - 248. Let u(p) = 31*p + 0*p**2 - q*p + p**2. What is y(u(j))?\nAnswer: 4*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521 is divided by 192?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 10*l**2 - 512 + 254 + 3*l**3 + 258.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259949.\nAnswer: 259949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359 or -356?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -232203012 (base 4) to base 8\nAnswer: -564306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1150.\nAnswer: -3\/1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203*j**4 - 18*j**3 + 15768*j**2?\nAnswer: 4872*j - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 55 (c) -0.1 (d) 29\/6 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2080 + 2080 - 110*r**2 + 572*r**2)*(-88*r**3 + 11*r**3 - 21*r**3).\nAnswer: -45276*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -97570 divided by -19514\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let i = 12 - 9. Does w = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/30)\/((-2)\/(-3)). Suppose m*j - 24 = -4*j. What is the lowest common multiple of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1078878 + 6?\nAnswer: -1078872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*n + 168*n - 46 = 0. Solve -3*g = -0*g + 5*b - 35, 5*g = n*b + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -526 - -554. Solve 0 = 2*b + 32 - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 538, 618, 706, 808, 930?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31657 is divided by 1524.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 289908 in ascending order.\nAnswer: -2, 4, 289908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1284)\/264 - (-1 - 4) - (-176)\/484.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - f - 9, b + 61*f = 59*f + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 + 156*f - 66. Calculate d(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let o be 4\/((2 - -2)\/4). Suppose 0 = o*z - z - 120. Let k(t) = 21*t - z*t + 22*t. Determine b(k(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p. Let c(o) = 136*o**2 + 2130 - 458*o**2 - 2132. Determine t(c(u)).\nAnswer: -1610*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-60))\/((-187)\/(-102))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-18)*21\/70.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -168*t + 16631. What is z(99)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 3*w - 1. Suppose 7*u = 4*u. Suppose -j = -u*j + 9. Is r(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-3) + 2 + -1. Suppose -3 = 2*b - r. Let i = -110 - -114. What is the least common multiple of i and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -43, -41, -19, 29, 109?\n\"Answer: u**3 + u**2 - 22*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let v = f + 0.2. Let h be (-40)\/(-12) + (-15)\/(-9) - 10. Which is the closest to -1? (a) h (b) 2\/17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-12)\/((-48)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9*(-4)\/96)\/(2340\/832). Let k*r**3 + 2\/15*r - 4\/15*r**2 + 0 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121656 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.08 + -0.08. Suppose -13 = -4*x + 7. Which is the second smallest value? (a) 2\/7 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1664*r**2 + 1042*r - 1042*r to o*r + w*r**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 21 = -7. Let v = -12 - x. What is the smallest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**10\/90720 + g**9\/22680 - g**7\/3780 - g**6\/2160 - g**4\/12 - 2*g**2. Let f(t) be the second derivative of d(t). Factor f(h).\nAnswer: h*(h - 1)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(-191)\/(-126). Let j = y - 15\/28. Let t = -0.5204 + 0.1204. What is the biggest value in t, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*z = -20, -26 = p - 5*z - 55. Put -2, p, -8 in decreasing order.\nAnswer: p, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-2)\/(-24)). Let v = -3717.1 + 3719.1. Sort n, 4, v in descending order.\nAnswer: n, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2550.6 * -12135\nAnswer: -30951531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1) + 8 + -12 + 0 + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (-3 - (1 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(24640\/(-132)))\/((-138)\/8)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*a + 157*a - 196 = 0. Which is smaller: a or 70?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1945 and 3.\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -92, -286, -646, -1226, -2080, -3262?\n\"Answer: -9*h**3 - 2*h**2 - 13*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434 divided by -1873.\nAnswer: 434\/1873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12080652*f - 12080652*f + 4069*f**2)*(-2 - 1 + 1).\nAnswer: -8138*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*48\/27*-3. Let c = 77 - a. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12804\/17 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 545265 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-988)\/(-91)))\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -57. Solve -k = k + 5*d, l*k = -d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = 1976*z - 3958*z + 1972*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4) + -1*6. Let p = -4 - s. Solve p*t = -2*t - 4*n - 4, -4 = 2*t - 4*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -3)*(-40)\/(-48). Does -1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19637\/280924 - -222\/889. What is the common denominator of 57\/4 and s?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46848 from 0.3288119.\nAnswer: 46848.3288119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2713*c**3 + 2709*c**3 + 35 + 2654*c**3 - 8077*c**3.\nAnswer: -c**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Let o = 4 - w. Let l(z) = -z**3 - 15*z**2 - 13*z + 18. Let h be l(-14). Solve 0 = -c - o*c + h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*x - 201 = -4620, 0 = d - 4*x - 4446. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 54, 50, 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.36537 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {d: 3, a: 2, u: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**4 - 4*k**4 + 2*k**2 + 5*k - 2 - 3*k + 34 in the form r*k + p*k**3 + d*k**4 + c*k**2 + x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 5*o**2 - 3*o - 3. Let z be m(-5). Suppose z = -3*k + 6*k. What is the first derivative of -5*w**2 + 2*w**3 + 5*w**2 + k wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 18*v + 33. Calculate c(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 2*l + 1. Let s be n(-1). Let f(y) be the second derivative of -2*y + s + 0*y**2 + 1\/6*y**3. Give f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/3 + 1864865*z\/3 - 621622 = 0.\nAnswer: -1864866, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 497*w**2 - 1274*w - 102744. Calculate v(494).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/120 - 3*s**5\/20 + 5*s**4\/8 + 13*s**3\/6 + s**2. Let v be n(-10). Let u = v + 81. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187*r**2 - 380*r**2 + 193*r**2 - 7 - 6*r**3 to the form h*r**2 + w*r**3 + f*r + k and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 39.02545cm?\nAnswer: 0.3902545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-35)\/90)*((-34)\/12)\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 - 37790*n + 25659975 = 0.\nAnswer: -8185, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*o - 861. Let h be (o\/(-2))\/(26\/156). Suppose -h = -5*u + 501. List the prime factors of u.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**2 + 7*f - 3. Let a(m) = 15*m**2 - 14*m + 5. Let w(u) = 3*a(u) + 5*y(u). What is the second derivative of w(v) wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1997 + -1993. Solve 0 = -t*m - 12*g + 10*g + 8, -g = 3*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = -10*j - 19*j + 1591516. What are the prime factors of j?\nAnswer: 2, 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 979 and 1490038?\nAnswer: 1490038","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3\/5 - 168*i**2\/5 - 543*i\/5 + 708\/5 = 0. What is i?\nAnswer: -4, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -107.9. What is the closest to j in -0.1, -5, 2\/11, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 25*v**2 + 21*v - 18. Let h be a(-24). Find the second derivative of -30*u + 50*u + h*u**2 - 28*u + 2 + 25*u**2 wrt u.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 19. Suppose 5*i = s*i - 40. Let q be ((-36)\/i + 4)*(-280)\/4. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 64. Let f be (-21)\/4 + 4\/p. Let h = -5 - f. Solve -2*z - 2*z + 20 = h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-10))\/(4\/(-50)). Suppose -k + 57 + r = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 23411, -5, -18, -2 in increasing order.\nAnswer: -18, -5, -4, -2, 23411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + f - 59. Let x be l(0). Let z be (2 + 4)*x\/(-2). Let k = z + -1. What is the highest common factor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l + 5. Let u be c(0). Solve u*d + 17 = 42 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1169 - 1126. Suppose -98 - 16 = -3*j. Let u be j\/(-95) - c\/(-20). Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667680 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by (-467)\/(-9) + 31\/279.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 11*p + 11. Let a be c(-12). Let n = -14\/3 + 151\/33. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 319 + -317. Let y = 3 - 2. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r. Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/3 - 28418*d\/3 + 1076996\/3 = 0. What is d?\nAnswer: 38, 14171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -334*w**2 - 15*w - 21. Let x be 136\/(-12)*((2 - 3) + -5). Let m = x + -89. Let u be t(m). What is u rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u + 5 + u**2 - 4 - 5*u. Let i be 32\/(-10) + 3 - 216\/(-30). Calculate f(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*t - 20. Let u = -10 + t. Suppose -u*z + 30 = z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1319.3\nAnswer: 1315.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -62. Suppose 0 = 4*r + 5*b - 122, 92 = 3*r + 8*b - f*b. What is the remainder when 111 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:18 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5.3. Let t(h) = h**3 + 14*h**2 - 29*h + 37. Let l be t(-16). Let f be 5 + l + (-22)\/(-4). Sort f, 0.5, q in descending order.\nAnswer: 0.5, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12394 - -7*(-21)\/((-1911)\/(-52)) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 2\/11, 0.88, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -2.7. Which is the nearest to n? (a) -0.1 (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -6 + (147\/(-14))\/((-6)\/4). What is the nearest to 10 in 3\/2, 3, -7, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 - o + 2. Suppose -47*s = -49*s + 12. Let r be u(s). Let x be 148*(-3)\/15*10\/r. Calculate the greatest common divisor of 111 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99546813 + -3383820955\/34. Let h = g - 22665. What is the common denominator of 61\/18 and h?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(44)\/sqrt(4)))**2 + sqrt(228)\/sqrt(108).\nAnswer: sqrt(19)\/3 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 10*x - 8*x - 4 + 4 - 4*x + (2*x + 3 - 3)*(-2 - 1 + 2) - 3*x + x + 5*x in the form a*x + i and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222*-0.5.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:44 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9022468 by 2255617.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*i - 23 = 0, 0*i - 20 = -4*n + 4*i. Let j(w) = -n*w - 3*w + 9*w. Let o(y) = -5*y. Determine -7*j(a) + 3*o(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*s + 986 = 8669, -12867 = -5*z + 2*s. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1287 and 5674383.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(99)\/(sqrt(3) + -2*sqrt(3)))\/(sqrt(30)\/sqrt(160)) - ((sqrt(99)\/(-1*sqrt(9)) - -1*sqrt(176)) + sqrt(66)\/(sqrt(864) + sqrt(864)*-2)).\nAnswer: -83*sqrt(11)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from hlhhhlhlhhhhhh?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 187. Let t(d) = d - 4827. Determine w(t(n)).\nAnswer: -n + 5014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*u = -12, -13 = 3*k - 2*u + 9. Let n be (-3)\/4 - k\/(-24). What is the units digit of (n - -4*3) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8 + 0*a - 5*a + 9 + 5*a**2 + 5*a**3 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3020 - -3024. Let w = -98 - -170. Calculate the highest common factor of z and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4842)\/(-9) - (0 - -3)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*r = -8, -u + 3*r + 2 = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -46418 divided by 415\nAnswer: -46418\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 171. What are the prime factors of o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-2\/69))*n)\/(n*n**(17\/3)))**(-40) assuming n is positive.\nAnswer: n**(15560\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4601, 4749, 4997, 5345, 5793, 6341, 6989?\nAnswer: 7737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1215 + 1210. Which is the biggest value? (a) t (b) 2\/13 (c) 4 (d) -3.3 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**2 + 30*h - 116. Let n be f(5). Let z = 362 + n. Solve 6 = -z*y + 144*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y + 8 = -113*y - 130 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 720, 1562, 2736, 4248?\nAnswer: 6104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038 times -36?\nAnswer: -73368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -350, 70, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 1. Let n(i) = 21*i**2 + 54*i - 30. Let z = 102 + -103. Let o(s) = z*n(s) - 6*c(s). Suppose o(h) = 0. What is h?\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*r**3 + r**4 + 7192*r + 2*r**2 - 7187*r + r**4 to u*r**3 + d + x*r + o*r**4 + f*r**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*b + 83*b - 906 - 403 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 - 2*x + 4. Suppose -3*n - n = 44. Let s(c) be the second derivative of 7*c**4\/4 + 5*c**3\/3 - 21*c**2\/2 + 12*c. Determine n*f(v) - 2*s(v).\nAnswer: 2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 9*r**4 + 0*r + (3 - 3 - 1)*(-3*r - 2*r**4 + 3*r) - 5*r**2 + 5*r**2 - 2*r**4.\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -4989.258, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -4, -1\/2, 36, 0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11024 (base 5) in base 2?\nAnswer: -1011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 4\/43, 2\/7 in ascending order.\nAnswer: -1, 4\/43, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u + 4*u - 11 + 4*u)*(-u**2 + u**2 + 3*u**2) as n*u**2 + f*u**3 + b*u + o and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 4*o + 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*j - 6*j - 136, -3*g + 85 = -4*j. Let i(b) = b - 6. Let p be i(7). Let f be 6\/(3\/p) + 7. What is the greatest common factor of g and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20)\/((sqrt(196) + sqrt(196) + (sqrt(196) - (sqrt(196) + sqrt(196)*-1)) - sqrt(196)) + sqrt(196)).\nAnswer: -1 + sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 3) - (-1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + s + 4. Let m(u) = 24*u**2 + 9*u + 27. Let z(t) = 23*t**2 + 8*t + 27. Let c(h) = 2*m(h) - 3*z(h). Let i(o) = -4*c(o) - 27*l(o). Factor i(f).\nAnswer: 3*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2464 and 3504?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748, 2818, 8448, 19420, 37516, 64518, 102208?\nAnswer: 152368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**3 - 4*q. Let f(v) = 2*v + 1083 - 582 - 501. Calculate 4*f(k) + 2*h(k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - 3*m**2 + 2*m**2)*(-1 - 4 + 0)*(12*m - 67 + 67) in the form b*m + j*m**2 + u + o*m**3 and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 340*i - 1. Let f be (-182)\/21 + (-2)\/(-3). Let g be ((-20)\/f)\/((-5)\/(-4)). Is b(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - -1178967172.1.\nAnswer: 1178967120.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49600342157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/22 + (-9123)\/(-33). Let r(a) = -277 + 8*a + z - 13*a. Let s(d) = -16*d**2. Determine r(s(c)).\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/18 (b) 5 (c) -6771\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 - 2314 = -146*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 20*l**2 - 64*l + 128. Let x be g(-23). Suppose b = -1 - 1. Let u be b*(858\/4)\/(-3). What is the greatest common factor of u and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1380*g - 8275. Give n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/220 and 91\/69520.\nAnswer: 69520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 1, n: 2}. Give prob of picking 1 p and 1 n.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 561 - 567. Suppose -4*b - 5*u = 46, -3*u + u - 4 = 0. Let t be b\/2 - 1\/2. Is t != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 994 + 1105. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g**2 - g. Let s be i(1). Let w be 6\/(-4)*s\/9. Let f be 3 - (-2 + 3 - 0). Solve q = -d + 6, -q = -w*d + 4 + f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.668 + 0.822. Let i = 4.19 - n. What is the fourth biggest value in -1, i, -0.8, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus 0.1546?\nAnswer: -0.1846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-12\/11)*z*z**(-3))**(-34) assuming z is positive.\nAnswer: z**(782\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.09203 rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 7*a**2)*(-3*a**2 + a**2 + 0*a**2 + (-1 + 1 + 2*a)*(-2*a + 5*a - 4*a) + 4 - 4 - 2*a**2).\nAnswer: 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3358, -5, 4 in ascending order.\nAnswer: -3358, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 2 x when four letters picked without replacement from {b: 2, p: 10, f: 1, x: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -909b (base 13) to base 4.\nAnswer: -10312331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.13 + 1.93. Let h be 10\/45 + (-26)\/(-45). What is the smallest value in 0.1, y, h, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1235*i - 31*i + 2863 - 6754 - 33433 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.442 * 190498\nAnswer: -84200.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -9. Let l be 4\/s*(-4)\/(-21). Let h = 2.5 - 3. What is the nearest to 0 in 0, l, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(44\/(-16))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:03 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1975.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/38 and (-258)\/21*1\/4 - 0.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2692745, -2692747, -2692749, -2692751, -2692753?\nAnswer: -2692755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 46*m**3 + 19*m**2 - 34*m + 181. Is z(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004584 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + -4 - (-1 + 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/5, 12.65, -1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -3)\/((-1)\/7). Let y(l) = -6*l**3 - 9*l**2 - 4*l - 61. What is the hundreds digit of y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 6. Determine m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 - 2*x**2 + 5. Let p be (0 + 6)*1 + -2. Let b be c(p). Suppose -6*m + m = -b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1, 0.23, 11\/4, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054367435 to 6 dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 225 = -5*m + 65, 4*m - 209 = 3*v. Suppose -2*t + 7*t - 10 = 0. Let o be m + (0\/(-3) - t). What is the greatest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(3) + sqrt(2))*-5*-6.\nAnswer: 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 55?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*q - 2405 = 440*q - 485 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-2)\/15*36\/(-24). Let n = 0.4 - 0. Let w = n - 0.2. What is the nearest to g in w, 0.3, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278\/(-1668)*(8\/(-3))\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 26 = -5*f, -2*f = b - 0*f + 11. Is b*(-1551)\/(1 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 152556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 148*u + 2663. Determine y(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34526813.\nAnswer: 17, 1283, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4408 and 6396008.\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3311985179?\nAnswer: 61, 157, 173, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 9. Let u be g(8). Suppose 12 - u = w. Let v = -10 + w. Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289589291 to the power of 1\/3, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1974, -1910, -1716, -1320, -650, 366, 1800?\nAnswer: 3724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19907350 by 3981470.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 11*r**3 + 8*r**5 - 1 - 10*r**3 + 7*r**4 - 7*r**4 - 13*r**5 + (r + r - r)*(-6*r**4 + 0*r**4 + 4*r**4).\nAnswer: -10*r**5 + r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00124365013 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1053*r + 2. Let w(y) = -19*y - 1. Calculate w(f(j)).\nAnswer: -20007*j - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16832 is divided by 251.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-24) + 18\/8. Suppose 0*i = s*i. Solve -3*j = -i - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47\/4 (b) 2\/13 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1)*(0 + 3). Suppose 11 = 5*c - 4. Suppose -c*k + 20 = 8. Solve j*z = 3*m - 9, 2*z - 6*z - k*m - 28 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776529380.\nAnswer: 2, 5, 59, 877, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 171+5583.93753\nAnswer: 5754.93753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 416584841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -9888 in ascending order.\nAnswer: -9888, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.2 (c) 50 (d) 12\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18415*n**2 + 18416*n + 1 = 0 for n.\nAnswer: -1, -1\/18415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(3\/2) - -2. Suppose p*a - 3*q = 3*a - 18, -5*a - 3*q + 32 = 0. Let i = a - 2. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*m - 10, -4*m + 8*d = 6*d + 8. Let z be (-140)\/(-30) - m\/9. Let t(b) = -1 + b**2 + 2*b - 4*b - 6. Determine t(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let j = 52 - 58. Let q(o) = 3*o. Let l(k) = j*t(k) + q(k). Let n(y) = -2. Let u(x) = x - 2. Let p(d) = 2*n(d) - 2*u(d). Give p(l(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = -2*y - y, 0 = -5*h - 5. Let u be 1*(-1)\/y*-3. Let a be -1 - u\/(-1)*-1. Sort a, -0.5, -2 in descending order.\nAnswer: a, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 956 + 28*p**4 - 20793*p**3 + 20856*p**3 + 187 wrt p?\nAnswer: 112*p**3 + 189*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239627 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upfucpurcpcuju. Give prob of sequence fj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 193 = 39. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2. Let s(q) = 8*q**2 - 13. Give s(f(p)).\nAnswer: 8*p**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -2 + -12)\/((-4)\/(-98)). Let q = -209 - c. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-251 - 50 + 43)*(4 + 81*f - 4 + 118*f) to the form v + s*f and give s.\nAnswer: -51342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -487591477 rounded to the nearest 10000?\nAnswer: -487590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -0.3, -985, 0, 1?\nAnswer: -985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**2 - 18. Let u(b) = -72*b**2. Give n(u(f)).\nAnswer: 41472*f**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -1 - 1\/2*w**2 + w - 1\/6*w**4 + 0*w**3. Let i(p) be the first derivative of s(p). What is the derivative of i(h) wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11250 divided by 625.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.1. Let q = 2 - 2.5. Let u be (8 + -10)*(-1)\/(-5). Which is the closest to u? (a) q (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448232 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6\/11, -894 in increasing order.\nAnswer: -894, -6\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = 121098*m - 121091*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13036.1 rounded to the nearest 100?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -2*(-5)\/20*154. Which is bigger: 0.01 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -0.06, -1.104, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 77 (c) -1\/5 (d) 2\/5 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36365851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - 25. Let z = k - -207. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 8 in descending order.\nAnswer: 8, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqgq when four letters picked without replacement from {v: 5, z: 1, g: 3, q: 9}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232010 (base 5) to base 7.\nAnswer: -33301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -46*l**3 - 58*l**2 - 28*l + 4. Let y(g) = 136*g**3 + 176*g**2 + 84*g - 12. Let s(m) = -14*v(m) - 5*y(m). Suppose s(h) = 0. What is h?\nAnswer: -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**4)**(-44)*(p\/((p*p**(2\/9)\/p)\/p))**(28\/9) assuming p is positive.\nAnswer: p**(7576\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2897 - 52159\/18. Find the common denominator of b and 37\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, 5*v - 28*c - 45 = -23*c. Find the third derivative of v*p**2 + 2 + 11*p - 2*p - 34*p**4 - 9*p wrt p.\nAnswer: -816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4706)\/2184 - (-10)\/8 - 2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 10. Let j be k(7). Let y(c) = c**2 + 4*c + 3. Let t be y(j). What is the nearest to 0 in -0.2, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - (-4250)\/(-50))*((-2)\/(-10))\/(-1).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1230624912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - 76*i**2 - 20*i + 111. Calculate a(-25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 + -14)\/(6\/(-196)) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000219835 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + -82?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 20 = 9*v. Sort 3, -4, v in descending order.\nAnswer: 3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.368388821 rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {t: 1, u: 2, y: 3, s: 3, d: 1, e: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 18*o + 38 + 33 - 71 - 2*o**2 + 9*o**5. Let v(n) = -n**5 + n**2. Let k(g) = -r(g) - 2*v(g). Find the second derivative of k(f) wrt f.\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 6*i + 20. Let m be c(-4). Solve -z + 16 - m = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, 1\/3, -3\/2, -2, -58\/7, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 2 in descending order.\nAnswer: 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 + 16190*c**2\/9 + 2926700*c\/9.\nAnswer: 2*c*(c + 185)*(c + 7910)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43281, -151981, -333139, -586749, -912805, -1311301?\n\"Answer: d**3 - 36235*d**2 - 2*d - 7045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 7*y + 5. Let i(h) = -6 + 11*h + 2 - 2 - h**2. Let x be i(10). Give s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6, 5*a - 2*t = 3*a. Let b = 39 - 36. Let h = b + a. Is h not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*s = -254, -x - 4*x + 1298 = 4*s. Suppose 1479 = 3*o + x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 2*v**2 + 2. Let g(s) = 188*s**3 - 12*s**2 + 1090*s + 11. Let y(k) = -g(k) + 6*t(k). Find the second derivative of y(f) wrt f.\nAnswer: -1200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = 275. Let d = z + -53. Let b(p) = p**d - 30 + 25 + 7*p - 4*p. Give b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 - -0.3. Let d = -0.52 - -0.02. Put -3, a, d in decreasing order.\nAnswer: d, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.2 (c) -8 (d) -0.5 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-3 - 44)*1. Suppose 2*w - x = 5*f, -4*w + 19 = 6*f - f. Solve -3*u = 2*r + 18, 2*u - r + w = -2*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -6*j - 3*s - 102, -401 = -4*j + 5*s. Calculate the highest common factor of j and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(26\/3)*a\/a**(11\/7))\/(a*(a*a**(1\/12))\/a*a**(-14)) assuming a is positive.\nAnswer: a**(1765\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112171.548 rounded to the nearest ten?\nAnswer: -1112170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 593579 and 4389.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**2 + 1 - 1)*(i + i - 3*i)*(3294 + 14 + 11125) in the form j*i**3 + g*i**2 + f + t*i and give j.\nAnswer: 14433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 8*o - 3. Calculate b(-5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m. Let o(g) = 110 + 128*g**2 + 313*g**2 - 110. What is d(o(y))?\nAnswer: 882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (10 + -7 + (2 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -76.1534, -2\/13, -4?\nAnswer: -76.1534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Let y be 2*-1 + (-8)\/(-1). Suppose y - 1 = d*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -13\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u - 10. Let g be h(8). Let v be (7 - g)\/((-136)\/(-21)). Let j = -1\/34 + v. Is j at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11144132 and 1.\nAnswer: 11144132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01585 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/1187, 5, 67.\nAnswer: -3, -4\/1187, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12005 or 12003?\nAnswer: 12005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*a - 2568 = -228*a. List the prime factors of a.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 - 7*d**2 + 7*d - 7. Let t(x) = -3*x**3 + 6*x**2 - 6*x + 6. Let k be (24\/(-36))\/(2\/(-18)). Let q = k - 13. Give q*t(u) - 6*p(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - p - 1 - 30*p**3 - 2*p + 31*p**3. Calculate w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516913 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2 - 970644*r - 235537443684 = 0.\nAnswer: -485322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11130492.27 rounded to the nearest one hundred?\nAnswer: 11130500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87.8 - 88. Put y, 2\/5, 5 in decreasing order.\nAnswer: 5, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 2\/7 (b) 3 (c) 212 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*s**2 + 66 - 66)*(9*s**2 + 3*s**2 + 3*s - s) to the form w + j*s**4 + u*s**3 + z*s + f*s**2 and give j.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 126 - 62 + 51*f in the form o + z*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 - -6)\/((-1)\/5). Calculate the greatest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264628 and 26572.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 8) to base 6\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f*f**(-1))\/f)\/f*f))**(-15)*f**(-1\/8)\/f**(-6)*(((f**(-1\/2)\/f)\/f*f)\/f)**(-34)\/((f*f\/(f*f**0))\/f**(-1\/9)) assuming f is positive.\nAnswer: f**(5383\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 0) + 0 + 4*3. Suppose -z*y - y + 170 = 0. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r + 177*r + 1737. Let h(q) = -2*q**2 - 16*q + 6. Give h(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.082 times 2797699\nAnswer: -229411.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*v**4 - 2*k**2 - 31*k*v - v**4 + 32*v**3 wrt v?\nAnswer: 24*k**2*v**2 - 12*v**2 + 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + b - 2. Let w be k(1). Factor -y**4 + 2*y**5 + 5*y**4 - 16*y + 4*y**4 + 2*y**5 - 32*y**2 - 12*y**w.\nAnswer: 4*y*(y - 2)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1782*c**3 + c**2 + 8595*c.\nAnswer: 10692*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1665\/4 - -11771\/28. Calculate the common denominator of s and 9*(-10)\/(-15) - 940\/108.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let w(z) be the second derivative of z**7\/2520 - z**6\/144 + z**5\/30 - z**4\/12 + 33*z. Let t(d) be the third derivative of w(d). What is t(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1152 and 0.4.\nAnswer: 460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(720) + sqrt(720)*2*1 - ((sqrt(720) + 0)*-4 - -4*(sqrt(720) + (0 + sqrt(720) - sqrt(720)))))**2.\nAnswer: -38886 - 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1944.8 + 1945. Let k be (-2)\/5 + (-2)\/(-30). Which is the nearest to 2\/3? (a) i (b) k (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -163*c**2 - 81*c - 638. Let o(q) = -140*q**2 - 80*q - 636. Let m(w) = 7*o(w) - 6*x(w). Factor m(h).\nAnswer: -2*(h + 13)*(h + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15044385*r**3 - 12*r**2 - 9608*r - 4 wrt r.\nAnswer: 90266310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33693095 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - w + 3*w + 6)*(9*w - 9*w - w**2)*(12 + 2 + 86 - 6 + 4 + 3 + (-4 + 0 + 5)*(-2 + 0 + 1)) as o*w**2 + d + x*w + f*w**3 and give o.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*o - 43*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 0 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -148, -165, -138, -61, 72, 267, 530?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 71919 and 0.38?\nAnswer: 71918.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:57 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 + 27*f + 3. What is the lowest common multiple of k(9) and 744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by 77?\nAnswer: -194\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40102324 + 1?\nAnswer: -40102323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 3*a**2 + 89*a + 159. What is the tens digit of b(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3410*q**4 - 293*q + 3?\nAnswer: 40920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-4)*(133 + -3). Suppose -579*b + a*b = 18. Solve 3*o = -4*c - 10 + 27, 0 = 2*o + b*c - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s + 20. Let b = s - -20. Sort -5, -3, b in decreasing order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27202303?\nAnswer: 53, 337, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence habe when four letters picked without replacement from pefpbfpephaeehpe.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 1090, 1639, 2190, 2743, 3298, 3855?\nAnswer: 4414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 168 (c) -41 (d) 5 (e) -4 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145743797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.094 + -3.094. What is the closest to 4 in r, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-20)\/30?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/7 - 156*c**2 - 3*c\/7 + 156.\nAnswer: 3*(c - 364)*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 4*y**2 + 4*y + 13. Determine w(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170820?\nAnswer: 2, 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 7:45 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -231*m*z**3 - 8*m*z**2 - 20175332*m*z - 171*z**3 + 3*z**2 wrt z.\nAnswer: -1386*m*z - 16*m - 1026*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*p**2 - 519*p + 1 + 264*p + 257*p in the form x + a*p + b*p**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 3 + 0 + 0*n**2 - n**2 - 4. Let o(i) = -2*i**2. What is o(g(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1\/45 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-6)*h**(4\/23)*h assuming h is positive.\nAnswer: h**(-88\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -20. Suppose -4*f = 2*p - 0*f + 4, -37 = -r*p + f. What is the remainder when 20 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let k be m(-1). Suppose 0 = 4*q - 4 - 12. Suppose -k*t = -q*t + 26. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -0.1. Let x = -1 - m. What is x rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 + 21*a**2 + 712*a + 285. Let t(y) = 6*y**3 - 22*y**2 - 712*y - 284. Let p(f) = -4*h(f) - 5*t(f). Factor p(s).\nAnswer: -2*(s - 10)*(s + 7)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664269.\nAnswer: 3, 179, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -12. Suppose -2*y - 5*z + 569991 = -2*z, -5*z - 15 = l. Round y to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9315158 grams to nanograms.\nAnswer: 931515800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*f**4*x**2 - 2*f**4 + 47*f**2*x + 3*f*x**2 wrt f?\nAnswer: 3312*f*x**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13107 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.07909 * -5.4.\nAnswer: 11.227086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1970930*n - 3160. Let c be g(12). What is c rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226984 equal to 226173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 25. Let x = -37 + a. Let o be ((-172)\/x)\/(1\/(-3)). Round o to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + (-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/23)*q*q*(q**(1\/6)*q)\/q assuming q is positive.\nAnswer: q**(287\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -7*p, -150*b + 154*b = -8*p + 3*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 5*p + 6*p**2 - p**3 - p**2 - 7. Suppose -1 = -3*z + 17. Determine a(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43515214?\nAnswer: 2, 59, 368773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-584)\/6)\/(-4))\/((-1230)\/3690)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132.2 + -126.2. Sort -42, -4, s.\nAnswer: -42, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4*h + 4)*(-29 - 18 + 32) + (32 + 3 - 6)*(-1 + 1 + h) + 0 + 0 + 2*h as b*h + x and give b.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-3 - -2) + 3 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*h + 12 = 0, -5*c + 60*h = 61*h + 34 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 4, 0, -9, 2 in ascending order.\nAnswer: -9, 0, 2, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-40) + (6\/5)\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13 + 12 - (-1 - -3) - -1. What is the fourth biggest value in p, 1\/3, 5, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 297187072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49745, -99392, -149039?\nAnswer: -198686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -2*t. Let q be (t + -12)*-3*2. Suppose 0 = -5*l + 3864 + q. Round l to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 774? (a) -2\/13 (b) 196 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6732.103ug?\nAnswer: 0.006732103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 71. Let c be 1 + 27 - (-5 + b - -5). Let j be 72\/2*54\/8. Calculate the greatest common divisor of j and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2064124670 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 2}. Give prob of sequence hlh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -988, -2925, -5814, -9655, -14448?\nAnswer: -20193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from ksjsmjssk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 6*m - 80 = 5*i, 3*m + 2*i - 38 = 0. Let y = 136 - 80. What is the greatest common divisor of y and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 71 = -13. Let l = -37 - -46. Let t = b - l. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 45 = 5*o - 0, -4*o = -8. Suppose z*n = 6*n + 25. Solve 4*i + 7 = -n*f + 34, -18 = -2*i - 4*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*f = 490*f + 34363 + 24432 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161*j**3*o**3 - j**2*o**3 - 10*j*o**3 + 5*j*o + 3*o**3 wrt j.\nAnswer: 966*j*o**3 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*m - 57 - 69 + 100)*(-m - m + 0*m).\nAnswer: -60*m**2 + 52*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2382265 (base 9) to base 11.\nAnswer: -804392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6856904903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 3, 2, -45 in descending order.\nAnswer: 11, 4, 3, 2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, l: 5, u: 2, b: 2}. Give prob of picking 1 b and 2 l.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -1.1. Which is the nearest to 0.4? (a) 5 (b) 9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2219129 tonnes?\nAnswer: 221912900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 5*u - 7. Suppose 6*a + 64 = 508. Let m = -79 + a. What is p(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3267*t**3 - 15*t - 9. Let p(q) = -4901*q**3 + 21*q + 13. What is -5*p(m) - 7*z(m)?\nAnswer: 1636*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 352 (b) -3\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -5.\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let n(m) = 2*m**3 + 73*m**2 + 269*m + 5737. What is n(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38813764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2, 4*z - d + 5*d - 108 = 0. Solve 14 = -z*j + 32*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) -148 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((1 + -3 + 4 - (37 + -22)) + 114)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -102*p**2 - 34252*p + 34252. Calculate r(1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i - 7. Let y be k(5). Let c(h) = 2*h + y - 29 - 8*h - h**2. Give c(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/103 in -15.26, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*y + 85, -3*y + 110 = 5*w - y. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 14. Sort g, 4, 1.\nAnswer: 1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2.8 (b) 0.6 (c) 2 (d) 1 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4)*24\/20. Suppose k - 1 = r. Solve 0*q - 4 = r*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**2 + j - 12. Let g(d) = d**3 + d**2 + d. Let l(i) = b(i) + g(i). Let f be l(6). Let o be 1 + -1 - (3 - f). Put -5, o, -1 in ascending order.\nAnswer: -5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 8 = -i. Let v(u) = 3*u**2 - u + 2. Let r(o) = -4*o**2 + 2*o - 3. Let t(m) = i*r(m) + 3*v(m). Calculate the remainder when t(5) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:58 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 15*n + 235. Let d be f(9). Suppose -d*j - 180 = -29*j. What is the least common multiple of 76 and j?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + (33 - 1). Let y = c + -24. Calculate the highest common factor of y and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -24 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 58*s**2 + 77*s**2 - 17*s**2 + 1 + s to p*s + m*s**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -912081*r - 271. Let s be b(9). What is s rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 * 2.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97339 or 97303?\nAnswer: 97303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004141231 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/63 + (-20)\/(-33). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1337 divide 366338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5\/3 - 28*j**4\/3 + 4*j**3 + 92*j**2\/3 - 128*j\/3 + 16.\nAnswer: 4*(j - 6)*(j - 1)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1926*a + 44830 - 6479 = -9799 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nne when three letters picked without replacement from {e: 12, n: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 4*n - 28, 2*v + 5*n = 0. Suppose v*h - 3*j + 2*j - 23 = 0, 0 = 4*j + 12. Differentiate 3*t**3 - h*t**3 - 1 - 1 + 2*t**3 wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 5309590580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2 - 58*w + 357 = 0. What is w?\nAnswer: 7, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from nhndfd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j + 5*j)*(-3 + 3 - 1) - j - 2*j + 5*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*o + 5 + 1, 5*o - 28 = 4*y. Solve -5*a + 12 = -q, 10*a + 5*q = 7*a - o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -25.241, -2\/1689, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24803*h + 25504*h + 7711 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + y. Let k(f) = -6*f**2 - 8*f - 15. Let t(a) = -k(a) + 5*m(a). Let h = -59 - -47. Let q be t(h). Solve -2*s - 3 = q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1795, 1798, 1801, 1804, 1807, 1810?\n\"Answer: 3*c + 1792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1\/6)*h)*h)\/(h\/h**15*h))\/((h**(-4)*h)\/((h\/(h*(h*h*h**(-2\/39))\/h))\/h*h)) assuming h is positive.\nAnswer: h**(1187\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.22 take away -4?\nAnswer: 527.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -51 (b) 5\/1531 (c) 9 (d) 0.4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2016 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14835\/989 + 1304\/(-108) + -3.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162905268?\nAnswer: 2, 3, 79, 239, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.195 and -0.1.\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 45\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6481\/5 - -1294. Which is the nearest to -2\/3? (a) -4 (b) 2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-20)*1*20\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 3. Let b be c(3). Let j = -1 - b. Let u be 10*1\/2 - j. Solve 0 = -u*k + 4 - 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 1999364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/19 in 2, -4, 1, -0.831, 4?\nAnswer: -0.831","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/120 - h**5\/60 - h**4\/24 + h**3\/6 + h**2 + 2*h. Let y(m) be the first derivative of n(m). What is y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 76 = 5*a - 4*a, -4*a + 2*j + 276 = 0. 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 value of (-137)\/1370 + 20460\/400*10\/15?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 86?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 8, -3\/2, 1, 2\/13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/1591, -1\/2, -4, -14, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) 0.0121 (d) 3\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -25*k**2 + 46. Let j(l) = -l + 12. What is f(p) - 3*j(p)?\nAnswer: -25*p**2 + 3*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3172? (a) -1\/3 (b) -5 (c) 11\/6 (d) -0.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -1\/2, 3\/8, -5\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(208\/20 - 10) - (1 + 1). Let i = -2 + 6. Let r be i\/4 + 81\/(-82). Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 827077 - 2.6961\nAnswer: 827074.3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 + 756*i - 937. Determine t(0).\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30240 a multiple of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307*k - 672*k + k**2 - 679*k.\nAnswer: k**2 - 44*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 431403 - 285547.4\nAnswer: 145855.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 104, 4 in decreasing order.\nAnswer: 104, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135458 is divided by 67650.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -30, 1.04, -65\/53 in ascending order.\nAnswer: -30, -65\/53, 0.5, 1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + 13. Calculate the smallest common multiple of b and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 7*s**2 + 8*s - 8. Does 53 divide d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*c + 21*c + 635*c**2 + 22*c - 3 + 2.\nAnswer: 635*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*n = 2123*n + 1918*n + 309074 - 98227 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*5\/27*((-195)\/75)\/(-13)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.218 minus 17?\nAnswer: -62.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 876*r + 872.\nAnswer: 4*(r - 218)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27753849\/28 less than 991209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 179390 + 14?\nAnswer: 1793a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 4. Let f(i) be the first derivative of i**3\/3 - 17*i**2\/2 - 75*i - 52. Let j be f(21). Determine x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o - 1. Let c(l) = -l**2 - 3*l + 6. Let n = -29051 + 29057. Determine n*x(u) + c(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 a when four letters picked without replacement from {u: 3, a: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let m = -76\/3 - -25. What is the nearest to m in v, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*o + 115. Calculate the greatest common factor of o and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014311 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/(-4)) + -19 + 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*63\/714.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16*3\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*z + 10*z + 10, 6 = -5*z + 2*f. Let q be ((-69)\/3)\/(2\/26). Calculate the smallest common multiple of (z\/(-5))\/(q\/60 + 5) and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932849 is divided by 450?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5739 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 31*k**2 + 9*k - 249. What is i(31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 15\/7, 11\/4, 1 in descending order.\nAnswer: 11\/4, 15\/7, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -74a7071 (base 11) in base 4?\nAnswer: -302112320220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -746 + 757. Suppose -5*u + 5*b - 10 = 0, -3*u + 9*b + 4 = n*b. Solve 5*w + 20 + u = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - h. Let u be n(-1). Suppose 2 + 13 = u*j. Suppose k = j*r + 24, 3 + 1 = -r. Calculate the least common multiple of k and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-444)\/(-2331))\/(8\/(-84))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41686307.\nAnswer: 13, 43, 74573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 2*u + 0*u)*(2*u**4 - 3*u**2 + 3*u**2) + (6*u**3 - 4*u**3 - u**3)*(-3*u**2 + u**2 + u**2).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.001, 50, -2\/19, 6\/1303, 0.1 in decreasing order.\nAnswer: 50, 0.1, 6\/1303, 0.001, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4 - (-2)\/4. Let l(h) = h**3 + h**2 - 1. Let t(c) = -6*c**3 - 2*c + 4. Let a(z) = -4*l(z) - t(z). Let f be a(2). Put f, 5, n in ascending order.\nAnswer: n, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q, -2*c - 5*q = -0*q - 187. Let s = -66 + c. Let b be ((-300)\/(-24))\/(2\/s). Calculate the greatest common factor of b and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**9\/3024 - d**7\/360 + d**4\/3 - 5*d. Let r(z) be the third derivative of f(z). What is the third derivative of r(t) wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 176, 258, 356, 476, 624?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -403, -1404, -3367, -6616, -11475?\nAnswer: -18268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/23551?\nAnswer: 3\/23551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4286455 - 13*h - 4286455.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 790481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u*u**1*u))*u)**12)**0*(u*u\/((u*u\/((u**(-2\/5)*u)\/u))\/u)*(u*u\/((u*u**(1\/5))\/u))\/u)**(-36) assuming u is positive.\nAnswer: u**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 2, -36.\nAnswer: -119, -36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.72 - -0.06.\nAnswer: 1.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 124, 5, 117.\nAnswer: -1, 5, 117, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from pzzpgpvqzvz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21140, 42264, 63434, 84674, 106008, 127460, 149054?\nAnswer: 170814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9389 + 15514 = -712*r + 2831 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*f - 73*f + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -m + 10, 0 = -2*m - 12*n + 7*n + 56. Suppose 36*d = 30*d + m. What is the highest common divisor of 39 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y = 4 - 9 + 5. Let s(j) be the third derivative of 0*j + 2\/3*j**3 + y + 1\/12*j**4 + 23*j**2. Determine s(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*q = 0. Which is the second biggest value? (a) 3\/4 (b) 2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = 4*j, 2*j - 19 = -5*q - 0*j. Let f(v) = -9*v**2 + 2 + 8*v**2 - q - 4*v. Calculate f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3315866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*n - 222, -275*t + 6*n = -274*t - 14. Suppose 0 = 2*c + 8, -c - 174 = -3*y + 40. Are t and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 5*g - 53. What is s(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 48*g**2 - 252*g + 1960.\nAnswer: 4*(g - 14)*(g - 5)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(832) - sqrt(832))*2)**2 + -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26a0 + -27470?\nAnswer: -24990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176395?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - 2 - 402\/(-268). What is the smallest value in i, -16, -9\/2, -0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 - 14 = -2*k, 2*k = 4*n + 6. Is k <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3320 (base 4) to base 5\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*d)*(5*d**4 + 4*d**4 - 4*d**4)*(1 + 3 - 2) + (d**2 - 3*d**4 - d**2)*(-d - 1 + 1).\nAnswer: 23*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.97 - 0.03. Let z be 14\/10 + (-8)\/20. Sort g, 0.1, z in descending order.\nAnswer: z, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-10*s + 4*s - 3*s) in the form f + u*s and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*g**2*p*r**2*w + g**2*p*r*w + 3*g**2*p + g**2*r + 3*g**2*w + 6*g*p*r**2*w - 2*g*r*w + r**2 wrt r?\nAnswer: 32*g**2*p*w + 12*g*p*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/25)\/(j**(-22)*j))**46)**(-1\/47) assuming j is positive.\nAnswer: j**(-24104\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130300323 - -11?\nAnswer: -130300312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 85*z**3 + z**2 + 46*z - 133. Is t(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.006 smaller than 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 21707, -1\/2, -0.0547 in descending order.\nAnswer: 21707, -0.0547, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/12 - 970*l. Let p(c) = 433*c + 1. Calculate x(p(j)).\nAnswer: 187489*j**2 + 866*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -4194 + 3727.4. Let g = u - -466. What is the nearest to 1\/4 in 2\/5, -0.06, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 + q**3 - 3*q**4 - q**3 + 291*q**2 - 1 in the form y*q**2 + d*q + o*q**4 + t*q**3 + k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2914502?\nAnswer: 2, 1457251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 = -8*y + 9. What is the highest common factor of 350 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 220 = 4*p + 63, -4*o - 12 = 0. Let x = 431 - 791. Calculate the remainder when 1\/(((-7175)\/x)\/(-5) + 4) is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -11 + 8. Let i = -3 + 2. Let v be ((-1)\/i + -2)\/(-1). Do v and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 = -3*h + 3*f, 0 = -2*h - 4*f - 18. Let d = h + 12. Solve 0 = 4*t + l - 12, 3*l = -t - 1 - d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448531.\nAnswer: 448531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 5*x - 6. Suppose 3*w + 2*g = -20, -5*g - 39 + 3 = 4*w. Give t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2006*i - 2007*i = -24, -3*s + 2*i - 46 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -204*q + 199*q - 3, -131 = 3*m + 6*m - q for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46177443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 11*r + 2. Let x be a(11). Solve v = -x*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 8*g + 52. Let b(h) = 0*h + 13 - 38*h**2 + 34*h**2 - g*h. Let r(p) = -p**2 - 3*p + 3. Calculate -6*b(d) + 26*r(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*sqrt(1300))*5)**2.\nAnswer: 2000*sqrt(13) + 130100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -1.54?\nAnswer: 16.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928\/1624*14\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7631 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(1\/3)*i)*i*i*i*i**(2\/11)*i*(i\/(i\/(i*(i*i**(1\/3))\/i)))\/i*i*i**(1\/4) assuming i is positive.\nAnswer: i**(195\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - 6. Let p(d) = 6*d + 7. Let k(f) = -7*j(f) - 6*p(f). Let w(c) = 695*c**2 - 373*c**2 - 359*c**2. Determine k(w(m)).\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**4\/6 - 5*q**3\/6 - 444*q**2. Let b(x) = -9*x - 11. Let w be ((-39)\/(-6))\/(1\/2). What is w*t(j) - 6*b(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -70. Let t = l - 26. What is the third biggest value in t, 2, 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -1\/5 (b) -5 (c) 0.5 (d) 2.363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 1229, 7, 2 in ascending order.\nAnswer: -131, 2, 7, 1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 32.004. Let m = c + 38.996. Let v = m + -39.00488. What is v rounded to 4 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 17. Let t = 35 + l. Suppose 34*k - 25*k = t. Let q(w) = w**3 - 4*w**2 - 3*w - 1. Calculate q(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.0684349?\nAnswer: 0.00684349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**2 + 44*z + 2602. Suppose 3*d + 95 = -2*d. What is the lowest common multiple of k(d) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*r = -3599996, 0*p - 5*r - 8999995 = 5*p. Round p to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 2*c, 4*n = -3*c - 7 + 20. Let b = 6 - n. Solve -b*m = 3*w + 18, -w - 3*m = -6*w - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 13) to base 12\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-3)\/w*w*w)\/w)**(1\/12)\/(w**(1\/4)*w**(-9\/4)\/w) assuming w is positive.\nAnswer: w**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15460067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489208 - 31042 = 25*c. Round c to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/10*(-12)\/(-9))\/((-504)\/(-3780)). Let p(l) = 4*l**2 + 25*l - 11. Calculate p(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 2*p)*(3 + 1 + 11 - 2).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*r - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + (sqrt(272) - (sqrt(272) - sqrt(272)*-2*-3))**2 + 5*(sqrt(272) + -2) + 1.\nAnswer: 24*sqrt(17) + 9783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1141685 or -1141678?\nAnswer: -1141678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 18. Suppose -2*z = -0*z - 2*u + v, 4*u = z. Let n be 7\/((-21)\/(-1000000))*z. Round n to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:15 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*k + 0*k - 11*k + (-4 + 3 + 2)*(-2*k + 3*k - 3*k) + (-5 + 3 + 0)*(-937 + 937 + 33*k) to u*k + x and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -283*a + 1134. Let p be f(4). Let x(y) = 2*y + 17. Let i(k) = -k - 18. Give p*x(t) + 3*i(t).\nAnswer: t - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33108 + 4?\nAnswer: -33104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 11*z + 24. Let d(p) = 9*p - 60. Let l be d(7). Let m be u(l). Let n be m\/96 - 198\/(-16). What is the highest common divisor of 132 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.574 - 0.002.\nAnswer: -1.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - (-1324)\/12*3?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 7*r**2 + 5*r + 9. Let c be m(-4). Solve 3*y + 2*n - 20 = 0, 3*y - c*n + 40 = 8*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 472.8 + -537. Let f = -64 - y. Which is the fourth smallest value? (a) f (b) -4 (c) 2 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - -12) + (-2 - -2) + (26689 - 26786)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475\/(-25) + (-29)\/(812\/147)*8\/(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 212*i - 27*i**2 - 212*i + (2*i - 2 + 2)*(-8 + 8 - 14*i) - 3*i**2 - i**2 + i**2 - 1 - i**2 + 1 as s*i**2 + k + l*i and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 49, 77, 105, 127, 137, 129, 97?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t - 1\/3*t**2 - 2\/9*t**3 + 2\/15*t**5 + 1\/6*t**4 - 4. Find b such that g(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 41*t + 6 - 6 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*1)**2*-2 + 1 + sqrt(475)*2 + sqrt(475) + -2 + 0)*1.\nAnswer: -951 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17423 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 945*z**4 - 2*z**3 + z**2 + 209*z + 3 wrt z?\nAnswer: 11340*z**2 - 12*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14278959*n. Let u(i) = -4*i**2. Give u(j(o)).\nAnswer: -815554680494724*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -167025+561.77\nAnswer: -166463.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10088 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = p, -1264*y = 2*p - 1259*y - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*i + 881, -5*i = 3*q - 502 - 389. Let x = i - -208. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7968\/216 + -36 + (-1326)\/(-27) - 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-12) + (-1)\/3. Let n(b) = -b**2 - 8*b - 5. Let v be n(-7). Suppose y - v*y = -2. Solve -p - y + 1 = s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146\/10 + 6\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287 + -102. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 20*m + 50. What is d(13)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 190*j*t**3 + 144*j + t**4 wrt t.\nAnswer: 570*j*t**2 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.3. Let l = -18 + 31. Let w = l - 8. Which is the third biggest value? (a) w (b) d (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.6, 2.9, 26, -1\/5 in decreasing order.\nAnswer: 26, 2.9, 0.6, 0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333 + -2 - (-2 - -4 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 - 845 = 3*q. Calculate the remainder when 72 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -8)*20\/20. Suppose 2*x - 4 = 4*x. Sort o, -4, x.\nAnswer: -4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13498*r**2. Let o(f) = 4*f**2 + 5*f. Calculate o(h(q)).\nAnswer: 728784016*q**4 + 67490*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + -95. Suppose -3*n = -2*o - 2, -4*n = 3*o - 4*o - 6. Let l be (0\/1)\/(o + -4). Solve l*d = -z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from lcllfklwwwl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -b - 2*s, 60*s + 65*s = -3*b - 271 - 729 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y - 5 + 61 + 69*y. What is the hundreds digit of q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -21*d**5\/2 + 22*d**4 - 25*d**3\/2 + d**2 = 0?\nAnswer: 0, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 24 = -8*d. Let w = 3\/2 - 19\/6. Which is the second biggest value? (a) d (b) 1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20330 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: Collect the terms in -8310 + 8310 - u + u + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248180437.\nAnswer: 173, 193, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.595 to 1 decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 - -4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -214*r + 213*r. Calculate the remainder when 93 is divided by r + 0 + 7 + 32 + 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5919*k**4 + 5*k**2 - 2*k - 91?\nAnswer: -142056*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*n - 13. Let r be (-2)\/n + 20\/15. Do -1\/14 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a + 11 - 21 + 10 in the form w + v*a and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 11*s**2 - 11*s - 6. Let j be n(-10). Let q(v) be the third derivative of 2*v**2 + 0*v - 1\/60*v**5 - 5\/24*v**j + 2\/3*v**3 + 0. Give q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 10*l**2 - 10*l**2 - l.\nAnswer: l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(((c*c*c*c**20*c)\/c*c*c)\/c)))\/c**(-2\/49))**(-46))**(-1\/7) assuming c is positive.\nAnswer: c**(54188\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:21 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1330 and 60?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 254 divided by 4\nAnswer: 127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492593350.\nAnswer: 2, 5, 9851867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 6*x**2 + 4*x - 1. What is v(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -275137541.9 rounded to the nearest ten thousand?\nAnswer: -275140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5 - 40035*l**4 - 200094*l**3 + 80112*l**2 + 960480*l = 0?\nAnswer: -13340, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let d(n) be the second derivative of -n**4\/2 - 2*n. Give k(d(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 = -3*m + 2*j, -24*m - 1505 = -29*m + 5*j. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6*(-4)\/20 - -1)*-35. List the prime factors of (-2)\/l + (35365\/77 - -10).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -100, -225, -400, -625, -900, -1225?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 - -4. What is the second biggest value in i, -2, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23451.381 months?\nAnswer: 19.5428175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 3) + (-5)\/(-2 + 7). Suppose -8 = f*o, -28 - 84 = 5*y + o. Which is greater: y or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/2292016 and 67\/87096608.\nAnswer: 87096608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, 12*r + 2*x + 12 = 13*r. Solve b + r*b - 5*i = -25, -25 = 5*b - 3*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 4. Let x be (-4)\/6 + ((-1280)\/24)\/(-5). Suppose j - x = -2*f - f, -4*f + 2*j = -10. Calculate n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, u: 3, e: 8}. Give prob of picking 1 u and 1 s.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 15768*i**3 + 15772*i**2.\nAnswer: -4*i**2*(i - 1)*(i + 3943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 64494803*k - 1. Let y(h) = h. Give y(l(q)).\nAnswer: 64494803*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:38 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*s - 24, 566*i = 567*i + 5*s - 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 - c**2 + 8*c - 47. Give l(5).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -13.\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o + 0*o)*(-109 + 23 + 174)*(-2 - 1 + 6).\nAnswer: 792*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57721690*c**4 - 13*c**2 - 15206*c - 22?\nAnswer: 1385320560*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -107*b**2. Let r(f) = 4*f. What is v(r(n))?\nAnswer: -1712*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 1291 + 1192. Is a greater than or equal to 148\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 29, 61, 109, 179, 277, 409?\n\"Answer: i**3 - i**2 + 18*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -446, -455, -478, -521, -590, -691, -830?\n\"Answer: -a**3 - a**2 + a - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -57 + (3 - -5) + (-11 - 1) + 13 - -3\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-3*f + f + f)*(2 + 4 - 3).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -888, -1289, -1690, -2091?\nAnswer: -2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.9 - 5.78. Let p = -25.94 + 26. Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115.63 - 0.37. Let z = m + 115.8. What is the second biggest value in z, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21532, -21463, -21394, -21325, -21256, -21187?\n\"Answer: 69*b - 21601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*n**2 - 2436*c*n - 4478*n**2 - n wrt c.\nAnswer: 5*n**2 - 2436*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 11232.\nAnswer: -85\/11232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 261144 divided by -78\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -29. Let v = b - -3. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 5 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.3 (b) 4 (c) -2\/23 (d) -85\/74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -42 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -333798\/7?\nAnswer: -333798\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 6*h - 48. Let d be u(-10). Are -122\/17 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1347 and -1347 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 + 1636*g**4 + 78547*g**3 + 1248324*g**2 + 6532092*g = 0.\nAnswer: -1587, -21, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 265, 1032, 2325, 4156, 6537?\n\"Answer: 2*s**3 + 251*s**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651366270?\nAnswer: 2, 3, 5, 1283, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, 116, 1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhd when four letters picked without replacement from hhhhdhhd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 185323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 710592352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 324121, 324425, 325279, 326959, 329741, 333901?\nAnswer: 339715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2. Let f(p) be the third derivative of -p**5\/60 - 7*p**2. Give f(t(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2.5 (b) -2\/35 (c) 0.1265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 21 - 3*q + 5*q)*(2*q + 2 - 2)*(2 + 3 - 2).\nAnswer: 12*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i*k + 5*i*q + 91*k*q wrt i?\nAnswer: -4*k + 5*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -l + 5, -4*x = 2*l - 0*x - 24. Suppose -2*m - 4*u = u + l, 3*m - 7 = -2*u. Let q(t) = -t**3 + 7*t**2 - 6*t + 6. Give q(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0) + (2 - 1). What is the highest common factor of 18 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1766\/7 + -252. Which is the second biggest value? (a) x (b) -0.0516 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q*q\/(q\/(q*(q\/q**(3\/5)*q)\/q)))\/(q**(-1)*(q*q\/(q**0*q))\/q*q))\/((q**(-1\/2))**(-3))**(-19) assuming q is positive.\nAnswer: q**(319\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*f + 4*y - 31, -4*y = 5*f - 40. Let a = f - 1. Solve 2*k - x = -3*k - 3, x - a = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 401.07 - 405. Let w = -0.07 + o. Which is the closest to 2\/5? (a) 5 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 20 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4 + 49036*h**3 + 147115*h**2 + 98078*h = 0.\nAnswer: -2, -1, 0, 49039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = 2*h, 0 = 2*h + 4*f - 5 + 15. Solve 0 = -4*r + h*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30718, -61422, -92134, -122854?\nAnswer: -153582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943*u = 930*u - k - 843, -u + k - 67 = 0 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 440 = -0*d. Find the second derivative of -4*r**4 - 64*r**2 - 101*r - 22*r + d*r**2 wrt r.\nAnswer: -48*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-2)*u)**(-12))**(5\/7)\/((u*u*u**(1\/8)\/u*u\/(u**(3\/2)\/u))\/((u\/(u\/u**(-2\/9)))\/u**(1\/4))) assuming u is positive.\nAnswer: u**(-5377\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 14*t**2 + 3*t + 0*t.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let x = 10.93 - 11. Let l = 0.47 + x. Which is the third biggest value? (a) 3\/7 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/3 + 2*n. Let o(c) = 20*c. Give g(o(q)).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/738 and 14\/9.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1650*d + 1140. Let q(u) = 333*u - 228. Let j(f) = -21*q(f) - 4*z(f). What is the derivative of j(m) wrt m?\nAnswer: -393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14495*x + 275436. Give d(-19).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4060793 to the nearest integer?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 5*k**3 + 0*k**3 + (-100*k + 100*k + 18*k**2)*(-k - k + 3*k)*(2 - 1 + 0) - 7*k**3 - 2*k**2 + 422*k - 422*k.\nAnswer: 12*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 165. Let j be o(-41). Let z = j + 355. What is the remainder when z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82105220?\nAnswer: 2, 5, 37, 181, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4*s**2 - 30*m**3*s**2 + m**3 + 2*m**2*s**2 + m**2 - 3*m + 29*s**2 wrt m.\nAnswer: -48*m*s**2 - 180*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16581.991 - 16564. Let y = g + -18. Round y to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18945 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 0*r + 5*r)*(-2423*r + 364*r + 350*r)*(0 + 2 - 4) as w*r + b + d*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 9*f**2 - 4*f + 4. Let y be d(4). Factor -5*v**3 - y*v**2 - 4*v**4 + 3*v**3 + 0*v**4 + 10*v**3.\nAnswer: -4*v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lytzytfztz. What is prob of picking 3 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43073560?\nAnswer: 2, 5, 971, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1164 and 5244?\nAnswer: 508668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2472*o + 18. Calculate the remainder when 1810 is divided by y(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(76) + sqrt(76)*1))\/(sqrt(8)\/sqrt(18)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4057749922 to the power of 1\/2, to the nearest integer?\nAnswer: 63700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.9 + -20. Let g = y - -0.1. Let f(b) = 3*b - 18. Let x be f(7). Is x at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 199 + 66. Let p = -24 + c. Let b(g) = 5*g - 5. Calculate the remainder when p is divided by b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 10*t**2 + 2*t. Let h be u(10). What are the prime factors of (-1162)\/(-10) - (4\/h - 0)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7*v = -8. Let d(y) = -3*y + 5. What is the remainder when 65 is divided by d(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -27*m**2\/2 + 3*m - 2698. Let r(l) = 80*l - 8. Determine -8*o(u) - 3*r(u).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2+243938308\nAnswer: 243938306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 219208 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l + 16*l - 8216 = -341*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271.94 - -272. Let l = -0.4 + 0.04. Let g = m + l. What is the closest to -2\/7 in g, -5, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 6. Let y be l(4). Let h = y + 3. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 76*m**2 - 18*m + 1414. Give n(76).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -1193 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15 = -4*j, 2*k + 9 = -j + 6*j. Suppose 0 = a - j*a + 4840. Suppose c - 49604 = i, -2*c - 2*i - a = -101612. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 4. Let c be -4 - (-15)\/(12\/4). Let n(k) = k. What is c*l(g) - 3*n(g)?\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4 + 25*f - 23*f - f**3 + 0 + 11*f**2. What is the remainder when j(11) is divided by (-6)\/4*(-40)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1628\/(-165) + 10 - (-133)\/15. Solve -2*s - u = -3*a + 2*a, 3*a = 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -2*t**5\/15 + 7*t**2\/2 - 37*t. Let s(w) be the first derivative of n(w). Let d(p) = -2*p. Give d(s(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3044 + 30442?\nAnswer: 34041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -143. Determine z, given that -3298 - 6*z**t + 3298 - 3*z**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1328 + 2930.2. Round i to the nearest 10.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.3. Let b = -65.1 - -69.1. What is the closest to -2\/11 in 5, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(220)\/sqrt(4))\/(3*sqrt(5)*4).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -101*o**5\/20 + o**4\/12 + o**3\/6 + 3*o. What are the prime factors of y(-1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 788, 1171, 1554, 1937, 2320, 2703?\n\"Answer: 383*i + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -285 + 128. Let j = 222 + v. Suppose s - 4*m + 9*m - j = 0, -3*s + 245 = 5*m. What is the greatest common factor of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28638 and -4.\nAnswer: -28642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 25 + (-8 - -3) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*i - 17, 3*i = -z - 1 - 0. Solve 0 = -k + i - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2 + 45*f - 823 + 0*f**2 + 523 wrt f.\nAnswer: -4*f + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/16 - 1837\/(-88). Let s(g) = -4*g - 5. Let t be s(4). Let j be (-81)\/o - (-3)\/t. Let y(a) = a**3 + 5*a**2 + 4*a + 1. Determine y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2823*k - 12446 + 10274 - 43958 = -962 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/48)\/(2\/12). Suppose j + 637 = -r*i, i = 4*j - 37 - 82. What is i rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 10:36 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -49*(-93)\/(-7812)*(3 - 24)?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -43 times 495\nAnswer: -21285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 8*p - p + (-3 + 4 + 1)*(-3*p - p + 2*p) - 5*p + 3*p - 3*p)*(-3*p - 2*p + 0*p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 5*(sqrt(7) - (sqrt(112) + 0)**2)).\nAnswer: -5*sqrt(7) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5174245, 10348488, 15522731, 20696974?\n\"Answer: 5174243*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -1\/3, -0.03, 0.13?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8849312 and 42968?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**2 - 59*w + 101. Give b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**3 + 11*y**2 + 11*y + 14. Let u(f) = 2*f**3 - 2*f**2 - 2*f - 3. Give 2*d(z) + 11*u(z).\nAnswer: 2*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q - 3*y - 139 + 184, -45 = 4*q - 3*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -293801 - 745?\nAnswer: -294546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2846 - -10130. List the prime factors of g.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 567 - 241 - 2*k**3.\nAnswer: -2*k**3 + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (11844\/(-5922))\/(5\/(-5)*-34)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -40, -74, -122, -190?\n\"Answer: -k**3 + 2*k**2 - 25*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -1\/4 (b) 1 (c) 3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -867, -1, 6 in descending order.\nAnswer: 6, -1, -867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -30, -83, -160?\n\"Answer: -12*w**2 + 7*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/9 - 5128*x**4\/3 - 127912*x**3\/3 - 2960644*x**2\/9 - 3021218*x\/3 - 1073380 = 0. Calculate x.\nAnswer: -7667, -14, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 495107*i**3 + i**2 + 8*i - 7. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.3 + -0.7. Let j = 4 + l. Let o = 2 - 1.9. What is the third biggest value in -1\/4, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.45 + -20.55. Let u = 84 + d. Let i = u - 63.0051. Round i to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*u**3 + 18*u**2 - 2 - 18*u**2.\nAnswer: -258*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 - (3 - 35796\/14070). Let m = 2\/67 - h. What is the third biggest value in -0.08, m, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1686 from -4.\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98859848429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 18. Let d = w - 6. Let g = -1\/67 + 203\/134. Sort d, g, 1\/4 in decreasing order.\nAnswer: g, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 - 2*y**2 + 1. Let n be u(-1). Let b = n + 9. Solve 2*l + 2*l = -b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 34 = -10*z. Suppose z*l - 5*d = 83, 64 - 16 = l + 4*d. Calculate the greatest common factor of 572 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 17318\nAnswer: 17317.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. What is the third biggest value in -2\/3, m, -1\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 12*v**2 + 62*v + 214. Calculate the remainder when x(-16) is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(1*34)\/((-48)\/564)?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a + 4. Let x(l) = 2*l**3 - 3*l + 5. Give 3*b(j) - 2*x(j).\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -29*i - i**2 + 13 + 36*i + 5. Let k be z(9). Suppose -26*q + 29*q - 63 = k. What is the greatest common divisor of 105 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201\/2 + 100. Suppose 4*y + 648 = 12*y. Let k = 89 - y. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o + 2*o - 3*o)*(34 + 137 - 45)*(4*o - 2*o**3 + 0*o - 2*o) to q*o**3 + c + l*o**2 + t*o + d*o**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140.2 and 233?\nAnswer: -32666.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 2*u**2 - 2*u. Let b(p) be the first derivative of -11 + 0*p - 1\/3*p**3 + 0*p**2. Give -b(c) + h(c).\nAnswer: -2*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 37 = -4*y, -3*m - 5*y + 30 = -10*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4522*a - 99473. Calculate r(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 335 (base 6) to base 8\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 28. Suppose 0*v - 112 = -k*v. Suppose -v*r + 33*r - 15 = 0. Solve -q + 29 = 4*q + 2*p, -q + 4*p - r = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 - 9*l**2 - 16*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.45 - -0.05. Let j = -1.6 + n. Suppose -23 + 11 = 3*v. Which is the second smallest value? (a) -2\/3 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 84. Let l be y(40). Solve o + 3*o - l = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 239*t*z**2 + 590*t - 3*z**2 + 2 wrt z?\nAnswer: 478*t*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 797 - 456. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x. Let l be u(2). Suppose i + 0*i + 2*t = 9, -t - 23 = -l*i. Suppose -7*p + 176 = -3*p. Calculate the greatest common divisor of i and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 4.9. Let j = -0.1 + -0.9. Let z = j - d. Which is greater: -2\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 292 - 69 = 5*c - 92, 0 = -5*x. Calculate the remainder when 427 is divided by c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445930 by 89186.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4))\/z**2)**4*z**0\/z**2*(z\/(z*z**(-2)))\/z**4 assuming z is positive.\nAnswer: z**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*a**2*q**2 - a**2*q + 43*a**2 - 154*a*q**2 + 14*a*q + 107*q**4 + 2*q + 96 wrt q?\nAnswer: 174*a**2 - 308*a + 1284*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 - (-7 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12456, 12455, 12454, 12453, 12452?\nAnswer: 12451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 494400 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6083 + 6102. Solve -q*y + 14*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -474, -947, -1420, -1893, -2366?\nAnswer: -2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b + 26. Let a be t(8). Let r = a - -49. What is the second derivative of 10*k**r + 52*k - 32*k - 30*k wrt k?\nAnswer: 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(288) - (sqrt(288)*-1)**2) + ((2*-2*sqrt(288) - sqrt(288)) + sqrt(288))**2 - (-3 + -6*(sqrt(128) + -1 + sqrt(128) + sqrt(128))**2)) + 2.\nAnswer: -252*sqrt(2) + 10667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 270914.\nAnswer: 270910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183803 > 76\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-396)\/14)\/3)\/(((-2013)\/13420)\/((-21)\/30))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54 (b) -19.5 (c) 2 (d) 0 (e) 8 (f) 1 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 7:25 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g + 3*c - 66, 5*c = -4*g + 134. Let i = -32 + g. Is ((171\/6 - -1) + 0)*i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5337*t**2 + 0 + 5339*t**2 + 12*t - 7. Let n be x(-7). Let a(d) = 4*d**2 - 3*d + 1. Let b(f) = 9*f**2 - 6*f + 3. What is n*a(c) - 3*b(c)?\nAnswer: c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10496*b**2 + 5*b + 10508*b**2 - 2*b. Let w(u) = 0*u**2 - 6*u**2 + 9*u**2 - u**2. Calculate z(w(o)).\nAnswer: 48*o**4 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 15) to base 3.\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4\/3, -1\/5, -5\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -191*q - 49. Let t be u(6). Let c = 2307\/2 + t. Find the common denominator of c and -79\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -776 + 1352. Let x be y\/40 + (-4)\/10. Suppose -3*v + 8 - x = 0. Is v <= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/15 and ((-1363)\/(-174))\/(3\/(-1)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(6\/4).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r)**(-45)\/(r**(2\/13)\/(r\/r**5)) assuming r is positive.\nAnswer: r**(531\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 + 3*v**2 - 20*v + 23. Calculate the remainder when d(5) is divided by 159.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 2, -6\/47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18755\/7 + -2679. Let l = 12.28 + -12. What is the nearest to l in a, -2, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1480 divided by -40?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47622*u**3 - 27*u**2 + 3*u + 190082884?\nAnswer: 142866*u**2 - 54*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -127*f + 125*f + 12, -3*f + 1 = 4*u. Let x(l) be the second derivative of 24*l - 1\/2*l**f + 0 + 0*l**2. Let v(p) = 3*p. Determine x(v(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155536?\nAnswer: 2, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8211\/306)\/23*-24.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*t + 31, -2*u + 6*u + 2*t - 34 = 0. Let a(k) be the first derivative of -k**2\/2 + 5*k - 5326. Calculate a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2 + 7*t - 11. What is o(6)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 552 - -66?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2*o. Let p be b(-3). Find the first derivative of -2*f**p + 1 + f**4 - 2 + 2*f**3 wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -356 + 3720?\nAnswer: 3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -447319, -447326, -447337, -447352, -447371?\n\"Answer: -2*b**2 - b - 447316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 1083867 + 590146. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)*((-3)\/3 + 8). Suppose -5*v = -m - 176, v - 2*m - 30 = -q*m. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vvvdvvdd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*-4*2\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnuu when four letters picked without replacement from nsnunusnunnuu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10808, -20318, -29828, -39338?\n\"Answer: -9510*l - 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 536\/18 + (-10)\/(-45). Solve -2*h - 26 = 4*y, h + q = -5*y - h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d**3 + 14*d - 14*d + (d + 4 - 4)*(2 - 2*d**2 - 2) + d**3 - d**3 - 2*d**3 as s*d**3 + j + n*d**2 + v*d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 - -141. Let k be 3 - 39*(-3)\/(-45). Sort 2, u, -5, k in increasing order.\nAnswer: u, -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-3) - 4\/6. Suppose w = -k*w. Suppose -2*m = -w*m - 8. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22200000 + -20011?\nAnswer: -22220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)\/(3 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 105, 161, 269, 447, 713, 1085, 1581?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -39.5. Which is the closest to 0? (a) -3\/5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3b26 (base 13) in base 8?\nAnswer: -1255756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 19*d - 14. Give f(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/51 (b) 5 (c) -2\/15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40401261 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c - 45 = 0. Suppose c*z = 4*z + 3*g + 90, -4*z + 3*g = -75. Suppose 0*v = 3*v - z. Let x(l) = -2*l**2 + 6*l + 6. Determine x(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -515 - 4?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose 5*c + 37 = p, -5*p + d*c = c - 237. Suppose -q - p = m - 2*m, -20 = 4*q. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c - 22 = 0. Suppose 5*l + 21 = c. Let m(k) = 3*k + 1. Let w(d) = -d**2 - 4*d - 2. Let q(z) = l*w(z) - 3*m(z). Determine q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(15)\/sqrt(3) - sqrt(25)\/(sqrt(25)\/sqrt(5))) + (4*(sqrt(320) + 4*sqrt(320)*1 + sqrt(320)))**2.\nAnswer: 184315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.1182?\nAnswer: -0.1182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -32, 0.2, 3\/2, 1.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 16*b**2 + 14*b - 56. Let o(k) = 3*k**2 - k + 1. Let d(j) = f(j) - o(j). Calculate the remainder when d(-20) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 173 = -j + m - 170, 4*m - 33 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -661*c + 4. Let s(h) = -7258*h + 45. Calculate -23*j(a) + 2*s(a).\nAnswer: 687*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10507 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g**3*q - g**3 + 1671238*q**2 - 4466353 wrt q?\nAnswer: 10*g**3 + 3342476*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 52) + 7 + 47.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*o + 1663 = -1017 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8018, -32336, -72956, -129878, -203102, -292628, -398456?\nAnswer: -520586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53856, -52930, -52004, -51078?\n\"Answer: 926*p - 54782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 + 183. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 12:45 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -16 - 27) + (-12 - -2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 > 616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104264473 and 6128.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - j - 5. Let y be p(5). Let q be (-28)\/6*105\/(-10). Let u = y + q. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74826830 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 45*g - 915 = 0. Let s be (-36)\/12 - g\/(-4). Let i = -49 - s. Is i greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/51309360 and 47\/21?\nAnswer: 359165520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 74. Suppose -b + v = -11. Let l be 584\/b - ((-6)\/4)\/(-3). Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807578 is divided by 542.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 65, -43, -577?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 3*c**4\/4 + 10*c**3\/3 + 37*c**2\/2 + 11*c - 89. Is i(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622483 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/6 - 2*i**2 - i. List the prime factors of u(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -3, 33, 0, -1, 2, 59 in increasing order.\nAnswer: -3, -1, 0, 2, 28, 33, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 4. Let d(w) be the third derivative of -w**5\/60 - w**4\/12 + w**3\/2 - 10*w**2. Determine d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290160620 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340b (base 12) to base 14.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 613 = -12*a + 210 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(-4)\/b)*b\/b**(-23))**(-1\/69))**(-27))**48 assuming b is positive.\nAnswer: b**(12528\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1711983c?\nAnswer: 1711983a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -52*i + 231 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:37 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 50. Let v be 5\/t + (-44)\/(-3). Solve 2*l + 25 = l + 5*j, -v = l - 3*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -1.02. Let z = q + -0.02. Let r be -3 - -5 - 32\/15. Put z, r, 0.3 in decreasing order.\nAnswer: 0.3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.011 - -171.611. What is o rounded to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6)\/a)\/a*a\/a**6*(a**0)**(-2\/37))\/(a**6*a**(-1))**36 assuming a is positive.\nAnswer: a**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4 - 260*k**3 + 4988850*k**2 + 2846490460*k + 451814781355 = 0?\nAnswer: -421, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 499 = -337 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1835, 1837, 1839, 1841?\n\"Answer: 2*n + 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 11\/2, 0.5?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/j*j)**(-1\/6)\/(j\/(j**(4\/9)*j))**(-2\/93) assuming j is positive.\nAnswer: j**(-1411\/1674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36712*a + 68791 = -995857 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 136, 199, 262?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-5))\/(38\/(-10)). Let l = 204 - 203.8. What is the third biggest value in i, l, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 + w**2 + 4*w - 4. Let h be i(1). Solve -s + 5*b = -6, -h*s + 3*b = -3*s + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 0*s**3 - 2*s**2 - s**3 + 2*s**3 + 5*s**2 to t + i*s**3 + g*s + w*s**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4431660 and -121\/97860?\nAnswer: 31021620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 416572672*z**2 - 907666367*z wrt z.\nAnswer: 833145344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((8\/(-530))\/((-23)\/(-690)*-6))\/(-1))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**3 + 15*d**2 - 10*d + 54. Let l be h(14). Let i = -11327 + l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i + 6. Let d be 81\/(-12)*(-32)\/24. Suppose -i*g = -d - 27. Calculate the smallest common multiple of g and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -35 - -1) + -433 + 378?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465 is divided by 64.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.9. What is the nearest to 1 in h, -1\/3, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = t - 326, 279 - 395 = -4*t - b - b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/337 (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746208607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7 - 20 - 3 + 16*y. Let p be l(6). Suppose -t = 4, -3*w - t + p = -3*t. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6881*i**2*l**3 - 2*i**2*l**2 + 136*i**2 + 10 wrt l.\nAnswer: -20643*i**2*l**2 - 4*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001356091117 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, 62 in increasing order.\nAnswer: -25, -2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1806 and 175956?\nAnswer: 1231692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 9. Suppose -s = -0*o - o. Let x(z) = -z**2 + 6*z - 1. Let l be x(o). Calculate the highest common factor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 - 7*h + 10. Let p be q(-7). Let x = -6 + p. Suppose j - 3*j + 218 = 4*v, 3*v = -x*j + 161. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 135. Suppose -2*x - 5*k + 1 = -l*k, 11 = 5*x - k. Solve -g = x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 39*x**2 - 2*x - 10. Suppose -3 = -3*d - 9. List the prime factors of z(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) - (-3*sqrt(132) + sqrt(132))\/sqrt(12)) + (sqrt(1584) + -2 + sqrt(1584))**2 + -3.\nAnswer: -93*sqrt(11) + 6333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2748.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6192\/(-27) + (-2)\/(-6). Let f = 244 + t. Solve 4*r - f = 9*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1.5, -0.0445, -4, 7 in decreasing order.\nAnswer: 7, 6, -0.0445, -1.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 + 160*a**2 - 676*a + 111. Give n(4).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60380*a**3*h**3 - 2*a**3*n**2 - 4*a**2*h**3*n**2 - a**2*h**2*n**2 - 521*a**2 - 2*a*h**3*n**2 - 3*h**3*n**2 wrt a?\nAnswer: -362280*h**3 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 23*s**2 + 6*s + 12. Let f(w) = 850*w**2 + 221*w + 442. Let g(b) = -6*f(b) + 221*u(b). Let v(y) = -33*y - 2. Calculate g(v(h)).\nAnswer: -18513*h**2 - 2244*h - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1005, -279, 1 in increasing order.\nAnswer: -279, -5, 1, 1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -62 (b) 2\/9 (c) 0.5 (d) 204 (e) 35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - h + 4*h + 9 - 4*h to r + t*h and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-10\/3))\/b**(-31\/4) assuming b is positive.\nAnswer: b**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 7. Let z(j) = -j**2 + 10*j + 101. Give -6*o(u) + z(u).\nAnswer: -u**2 - 2*u + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730 divided by 5.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 + 0*l**2)*(117 - 48 - 39) - 3*l**2 + l**2 + 3*l**2.\nAnswer: 31*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*f - 83*f - 150. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + k + 1. Suppose 5*d = 4*w + 13, 0 = 3*w - 6*d + 4*d + 8. Let o be s(w). Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5*f - 106 = -121, b + 7 = -5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89962 + 2*f**2 - 8*f**2 + 200478*f - 200478*f - 89962.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 h when three letters picked without replacement from dhzrjzjb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 + 17 = 2*q, -24 = -3*q + 3*j. Let o(b) = 3*b**2 + 3*b + 2. Let y(z) = 4*z + 4*z**2 + 5*z + 3 - 5*z. Give q*y(u) - 5*o(u).\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 = -0*p - 3*p, 3*s = 5*p - 21. Suppose -166 = -a - p*b, b + 830 = 5*a - 0*b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*x + 16*x - 46*x)*(20 + 45 - 6) in the form n*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -546 - -547. Let y = 1290 - 68368\/53. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 + 4)) + (5 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003512604 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-125)\/75 + 26\/3)*(-90)\/147 and 29\/715.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*p + 22*p + 32*p + 109 - 85*p to q*p + k and give k.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 222277.5s?\nAnswer: 222277500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k. Let b(f) = 767552*f - 2. Give b(h(d)).\nAnswer: 7675520*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a + 48 = 4*y, 4*y - 44 = 4*a. Let j be ((-7)\/y)\/(-4*(-4)\/112). Let q(o) = 2*o + 2 + 2 + 5 + 0*o. Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*j + 288 + 684 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400994 to the power of 1\/2, to the nearest integer?\nAnswer: 2098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1593*z - 759*z + 67250 = 22562 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4426 + 7?\nAnswer: -4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*18\/(1296\/(-2))*4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11464 - 5?\nAnswer: 11456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-4563)\/(-20) - 12\/20. Let b = v + 244. What is the common denominator of b and 22\/71?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -457, -871?\n\"Answer: -414*l + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 114.1628?\nAnswer: -570.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -11*a**4\/6 - 47*a**3\/3 - 36*a**2 - 779*a. Suppose v(o) = 0. What is o?\nAnswer: -36\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72.846 - 3.764. Let l = y + 1.61. Let d = -83.2 - l. What is d rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/93 (b) -0.2 (c) -1\/75 (d) -0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:11 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/101 or 1\/210?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-1*-6*1)\/((sqrt(576)*-3 - sqrt(576)) + sqrt(576) - (sqrt(9) + (sqrt(9) - sqrt(18)\/sqrt(2))*-1 + sqrt(9))).\nAnswer: -9*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h*h**(-35))*h))\/(h\/(h*h*(h*h**(3\/7)*h)\/h)*h) assuming h is positive.\nAnswer: h**(-235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208\/5 + 41. Let c(z) = -z**2 - 31*z + 104. Let y be c(-34). What is the closest to -2 in 0.3, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 2*x. Let y(b) = 15 - 15 - b**x. Let r(i) be the first derivative of -2*i**3\/3 - 14*i + 1114. Determine r(y(v)).\nAnswer: -2*v**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from frqgqgfrffrfrfg?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/17)\/s)\/s)\/s*((s**(-6\/13)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-1233\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9938 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -4 (c) -0.6 (d) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 79*n - 13. Let r be l(26). Solve r = 2*w - 15*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 + -211. Let o be (513\/(-33))\/l - (-6)\/(-33). Solve -10 = o*w + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453 - 129.8.\nAnswer: -582.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*b**2 - 360*b**2 + 759*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7398774 (base 10) to base 15.\nAnswer: 9b2369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -72, 8, 5 in ascending order.\nAnswer: -72, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 508?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*r**2 + 561443934*j*r + r**3 + 256939883*r**2 wrt r.\nAnswer: -2*j + 6*r + 513879766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44880 divided by -6.\nAnswer: 7480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 - -212.5. Sort g, 0.59, 2 in ascending order.\nAnswer: g, 0.59, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, -92 in ascending order.\nAnswer: -92, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*a - 38, 3*m = 2*a + 233 - 103. Solve 370*t - 363*t = m for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.45 + 0.35. Which is the closest to u? (a) -1 (b) -2\/13 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/16 - 4\/8. Let t be 2 - (-2)\/(2 + -1). Which is the smallest value? (a) f (b) -2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4122211 (base 5) to base 10\nAnswer: -67181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 422 + -413. Solve -3*y = -0*y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + -10 - 6)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/2)\/((-415)\/(-830))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 6713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-12) - -2) + (7520\/(-255))\/(-16). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 4.9 (b) -3\/8 (c) 0.3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5009 divided by -1063?\nAnswer: 5009\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60*r**3 + 200*r**3 - 2*r**2 - 67*r**3 + 196 wrt r?\nAnswer: 219*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 12. Suppose -3*f + 1 = -2*c + 3*c, 3*f = 3*c - o. Sort -4, c, -3 in descending order.\nAnswer: c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6604 = -17*u + 20017. Suppose -x - 3*z - 263 = z, u = -3*x - 3*z. Which is smaller: x or -525\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 + 7*y**2 + y - 7. Let t(b) = -2*b**3 + 4*b**2 + b - 4. Determine 4*m(d) - 7*t(d).\nAnswer: -2*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*n = 126. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2627 = r - 3307. What is the remainder when r is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 2, w: 3, e: 8}. Give prob of sequence ewh.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-9)\/33*3. What is the smallest value in -5, -0.4, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/75 and -161\/8880?\nAnswer: 44400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -62. Suppose w - 3*w + 62 = 0. What is the remainder when z is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9731.4 and -0.5.\nAnswer: 4865.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*n + 162*n + 0 + 0.\nAnswer: -304*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 + 15 + -2 + 271. Calculate the greatest common divisor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -18. Suppose -m - 8 = -4*a - 5*m, 3*a - g = -4*m. Suppose 0 = a*k - 2*k - 144. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 38, -184, -620, -1342, -2422, -3932, -5944?\nAnswer: -8530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 21*b**2 + 46*b. Let a be t(-23). Let m be (a - -4)*27\/36. Let r(k) = -k. Let w(f) = 7*f - 1. What is m*r(q) + w(q)?\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6052054285?\nAnswer: 5, 23, 107, 491837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m**3 - 3*m**3 + 1 + 1 - 2*m**3 + m**2 as w + y*m**3 + z*m**2 + j*m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 2355 + 2375 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 6*o - 4. Let n be t(-1). Solve d - 5*s = 2*d + 16, -d - 3*s - 10 = n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n - 3. Let l be a(-2). Suppose 5*b = -l, 4*f + b - 6*b = 45. Solve -12 = 4*z - f*t, -1 = 5*z + t + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 + 37*y**3 + 72*y - 54*y**3 - 4*y.\nAnswer: 8*y**3 + 68*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 51\/29?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 919910*s + 42311720405.\nAnswer: 5*(s - 91991)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5318 (base 10) in base 15?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = d. Let c = -1.2 + 6.2. Let q = c + -4. Which is bigger: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2366.6188 + 2366. Round m to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4011 times 2.14\nAnswer: -8583.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 + -167. Put 1, c, -3, -8 in increasing order.\nAnswer: -8, c, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120\/77 + -14\/11. What is the smallest value in 3, m, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 155 = 5*v, 2*l - 35 = -2*v + 41. Suppose 0 = -6*d + d + l. What is the remainder when (-75)\/(-4) - (-1)\/4 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r**2 - 2*r. Let p(s) = -138 - 139 + 277 + 2*s + s. Determine d(p(k)).\nAnswer: -144*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 25*b - 2*i - 2, 2*i + 8 = 4*b. Suppose -j - 2*j = -12. Calculate the lowest common multiple of b and (2\/j)\/(2\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 - z - 7. Suppose -3*f - 18 = 3. Let v be h(f). Suppose v = 4*l - 29 + 9. What is l rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 3. Let s(q) = q**2 + 3*q - 4. Let k be s(-4). Suppose k = -6*m + m. Let j be m + 2 - (-2)\/2. Calculate d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31740 by -5.\nAnswer: -6348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031097862 rounded to seven dps?\nAnswer: -0.0000311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 40*s - 39. Let a be d(1). Let t be -2*a*27\/(-18). Solve 2*c = -2*c - 4*z + 12, 10 = 2*c + t*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m + 1. Let p = 440 + -440. Let r(h) = -7*h + h + 5*h - h + p*h. Calculate -5*r(o) - 2*w(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*l**4 - 497*l**3 - 4*l**4 - 13*l - 67*l + 17*l**3 + 6*l**4 - 396*l**2.\nAnswer: l*(l - 20)*(5*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147.35 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 4. Let h be 2\/12 + (-17)\/(-6). Let u be d(h). Suppose -2*c + 3*s + 91 = 2*c, 43 = u*c + s. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*o - 25, -5*o = -4*a - a - 15. Suppose -2*r - 93 = -o*r. Let b = r - 29. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 - 5*t + 1. Suppose -5*o - 3*j - 15 = 0, 3*o + j + 3 = 2*o. Let m(f) = 3*f**2 + 4*f - 1. Calculate o*m(a) - 2*s(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 5485*s**2 + 4551*s**2 + 5.\nAnswer: -934*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 31.45144 nanograms?\nAnswer: 0.00000000000003145144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1386 + 2107. Calculate the smallest common multiple of 1030 and b.\nAnswer: 7210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*r - 186*r = -114 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/7 or 31.9?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8713 divided by -4?\nAnswer: 8713\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 648\/23 equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 4*k**2 + 4*k - 3. Let g be l(3). Let b be (-2)\/((5 - 1) + g). Which is greater: b or -24?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -105c09 - 3?\nAnswer: -105c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/(5\/30). Suppose -c + 5 = j, 0 = -j + c + q + 3. Solve -4*f + 17 = j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = -4*m. Let j be (5 - 264\/55)*m\/(-45). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1509*n**3 - 134*n**3 + 0 + 0.\nAnswer: -1643*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 66*n + 130. Let z be d(63). Is 1281\/4 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a)**(-1\/25)*a*a**(7\/6)*a\/(a\/(a**(3\/14)*a)*a) assuming a is positive.\nAnswer: a**(81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22417*n - 27829 wrt n?\nAnswer: -22417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*j + 30, 3*b + j - 6*j = -34. Let n be (-9)\/42*4\/b. Let u = -0.0648 - 15.9352. Does u = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -328, -5, -0.11, -7.71?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k = -1689 + 443 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 204*n - 5895. Let s = 25 + -5. What is the lowest common multiple of o(35) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11597.\nAnswer: 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) 3 (c) 2\/19 (d) 1 (e) -2\/27 (f) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10488 and 67944?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 5*l + 110, -2387*z + l = -2382*z - 43 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 2, -3\/8, 5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 6 - (1 + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44248, 86327, 128406?\nAnswer: 170485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:53 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6522.167 litres in millilitres?\nAnswer: 6522167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*z - 30, -17*d - 5 = -5*z - 15*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-27)\/t*t\/(t\/(t*t*t**(3\/5)*t)))\/(t**(-26))**40 assuming t is positive.\nAnswer: t**(5078\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/18 - (-1)\/(-2). Let s = -2.05 + 0.05. Which is the third smallest value? (a) s (b) 2\/15 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-130))\/((-2)\/(-10)). What is the closest to -2.4 in m, 1, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207962447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.9, 3, -3, -0.3, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, p: 9}. What is prob of sequence pppb?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 2*j**3 - 244*j + 219*j + 146*j**4 + 1 + 0*j**2 - 148*j**4 in the form d*j**4 + m*j**3 + y*j + i + n*j**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:04 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11542.27 times -0.07?\nAnswer: 807.9589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 7 - l + 3.\nAnswer: -l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 975357405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 432170.\nAnswer: 864340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 9*l**2 + 4. Let f be (-1)\/(4 - 35\/9). Let m be s(f). Solve -v = -m*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 120. Let b(a) = -1271*a. Calculate b(n(u)).\nAnswer: -1271*u - 152520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52630632 and 996?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -77. Suppose -m*j = -70*j + 2. Let d = -20 + 33. Solve -j*s = -d + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-8) - -1) + (-42)\/(-56). Let i = 96 + a. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/14628 and -11\/552?\nAnswer: 29256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:22 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5005 - -254244?\nAnswer: 261251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5572*s**2 - 5571*s**2 + 11152*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -0.1 (c) 14\/3 (d) -0.008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143914325 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804*r + 73 - 73.\nAnswer: -804*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183147 is divided by 800.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:09 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 889.03 to the nearest ten.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -29 - p**3 + 61 - p**3 - p - 23 - 24. Let d(l) = 2*l**2. What is k(d(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4, 0, 941 in descending order.\nAnswer: 941, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from {h: 3, u: 7, o: 9}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 22*v + 72 = 0. Sort 62, v, -3, -2 in ascending order.\nAnswer: -3, -2, v, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 75, 200, 437, 822?\nAnswer: 1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (44\/6)\/((-34)\/(-357)). Suppose b*k + 15024 = 93*k. What are the prime factors of k?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250.25*0.2.\nAnswer: -50.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 118*z - 37. What is the least common multiple of 2642 and d(-39)?\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 9 - (-2 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - m**2 + 5*m + 3. Let h(r) = -r**3 - 4*r**2 - 2*r. Let s be h(-3). List the prime factors of c(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1181\/45 + 352\/15. Calculate the common denominator of -25\/3 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/15 + 61*s**4\/3 - 5642*s**3\/3 + 16562*s**2\/3 - 11*s - 117. Factor k(g).\nAnswer: -4*(g - 91)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-36))\/((-10)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3861 = -5*v, 11*m = 9*m + 2*v + 3846. Is m a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383099168 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209\/2 + 105. Let a(m) be the first derivative of 0*m**3 + 4\/5*m**5 - s*m**2 + 0*m**4 + 0*m + 2. Find the second derivative of a(q) wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/21)\/(410\/(-492)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r + 2. Let f be t(1). Let -1\/3*m**f - 1\/3 - 2\/3*m = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + h)*(1 + 250*h - 250*h - 13*h**2) in the form a*h**2 + m + i*h**3 + j*h and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -2*f + 117. What is the third biggest value in 0.11, f, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12 + (-6)\/72*26. Which is the nearest to -1\/2? (a) m (b) 3 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q + 6*q**3 + 2 - 2 - 7*q**3 to the form v*q + y + z*q**2 + n*q**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2216586*9\nAnswer: 19949274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 35 = -0*s. Let z be (-3)\/(-3)*5 - 3. Solve -r - s = -z*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.289 - -3.011. Let a = -422.5 - -425.8065. Let u = c - a. What is u rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (sqrt(3645)*-1 + sqrt(45))**2 - ((sqrt(5)*3*-5)**2 + (sqrt(5) + sqrt(10)\/sqrt(2) - sqrt(5))*-2)).\nAnswer: 2*sqrt(5) + 1751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/3 - 55442*g\/3 - 184740 = 0. Calculate g.\nAnswer: -27711, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 988015961 to the power of 1\/3, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 2 = 14. Suppose 4*c = 4*r - 40, 1 = c + 5. What is the remainder when r is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 47 = 5*f. Suppose 5 = 5*i - f. Suppose 3*y - 5*b = 69, 4*y - 9*y + 102 = -i*b. What is the greatest common factor of 162 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12491*j - 12499*j + 5*q = -73 - 12, 5*j = -6*q + 44 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 + -59. Suppose -22*q - 84895 = -a*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 2*u**2 + u - 2. Let a(y) = y. Let s be a(0). Let m be d(s). Let o be 121\/(-33) + m\/6. Put 2, o, 5 in descending order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11916 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 + 8*n + 3. Let o = 60 - 67. Determine g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000787997 to seven dps.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = u + 2*s, -5*s + 24 = -u. Let z = u - -21. What is w in 0 - z*w**2 + 2\/7*w + 30\/7*w**3 - 18\/7*w**4 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/11)\/(h*h**(10\/7)) assuming h is positive.\nAnswer: h**(-201\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 4*k**4 + 5*k**4 - k**3 + 1 - 9*k**4 + 4*k**2 to the form h*k**3 + s*k**2 + y*k**4 + a + l*k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, z: 2, y: 1, r: 2, m: 1}. Give prob of sequence yk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-5))\/(12\/40). Let m(f) = -f - 2. Let x be m(v). Suppose 2*t - 6 = 2*k, -t - x*t + 5*k + 11 = 0. Solve 2*w - t*u = 6*w + 8, -12 = -3*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 13. Let h be i(-3). Which is the closest to -0.1? (a) 1 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*p**3 + 321\/4*p + 77\/4*p**2 + 243\/4.\nAnswer: -(p - 81)*(p + 1)*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((-1*sqrt(77))\/sqrt(7) - sqrt(11) - sqrt(11) - (sqrt(396) + sqrt(11) + sqrt(11) + sqrt(11)))**2 - (5 + sqrt(11) + 4*(sqrt(11) + 4))**2).\nAnswer: -210*sqrt(11) + 866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 5\/8, 7, -4, -2950?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*-1)\/(sqrt(567) - (sqrt(567) + -2*sqrt(567)) - sqrt(567)) + (sqrt(1728)*-3)\/((sqrt(4) - (sqrt(4) - sqrt(144)))*-2 + sqrt(4) + sqrt(4)))**2.\nAnswer: 14884\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007625507752 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q + 6*q)*(-4 - 1 + 4).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4\/3 - 850*t**3\/3 - 840*t**2 - 2510*t\/3 - 835\/3 = 0. Calculate t.\nAnswer: -167, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24762 + 23?\nAnswer: 24785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 4503722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 429*n - 6661. Let l be r(15). Let o(c) = -3*c**3 - c**2 - 7*c - 5. Give o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1913, -1911, -1909, -1907?\n\"Answer: 2*s - 1915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 - 23*j - 2. Let q be p(21). Let w = -1063 + q. What are the prime factors of w?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9151.423 kilograms?\nAnswer: 9151423000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -117, -199?\n\"Answer: -82*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -288102 (base 9) in base 5?\nAnswer: -21122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0 + 1\/2*w**2 + 7*w + 1\/2*w**3. Determine c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748\/(-1368)*272\/(-782)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1029420 and 160020.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -28*z + 220. What is the hundreds digit of w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 + 26*t**2 - 2*t**3 - 3*t + 29*t - 25*t + 0*t**3 - 5 as x*t**4 + o*t**3 + b*t + s + v*t**2 and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 - 12\/(-8). Let q = -531 + 527. Put q, 5, u in descending order.\nAnswer: 5, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - r - 67 = -4*u, 31 = -u - 5*r. What is the units digit of 124 - (8\/u)\/(3\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 5*m. Let z(y) = 4*y**2 + 1. Let d(s) = 15*s**2 + 3. Let v(o) = -d(o) + 3*z(o). What is r(v(g))?\nAnswer: -36*g**4 + 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**5 + 4*n**5 - 2*n**5)*(4 - 5 - 1) - n**5 - 1 + 1 + 2*n**5 + 2*n**5 - 2*n**5 - 1 + n**5 + 1 + 0*n**5 - n**5 + 3*n**5 + 4*n**5 - 28*n**5 + 6*n**5.\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 615*j + 30. Let y(p) = p**2 + 205*p + 11. Determine -3*t(d) + 8*y(d).\nAnswer: 2*d**2 - 205*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -5 - (1 - (-13 + 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199\/3 + 67. Let j = -44.4 - -37. Let f = j + 4.4. What is the closest to -0.1 in 4, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 0.1, 3\/28, 7, -1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24313 + -24311.7177. What is c rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -11, 2\/3, 0.2, -16, -0.17, 13\/19, 2\/15?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 773*u**3 + 3089*u**2 - 5*u - 24. Calculate p(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 1015\/129311*182?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhmhmm. Give prob of picking 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t - 4. Let c be v(-7). Let d = -2561 - -2638. Suppose -o + d = -c. List the prime factors of o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 149*c - 18267 - 18861 = 0. Calculate the greatest common divisor of c and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -53. Suppose 2*q - 49 = y. Suppose 9*p - 4*p = q. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 1.496. Let s = u - -0.104. Which is the third smallest value? (a) 1\/4 (b) s (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4 = -32. Suppose m*k = k + 1010. What are the prime factors of k?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 89643*m + 448200. Determine q(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2923 + 2895.022. Let h = -11 - -39. Let g = h + m. Round g to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {p: 12, q: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 860, 5, -1\/414?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 23*n = -683672. What is the units digit of ((-10)\/(-4))\/((-110)\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 59*v**2 - 32*v + 97. Let u be i(30). Solve -u = -5*x - 42 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1853)\/265 - (-1490)\/(-156 - 142).\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -75.5. What is the closest to -1.9 in -1, o, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(330))\/sqrt(11))\/(sqrt(216)*4).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntn when three letters picked without replacement from {n: 1, c: 5, o: 1, t: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163581.\nAnswer: 3, 11, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s + 4*s - 5*s. Let x be 10 - (2 - (1 - -1 - 4)). Let h(o) = -9*o + 24. Let l(j) = 7*j - 20. Let r(y) = x*l(y) + 5*h(y). Give r(t(k)).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -40*y - 13*y - 84. Sort 3, 1, y, 4, 133.\nAnswer: y, 1, 3, 4, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45799816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 6*a - 3*a - 5*a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7113 + -7058 - (1 - -86)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -2698?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 159*w + 0 + 8*w**3 + 3 - 158*w to g*w**2 + d*w + r + v*w**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**3 - 4*f**2 + 51. What is the units digit of m(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 5. Let o be g(4). Is o\/((-21)\/(-228)) - 1 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 (base 12) in base 11?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193 (base 14) to base 2.\nAnswer: 101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3*o**3 - 4. Let i(c) = -c**2. Give u(i(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64541, -129079, -193617?\nAnswer: -258155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**5\/19 + 58*g**4\/19 - 160*g**3\/19 + 66*g**2\/19 = 0.\nAnswer: 0, 1\/2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36\/7, 0.42106, -10 in ascending order.\nAnswer: -10, -36\/7, 0.42106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000407353 rounded to 7 dps?\nAnswer: 0.0000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 764 and 178203.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105725616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j + 1. Let o be i(0). Let b(u) be the third derivative of 11*u**4\/6 - u**3\/6 - 3*u**2. Does 12 divide b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*95\/(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -i + 19 - 1, -12 = -4*l - 4*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3686*g**3 + 789 wrt g?\nAnswer: -11058*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*i**5 - 752*i**4 + 4756*i**3 + 17864*i**2 - 13824*i - 8064 = 0. Calculate i.\nAnswer: -3, -2\/5, 1, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 8*l - 1. Let v be o(-7). Let c = v + 411. Suppose -2*d - d - 2*p + 154 = 0, -5*d = 4*p - c. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i = 2*w - 42*i - 183, -15*w - i = -1255. Calculate the lowest common multiple of w and 1434.\nAnswer: 20076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 0*r + 4*r - 2*r + 10*r - 2*r + (4*r - 4*r + r)*(-3 + 0 + 1) - r + 6*r - 3*r + (3*r - 4*r + 3*r)*(3 + 1 - 7).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 583+0.4\nAnswer: 583.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/69 and (-184)\/(-210) + 3 - (-4)\/(-10).\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -282, -620, -946, -1254, -1538?\n\"Answer: l**3 - 345*l + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-231)*(-495)\/330?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 396 + -276. Let s = -60 + u. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -112*a - 1861. What is the remainder when 170 is divided by x(-18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/88 and 64\/7161.\nAnswer: 57288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 17*y**2 + 13*y - y**3 + 18*y - 9 - 9*y. Let f be ((-18)\/(-96))\/(1\/4)*28. Let o be i(f). Calculate the greatest common divisor of o and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*z + 18 = 212*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 4*b**2 - 3*b + 15. Give m(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*c**2 + 30*c**2 + 28*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.3, 0, -220, -0.05, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 566*x**2 - 4*x + 1189 with respect to x.\nAnswer: 1132*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -40 (b) -13 (c) -5 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + q + 16 = 0, r - 10*q + 11*q = -7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -84*w**3 + 7 + 85*w**3 + 13*w**2 - 9*w**2. Determine t(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2660 and 798.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7358, 29708, 67058, 119408?\nAnswer: 186758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. Let i be -36*(-3)\/6*z. What is the greatest common divisor of i and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 3*f**4 + f**2 - f**2 + f**4 + f**2 + (-2*f**2 + 6*f**2 - 3*f**2)*(-2*f**2 + 1 - 1).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u - 5*k - 4, -10 = -5*u + 5*k. Suppose u*b + 2*r + 494 = 7*b, 3*b - 373 = r. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -89 + 23 + 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355521 divided by 52.\nAnswer: -355521\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 301079*-0.4\nAnswer: -120431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let q = -0.628 - -0.042. Let y = q + 0.086. What is the nearest to d in -3\/2, y, 4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-136)\/20)\/17 - (-75780)\/75 and 6868.\nAnswer: 34340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -21*k**3\/5 + 16253*k**2\/10 - 58077*k = 0.\nAnswer: 0, 239\/6, 2430\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 328477.98197 and -19.\nAnswer: 328458.98197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**3 + 17*h**2 + 13. Let u = -54 - -12. Let x = u + 55. Let c(p) = -4*p**3 + 8*p**2 + 6. Calculate x*c(f) - 6*y(f).\nAnswer: 2*f**3 + 2*f**2","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 {k: 9, r: 2, l: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3016831\/10641870 + -1\/54855. Calculate the common denominator of f and -91\/12.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 = -u, 4*g + 19 = 8*g + 3*u. Let z = -3 - -6. Suppose -z*h + 14 = -b, -g*b + 4 = 3*h - 3*b. Solve 2*d = h*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65049249\/17 + -3817992. Let r = t + -8432. Calculate the common denominator of r and 57\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 + 158052a?\nAnswer: 1580616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2285 = -452*f - 9881 - 942 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - -0.04. Let r = f + -0.39. Suppose o - 4*l + 3 - 9 = 0, -5*o = -2*l + 60. Sort r, -1, o.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwhfobbobo. What is prob of picking 2 f?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:37 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 + 3*d + 3. Give v(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -11, 20, 75, 160, 281, 444?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -14*f + 11. Find w, given that -17*w + w**5 + 3*w**4 + 10*w**f + 14*w**2 - 7*w**4 - 10*w**4 + 6 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -0.31, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - 2*a - a - 8*a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 - 10*u + 7. Let w(z) = 1. Let f(s) = -2. Let r(l) = -f(l) - 3*w(l). Let q(b) = 5*r(b) - v(b). What is the tens digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 6 - 7) + -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7*l = 10*l - 37, 4*l = -2*m + 20. Sort -5, -1, 405, m in decreasing order.\nAnswer: 405, -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58851980 - 5?\nAnswer: -58851985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*v + 20 + 6 = 0, -14 = m - 3*v. Let o be 42\/2 - (-3 + 4). Suppose -4*p + 0 = -o. Sort m, -5, p.\nAnswer: -5, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38104, 76207, 114310, 152413, 190516, 228619?\n\"Answer: 38103*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46440279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1825162 is divided by 283?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 607, 928, 1249, 1570?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -9*q - 52, 0*q - 18 + 2 = 5*q + i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1245 + 1 + 1\/1. Suppose -m = 3*p + p - c, -2*m = 5*p - 1558. Suppose -p - 368 = -4*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 91. Suppose -146 = -5*p - w, -z*w + 0*w = -4*p + 112. Find the first derivative of -2147*m**2 + 2147*m**2 + 29*m**3 + p wrt m.\nAnswer: 87*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 228 + 3417\/5*z + 3411\/5*z**2 + 1131\/5*z**3 - 3\/5*z**4.\nAnswer: -3*(z - 380)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*v + 4170, 5*o = -v + 2*v + 20746. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, -5\/4, 0.2, 6\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18612 is divided by 18608.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(1\/18)\/v*v))))**(-23))**(-9\/5) assuming v is positive.\nAnswer: v**(391\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 334, 47, 2, 200.\nAnswer: 2, 47, 200, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*k + 1386. Let h = -11049\/8 + k. Calculate the common denominator of 1\/4*(-462)\/(-35) and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19639795 divided by -19639795?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*c - 37*c - 75749 = 0. Calculate the remainder when 438 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(135)\/sqrt(3) + sqrt(45)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106.8 - 106.7. What is the nearest to g in -0.5, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 32*k - 41*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 13, w: 2, r: 1}. What is prob of picking 1 q and 1 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739321093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1593937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0 + 6. Let u be -2 - (-2 + 2 + l). Suppose u = -2*m + 56 - 20. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*u + 504, 2*u = -3*u + 3*y + 1309. Which is smaller: -1.1 or u?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 5*k + 2*n, 5*k - 286 = -2*n + 3*n. Suppose y + 2*c - 13 = 3, 4*y + 5*c = k. Let q = -4 + y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3381, -15133, -35259, -63759, -100633?\n\"Answer: -4187*y**2 + 809*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/328104 and -23\/185220.\nAnswer: 11483640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4368)\/(-63))\/13*-15*2\/2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312139 is divided by 285?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2139, -3914, -5689?\n\"Answer: -1775*r - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204250 - 0?\nAnswer: 204250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -20. Let l = 43 - g. List the prime factors of (l + -100)\/(25\/10 + -3).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {v: 5, k: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose -d + z = -3. Let o(b) = b + 1 + 0*b + 2 - 8. What is o(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438 - -460.1. What is d rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11095*s + 67754. Calculate y(6).\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 868208, 1736401, 2604594, 3472787, 4340980, 5209173?\nAnswer: 6077366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 624663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-3\/25)\/(k\/(k\/((k**(-1\/4)*k)\/k*k))*k)**(-2\/3))\/(k\/k**(3\/8)*k**(-3)*k**(-5)*k*(k*k**(-3\/7))\/k) assuming k is positive.\nAnswer: k**(33979\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 1)*((4*f**2 - 4*f**2 + 2*f**2)*(-17*f + 17*f - f**2) - 2*f**4 + 5*f**4 + 0*f**4 + 3*f**4 - 5*f**4 - 5*f**4).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let k(z) be the first derivative of -z**5\/60 - 4*z**3\/3 + 3. Let r(n) be the third derivative of k(n). Give u(r(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236987 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26880 divided by 168?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + p + 33, 0 = 4*g + 5*p - p - 44. Let z(s) = s**2 + 54*s - 416. Let v be z(7). Calculate the highest common factor of g and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2496 divided by -32.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3377\/860 - 39\/172. Calculate the common denominator of (66\/28 + -2)\/(70\/245) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373973702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*k - 17. Let z be (-7 - k) + 4 + -1. Suppose 2*j = -2*x + 60, z*x - 95 = -4*j - 0*j. Solve 0 = -4*h - h + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6. Let w(q) = -q - 3. Give 9*w(a) + 5*z(a).\nAnswer: -9*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004108877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15)\/20 - 5)*-2 and -61\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*x - 13 = 27, -2*j = 2*x + 4. Suppose 0 = -p - j*p + 344. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 208, 447, 772, 1177?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*c + 102*c + 64 = o, 2*c - o = 27 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clcucfh. Give prob of sequence chl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -814 (base 16) to base 13\nAnswer: -c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:26 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 127 = 3*f, 5*c + 333*f + 22 - 73 = 332*f for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/4*-2 - (-3 - -5). Suppose -4*u + 7 = -g. Let l be -3 - (-5 + u\/(4\/3)). Is 2\/95 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542579.1 decades to millennia.\nAnswer: 5425.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/6*((-585)\/26)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 20*s**2 - 19*s - 1. Let w be y(19). Let x be (1 + 15\/(-25))\/((-4)\/(-10)). What is the nearest to -1 in 0.5, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 + c**2 + 0*c**2)*(1022 - 1022 + 15*c)*(0*c - c + 0*c)*(3 - 2 - 3) as k*c**3 + a*c**4 + u*c**2 + w + f*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-4)\/14 + 4593\/16149) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.22 - 1.78. Put 2, 5, h, 3\/2 in increasing order.\nAnswer: h, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-4) + (-2 - 152\/(-26)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 69 = n + 10, 3*n + 2*b - 173 = 0. Suppose 5*g + 0*g = -2*m + n, 169 = 5*m + 2*g. What is the lowest common multiple of m and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 3*s + 953. Let t(v) = 1270*v + 3. Calculate d(t(o)).\nAnswer: -1612900*o**2 - 11430*o + 935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -x + 4. Let a = 48 - x. Suppose -3*j - a = -2*o - 5*j, 0 = 2*o - 2*j - 24. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 8, 3*b - 7 = 2*s - 3. Suppose u + 15 = -s*u. Let w(t) = -t**2 - 4*t - 3. Let a be w(u). Solve -2*y + y = -5*v, -4*v - y = a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.09 + -0.03949208.\nAnswer: 3.05050792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**2 + 334*q - 12. Let g(f) = -31*f**2 + 1003*f - 33. Give -6*g(r) + 17*m(r).\nAnswer: -r**2 - 340*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-5)\/(-2)) + -2. Let i = -3 - -5. Let j(a) = -a**2 + 4*a - 3. Let f be j(i). Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3312\/(-80)*(-2)\/(-6)*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622658330.\nAnswer: 2, 5, 7, 433, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**3\/(s**(1\/4)\/s)*s\/(s\/s**(2\/29))*s\/s**(-4\/11) assuming s is positive.\nAnswer: s**(6613\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {n: 9, h: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 263 - 239 = 0. Which is the nearest to -0.3? (a) t (b) 85 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/24 + 3*b**3 - 3*b**2. List the prime factors of p(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77, -61, -45, -29, -13?\n\"Answer: 16*b - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 4*w**2 + 8*w - 1. Let l be r(6). Let c = l - -185. Calculate the greatest common factor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + z - 1. Let d(q) = -q + 2*q**3 + 6*q**5 + 2 - 7*q - 11*q + 0*q**5. Let y(o) = -d(o) - 2*x(o). Find the second derivative of y(h) wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2904 and 65\/396.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 - 11*x**3\/3 + x**2 - 23*x - 1. Let t be y(11). Sort 0, 9, t.\nAnswer: t, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 551*f**2 - 2*f - 339 + 4*f**3 - 38*f**2 - 3*f**3 + f**3 + 340 in the form m*f**2 + l*f + o*f**3 + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26*(-360)\/(-2080)*44\/2079\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17877 - 3*l**2 + 8940 + 8937. Let n(r) = -2 + 11*r**2 + 9*r**2 + 2. Calculate n(h(q)).\nAnswer: 180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 6*o + 12*o = -h + 2*h - 213, 4*o = -48 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1003936404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22860.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 1, -2*n - 9 = 5*z - 40. Solve 9*s + t = 12*s + n, -s + 4*t = 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115.28 + 5366.72. Let h = o + -5481.3306. Let p = -0.606 + h. Round p to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 4895*x**2 + 504596*x.\nAnswer: -x*(x - 101)*(x + 4996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 2*d + 2. Let y(m) = -m**2 + m. Let z(j) = -p(j) + 3*y(j). What is the lowest common multiple of 8 and z(4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-23\/3)\/(g*g**(-27)*g*g) assuming g is positive.\nAnswer: g**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/13, -0.4, 21.14 in increasing order.\nAnswer: -0.4, 24\/13, 21.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + l**2 - l + 1. Let i(r) = 15*r**3 - 2*r**2 + 96*r - 6. Let x(s) = i(s) + 6*w(s). Find the second derivative of x(k) wrt k.\nAnswer: 54*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -11. Let g(d) = d. Let i(j) = -2*j. Let k(q) = z*i(q) - 8*g(q). Let w(t) = 0*t + 0*t - 2*t. Give w(k(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 + -138. Put g, -0.1, -0.2, 4 in descending order.\nAnswer: 4, -0.1, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = b + 4. What is the units digit of ((0 - -1) + -20)*b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/7 - 162616*q + 23138468024 = 0 for q.\nAnswer: 284578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.1100647.\nAnswer: -0.2201294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -4. Solve 14 = 3*v + s, -l - 11 = -2*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one fifths of a millimeter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17.9, 3, 4, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-15) - (-4)\/((-20)\/(-3)). Which is the third biggest value? (a) -2 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = 20. Let t = -32 - -23. Let u = t + 12. Let r(i) = 2*i**2 - 2*i + 2. Let a(b) = 3*b**2 - 3*b + 2. Calculate m*r(f) + u*a(f).\nAnswer: f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 709248 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c7b851 (base 16) to base 13.\nAnswer: 29337a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14093852 and 172.\nAnswer: 14093852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/20 - v**4\/3 - v**3\/6 + v**2\/2 + 3*v. Calculate b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 318 = -5*r + 262, -r + 5*f + 120 = 0. Solve -28*o = -5*o + r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*j + 1315 - 1315.\nAnswer: 664*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(2 + sqrt(1300) + 4 - sqrt(1300))**2 - (3*(sqrt(1300) + 1) + sqrt(1300) + sqrt(1300) - (-1 + sqrt(1300) + sqrt(1300)*2))).\nAnswer: -120*sqrt(13) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2959*m - 1481*m - 1477*m = -2*x + 1, m + 5 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 52.919. Let m = q - -1.081. Which is the fourth biggest value? (a) 2 (b) m (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 47*x**2 - 364*x - 960. Give v(-38).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*g + 1, 0 = -l - 0*g - 2*g + 1. Let x be (-2)\/(-7) - (-99)\/21. Solve 0 = l*h - x*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 35. Let u be s(-16). Find the third derivative of -6*l**2 - u*l**2 - 5*l**5 + l**5 + 0*l**5 wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2026909 to three dps.\nAnswer: 0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = 949 - 933 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011337 to 6 decimal places.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2747812*x**2 - 664*x - 15928?\nAnswer: 5495624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-15 - -23) + 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(((-122)\/(-12))\/61).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4 + 0*x**2 - x**2 + 2*x**2 + 3*x. What are the prime factors of l(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -116. What is the second derivative of 135*x - m*x**2 - 113*x**2 + 78*x**2 wrt x?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 1, f: 3}. Give prob of picking 3 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Suppose 0*v = -t*v + 12. Suppose -156 = -4*r + 5*p, 0*r + v*r = 2*p + 80. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 3900?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 10) to base 2.\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.026 - -52. Which is bigger: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (13 - 10))*-3*(-1)\/(-6). Solve r = -96*z + 91*z - 4*k - 6, -5*z + 5*k = -30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(252) - (sqrt(252) + -1*sqrt(252))) + sqrt(252).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50705141, 101410284, 152115427?\nAnswer: 202820570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -913, -2622, -5433, -9316, -14241?\n\"Answer: 5*r**3 - 581*r**2 - r - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.89694422 rounded to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(38\/(-9) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4367 = u, 5*g + 10*u - 7279 = 11*u. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -139*a + 21974. Determine h(158).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193295 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z. Let p(i) = 26*i**2 + 18. Give g(p(s)).\nAnswer: 182*s**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 + 5 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b04 (base 12) to base 5.\nAnswer: -22323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*(-200)\/32100*-107?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 1 - (48 + -27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 2)*(120\/(-10))\/12. Let c = 3\/11 - 1\/44. What is the closest to c in 0, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*(-20 - -18). Suppose -60*s**2 - 2*s**r - 83406 + 99*s + 83406 - 37*s = 0. Calculate s.\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 68 = -3776. Is (-8 + 5 + 12)*q\/3 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in 0.2, -1, -34\/443, 0.5, -81?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((4\/(-16)*-4)\/(-2)). What is the nearest to 2\/3 in 0.4, 1, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565927 plus 16.08?\nAnswer: -565910.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a**2 + a + 1. Let s(g) = -9*g**2 + 6400*g**3 - 7*g - 6393*g**3 + 17*g**2 - 8. Give 24*q(v) + 3*s(v).\nAnswer: -3*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11403525 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 105*h**2 - 17*h + 215. Let l be d(-52). Which is bigger: -1608 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, r: 4}. Give prob of sequence ll.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (58\/10 - 4)*15. Let v be q\/2*6\/(-9). Let d = v - -44. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 3 (c) 2 (d) -1 (e) -5 (f) 0.062 (g) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9321 - -9334. Which is the second smallest value? (a) m (b) -5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/15 - -2\/3. Let l = -1.1 + 1. Let i = 9 - 13. What is the third biggest value in t, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-6))\/(65\/78). Sort 145, s, 0 in ascending order.\nAnswer: 0, s, 145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:22 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 345\/117)*(107 + 19). Is y > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64782849?\nAnswer: 3, 227, 251, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2525 = 5*w + 3*s - s, 3*s = 15. Suppose 5*d = 32 + w. Suppose 0 = 5*t - d + 17. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/127 (b) -3\/5 (c) 0 (d) 5 (e) 2 (f) 2\/23 (g) 612\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 30 (c) 29 (d) -1608 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/2, 7660128, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 5*h**2 + 9*h - 15. Let o be w(4). What is the smallest value in 0, o, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20985 and 9570?\nAnswer: 13388430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7995521*c**4 - 4*c**2 - 348135 wrt c.\nAnswer: 191892504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcit when four letters picked without replacement from jifcivttc?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61641145 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or 695817?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 14 + 14)*(11*q**3 - 19*q**3 + 15*q**3).\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*a - 44 = 2*a, 0 = d + a - 3. Calculate the remainder when 51 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 - 7560.83.\nAnswer: -7561.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*(-3)\/9)\/(-2). Let l be d + (10\/(-3) - -3). Suppose 0 = -4*t + 2*x - 5 - 5, x + 2 = -5*t. Is t <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 873b - -cb75?\nAnswer: 185b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**2 - 9*u + 13. Give z(4).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 30 - 6. Let h be ((-5)\/(-2))\/(g\/(-12)). Let o = h - 7. Put -0.2, 3, o in increasing order.\nAnswer: o, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from {n: 8, q: 1, f: 2, k: 2}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, n: 1}. What is prob of picking 1 n and 3 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -26, -2\/3, 5, 8 in decreasing order.\nAnswer: 8, 5, -2\/5, -2\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6546 + 275?\nAnswer: 67bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 54 = -3*x, 4*x - 22 - 52 = 5*n. What is the remainder when x is divided by ((-25)\/50)\/(1\/8*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-36)*8\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**6\/360 + c**5\/120 + 2*c**4 - c**3\/6 + 4*c**2. Let x(a) be the first derivative of b(a). Is x(0) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -14 (c) 7\/2 (d) -0.2 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(27\/(18\/(-2)))\/((-10)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - m + 4. Let x(w) = -w**2 - 6*w - 6. Suppose 5*k = 2*h - 6*h - 32, 3*k + 3*h + 21 = 0. Let n be x(k). Does 5 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105016 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322 divided by 1?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.53128249 rounded to 3 dps?\nAnswer: -15.531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 - 246996*d + 2222721 = 0 for d.\nAnswer: 9, 82323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236 is divided by 88?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1032, -2068, -3102, -4134, -5164?\n\"Answer: w**2 - 1039*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 7*j + 4. Let n be (-1 + 1)*1\/j. Let v(h) = -h + 44. Let q be v(n). What is the greatest common divisor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, 8.\nAnswer: 1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50451 - 10328. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -25, -d + 6 - 23 = -4*z. Suppose -5 = z*w - 14. Suppose -5*v - 5*u - 10 = 0, -2*v + 5*v - w*u - 6 = 0. Solve -h - h = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 * -3207211\nAnswer: -141117284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10109 - 6963. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37.70596kg?\nAnswer: 37705.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -47. Suppose -3 - 1 = -g*r. Let t(b) = -19*b - 1. Give t(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -5*o**6\/3 - 256*o**5\/5 + 327*o**4\/2 - 500*o**3\/3 + 56*o**2 - 3599. Find a, given that z(a) = 0.\nAnswer: -28, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4621 + 10001. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1336 + -115. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2391380, -2391384, -2391388, -2391392, -2391396, -2391400?\nAnswer: -2391404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 185 - 13)*(2*i + 6*i**2 - 2*i).\nAnswer: 954*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5141 (base 6) in base 14?\nAnswer: -5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12084880 to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48012705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - (-92)\/20. Suppose -3*m - 2*n - 4 = -4*n, g*n = -m + 27. Solve -6*z - 8 = -m*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17780914246.0000953 + -17780916291. Let x = 2037.348 + 7.652. Let o = u + x. Round o to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5852*m - 5*l + 40 = -5847*m, -5*m = -5*l + 60 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(99))\/sqrt(9) + 4.\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.7878l in millilitres?\nAnswer: 749787.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 76\/(2 - 0) - (-11 + 13). Does 12 divide 660\/d - (-4)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - 0. Let p be ((-1)\/f)\/((-1)\/4). Differentiate -p*q + 1 - q - 3 with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010011111 - 100011011000?\nAnswer: -100110101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317424 is divided by 4465?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 99.721?\nAnswer: 99.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321168635.\nAnswer: 3, 5, 29359303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 53*x - 2416 = -2*b, 5*b + 2*x - 6038 = 0. List the prime factors of b.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/6 - 4*g**3\/3 - 5*g**2\/6 + 7*g\/3 = 0. Calculate g.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1371955?\nAnswer: -1371956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 637, 1414, 2507, 3922?\nAnswer: 5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86.66945 - -86.48. Let s = 37.81 - 38. Let y = t - s. Round y to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1550\/9, -2\/3, 0.7, -13 in descending order.\nAnswer: 0.7, -2\/3, -3, -13, -1550\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 9*m - 3*m. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b - 255*b - 256*b + 106*b to the form x + j*b and give j.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9492, -18979, -28462, -37941, -47416, -56887?\nAnswer: -66354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1634 = -5*o + 701. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.046371 and 2.\nAnswer: -0.092742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (7 - (7\/(-5) - 2648\/(-320))). Which is the closest to -13? (a) 1\/6 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -13*s + 32. Let k be (-4 - -2639)\/s + 0. Let d be k\/62 - (1 - 3)\/(-4). What is the highest common divisor of 32 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(33\/(-6) - -3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1187 = 197. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12288 by 6144.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 74. Let w = 33 + j. What is the lowest common multiple of 1 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 + 6.14. Let d = s - 11. Let n = -0.5 + 0. Which is the smallest value? (a) 0.1 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6945c (base 13) in base 10?\nAnswer: 191892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y**(-2\/7))**(8\/7) assuming y is positive.\nAnswer: y**(72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 15*o + 124. What is q(20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 86 = -4*s. Suppose -s - 267 = -2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -162, -171?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15*r**3 + 8*r + 11. Let p(q) = 5*q**3 + 3*q + 4. Let d(i) = 3*g(i) - 8*p(i). What is the first derivative of d(n) wrt n?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 10*n + 19. Let c be b(8). Let u(m) = 57*m**3 + c + 9*m**2 - 23*m**3 + 10*m - 35*m**3. Let q be u(10). Solve q*s - 2 = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 17}. Give prob of sequence ccc.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a = -19*a + 624. Sort 1, -5, a in descending order.\nAnswer: a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*j**3*v**2 - 98*i*j**3 - 12*i*j + 65481*i*v**2 - 2*j**3 + 2 wrt v.\nAnswer: 4*i*j**3*v + 130962*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 329*q**2 + 359*q - 3. Calculate a(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 385947758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {l: 1, t: 5, b: 1, k: 1, w: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awo. Give prob of sequence wa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 14.7, -4\/11 in ascending order.\nAnswer: -4\/5, -4\/11, 14.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - 2*(-3)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -25. What are the prime factors of o\/(-4) - 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2\/5, 1383, 6\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*q + 22338510 = -98*q - 73*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28485 or -28518?\nAnswer: -28518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -27, -4\/9, -1\/6 in increasing order.\nAnswer: -27, -2, -4\/9, -1\/6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17 - -11)*(-2)\/4. Let c = -24 - m. Let h(o) = -27*o + 1. Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 12*m**2 + 13*m - 13. Let n be t(-13). Let s = 17 + n. What is the second derivative of 14*d**4 - 25*d - 32*d**s + 5*d**4 wrt d?\nAnswer: -156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Let b(d) = -48544*d. Determine b(l(o)).\nAnswer: 97088*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1501802, 1502190, 1502578?\nAnswer: 1502966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24450764.\nAnswer: 2, 13, 470207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*h - 0*h - 15, 0 = 3*f - h + 13. Let k(w) = w**3 - 99*w**2 + 88*w + 966. Let c be k(98). Is c not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/720 + y**5\/20 + 85*y**4\/144 + 11*y**3\/6 + 83*y**2. Suppose t(k) = 0. Calculate k.\nAnswer: -3, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15414.98 + -15415. Let i = 0.1 - 0.5. Which is the fourth smallest value? (a) v (b) 1\/6 (c) i (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646365824?\nAnswer: 2, 13, 71, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 + 1)*(45*n - 47*n + 77*n) + (-3*n + 0*n + 2*n)*(-5 - 1 + 4) - 2*n - 4*n + 2*n + 3*n + 3*n - 7*n)*(2 - 2 + 1) in the form w + d*n and give d.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 2, x: 6, b: 3, y: 3}. What is prob of sequence sxx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gul when three letters picked without replacement from {f: 1, l: 3, r: 1, u: 6, g: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:52 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*i**3 - 10*i**2 wrt i?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*a - 7 = 0, 0 = 5*a - 5 - 0. Let c = 3 - 3.04. Let h = c + -0.06. What is the nearest to h in -4, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2708 and 20245685.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -16. What is the common denominator of -127\/18 and 9\/(-8) + i + 0?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.192? (a) 0.5 (b) -5 (c) 0.04 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-141 - -1)\/(-5)*1)\/(410\/(-41))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzzzxbxxbxz. What is prob of picking 2 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9) - 1)\/(-3 + 9). Which is the closest to -0.2? (a) m (b) 0.06 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -11110?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(22)\/sqrt(2)*6) + -3 + (sqrt(21)\/(sqrt(3)*3))**2 + sqrt(1008) + -2.\nAnswer: -38\/9 + 73*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 - 78*g**2\/7 + 720*g\/7 + 5400.\nAnswer: -2*(g - 21)*(g + 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-2 - (8 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2022733 + 1?\nAnswer: -2022732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -111100221011?\nAnswer: 111100220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7272 divided by -3636.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 186.37 or 47\/51?\nAnswer: 186.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111553 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 47103*o + 189079. Determine r(-4).\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*z - 15, b - 68 = -3*z - 76 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/(-12)*175956\/(-55341)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 4, d: 2, x: 7}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33 + -3*(8 + -4 + -5). Solve 0 = 4*a - 13*a - x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - m**5 + m**5 + (m**3 + m - m)*(-4*m**2 - 2*m**2 + 4*m**2) - m**5 - 5*m**5 + 0*m**5 + 2*m**5 + 5*m**5 - 2*m**5.\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = -5*x. Suppose 4*i = -3*t - 3, -3*t - 2*t = -3*i + 5. Let z = t - x. Sort 5, -2\/9, z in descending order.\nAnswer: 5, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -885 + 1025. Suppose -519*u + 515*u = -q. Calculate the remainder when 63 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7678328?\nAnswer: 2, 7, 31, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*d + 966, -4*x + 151 = -3*d + 876. Let s = -2153\/9 + d. Which is the nearest to -0.1? (a) 1 (b) -0.04 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 168 = 51. Suppose 5*x = 116 - 11. What is the remainder when l is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, j: 4, d: 3, y: 2, o: 1}. What is prob of sequence onyn?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 11*q**2 + 2*q - 17. Calculate j(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6929306999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c + 0*c + (0 - 4 + 2)*(c + c - 3*c) + 4*c + c - 6*c - c - c + 4*c + 8*c - 6 + 6)*(3 - 2 + 1)*(2 + 0 + 0).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32008, -63982, -95964, -127954, -159952, -191958, -223972?\n\"Answer: -4*s**2 - 31962*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1028 (base 9) to base 16.\nAnswer: -2f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = 0. Suppose 2*a - 2*n = -2*a + 82, m = -4*a - n + 85. Suppose a - 25 = -4*c. Solve 2*v + c = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 7*h**2 + h - 5 - 1 + 7*h. Calculate q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70347*j**2*w - 36*j*w - 6221740*w wrt j.\nAnswer: -140694*j*w - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.57 take away 141.18?\nAnswer: -143.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 + 26*m**2 + 50*m. Give n(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 56 = 4*q, -4*k - q + 278 = q. Let z = 143 - k. Is z a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154320 (base 9) to base 6.\nAnswer: -2011543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -66.\nAnswer: 17\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5788 is divided by 437?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -6. Let a be (((-10026)\/84)\/1)\/(4\/(-14)). Let z = a - 418. Put z, p, 3\/5 in descending order.\nAnswer: 3\/5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00935 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**5\/20 + b**3\/3 - b**2\/2 + b - 2. Let u(d) be the first derivative of f(d). Let a be 3*3\/((-27)\/6). Calculate u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -345, -4\/3 in decreasing order.\nAnswer: -1, -4\/3, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12785 and -2727?\nAnswer: -34864695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -844*h*l**3 - 5*h*l + 49*h + l**2 + 3*l - 1 wrt l?\nAnswer: -5064*h*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.0458 - 0.0458. Sort 5, 0, -121, p in descending order.\nAnswer: 5, p, 0, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/13)\/((-4350)\/975)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 32754. Let j(s) = -11*s. Give x(j(m)).\nAnswer: -11*m - 32754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -19*u + 18*u + 6, -4*x - 26 = 5*u. Let i(y) = y**3 + 6*y**2 + 3*y + 4. Determine i(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/15 - i**4\/6 + 40*i**3\/3 + 118*i**2. Suppose s(h) = 0. Calculate h.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7004 (base 12) to base 14\nAnswer: 45a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -57677*n. Let h(p) = -36*p. What is v(h(b))?\nAnswer: 2076372*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 1. Let z be c(-1). Let m(p) = -p**2 - 4 - z - 3*p + 4. Let v be m(-2). What is v rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 39*y - 36*y - 34 = 0, -5*k = 3*y + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) 1\/2 (c) -1395709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) + (-21)\/(-12). Determine n so that n**2 + 4*n**3 - 2*n**3 + 5*n**z - 2*n**2 + 2*n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/112*(-1260)\/7800*-8\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - k**2 - 4*k. Let j be z(-3). Let r = -29 - j. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 897293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22025\/35 + (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - k - 120, -6 + 54 = -2*m + 5*k for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q**4 - 2*q**3 + 9*q**2. Let z(h) = 3*h**4 - h**3 - h. Let b(s) = -w(s) - 4*z(s). Factor b(x).\nAnswer: -x*(x - 4)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:03 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 1 - 1\/2*d**2 + 0*d + 0*d**3 - 1\/24*d**4. Let x(v) be the second derivative of q(v). Let r(t) = 2*t**2. What is r(x(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2 (c) -278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -4. What is the lowest common multiple of 20 and (-1)\/(-2) + ((-570)\/c)\/(-19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 5, u: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29732561 is divided by 120864?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -543 - -782. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 213 and 49203?\nAnswer: 49203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.20303 grams in micrograms?\nAnswer: 32203030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/(-992) + (-134)\/(-48)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*k + o - 15, -3*k - o = -8. Solve n - 8 = d, n - k*n = -d - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n - 109. Let i be l(-19). Let w(r) = 12*r - 512. Let m be w(i). What is the third biggest value in m, 2, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = v - 3, 0 = 4*j - 3*v + 36. Let y = -7 - j. Suppose 2*c + 20 = -d + 6*d, -4*d + c + 13 = 0. Calculate the greatest common factor of d and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*n - 20, 5*z - 1 = -3*n + 19. Sort -5, z, 0 in descending order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -934a + -7?\nAnswer: -9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 421*x + 6. Let n(r) = -4*r - 2. Determine -f(q) - 3*n(q).\nAnswer: -409*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4 - (-2)\/4. Let n(z) = -172 + 172 - 12*z**i. Let c(d) = -d. Calculate n(c(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3 = -i, -42*o - 20586*i - 180 = -20589*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 274, 242, 160, 4, -250, -626, -1148?\n\"Answer: -4*r**3 - r**2 - r + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/24 + v**3\/6 - v**2 + 23. Let y(c) = 10 + 16 - 32 + 9*c. What is 5*o(r) + y(r)?\nAnswer: 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -13*f + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -18 + (-4 - -5 - 6 - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175411, 350834, 526271, 701728, 877211?\nAnswer: 1052726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220 - (-209 - -126)) + -8?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-30))\/(2\/12). Let u = 34378 + -34454. Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40507.6 - -3969.\nAnswer: 44476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/18 - 380*b**3\/9 - 9025*b**2 - 2233. Solve w(s) = 0 for s.\nAnswer: -285, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11993922 and 36?\nAnswer: 23987844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517184100 by 177300.\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1177, -5, -17, -58 in decreasing order.\nAnswer: 1177, 3, -5, -17, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*s = 2270, -4*s - 1718 = -21*g + 18*g. Suppose -5*q = -g - 170. What is the greatest common divisor of 185 and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164 + 511*k - 132 + 299 as w*k + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 270.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*c - 82*c + 152240 = -454*c for c.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 692*z + 4142. Calculate l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.0214?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8.22463875 - 68\nAnswer: -59.77536125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 11*q - 5. Let j be w(11). Let m = 8 - j. Calculate the remainder when m is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 9*v**2 - 10*v - 4. Let u be g(10). Are u and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7387\/130 + 688\/13. Calculate the common denominator of (2208\/(-1360))\/(8\/(-10)) and g.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s)\/s**8*s**(-6)\/s**(2\/29) assuming s is positive.\nAnswer: s**(-1166\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -8\/9, -16, -5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = -2*d + d + 61 - 16, 3*d = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/193)\/(1258\/1258*(-12)\/((-4)\/(-1)))?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4553153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5\/5 + 252*v**4\/5 + 7048*v**3\/5 + 43506*v**2\/5 - 7049*v\/5 - 43758\/5 = 0.\nAnswer: -221, -22, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = 3, -3*c - 47 = -5*v. Suppose o - 5*x + 46 = 3*o, -x + 17 = o. Let t = o + v. Solve -5*l - t = 2*h, -4*h - l + 6*l = -29 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32528339 is divided by 418?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 + 99\/27. Suppose -5*n + 17 + w = -3*m, -3*n - 4*m = -12. What is the third derivative of -2*a**2 - a**4 - a**4 - a**n wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 9. Let n(g) = -4*g. What is n(y(r))?\nAnswer: -4*r - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/25 + 27\/50. Which is the second smallest value? (a) k (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 - 12*p - 7. Let w be f(7). Suppose -w*h = -3*h - 4*g - 60, 5*g - 5 = 0. What is the first derivative of 4 - 3 - 4*o + 3*o - h*o wrt o?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 41157.17 nanometers?\nAnswer: 41.15717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 4*h - 4. Let v(r) = -r**2 + r + 1. Let u be (-66)\/17 - ((-728)\/(-119) - 6). What is u*v(c) - g(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36037 by 12.\nAnswer: -36037\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2749 is divided by (-258900)\/(-1800) + 1\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 - 4*w**2 + 2*w**2 + 3*w**2 + 1 - 4*w**3. Suppose -o + 5*b = 20, -5*o - b = -5 + 1. Calculate f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*i + 7*i = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 4, n: 11, v: 3}. What is prob of picking 1 v and 1 i?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 817, 3332, 7517, 13360, 20849, 29972, 40717?\nAnswer: 53072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186759931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 - 8*l + 8. Suppose 2*k - 20*k + 360 = 0. Calculate the remainder when k is divided by f(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.66 and -30096.\nAnswer: 19863.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3801\/2, 0.5, -2\/9, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/3)*b))**(1\/40))**(-8\/15) assuming b is positive.\nAnswer: b**(1\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80015060123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.4. Which is the closest to 0.1? (a) l (b) -4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4190662 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -1465.5?\nAnswer: -16120.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 10. Let x be n(-5). Suppose -x*f + 42 = -38. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 13*k - 85. Is 4 a factor of l(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 816 + 0 - (-6)\/(-72)*0 and 128.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + -3 + 1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 3*q + 28. Is q > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g - 41 + 27*g + 19*g + 43 to z*g + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 7. What is the tens digit of y(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569544, 1139069, 1708594, 2278119, 2847644?\nAnswer: 3417169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 2. What is the units digit of z(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 37. What is the smallest value in 1, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(605) + 0.\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 4. What is the remainder when (-1)\/((3\/(-12))\/((-5)\/(-10))) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*u = -283*u - 252. Let w(f) = -f - 2. Suppose 0 = -5*h + 5*t + 40, 0*h - 72 = -4*h - 4*t. Let z(m) = 2*m + 4. Calculate h*w(o) + u*z(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-10))\/5*-2*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 142. What is r(-12)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z - 45. Let w(t) = 9*t + 30. Let u(d) = 5*f(d) + 7*w(d). Differentiate u(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 9. Let u = -415.1 + 415. Sort u, b, -1\/2, -7 in decreasing order.\nAnswer: u, -1\/2, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 739 - 1459. Let c = r + 1011. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3420)\/133)\/4*(-21)\/(-630)*10.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.057, -1\/6, 0, -196, 0.79, 1?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-4 + -1 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*1*10\/(-6). Suppose 0 = 4*j - 4, -b*q - 4*j + 0*j = 136. What is the remainder when 2 + -1 + (-2 - q) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-602692)\/69)\/((-6)\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 39*o + 234. What is the lowest common multiple of 16708 and t(32)?\nAnswer: 83540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749720.\nAnswer: 2, 5, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6778 is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04401 (b) 7\/18 (c) -0.4 (d) -108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**2)\/(l*l**(-1\/14)))\/(l**(-3)*l**(-6\/11)))**(1\/37) assuming l is positive.\nAnswer: l**(249\/5698)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014860 - 136835?\nAnswer: 1878025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 - ((-24)\/(-2))\/2 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/6)\/(4\/6). Let d = -7 - g. Let k be 0\/((-9)\/d) + 2. Which is the closest to 1? (a) k (b) 1\/3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5591663.1 - -5580127.5747. Let v = -11536 - u. Let p = v - -0.48. Round p to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 2181479987?\nAnswer: -2181479982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19367059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18755 or 1993?\nAnswer: -18755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 - 109. Calculate the lowest common multiple of c and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/4, -48, -2\/3, -1 in increasing order.\nAnswer: -48, -13\/4, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (71\/6)\/((-644)\/(-12) - 1). Let r = o + 2\/79. Factor -1 - 3\/2*y**3 - r*y**4 - 3*y - 13\/4*y**2.\nAnswer: -(y + 1)**2*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 2 = -6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 2.9\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d - 1. Let g be z(-1). Calculate the highest common divisor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 649 + -392. Let l = i - 252. Sort -4, l, 3, 6 in descending order.\nAnswer: 6, l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258 minus 41842?\nAnswer: -38584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -85 - 3*a - 85 + 157 - 12*a. Let r(b) = 7*b + 6. What is 13*r(t) + 6*s(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - (sqrt(136) - 1*sqrt(136)))*3)\/(-3*sqrt(2)*1 - sqrt(18)\/(1*sqrt(9))))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.1 (b) -2\/5 (c) -14\/3 (d) 6 (e) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1100 and -838 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.081 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q + 21. Let n be v(9). Let d(y) = n - 66 + 3*y**2. Let o(p) = -8*p. What is d(o(c))?\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:59 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 divided by 14?\nAnswer: 963\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - (61 + (2 - 2)). Let p be 2*1*6\/d. What is the nearest to 0 in -0.35, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866791 - 324.75?\nAnswer: 2866466.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/((5 + -2)\/(-3)). Suppose 15 = 4*q - w. Suppose -3*o = -q - 16. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.6 - -3.4. Let z = o + 7. Sort z, 0.1, 2\/11 in decreasing order.\nAnswer: 2\/11, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 2250180?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11010001111101000?\nAnswer: -11010001111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wexexmlxemmwvwmxm. What is prob of sequence mxmv?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:58 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 22164 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 9*j**2 - 60*j - 237. What is x(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6 = -3*w, -7*m + 64 - 39 = 2*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47796350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 118 or -0.1?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272015 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h + 154. Let q(m) = 6*m - 51. Calculate 4*l(k) + 11*q(k).\nAnswer: -2*k + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17218*y + 17221*y - 2*j + 0*j + 15 = -0*j, -7*y - 35 = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -216360 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-525)\/12)*(41 + 7)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980569170 to the power of 1\/3, to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 + 429. Suppose 2*i = -2, 5*i = -2*y + i + f. Let v = y + -48. Calculate the remainder when v is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59944030789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 542.239 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/3 - 14*u**3 + 269*u**2\/3 + 5906*u + 34040\/3 = 0. What is u?\nAnswer: -37, -23, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 13*z - 5*p, z + 8*p - p = 9*p + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7056778 is divided by 25661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50585871 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0)\/(-3 - (-28)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12*k - 35. Let v = 15 + -3. Suppose m - 4 = v. Is w(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x**4 + 4*x**3 - 4*x**2 - 46. Let v(g) = 51*g**4 + 11*g**3 - 11*g**2 - 138. Let d(h) = 11*j(h) - 4*v(h). What is the derivative of d(i) wrt i?\nAnswer: -68*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11040, 26389, 41738, 57087, 72436, 87785?\nAnswer: 103134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o**3 - 3*o**2 + 7*o - 1. Let k be a(1). What is the biggest value in 4, -2, k, 1.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:00 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*n - 15 = 156, -12 = 4*n. Let u = i - -114. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010011101010 (base 2) in base 7?\nAnswer: 54331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -325, -1091, -2579, -5029, -8681?\nAnswer: -13775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**6\/20 - n**4\/12 - 3*n**2\/2 - 8. Let k(t) be the second derivative of c(t). Find the second derivative of k(o) wrt o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 - w**3\/3 + w**2\/2 + 6*w - 1. Let c be a(0). Let k(r) = r - 1. Let o(j) = 7*j - 6. Give c*k(h) - o(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 6)\/((-2)\/6). Let z(w) = w - 2. Let j be z(o). Solve 20 = -m - j*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(22\/12 + -2) + 1. Let c(f) = -107*f + 75. List the prime factors of c(k).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000696325 rounded to 6 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u**2 + 11*u - 36. Let r(b) = -b**2 + 1. Let w(y) = -q(y) - 4*r(y). Let p be w(6). Let -4\/5 + 2*s + 2\/5*s**3 - 8\/5*s**p = 0. Calculate s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-490257*g + 975695*g + 2 - 494829*g)*(1 + 5 + 0).\nAnswer: -56346*g + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331212 (base 5) to base 6.\nAnswer: -325133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 696960 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1173 divided by -69.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f + 2. Let j = -219 + 220. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371321*q + 5*q**2 + 95*q**2 + 371043*q + 2*q**3 wrt q?\nAnswer: 12*q + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d - 0. Suppose q + 3*s = 2*q + d, 2*s = -2*q. Find the common denominator of -93\/10 and -62*(-4)\/(-112) - q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 11*k - 6*k = -16, -3*k = 2*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5 - 23. Suppose 51 = -5*o - v. Is 15 a factor of (0 - o) + -6 + 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 3*m - 12. Let d be j(-2). Let p = 0.351 - -3.519. Let u = -0.13 - p. Which is the smallest value? (a) d (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -45 + -3 - 31?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:18 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 29*n + 54. Determine i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3356 - 8 - (-30)\/(-5). Let m = o + -2289. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7091.97 rounded to the nearest one hundred?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n = 829066 + 1925526. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0.068 (b) -0.065 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + -1 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:27 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610 by -5.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s**2 + 19*s + 30. Let q be v(-3). Which is the third biggest value? (a) 1.1 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**2*(j\/((j*j*j\/(j\/(j\/j**10)*j)*j*j)\/j)*j)\/j*j**(-5\/6)*j**(-10) assuming j is positive.\nAnswer: j**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 9 + 18 + 2*t)*(-202*t**2 + 202*t**2 + 16*t**4).\nAnswer: 32*t**5 - 64*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:45 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11385 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*m**3 + 88*h*m**2 - 8445*h*m - 9*m**3 - 2*m**2 wrt m?\nAnswer: -12*h*m + 176*h - 54*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 636529, 1272845, 1909161, 2545477, 3181793, 3818109?\n\"Answer: 636316*i + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -20*s**2. Let f(r) = 13*r**2. What is z(f(n))?\nAnswer: -3380*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r**2 - 13365*r - 562176. Give i(995).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*z - 14 = -251*z - 4*q, -4*z = -3*q + 14. Which is the fourth smallest value? (a) -3 (b) -271 (c) z (d) -5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/11, 0.2, -1\/8, -1, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -222\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-32) + 2*4\/(832\/(-29)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 27*d + 162. Calculate the smallest common multiple of 202 and s(-32).\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:36 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 25, 0 = -5*v - 15*s + 17*s + 11890. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, i: 6, y: 2}. Give prob of picking 1 i and 2 y.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -44. Let w be (z\/(-27))\/(16\/(-24)). Let h = 15 - 18. What is the closest to 0 in h, -0.7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)*(o**(-4)*o*o)\/o)\/(o*o**(-2\/33))**(-23) assuming o is positive.\nAnswer: o**(86\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 362 - 250. Suppose 7*a = -21 + c. What is the highest common divisor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.3. Let x = -4599 - -4602. What is the closest to q in -0.2, x, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - -3)\/(4\/124*-1). Let y = 492 + w. What is the remainder when y is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 1478*o + 101781. What is w(-66)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i. Let z = -2023\/18 + 1025\/9. Let w(h) be the first derivative of 0*h + 28 + z*h**2. Calculate d(w(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 393411 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 177200.626 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2640629 < -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:26 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 0, -82*l - 5*j + 9481 = -79*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 3*r**4 - 2*r**4 + (0 + 0 + 3*r)*(4*r**3 - 3*r**2 + 3*r**2).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -0.7. Let l = -52\/3 + 17. Which is the third smallest value? (a) q (b) 2\/13 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209*n**2*v**3 + n**2*v + 10144*n**2 + 114496*n*v**3 - n*v + 5*v + 5 wrt v?\nAnswer: -1254*n**2*v + 686976*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srrsssssrussrs. What is prob of picking 1 u and 2 s?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77910 - 920*a**2 - 39139 - 38771.\nAnswer: -920*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -105*c**3 + c. Let m be j(-1). Suppose o = -3*o + m. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 - -6 - 4 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 111 = -2*a + a, -2*n - 117 = -a. Is ((-7)\/(-21))\/((-1)\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2497 and 320297.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 - -2?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21945 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -4 - ((8 + 6 - 10) + 43).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**1*o)))**(-7))**(-5\/13) assuming o is positive.\nAnswer: o**(70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a*m*o**2 - 143*a*n*o**3 - 2*a*n*o**2 - 2*a*o**3 + m*n + 92*m*o**3 wrt m?\nAnswer: -4*a*o**2 + n + 92*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**24*r)\/r)\/((r*r**(-4\/29))\/r)*(r*r*r*r\/((r\/((r**(-6)\/r)\/r))\/r))\/r**(-25) assuming r is positive.\nAnswer: r**(1309\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*n = -405*n - 70 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 at most -0.019395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eye when three letters picked without replacement from keyyke?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - 203. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2. Let t(b) = 105*b - 4. Let q(j) = 2626*j - 101. Let h(v) = -4*q(v) + 101*t(v). Calculate z(h(r)).\nAnswer: -30603*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15750 - -28079. What are the prime factors of f?\nAnswer: 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 20. What is l(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2 + 1 - l - 7 + 0. Calculate h(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*32\/120 - 143144\/(-40) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-273)\/(-156)). What is the nearest to -2\/5 in 0.2, c, 5, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from zllzzzzzzzz.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**4 + 0 - 2 + 3*s**4)*(149 - 1036 + 87) as f*s**4 + z*s**3 + g*s**2 + v + m*s and give v.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(612) - (3 + sqrt(612) + sqrt(612)))*-5 - (2*sqrt(612)*2 - (3*-1*sqrt(612) - sqrt(612))).\nAnswer: 30 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izxqcqf. Give prob of picking 2 q and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 15. Put 3\/5, -5, h in increasing order.\nAnswer: -5, h, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337663417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 17. Let x = 23 + d. Is 2 - x\/(10\/(-378)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -1\/4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 + -1199 + 1 + -70 + -7 + -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*f + 13 = 0, 5*f = k + 2*k + 41. Suppose -58 = -7*g + 33. Let c = k + g. Solve -c*n + 6 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*q - 142*q - 48. Let k = q + -17. Determine t so that -4*t**3 - 32*t**4 + 30*t**3 + 8*t**5 - 2 + 15*t**2 + k*t**2 - 6 - 16*t = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/30 and 5 + 0 + 1 + 111\/(-90).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5422500 (base 6) in base 13?\nAnswer: 94a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560.9229 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m + 27*m**2 - 10*m + 59*m**2. What is the units digit of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 2. Let y be z(-2). Suppose -1 + 10 = -3*s, 0 = y*f - 2*s. Is ((-573)\/(-12))\/(f\/(-60)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.2 (b) -76 (c) 4 (d) 11.4 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -631931 (b) -3 (c) 5 (d) -1\/4 (e) -2\/7 (f) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 plus -0.02?\nAnswer: -378.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 414 + -368. What is the second derivative of u**5 + 48*u + 3*u**5 + 21*u**2 - 9 - q*u - 80 wrt u?\nAnswer: 80*u**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99880*r**2 + 159735*r**2 - 35902*r**2.\nAnswer: 223713*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 20 = -2*r. Calculate the smallest common multiple of 21 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**3*q)*q*q**4)\/(q\/(q*q*q\/(q\/(q*(q**0*q)\/q*q))*q))**(-2\/33) assuming q is positive.\nAnswer: q**(58\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 181*y + 17917. Calculate b(-119).\nAnswer: -3622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -40*a + 19*a + 14*a. Let p(m) = -3*m - 2. Let v(d) = -6*d - 5. Let s(r) = 5*p(r) - 2*v(r). Determine u(s(g)).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = -36*m + 5460. What is the smallest common multiple of 2\/(-2 - (-68)\/32) and m?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.17 + 16. Let y = d + -0.83. Which is the closest to 5? (a) y (b) -3\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1959 - -2058. Let a(n) = -2*n**3 - n**2 + 2*n + 3. Let b be a(3). Let z = b + m. What is the remainder when z is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20744, -20881, -21020, -21167, -21328, -21509, -21716?\nAnswer: -21955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and 0.19382?\nAnswer: 10.80618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26835.56 - 1.6614574.\nAnswer: -26837.2214574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r = -p + 18, 3*p = 3*r. Let t be 26 + (15\/(-3) - -4). Suppose 3*a = 8*a - t. Calculate the remainder when a is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j**4 - 2*j - 4 + 9 - 126*j**4 - j**3 - 6 + 59*j**4 - 4*j**2 to q*j**2 + l*j + u*j**4 + t + n*j**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 + 751836*p**3 + 3759248*p**2 + 6014832*p + 3007424 = 0.\nAnswer: -2, -1, 187964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.389 - -26.389. Let t = -0.2 - 0. What is the nearest to b in t, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8561588.3 rounded to the nearest one thousand?\nAnswer: 8562000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -10 - (-298 + 263)) + -90\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by 3.\nAnswer: 322\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -208, -5\/6, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.50223 equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2450 times -146\nAnswer: -357700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -246*d**5\/5 + 468*d + 24. Find the first derivative of f(y) wrt y.\nAnswer: -984*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**4\/12 + 3*j**2\/2 - 6*j. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 at most as big as 1168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:14 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-24) + 1333532\/30. Let y = z - 44456. Calculate the common denominator of y and (-732)\/(-32)*4\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*z = 107*z + 105*z - 2977088. Is 181 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:28 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430915411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2471, -2469, -2467, -2465, -2463, -2461?\nAnswer: -2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 3*f + 14*f**2 - 2*f**4 - 2*f**3 - 15*f**2 as c*f**3 + x*f**4 + u*f**2 + l*f + q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83\/903 - -1\/301. Let s(k) be the first derivative of u*k**3 + 0*k - 1\/7*k**2 - 1. Determine q so that s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8928 - -8928.000001517. What is f rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15691948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 + 4 = -4*m, -3*k + 2*m = 5. Let t = 137 + -131. Let f be (-42)\/(-18) - 2\/t. Put 5, f, k in increasing order.\nAnswer: k, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194727.\nAnswer: 3, 13, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18408\/(-2124)*6\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - ((188 - 232) + 83 + -4).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 339*g**2 + 1738*g + 2165. Give p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 318515?\nAnswer: 318515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (0 + 24235))*(-6)\/10?\nAnswer: 3, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*l**5 + 24*l**2*r + 425*l*r wrt l?\nAnswer: 280*l**3 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(-2*b + 2*b - b) - b + 3 - 3)*(-13 - 4*b**2 + 13) - 3*b**3 + 0*b**3 + 4*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 4494270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f. Suppose f = -3*q + 26 + 25. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 68 = 5*m, -74 = 3*m - 8*m + 4*b. What is the tens digit of (-429)\/(-21) + (-6)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34145 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 9*d**2 + 11*d + 13. Give o(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x*x**(-2\/35)))*x)\/x**6)\/(x**6*x\/(x\/(x\/(x\/(x\/(x**(4\/3)*x))))*x)) assuming x is positive.\nAnswer: x**(-706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:26 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 - j**3 + 4*j**3 + j**2)*(-164 + 34*j + 164)*(0 - 3 + 1) to n*j + m*j**3 + l*j**4 + w*j**2 + a and give l.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 2*f - 14 + 31 - 11.\nAnswer: -2*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 3*i - 17, 33*b - 115*b - 326 = -2*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 3515745*o**3.\nAnswer: 5*o**3*(o - 703149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l)\/l**8*(l\/(l\/(l*l**0)*l))**(19\/4)*((l**(-2\/5)*l)**(-2\/13))**(-3) assuming l is positive.\nAnswer: l**(-177\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5674 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043003 - 11220?\nAnswer: 2031233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7663 and 582?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = r + 26. Suppose r*k + 207 = -s + 1042, 3*k + 3340 = 4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, 30, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 2*n**5 + 4*n**2 - 260630*n**3 - 1350*n**5 + 260630*n**3 + (n**2 - n**2 - n**4)*(2*n + 2*n - 5*n).\nAnswer: -1347*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t + 4*t - t + 4*t - 4*t + 2*t + 3*t - 4*t + (-3 - 3 + 4)*(t + t + 0*t) + 0*t + 4*t - 2*t - 1051*t - 1205*t - 2235*t + 613*t.\nAnswer: -3879*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5101226 divided by -392402\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*j**2 - 85*j**2 - 28*j**2 - 70*j**2.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 288\/896*8\/435. Let y = 53891\/16240 - l. Find the common denominator of (-2)\/(-8) + (-16)\/5 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 + 5*j**2\/2 - j + 2. Let k be t(-4). Let c = k - -13. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*x - 3, -3*x - o = -3*o + 6. Let z = 5 + -29\/6. Which is the nearest to x? (a) -0.3 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(252) + 2 + sqrt(252) + 2 + 4)**2 - (-6*-6*(sqrt(252) - (1*sqrt(252) + 2)))**2) + -1.\nAnswer: -4096 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 20*m**2 + 35*m - 8. Give k(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 0*c + 4*c)*(-1245*c - 1243*c - 71 + 2490*c) to z*c**2 + i + l*c and give l.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f**2 - 2*f + 2. Let q(o) = 3*o**2. Give s(q(y)).\nAnswer: 198*y**4 - 6*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {u: 1, b: 11, z: 7}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*x - 42*x - 270 = -98*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + 9. Suppose 4*u = x*p - 26 + 10, -2*u = 3*p - 28. Solve -5*t - p = -23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqqssss. Give prob of sequence qsq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 2*m**2 + 2*m + 1. Let k be t(-1). Let r(c) = 2*c + 3 - k*c - 2 + 3. Let y be 2059\/290 - 1\/10. Determine r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2436)\/6090)\/(12\/310)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 3. Let x(o) = -o**3 + 18*o**2 - 16*o - 4. Let b be x(17). Let a be 2\/(-6) + b\/3. Let n(q) = q**2 + 2. Give a*j(y) + 5*n(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4257 (b) 0.4 (c) 4 (d) 365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20503*f + 6*f**3 + 0*f**3 + 20597*f in the form k*f + s + c*f**2 + z*f**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/11 (b) 1 (c) 2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5857 is divided by 255?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000567 to six decimal places.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -712, -2511, -5508, -9697, -15072, -21627, -29356?\n\"Answer: b**3 - 605*b**2 + 9*b - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g**2. Let b be (18\/5)\/3*10. Let f(t) = -b*t**2 + 21*t**2 - 5*t**2. Give f(o(n)).\nAnswer: 576*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20999 - 20774. Which is the third smallest value? (a) f (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p + 5. Let l(g) = -4*g - 3. Let h(t) = 5*l(t) + 3*u(t). Let w(b) = -b - 6 + 17 - 11. Determine w(h(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14366911 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 826, 1648, 2468, 3286?\n\"Answer: -o**2 + 825*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 - h**2 - h**2 - 2 + 9*h**2 wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from iitpiiiiiipihiitntp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 - 19*d - 86. Determine j(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/3 - 220*t\/3 - 12000 = 0. What is t?\nAnswer: -90, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -49*n - 17. Is g(-4) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.575 + 41. What is d rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 16*z)*(4 - 4 + z)*(-2*z**3 + 0*z**3 + 0*z**3).\nAnswer: -32*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1054, -2, 4, -8 in increasing order.\nAnswer: -1054, -8, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2165 divide 1340194886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22464 by 108.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2231132123 (base 4) to base 11\nAnswer: 44593a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*25\/(-80)*-4. Let f = 1.2 + -0.2. Sort f, 2\/3, n in increasing order.\nAnswer: 2\/3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*y - 18 = 0, -16 - 96 = -4*d + 2*y. Calculate the lowest common multiple of 24 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-8 - (-3 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10972.8 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:20 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = 2*q, -4*q - 3*g - 31 = -1. Which is the closest to q? (a) -1 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2382464 millimeters to kilometers.\nAnswer: 0.0000002382464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12049?\nAnswer: 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*p + 80 = -236*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4 + 46154*z**3 + 1936116*z**2 + 27094648*z + 126416080 = 0.\nAnswer: -23035, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*y - 51*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-1)\/(-6) + 185\/111.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369*v + 183*v + 188*v)*(73*v**2 + 5*v**3 - 73*v**2 + (2*v**3 - v**3 + v**3)*(1 + 4 - 3)) + (2*v**3 + v**3 - v**3)*(-v + 0 + 0).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 46594367?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 27. Let f(j) = 3*j + 0*j - j. Let s(n) = -2*n - 1. Let h(w) = m*s(w) + 4*f(w). Differentiate h(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19988 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/5 (b) -3\/8 (c) 0.5 (d) -15 (e) 3 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18190302 by 6927.\nAnswer: 2626","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, o: 1, a: 6, j: 2, g: 2}. What is prob of picking 3 a and 1 e?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 3*g + 343 - 408 = 0. Which is the smallest value? (a) 0 (b) 4 (c) g (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 + -186. Solve -j*w = -5*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1307?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**3 + 29*k**2 - 329*k - 163. Give j(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1642 + -1697. Let n = 7\/2 - 4. Which is the biggest value? (a) n (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3. Let i be u(-4). Suppose x + 5*w - 3*w = i, 16 = x + w. Let a = -24 + x. Sort 5, a, 0.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291637 is divided by 166?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {v: 2, e: 1, z: 1, m: 3, d: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2091 + 581. Let h be -5 - -2 - y\/(6 + -1). What is the highest common divisor of 23 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let n(j) = 3*j + j**3 + 0*j - 4*j**2 - 13 + 14 - d*j. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12200 - -213?\nAnswer: 12413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28748 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5555 + -399949\/72. Let m = 450703\/709758 + -1\/11266. Find the common denominator of m and f.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -11\/23, 4, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m\/(m\/((m**6*m*m)\/m)))*m*m**(5\/3)*m*(m\/m**2)\/m**(-4\/5) assuming m is positive.\nAnswer: m**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -287275\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**3 + 210*k**2 + 2400*k + 4000 = 0?\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -4*w + 2*i, -5*i + 84 = 2*w - 93. Let y(n) = -4*n + 3 + 0*n - 2*n + 5*n. Let o be y(-9). What is the greatest common divisor of w and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 + 122. Solve -l*y = 2*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43\/4 + -21\/2. Let s = 0.039 - 0.439. Sort s, 2\/7, i.\nAnswer: s, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 14 = 4*a, 4*a + 65*n - 38*n = 61 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, -1, -3255, -4, -2\/187?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*o - 905*o - 35 - 50*o**2 + 35 - 64*o**2 wrt o.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s**2 - s + 1. Let b(d) = -3783*d**2 + 5*d + 4406. Let f(l) = b(l) + 5*r(l). Find the first derivative of f(q) wrt q.\nAnswer: -7686*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14617, 12621, 10625, 8629, 6633?\nAnswer: 4637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3486700.\nAnswer: 2, 5, 7, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -5015271?\nAnswer: 5015267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:14 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52535, 52430, 52325, 52220, 52115?\nAnswer: 52010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3021 + -3021.2. Let v be 1*(7\/2 - 4). Let p = 10 - 22. Which is the closest to p? (a) 2\/13 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 10 = 5*a. Sort a, 4, -6 in descending order.\nAnswer: 4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011077 not equal to 6011075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -281, -292, -319, -368, -445, -556?\n\"Answer: -k**3 - 2*k**2 + 2*k - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-1))\/(1\/(-24)). Suppose 4*m - 2*m - c = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.56 + 0.56. What is the third smallest value in -5, 4\/7, 3, o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.606 + -41.1. Let w = i + -0.006. Let x be 0 - ((-4)\/5 - -1). Which is the closest to 2\/5? (a) w (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114.7688 - -119.77. Let c = g - 5. Round c to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*d + 4*u, 4*u - 138 + 126 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2075 is divided by 1002?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23236753*j**2*u - 9*j*u + j - 84498*u - 3 wrt j.\nAnswer: -46473506*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 37, 0, 10, -9 in descending order.\nAnswer: 37, 10, 0, -9, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/345 and 64\/585.\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/9 + 2\/12. Let u = 0.017492 - 0.117492. Which is the closest to -1? (a) -2\/15 (b) u (c) 33 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*5*(sqrt(192) + -1 + sqrt(192) + 5))**2 + -1.\nAnswer: -39201 - 6400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/43, 18, -2\/118277 in ascending order.\nAnswer: -2\/118277, 2\/43, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 80 + 185 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125859 is divided by 127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + h**3 - 3202702*h - 3*h**3 - 4*h**3 + 3202702*h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3*i = -t - 7, 2*t + 4*i = 8. Suppose t*r = 2*b - 5*b - 2, 0 = -2*b - 8. Suppose -j + r*j = 8. Solve -2*z = j*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16052905327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -727, 31, -5, -2, -24 in descending order.\nAnswer: 31, -2, -5, -24, -727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14)\/(t\/((t*t**16\/t)\/t*t)))\/(t**(1\/3)\/t)**(-4\/7) assuming t is positive.\nAnswer: t**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40266611*m**3 + 32696032*m?\nAnswer: 241599666*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, 0.5, 2, 1\/7 in descending order.\nAnswer: 2, 0.5, 1\/7, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*10\/4425*441\/(-252)*5\/(-7).\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 0) + (-101 - -109)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 3\/4, -0.1, 0.1.\nAnswer: -0.4, -0.1, 0.1, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 3*z - 3 + 2*z. Determine f(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1378, 5492, 12338, 21910, 34202, 49208, 66922, 87338?\n\"Answer: -y**3 + 1372*y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -22. Let j = x - -4.1. Let q = 9.6 - -4.4. What is the biggest value in q, j, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50, 36, -4, -82, -210, -400, -664?\n\"Answer: -2*k**3 - k**2 + 3*k + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**3\/3 - m**2 + 2*m - 4. Let z(u) = 3*u**2 - 9*u + 9. Give -9*y(s) + 2*z(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520) + -4*-2*sqrt(3520))\/(sqrt(110)\/(-1*sqrt(10)*1)).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1074100 = -1422*v + 1372*v. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:06 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivxxivvxivvi. Give prob of sequence vxv.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86602971 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -54.2. Are a and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:52 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2*5\/(-10))*90\/(-2295).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and -4.1.\nAnswer: -221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-3)\/(-2))\/((-20)\/(-7960)). Is 197 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322246 (base 8) in base 10?\nAnswer: -369830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5013 less than 0.06?\nAnswer: -5012.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -31. Let n(p) = 10 - i - 13 + 3*p**2 - p**2. Calculate n(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2980?\nAnswer: 2980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30)*5)\/(2\/(-12)*-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 186\/2083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*z - 2*m, 0 = -5*m + 22 - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1252\/43407 - 2\/689. Let u be (-537)\/945 + 1 + 0. Let l = o + u. Is 0.04 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:33 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144951917.\nAnswer: 11, 1289, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 480468*n**2 - 475960*n wrt n.\nAnswer: 960936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y = 8. Suppose 12 - 60 = -y*l. Let s(x) = x + 6. Let j be s(-4). Solve -4*v + j*q + l = -v, 5*v + 2*q = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319563 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/24)\/(-9) - 6\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, -389, -2066, -5631, -11714, -20945?\n\"Answer: -105*z**3 + z**2 + 313*z - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/(-4) - 1)\/(3210\/(-2140)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-117))\/(400\/(-135) - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 62. Determine w(-28).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 56, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 635 = -94*y + 4048 + 6058 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 4*h - 2. Let m(p) = -7*p**2 - 11*p + 7. What is -4*m(a) - 11*v(a)?\nAnswer: -5*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**3 - 12*t**2 - 39*t + 7. Let c(u) = -9*u**3 - 10*u**2 - 39*u + 6. Calculate -6*c(m) + 5*i(m).\nAnswer: 4*m**3 + 39*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -700241*l**4 + 749778?\nAnswer: -2800964*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 5900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 5978.\nAnswer: 53802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*q**2 + 1704*q**2 + 1702*q**2 - 5126*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -33 (c) 1\/4 (d) -3 (e) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6200.5*-1.\nAnswer: -6200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2. Let s(c) be the third derivative of c**5\/30 + c**4\/3 + 150*c**2. Determine s(j(h)).\nAnswer: 8*h**4 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g - 239. Let d be q(-30). Sort d, -2, -0.6.\nAnswer: -2, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = -31 + 178 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:23 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*h - 3*h. Let d(v) = -v - 4. List the prime factors of d(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52801195 to the nearest integer?\nAnswer: 7266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 15 (c) 0 (d) 1 (e) -0.5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -34. Suppose 91*s - g*s = 132. Is s a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 3\/7 (b) 0 (c) -0.2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11112, -22258, -33406, -44556, -55708?\n\"Answer: -t**2 - 11143*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a**(1\/3))\/(a\/(a**1\/a*a))**21*(a*a**0*a*a**(7\/3))**(-39) assuming a is positive.\nAnswer: a**(-506\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*8*-1 + -2. Let o(f) = -9*f**3 - 2*f**2 - 7*f. Let l(i) = 5*i**3 + i**2 + 4*i. What is x*o(d) + 11*l(d)?\nAnswer: d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 4327*s**2\/3 + 1693856*s + 282586368.\nAnswer: (s + 199)*(s + 2064)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(18) - sqrt(216)\/sqrt(192))\/(sqrt(90)\/(sqrt(10) - 6*sqrt(1000))).\nAnswer: 3599*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000541246531 rounded to six dps?\nAnswer: 0.000541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.3807 kilograms in nanograms?\nAnswer: 785380700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6993.2618 rounded to the nearest integer?\nAnswer: -6993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(91)*3 - sqrt(91)) - (-1*-1*sqrt(91) + sqrt(91)))\/(-3*sqrt(7)*4 - sqrt(847)*2).\nAnswer: 4*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14658, -29041, -43424, -57807, -72190?\nAnswer: -86573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 17. Let i = 27 - -38. What is the highest common divisor of r and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/5)\/(5\/(-150)). Let h = -29 + s. Put 6, 2, h in ascending order.\nAnswer: h, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 177567 = 36*l + 27*l. What is the greatest common factor of 314 and l?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -24 (c) 187 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -26. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(2))\/(3*(sqrt(7) - (sqrt(7) + sqrt(28)\/sqrt(4))) - sqrt(7) - sqrt(7)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 - 543. Let c be g\/(-14) + 4\/(-14). Solve 0 = 4*j + 1 + c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3149825 and 0.7.\nAnswer: -2204877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 21*w**2 - 32*w + 189. Let a be c(11). Is a at most -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2549*g**3 + 1591*g + 8258741 with respect to g.\nAnswer: -7647*g**2 + 1591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 37*i**2 - 38*i + 70. Determine l(-38).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = 0. What is the third biggest value in b, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2068*k**2.\nAnswer: -2068*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 55 = 9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 5, s: 3, w: 2, z: 7}. What is prob of sequence js?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1)\/2 - (-45)\/6 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(5\/9)*(y\/(y*y**2\/y))**(-32) assuming y is positive.\nAnswer: y**(298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - 7*i**2 + 8*i - 13. Let p(b) = b**3 + 4*b**2 - 4*b + 6. Let f(y) = 4*m(y) + 7*p(y). Let o(j) = 14*j**3 - 11*j + 29. Give 17*f(n) + 6*o(n).\nAnswer: -n**3 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 4 (c) 0.93 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 3. Let c be u(0). Let n = c + 3. Let x = 168 - 90. What is the greatest common divisor of x and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**5*x*x*x**(-1))**(2\/17) assuming x is positive.\nAnswer: x**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 9. Let z be k(4). Suppose z*c = -2*j - 0*j + 15, 2*j - 5 = 5*c. Let u be (-2)\/(-9) + (-210)\/(-27). Solve -p - u = -j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16819, 17031, 17227, 17401, 17547, 17659, 17731, 17757?\nAnswer: 17731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -19067 (c) -2\/27 (d) -0.1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 - s - 2. Let z = -499 + 501. What is the least common multiple of w(-4) and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + s + 100, -3*s + 36 = 2*b. Find the first derivative of 32 + 32 - z + 39 - 2*z - b*z**2 wrt z.\nAnswer: -48*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**2*k - 65*b*k**2 + 675*k**2 + 2*k wrt b?\nAnswer: -12*b*k - 65*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 757.6218 nanoseconds?\nAnswer: 0.7576218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370708484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 65 - 43*m - 65.\nAnswer: -53*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/9*(-1)\/(-8)*6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) 44\/7 (c) 122 (d) -7 (e) -0.3 (f) -0.4 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2 - 5*r - 4. Let n be d(-3). Let c = n + 33. Let w = 59 - c. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*t + 6 = -4*t, 0 = 5*k - 5*t - 25. Is k\/(-10) + 4*(-708)\/(-80) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 14640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 3*r + 25. Let y(d) = -7*d**2 + 5*d + 50. Suppose -o + 0*o - 3*u = 3, 5*o - 3*u - 21 = 0. Let t(b) = o*y(b) - 5*h(b). Is t(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44567 is divided by 4049.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1*sqrt(704)*6 - (sqrt(704) + -1*sqrt(704) + -3))*1 + 2 + -3)*-2 + 2)**2.\nAnswer: 1920*sqrt(11) + 101476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -76. Let p = -1 - 3. Which is the nearest to x? (a) 0.3 (b) p (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**3 + n**2 + 8*n**3 - 16*n**3 - 3*n as y*n**2 + c*n**3 + v*n + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from hqhhaqhqaaqhhha?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, r: 3}. What is prob of sequence rn?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - s = -22, 2*s = a - 3*s - 20. Let f be a\/((-10)\/4) + 7. Let z be 3 + -3 + (-15)\/(-5). Solve -f = -z*y + 4*u - 28, -2*u = y + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u**2 - 3*u)*(-2*u**3 - 2*u**3 + 5*u**3) + (-2*u**3 - 7*u**2 + 7*u**2)*(6*u**2 + u**2 - 3*u**2) + 0*u**5 + 2*u**5 + u**5.\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 13, j: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:32 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15179212?\nAnswer: 2, 31, 163, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 11. What is the tens digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749 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 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3993, 3991, 3989, 3987, 3985?\n\"Answer: -2*f + 3995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 - 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 + 155 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 + 0)*(-30)\/(-2). Suppose -j + m = 2*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and 0.4525.\nAnswer: -0.2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let j be -2*2\/(-4) + 1. Suppose 8*m - 9 = -j*u + 3*m, 3*m + 3 = 3*u. Which is the biggest value? (a) u (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 9 (c) 1 (d) -0.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*c**3*x - a*c**2*x**3 - a*c*x**2 - 448*c**4*x - c**3*x**3 - 2*c**2 wrt c.\nAnswer: -12*a*x - 10752*c*x - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-201)\/3*(-1 + -2 + -6). Find the third derivative of -16*g**3 - 19*g**2 + d*g - 603*g wrt g.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 25. Calculate the remainder when -246*35\/10*(-4)\/28 is divided by y(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -16, 44*z - 45*z - q = -8. Solve 17*y - 21*y - 3*r - 11 = 0, z*r + 24 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*b - 3*j, 5*b - 5085*j + 8 = -5082*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361898.\nAnswer: 2, 180949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/135 - 146604\/(-45).\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -s - 19, -25 + 0 = -5*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3587, 3603, 3619, 3635, 3651, 3667?\nAnswer: 3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j = 159 - 7929. Let x = 97 - 67. Calculate the greatest common factor of j and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/13261 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/10*56\/(-40) + 4. What is the second smallest value in 1, f, -4, 0.37, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 10. Suppose 5*p = 4*f - 27, d*f - 4*p = 3*f - 12. Suppose f*w = 3*w + 65. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5\/2 (b) -3\/2 (c) 1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 7, c: 4, x: 6}. Give prob of picking 1 c and 2 x.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1d6a + 0?\nAnswer: b1d6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65\/228 + 2\/57. Let y be (-4)\/15*25\/(-15). Put 0.2, f, y in decreasing order.\nAnswer: y, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 2*f - f + (7 - 29 + 17)*(-8 + 3 + 45)*(-2*f - 3*f + 3*f).\nAnswer: 398*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u. Let p be ((-6)\/55)\/(2\/20). Is u smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) - (-5)\/(-50)*-52. Solve 0*i - 12 = 4*d - 2*i, g*d + 15 = 5*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/3 - 84*y**3 - 11300*y**2 - 972500*y\/3 - 2875000.\nAnswer: 4*(y - 138)*(y + 25)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - t**3 + t**3 - 2*t**3 + t**3 + 0*t**3 + (-1 - 2*t + 1)*(-3*t**2 - 2*t**2 + 3*t**2) + (-1 + 1 + 2)*(2*t**2 - t**2 + 0*t**2)*(-t - 4*t + 4*t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 864 - 864. What is the nearest to 1\/4 in -2, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1892*f**3 + 1. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32513 or 74\/159?\nAnswer: -32513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 0.3 (c) -686 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2145 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214.5 in 5, -4\/9, 0.09, -39, -1.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 14*u**2 - 35*u + 72. Let f be n(11). Solve -4*i = 46 - f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.85191 nanometers to kilometers.\nAnswer: 0.00000000009485191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11341298.77 rounded to the nearest 1000?\nAnswer: -11341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = -44*y. Let 2\/7 - 4\/7*v + y*v**2 + 4\/7*v**3 - 2\/7*v**4 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65714 and 71688?\nAnswer: 788568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4) + 63\/(-12). Let w be 9 + a + (-2514)\/(-33). Let i = -80 + w. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0 - 42*b + 38*b - 1 - 3*b**3 + 2*b**3. Let s be j(3). Is (-1670)\/s + 6\/(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - 1.99. Let t = d + 1.9. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(567) + -3 + sqrt(567) + sqrt(567)*1 + -1)**2.\nAnswer: -162*sqrt(7) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*v**2 + 8\/7*v + 2\/7.\nAnswer: 2*(v + 1)*(3*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + 2 - 2. Let k = 0.16 - 3.16. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 408777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 66, 1, -79.\nAnswer: -79, -4, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -4 + 9\/(-27)*9. Let f(u) = -u**2 - 3*u - 2. Determine f(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(325)*2.\nAnswer: -2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3234*p*u**3 + 47*p*u**2 + 11*p*u - 8*p + 2*u**3 - 41*u**2 + 50809*u wrt u.\nAnswer: -19404*p*u + 94*p + 12*u - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16662334259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(8125\/13))\/(53\/(-41075)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91521740.039976 - -91518710. Let o = j + 3030. Let n = o + 0.04. What is n rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.1, 5\/14, 254\/9, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33617, 33610, 33603, 33596?\nAnswer: 33589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/10*325\/520.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1926766201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9028862\/35 - 257986. Let o = -37277\/140 - c. Let d = o + 246. Is d at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1633189018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -17913 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**3 - 34*s**2 + 34*s**2)*(s - s - 2*s + 3) + (-2*s + 2*s - s)*(2*s**2 - 2*s**3 - 2*s**2) + 4 - 4 - s**4.\nAnswer: -15*s**4 + 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351513 + 18475*n + 351513.\nAnswer: 18475*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p - 69932859*p**2 + 69932855*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 966304387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/(-20)*((-80)\/(-3))\/2. Let z be 34\/10 + w\/75. Solve -b + 4*b + 5 = -5*h, -2*h - z = b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 17. Let u be (-51)\/85 - (-6696)\/w. Suppose 0 = 4*d + 2*z - 3*z - 2693, 0 = -d - 4*z + u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58\/39 - 15\/13. Let v = 0.03 - -0.17. Which is the third smallest value? (a) -4 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.189 - 0.54. Is 1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:16 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-k + 4*k - k)*(0*k - k + 3*k) + 3*k**2 + 2*k**2 - 3*k**2 + 0*k**2 - k**2 + 0*k**2)*(k - 3*k + k) as j + q*k**2 + m*k + f*k**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x + 204 = -38*x. Suppose 19*a - x*a = 24. What is the smallest common multiple of a and (-285)\/(-12) + 2\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 1, v: 1, n: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 + 16 - 3*-2. Suppose 6*p + t = -8. Let l(r) = -r - 2. Let x(d) = -2*d - 6. What is p*l(b) + 3*x(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/12*16*8\/(-24). Solve -9*x = -4*x + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*x = 2*x + 5, 5*c = -x - 17. Sort c, -3, 6 in increasing order.\nAnswer: c, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1291.79321 to the nearest 10.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1808, -3616, -5422, -7226, -9028, -10828?\n\"Answer: t**2 - 1811*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(2\/5)))**(-26)*m\/(m\/m**(-1\/13))*m\/(m**(1\/3)*m) assuming m is positive.\nAnswer: m**(-2108\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705 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: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*g - 2*g + 230, -5*g + 575 = -4*n. List the prime factors of g.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176213 - -286311. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(21)\/sqrt(3) + 1)**2 + -1*sqrt(252) + 4 + 4 + 0 + sqrt(567) + -4.\nAnswer: 12 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -17*m**3\/2 + m**2\/2 - m. Let j = -7177 + 7176. What is the units digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -435047 to the nearest one thousand.\nAnswer: -435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**10*j**(-6))\/(j**(-1\/22)\/(j\/j**17)))**(-32) assuming j is positive.\nAnswer: j**(4208\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {p: 2, c: 11, r: 2, v: 1}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-3 + 2)*29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/48*(-984)\/(-32))\/(-2 - -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12624664 (base 7) in base 2?\nAnswer: -100011100101101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -189*w**2 - 7*w - 3. Let i be s(-6). Let n be i\/27 - 1 - -1. Let l = -251 - n. Which is the closest to -0.2? (a) -4\/5 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -16) + -20 + (3 - 5 - 9 - -4)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1144 + -1129. Which is smaller: q or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b*b**0\/b)\/(b**(-6)*(b*b*(b\/b**(-6))\/b*b)\/b) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -560*x - 882*x + 245*x to u + f*x and give f.\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**5 - 12990*k**4 - 28*k**6 - 2*k**5 - 141 + 12990*k**4 + 2*k**2 wrt k?\nAnswer: -3360*k**3 + 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 26*s**2 - 242*s - 14. What is the least common multiple of w(16) and 554?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/((-12)\/(-18)). Suppose 0 = g - j - 4, 2*g - 9 = -0*g + j. Is p < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 5. Let l = a + -2. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71247.\nAnswer: 3, 11, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/7)\/(5\/70 + (-6525)\/6300)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 177 - -69) + 20?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735 = -69*p - 1390 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-3) + 12\/2. Let d be (q - -2) + -2 + 0. Suppose 0 = 2*h + 2*h - d. What is the highest common factor of h and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k**2 + 8*k - 8. Let z be (-2)\/(-12) - 210\/(-36). Let p = -2 - -5. Let a be p - z - (-1 + -1). Let l(i) = -i**2 - i + 1. Give a*h(r) - 8*l(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 1, y: 2, u: 4, d: 4}. Give prob of sequence juuu.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 90862*h - 1635479. Determine d(18).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-13))\/((-15)\/390)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 241. Let d be s(0). Let v = d - 120. What is the highest common divisor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. Let b = -12 - t. What is the lowest common multiple of (-4)\/(-10) - 66\/b and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 29*d**2 + d. Let c be (1 - 0)\/(4\/4). Is t(c) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -13*v - 46 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6455 and 10.\nAnswer: -6445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*n = 2420, 2*a = a + 3*n - 480. Let x be a\/(-14) - 5*(-6)\/105. Suppose -c = -4*q + 725, -225 = -q + 2*c - x. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -5053755?\nAnswer: 5053759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1820 by 455.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4393, 4306, 4169, 3976, 3721, 3398, 3001?\nAnswer: 2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 101?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q + 101. Let w be m(7). What is the third derivative of p**4 - 4*p**2 + 3*p**2 - 9*p**2 - p**2 + 13*p**w + p wrt p?\nAnswer: 24*p + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 7*g**2 - 7*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 584 divided by -584\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1233030323 - -1?\nAnswer: -1233030322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)*m**4\/m*(m*(m\/(m\/m**(5\/4))*m)\/m)\/((m\/(m\/((m*m\/(m*(m\/m**8)\/m))\/m)))\/m))**(-7\/10) assuming m is positive.\nAnswer: m**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29664 and 62496.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51224 - 1522500935.\nAnswer: -1522449711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 36\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 - 10661*q**2 - 385024*q - 727396 = 0 for q.\nAnswer: -34, -2, 10697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24223 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11bb1 (base 13) in base 5?\nAnswer: -2022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 8)\/((-2)\/14). Let u = 0 + a. Suppose 0 = 3*l + 5*r - 21, 5*l = -r + 2*r + u. Solve -c - 8 - 1 = 3*x, 2*c + l*x = -6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101110110000 (base 2) in base 10?\nAnswer: -23472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*w - 56*w + 21*w**5 + 29*w**5 wrt w.\nAnswer: 1000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3 + f + 0*f + 0. Suppose 0 = 9*m + 124 - 43. Let t(o) = -2*o + 7. Let s(c) = m*n(c) - 4*t(c). Differentiate s(q) wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.425ng in tonnes?\nAnswer: 0.000000000000582425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1728 and ((-549)\/108)\/(-61)*-214?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*h - 3. Let j(o) = 4*o**2 + 9*o - 5. Let g(k) = -6*k**2 - 14*k + 8. What is h*j(n) + 5*g(n)?\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3235412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9f2 (base 16) to base 4\nAnswer: -213302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**7\/945 - 61*b**6\/540 - 397*b**5\/270 - 335*b**4\/108 + 158*b**2 - 2*b - 14. Find y, given that h(y) = 0.\nAnswer: -5, -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69178268 + 5262*r - 69178268)*(-3*r + r + r) to the form i + c*r**2 + w*r and give c.\nAnswer: -5262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**2 - 344*f + 2286. Determine x(-44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1212 + -1189. Suppose 39*m - 55 = b. Factor 0 + 2\/11*p**3 + 4\/11*p**m + 2\/11*p.\nAnswer: 2*p*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -5*q**4\/6 - 10*q - 5. Let b(s) = -2*s**2. Give b(c(j)).\nAnswer: -200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + 3*o - 5. Let g = 0 + 1. Suppose 0*l + g = -l. Let b(q) = -1 + 2*q**2 + 2*q - 3*q**2 + 0*q**2 - q. Calculate l*k(f) + 5*b(f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Suppose 5*u = 2*v + 1034, u - 636 = -2*u - j*v. Suppose 4*d = 3*d - 5*i + 43, 2*i - u = -4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 552 = -0*x. Suppose 7 = f - x. Let g = f + -190. What is g rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 11*x + 149 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 12331?\nAnswer: 86317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 - 2055*q - 3*q**3 + 48*q**4 - 2904 - 1410*q**2 - 2245*q + 472*q.\nAnswer: -3*(q - 11)**2*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1880*t + 1415*t - 178 - 2074*t + 178 to j + z*t and give z.\nAnswer: -2539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 7*d**2 - d**2)*(-2*d + 138*d**2 - 8*d - d**3 + 13*d).\nAnswer: 10*d**5 - 1380*d**4 - 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 30*j - 29. What is u(-6)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 = m - 424 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*2)*-5 + 1*(2*sqrt(70) + sqrt(70) - sqrt(70)))\/((-2*1*sqrt(70))\/sqrt(7)).\nAnswer: -7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*v**3 + 0 + 18\/7*v**2 - 40\/7*v.\nAnswer: v*(v - 2)*(v + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 86 = 3*b. Let p be 128\/b*(6 - 165\/10). What is the greatest common factor of 56 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2 - 390730720*a + 19083811943964800 = 0.\nAnswer: 97682680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3633154\/(-10) - (-2)\/5. Let y = p + 88330. Let n = -152985 - y. What is n rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 39. Suppose -4*p + 5*g + 237 = m, 0 = -4*p + g - 0*g + 217. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3 - 28*g**3 + 2*g**4 - g**5 + 33*g**3.\nAnswer: -g**3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p + 7. Let k(s) = -6*s - 2. Suppose -v = 421 - 435. Give v*k(x) + 4*j(x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -680*d - 11. Let i(b) = 1021*b + 17. What is -5*i(p) - 8*z(p)?\nAnswer: 335*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + n + 7 = 3*z, 3*n - 11 = -2*z. Solve -2*i + 0*i - z = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61835?\nAnswer: 5, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20*(0 + (-4)\/10). Suppose 0 = -o - 10 + m. What is the second smallest value in 5\/4, o, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*d + 444, 5*d + 607 = 3*r + 173. What is the fourth biggest value in -3\/7, 0.02, d, 2\/7, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0177912697 rounded to six dps?\nAnswer: 0.017791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 + 648*j**3 + 10692*j**2 - 1411344*j = 0 for j.\nAnswer: -99, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/5 - r**4\/6 + 5*r. What is the third derivative of f(x) wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 - -16534.377\nAnswer: 16586.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5\/7 - 1488*o**4\/7 - 82716*o**3\/7 + 84200*o**2\/7 = 0.\nAnswer: -50, 0, 1, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 11*z**2 - 8*z + 3. Calculate m(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from {g: 19, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*y + 2 - 12*y**4 - 6 to the form a + x*y + u*y**3 + m*y**2 + n*y**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + 3*sqrt(171) + 4 + (5*sqrt(171)*-2 - sqrt(171)).\nAnswer: -24*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 20*a - 1. Let p(c) = c**2 + 3*c - 723. Let j be p(0). Let l = 777 + j. Calculate the remainder when l is divided by n(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273476 = 21291*p + 2423867 for p.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from suuuaualsluuuaalat.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 211859 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.017 * 5\nAnswer: 15.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*g = 20, -4*w - 8 = -6*w + 4*g. Let h be 8\/20*(-12)\/w. Let z be -1*1 + (-6)\/(-10). Which is the second smallest value? (a) z (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1686787 (base 9) to base 10.\nAnswer: -943243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 2*r - 2*r + (-2*r**2 + 2*r**2 - 3*r**2)*(3 - 2 - 2)*(11 - 3 + 8)*(-4*r + 5*r + r) + r**3 + 2*r**3 - 2*r**3.\nAnswer: 94*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/9096 and 56\/45?\nAnswer: 136440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000037772 to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -37.3. Let m be 60\/(-12) + (-52)\/(-12). Which is the closest to m? (a) o (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:04 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 9. Let z be s(-6). Let c(m) = 3*m**2 - 2*m - 3. Determine c(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*h = 4*h - 14, -4*s + 5*h + 41 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007739 times -0.05?\nAnswer: 0.00038695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2964 and 57?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1491534 and 95\/16038.\nAnswer: 1491534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -27. Suppose 4*j + 4*x - 8 = 6*x, 0 = 3*j - p*x. Factor -s**3 + 1\/4*s**j + 0*s + 0 + s**2.\nAnswer: s**2*(s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -2*y**6 + y**4\/24 - 35*y**3\/3 + 51*y**2. Find the second derivative of g(w) wrt w.\nAnswer: -1440*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 402, 892, 1568, 2424, 3454, 4652?\nAnswer: 6012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-10) + 1\/2)*2079\/81?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 7*a = -275. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 w when four letters picked without replacement from vwvvww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1405241 (base 6) to base 15.\nAnswer: 185c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*w + 19. Let z(y) = -y**3 - 5*y**2 + 6*y - 3. What is z(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 70, 123, 194, 289?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19421481269095\/10717 + -1812212487. Let p = o - -2\/1531. Determine z, given that 24\/7*z**2 - 6\/7*z**3 + 0 + 8\/7*z - p*z**5 - 52\/7*z**4 = 0.\nAnswer: -1, -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9) - (-433)\/(-3). Suppose -7*n + 4*n = 651. Let x = y - n. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiihhhfhiilihlhh. Give prob of sequence fh.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109363, -218778, -328207, -437656, -547131, -656638, -766183?\nAnswer: -875772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -o. Suppose 5*x + o = -5*v, 20 = 4*v - 4*x - 4. Let c(z) = 6*z - 3. Let y be c(v). Calculate the highest common factor of 27 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5562 = -624*p + 570*p. What is the nearest to -0.2 in -4, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 95 - 73 - 148 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 236*x - 68*x - 33614 = -505*x for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 17*z - 77 - 41. Let r(p) be the third derivative of p**4\/12 - 3*p**3\/2 - p**2. Determine r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-5 + (4 - -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.64 - 1.14. Which is the second biggest value? (a) 0.06 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1432*k**3 + 4039*k**3 - 436*k**2 + 436*k**2 + 175*k**3.\nAnswer: 5646*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j*y*z + 15*j*z - 74*j - 268579*y**2*z + 5*y*z + 13*z - 5 wrt y?\nAnswer: -6*j*z - 537158*y*z + 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5*o + 9. Let d be w(3). Let v be (1 - -8) + -7 + d. Let k = 14 - v. What is the remainder when 15 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**4\/4 - 105*a**3\/2 - 417*a**2 + 20538*a + 42336 = 0.\nAnswer: -42, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 1\/2*k**2 + 0*k**3 + 0 - 1\/6*k**4 - 3\/5*k**5 + 4*k. Is g(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 3*j - 15 = 0, 4*j + 8 = -2*a. Let m(c) = -2*c**2 - 38*c**3 - 1 + 36*c**3 - 2*c - a - c**2. What is m(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2815, 0, 1 in descending order.\nAnswer: 1, 0, -3, -2815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -26, -67, -134, -233?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 4. Let d be o(3). Suppose 0 = -3*x - 1 - d. Let c be (-48)\/(-6) + -17 + 6. Put 0, c, x in increasing order.\nAnswer: x, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*f - 89 - 34. Suppose 5*z - f*q - 6710 = 0, 2*z - 1852 = -q + 843. What are the prime factors of z?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/95 and -79\/57.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:16 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111\/10 or 10?\nAnswer: 111\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 291*m + 8. Let x(n) = -n**2. Calculate x(j(p)).\nAnswer: -84681*p**2 - 4656*p - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*t**2 + 52*n**2*t - 2*n*t**2 + 278*t**2 wrt n?\nAnswer: 4*t**2 + 104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose -z*d = -5*g - 29, 4 = 2*d - g - 6. Let f = 0 + -3. Sort f, -2, d in ascending order.\nAnswer: f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17041*p**2. Let n(w) = 2*w**2 + 119. Calculate n(b(u)).\nAnswer: 580791362*u**4 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**4 - g**3 + g**2 - g - 1. Let q(k) = 3*k**4 - 2*k**3 - k**2 + 6*k + 6. Let c(h) = 6*i(h) + q(h). Find the third derivative of c(w) wrt w.\nAnswer: -72*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.4 + -13.2. Let j = -7 - f. Let x = 2.4 - 2. Which is the third smallest value? (a) x (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(110) + 3*sqrt(110)) - sqrt(110))\/(sqrt(10) - ((sqrt(10)*3 - sqrt(10)) + sqrt(10))*-6).\nAnswer: -9*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 11774492\nAnswer: -10597042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((67\/(-11) - -2) + 3)\/(-570 + 572)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22944121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 + -4a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5030636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 8:18 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x + 51. Let f(t) = 2*t. Let d(l) = 3*f(l) + o(l). What is the hundreds digit of d(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/3 and 41\/150849435?\nAnswer: 150849435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 1, w: 1}. What is prob of sequence nnw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 467*w = -4670, -o + w - 211 + 419 = 218 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223805945 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: What is the second biggest value in 1\/3, -2, -1, -1.89, -0.02, -0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 6. Let b(y) = y - 7. Let c(s) = 5*b(s) + 6*x(s). List the prime factors of c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + h - 2*h + 3 + 4*h - 8*h**2 - h**3. Is q(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Which is the biggest value? (a) -6 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672750.1ug in grams?\nAnswer: 0.6727501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - (-590 + 605 + 0 + -1 - 32).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 330 + 8584?\nAnswer: 10024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Suppose -2 - 2 = -4*z. Let m = -59 - -64. Let t(b) = -3*b + 1. What is m*j(n) + z*t(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30116400984 minus 4457?\nAnswer: -30116405441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2462.3 - -2290.481. Let r = 172 + m. Let j = r + -2.571. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.65 * -501.\nAnswer: -3331.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = u + 11 - 51, 9*s + u - 85 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4129 minus -0.0304?\nAnswer: -4128.9696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -2 + 1)*(-6)\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 - 5487*i - 26*i**2 + 10956*i - 5469*i.\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 113, -5.\nAnswer: -5, 2, 5, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*s + 45, -5*y + 66 = -4*s + 261. Suppose -1 = g, 0 = c - 2*g - 3*g - 78. Let d = y + c. Solve -12 + d = 5*w - 3*a, -10 = -5*w - 5*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -145*l**3 + l. Let j(t) = t**2 - 7*t - 7. Let c be j(8). Let b be r(c). What is b rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 40. Let y = 31 + -19. Is t bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*12\/(-6))\/((-28)\/(-16))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (sqrt(76)*3 - sqrt(76))\/sqrt(4)).\nAnswer: -16 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(10\/(-72)) + 1. Suppose -j = -4*k - 109. Let a = 15 - k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 6, 1599, -67, 2\/11?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15553746 divided by -132938?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -6. What is the units digit of ((-26)\/(-3))\/(4\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-6)\/4*94\/(-188)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:42 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 32 = -5*r - 107, -5*j - 55 = r. Let x = j + 18. Is 418\/x + 3\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/11 - 28*n**2\/11 - 150*n\/11 + 216 = 0?\nAnswer: -9, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -8*k**3\/23 - 62*k**2\/23 - 54*k\/23 = 0?\nAnswer: -27\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -11112102002001?\nAnswer: -11112102002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-9)\/(-45))\/(6\/(-105))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*n = 7*n - 90, -2*n = 4. Let f = y - -72. Suppose 0 = d + 4*c - 8, 2*d - 4*c + 15 = 31. What is the remainder when f is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.792587176 rounded to three decimal places?\nAnswer: -15.793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/7 - (-2436)\/49 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 3*u + 33. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1654 and 1653 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 3*q + 106667 - 106664, 2*q - 5 = 3*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -43. Let b(r) = -2 + 4 + r - w. Let x(c) = -2 - 12*c**2 + 2. Determine x(b(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let y = -9 - -9. Suppose -g - 3*h - 8 = y, 4*g = -4*h - 1 - 7. Determine j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n - 24*n + 660165 + 273021. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/9 (b) -1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 417, 835, 1253?\n\"Answer: 418*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2534088 is divided by 424?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:16 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46083 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: Sort 1, -4, -32, -2, 0.\nAnswer: -32, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 2\/7, -5\/4, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**10)\/v*v*v)\/v*v**(-8\/9))**(-1\/43)*v**(-2\/3)*v**(-1\/8)*v**(-1)\/v**(-3) assuming v is positive.\nAnswer: v**(3013\/3096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13360.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1411 - -2?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**28\/w)\/(w*w**(8\/3)))**28 assuming w is positive.\nAnswer: w**(1960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 3*j**2 + j. Suppose y + 4 = -y. What are the prime factors of z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 18. What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 131*s**6\/15 - 979*s**2\/2 + 496*s + 3. What is the first derivative of a(z) wrt z?\nAnswer: 1048*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*70618\nAnswer: 7061.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 minutes after 5:06 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r**3 - 15*r**2 - 15. Let k(n) = 4*n - 29. Let d be k(7). Let s(f) = f**3 + f**2 + 1. Determine d*o(v) - 15*s(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8444 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35153, 140282, 315383, 560462, 875525, 1260578, 1715627, 2240678?\n\"Answer: g**3 + 34980*g**2 + 182*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 924\/19? (a) -0.4 (b) -0.1 (c) 0.02 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-1\/34))**(-36)\/(g**(-1\/7)\/((g**(2\/7)*g*g)\/g))**(-1\/45) assuming g is positive.\nAnswer: g**(-2302\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*n - 5 = 0, -5*n = 6*t - 3*t - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18\/685 - -58301\/101380. Find the common denominator of s and 127\/666.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*i**2 - 63*i**2 - 68*i**2 + (0*i + 3*i - i)*(-2 - i + 2) to w*i + n + r*i**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0 (c) 1344\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*v - 25752*o + 2052 = -25755*o, 5*v - 92 = -3*o for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 779553 divided by -12?\nAnswer: -259851\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62276, 124556, 186838, 249122, 311408?\nAnswer: 373696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 2*x + 7. Let r be q(-3). Let l(w) be the second derivative of -1\/6*w**r + 0*w**3 + 0*w**2 + 0 - w - 1\/10*w**5. What is z in l(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1569 + 126c6?\nAnswer: 13c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13817319.\nAnswer: 3, 23, 43, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 753969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -4*n - 1190. Find the second derivative of 53 - 2*g**2 - 53 + 141*g - n*g**2 wrt g.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000193676 to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/60 + 13*a**2. Let d(l) = l + 9. What is w(d(i))?\nAnswer: -i**2 - 18*i - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/24 and 46\/1292651601?\nAnswer: 10341212808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 1310\/190 + -2. Let s = 209\/485 - 3\/97. Put -0.5, m, s in descending order.\nAnswer: s, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -202316, -202314, -202312, -202310, -202308, -202306?\n\"Answer: 2*b - 202318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/13655 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*r - 108 + 1428 = 0, 4*y = -r + 2682. Calculate the remainder when y is divided by 96.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-8) - (-2 + -2). Suppose -3*f - c*m = m + 2190, m + 2911 = -4*f. Let s = f - -1770. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 7*l**2 + 9*l + 12. Let h(q) be the first derivative of -1\/4*q**4 + 2*q + 3 - 3\/2*q**2 + 1\/3*q**3. Let a be h(2). Calculate i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/14*w**3 + 7*w - 1\/7*w**2 + 1\/210*w**6 - 3\/140*w**5 + 6 + 1\/84*w**4. Let f(d) be the first derivative of h(d). Factor f(j).\nAnswer: (j - 2)*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.288 or 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 84. Let o be z(36). What is the greatest common divisor of o and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -4 (c) 8\/5 (d) 51.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1037 + 1282. Calculate the greatest common factor of 294 and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/30 and 71\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.91231 + 1982994200.\nAnswer: 1982994202.91231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + 6 + -7)*1. Let a be 3\/18*-3 - (-17639993)\/j. What is a rounded to the nearest 10000?\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 10*k**2 - 13*k + 20. Let j be n(-9). Suppose 52 = -2*i + j. Let h(g) = -4020 + g - i*g + 4020. Let r(f) = -7*f. Give r(h(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u - 5. Let m(r) = 8*r + 6. Let s(p) = 5*m(p) + 6*t(p). Let k(f) = -3*f + 0*f + 8*f - 3*f + 0*f. Determine s(k(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + -30 + 21 + 12 + 33\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*p - 4, -8 + 2 = -3*b - 3*p. Let c(m) = 4*m + 4*m**2 + 3 - 3*m**2 - 4 + 2. Let s be c(-4). Solve b*g - 12 = 4*d, -2*d - 15 = -3*g - s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15031*b**6 - 33*b**2 + 2 wrt b.\nAnswer: -1803720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 3) + 17 + -15 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2446 - -3569. Let b = q + -361. What are the prime factors of b?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*p = -15, -7 = -4*v - 5*p - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -23)*4\/(-8). Let k be 12\/22 + (-115)\/y. Solve -k - 9 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, 0.01, -2834.62 in descending order.\nAnswer: 4, 0.01, -1, -5, -2834.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 + 1 + 0*l**2 - 2*l**4 - 7*l**4 + 2*l**2 as v*l**4 + f*l**2 + c*l + y + a*l**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13941628 and 61372?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7bd4 + 125c?\nAnswer: 8e41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -53. Let g be (i\/6)\/((-10)\/(-20)). Let x(c) = 10*c**3 - c**2. What is x(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 8)*(-4 + 2*j**2 + 4) + j**2 - 3*j**2 + 4*j**2 in the form y*j**2 + q*j + t and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*h + 2*w - 35, -2*h = 2*w - 20. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -511*k**2 - 2*k. Let h(u) = 3*u - 2. Calculate d(h(z)).\nAnswer: -4599*z**2 + 6126*z - 2040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -45, -63, -79, -93, -105, -115?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) -0.8 (c) 1 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160)*-1)\/sqrt(8)*4)\/(1*sqrt(50)\/(sqrt(20)\/sqrt(4)))*-6)**2*-6.\nAnswer: -6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - -1*(-5)\/(-15). What is the second smallest value in -0.03, m, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -4.32, -3?\nAnswer: -4.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20d + a?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 - 104. Suppose 28*w - s*w = -28. Solve 5*k = -2*n + w, 3*k + 2*k - 8 = -4*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2290217779 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*p + 8 - 28 = 0, -2*c + 3*p + 15 = 0. Suppose -4*f + 0*f + 3*n + 3900 = c, 3*f - n - 2920 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.721*53336.\nAnswer: -38455.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1097, -1\/3, 1\/7, 1, 0.1, 0.02?\nAnswer: 1097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5 - 1189\/580?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358702.7l in millilitres?\nAnswer: 358702700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 41422.\nAnswer: 15\/20711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 20*p**5 + 2*p**5 + (-4 - 1 + 2)*(-6*p**5 + 0*p**5 + 2*p**5) + 4*p**5 + 0*p**5 - 6*p**5.\nAnswer: 32*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y - 1. Suppose -64*x = -110*x + 414. Let r(g) = 71*g - 5. Determine x*s(q) - 2*r(q).\nAnswer: 20*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*(y\/y**(1\/5))\/y))\/y*y*y)\/y)\/(y*y**5\/y))\/(y**(-1\/8)*y)**(-16) assuming y is positive.\nAnswer: y**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -446 - -309. Let l = c - -201. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/((-2)\/7 - (-16)\/7). Find the second derivative of 20*p**2 + 5*p**2 + 9*p + a*p - 3*p**2 wrt p.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -2*g**7\/105 - 137*g**6\/60 - g**5\/30 - 113*g**4\/8 - 4029*g**2. What is the third derivative of l(s) wrt s?\nAnswer: -96*s - 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/5 - 41\/10. Let z(x) = x**2 - x - 4. Let b be z(3). Sort 3\/7, b, p in descending order.\nAnswer: b, 3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 0.7261?\nAnswer: -1.1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -25*v**3 + 3*v + 1. Let a be 1\/(-2)*(-5)\/10*-4. List the prime factors of k(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184\/(-18) - 6\/(-27). Calculate the remainder when 53 is divided by x\/(-10) - 13*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 - 1611810*c\/7 - 216494289675\/7.\nAnswer: -3*(c + 268635)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) -4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 41. Suppose o*d = 10*d + 15. Let r = 0.7 + -0.3. Sort r, -0.1, d in descending order.\nAnswer: r, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -621 + 764 - (90 - 2)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(4*18\/(-48))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from mmameveamemaem?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 63\/8, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*q - 55*q**2 - 523*q + 1553*q - 519*q.\nAnswer: -55*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10507 - 10505)\/(((-12)\/(-1695))\/((-2)\/(-5)*-1)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-8))\/((7\/(-2))\/7). Suppose 3*m + 2*c = 6*m - 18, 5*m = c + 23. Suppose -m*s = 5*i, -5*i - 63 = -5*s - 18. Sort i, 5, x in ascending order.\nAnswer: i, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/5, -0.4, -323 in descending order.\nAnswer: -0.1, -1\/5, -0.4, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3260 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) -2\/3 (c) 2\/3 (d) 2\/17 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20835\/7 + 62470\/21. What is the third smallest value in r, 3, -331?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/5875 and 31\/535?\nAnswer: 628625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900533.9 centimeters to micrometers.\nAnswer: 9005339000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6041 and 3561601.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 + -29468?\nAnswer: -29468.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*s + 123 = -270 - 729 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1952 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9330194 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5802 - 5.5802. Suppose 8 = 4*z - 2*u, -2*z + 5 - 1 = -2*u. Let y = -5.95 - 0.05. What is the second biggest value in -0.4, y, z, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572 + 1587 = 15*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -29729?\nAnswer: 29724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-7) + -105 + 95)\/((-91)\/(-26))?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425*u**2*w**4 + 12*u**2*w**2 - 2*u*w**5 - 19*w**2 wrt w.\nAnswer: 10200*u**2*w - 120*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/621 and -67\/2277.\nAnswer: 6831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/340 and -29\/22.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(324)\/(sqrt(96)\/sqrt(8)))**2 + (1 + -3*sqrt(432))**2 + 1.\nAnswer: -72*sqrt(3) + 4862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:23 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 390290953 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: Expand -186*f - 187*f - 3*f**5 + 378*f + (4*f**4 + 0*f**4 - 2*f**4)*(f + 0 + 0).\nAnswer: -f**5 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 2207.1999?\nAnswer: 662.15997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = 14. Let y(b) = 2*b - h*b - 4 - 5*b - b. Is y(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 5*k - 4. Suppose 4*v + 4 = -0*v. Let w be v - 0 - (-70)\/14. Determine i(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*12\/(-462) + 0. Let i be (-8)\/6*(-3)\/(-22). Which is the smallest value? (a) i (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 24*k - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 + 46 - 47)*(3 + 3*t - 3 + (0 - 1 + 2)*(1 - 1 + t) + 2*t - 4*t + 4*t - 5*t + 2*t - t)*(0 + 2 - 4) to b + d*t and give d.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8*-3650675\nAnswer: 29205400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 324?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 394350*c + 35844445.\nAnswer: 5*(c - 78779)*(c - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189675 and 54765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81840 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: Let i = 122 - 135. What is the nearest to -1\/3 in i, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 5. Let l be p(0). Let z = -7 + 1. Let a = 8 + z. What is the biggest value in -0.4, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:02 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23132000301111 - 0?\nAnswer: 23132000301111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15412 (base 9) in base 4?\nAnswer: 2210231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 23. Let w(t) = -t - 12. Let i(k) = 4*h(k) - 9*w(k). Let d be i(0). Let n = 32 - d. Calculate the remainder when 30 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 4. Let z = 13 - y. What is the second smallest value in 1, z, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1613873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:49 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4 = -4*i, -9*i + 4*t + 8 = -7*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 232 + -230. Suppose h*g + 23 = 2*f + 7*g, 4*f - 4*g - 32 = 0. Solve -3*s + 11 = -4*o, 3*o + f = 3*s - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o - 1178 - 1248 = 44 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7527 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/18 - 2) + 20\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + (3 - (3 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -347 - -447. Calculate the remainder when c is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 3, s: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/7 (b) -1\/4 (c) 13614666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 10918 = -1866*m - 28877 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -13 - 2. Suppose -k + 61 = 3*q + k, 9 = q - s*k. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2599, -5196, -7793, -10390, -12987, -15584?\n\"Answer: -2597*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y + 1. Let i(t) = -4*t**3 + 7*t**2 - 2*t - 1. Determine -2*c(u) - i(u).\nAnswer: 2*u**3 - 7*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74068 divided by -26.\nAnswer: -37034\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842940277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vxvxaxaxdm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*d + 301*d - d**2 + 82*d to b*d + z*d**2 + p and give b.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42712 and 152.\nAnswer: 42712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -39290.36 and -0.02 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8738746129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -233168.\nAnswer: 9\/58292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16321?\nAnswer: 19, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15*-6)\/(117\/390)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 5*t**2 - 6*t - 8. Let p(q) = -2*q**3 - 4*q**2 - 5*q - 7. Let r be (4\/(-3))\/(6\/27). Calculate r*p(f) + 5*i(f).\nAnswer: 2*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -i - 221, -3*i - 3 = 231*t - 230*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -9*n**4\/4 + n**3 + 7*n**2\/2 + n - 2. Let c(b) = -b. Let a(s) = 2*c(s) + h(s). Factor a(k).\nAnswer: -(k - 1)*(3*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 221*c. Let v(n) = n**2. Determine v(p(w)).\nAnswer: 48841*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 686, 394, 104, -184, -470, -754?\n\"Answer: z**2 - 295*z + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2)*122\/2. Suppose -18 = -b + t. Calculate the lowest common multiple of b and 98.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + 3520061491591.\nAnswer: 3520061491548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, m: 4}. Give prob of sequence mm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*g - 10*g + 197386 = 54*g. Solve 1228*q = g*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -3*l**2\/2 - 571. Let c(k) = -5*k + 16. Give c(z(f)).\nAnswer: 15*f + 16","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**7\/35 + l**3\/2 + 7*l**2. Differentiate s(o) wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3973?\nAnswer: 1\/3973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*u - 11*u. Suppose -16 = 2*y - 6*y. Put y, u, 2, -1 in descending order.\nAnswer: y, 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0*l + 0*l**4 + 0*l**3 + 0*l**7 - 2\/15*l**5 + 0*l**6 + 3\/112*l**8 + 0 - l**2. What is the third derivative of o(r) wrt r?\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48033160 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -12, -16, -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 15, -r + 11 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1424883 - 26251967\nAnswer: -24827084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -6*x**4 + 13*x**3\/3 - 6. Find the third derivative of f(o) wrt o.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1743673 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3073190.9 rounded to the nearest one thousand?\nAnswer: -3073000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.6334 days in milliseconds?\nAnswer: 45328325760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 97*i + 43. Calculate t(-3).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 + 1. Let d = 12 - 13. Give v(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12045, 8889, 5733?\n\"Answer: -3156*a + 15201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 4*c + 8, 4*o - 7*o + 3*c - 21 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/4 + 35*v**2 + 264*v = 0. What is v?\nAnswer: -132, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 24 + 67*i + 15 + 24 + 29.\nAnswer: 67*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (3 - 3) - -2. Let g(m) = m**3 - 8*m**2 + 8*m - 4. Let i be g(7). Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-84)\/49)\/(-4))\/((-6)\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.22536617 + 0.02530417. Let f = r - -6.2. What is f rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -33*b - 468. List the prime factors of r(-38).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227712\/7 + 32530. Let m = 0.96 + -1. Which is the smallest value? (a) z (b) -2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -8, g - 31 = 2*n + 2*n. Suppose g = 2*u - 5*u. Sort -0.3, u, -0.2 in ascending order.\nAnswer: u, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 2*g**4 + 0*g**2 + 3*g**4 + g**2 - g**2 + (4*g**3 - 2*g**3 - 4*g**3)*(4*g + g - 4*g) in the form m*g**4 + t + p*g**3 + v*g + f*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -20 - (0 - (2 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r**3 + 8*r**2 - 2*r + 412?\nAnswer: -72*r + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 times -343?\nAnswer: -711039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Suppose p = -6*d + 2*d. Suppose d = -3*z + z + 26. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 19842?\nAnswer: 198420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -750, -752, -754, -756, -758, -760?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2221 + 10?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7851, -7823, -7777, -7713?\nAnswer: -7631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, w: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*y**2 - y**2 + 2*y**2)*((-2*y + 0 + 0)*(3 - 6*y + 0*y + 4*y) + 0*y + 4*y**2 + 0*y) as n*y**3 + q*y + z*y**4 + g + s*y**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 16*z + 4958. Calculate a(-54).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 + 4*i**2\/5 + 21*i\/5.\nAnswer: -i*(i - 7)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*a**2 - 134*a**3 + 365*a**3 - 175*a**3 wrt a.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235.518 - -2.682. Let x = f - 266. Let v = x + 27.80000183. What is v rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(3 + sqrt(208)*6 + -1 + (-1*sqrt(208)*-3 - sqrt(208))) + 5)**2.\nAnswer: 448*sqrt(13) + 13362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-5)\/(35\/(-21)) - -105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 263, -2, 5, 41, 2 in decreasing order.\nAnswer: 263, 41, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1401034140042 - 1?\nAnswer: 1401034140041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 588588*j + 474025392.\nAnswer: -4*(j - 801)*(j + 147948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*u - 150 - 637 = 0, -775 = 3*n - u. Put -1, -2, n in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -111. Let g be v\/1 + (-14 - -21). Solve g = 2*l - 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -27\/2168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34561 (base 7) to base 12.\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 39\nAnswer: -38.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 21.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 122\/(-4)*78390\/183915?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27334*m - 27328*m + 4*m**2 - 27333*m - 27337*m + 109332*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1936 and 681272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*v + 18 = 0, 2*v = -4*t - 3*v + 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 4:09 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from gpemote?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*r**2 + 25*r + 30.\nAnswer: -5*(r - 2)*(4*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 4, c: 1, f: 5}. Give prob of sequence df.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -213*v. Let n(h) = -h**2. Determine y(n(j)).\nAnswer: 213*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1140 and 139\/141360?\nAnswer: 141360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3564558*w**3 + 876*w**2 + 657 wrt w.\nAnswer: -21387348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 4*q - 3*q)*(-11916 - 11566 - 3070) to j*q + g and give j.\nAnswer: -26552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 4. Let p be b(3). Is 8 a factor of (-5028)\/(-32) - p\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1717522 and 14418?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -1.9166, -0.01, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -31909 greater than -95731\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213439700?\nAnswer: 2, 5, 347, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from yrtuyywy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 5*g + 21*g in the form n + c*g and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:01 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -834*f**2 - 6*f**3 + 21*f**4 - 20*f**4 + 836*f**2 - 6 to a*f**4 + z*f**2 + r + k*f**3 + v*f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6302 + -26?\nAnswer: 6287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 38, 81, 144, 233?\n\"Answer: a**3 + a**2 + 19*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 273720 and 4.846.\nAnswer: 273724.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 66067712*i - 198203154.\nAnswer: 2*(i - 3)*(i + 33033859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24681*c**3*r*z + c**2*r*z - 453*c**2*r + 3112*c*r - 4*c*z + 279*c wrt c.\nAnswer: 148086*c*r*z + 2*r*z - 906*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0 + 0)*(0 + 0 - 1) + 0*d + 7*d - 2*d - 511 + 267 + 32*d + 244.\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -3. Suppose -y = -2*x - 7. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-18\/5))\/v*v**(1\/9))**(-5))**25 assuming v is positive.\nAnswer: v**(-4175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -380, -809, -1290, -1823?\n\"Answer: -26*l**2 - 351*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20250951 divided by 14393?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b - 21 = -68*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 27*a**3\/7 + 6186*a**2\/7 + 24987*a\/7 + 2700\/7 = 0.\nAnswer: -225, -4, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 35734\nAnswer: 5\/35734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -45*h**3\/2 - 40945*h**2 - 18623150*h + 4140500 = 0.\nAnswer: -910, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 + 7*f**4 - 5*f**4 - 2*f**4 + 6*f**4 - 3*f**4 + (-f**3 + 2*f**3 + 3*f**3)*((4 + 2*f - 4)*(3 + 2 - 4) + 16*f - 6*f - 3*f).\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 65520 = 19*o. What are the prime factors of o?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 975406114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37195 is divided by 7435?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqbqubqqquq.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 - 25*l - 10*l - 2*l wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7220?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8 + 2*f + f - 2*f. Let q be n(10). Suppose -b + q = -5. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 26*q**6\/5 - q**4\/12 - 2*q**3 + 2*q - 55. What is the third derivative of t(o) wrt o?\nAnswer: 3744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/497 or 1?\nAnswer: -4\/497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 263*s**4\/12 - 599*s**2\/2 + 14*s + 4. What is the first derivative of o(t) wrt t?\nAnswer: 526*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = -429 - 693. Which is bigger: n or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(27) - (-1 + sqrt(27))*-1).\nAnswer: -6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-394 + 867 + 3104)*(-r**2 + r**2 - 2*r**5).\nAnswer: -7154*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/132)\/(-3*(13 + 75\/(-6)))\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.1 + 4.99. Let x = f + 3.10647. What is x rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 10*d = -5*y - 9, 2*y - 6 = 0. Solve 116*w = 112*w - d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (534\/2225)\/((-3)\/(-10)) + (-8 - 1232\/40).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 1082601?\nAnswer: 21652020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 1. Let o(x) = -5*x - 2. Let z(j) = 4*g(j) - 3*o(j). Give z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z**3 + 9305*z - 256964 wrt z.\nAnswer: -15*z**2 + 9305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.02 + -2. Let t = u + 0.28. Let k = -512 - -511. Which is bigger: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444480225.\nAnswer: 3, 5, 7, 120947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - q**2 + q**2 + (4*q - 3*q + q)*(q + 3 - 3) - q**2 - 3 + 3 + 3*q - 3*q - q**2 - 3*q**2 + 2*q**2 + 2*q**2 - 95*q**2 + 4*q - 115*q**2 + 223*q**2.\nAnswer: 16*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*n - 9, 2*n - 4 = 2*b - n. Suppose d = -b + 5. Let m(l) = -8*l + 4*l + 4*l - d*l**2. Let t(j) = 2*j**2. Give t(m(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 52048*g - 5.\nAnswer: -52048*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(4\/11)*f)*(f\/f**23)\/f*f*f*f*f*f**(-8\/9)*f*f*f*f**21 assuming f is positive.\nAnswer: f**(371\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31.3, 1956, 2\/7?\nAnswer: -31.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11667 = 12*r - 7*r + d, d = -r + 2335. Suppose -3 - r = -5*f - 2*l, 5*f - 4*l = 2348. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17525.\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-15)\/5)*3)\/(17\/(-51)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 10*l - 6. Let q be r(9). Suppose 0 = -i + 3*h - 1, 2*h - q = i - 3*h. Solve -i*y + 3 = -7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4491.28953 rounded to the nearest 10?\nAnswer: -4490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216 + -209. Let b(d) = -2*d - 6. Give b(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4198\/73465 - 66\/315*48\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c - 9. Let b = 8 - 6. Let q(a) = -83*a**3 - 4*a**2 - 3*a - 1. Let k be q(-2). Let l(n) = 651 - 1305 + n + k. What is b*p(i) - 18*l(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-27) + 87\/(-27). Let c(f) = 2*f + 9. Let w be c(j). Solve 13 = 2*k + w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 13. Suppose 95 = -5*k - 5*h - 5, -4*k - 48 = -4*h. Calculate o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Let v(b) = -372*b**2 - 9*b - 9. Let i(u) = 6417*u**2 + 155*u + 155. Let l(m) = -9*i(m) - 155*v(m). Determine l(p(g)).\nAnswer: -372*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 2*i)*(-117 - 17*i**4 + 117) + 0*i**5 + 3*i**5 - i**5 + 2*i**5 - 3*i + 12*i - 10*i.\nAnswer: 38*i**5 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.966636 - 0.033364. Let d = -0.4 - -0.3. Which is the closest to d? (a) t (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*3 + -6*66\/(-36). Let h be -2*(260\/v)\/(-13). Suppose 0 = x + 2*x - 12. Solve -x*d - 21 = 5*f, -2 = -d + h*f - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 281149739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 7 - 1) + -1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0 + 0*t**5 - 3\/2*t**3 + 2*t + 1\/15*t**6 + 0*t**4 + 0*t**2. What is the second derivative of n(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + 5*h**4\/4 - 29*h**3\/6 - 7*h**2. Let l be x(-22). Let j = l + 45. Round j to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11888500 rounded to the nearest one hundred thousand?\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2684 + 2647 = -4*n, -3*n = -4*d + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 76\/39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhvz when four letters picked without replacement from {v: 1, z: 9, j: 2, p: 4, h: 3}?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/88 and (-6 + (-42)\/(-35) - -4) + 236026\/289520?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 - 7499*u + 14997*u - 7*u**3 - 7498*u + 17*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15155418, 30310834, 45466250, 60621666?\n\"Answer: 15155416*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*f**4 - 34 + 34 + (-3*f + f**3 + 3*f)*(f - f - 2*f) + (2*f - 2*f + f)*(3 - 3 - f**3).\nAnswer: -38*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2462 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 8*q**2 + 3*q + 7. Is o(8) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*d + 289. Let j = d - -112. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3470 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 837*i**2*x**2 + 111*i**2 - 2*i*x wrt x.\nAnswer: 1674*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1244041243\/561 + -2217541. Let x = l + 2\/187. Suppose 0 = -5*a - 11 - 4. Put -2\/19, x, a in descending order.\nAnswer: x, -2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-6)\/117 - 200\/(-52). Suppose o - 4*a + 26 = 0, -b*o - 6*a + a + 1 = 0. Is (-37)\/(3\/o*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = -3*f + 240, 2*f - 161 = -z. What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.975 - 0.025. Let f = j - -23. What is the closest to 2\/7 in -3\/8, f, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 3032001123?\nAnswer: 3032001130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23592 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 3*a**2 - 2*a**2)*(9272840*a - 1937*a**3 - 9272840*a).\nAnswer: 3874*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 1\/4, 0.4, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 160.067.\nAnswer: 640.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -447735*x + 16. Let v be z(-9). Suppose 2330369 = -3*c - v. What is c rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 3*c + 4. Let n be y(-4). Suppose n = -o + 13 - 3. Suppose 0 = -s - 0*s + 8. What is the least common multiple of o and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(10)\/sqrt(5)*5 - sqrt(2) - (-2*sqrt(10)\/sqrt(5) + sqrt(2))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116 or 133?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2383*s**3 + 0*s**2 + 0*s**2 + 2499*s**3.\nAnswer: 116*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.4 (c) -1 (d) 4\/5 (e) -1\/4 (f) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273829, -274596, -275363, -276130, -276897, -277664?\nAnswer: -278431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 160?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 7. Let q be x(4). List the prime factors of (2 - q) + (-9)\/3 + 129.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*n = 2*h - 11, -2*h = n - 13. Let u(t) = 4*t**3 - 2*t**2. Suppose -5 = 2*v - 7. Let x be u(v). Solve x*l - 2 + 4 = -2*o, 0 = 5*o - h*l + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -936, -1329, -1906, -2601, -3348?\n\"Answer: 11*y**3 - 158*y**2 + 4*y - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -9. Suppose k = -2*k + g. Suppose -31 = -5*i + k*f, 2*i - 2*f = 2*f + 10. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.843519 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39879365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137316970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 21*s**4 - 1245*s**3 - 14367*s**2 + 20145*s - 4554 = 0.\nAnswer: -11, 2\/7, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2 = 2*b, 9*b - 5*y - 1 = 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.1, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 358 = -95. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 142?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 7, h: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 753 - 737. Suppose -12*y - o = 140. Suppose -2*f - 49 + 3 = -5*d, -f - 3*d - 1 = 0. Are f and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from oaofffffffaofffofoo?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y + 31*y + 10417*v - 10421*v + 25 = 0, 26 = -4*y + 2*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.934 take away 42238.87?\nAnswer: -42003.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/16 + (-1)\/4. Let a = -3 - b. Let j(g) = -17*g**2 + 2 - 6*g + 4 - 8*g**3 + 23*g**2. Let l(w) = -w**3 + w**2 - w + 1. Calculate a*j(i) + 6*l(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.003 - -0.403. Which is the second biggest value? (a) l (b) 0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i - 2. Let r be t(-3). Suppose -5*d - r + 19 = 0. Calculate the lowest common multiple of 8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432\/559 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:00 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48, 95, 142, 189?\n\"Answer: 47*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*x**2*y**2 + 4*x**2 - 188423*x*y - 4*x + y**2 - 547*y - 937 wrt x?\nAnswer: 12*x*y**2 + 8*x - 188423*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/106599820 and 18\/758095.\nAnswer: 1385797660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8379, 8367, 8341, 8295, 8223?\n\"Answer: -c**3 - c**2 - 2*c + 8383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -885*a**2 - 19*a - 3. Let f be g(-3). Let y be (2 + 30\/(-18))\/((-3)\/f). Is 22 a factor of y\/(-2)*6\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 0*l**4 - 4*l**4 - l**4 - l**4 - l**4 + (2*l**4 + 0*l**2 + 0*l**2)*(3 + 0 - 2) - 2*l**4 + 5*l**4 - l**4 - 182*l**4 - 161*l**4 + 248*l**4.\nAnswer: -96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.74.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 5*t - 5. What is m(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 - (-29326)\/330 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8518?\nAnswer: 2, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 2*r, 5*w + r = 6*r + 40. Suppose 10*s = 314 + w. Calculate the highest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x*x\/x**(-11\/5)*x*x)\/x)*x*x**(-17)\/x assuming x is positive.\nAnswer: x**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -7. Let m = t - 3. Let p = m - -7. Let h(b) = -b + 2. Determine h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**6\/6 + 33*t**5\/2 + 1735*t**4\/12 + 470*t**3 + 710*t**2 + 2*t + 74. Solve v(y) = 0.\nAnswer: -2, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 17 + 20*s**2 + 3*s**3 + s**3 - 10*s. Let c(l) = -l**3 + 18*l**2 + 43*l - 45. Let d be c(20). Is m(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (774\/(-172))\/(9\/(-2)) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*m + 38 = -22, -23 = o + 4*m. Let h = o + 39. Let p be (-86)\/(-18) + 8\/36. Solve p*c = 4*t - h, 0 = -t - 4*t + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:35 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 11*m**2 + 1311*m + 9330. Calculate c(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 1. Let h(m) = 216*m + 5. Determine h(a) - 2*i(a).\nAnswer: 220*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 7*v + 16. Let q be v\/40 - (-328)\/20. Let x(h) = -h**3 + 17*h**2 - 16*h + 6. Give x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.433102m?\nAnswer: 433102000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(243)*-3 + -2 - (sqrt(12) + (sqrt(84) + (sqrt(84) - (sqrt(84) + 3*sqrt(84) + sqrt(84))))\/sqrt(7))))**2.\nAnswer: 368*sqrt(3) + 6364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 129 = 3*m - m, -2*m = -3*j + 399. What is the greatest common divisor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7525 - -15590. Suppose -38192 = 26*d - 33*d. Let r = i - d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 68495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29741559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 563 = 2*f. List the prime factors of f.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avav when four letters picked without replacement from accpcvavaxavcvacv.\nAnswer: 5\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8707353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 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: What is the square root of 703 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14446*b**3*p - b**3 + b**2*p + 74*b**2 + 8343*b*p + b + 8*p wrt b.\nAnswer: -86676*b*p - 6*b + 2*p + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a + 2*a - 202 = 398 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h**32*h))\/(h\/((h\/(h\/(h\/(h\/(h*h**2\/h)))))\/h)) assuming h is positive.\nAnswer: h**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/7194 and 169\/4554.\nAnswer: 496386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:03 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8) + 1*1110\/(-135).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11760143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 18. Suppose g = 5*x - i - 41, i - 14 = -2*x - i. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196254505 + 5886939727\/30. Let y = u + 23184. Let j = -11\/6 + y. Find the common denominator of -10\/11 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 3:27 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3288*c - 559033. Determine b(-170).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 0.4 (c) -1 (d) 4500 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 33*s + 59. Let h be n(3). Sort -11, 0, -1, 1, h in increasing order.\nAnswer: -11, -1, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4331.60674 and 5.\nAnswer: 4336.60674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.722*21\nAnswer: 36.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -18*d**2 - 2301*d - 6425. Determine b(-125).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*l**2*x*z**3 + l**2*x*z**2 - 3*l*x*z**3 + l*z**2 - 2*x*z wrt l?\nAnswer: -52*x*z**3 + 2*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15143 is divided by 5041.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g + 74. Let q be p(-12). Suppose 0 = 4*w + 5*n - 1266, -2*n = q*w - 346 - 288. List the prime factors of w.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 194*p**2 + 81 - 798*p**2.\nAnswer: -604*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 2403.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102100222 + -22112?\nAnswer: -1102200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**3 + 75*g**2 - 90*g - 160 = 0.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8494\/5 + -1704. Let p = 5 + s. Which is the third smallest value? (a) 1 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 11*z + 2545. Give j(-34).\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -635030 (base 7) in base 6?\nAnswer: -2204125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 459*m - 35910.\nAnswer: 3*(m - 57)*(m + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2321 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:08 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8214, 16433, 24666, 32919, 41198, 49509, 57858?\nAnswer: 66251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28113867 is divided by 3664.\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -333*c**2 - 26 + 11*c - 336*c**2 - 65 + 11*c + 672*c**2. What is the units digit of v(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**2 + 18*z**2 + 4*z**2 - 2*z**2 as g + f*z**2 + j*z and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*s - 18 = 0, s - 38 = 10*o - 15*o. Suppose -k + 3*h + 2 = -o, 4*h = -8. What is z in 0 + 0*z**2 - 2\/3*z**3 + 0*z + 4\/3*z**k = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*z + 8 + 0 = 0, 4*z = h + 16. Let u = h + -2. Let a be (-102)\/221 + 220\/195. What is the nearest to 1\/4 in 1\/2, u, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1\/13, -2\/29, -35, -1\/2 in descending order.\nAnswer: 1\/13, -2\/29, -1\/3, -1\/2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*j**3 - 13135*j**2 + 26375*j - 13205.\nAnswer: -5*(j - 1)**2*(7*j + 2641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1346*p - 2099 wrt p?\nAnswer: -1346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 2*n**2 + 1\/120*n**6 + 2\/15*n**5 + 2\/3*n**3 + 49 + 0*n + 1\/6*n**4. What is u(-8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 - o + 1. Let j(v) = 2 - v**2 + 2*v**3 + 3*v**2 - 3*v - 8*v**3 - 3*v. Let y(u) = 2*c(u) - j(u). Find the second derivative of y(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*r - o, 17*r - 5*o - 8 = 19*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13241 - -14?\nAnswer: -13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-21 - (2 + (-9 - 2) + 5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/8)\/(3\/(-8)). Let n(m) = -m**3 - 7*m**2 - 5*m + 4. Give n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1313995 and 19511?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*o + 40 = 0, -3*v = -203*o + 205*o - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 2 + -19 + (-16 - -33).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6750 and -2\/4115.\nAnswer: 5555250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:35 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -136, -19, -2, -11, -32 in increasing order.\nAnswer: -136, -32, -19, -11, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 27306 to the nearest ten.\nAnswer: 27310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12017 (base 8) to base 5\nAnswer: -131020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 9 = 0, 3 = -3*f - 0*f - 3*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8799511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10845*u - 1381. Is f(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2\/(-4)*3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62\/(-93)*(82\/4 - 1). Put 4, -3, a in descending order.\nAnswer: 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(((-18)\/4)\/3)*30.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/3 + 322084*x\/3 - 12967262882\/3 = 0. What is x?\nAnswer: 80521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 527, 5, -18, 0, -8, -5 in ascending order.\nAnswer: -18, -8, -5, 0, 5, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 - -117 - (-2 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + 2*h**2)*(-h**3 + 5*h**3 - 3*h**3) + (17 - 1 + 14)*((1 + 2*h - 1)*(h**4 - h**4 - h**4) + (7 + 3 - 5)*(-h**5 + 3*h**2 - 3*h**2)).\nAnswer: -208*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165*d - 153*d - 62 + 86, 0 = -5*g + d + 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 7*t**2 + 12*t - 5. Let i = 38 - 44. Let h be (69\/(-18) - -3)*i. What are the prime factors of b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 381 = -5*a, -3*a + 4*v = 9*v - 219. Suppose -a - 72 = -2*f + 5*c, 5*f + 2*c = 346. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -566 + 562. Let r be 1 + (-64)\/(-24) + j\/6. Solve 0 = -t + r*y, -5*t = -2*y + y + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**(-8\/3)*v))\/v)\/v)\/(((v\/(v\/((v*v**(-1\/13)*v)\/v)))\/v)\/v)*(v\/v**(-1\/8)*v)\/v*(v*v**(-12))\/v)**(1\/11) assuming v is positive.\nAnswer: v**(-4825\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79398544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, 30, 753, -129 in decreasing order.\nAnswer: 753, 30, 2, 0, -2, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 91 (c) 16 (d) 0.041\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1*48\/132 + (-21150)\/(-1595) + -6)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Let z(i) = -i - 6. Calculate -22*h(k) + 4*z(k).\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g + 1. Let v(z) = z**3 - 12*z**2 - 5*z - 5. Let n(r) = -5*k(r) + v(r). Is 19 a factor of n(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4555?\nAnswer: 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2051 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -3. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 512?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 268343423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309109?\nAnswer: 3, 11, 167, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 760311200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53332 divided by 67.\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = -w. Let g be (64\/24)\/(w\/(-6)). Let o be (4 - (-1 + g))*7. Solve -2*x + o*x = 4*y + 15, 5*x = y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/4 of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/32? (a) 2\/5 (b) 5 (c) 0.09 (d) 2.5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -b + 365, 4*b + 3*o = -b + 1823. Suppose 1432 = 4*p - 4*g, p = -0*p + 3*g + b. Find the common denominator of 17\/16 and 2 - 1\/(180\/p).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-328 + 124 + 101 + 4801*s + 105)*(-s + 3*s + s).\nAnswer: 14403*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 11. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7*k + 2*k = 2, -3*k - 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -19)*1\/(-2). Let h(x) = x**2 + x - 3. Is h(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + -2*sqrt(1539)*6)**2 + -2*(-2*sqrt(190))\/sqrt(10)*4.\nAnswer: 232*sqrt(19) + 221620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let b(j) = 315*j**2. Give b(s(d)).\nAnswer: 315*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 + 29*c + 13. Calculate the remainder when l(-8) is divided by (-156)\/24*(-2)\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 2:44 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.026 - 0.816. Let t = 0.78 + o. What is the second biggest value in -3, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k**3 - 14*k**2 - 25*k**3 - 4*k + 3*k**2 + 6*k**2. Let f(p) = -p**3 - 2*p**2 - 2*p. What is 5*f(u) - 2*l(u)?\nAnswer: -u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 437*h - 7228. Give o(-18).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) 5 (b) -0.06 (c) 1\/3 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 622257599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1\/14 in descending order.\nAnswer: 5, 0, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.8 - 15.79. Let i = y + -0.01. Which is the second biggest value? (a) i (b) -1\/3 (c) -1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3161 - 3135. Calculate the remainder when 126 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p - 4*w, -3*p = -0*w + w - 11. Solve -p*x = -7*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/11)*x*x*x)**(27\/2)\/(x*x**12*x**(1\/8)) assuming x is positive.\nAnswer: x**(4569\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44685279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 262, 2, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c - 17. Suppose 7 = 5*r - 3. Suppose z + 3*z = 28. Let d = z - -2. Let k(v) = v + 4. Calculate d*k(t) + r*g(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/25, -103, 0, -2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -4, 2\/83, 5?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27945551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -69749\/117 greater than or equal to -596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by -130.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -24. Let f = 22.016 + v. Let l = 4.016 - f. Which is the biggest value? (a) l (b) -1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147\/8 + 425\/24. Let g = 2539\/2610 + -41\/90. Is k < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/4)\/(620\/(-248))*6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3504?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 229, 230, 231, 232?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8798244 divided by -6.\nAnswer: 1466374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336 (base 12) to base 14.\nAnswer: 25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*o + 4*l, 2*o - 2*l = 2*l + 22. Suppose -o = 3*f - 4. Put 0, 2\/7, f in decreasing order.\nAnswer: 2\/7, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15393546 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.739 - 0.659. Sort 0.082, -4, -5, -0.2, j in decreasing order.\nAnswer: 0.082, j, -0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3737266 (base 10) to base 9\nAnswer: 7025507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*z**2 + 33*z**2 + 2 + 33*z**2 - 4 + 24*z**2 - 161*z**2 + 19*z**3.\nAnswer: 19*z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 9*m**2 + 8*m + 6480. What is z(0)?\nAnswer: 6480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 23 - (-5 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 75, -0.2, -0.031025, -6 in decreasing order.\nAnswer: 75, -0.031025, -0.2, -2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -45518\/6727?\nAnswer: -45518\/6727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15708*z**3 - 95*z**2 + 50*z - 2?\nAnswer: -94248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + 412?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6279?\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 15*i**2 - 17*i - 2. Suppose -d - 4*a + a - 19 = 0, 4*d + 65 = -a. Let n be r(d). Let s = n + -15. Which is smaller: -8\/17 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 0*c**4 - 4*c**4)*(-175*c + 4749 + 117*c + 57*c).\nAnswer: 2*c**5 - 9498*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 11*d**2 + 9*d - 8. Let x be c(-10). Let w be x\/(-14) - 3\/(-21). Suppose 5*r - 169 - 11 = w. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 10. Let m = 23678 + -71689\/3. Let l = m - -218. Sort z, 2, -0.1, l in descending order.\nAnswer: 2, -0.1, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513228061?\nAnswer: 311, 491, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 32*z**2 - 78*z + 537. Give h(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 224*p + 1. Let q(o) = 65*o**2. Calculate q(u(a)).\nAnswer: 3261440*a**2 + 29120*a + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15415342.\nAnswer: 2, 47, 163993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 4*u = -10, -4*g = 3*u - 24. Let p(a) = a**3 - 3*a**2 - 2*a - 4. Calculate p(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 2*a)*(304*a - 312*a - 227*a)*(-a + 0*a - a).\nAnswer: 470*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3112093371 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9262)\/90 - 6\/30. Let n = 103 + g. Which is the fourth biggest value? (a) -2 (b) n (c) 0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270402 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131071*p**6 - 6*p**4 - 4067163*p**2.\nAnswer: 15728520*p**3 - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y + 7. Let q be i(-6). Let j = 14 + q. Let a be (-6)\/(-28) - 3500\/(-1960). Solve -j*m + a*m = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -2\/3*x**3 - 3*x + 0 + 9\/2*x**2. Differentiate t(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*l - 2656 = -11686, 0 = k - 5*l - 4541. Suppose 0 = 3*q - k - 4260. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58741.3ug in kilograms?\nAnswer: 0.0000587413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 1 r when three letters picked without replacement from {t: 2, e: 2, n: 7, r: 7}?\nAnswer: 49\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 not equal to -1562\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -66. Let y = 27.74 + d. Let l = y - 0.04. Put l, -2\/5, 1\/6 in ascending order.\nAnswer: -2\/5, l, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/29 in 7, 0, -0.13, 0.5, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19619?\nAnswer: 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98, 153, 204, 251, 294, 333?\n\"Answer: -2*g**2 + 61*g + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29112 = 5*w + 2*d - 3*d, -5*d = 5*w - 29130. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 370.\nAnswer: 3\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*21\/6*51\/357*2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-273)\/156 + (-210886)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-7)*(-663)\/39*13\/(234\/63)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -72. Let m(w) = -w**3 - 21*w**2 - 68*w + 16. Calculate the remainder when u is divided by m(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 4*p + 0*p - 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10) - ((-176268)\/(-4070) + -44).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o + 38*o + 64*o - 180*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6. Suppose -g = m, 3*g = -6*t + 2*t + 32. Suppose t = 3*l - 5*k + 19, 2*k = 8. Solve -j = 2*a + 2*a + 6, 3 = -l*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958.257519 rounded to 1 decimal place?\nAnswer: 958.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54932 is divided by 1059?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.138 - -0.338. Suppose 0*t + 21 = d + 4*t, d = -t + 6. Which is the nearest to d? (a) 2\/11 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*f**3 - 2106*f**2 + 12048*f - 15840.\nAnswer: 3*(f - 4)*(f - 2)*(7*f - 660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1058 + -366. Let m = 1438 - h. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 33*l**2 - 168*l + 15. What is w(-7)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 86.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120497 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 121*n**2 + 185*n - 58. Determine o(-62).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y. Solve 0 = 3*l + w - 4, -3*l + 10 = -y*l - 2*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 20*b**2 + 6*b - 133. Calculate a(20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 3*c + 12. Let t be b(-3). Is -7 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446242 (base 8) to base 5.\nAnswer: -14310230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.3 - -1.7. Let h = 173 - 185. Let n = h + b. Is -0.2 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*-1 + sqrt(1100))*-4 + -5 - -4*(2 + 1*1*sqrt(11)))**2.\nAnswer: 24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12779113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 + k**2)*(1 - 1 - 2*k) + (2 - 6 - 1)*(-k - k**3 + k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 29*p**4 + 238*p + 4. Let l(f) = -f**2. Calculate w(l(u)).\nAnswer: 348*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-270)*4)\/((-2)\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.839 - 0.939. What is the fourth biggest value in b, 0, 3, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 10*l**2 + 14. Let y(t) = t**3 - 4*t**2 - 3*t. Let v be y(5). Let b be s(v). Calculate the highest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 3*o - 8*o. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 20*s**2 + 24*s + 37. Let l be u(18). Let k = 173 - l. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, -384, -23944 in decreasing order.\nAnswer: 0, -2, -4, -384, -23944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2417162.6 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 647.576 kilograms?\nAnswer: 647576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfwfqqf. What is prob of sequence ffq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82518.26 grams to tonnes.\nAnswer: 0.08251826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, 0, 83, -2 in decreasing order.\nAnswer: 441, 83, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = -2*l + 4046, 4*l - 20 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546909 minus -0.4?\nAnswer: -1546908.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let y = 1.3 - 0.3. Let q = -67 - -67.3. What is the closest to y in q, -0.4, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d\/(d**(-2\/17)\/d)))\/d))**31 assuming d is positive.\nAnswer: d**(1643\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:16 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*k + 721 = -2751 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 4986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/15 + 25*h**4\/6 - 104*h**3 - 1370*h**2 + 2. Factor w(j).\nAnswer: -4*(j - 13)*(j - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-94)\/4)\/((-2)\/(-4)). Let t = 75 + a. Solve 2*n = 5*o + t, -4*o + 0*o = 4*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, b: 2, j: 2, z: 7, s: 2}. What is prob of picking 1 s, 1 b, and 2 m?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2 - 0) + 7 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + 12 - 13\/5. Let c = -0.12 + 26.12. Let b = c + -25. What is the closest to b in d, -4\/3, -1\/12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16104106 is divided by 220604.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/96)\/(21\/(-28)))\/(1\/11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/(-1 + 232\/(-60) + 5). Let k be 2\/(((-9)\/(-2))\/(-3)). What is the closest to -0.1 in -2, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 63*i**2 + 132*i + 174. What are the prime factors of r(-67)?\nAnswer: 2, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:12 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*h + 37*h**2 - 66*h - 459*h**2.\nAnswer: -422*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5871766817\/2979 + 1971053. Find the common denominator of f and -79\/60.\nAnswer: 59580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-5) + (-16)\/(-40). Suppose -i*b = -6, 3*q - 3*b - 16 = -2*q. Let h = -0.2 + 0.6. Put 0.2, h, q in ascending order.\nAnswer: 0.2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18881831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(27))\/(sqrt(40)\/(sqrt(30)\/sqrt(3))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Suppose -b - 1 = -5*d, 0*d - 3*d + 3 = 0. What is the second smallest value in b, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12960432 to the power of 1\/2, to the nearest integer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 475 - 326. What are the prime factors of i?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/12 + 4*c**3\/3 - 3*c**2 - 3*c + 2. Let a(v) be the first derivative of y(v). Determine a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -908086 - -245.4763.\nAnswer: -907840.5237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.439 + 2.439. What is the third smallest value in -1\/4, 5, 7, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120022 + 2011001?\nAnswer: 2201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 247894060 to the power of 1\/2, to the nearest integer?\nAnswer: 15745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149.3 + -14.5. Let c = 182 + u. Let h = c - 17. What is the third biggest value in 0.2, h, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 + 10 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, 5, -3, 0.\nAnswer: -3, 0, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12753, -20353, -27967, -35601, -43261, -50953, -58683?\n\"Answer: -f**3 - f**2 - 7590*f - 5161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 20 - 15 = 3*o - 2*z, 0 = -z - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 57\/31, 0.2, -0.08, -2\/3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (12 - 7)) + -3 - -4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -16*b + 15*b. Sort 3, 13, 0, b in decreasing order.\nAnswer: 13, b, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32760 and 1951040?\nAnswer: 17559360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -11827.1.\nAnswer: 11827.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*m = 14, f + 4*m = 232 - 238 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 15*z - 128. Calculate g(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 2*p**2 + 49*p - 6. Let f = 2125 - 2119. What is i(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*t + 20, 0*y + 4*t = 5*y - 4. Suppose 13 - 115 = -79*s + 135. Solve -s*j - 4 = -y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.2 + 7. Which is the closest to v? (a) 3\/7 (b) 0.1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -175*k**2 + 7*k. Let f(l) = 125*l - 2. Calculate f(w(c)).\nAnswer: -21875*c**2 + 875*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 3. Let f be v(2). Let m = f + 12. Let o be -3 + 5\/(-25) + 71\/5. What is the greatest common factor of o and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 8 - -951*10\/15 is divided by 195?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 49*x**2. Let i(v) be the third derivative of v**6\/90 + 49*v**3\/6 - 236*v**2. Let p(r) be the first derivative of i(r). Give o(p(j)).\nAnswer: 784*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 567 - 537 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 24. Suppose -w + g = -0. What is the lowest common multiple of w and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g - 34*g + g**4 + 1 + 2*g**3 + 14*g in the form y*g**2 + u*g + s*g**3 + n*g**4 + q and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(12\/5)\/h)\/(h*h**(-1\/9)))\/((h\/((h*h*h\/(h\/h**(-3\/5)))\/h))\/h**10) assuming h is positive.\nAnswer: h**(446\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*(sqrt(152)*1 - sqrt(152)))\/(sqrt(96)\/(sqrt(12) - sqrt(192))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 74. Let m be (-4)\/(-24) - (-145)\/(-6). Let l = m + 27. Solve -n = v + l*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 472 - -495. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 735 divided by 5\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1479 = 96*n - 113*n. What is the remainder when n is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(11) + 0 + sqrt(176) - (sqrt(77)\/(3*sqrt(7)) + sqrt(11)))**2 + (sqrt(176) + -2 + sqrt(176) + -3)**2 + 2).\nAnswer: -15820\/3 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.8 + -10.41. What is h rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 0*q + q + (36 + 75 - 41)*(2*q - 5*q + 0*q) + 7*q - 3*q + 5*q to h + f*q and give f.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-150)\/(-175))\/(-1*2\/(-378)) is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/5 + -23\/10. Let y be ((-9)\/(-4))\/((-9)\/(-24)). Suppose 2*z + y = o, -2*o = -0*z - z - 6. What is the smallest value in m, 3, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713051 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6427, 12916, 19405?\nAnswer: 25894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/((-7)\/(-105)*-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 19 (b) -22 (c) -0.7 (d) 0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j - 141. Let p be y(15). Suppose h = 0, -3*w - 3*h = -0*w + 69. Let v = w + p. Let x(a) = 4*a**3 - 2*a**2 + a. What is x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d**3 + 2715*d**2 + 452*d + 317. Let o be i(151). Suppose -2*p = 3*w - 499, -669 = -4*w - 0*p + p. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o**2. Let w(v) = v. Let k(u) = u**2 + 2*u. Let n(q) = k(q) - 2*w(q). What is c(n(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-3*4 + sqrt(133))\/sqrt(7).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -41*o**2\/2 - 15675*o + 11475\/2 = 0.\nAnswer: -765, 15\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201094 is divided by 575.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 846*o - 2236. What is the ten thousands digit of h(43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 5\/84*w**4 + 0 + 31*w**2 + 0*w - 1\/210*w**5 - 2\/7*w**3. Determine t so that u(t) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + -2 + (1*sqrt(288) + 3 - (sqrt(288) + 0 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50826)\/(-2408))\/197*2\/(-3)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 25182*b - 75555 = 0. Calculate b.\nAnswer: -3, 25185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 142347*b**4 - 284673*b**3 - 427023*b**2 = 0. What is b?\nAnswer: -1, 0, 3, 47447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 53. Suppose 0 = -3*f + 3*c + 3, 2*f - u = -3*c - c. Suppose -y - 2*x + f*x + 18 = 0, -3*x = y + 12. Let p(z) = z**2 - 2*z - 4. What is p(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - u - 3 = 0, -3*r - 3*u = 2*u + 19. Let s = 0.23 - -0.07. Let j = -4275 + 4280. Which is the third smallest value? (a) j (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - 2.1. Let b = 2 + m. Let y = 0.03 - 0.43. What is the nearest to -0.1 in 1, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-44)\/(-10) + -4)\/((-1)\/5). What are the prime factors of u*1*(-296)\/16?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100 (base 2) to base 15.\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2*w - 3. Let b(r) = -8*r**2 - 11*r + 5. Let k(v) = 17*v**2 + 23*v - 12. Let n(m) = 13*b(m) + 6*k(m). What is -4*n(l) + 9*s(l)?\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 + w - 11. Determine n(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 603 = 3*s + 2*y, -2*y = -2*s - 402. Let d = s + 215. Solve d = u + 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 3*j + 5. Let i be x(4). Suppose 4*g - 8 = -5*t, -g - i = 3*t - 3. Suppose -y + 4 = -t*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129084 is divided by 2153.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/128*12*(21 - 1). Suppose t = u - 30. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -929\/3 + 311. Let m(f) be the second derivative of -7\/24*f**4 - 4*f + 0 - f**2 + l*f**3. Factor m(a).\nAnswer: -(a - 2)*(7*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 6. Let b be q(-6). Suppose 2*c - 3 = -u, -b - 2 = -5*c + 4*u. Suppose -39 = -s + c. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 1 + 5*v + v**2 - v - 4*v. Let x(r) = 4*r**2 + 5*r - 5. Calculate 5*c(a) - x(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) 1000 (c) -3 (d) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:03 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(2 - (0 - 0)). Let x be 4\/s - (-10)\/4. Is (-3)\/6*x + 11 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 26. Let y = d + -30. Which is the nearest to 2? (a) 1 (b) y (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 47. Let t = -0.614 + 0.514. Which is the second biggest value? (a) r (b) 3\/5 (c) t (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14375880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*i - 20*i**2 - 2*i**3 + 55*i**2 - 183*i wrt i.\nAnswer: -12*i + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 91 = 4*l - 2*c, -3*l = -5*c - 74. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310132021233211 - -2?\nAnswer: -310132021233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**7\/630 + l**5\/40 + l**4\/6 + 3*l. Let f(m) be the third derivative of b(m). Differentiate f(z) with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755576771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11647*b - 11651*b - 3*r = -4*r - 16, r = -11*b - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -8332610\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -0.5, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 7*n - 3*n)*(5*n + 208*n**2 - 420*n**2 + 209*n**2 + 5).\nAnswer: -9*n**3 + 15*n**2 + 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/48 and -2*(6 + -1)*3\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253236 by 253236.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -27 (c) -0.4 (d) 4\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.10232 and -2.3.\nAnswer: 2.535336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178.6 - 178.6. Let i = -0.1 - -0.3. Which is the third biggest value? (a) 5 (b) q (c) -2\/5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and -19.\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + sqrt(891) + sqrt(891) + 0 + 5*(sqrt(891) + (sqrt(891) - (0 + sqrt(891))) + -3 + sqrt(891)).\nAnswer: -11 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2 + 5*p + 4*p + p**2 + 5 - 4*p. Determine j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 1 - 3 = 4*t, 2*t = -3*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 4*p - 10, -5*d = -p + 7. Let t be (5\/p)\/((-2)\/4). Find the common denominator of t\/20 - 7\/(-20) and 18\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from kexqegee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2530 = 6*i. Suppose 5*q - 7*q = -i. List the prime factors of q.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.967 + 0.033. What is the second smallest value in o, 40, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - -2. Solve p - 3 = -2*k + 5, -m = -5*p - 5*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4466 and 7511?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v - 7. Let i be s(5). Let n = 4 + i. Let k be (3 + (-9)\/n)*2\/(-3). Is -5 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 2*f**2 - 567*f - 568. Determine q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6043, 6347, 6859, 7585, 8531, 9703, 11107, 12749?\n\"Answer: z**3 + 98*z**2 + 3*z + 5941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204071 is divided by 22669.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5*i*i*i**(-7)\/i)\/(i**6\/i**(-1\/2)))\/((i**(-3)\/i*i*((((i*i**(4\/7))\/i)\/i)\/i*i)\/i)\/(i**(1\/5)\/(i\/i**(1\/5)))) assuming i is positive.\nAnswer: i**(-257\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 m when four letters picked without replacement from {e: 1, w: 3, m: 6, c: 1, l: 4, o: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -2*d - 27. What is the remainder when d is divided by 19*(-9)\/(-12) + (-4)\/16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) 7 (c) 1 (d) 42\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -1\/21*p**7 + 0*p**2 - 1\/4*p**4 + 0*p**5 - 2*p + 0*p**6 + 0*p**3 + 0. What is the third derivative of f(j) wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -70, -67, -62, -55, -46?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (63\/2)\/9*106. Suppose -6*p = p + n. Let y = p + 59. Solve 3*i - y = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-4))\/(1092\/(-13468)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1952*b - 6*s = -1950*b - 32, 2*b - 2*s = -24. Let o be 2*3\/2 - 3. Put o, b, -6 in ascending order.\nAnswer: -6, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-19)\/(-171))\/((-4)\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1400)*2 + sqrt(1400))*3)\/(sqrt(18)\/sqrt(441) - (3*sqrt(50) + sqrt(2)))*5.\nAnswer: -3150*sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223214977 is divided by 3460?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 5*w - 10. What are the prime factors of 2 + 0\/w + 4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 16*n**2 - 11*n - 48. Let x be d(17). Is 11 a factor of (16\/(-10))\/(x\/(-14985))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 + 13 = 0. Let c(v) = 7*v - 4. Calculate the least common multiple of z and c(6).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/60 + d**4\/4 + 2*d**3 + 3*d**2. Is 14 a factor of f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1\/(y\/(y**(1\/2)\/y)*y)*y*y\/(y\/((y*y\/((y*y**(1\/2)*y)\/y))\/y))*y**1*y assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 17*v + 21. Let q be x(-16). Let a(n) = n - 4*n + q*n. Let z(i) = 5*i**2. Give z(a(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75.961 + 0.039. Let v = n + -79.3. Let y = 3.47 + v. What is y rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -13, -3, 25, 77, 159, 277, 437?\n\"Answer: u**3 - 9*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/10560 and 89\/2124?\nAnswer: 1869120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-10) + (-10)\/25. Suppose r*g = 104 - 4. Let u = g + -42. Solve 0 = 3*y - u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -769294.\nAnswer: -5\/769294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050150251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 86726, 2\/7, -2, 0.16, -1\/8 in descending order.\nAnswer: 86726, 2\/7, 0.16, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - p**2 + (8*p - 5*p + 8*p)*(3*p + 0*p - 2*p) - p + p + p**2 - p**2 + 0 + 0 + (3*p**2 - p**2 + 0*p**2)*(2 + 0 + 0) - p**2 + 2*p**2 - 2*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -101621?\nAnswer: -101525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 18}. Give prob of picking 2 k and 1 s.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 820*a - 816.\nAnswer: -4*(a - 204)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5150, 3 in increasing order.\nAnswer: -5150, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 11*x - 7. Let n(f) = -f + 4*f - 1 + 0*f. Let h be n(x). Solve -2*r - 3*u - 19 = 3*r, 5*r + h*u + 21 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*n + 1. Let k be 1*n - (-390)\/3. Suppose 0 = 4*j + 16 - k. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8633656?\nAnswer: 2, 149, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knskxxyssknndyykxkns. What is prob of sequence sx?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*h = -46, x - 2229 + 2273 = -5*h. Are x and -26\/1307 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 0*q + 14*q**2 + 2 + 0*q as d*q + o*q**2 + f and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5256\/(-438) + (1\/(3\/12) - -444))\/4?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3553903914 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/120 - 2*a**5\/15 + a**4\/3 + 2*a**3\/3 - 589*a**2. Calculate s(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*w - 6, 2*w - 2*n + 1 - 3 = 0. Let m(z) = -4*z + 8 - 2*z - 3 + z**2. Let h(u) = -3*u**2 + 17*u - 14. Let b(r) = w*h(r) - 8*m(r). Factor b(p).\nAnswer: (p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/24)\/(15\/24*-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, -25, -2\/63, -2\/13?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 3:16 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 - 29*b**2 - 9*b + 10. Give t(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v - 7. Let u be y(-5). Find the second derivative of -u*t - 3*t + t**3 + 5*t wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 + 4.4. Let d = 125.822 - 127.02306. Let x = g + d. 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: Simplify -6*(-3 + sqrt(68)).\nAnswer: -12*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*(q*q*q*q**(-15\/7)*q*q)\/q)**(-13\/6) assuming q is positive.\nAnswer: q**(-299\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 565\/19210 + 70\/68?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01981 - -226.88019. Let c = k + -227. Is c != 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134058 is divided by 104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 32 - 5 - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.15 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 692756 at least 692761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 75\/27 + (2 - (-144)\/(-81))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78.2 + -78. Let m be ((16\/(-12))\/2)\/((-12)\/(-18)). What is the nearest to m in p, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 - n - 13. Let j(m) = -20*m**2 - 2*m - 38. Let r(a) = -6*j(a) + 17*k(a). Let i be r(3). Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Suppose -4*r = a*t - 2, 2*r = -4*t + t + 7. Suppose t = 5*z + q, 0*z + 3*z + 6 = 2*q. Solve z = b - 5*l + l + 4, -5*b + 2 = 2*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r - 223. Let d(q) = -6*q - 221. What is 6*d(a) - 5*o(a)?\nAnswer: -a - 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-7998)\/(-12))*-2. Suppose 5*a - k = -189. What are the prime factors of a?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/110*12 + 9*4152\/540.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -13)*(-3)\/(-2). Let d be (-49)\/14*8\/(-14). Does 4 divide ((-112)\/n)\/(d\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195 (base 12) to base 7\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-40)*-1*0\/7)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3\/4*p**3 + 1\/4*p**5 - p + 19\/4*p**2 - 7\/4*p**4 = 0. Calculate p.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1592\nAnswer: -159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2809403*n**5 - 6*n**4*o**2 + 9190*n**2*o**2 - n**2*o - 87*n*o**2 - 2 wrt n.\nAnswer: -168564180*n**2 - 144*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -92. What is the closest to n in 0.4, 4\/3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*f**4 - 40*f**3 + 39*f**2 + 36*f - 27 = 0. Calculate f.\nAnswer: -3, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37\/68 + -11\/17. Find the common denominator of m and 89\/238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*k - 9*g**2 - 51*g*k wrt g.\nAnswer: -6*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -46. Calculate the greatest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*t - 2 + 27 = 0, t - 2 = 0. Suppose 3*a = -4*l + 1 + 18, -5*l = -h. Solve q = 5*z - 2*q + 19, -z = a*q - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866978765?\nAnswer: 5, 7, 81913679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 354319518 to the power of 1\/2, to the nearest integer?\nAnswer: 18823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(99\/(-39)) + 84\/63 - -20?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**2 + 12*g - 2. Let q(l) = l + 1. Suppose 2*o + 6 = 4. Let w(h) = o*u(h) - 2*q(h). What is the second derivative of w(s) wrt s?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {e: 1, r: 1, i: 4, x: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3, 0 = -5*s + 5*o - 0*o + 5. Suppose s*g - 7*g - 20 = 0. Is g*3\/(-4)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/100*10*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26132749015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 1. Let a be b(-2). Let o be 10\/6 + (a - -2). Is o smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Solve -r = r - g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2. Let m(b) = b - 5. Let c be m(10). Suppose 10 = a - 0*v + 2*v, -a = -3*v + c. Suppose -8*s - 8 = -a*s. Determine w(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5975*b**2 + 5953*b**2 + 6179*b**2 - 18136*b**2.\nAnswer: -29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 58 = -h, -4*d + 996*h - 1015*h = 1087 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/45))**(2\/21)\/(t**(-1\/31)*t*t**(2\/43)) assuming t is positive.\nAnswer: t**(-1282972\/1259685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1619 + 1627. Calculate the highest common factor of 104 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 4*v**2 - 2*v - 3. Let u(o) = 6*o**3 + 11*o**2 - 5*o - 8. Suppose 15 = -0*g - g + 4*a, a = -g. Give g*u(s) + 8*f(s).\nAnswer: -2*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c13b (base 13) in base 14?\nAnswer: 998b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54338753 or 1032436314\/19?\nAnswer: 54338753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 74*o - 468 = 0. What is the smallest common multiple of 35 and o?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.27059 months in millennia?\nAnswer: 0.0226058825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + u - 80. Calculate the greatest common divisor of 64 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)\/x)**(-1\/11) assuming x is positive.\nAnswer: x**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**3 + 23*z**2 - 6*z - 6. Let o(s) = -4*s**3 - 20*s**2 + 6*s + 5. Let j(g) = 6*o(g) + 5*r(g). Determine j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-seven quarters of a millimeter?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(1 + (-42)\/35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 190. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*w**5 + 8*w**5 - w**2 - 23*w**2 + 11*w**2 + (1 - 2 + 3)*(-38*w**3 - 53*w**5 + 38*w**3).\nAnswer: -108*w**5 - 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(25\/2)\/(g**30*g))**(1\/8) assuming g is positive.\nAnswer: g**(-37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73834 and 2479?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*o**4 - 25760*o**3 + 22032*o**2 - 44032*o\/7 + 4192\/7.\nAnswer: 2*(o - 262)*(7*o - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(20)\/sqrt(4) + 4) - (4 + sqrt(25)\/sqrt(5)).\nAnswer: -8 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 7*b + 5, -b = -5*x + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4)*v)\/v**(-19))\/((v\/v**(-2))\/v)**(-20) assuming v is positive.\nAnswer: v**(239\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 21*b = 42. Suppose 0 = 3*p - 5*p - b, 2*p + 3 = -i. Solve -6 + 18 = -i*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703056396 to the nearest integer?\nAnswer: 26515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2404*a - 158762. Calculate l(-66).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05206643 - 2977421.94793357. Let x = v - -2977421.92589206. Let m = x + 0.0741. What is m rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -214, -322, -430, -538?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6402 + 10723. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**7\/70 - p**6\/90 + 5*p**3\/3 - 5. Let a(s) be the third derivative of l(s). What is the third derivative of a(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + 7 - (0 + (-2 - -469)). Let v be f*4\/10*5. Let m = v + 278. Round m to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-12))\/((-4)\/(-80)). Let w(x) = -x**3 + 7*x**2 - 9*x - 2. Let g be w(a). Solve -g*p - 16 = -2*y, 4*y + 3*p + 14 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13773246 is divided by 2834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w + 37*w + 190 = 0. Sort w, -2\/131, 0.4 in descending order.\nAnswer: w, 0.4, -2\/131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:29 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12403393*b**3 - 27140748.\nAnswer: -37210179*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(49*z**4 + 129*z**3 - 129*z**3) + (0*z**2 + 4*z**2 - 2*z**2)*(-4*z**2 + 2*z**2 + 4*z**2).\nAnswer: -45*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 19\/2 (b) -1\/5 (c) 9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-90))\/((-10)\/66). Let n = -390944137\/600 + 651573. Let m = n - d. Find the common denominator of -69\/8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -8 (c) 0.024 (d) 0.8 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 69 + 19 = -3*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 334620?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -1369518612?\nAnswer: -1369518608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18102813 and 46257.\nAnswer: 2721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4305 and 79296091?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1))\/(v\/v**(-6)*v)*(v\/v**(1\/7))\/v**(-1\/2)*v\/v**(-2\/3)*v\/(v*v*v**2)*v*(v\/v**0)\/v**5 assuming v is positive.\nAnswer: v**(-461\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 10*q + 27. Let k be s(-6). What is the greatest common factor of k and 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012045 to six dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let j(m) be the first derivative of 38 - 1\/2*m**2 - 1\/4*m**4 + m - 1\/3*m**3. Determine j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + 84\/(-132).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/(-660))\/(5\/60)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/3 - 14801*i\/3 + 79024 = 0. Calculate i.\nAnswer: -14817, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 5994\/11 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 2747?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -156880 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38060318 is divided by 1084?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4370 or 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9825 or -15969?\nAnswer: -15969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 2. Let b be j(-1). Suppose 0 = -5*u - b + 5. Let k(o) = -21*o - 1. Give k(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*s + 114. Let g(j) = -s - 13*j + 103 + 3*j. What is the remainder when g(-6) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -8*p - 16. Suppose n - p*n + 15 = 0. Suppose -196 = -2*h - q - 59, 3*h = -n*q + 223. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5004491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 4*m - 556 + 5*m - 12*m as s + h*m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 8*a**2 + 9*a + 5. Let u be x(9). Suppose -u*p = -59 + 39. Is 4 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -2\/3*r**4 + 1\/720*r**6 + 0 + 11*r + 0*r**2 - 1\/60*r**5 + 0*r**3. Let z(k) be the third derivative of p(k). What is z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473360418?\nAnswer: 2, 3, 26297801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 13*y**2 - 21*y + 27. Let l be h(-11). Suppose 12*b = l*b - 7736. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35290 - 35286. Let d = 3 + -1. Solve -3*h - 19 = d*u, -6*u - 37 = -u + w*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.2 + 6. Let t = 4 + l. Let q = t + -1.3. What is the biggest value in 0.1, q, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64454 - -108750. List the prime factors of i.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100102 (base 3) in base 5?\nAnswer: 122003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(((-1105)\/(-52))\/(-17))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by 4899.\nAnswer: 114\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98909 - -174362. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/7 + 25*w\/7 + 26\/7.\nAnswer: -(w - 26)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67 and 0.03?\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -21, -78, -171, -306, -489, -726?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslhllslwos. Give prob of sequence wh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 0))*-1*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2186 = n - 2*n - 3*d, 0 = -3*d. Suppose -12*z + n = -226. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let d be x(-6). Which is the nearest to -1\/3? (a) 0.2 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-532)\/114)\/(1\/(-6)*172\/301).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l = 24*l - 5335. Solve -l*h = -59*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13498\/13 or -1038?\nAnswer: -1038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35*33\/5775)\/(-3*(-2)\/1410)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963863.\nAnswer: 3, 11, 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 210, 207, 204, 201, 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 875013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5028 in -3, 5, -5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/3150*-10*10\/(-4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Suppose -i + 8 = -r, 0*r = -k*i + 2*r + 55. Let x = -6 + i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 - -263935.\nAnswer: 263938.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56761 + 56760.8. Let z = 1 + 0. Which is the third biggest value? (a) z (b) u (c) -14 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeaeae. What is prob of sequence ee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 157787045 to the power of 1\/2, to the nearest integer?\nAnswer: 12561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2440964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 249375081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/48)\/((-72)\/81)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.027 - -0.373. Which is the nearest to -1? (a) -4 (b) k (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 443 - 445. Put 0, -24, i, 4 in descending order.\nAnswer: 4, 0, i, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 1246.\nAnswer: 22\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 8*v = 5*r + 30, 4*r + 5*v - 16 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i - 1. Let h(y) = -3*y**2 + 37*y + 94. Let w(d) = -h(d) + 4*j(d). Let r be w(-30). Find the common denominator of -31\/16 and (34 + r)*6\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714575 is divided by 142911?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922 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 third derivative of -m**2 - 3*m**6 + 0*m**6 + 0*m**2 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16342 - -16345. Solve -20 + 11 = -z*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/27*(-72)\/12. What is the nearest to 0 in l, 3\/7, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 560 = 5*z. Let l be -2 + z\/30 - 736\/(-120). Solve y = 2*t - 3*y + l, -5*t + 2*y = -17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, 1, -2, 51, 417?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 8:16 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((185\/(-74))\/((-15)\/(-100))).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n + 48*n = 37*n - 1512 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -54 in descending order.\nAnswer: 7, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1487 < -10208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -356614 divided by -356614\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269846.\nAnswer: 2, 134923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*m + 3*h, -5*m - h + 1 = -3*m. Let n = -4 - -4. Suppose n = -k - k + 4. Solve -16 = -4*z, k*s + m*z = -2*z + 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 33. Let k = 13 + w. Suppose 2*t + 3 = n, -4*n - t - 3*t = -k. Solve -n*m = -0*d + 2*d - 14, 3*d = -3*m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 5*j**7\/14 + 7*j**4\/4 + 10*j. What is the third derivative of g(p) wrt p?\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/33, -24, -5\/194?\nAnswer: -5\/194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001215305 rounded to 6 decimal places?\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3\/4, -1\/3, -3, 1\/12, -1\/19, -2, -102\/25?\nAnswer: -102\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (21 + -11) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3476 - 1114. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -412*n - 20. Let j(t) = 136*t + 6. Let q(w) = -7*j(w) - 2*o(w). Let a(h) = 5*h. Calculate a(q(y)).\nAnswer: -640*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*p - 4, 5*g = 7*g + 2*p - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7398 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 - 138 = -3*t - l, -2*t = 5*l - 148. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6919420 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/3 (b) -6 (c) 0.25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 7, q: 2, f: 2, h: 1, z: 1}. Give prob of picking 1 q, 1 t, and 2 e.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 x, and 1 g when four letters picked without replacement from {y: 7, g: 1, s: 3, e: 1, x: 4}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 85*x + 20297. Determine n(191).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12388, -12296, -12220, -12166, -12140, -12148?\nAnswer: -12196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:10 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5280546*o**5 - 4*o**2 - o - 50920?\nAnswer: 316832760*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 1. Let r(x) = -12*x**2 + 46*x + 6. Let t be r(4). Let l(z) = 7*z + 2. Calculate t*l(k) + 5*g(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 1, g: 4, m: 2, k: 1}. What is prob of sequence gkm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 3*i, 5*m = m + 4. Let h(u) = -2*u + u**2 + 3*u**3 + 5 + 17*u**3 - 4. Let v be h(i). Calculate the greatest common divisor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52058 - 0?\nAnswer: -52058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00886 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 6)*(0 - 2 + 0) - 2 - 5 + 5 + 1 + 0 + 0 + 3 - 5 + 3)*(12*d + 59*d + 15*d).\nAnswer: 344*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26112 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2*i - 6. Let v be b(6). Let t be ((-55)\/(-10) - 5)*10. Suppose -167 = -t*w + v. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273405585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -2\/5, 5, 5\/4, 3, -2\/9.\nAnswer: -2\/5, -2\/9, 0.09, 5\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 2, e: 1, n: 2, i: 1, s: 1}. Give prob of sequence necb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 21 + -9 - -4) + (-4 - -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/(-145))\/((-156)\/1300).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*g**4 + 2 + 27*g - 32*g + 42*g**4 + 2*g**3 in the form o*g**3 + j*g**4 + a*g**2 + c*g + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 4*c - 15, -4*c + 25 = -5*f. Let o be 3\/f - 2846\/(-10). Let t = o - 73. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {d: 5, z: 5, r: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -13*r + 8*r + 4, z - 11 = 2*r. What is the remainder when 23 + z\/7 - -2 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57632.83 nanometers?\nAnswer: 57.63283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d**3 - 228*d**2 - 374*d + 84 = 0. Calculate d.\nAnswer: -21, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*v + 11, -4*v - 104*b + 107*b = -18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27159106.32 to the nearest 10000.\nAnswer: 27160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 33 = -3*y, -y + 22 = -3*y - 4*w. Suppose -2*b - 13 - 13 = -2*q, 3*q = -3*b - 63. Let c = y - b. Solve -4*u = -2*u - c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l + 32 - 142. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-923)\/(-494))\/((-10)\/16) - -3. Is -1 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -2*sqrt(84))\/sqrt(6) + 1*sqrt(14)*-5)\/(sqrt(28) - (sqrt(28) + 1*sqrt(28)*6)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 plus 118.139125?\nAnswer: 47.139125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -41*h + 6. Let i be z(-5). Let g be (-5 + (-36)\/(-8))*(1 - 295). Let m = i - g. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 f, and 1 q when four letters picked without replacement from kfakqsqkbsqafq.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3\/2 - 8967*z**2\/2 - 8973*z = 0.\nAnswer: -2, 0, 2991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16501.63l in millilitres?\nAnswer: 16501630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = 72, -n - 21440 = 2*g - 21450 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*m**2 + 0 + 1 - 273*m**2)*(1 - 2*m**2 + 3 - 6).\nAnswer: 620*m**4 + 618*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgep when four letters picked without replacement from {e: 3, x: 5, g: 3, o: 3, p: 4}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1423378222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 12375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 + -344. Let k be ((-108)\/1449)\/(v\/63). Factor -2\/23*t**3 - 30\/23*t - 14\/23*t**2 - k.\nAnswer: -2*(t + 1)*(t + 3)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, 2.71, 47, 4 in descending order.\nAnswer: 47, 4, 2.71, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/5 + (-2)\/(-5). Suppose -3*m + p*g = -g - 22, 4*m - 30 = 5*g. Let i be ((-128)\/m)\/(4\/(-4093750)). What is i rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 999, 7488, 24967, 58932, 114879?\n\"Answer: 916*g**3 - g**2 + 80*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -73162.6599?\nAnswer: 73152.6599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1\/3, 1, 63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*f + (-18 - 4 + 4)*(3*f - 5*f - 2*f))*(3*f**2 - 6*f**2 + f**2).\nAnswer: -138*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/7 + 24*b**4\/7 - 66*b**3\/7 - 68*b**2\/7 + 24*b + 144\/7 = 0. What is b?\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.01? (a) -1 (b) -0.1 (c) -4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-2070)\/36)*120\/(-33).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -506823 - -352823. What is w rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9))**(-29)\/(k\/k**1)**(7\/4))**(-2\/21) assuming k is positive.\nAnswer: k**(-116\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5664557 + 2*s - 5664560 + s as i*s + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - 1. Let v = i - -21. Solve v*d - 10 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -790, -1137, -1426, -1639, -1758?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17939*j**3 + 6665*j**3 + 11430*j**3.\nAnswer: 156*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 8*i - 15. Let v(b) = -2*b**2 + 37*b + 21. Let y be v(19). Let w be x(y). Solve h - w*z - 2 = 0, 5 + 5 = 5*h - 5*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38386, -38384, -38380, -38374, -38366?\nAnswer: -38356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 11. Let f(y) be the second derivative of 5*y**3\/6 + 21*y**2\/2 - 6*y - 52. Determine -4*f(s) + 7*r(s).\nAnswer: s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-333)*(0 + -8). Let a = m + -2\/37. Sort 2\/13, a, -3 in ascending order.\nAnswer: -3, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 1, -4*b - z + 18 = 3. What is the third smallest value in b, 1, -3\/2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = 4*w. Let z(b) = -b**3 + 3*b**2 - 5*b + 4. Let k be z(3). Let h = w - k. Calculate the highest common divisor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 - 3*h - 8. Let o(z) = -3*z**3 - 20*z**2 - 8*z - 23. Let m(p) = -3*o(p) + 8*w(p). Let b be m(-5). Let a = 29 + b. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:41 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 32562 - 32562 - 13*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 10*l**2 - 9*l**2 + 17 + l**3 + 2*l**4 + 21*l**2 + 0*l - 82 to the form q*l + i*l**2 + o*l**4 + a*l**3 + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 3)*2 - (-581022)\/(-3438)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.4, 4\/9, 2.8, -4\/7, 18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2407871279 to the nearest integer?\nAnswer: 49070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105\/4 - 26. Let d be 40\/48 + (-1)\/3. Let r be -1*((-10)\/8 - -2). What is the second biggest value in j, r, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czc when three letters picked without replacement from occtctoottoctcz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -400, -640, -942, -1306, -1732?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 25 = -2*j, -j = 5*b - 34 + 11. Solve 5*g = -5*t + 10, -3*t - 4*g = -t - j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -24, 2 in increasing order.\nAnswer: -24, -8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*a + 47 = 0, u + 3*a - 5 = -0*u. Suppose 488 = 18*g - u*g. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - a + 3*a)*(-a**2 + 3*a**2 - 3*a**2) - 1095 - 37*a**2 + 1095 - a**3 to the form x + n*a**2 + r*a + c*a**3 and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 577*d**4 - 5*d**3 - 36*d**2 - 19*d. Let v(w) = w**4 + w**3 + 2*w**2 + 3*w. Let h(s) = i(s) + 5*v(s). Find the third derivative of h(q) wrt q.\nAnswer: 13968*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k - 1. Let o be w(3). Let d = o - 3. What is the third derivative of z**d - 3*z**2 + z**6 - 3*z**6 wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2643135 by -165.\nAnswer: 16019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 3*h + 5*h + 19 + 20 to the form n*h + k and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 2353 = 1256 - 4684 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = -2*x - 24, 4*z = -5*x - 43. Let o be 3\/((42\/(-16))\/x). What is the remainder when (-1)\/4 - (-458)\/o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/5 - 36*r**3\/5 - 174*r**2\/5 - 28*r = 0?\nAnswer: -10, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/12 - 5*n**4\/3 - 40*n**3\/3 - n**2\/2 - 11*n. Let b(q) be the first derivative of t(q). Factor b(z).\nAnswer: -5*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 19*(-1)\/5*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28173 - -0.29173. Let x = 3.8 - 0.8. Which is the smallest value? (a) o (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, 2 in increasing order.\nAnswer: 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(208) + sqrt(208))*2 + -4)**2.\nAnswer: -384*sqrt(13) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -243 from 6.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -24761.\nAnswer: 2\/24761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 greater than or equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 + 2046*y**4 + 10182*y**3 + 18300*y**2 + 14223*y + 4062.\nAnswer: 3*(y + 1)**3*(y + 2)*(y + 677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 39030*p + 663233. Give a(-17).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59145 (base 10) in base 2?\nAnswer: -1110011100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 80*m**2 + 165*m - 3. Let p be g(2). Let q = 29 - 13. Suppose p*i + q = 27*i. Calculate the greatest common divisor of i and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5261700 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**2 - c**2 - 2*c**2)*(-16234 + 17982*c**2 - 17983*c**2 - 16326) to z*c**2 + u*c + b*c**4 + h + l*c**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 142 + 158)*(0*g + 3*g - 2*g)*(4 + 4 - 3).\nAnswer: 1605*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 75 - 63 = 0. Suppose 5*l = 25, -2*f = 2*l - 5 - 5. Solve -5*o + o = t*k - 22, f = -o + 2*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 2. Let n(l) = l + 1. Let y(o) = -17*n(o) - 6*x(o). Let a be y(10). Suppose 9 = f + 2*s - 7, 5*f = 5*s + a. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 2. Let f(s) be the second derivative of 0 - 2*s + 3*s**2 + 1\/6*s**3. Let j be f(-4). Let c(k) = k - 1. Give j*q(x) - 4*c(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, q: 1, c: 1}. What is prob of sequence chh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24888193 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16712905 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-2\/5)*m)**(-33)*(m**(-3))**(7\/3))**(-4\/9) assuming m is positive.\nAnswer: m**(1856\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -12*v**7\/5 + 8579*v**3\/6 + v**2 + 537. What is the derivative of q(j) wrt j?\nAnswer: -2016*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.03\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/2 + 280*z**4 + 11043*z**3\/2 - 11473*z**2 - 398566*z + 794388 = 0.\nAnswer: -14, 2, 7, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let k(a) be the second derivative of 5*a**3\/2 + 2*a**2 + 378*a. Determine -k(f) - 6*y(f).\nAnswer: -9*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.352 + -0.648. Put 26, o, -3 in decreasing order.\nAnswer: 26, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17307671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + (-26)\/8. Suppose 22 = 4*u + 6. Suppose 3*r - 3*f - 6 = 0, 2*r + 0*f - u = 4*f. Sort 5, s, r in increasing order.\nAnswer: s, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -20. Let q(l) = l + 2. Let i be q(n). Let g = -9 - i. Solve 0*p - p - 4 = g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w. Let n(j) = -3*j. Let y(b) = 5*n(b) - 4*x(b). Let q(o) = 375 - 753 + 378 - 4*o. Calculate y(q(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5772737?\nAnswer: -2\/5772737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 846.7982 millennia?\nAnswer: 846798.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/460*(-8 + 93\/12).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560389 - -143120.\nAnswer: -417269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2332714 centuries to years.\nAnswer: 23.32714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70111995 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 3\/5, 42 in ascending order.\nAnswer: -3, 0.1, 3\/5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1186612065*n*z**2 + 113*n - 3524086*z wrt z?\nAnswer: -2373224130*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -439 - -439.239. Round b to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 702911 in ascending order.\nAnswer: -4, -2, 702911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*j + 61*p - 56*p, -2*j - 3*p = -14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*x**5 - 102*x**2 + 4 wrt x?\nAnswer: 10740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 37*o + 55 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -382690666 - 1232109334. Round s to the nearest 1000000.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 - -192.2. Let s = 22.79776 + v. Round s to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -348 - -498. What is the highest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 15 = p, -2*m = -5*p - 19 + 28. Let r(c) = -5 - 6*c - 2*c**3 + 6*c**2 + 3*c**3 + 0 + 0*c**2. Calculate r(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*c + 570. Let b = c + -169. Calculate the least common multiple of b and 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527241170 divided by -7607.\nAnswer: -69310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/3)))**(10\/7)*c**(-9)*c**(5\/3)\/c*(((c*c**(-1\/2))\/c)**(-44))**(-2\/105) assuming c is positive.\nAnswer: c**(-1019\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1 + 4 - 2 - 4 + (-4 + 4 + 2)*(-4 + 2 + 4) - 6 + 0 + 5)*(-1 + 3 - 3)*(12*v - 7*v + 6*v).\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 404*p**2 - 4697*p + 2743. Calculate a(-392).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -279729050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24 = -0*n - 4*n, 0 = 4*n - 16. Suppose q*k - 1 = 7. Solve -2*h - 12 = k*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/98*(-21)\/18*0. Suppose 0*q - 5*q = -50. Let y = -6 + q. Solve 4 = -i*j - y*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 46*f = -105. Which is the nearest to -0.01? (a) 0.3 (b) f (c) 11\/4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1 (c) 3\/7 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.34 - -0.75. Let f = b - 0.2. What is f rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u - 12 = 0. What is the first derivative of u*j**2 + 2*j + 2*j - 11 - 4*j wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**(-2\/17)*z))\/z)**(-34))**23 assuming z is positive.\nAnswer: z**1656","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) 2\/15 (c) 0.5 (d) 4.3 (e) 26 (f) -7 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 41*i - 9. What are the prime factors of c(3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -267a5a?\nAnswer: -267a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-303)\/(-202))\/(16\/(-2))*4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmgmvlvvvmwmgvm. Give prob of picking 1 l and 2 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 134 + 70 + 2*x + x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.65533 years to decades.\nAnswer: 7.765533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 27*y + 165. Let a be t(28). Solve 148*n + 55 = a*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 444180909*g**4 - 78120348*g.\nAnswer: 5330170908*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 18, -12*j = -14*j + 4*l + 30. Solve -2 = j*q + 5*f, 5*f - 8*f - 10 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8275 divided by -596\nAnswer: -8275\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62a5b8 (base 12) to base 8.\nAnswer: 5730334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10743623 is divided by 699.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2156 by 92.\nAnswer: -539\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 3\/((2 - 0) + 1). Suppose -i*r + 8 - 26 = 0. Is (r\/(-6))\/((-5)\/(-3410)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-1)\/(-4))\/(7 + (-27855)\/3980)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 + 4779*i\/5 + 14346\/5.\nAnswer: -(i - 4782)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(3\/2)\/((z\/((z\/(z*z**(8\/7)*z*z*z))\/z))\/(z*z**(-2\/5))) assuming z is positive.\nAnswer: z**(-194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - 6 - (-2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4118 + 4120. Solve -5*k - 2*h + 17 = 0, -5*k + 39 = -4*h - i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 367 + -117 + -151\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 3*v + 30. Let n be j(0). Calculate the highest common divisor of n and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 703794980 to the nearest 100000.\nAnswer: 703800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let v be 1*1*21\/(-7). Let j be (-9 - n)\/v - 1. Let z(q) = 2*q**3 - q**2 - 2. Give z(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from dsomooodsdd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5\/(-140)*(-24)\/1584*-42.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4, -3*z - z + 5*k - 35 = 0. Suppose 3*t = -5*w + 4, 4*w + 1 = -2*t + 7. Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x - 2. Suppose -t - 15 = 3*r, 2*r - r - 3*t + 5 = 0. Let b be j(r). Suppose d + 110 = b*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/24 and 149\/132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.0711.\nAnswer: 0.01422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 8*k**2 + 10*k - 10. What is j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79108 + -82438.3. What is u rounded to the nearest ten?\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((594\/(-9))\/(-6))\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/21*k**2 + 46\/21*k**3 + 0 - 8\/7*k + 10\/7*k**4 = 0.\nAnswer: -6\/5, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 658191.\nAnswer: 13\/658191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/5 and -64\/14025?\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 6*g - 5. Suppose 0 = 2*m + m - 12. Suppose -l + 3*l = r - 9, 4*r - m*l - 28 = 0. Calculate n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0662 in 2\/3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 6*l + 5. Let r be f(3). Let i(p) be the third derivative of -p**6\/120 + p**5\/15 + p**4\/8 + 7*p**3\/6 - 2*p**2. Calculate i(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let s = 5.84 - 2.84. Sort s, i, -0.5 in descending order.\nAnswer: s, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25e7 (base 15) to base 12.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1115 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - -1. What is g rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/(-168))\/(6860\/24). Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125079 is divided by 1869.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 12 = 0. Let p be 49\/14 + (-2)\/y. Let l = 8 - p. Solve -3*a = 2*a - l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*b + 12615 = 0, 21*b = -5*j + 22*b + 21049. What is the greatest common divisor of j and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-112)\/(-20) + 4\/10*1 and 2\/8 + 14\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 3. Let g be d(-2). Let y be 11\/(-7) + 6\/(-14). Let t = -2 - y. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19. Suppose 5*c - l + n*l - 60 = 0, -4*l = 4*c - 72. Calculate the greatest common factor of c and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*b + 4184 - 45033, -3*r + 16350 = 2*b. Is (-1)\/2 + b\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1563158924 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/24)\/(2\/(-8)). Let w be 10\/2 - (1 + 1). Let d be 15\/(-18) + 1\/w. Which is the smallest value? (a) x (b) d (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 13 = -m - 9, 0 = 5*f + 5*m - 40. Suppose -t - 146 = -5*l, 5*l + 5*t - 130 = f*t. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.27 (b) -274 (c) 2.7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66367 is divided by 3291?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/30)\/(5\/30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -547, 4, 5, -1 in increasing order.\nAnswer: -547, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52.6 - 19.6. Sort -3, o, 2 in decreasing order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10 and (0 - 0) + 824\/(-288).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:12 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -47*l**2 + 4*l. Let k(n) = -2*n - 86. What is o(k(f))?\nAnswer: -188*f**2 - 16176*f - 347956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/(6\/36). Let u(s) = 6*s**2 + 9*s - 2. Let z(o) = 3*o**2 + 5*o - 1. Let f(t) = -3*u(t) + 5*z(t). Give f(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -394, -398.\nAnswer: -398, -394, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*r**4 + 86*r**2 + 1.\nAnswer: 5496*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.7 - 5. Let w = h - -1. Which is the second smallest value? (a) w (b) -1 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9188445260 rounded to the nearest one million?\nAnswer: -9188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 - r + 1. Let g(v) = 15*v**2 - 2*v + 2. Let j(t) = 3*g(t) - 8*s(t). What are the prime factors of j(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -36, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/3)*b*b**(-1\/9) assuming b is positive.\nAnswer: b**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 53*r + 539. Let v be x(35). Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a - 26 + 26. Let r = 5 + -5.3. What is the nearest to a in 1, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-144)*4*(-29)\/(435\/96).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*h + q, -3*h = h + 5*q - 11. Suppose -12 - 4 = h*j. Is 2\/j + 239\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16348588*b*m**2 - 29*m**2 - 55*m + 2459 wrt b.\nAnswer: -16348588*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**7*t**(-12\/5) assuming t is positive.\nAnswer: t**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*t = 86*t + 424305. Solve -t = -18*p - 963 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (1 - (17 + -8 - -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*k + 15. Suppose -k*z = -15*z + 1066. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -44 + 29. Let q be 980\/14 - (-2 + w). What is the greatest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104727?\nAnswer: 3, 7, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*((-6)\/16)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (3 - 7) - (-5 + -1) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309342, 1237116, 2783328, 4947984, 7731090, 11132652, 15152676, 19791168?\nAnswer: 25048134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 287400?\nAnswer: 862200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2090999874 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**2 + 5. Let w(j) = 20*j**2 + j - 9. Determine 5*u(n) + 2*w(n).\nAnswer: -5*n**2 + 2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -676 and -38.\nAnswer: 25688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 17. Is -5\/3 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/3))**48*(p**(-2)\/p)**(3\/5))\/((p*p\/(p**7\/p)*p*p\/(p*p\/p**1))\/(p*p**(2\/13)*p*p\/p**(-3\/8))) assuming p is positive.\nAnswer: p**(35739\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2a3d (base 16) to base 7\nAnswer: -43345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjjp when four letters picked without replacement from vjjojjjoojpovvv.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6278245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 2*p**2 + 5*p + 8\/3.\nAnswer: -(p - 8)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*k - 2*k**3 + 0*k**3 + 99*k as c*k**2 + s + f*k**3 + t*k and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1764\/70)\/(-3))\/(1\/(-10)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/169, -4, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m - 4 - 3 + m**2 - 7*m. Suppose -4*w + 2*w = -8. Calculate the smallest common multiple of l(5) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 956*l**2 - l. What are the prime factors of w(1)?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/1 + 0 + -2. Suppose 0 = -5*j - a*p + 2*p + 16, 2*j + p - 4 = 0. Differentiate -6*g**4 - 4 + 2 + 3*g**j - 1 wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/4 - 1901*f**3\/2 + 18985*f**2\/4 = 0.\nAnswer: 0, 5, 3797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -405, -1352, -3199, -6246, -10793, -17140, -25587?\nAnswer: -36434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 63*m**5\/5 + 129*m**4\/2 + 92*m**3 + 12*m**2 + 2057. Factor d(x).\nAnswer: 3*x*(x + 2)**2*(21*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 + 19 = 0. Let s(h) = h**2 - 19*h + 94. Let c be 238\/26 + ((-160)\/26 - -6). Calculate the remainder when s(c) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 - -40517?\nAnswer: 40349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = 4*r. Let h(w) = -w**3 - 5*w**2 - 2*w - 2. Let u be h(r). Let n = u + 21. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:44 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17429, -17435, -17441?\nAnswer: -17447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m - 12\/5*m**2 + 2*m**3 - 3\/20*m**4 + 79 - 3\/25*m**5. Find l, given that y(l) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3487 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 40. Let j be (2 + -11)*2\/(-6). Let a = i - j. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*o - 4*y - 20, o - 20 = 4*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 3*a**2 + 1\/15*a**5 + 0*a**4 + 0*a**3 + 0 + 0*a. Find n, given that z(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-15)*175\/15. Suppose -5*p + 3*q = -36 - k, -23 = -p - 2*q. Solve 4*s = 5 - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -862600, -3450365, -7763304, -13801417?\nAnswer: -21564704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 41*r + 218. Let z(w) = -8*w - 43. Let i(g) = 4*q(g) + 22*z(g). What are the prime factors of i(-23)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 270.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -36930*c - 8. Let z(q) = -5274*q - 1. Give -2*j(h) + 15*z(h).\nAnswer: -5250*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 0, 1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:05 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -15) + (-19 - (1 - -1 - 14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 15 = 50. Suppose -262 - 153 = a*l. Let m = l - -129. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 69438. Let l(k) = -646*k**2 - k. Give r(l(x)).\nAnswer: 1292*x**2 + 2*x + 69438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*f + 618 = -759 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**5*f))\/(f*f*f\/(f*(f\/(f\/((f*((f**(-3)*f)\/f)\/f)\/f))*f)\/f))*f\/f**(8\/3)*(f**(1\/3)\/f)\/f assuming f is positive.\nAnswer: f**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16542 by -74.\nAnswer: 8271\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -24. Suppose -2*a = -g*u - 22, 0 = 2*a + 2*u + 3*u + 5. Let x = 467\/3 - 152. Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1344.327 kilograms?\nAnswer: 1344327000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**3\/3 + s**2 - 5*s - 1. Let r be m(-4). Let a = 0 + r. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -1\/3 (b) -0.3 (c) 2\/27 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14942 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/6*16\/(-50). Suppose -16 = -3*u - 1. Sort o, 1\/2, u.\nAnswer: 1\/2, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 7. Determine z(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 65016?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-12))\/((33\/180)\/11). Sort 2, w, 0 in descending order.\nAnswer: w, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -1\/24*h**4 + 8*h + 0 + 1\/24*h**5 + 0*h**2 + 1\/6*h**3. Let c(t) be the second derivative of i(t). Calculate c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 446*c + 504*c**4 - 910*c - 1 + 455*c wrt c?\nAnswer: 6048*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:51 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26398 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1)\/((924\/7195892)\/21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1275 - -2570. Is o a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/450)\/(5\/150)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -2.3. Let q = -0.8 + j. Let s = -2 + q. Put s, 2\/15, 1\/2 in ascending order.\nAnswer: s, 2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14111*-2.19\nAnswer: -30903.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = -k, 0 = -2*f + 4*f - k + 9. Let w(n) = 5 - 2*n + 7*n + n - 9*n - 3*n**2. Let i(c) = c**2 - 1. Let z(x) = 2*i(x) + w(x). Give z(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (11 - (-34 + 36))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -24*l - 357. Calculate r(-3).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, k: 10, w: 1}. Give prob of picking 2 z and 2 k.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h - 201 = -57 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*1*-5)\/(sqrt(96)\/(-1*sqrt(12)))*4.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 208001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 18. Let k be p(3). Solve 0 = 4*y - 0*y + 3*f - 11, 0 = 2*y - k*f - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 206*f + 24003. What is u(-117)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y - 1. Let s(v) = 12*v**2 + 6*v + 6. Let g(a) = 6*o(a) + s(a). Let z(k) = 2*k**2. Calculate z(g(m)).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 3. What is z(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(4\/9)\/c)*c**(-5\/6)*c**5\/c**(-4)*(c**(-2\/7))**(-7)\/((c*c*c\/((c**(2\/23)\/c)\/c)*c)\/((c\/c**(-4\/5))\/c*c)) assuming c is positive.\nAnswer: c**(15751\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9152 + -5991. Suppose -6*r = -o - 661. Is 0\/(-3) + r + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 2. Let s be m(-11). Let u be (24\/10)\/((-3)\/(-190)). Suppose 3*x + g = 148, -g + u = 3*x - 2*g. What is the greatest common factor of s and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + -114661?\nAnswer: -115021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + 167. Let o = -64.7 + n. Which is the smallest value? (a) -2\/11 (b) -0.5 (c) o (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7633, 11, 0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2\/(-1 - -37)). Let d be (-4)\/(-14) - h\/28. Let t(l) = l**3 + 2*l**2 + l. What is t(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72763\/77 + -945. Let q = -172\/693 - r. Which is the nearest to q? (a) 2\/5 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -37 (c) 4 (d) -4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 921\/7 >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*n - 21, u - 3*n - 1 - 8 = 0. Solve u*z = -q - 11, 5*z + 17 + 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*i - 107*i - 110*i + 318*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from iijjiiiiijjiij?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -342712\/174009 + -1\/5273. Let m = j - -18\/11. Let p = 0 - -1. Which is the nearest to p? (a) 2\/3 (b) -3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -79*c**2 - 939*c + 141. Give w(-12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/1703 - -88490\/18733. Find the common denominator of q and (-266)\/12 - 4\/(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21*((-348)\/11020)\/(24\/(-140))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/11 in 70, -0.84, -31?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - u**3 + 0*u**3 + u**3 - 5*u + 5*u + (4*u**2 - 2*u**2 - 3*u**2)*(2*u - 1 + 1) + u - u**3 - u + (1 + 4 - 2)*(-372*u + 49*u**3 + 372*u).\nAnswer: 144*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -81*m - 22. Let h be l(-4). Let i = -1229\/4 + h. Find the common denominator of 37\/44 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 + 6*x**3 - x**4)*(0*x - 2*x + x) + 364 - 364 + 13*x**5 + (5 - 2 - 2)*(0*x**5 + 0*x**5 + 2*x**5).\nAnswer: 16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21834269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/186880 and 17\/5760.\nAnswer: 1681920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 575695 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.742603 millennia to decades.\nAnswer: 674.2603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/2 + -9. Suppose -f + 3*r = 4, 3*f = -0*r - 5*r + 2. Let n = 28\/39 - 18\/13. Which is the closest to f? (a) n (b) x (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 554984 + -1664915\/3. Find l, given that 10\/3*l**5 - 1\/3*l**2 + 37\/3*l**3 + 2\/3 - 11\/3*l - u*l**4 = 0.\nAnswer: -1\/2, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (4 - 42)*3670\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/3810 and 131\/192.\nAnswer: 121920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2113, -1810, -1509, -1210, -913, -618, -325?\n\"Answer: -c**2 + 306*c - 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*33\/55.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 24692*p**3 - 31759*p**3.\nAnswer: -56451*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33934397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255.3 - -14.7. Let q = -272 + a. What is the second smallest value in 0.1, 0.3, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y + 67*y + 22*y + 664 = -67*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*p**5\/5 - 1996*p**4\/5 - 19392*p**3\/5 - 34404*p**2\/5 - 18706*p\/5 - 336 = 0. What is p?\nAnswer: -7, -1, -1\/9, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1941 and 4507649.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**6\/15 - 31*o**5\/10 + 68*o**4\/3 - 140*o**3\/3 - 14*o - 8. Factor n(t).\nAnswer: -2*t*(t - 2)**2*(t + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.16 - -0.16. Let a be ((0 - 0) + 1)*0. Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29790080 rounded to the nearest 10000?\nAnswer: -29790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/5, 246576, -0.2, -9?\nAnswer: 246576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -71 + 217. Let v be (222\/8)\/(3\/(-12)). Let l = g - v. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y + 5*x - 13640, 2*y - 3*x - 5476 = 0. Suppose -6*k = -2*k - y. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 1138\/21?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1763 < -8025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j. Let m be b(0). Suppose -3*n + 5*n + 14 = m. Let r(o) = -o**2 - 11*o - 17. Let x be r(n). Solve 0*c - 5*i + 29 = 2*c, -x = -3*c - i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1350*c + 8130. Let k be i(-6). Solve -5*v - 4*o = -k, v - 4*o + 8 = -2*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 1 - 6 + 8 + 6*i.\nAnswer: 11*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2992*w**4 + 10*w**2 + 5806*w + 5. Let g(h) = 1499*h**4 + 4*h**2 + 2903*h + 2. Let k(d) = -5*g(d) + 2*i(d). Find the second derivative of k(x) wrt x.\nAnswer: -18132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-4)\/3*4 - (-51 + 1938\/38))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/27 and -56\/261.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4328883\/31 <= -139640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 522249 - 522249.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4999418884 + 4999418935.00000146. Let l = -42 - -93. Let y = c - l. What is y rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 673*c. Let u(d) = -12*d. Calculate u(q(z)).\nAnswer: -8076*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90527667*n**3 + 456*n**2 + n - 17206?\nAnswer: -543166002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136716, -137957, -139198, -140439?\nAnswer: -141680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*d = -173*d - 629154. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {e: 1, q: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 2 = -9*u + 4*u. Suppose 11 = 2*y - 13. Calculate the smallest common multiple of u and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -920353.\nAnswer: -18\/920353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -143. Find the second derivative of 45*m**2 - 208*m + 221*m - x*m**2 + 1 wrt m.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = a - 17, -4*o + 338 = -3*a + 349 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 + (-802)\/(-14). Suppose 2*p + 0 = 4. Suppose -p*o + 5*o - h = 0. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -191394700 to the nearest one million.\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3256 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19549 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, h: 5}. What is prob of picking 1 x and 2 h?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397*l**3*x - 3*l**3 - 3573*l**2*x wrt l?\nAnswer: 2382*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 1, x: 1, u: 2}. Give prob of sequence xn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 14) to base 2.\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/24 - j**3\/2 + 95*j**2\/2 - 97. Let u(p) be the second derivative of v(p). Give u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 + 78 = 4*g. Suppose 4*s - 82 = 3*l - l, 4*l - g = -4*s. Let h be (1 - 1 - -1) + 1. What is the highest common factor of h and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00216 * -0.5.\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let f be l(2). Let o = -255\/4 - -64. What is the closest to -0.1 in 5, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456 (base 9) to base 3.\nAnswer: 111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15293 divided by -66\nAnswer: 15293\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -0.03?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042634 is divided by 14803?\nAnswer: 14623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1746*p + 12219. What is g(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43560*u**5 + 406*u**4 - 288690209*u wrt u?\nAnswer: 871200*u**3 + 4872*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 2*k**5 - 3*k**3)*(0 - 3 + 2) - k**5 - 3*k**5 + 2*k**5 + 4523*k**2 + 250*k**5 - 4523*k**2.\nAnswer: 246*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 567802127 by -2.\nAnswer: -567802127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -19. Let d(z) = z**2 + 3*z - 1. Let l be d(v). Calculate the highest common factor of 36 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - f - 825 = 0, -2*f = -3*f + 3. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-442) + (-456)\/2964 - (-146)\/(-204).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -11 + 61. Let r = -22 + w. Suppose a = -a + 4. Solve -a*z + q = -6, 0 = -z - r*q - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 293.1, 1.4, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 + 519*f**3 + 3*f - 520*f**3 + 3*f**2 - 4*f**2 - 4. Give k(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39754?\nAnswer: 2, 11, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:35 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -299\/4. Which is the nearest to 2? (a) -5 (b) 5\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6366 + -101925\/16. Calculate the common denominator of 103\/48 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(-4 + 1 + 1) + 3 - 1 - 9 + 4 + 5 - 10)*(-1 - 137*m + 1).\nAnswer: 1370*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + -9 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t. Let v(z) = -4*z**2 - 13*z - 4. Calculate f(v(i)).\nAnswer: -24*i**2 - 78*i - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -1. Let j = 35 - 32. Let i be 11 - c*(2 - j). Solve 4*p = -r - i, 3*r + 4*p = -12 + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-1694.\nAnswer: 152.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 13) in base 11?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*((-4 - 16\/24) + -6)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55 - -3?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4437 + -4437.1. Sort -3, 362, 2\/15, b in ascending order.\nAnswer: -3, b, 2\/15, 362","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -3, 73 in descending order.\nAnswer: 73, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) - sqrt(440)*2)*-4 - sqrt(440))\/((-1*sqrt(60))\/sqrt(6)))\/(-1*(sqrt(4) + (sqrt(192)\/sqrt(4) - sqrt(48))\/sqrt(12))*1).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29 + 3*f**3 + 27 + f**3 with respect to f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18732 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 12, m: 6}. Give prob of picking 2 u.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j - 51*j = -30. Let n(g) = 5*g + 1. Let o(u) = u - 1. What is j*o(p) - n(p)?\nAnswer: p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12*v = -9*v - 143002, 5*v + 142986 = 4*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*2)\/((-36)\/(-4) + -8). Let c(x) = x**3 + 8*x**2 - x + 4. Let b(r) = -4*r**3 - 33*r**2 + 3*r - 18. Let s(h) = t*b(h) - 9*c(h). What is s(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3062556 and 15372.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11)\/w)\/w)\/(w**(3\/14)*w) assuming w is positive.\nAnswer: w**(-467\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - (-4 - -5)) + (-2)\/8)\/(210\/20).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 + 15*b**2 - 121*b - 1599. Determine s(-9).\nAnswer: -3669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:30 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 84*d**2 - d - 4. Let o(q) = 334*q**2 - 6*q - 17. What is -2*o(p) + 9*s(p)?\nAnswer: 88*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 62671.\nAnswer: -62671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrzmkzwrzwz. What is prob of picking 1 k, 1 r, 1 z, and 1 m?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -306, -614, -1044?\nAnswer: -1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, 5, 0 in decreasing order.\nAnswer: 31, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.909 - -0.091. Which is smaller: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81638364?\nAnswer: 2, 3, 19, 29, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Suppose z = -3*u + 6. Suppose -u*m + 3*m = 7. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*a = -29, -2*g + 2*a = -a - 13. Let w = g + -6. Suppose 0 = -5*p + 12 - w. Solve p*t + 0*t + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -223*p - 3276. Let z be o(-15). Solve -5*f - z = -44 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/(-3*(6 + (-116)\/12)). Which is smaller: o or 28?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 7.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4221.3 and -0.5.\nAnswer: -2110.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*c - 14 = 8, 4*c + 28 = 4*i. Suppose 2 = -i*r - 0, 22 = 5*d - 2*r. What is the third smallest value in 0.3, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -935?\nAnswer: -935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*k + 20 = 7, -5*a - 10 = k. Let g be (a - -2)*(-6 + 2). Solve -3*b + g - 18 = u, -2*b = 2*u + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 16 - 1 - 35*w**3.\nAnswer: -35*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 + 46 - -63) + (15 - 112)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.4, -50 in descending order.\nAnswer: -0.4, -11, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/31)*j*j*j**(2\/9))\/((((j\/((j\/(j*j**(4\/9)))\/j*j))\/j)\/j)\/j*j)**(15\/8))**(-2\/145) assuming j is positive.\nAnswer: j**(-7141\/161820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16022245*-3.\nAnswer: 48066735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**3\/6 - 25*k**2\/2 + 9*k. Let s be v(-27). Put 5, 8, -1\/3, s in increasing order.\nAnswer: -1\/3, s, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1794\/37235 - -8\/677. What is the nearest to 84 in -0.4, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*a - 28. Let q(d) = -11*d**3 - 1. What is the remainder when q(-1) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -72. Suppose 4*c = 5*v + 4 + 7, -7 = -3*c + o*v. What is the remainder when 20 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3\/2 - 110*v**2.\nAnswer: -5*v**2*(v + 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.208 (c) 1\/9 (d) -9263 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 less than -388129.3?\nAnswer: -387118.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 29. Let l = u - -54. Which is the third biggest value? (a) -1\/2 (b) 0.02 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4827099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/60 + b**4\/4 - 369*b**2 + 2*b. Suppose 3*l + 3*p - 2*p = -15, 0 = -p + 3. What is h(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1401 + 26?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 137993.92 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 938*k + 75. Let w be n(-6). Let p = w + 11110. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 2. Let l be (-188)\/(-10) - 6\/(-30). Let z be b(l). Let q = -24 + z. Calculate the greatest common factor of 112 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 7*w = -36. Let v = 257 + -507. What is the tens digit of 3\/w + v\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/9 (b) 0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l**3 - 1 + 2*l**2)*(-220 + 629 - 223 - 210).\nAnswer: -48*l**3 - 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -288, 22, 1219 in ascending order.\nAnswer: -288, -4, 22, 1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -37, -121, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 66\/49, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -5, 3 in increasing order.\nAnswer: -5, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f - 225. Let x be p(18). Let t = x + 106. Solve 2*a - 1 = 4*r + t, 3*r + 6 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1.2\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(1\/32)\/o)*o*o*o*((o\/(o\/((o*o*o**27\/o*o*o*o)\/o)))\/o)\/o*o*(o**(5\/7))**(19\/5))**49 assuming o is positive.\nAnswer: o**(59087\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-204)\/(-32) - 9\/24. Suppose -2*m + l*m = -2*m. Solve m = -3*d + 3*y - 3, 10 + 1 = -5*d + 3*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 1 = -z, -4*z - 8*o - 4 = -5*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207141 and 414282?\nAnswer: 414282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 4, q: 2, i: 1, f: 6, s: 1}. Give prob of sequence fg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417719 is divided by 16024?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 1, -0.4, 4, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 9545, 4, 3, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 9*m. Let k be r(-9). Suppose k*g = 4*g. Solve -3*b + 10 + 2 = g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607397.8 millilitres to litres.\nAnswer: 607.3978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50899912607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 4, b: 9}. What is prob of sequence pb?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**3 - 3*r - 2. Let f(k) = -k**3 - k - 1 + 2*k**3 - 2*k**3. Let m(s) = 72*s - 2665. Let p be m(37). What is p*x(y) + 3*f(y)?\nAnswer: -8*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3 + 4 - 23*b + 2*b**2 + 16*b - b**2. What are the prime factors of z(11)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 16*m**2 - 228*m**2 - 7*m.\nAnswer: -244*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-15\/2)))*c**(3\/14))**(2\/17) assuming c is positive.\nAnswer: c**(122\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38471 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, i: 7, j: 1}. What is prob of sequence gii?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4125668 or -4125670?\nAnswer: -4125668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 8*g + 3. Let x be r(8). Let b(d) = d**3 - 3*d**2 + 4*d + 3. Let j be b(x). Let p = 25 - j. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*k - 2*g, k - 21 = 2*g + 3*g. Suppose 2*d - 8 = 0, -y = -d + 2*d - k. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*i - 80 = 79*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.21 to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = -5*j, 2*j - 1 = 4*g - 3. Let c be (-2 + j - -5) + 4. Find the third derivative of -49 - 15*f**6 + 49 + c*f**2 wrt f.\nAnswer: -1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39307 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grgr when four letters picked without replacement from trrgttggtrrtttrt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 435 - 246. Let r = 189.00208 - w. Round r to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/36750 + (-9468)\/(-1575).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*k - 704*k = 165440. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3da (base 15) to base 10\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/360 + s**4\/12 + 4*s**2. Let b(p) be the second derivative of m(p). Let w(k) = -2*k**2. Calculate w(b(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 11*u**2 - 123*u + 785. Give y(6).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.201*136\nAnswer: -163.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 28*l + 55 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9\/2)\/(4\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 3*f**3 + 12*f - 7\/2*f**2 - 1\/4*f**4 + 3. Is 35 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0313128 to four decimal places.\nAnswer: -0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79 and 188731.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d22d - 42c?\nAnswer: 3ce01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.133 - 0.033. Let b = 18.1 + -19. Let q = -1.2 - b. Put q, c, -8 in descending order.\nAnswer: c, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + c = -5671, -4*c + 5*c - 1 = 0. What are the prime factors of r?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**2*k**4 - 2*i**2*k**2 - i*k**4 - 2*i*k**2 - 6*k**4 + 130*k**2 wrt k?\nAnswer: 72*i**2*k - 24*i*k - 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**2*u**2 - 13*d**2*u - 12*d**2 + 3*d*u**2 + 2*d*u + 2*d + 1079 wrt d.\nAnswer: -14*u**2 - 26*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3554 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -539 + 519. Put -3, -4, k, 2 in decreasing order.\nAnswer: 2, -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 11. Let z be n(8). Suppose -z*s + s = 0. Suppose -3*r + r = -4. Solve s = -g - 3*c + r, c + 13 = 5*g - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1267014141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/21 (b) 0.2 (c) -11 (d) -1\/3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 875*u. Let z(t) = -1311*t. Let o(p) = 8*c(p) + 5*z(p). Let s(q) = 3*q**2. Calculate s(o(j)).\nAnswer: 594075*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10851.8206 - 10851. Round y to 2 decimal places.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 1462*i - 14523. Give o(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p - 13*p. Solve s - 5*s = p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/4 + (-1)\/4. Suppose 0 = c + 3 - l. What is the units digit of (-8)\/4 + 6 + c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -l - l - 412, 3*h - 4*l = 416. Let j = 163 + h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 + 373 - 181 = -40*l - 598 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1403 + 636 + 67*q**2 + 767.\nAnswer: 67*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3798 - 5039.7. Round q to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.05, 1, -0.15, -28, -9, 4, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 - -2) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*r*u**2 - 176692536*j*r*u - 3*j*r + 2*j + 2*r - 14572688 with respect to u.\nAnswer: 2*j*r*u - 176692536*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*l**3 - 455*l + 233*l + 222*l.\nAnswer: 455*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 - -2 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 + 3 + 6 - 5 + 6*j**2 - 4*j. Let z = 34 + -23. Let k(r) = -5*r**2 + 11*r - 11. Let u(d) = z*w(d) + 4*k(d). Let y(p) = -3*p. What is u(y(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76920715*t**2 - t - 27555292?\nAnswer: 153841430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.7587 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17148, 68902, 155264, 276234, 431812, 621998, 846792?\n\"Answer: 17304*c**2 - 158*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -12*d - 608. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.199619mm in kilometers?\nAnswer: 0.000007199619","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 63*m**2 + 977*m - 132. What is r(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**4\/13 - 122*q**3\/13 + 100*q**2\/13 + 2056*q\/13 + 2640\/13 = 0.\nAnswer: -2, 6, 55\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, 5, 0.5, -1 in increasing order.\nAnswer: -1, 0.5, 5, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 10*h - 561 + 579, 4*h - 11 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -51 and -51 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (19 - 4) - (-24 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (8\/20 - (-3212)\/20). Let i = a - 159. Solve i = h - 3*f + 11, 5*h + 5*f - 25 = -0*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3405482\/14 - (-30)\/105. Let v = w - 445249. What is v rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1900*b*f**2 + b*f*u**3 - 13*b*f*u**2 - 772*b*u**2 - 5*b - 759*f**2*u**3 + 2*f*u**2 wrt f?\nAnswer: -3800*b - 1518*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**3\/5 + 168*h**2\/5 - 2052*h\/5 = 0.\nAnswer: 0, 18, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-44))\/(6\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**2 + 9*a - 2. Calculate o(4).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 5. Let u be z(2). Let v = -0.27 - 211.73. Let a = -207 - v. What is the second biggest value in -4, -5, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29042 by 3.\nAnswer: 29042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11209177 and 15372?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.4, -42, -584499?\nAnswer: -584499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4406 is divided by 235.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1. Let f(h) = 12*h - 10. Determine -10*a(n) - f(n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**17\/s*s\/(s*s**(-16\/7)\/s) assuming s is positive.\nAnswer: s**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 84, -2\/13, -0.5 in ascending order.\nAnswer: -3, -0.5, -2\/13, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318100 by -5.\nAnswer: 63620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 3\/((-3)\/(-5)). Let a(j) = q*j + 1 - 2*j - 1. Is 4 a factor of a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*t**2 + 1414 - 1414)*(-2 - 3 + 3)*(1 - 1 + 3)*(3 + t - 3).\nAnswer: 366*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1920, 7692, 17310, 30774?\n\"Answer: 1923*c**2 + 3*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15544*u - 2144 = 16616*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-15 - 7)) + -3 - 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058215.356 rounded to the nearest 10?\nAnswer: 1058220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b - 14. Let d be s(-4). Solve d = 2*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26297, -26296, -26295, -26294?\nAnswer: -26293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81679 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223454.\nAnswer: 2, 3, 203909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -11 + (-2 - 1) - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.69436718 from 3.7.\nAnswer: 5.39436718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 72. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.98 + -0.02. Let l = -3.46 - -4.36. Sort w, l, -1 in increasing order.\nAnswer: w, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19*g**3 + g**2 + g. Let o(f) = -4 + 0*f + f + 12. Let q be o(-9). Determine x(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 - (-16 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 121?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62708, 62703, 62700, 62699, 62700, 62703?\n\"Answer: o**2 - 8*o + 62715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 566953 = -c, -149*y + 3*c = -146*y - 283494. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 1. Let l = 16\/27 - -3187\/135. Let s = l + -24. Which is the nearest to 1\/3? (a) 0.5 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3311 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-52))\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/9 - 4*g**3\/9 + 14*g**2\/9 + 16*g\/9 - 8\/3 = 0?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -2 - (3 + -3). Suppose -5*i + 85 = 2*c, -j*i - c - 2*c = -61. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k + 2*k + 9*k)*(0 - 1 - 1 + (-2 + 0 + 1)*(1 + 1 + 0) - 4 + 3 + 2)*(4 - k - 4)*(-22 + 11 + 13)*(-2*k + 0*k + 4*k).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 8*s - 1. Let r be c(8). Let k be r + 308\/12*3. Suppose f = 6*m - 4*m - 76, 2*m + 3*f - k = 0. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + -6.4. Let n = 14 + i. Let p = -78 + 76. Is p != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01093613 to 5 dps.\nAnswer: 0.01094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) + 3)**2 - (-2 + sqrt(13) + -2 + sqrt(13)))*5 + ((sqrt(91)*3 - sqrt(91))*6)\/((4*sqrt(77) + sqrt(77))\/sqrt(11)).\nAnswer: -338*sqrt(13)\/5 - 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0149 * -0.51\nAnswer: 0.007599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-30))**(6\/5)\/((r*r**(-8\/9))\/r)**(-1))**(-34) assuming r is positive.\nAnswer: r**(11288\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -724\/23 or -2.48?\nAnswer: -2.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 154887 <= 154888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2871534, 11486131, 25843792, 45944517, 71788306, 103375159?\nAnswer: 140705076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -5.1\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 - 2\/((-24)\/204) and 914.\nAnswer: 9140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*(174\/464)\/(3\/4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -21. Which is the third smallest value? (a) x (b) -13 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 w when four letters picked without replacement from {w: 3, n: 17}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2609266 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 - 2*u**4 + 3 - 1 + (0*u**2 - 4*u**2 + 5*u**2)*(-1337*u**2 + 6546*u**2 + 994*u**2) to the form b*u + g + l*u**2 + n*u**3 + v*u**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/45*(-27)\/(-12))\/(2\/12). Let h = 2 - 1. Calculate the common denominator of (7\/(-20))\/(h\/x) and -93\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -7*f**4\/12 - f**3\/3 - f**2\/2 + f. Let k = -7 + 1. Let n = k + 5. Calculate x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 15. Let s = y + -10. Let v = s + -3. Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.053 + -4.053. Let p = n + 4.042. Let w = -0.242 + p. Which is the biggest value? (a) 2 (b) -5\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2365 + 3948. What is the tens digit of (-2)\/17 + 2 + z\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 - 132*w - 60. Calculate s(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10342 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + k**5 + 2*k**3 - 3*k - 2*k**5 + 3*k + (-k**4 - 4*k**3 + 4*k**3)*(-4*k + k + k) + 80*k**5 - 6*k**5 + 56*k**5.\nAnswer: 131*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0302141151 and 0.2.\nAnswer: 0.2302141151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 11*p. Let q(j) = 258*j. Give a(q(n)).\nAnswer: 133128*n**2 - 2838*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 553 = -173. Suppose 70*m - d*m = 224. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.247732 - 0.2896. Let n = a + 0.042. Round n to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggguncgr. Give prob of picking 2 n and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 12, -w + 0*w - 3 = -2*c. Let t = -4.3 - -10.2. Let v = -6 + t. Is c bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 + 2?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3 + 6864*l**2 - 608436*l - 8291376 = 0.\nAnswer: -12, 102, 6774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m + 95. Let i be l(13). List the prime factors of 1474524\/1258 + i\/(-34).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 148*l**2 - 293*l**2 + 2*l**3 - 11*l**4 - l**3 + 145*l**2 - l in the form q + z*l**3 + d*l + p*l**2 + m*l**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 2, u: 1, s: 2, o: 1, w: 3}. Give prob of picking 1 s, 1 o, and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + u**2 + (2 - 2*u - 2)*(2*u - u + 0*u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 206\/3*k + 2\/3*k**3 - 50 - 58\/3*k**2 = 0.\nAnswer: 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941 is divided by 65.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116\/6 + 2 - (-18)\/27 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r)\/r*r*r**(3\/4) assuming r is positive.\nAnswer: r**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*x + 61, -2*x + 2*s = 5*s - 28. Calculate the remainder when 28 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956139 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*517.6\nAnswer: -20.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16182618349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 7. Let p be t(10). Let b(q) = 2*q - 1. Let a be b(p). Solve 2*k = 5*n + 9, -4*k = -a*n - 2 - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lwwwwllflflfllwl?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 14\/13, -2\/5, -2, 5.\nAnswer: -2, -2\/5, 0.3, 14\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2963 + 2963 - 14*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -35, -2, -4 in descending order.\nAnswer: 4, -1, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {x: 1, g: 7, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.07 (b) 2\/55 (c) -1 (d) 0.5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k + 5*w + 780, -5*k - 2*w + 942 = 0. Suppose 30*r = 35*r - k. Suppose 41*b - r*b - 144 = 0. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-56))\/((32200\/98)\/(-46))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419335334 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) -1\/3 (c) 3 (d) 0.41664 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18582 and 60762?\nAnswer: 9904206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((11 - 3) + -6 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 9*z**2 + 2*z - 16. Let b be r(9). Suppose i - 3*t = -i - 500, 0 = -2*i - b*t - 510. Let w = i + 464. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 984\/(-160) + 2\/5\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayooyyyyyyopaa. What is prob of picking 2 a, 1 o, and 1 p?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/j)\/(j**(1\/10)*j)*(j*j**(6\/11))\/(j**(4\/5)*j) assuming j is positive.\nAnswer: j**(-463\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96663768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -237, -487, -839, -1293, -1849?\nAnswer: -2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + q + 13 = -6, 4*w - 40 = 5*q. Let u(v) = 7*v**3 + 5*v**2 - 5*v - 4. Let k(d) = d**3 + d**2 - d - 1. Calculate w*k(z) - u(z).\nAnswer: -2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + 3*m + 0*m)*(-9 + 9 - 3*m)*(0 - 1 + 3) as k*m + j*m**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76375 = -2*w + 2*k - 2145, 0 = 2*w - 4*k - 74226. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*c + 24, -16 + 8 = -3*h - 2*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/15 - 5*c**3\/6 + 3*c**2 + 2*c. Let i(m) be the first derivative of k(m). Differentiate i(f) with respect to f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-4) + (-81)\/(-9) + -6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*j - 3*j - 62 - 34 - 54 + 150.\nAnswer: -121*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2*6\/16))\/(2100\/26775).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 13*s + 5 = 0, -3*f + 3*s + 33 = 0. Calculate the smallest common multiple of 40 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 5, 3 in ascending order.\nAnswer: -5, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 249\/26 + 86\/65. Calculate the common denominator of n and 182\/20 - (-12 - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 48394 and 48104 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 37360.\nAnswer: 410960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 46 = -4*d. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -19*p + 99. Let h(a) = 124*a - 644. Let s(q) = 5*h(q) + 32*r(q). Let f be s(3). Is f at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1343 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s = -3 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4)*q**(-6)*(q*q**(2\/7))\/(q*q**(-2\/13)))**31 assuming q is positive.\nAnswer: q**(-1581\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27019247 from 0.82.\nAnswer: -27019246.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:14 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4\/5 + 152*z**3 + 1444*z**2\/5 - 11424*z\/5 - 27072\/5 = 0. What is z?\nAnswer: -188, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -11920.4\nAnswer: 476.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37315544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6787402.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 8*a. Suppose 3*n - n = 4*q + 2, -4*q + 4*n - 4 = a. Suppose -36 = -4*s - q. Calculate the remainder when 14 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46283683\/12 - -3861652. Let q = 9339\/2 - h. Calculate the common denominator of q and 7\/186.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -28. Let r = -22.1 - q. Suppose -f = -2*d, -2*d = -4 + 2. Which is the second smallest value? (a) f (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d**3*s**2 + 1272*d**2 + d + 2050*s**2 wrt d?\nAnswer: 60*d*s**2 + 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -a + 11, 7*a = -5*n + 4*a + 21. Suppose 2*h + 127 = n*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -966 - -1445. Let n = 225 - j. Let k = -252.41 - n. What is k rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 6) in base 3?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and 8527 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a + 15. Suppose a*p - 7 + 1 = 0. Suppose -p*v = 3*v - 275. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10061 and -3092 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -2. Let c = 1 + 7. What is the smallest common multiple of b and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + d = 5, i + 0*i = 4*d - 20. Suppose i = -w + 2*b - 66, -4*w - 165 - 87 = -4*b. List the prime factors of ((-4)\/6)\/(8\/w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 235446106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*n**2 - 32\/5*n - 132\/5.\nAnswer: 4*(n - 11)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 10*v + 9. Let k be n(11). Suppose -3*h + 7*h + k = 0, h = -m + 125. Calculate the greatest common factor of 26 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75239436 divided by 4.\nAnswer: 18809859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 10)\/(1*-2). Let c = -1 - t. What is the least common multiple of c and (24\/(-9))\/(6\/(-9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**3 + 8*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.2 - -1. Let k = f + 9. Which is the closest to 0? (a) 2\/9 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567 is divided by 582?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13871 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (1 + 0) - -6828029. Let w(k) = -18648*k**3 + 3*k**2 + 8*k. Let c be w(-6). Let f = v - c. What is f rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxh when three letters picked without replacement from xhxbhhxxxxxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:50 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 + -197. Suppose -2*l = -w*l - 10. Which is the closest to 0.4? (a) l (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(4000) + 3*sqrt(4000)*1))\/(((sqrt(24) - sqrt(24)*-1) + sqrt(24))\/sqrt(3) + (sqrt(40)*-1)\/sqrt(5)).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22\/11*(-3 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 111\/4*m**2 + 27 + 219\/4*m = 0?\nAnswer: -1, -36\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(2 - (-74)\/(-38)). Let u = 1.6 - 2.5. Let r = 0.1 - u. Sort r, v, 0.5.\nAnswer: v, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 154 + 0*t**2 - 8*t + 161 - 4*t**2. Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 8*a**3 + 6 + (3*a - 7*a + 3*a)*(-a**2 - 1 + 1) as o*a + v + i*a**3 + y*a**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 37*v - 161. Let w be r(41). Suppose -5*g + f - 6 = 0, 0 = -0*g - g + w*f - 4. Are g and 102 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2412 and 119\/3300.\nAnswer: 663300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y + 48*y - 8 = 0. Factor -y*d**4 - 48\/7*d**2 - 6\/7*d**5 - 22\/7*d - 52\/7*d**3 - 4\/7.\nAnswer: -2*(d + 1)**4*(3*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 4. Let s be r(9). Let m = 31 - s. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 86 = 5*p - 5*w, 3*w - 58 = -5*p. Suppose 0 = 2*l + 2*a - 22, 3*a + 13 + 38 = 3*l. Calculate the greatest common divisor of l and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 11*l + 5*l. Let k(v) = -7*v. Let h(b) = 11*j(b) - 6*k(b). Let c(o) = 2 + 102745*o - 102743*o - 2. What is c(h(s))?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864*i + 59351 = -91104 - 19753. What is the remainder when i is divided by ((-50)\/4)\/((-2)\/4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242306 (base 8) to base 9\nAnswer: 136040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**3 + 439*s**2 + 4152*s + 546. Determine x(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*k - 72 = 0, 4*o - 60 = 5*k - 3*k. Suppose -1316 = -o*u + 892. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/30708769?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*w + 19405 = 2765. Calculate the remainder when 1016 is divided by w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -r. Let w = r + -3. Let x = w - 2. Solve x*l = 10 - 4, -5*l + 15 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p - 3*p - 2*p)*(-p - p + 3*p + (-2 + 0 + 0)*(-2*p + 0*p + p)) - 5*p**2 - 3*p**2 + 3*p**2)*(0*p**2 + 2*p**2 + 0*p**2).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 139855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/17))*f*f\/(f**(-1\/3)*f))\/(((f**(3\/5)*f)\/f)\/f**(2\/15)) assuming f is positive.\nAnswer: f**(251\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3745*(-240)\/600)\/(-14).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 9*d + 9. What is the remainder when x(-6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - w = 18, 2*c - 12 = c + 5*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 19212844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 - t**2 + 27*t - 25. Give i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -526 + 271 + 2340*m + 255. Let g(f) = -f. Calculate a(g(u)).\nAnswer: -2340*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-184)\/69*(-12)\/64. Let l = 3 - 7. Put -3, w, l in descending order.\nAnswer: w, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 11. Let q be (-90)\/216*-12 + (-80)\/2. Calculate the remainder when (-42)\/q*(17 + -7) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258615904.\nAnswer: 2, 8081747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 3*c - 73, 5*w = -3*c + 113. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11120.000001823 + -11120. Round r to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*q = -741 - 2262 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -862, -1693?\n\"Answer: -831*g + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7673 is divided by 231?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -34.2. Let c = b - 3.2. Put -7, 4, c in ascending order.\nAnswer: -7, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 2*x - 236 - 139 + 445 = 0, 0 = 2*v + x + 15 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*p + 762, -p = 2*s + s - 762. List the prime factors of s.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4298844 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -16.3. Let x = y - 1.8. What is the second smallest value in 2\/7, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*c + 502 = 518, -4*c - 22 = q - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/650 and -3\/146978.\nAnswer: 3674450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 2. List the prime factors of l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neyn when four letters picked without replacement from neynnedeeeyuune.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 38*y + 717. Calculate s(-17).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + 4.91. Let i = -1 - -7. Let d be (2\/(-2))\/(3\/i). What is the second smallest value in -3\/5, d, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10 + 242\/110.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21100 + 221123212?\nAnswer: 221210312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 457, 1309, 2973, 5719, 9817, 15537, 23149?\nAnswer: 32923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 57 = 5*y, -3*z + 2*y - 32 = 26. Let t be ((10 - -6) + -6)*z. What is t rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i**2 - 51*i - 52. Let r(k) = 3*k**2 + 13*k + 13. Let s = -13 + 4. Let z(o) = s*r(o) - 2*q(o). What is the remainder when z(-13) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 14. Let l be n - (-4)\/8*14. Let s(b) = -b**2 + 5*b - 2. Let z be s(l). Solve t + z*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200*s**4 - 2*s**3 - 13*s**2 + 7?\nAnswer: -4800*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 6:23 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2 + 3 + (sqrt(425) - (sqrt(425) - (sqrt(425) + 2*sqrt(425) + -2)**2)))*1.\nAnswer: -70*sqrt(17) + 3832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(0 - 1\/(-22)). Let o = -24.9 + 25. Sort g, o, 5 in ascending order.\nAnswer: g, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0 (c) 0.363 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313373, 312056, 309869, 306818, 302909, 298148?\nAnswer: 292541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(-5 + 2*sqrt(1008)))**2 + 4.\nAnswer: -97364 + 5760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80638 is divided by 478?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 43222065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, -2\/25 in decreasing order.\nAnswer: 3, -2\/25, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*k - 3, 2*k + 0 = x - 18. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108959594537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 13*q**2 + 21*q + 59. Calculate k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -26, -3, 1174 in descending order.\nAnswer: 1174, 0, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-117)\/26*(-2)\/3. Let m be ((-196)\/(-3))\/(-2)*-3. Suppose -x - m = -w, 68 = w - t*x + 8*x. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x + 1. Let z be t(-1). Let f = z + 23. Let m(v) = 166*v - 1157. Let i be m(7). Solve -5*a - 8 = b, -b - 3*a - f = -i*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856794*n**2 - 950570*n**2 - 401314*n**2 - 871030*n**2.\nAnswer: -3079708*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 564296257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -486, -486, -498, -528, -582?\n\"Answer: -d**3 + 7*d - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - t + 2 = 0, 7*i - 4*i + 4*t = 6. Find m, given that -i + 0*m**2 - m + 0*m + m**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 12*c - m = -114, -4*m = 2*c - 114. Calculate the remainder when c is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 19 = -25. Let b(m) = 33*m**3 + 5. Let i(g) = 64*g**3 + 9. Let h(n) = z*b(n) - 6*i(n). Determine h(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11407 = 6*m + 529. What is the greatest common factor of 784 and m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4*r - 4)*(4 - 4 + 2)*(4*r + 0 + 0).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.48959755 to 3 decimal places.\nAnswer: -116.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115681 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2134\/(-679))\/(-8*(-18)\/(-4032)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11 - 7*s**3 + 0*s**3 + 6*s**3 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c056c (base 13) in base 4?\nAnswer: 10021030231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143 + 137 + 1 + -2 + 13 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001696982 to 6 decimal places.\nAnswer: 0.001697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2975736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -22*h + 154. Suppose -h*m + 4619 + 1045 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8160787?\nAnswer: 2293, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 2*w**2 + 8*w - 14. What is q(5)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128562599 to the nearest integer?\nAnswer: 11339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*3\/9*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.223144 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (1 - -4*4). Suppose -21 - y = -3*x. Suppose -15*b + 186 = -x*b. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:55 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381*i + 1482 = -1438*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62580 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2760 - -2763. Let t be (-6)\/(4\/8 + 1). Sort -6, 0, q, t.\nAnswer: -6, t, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - t**2 + t**2)*(7*t - 7*t + 17*t).\nAnswer: 17*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 350*x**2 - 92*x**2 - 94*x**2 - 78*x**2 - 70*x**2.\nAnswer: x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 359204, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120651669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - 2*l + 1. Suppose -2 + 18 = 4*h. Suppose -8*y = -h*y - 20. Suppose 4*n + x - 1 - y = 0, -3*n - 3 = -3*x. Calculate b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = 6. Let i be 2\/6 - 16\/b. Determine m so that 0*m + 1\/3*m**i + 0 + 1\/3*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.088 + 0.0879688. Round u to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*n - 24 = 0, 2*n = -0*n - 8. Let s(i) = 7*i**2 + 1. Calculate the lowest common multiple of s(-1) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/63 - 483\/(-931)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 5*t**2 - t - 2. Let p = -58 + 70. Suppose p + 38 = -10*g. Determine a(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/180 + 86\/18. Suppose 9*r - 1 = -d + 4*r, -i*r - 11 = 4*d. Suppose k = 4*k - 2*x - 25, 2*k + 5*x + 15 = 0. What is the closest to 2\/5 in d, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4\/3 - 49*j**3\/3 + 52*j**2\/3 + 100*j\/3 = 0.\nAnswer: -50, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5902 and 6583.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177458\/1725 bigger than 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let y(m) be the first derivative of 7*m**4\/4 + 7. Let w(t) = -4*p(t) + y(t). What is the second derivative of w(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008362 rounded to four dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*p = 277 - 1538 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.706 and 55845.\nAnswer: 151116.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**5\/5 + 15*s**2\/2 + 67. Find the second derivative of o(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24106 - 12893. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -245, -369, -493?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/451*(-4)\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -135910.8.\nAnswer: 14950.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/8304107 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.322478 kilograms?\nAnswer: 4322478000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1171380253 + 4?\nAnswer: -1171380248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and -35\/83841.\nAnswer: 335364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 622105 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/5566*132 + 72\/187.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*t - 27 + 1, -t = -4*d. Is ((-12)\/t)\/((-3)\/(-224)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8496.37m in micrometers?\nAnswer: 8496370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/120 - 7*h**4\/48 + 35*h**2 - 2. Suppose d(q) = 0. What is q?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 17. Let p be l(5). Suppose -3*m + d = m - 61, -p*m - 4*d = -41. Suppose 13*r + m = 18*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 + 2*g + 110*g**2 - 21*g**2 - 2*g + 115*g**2.\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 357, 536?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 291826694 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 9 = i - a, -23*i + 76 - 148 = -3*a - 73 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -190.2 + 33877.\nAnswer: 33686.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3*5\/(-15))\/((-25)\/235))\/(296\/(-1480))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 192 + (-92 - 21) + -84\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 32*v - 61. Calculate a(-22).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 4:06 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 572, 577, 584, 593?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-293 - -329) + 909*(-2)\/42.\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 11991830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f + 16. Let i(h) = 31*h**3 + 13*h**2 - 54*h + 27. Let g(s) = -10*s**3 - 4*s**2 + 17*s - 9. Let b(o) = -19*g(o) - 6*i(o). Is 20 a factor of b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k = 10. Let m(v) = -3*v**k + v - 4*v + v + v. Give m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x - 37*x - 13*x)*(-3*x**4 + 2*x**4 - 4*x**4).\nAnswer: 195*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:00 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2238 + 4.7762. Let s = -35 + 17. Let z = 6 + s. Which is the biggest value? (a) h (b) z (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123507910 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632 is divided by 370?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (77\/154)\/((-124)\/398) + 3. Are 1 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -726 at most as big as -727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, 0.3, 10, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137839 or -137840?\nAnswer: -137840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 391047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 148439 (base 11) in base 5?\nAnswer: 24341124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49844*n**3 - 16165*n**3 - 15763*n**3 - 16756*n**3.\nAnswer: 1160*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*j + 39, -x + 1 + 2 = 0. Let m be 4\/1 - (j + -7). Let c be (-874)\/104 - m\/(-169). Are -7 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45283.00046342 + 45283. What is t rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*q = 5, -12*i = -9*i - q - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 744759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 665395 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 116 in descending order.\nAnswer: 116, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 6, 1, -953.5, -5 in decreasing order.\nAnswer: 6, 5, 3, 1, -5, -953.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 155364 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let n(c) = -13980*c + 758. What is n(h(d))?\nAnswer: -13980*d + 758","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -237845.6992 and 1.\nAnswer: -237844.6992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 57*o**3 + 5*o**2 - o + 1. Let v be h(2). Suppose -3*m + v = 4*y, 1 = -2*m + 3. Calculate the remainder when y is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 3, 0.07 in decreasing order.\nAnswer: 3, 0.07, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:40 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:39 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 655911938 and 596283580.\nAnswer: 6559119380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-10 - (-7 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*a = 45, 3*a - 39 = 94*d - 91*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/15*(-50)\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152492*d - 48*d**2 + 36*d**2 - 152497*d.\nAnswer: -12*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 51 = -2*l, 2*s - l = 97. Let i = 6 + -4. Calculate the remainder when s is divided by 33\/i + (-3)\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:00 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4546?\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 + 8. Let v = 128.5 + w. Let y = -8.500007 + v. Round y to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4 + s + 16. Let n(i) = -i + 6. Let h(l) = -2*l + 11. Let w(b) = 6*h(b) - 11*n(b). What is c(w(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 623 + -339. Calculate the remainder when c is divided by 89.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 4769806 = 1197344. What is c rounded to the nearest 1000?\nAnswer: -284000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 12) in base 11?\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4995 and 151\/918.\nAnswer: 169830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5808 and 2046836?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10805 + -10844.152. Let l = j + 39. Let q = l + 0.1520182. What is q rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 446 - 710. Let w be 2\/(-6) - (-6359)\/f. Let z = w + 358\/11. Find the common denominator of z and -97\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 2, e: 1, o: 6}. What is prob of sequence qq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2660*s - 11786. Give i(-5).\nAnswer: 1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 929113 to the power of 1\/2, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (90\/12)\/(-1)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-2)\/12). Suppose -5*p + g = -11, 3*g = -4*p + 2*g + 7. What is the first derivative of 3*a**3 - 1 - 2 + v - p wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1868891\/91 - 20537. Let a = -6451\/728 - m. Find the common denominator of a and 534\/10*2\/24.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 7. What is o(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -314*k**3 + 36*k**2 + 9*k - 213. Let t(u) = 157*u**3 - 16*u**2 - 4*u + 107. Let i(a) = 4*f(a) + 9*t(a). Find the first derivative of i(y) wrt y.\nAnswer: 471*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2245*a*p**3 + 14*a*p**2 + a*p + 2*a + p**2 - 2*p - 6 wrt p.\nAnswer: 13470*a*p + 28*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 22 = -5*g - 7, 5*v = -2*g - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, o: 14}. What is prob of sequence jo?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppzpppzp. What is prob of sequence pz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 - 7*c - 15. Let v(a) = -3*a**2 - 132*a + 140. Let q be v(-45). Give j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnfzcxcj. Give prob of picking 1 n and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449699.7nm to millimeters.\nAnswer: 0.4496997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54050 + -11*(1 - (-7 + 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -372 + 374. What is the closest to -2 in -1\/6, x, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/157339 and 4\/5985?\nAnswer: 7080255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 428817190938084 from 0.4.\nAnswer: -428817190938083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 3. Let c(w) = 5*w + 7. Let m(z) = 7*a(z) - 3*c(z). Let k(i) = -i - 2. Let b be k(2). Let t be (b\/6)\/((-1)\/(-6)). Determine m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 at most 798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1911 = -10258*f + 10349*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1339 or 1166?\nAnswer: 1339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 9648*u**3 - 8726616*u**2 - 3508099632*u - 528846019524.\nAnswer: -4*(u + 603)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/(-26)*8\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 18. Let o(x) = 11 + 6*x**2 - x**3 + 8*x + 7 - 17. Is o(y) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 6*q - 2518. Suppose -2*d + q = -707. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -0.4. Let l = 3596 + -3595.9. Which is the biggest value? (a) o (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -711, -1089, -1501, -1959, -2475?\nAnswer: -3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 807569 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, -25.1, 100, 5, 8 in ascending order.\nAnswer: -25.1, -0.5, -0.1, 5, 8, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/703 or 9?\nAnswer: -1\/703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from rquxnrruuxurqr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-294)\/(-196)*32\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42556 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 2*o + 3*o)*(65*o - 2307 - 62*o + 637 - 649).\nAnswer: -9*o**2 + 6957*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.042, 9.\nAnswer: 0.042, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -263?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -780 divided by 130\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 987 and 123235.\nAnswer: 17376135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*-6*2\/1. Let d be 17\/5 - 4\/10. Solve -b*l = d + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/7 + 2598*x\/7 - 2601\/7 = 0.\nAnswer: -867, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-8))\/((-3)\/(-24)). Let h = 26 + 25. Let g = h - 32. Is n bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 3*d**4 + 3*d**4 + d**3 + (-3*d + 3*d + 2*d**2)*(-5*d**2 + 25 - 25).\nAnswer: -8*d**4 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 5:37 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1695 and 33\/265.\nAnswer: 89835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207323 (base 11) to base 14.\nAnswer: 88cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31\/5, -0.5, 4, -316?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mflfoflmmffhmll. What is prob of sequence olh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 3 + 2*s**2 + 3*s - s**2. Suppose 0 = 51*d + 90*d + 45*d - 558. What is o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -13. Suppose q + 6 = k - 0*k, -h = k + 5*q. Factor -3\/4*a - 1\/4*a**k + 1\/4 + 3\/4*a**2.\nAnswer: -(a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - ((-948)\/156 - 0). Let v be -23*(1 - (-114)\/(-117)). Let m = r - v. Which is the nearest to m? (a) 2 (b) -12 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70519 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 484, 486, 478, 454, 408?\n\"Answer: -l**3 + l**2 + 6*l + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x**2 - 59*x + 6. Let l(z) = -17*z**2 - 120*z + 13. What is -6*l(t) + 13*r(t)?\nAnswer: -2*t**2 - 47*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -35.11 times 48\nAnswer: -1685.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2590 and 3220.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 equal to 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y - 19. Let g(k) = -k**3 - 4*k**2 - 5*k + 9. Let f be g(-5). Suppose f = -7*w + 3. What are the prime factors of l(w)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 4*y + 14*y + 34*y - 6*y.\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3031 + 3059. Put 1\/4, z, -2, 6 in decreasing order.\nAnswer: z, 6, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - -51?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j**2 + 8*j**2 - 237 + 16*j**2 + 12*j**2 + 91.\nAnswer: j**2 - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 635700004 = -8*q + 2*q, 0 = q + 4*m + 105950004. What is q rounded to the nearest one million?\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/350108 and 137\/1527744.\nAnswer: 16805184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 2)*2\/3. Let k(h) = -2. Let o(c) = c + 3 + 0*c + c. Calculate z*k(f) - 2*o(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -7*y**6\/120 + y**5\/12 + y**3\/3 - 157*y**2. Let i(o) = 22*o**3 - 16*o**2 - 6. Calculate 5*i(q) + 16*l(q).\nAnswer: -2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -10. What is the remainder when (-1)\/((-3)\/(78 - q)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57989164 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1173750 + -201883419\/172. Let z = 5\/86 + g. What is the common denominator of z and 322\/24 - (-1)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 4, -4 in increasing order.\nAnswer: -13, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9976498 days?\nAnswer: 86196.94272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-927)\/7107)\/((-2)\/46)*14\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101\/5 or -1?\nAnswer: 101\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1243\/6 + 623\/3. Let t(q) = q - 2. Let h be t(2). Sort 1\/12, -5, r, h.\nAnswer: -5, h, 1\/12, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:15 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 677507, 1353882, 2030257, 2706632, 3383007, 4059382?\nAnswer: 4735757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11600 and 3176776.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in 1, -6, -2\/15, -0.5, 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -95.830876?\nAnswer: 96.830876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 56 = -4*s. Let l be ((-18)\/8)\/((-21)\/s). Solve 19 = 2*o - 5*v, 0*o - l*o = -5*v - 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times -3?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 4*f + 44 = 0, 5*p + 7*f - 6*f + 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f + 1)*(0*f**3 - 5*f**3 + 3*f**3) + 2*f**4 + f**3 - f**3 - 2*f**4 + 0*f**4 + 0*f**4.\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 - 3954 = -12*u. Suppose -u = -2*j + 3515. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 - -228. Let t be ((-5)\/15*0*r)\/(-1). Let k = 3 - -28. Solve -4*a - 3*n + k = t, a + 3*a - 36 = -4*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/4)\/b)**(4\/11))**(2\/5) assuming b is positive.\nAnswer: b**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146115 and 1530.\nAnswer: 292230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucq. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*l = -10, -5*y = 2*l - 13 - 12. Which is the closest to 0.1? (a) 0.03 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26538082357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(27) - sqrt(3) - sqrt(3)) - sqrt(3) - sqrt(48)*5)**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 5*r - 1. Let i be g(4). Let j = i - -28. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 0*o**2 + 6 + 0*o**2 + 4*o**2 + 3*o + o**3. What is the smallest common multiple of c(-4) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35\/42)\/(180\/(-24) - -7). Which is the second biggest value? (a) 7 (b) 18 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 19*o - 22*o**3 - 19*o - o**2.\nAnswer: -22*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s - 3*s - 2*s)*(1 - 2*s - 1) - 2*s + 2*s - s**2)*(-65*s**2 + 81*s**2 + 473*s**2).\nAnswer: 1467*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 - -0.28. Let t = u + 2.89. Suppose -q - 2*q = -o - 17, 4*o = -8. Which is the third smallest value? (a) q (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 194?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**7\/168 - 47*m**6\/144 - 5*m**5\/4 + 9*m**4\/8 - 45*m**2. Let t(x) be the second derivative of l(x). Factor t(d).\nAnswer: -5*(d + 15)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 5*u**2 + u + 6. Let q(r) = -r**2 - 5*r + 1. Let k be q(-6). Let v be o(k). Let s be ((-2)\/4)\/(v\/(-144)). Round s to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 36. Let v be s(-41). Suppose -h + v*b = -153, -7*h + 11*h + 2*b - 612 = 0. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y**2. Suppose 0 = -i - i + 2. Let n be 0\/(i\/1) + -1. Is z(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 1:43 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c = -30*c + 444. Let l be 43 + 1 - (2 + -1). Suppose -l = -c*a - 13. Is a less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - 4*n**4 + 0*n**4)*(3 + 2 - 4) + (20*n**2 - 49*n + 49*n)*(n**2 - 3*n**2 + 3*n**2).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352 (base 6) to base 3.\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -3*u + 14*u. Factor u*i - i**2 + 0 - 1\/2*i**3 + 1\/2*i**4.\nAnswer: i**2*(i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 17*o**2 - 21*o - 35. Give b(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let j be (-1)\/u*3261\/(-9). Let h = j - -182. Which is the nearest to -1? (a) 5 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 9*u + 24. Suppose -5*p = u*p. Put p, 2, 3, 6 in descending order.\nAnswer: 6, 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 2, -4041, -0.4, 1\/2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138.913 + 139. Let d = p + 117.913. Let u = -117.929 + d. What is u rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-25))\/(1\/15). Let x be z*(-3)\/6 + 7. Solve 2 = 3*c - x*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*v + 61, 3*y + 6*v - v = 183. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-8)\/6 - (-78)\/18. Let r be 410\/14 - u - (-4)\/(-14). What is the highest common factor of r and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 142?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Suppose 3*d**2 + 180 + 60*d + 7*d**2 - f*d**2 = 0. What is d?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2016, 18, 1, -0.078, -2\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/(-85)*(-6 + 1). Suppose 0 = w*b + m - 6, -3*b + 4*m + 24 = b. Is 7 a factor of (b - 3) + (-13)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -25*g**2 + 128*g. Let z(j) = -25*j**2 + 128*j. Let p(a) = 4*b(a) - 3*z(a). What is the second derivative of p(u) wrt u?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((4 + -2)\/2)\/(2\/14). Suppose u + 17 = 8*d. Find the second derivative of 5 - 5 + 31*w**d - 56*w**3 + 10*w wrt w.\nAnswer: -150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7871239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 10, z: 4}. Give prob of picking 1 h and 2 j.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 14\/(-7)) + 5. Let j be 3\/(-9) - 2\/(-6). Let b be 6\/(-2 - -5) - j. Let v(h) = 4*h + 2. Let l(z) = -3*z - 2. Give b*v(i) + t*l(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1626 = n, -4*i - 2*n = -6*i + 1626. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15681998 < -15682012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Suppose -24 - 16 = -g*k. Let n(l) = -l**2 + 10*l + 7. Calculate the remainder when 43 is divided by n(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4\/3 - 5036*g**3\/3 - 20276*g**2 - 228580*g\/3 - 254200\/3 = 0.\nAnswer: -5, -2, 1271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1123 - -14623\/13. Let p = t - 57\/52. Solve 3\/4*b**3 + 3\/4*b**2 - 3\/4*b - p*b**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16348\/(-427) - -14 - -32?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n. Let l(w) = -3*w**3 + 6*w**2 + 8*w. Determine -l(u) + 6*t(u).\nAnswer: 3*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15277*b**2*k**2*m + 2*b**2*k*m - b*k**3 - 16704*k*m wrt k.\nAnswer: 30554*b**2*m - 6*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -6491\nAnswer: 19473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -2*x**2 + x - 5. Is 6 a factor of i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*i**2 - 11 + 10 + 51*i**2 to the form s + v*i**2 + l*i and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -0.014415?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -90*f - 328. Let d be s(-4). Let x(v) = v**2 + 2*v - 11. Let z be x(-8). Suppose -2*g + 25 + z = 0. Which is greater: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edehhhhhhdhhee. Give prob of sequence de.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 49, 148, 337, 646?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/3)*a)**(-6\/25))**(-2\/59)\/(a**2\/(a\/a**2)*a**(-1\/4)\/(a\/a**4*a)) assuming a is positive.\nAnswer: a**(-27849\/5900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.145 - 0.245. What is the fourth smallest value in 4, f, 2\/309, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6*v + 1238 = 1379, -2*x + 31 = v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*6\/(-90))\/(4\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -36.25. Let i = 0.45 + j. Let y = -67\/6 - -23\/2. What is the biggest value in -5, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.1, 4\/7, -5, 1759?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -577, -554, -531, -508, -485?\n\"Answer: 23*u - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -18*h. Let c(i) be the first derivative of -i**5\/60 + 3*i**3 + 7. Let n(m) be the third derivative of c(m). What is j(n(z))?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*z - 105692, 0*z - n - 140916 = -4*z. Suppose 4*i - 4*p = z, 4*i - 23920 = 2*p + 11316. Is ((-2)\/6)\/((-11)\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - 0*m. Solve m = 6*t - 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7794.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237773 is divided by 76171?\nAnswer: 9260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 13 + 9)*(3*j - 3*j - j) + (3 - 1 + 0)*(-j + j - j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*3*5)\/(sqrt(500)*-5))**2.\nAnswer: 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1860 and 27900?\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15))\/((-30)\/9)*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 39*u**2 + 37*u + 115. Let l be o(40). Is l + (14 + -6 - -538) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*v - 16, 19685*c = 19683*c + 2*v + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95263, 190874, 286485?\nAnswer: 382096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 2*j**4 + 3*j**4 + (3 - 3 - j**4)*(1 - 4 + 0) + j**4 - j**4 - j**4 + 2*j**3.\nAnswer: 5*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2\/15, -2\/31, -2\/7 in descending order.\nAnswer: 6, -2\/31, -2\/15, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550577 <= 2550595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6233463*30.\nAnswer: -187003890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/291369 and 85\/4168818.\nAnswer: 54194634","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 535 = 3*l - 575, -l + 354 = 3*f. Is 67 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**5 + 4*t**5 - t**5)*((-2 + 4 + 0)*(-8 + 6 + 31) - 3 - 2 + 4).\nAnswer: -114*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125798*f + 241996*f + 241242*f.\nAnswer: 609036*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -f, -4*f + 2*y = -0*f - 48. What is the remainder when 20 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 450 + 210. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*v - 1000*v - 222*v - 330*v in the form a + y*v and give y.\nAnswer: -1795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:23 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3269\nAnswer: 2\/3269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1655 - -2329. Let a be (5 - 4) + (-672)\/t. Let i = a - 1355\/2359. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1849 - 1848.999999274. What is h rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9061 and 239768.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 0 - (0 - 1). Let i(y) = y**3 + 3*y**2 - 2*y + 2. What is i(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/32)\/((-55)\/30)*4. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*b**3\/2 - 909*b**2\/2 + 624*b - 210.\nAnswer: -3*(b + 35)*(3*b - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288849*k + 91895*k - 321 + 321.\nAnswer: -196954*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 10*r - 4. Suppose -21 = 3*m + 2*g, 0 = 4*m + g + 34 - 1. Let f be n(m). Suppose 292 = f*q + 3*d - 0*d, -5*q - d + 284 = 0. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62155372?\nAnswer: 2, 31, 431, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 677470 and 203722?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 8200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 3108.1492 and -0.2.\nAnswer: 3107.9492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 10*d + 739 - 260 - 7*d - 234 - 9*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:40 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196299 divided by 6?\nAnswer: 2196299\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74695\/7 + -10671. Let k = 1906 + -15297\/8. Is f at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74618810 > 74618809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45774 divided by -6.\nAnswer: -7629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896855469 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 44.734725 minutes?\nAnswer: 0.03106578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 2, y: 1, r: 1, o: 1, k: 1}. What is prob of picking 1 r and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*x + 2*c - 7*c, -2*x + 5*c = -20. Suppose 4*t - 32 = -x*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 - 4*n - 3. Suppose 32 - 42 = -2*m. Let o(c) = 6*c**3 - 7*c - 5. Suppose -10 = 4*h + 2*i, -2*h - 2 = 7*i - 3*i. Calculate h*o(u) + m*x(u).\nAnswer: -3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4060 + -4041. Suppose -13 = -2*q + 2*f + 49, q = -3*f + 35. What is the remainder when q is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -96*g**2 + 32*g**2 + 5*g + 30*g**2 + 31*g**2. Let p be h(2). Which is the biggest value? (a) -2\/9 (b) p (c) -2\/7 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*b = 0, -7*b + 2*b = 4*s - 85. Let j(r) = r**2 - 15*r + 2. Let a(p) = p + 5. Calculate the least common multiple of j(s) and a(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11457)\/(-15) - 1288\/460.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53213.\nAnswer: 127, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 11*i - 416. Let w = -101 + i. Let p be 42\/(-63) - w\/(18\/(-28)). Solve x - 10 = -p*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42460 and 9108.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 2. Let o be g(3). Let p = o - -8. Suppose 2*i - 47 = -p*x + 21, 3*i - 2*x - 110 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 942.4399 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 150324 = -2*i, n = 24*i - 27*i + 225470. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 5)*(-w - 2*w + 5*w + (3 + 0 + 0)*(-2*w - 2*w + 2*w)) to z + h*w and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 44386?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 14370982408.\nAnswer: -14370982407.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 849979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 9*s + 7. Let r(x) = 2*x**2 - 8*x + 6. Let c(i) = 3*r(i) - 4*v(i). Determine t, given that c(t) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*g + 38 = 0, -4*b + 3*g + 4 = -37. Calculate the highest common divisor of b and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/6 - (-1)\/(-6). Let y(w) = 3*w - 1. Let i be y(u). What is the least common multiple of 2 and i\/4 + (-43)\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2 + (0 + 2 - 3)*(2 + 1 - 1))*(4 + 8 - 2)*(-4*u**3 + u**3 + 5*u**3).\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32501.3 years to decades.\nAnswer: 3250.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**4 + 22*y**3 - y**2 - 72*y + 52. Let j(p) = 3*p**4 + 21*p**3 - 72*p + 51. Let u(c) = -4*j(c) + 3*l(c). Determine i so that u(i) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278\/3 + -91. Suppose -5 = 2*u + 1. Let r = 0.9 + -0.9. Which is the closest to r? (a) 0.2 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 - 244. Let g = -47 - i. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4241, 4238, 4263, 4334, 4469, 4686?\nAnswer: 5003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 9:05 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.70913 nanograms in kilograms?\nAnswer: 0.00000000009270913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*r**(-2\/11)*r)\/r))\/r**(-8\/7))**(-1\/19))**25 assuming r is positive.\nAnswer: r**(-2550\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 305992112 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -125422*k - 877951. What is n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87.728 + 0.428. Let z = m + 87. Sort 0.5, 3\/8, z, 2 in descending order.\nAnswer: 2, 0.5, 3\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 19*t + 2. Suppose -121 = 20*o - 81. Let h(p) = -56*p - 7. Calculate o*h(n) - 7*m(n).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003361.3 rounded to the nearest 100?\nAnswer: 1003400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82104?\nAnswer: 2, 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (149*k - 11*k + 64*k)*(-9*k + 11 - 11 + (-2*k + 5*k - 4*k)*(-4 + 3 - 3)) in the form n*k + m + g*k**2 and give g.\nAnswer: -1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1703679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 + 7*i**4 - 336*i**3 - 7*i**2 + 507*i wrt i?\nAnswer: -120*i**2 + 168*i - 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let l be 0\/((-8)\/14*84\/8 - -7). Which is the nearest to s? (a) l (b) 108 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 3*l**2 + 2*l + 1. Let q(r) = -r**4 + r - 1. Let n(y) = -3*g(y) + 3*q(y). Suppose n(j) = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 122742?\nAnswer: 245484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24*s. Let z(q) be the second derivative of q**3 - 198*q. Give m(z(k)).\nAnswer: 144*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvddddvdvvddvdddvdd. What is prob of picking 1 v and 3 d?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (84\/9)\/(-7)*(-3)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l**2 - l + 2. Let m be r(-2). Calculate the remainder when m\/(-1) - (-1 + -2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*x + 1 - 1.\nAnswer: -381*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 3*d)*(2361 - 2361 - 1487*d**2 + 6777*d**2) + 0*d**3 + 4*d**3 - d**3.\nAnswer: 10583*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.08, -4\/3, -2\/9?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwwwiwiwiwwiewwwwww. What is prob of picking 2 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/11 + (-16)\/(-88). Suppose 8 = o*v - 0. Suppose v*a = 9*a - 55. What is the greatest common factor of 88 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from xjdbxxxbxbaxdbxxxx?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/970 and 11\/1358.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 - 96 = -9*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56783\/12 + 4739. Let r be (-7)\/((-7)\/(-10))*-2. Find the common denominator of ((-5)\/r)\/((-4)\/142) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -16*i + 76. Suppose -m = 3*m - 616. Calculate the smallest common multiple of i and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000198449 rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*d - 12. Suppose 2*p = d*k + 70, 2*k - 5 = k + 5*p. Let o be 1\/4 + (-55)\/k. Calculate the highest common factor of 27 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*y**3 + 264*y - 98*y**3 - 142*y - 63*y wrt y.\nAnswer: -660*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822254.2 kilometers to nanometers.\nAnswer: 822254200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -2 - ((-3 - -6) + 282). What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -73*j**3\/3 - 671*j. Let z(v) = 4*v. Determine i(z(x)).\nAnswer: -584*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 70 - 58. Let l be (226\/(-791))\/(x\/14). Solve 5*j - 12 = -l*d, -5*d - 5 = -4*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 72 = -5*m + 10, 0 = -4*h + m + 54. What is the remainder when 1322\/26 - (37\/h + -3) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:06 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 71.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4114)*-1)\/(sqrt(162) - sqrt(162)*2 - sqrt(162)).\nAnswer: 11*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15737, -31461, -47187, -62915?\n\"Answer: -p**2 - 15721*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(0 - -2)*152262\/99.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coo when three letters picked without replacement from vcovvvvovcccv.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008425 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 - 2646*p**3 - 1742373*p**2 + 10525788*p - 15824484 = 0. What is p?\nAnswer: -1326, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23100270 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1101860, 1101721, 1101500, 1101203, 1100836, 1100405?\nAnswer: 1099916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o + 10*o - 49*o)*(0 - 4 + 6)*(o**2 - o**2 - o**2).\nAnswer: 106*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-308))\/(24\/28)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -81*x**6\/320 + 9*x**5\/4 - 37*x**4\/16 + x**3 + 26*x**2. Find z, given that o(z) = 0.\nAnswer: 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3324 = -i + 3304, 220*i = -5*g + 840 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3346, -2.\nAnswer: -3346, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 8)*(-j + 0*j - j) to the form w*j + r and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -57.9075. What is g rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*d - 30 = 0, 2*d - 16 = 5*h - 57. What is the third derivative of -4*q**2 + 6*q**6 + 12*q**6 + 24*q**6 + 2*q - h*q wrt q?\nAnswer: 5040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11557869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 132 = -5*u + 155, -5*u + k = -271. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 3*h**2 + 2. Let n be v(-3). Let f = 0 + n. Let m = f - -1. Solve 0*p = m*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 23. Let n = -160 + 171. Let c = s + n. Is c greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9712 - -9715. Let d be -7 - (0 + 1)\/(-1). Let j = i + d. Let z(l) = -6*l. Let x(r) = 5*r. What is j*x(v) - 2*z(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 5 (c) -0.5 (d) 3.2 (e) 165 (f) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 966, 5066, 15594, 35766, 68798, 117906, 186306, 277214?\nAnswer: 393846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 12) to base 11\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*z + 2*z - 763, 3*x - 2*z = 601. Calculate the remainder when x is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -48*f**2 - 53*f - 3. Let a(v) = -98*v**2 - 134*v - 6. Let x(n) = 2*a(n) - 5*j(n). Let c(u) = -2993*u**2 + 205*u - 205. Determine -3*c(y) - 205*x(y).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**12))\/v**(4\/9))\/(v\/(v**2\/v))**(-2\/81) assuming v is positive.\nAnswer: v**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0 + -2)**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 376\/675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000583637 rounded to 6 decimal places?\nAnswer: -0.000584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 18*f + 2. Let v(p) = -3*p. Calculate v(t(b)).\nAnswer: -12*b**2 - 54*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 111545 - -4?\nAnswer: 111549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*d + d - 2*d + 2*d - 4*d + d + (-2 - 1 + 2)*(4 - 4 + d) - d - 3*d + 3*d + 19*d - 8*d + 210*d to the form f*d + w and give f.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -334\/5. Do -3 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 29. Suppose -2*y - 3*q = -v*y + 195, -y = q - 179. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 71 + (0 - 0). Suppose -41 - f = 5*d. Let o = -11 - d. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.546037 decades in years?\nAnswer: 55.46037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 179288280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:40 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + (5 - (-16)\/(-48)). Solve 4*b + i*u = 0, -4*b + 11 = -2*u - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 40 + 5*f + 22*f**2 - 27*f**2 + 2*f**3 - 3*f**3 - 15. Let i be l(-5). Is 641 + (i\/7)\/(2 - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.69995+-55\nAnswer: -84.69995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1789, -2134, -3061, -4858, -7813, -12214?\nAnswer: -18349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10*(6 - -4). Suppose -20 = -2*l - g*z, 0 = -5*l + 3*z - 17 + 5. Solve b + l = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 130*x**3 - 420*x - 582. What is the first derivative of q(b) wrt b?\nAnswer: 780*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5\/6, 5, 2 in descending order.\nAnswer: 5, 2, -2\/3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335.2855 kilograms to tonnes.\nAnswer: 0.3352855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1276250\/(10*1\/40). Round q to the nearest one hundred thousand.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from {n: 1, q: 1, i: 1, f: 1, s: 1, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 595 = 490 + 158. What is the remainder when 194 is divided by x?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 811866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 > 410.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 19668 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 2}. Give prob of picking 1 z and 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5*a - 24, -6*a + 4*a - 10 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 144 + (-6 - (-9 - 7)). What is the greatest common factor of 44 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 4*z**3 - 13*z**3 + z**3 - 2*z**3 + 3*z**3 + 3*z**3 - 6*z**3 + z**3 + (-z + 5*z - 3*z)*(-z + z - z**2) + (-z**2 - z**2 - 2*z**2)*(2*z - z + 0*z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 67 - 14. What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 248, 255, 266, 281, 300, 323, 350?\n\"Answer: 2*v**2 + v + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/5)\/q))**(-7\/2)\/(q**(-3)\/q**(-6)) assuming q is positive.\nAnswer: q**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Determine m so that 2*m**2 + 3 - q + m - 3*m**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132210865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/9 - (-44)\/36. Sort -2, p, 2.\nAnswer: -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1189 and -107\/174.\nAnswer: 7134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 882238018*v**6 - 22*v**2 - 4512251*v?\nAnswer: 105868562160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 1. Suppose -6 = u - 7. Let y(l) = 44*l**3 + 2*l**2 - 6. Let q(d) = u*y(d) - 6*p(d). Solve q(n) = 0 for n.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -34318\nAnswer: -3\/17159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146340 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263 + -311. Let w be -9*4\/z*4. Solve w*r + 13 = 5*c, r = -4*c - r + 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192.838 to the nearest integer.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -16*v**3 - v**2 - v - 1. Let y(o) = 2*o + 3. Let g be (-2)\/8 + (-7)\/4. Let t be y(g). Is b(t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.24651 and 25?\nAnswer: -156.16275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 + 1)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96650 + -97236.01916. Let b = v - -586. Let s = 0.02 + b. What is s rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19681 divided by -24.\nAnswer: -19681\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -4)\/(1\/(4\/(-501))). Let w = -696\/1169 - a. Put w, 4, -2\/3, -2 in decreasing order.\nAnswer: 4, w, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*r - 5 - 1)*(-9 - 11 - 4) as w*r + b and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let x(a) = -91 + 91 + 19*a**2. Let m(n) = 37*n**2. Let d(l) = 4*m(l) - 7*x(l). What is d(c(f))?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*j - 104734 = -2*i + 404*j, 2*j = 5*i - 261811. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 288093 and 18.\nAnswer: 288111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuanm. Give prob of sequence auu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7*m = -16. Let i be 166\/8 - m\/(7 - -1). Suppose 3*z - 2*d + 6*d - 29 = 0, -5*z - 3*d = -30. What is the highest common divisor of z and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 795.52.\nAnswer: 790.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3) + sqrt(3))*-6*-6 + (sqrt(300) - 1*sqrt(300))\/sqrt(4).\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2069 + -2069.2. What is the closest to 9 in -2, d, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 206*j + 43. Let v be f(-11). Let y = -1189 - v. Suppose -y = 4*u + 57366. What is u rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3588611 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from rbrvrnbvrlvnbrrn.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 z, and 1 j when four letters picked without replacement from eeecezecazzeeeabcj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a + 18*a - 49*a - 81*a.\nAnswer: -158*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -7)*6\/10. Let l(k) = 4 + u*k + 4*k + 2. Let o(d) = -d - 1. Let t(y) = l(y) + 6*o(y). Let a(s) = 3*s**2. Determine a(t(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.44*0.109188\nAnswer: -0.04804272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3672, 3675, 3678, 3681, 3684, 3687?\nAnswer: 3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -407935.4 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105093 + 61647 = -438*f - 582*f + 57600 for f.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*c = -30, 4*h - 51 = 4*c - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101010010 - 1000?\nAnswer: -111101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50061, -400407, -1351341, -3203157, -6256149?\nAnswer: -10810611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 + 3.4. What is the smallest value in -0.3, t, 4\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (3*sqrt(152))\/sqrt(8) + 5*sqrt(190)\/sqrt(10) + sqrt(19).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqviiyiivivivvvpv. What is prob of sequence viv?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let j = p - -1. Suppose -5*b + 2 = 4*m - 12, -j*b - 2 = 5*m. Solve y - b = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 2*x**3 + 0*x**3)*(2 + 2 - 6) + (-2*x**2 - 5*x**2 + 6*x**2)*(-22*x + 66*x - 15*x) + 2*x**2 + 2*x**3 - 2*x**2 + 2.\nAnswer: -31*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -14 - s**2 - s**2 + 44*s + 3 - 56*s. Differentiate u(l) with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 67*n**2 - 34*n + 32. Let j be g(33). Let c(h) = 1. Let s(o) = o + 1. Calculate j*s(b) - 2*c(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 83 + -55 + (1 + 0 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -12\/5 (c) 9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 2*f - 2*f + 0*f**3 + 3*f**3 - 5*f**3 + (539*f - 64*f + 643*f)*(0*f**2 + 3*f**2 - f**2).\nAnswer: 2238*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39221253517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 4*f**3 - 4*f**3 + 6*f**3 - 5*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**(1\/4)*q*q*q**(2\/3)*q*(q\/(q*q**(-2\/3)))\/q*(q**(-2\/27)*q*q**(3\/14)*q)**(-4\/15) assuming q is positive.\nAnswer: q**(30383\/11340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-12 - (6 - 11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42\/((216\/(-48))\/(201\/(-2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10413 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44*(-1)\/((-2)\/(-1)). Let x = -22 - p. Is x != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Let s(x) = -m + 4 + 17*x + 0. Let v(q) = -q. Determine s(v(l)).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 - 7*l**2 + l - 7. What is the remainder when u(4) is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 4\/(-6) + (-124)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*(y*y\/y**1)\/y)\/y)**16)**(-2\/77)*y\/(y**3*y)*y*(y*y**4\/y)\/y*y*(y*y**(-5)*y)\/(y\/y**6) assuming y is positive.\nAnswer: y**(276\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 9. Let p be u(-11). Solve -3*m + p*m - 17 = 3*t, -3*m + 5*t = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(200) + (sqrt(200) - (sqrt(200)*-2 - sqrt(200)))).\nAnswer: sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uff when three letters picked without replacement from uuufufuffufuff?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + -0.12. Let v = 18.1 + u. Let m = v - 17.6. Which is the closest to -2? (a) 5 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84985163.\nAnswer: 84985163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2 = 2*r - 4, -f - r = -1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4069 - -4070.2804. Round z to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*c - 15 + 107. Calculate the smallest common multiple of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let b be (-2)\/(2*3\/(-12)) - -1. Let o(x) = 22*x**2 + 32*x - 16. Let r(s) = -7*s**2 - 10*s + 5. Let w(v) = b*o(v) + 16*r(v). Determine h(w(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(((-10)\/14)\/(3050\/(-2135)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/9 - (-1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 + 2359*l**4 - 1000378*l**3 + 92887776*l**2 - 132619032*l - 411314247 = 0. What is l?\nAnswer: -1527, -3\/2, 3, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 10. Let v be 6\/(-33) - 9\/t. Let y be (-3036)\/8 - v\/(-2). What is y rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**12\/(i**0*i*i*i))\/(i**(1\/13)\/i**(-6)))**(-18) assuming i is positive.\nAnswer: i**(-684\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.193 + 0.807. Which is the third biggest value? (a) y (b) 3 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1159*c - 577*c - 553*c - 5220. Sort c, 0, -23 in decreasing order.\nAnswer: c, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88482.5kg to micrograms.\nAnswer: 88482500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2. Let m(i) be the second derivative of 2*i**4\/3 - 10*i. What is -5*l(k) - 4*m(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o - 8*o + 2*o**2 + 19*o - 1 - 1. Suppose 2*l - 7 = -3. Determine c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**11\/374220 + l**10\/226800 - l**9\/272160 - 3*l**5\/20 - 5*l**2. Let m(f) be the third derivative of z(f). Factor m(t).\nAnswer: 2*t**3*(t + 1)*(4*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -206, 3, 5, -42.\nAnswer: -206, -42, 1, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431033?\nAnswer: 41, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*s**3 - 759*s**3 + 132*s**3 + 182*s**3.\nAnswer: -802*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158\/399 or 1?\nAnswer: -158\/399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -5*g - 90*f + 94*f, 7*g = g - 10*f - 70 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*b**3 - 2 + 2 - 368*b**3.\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/60 + 3*v**4\/8 - 5*v**3\/6 - 5*v**2. Determine d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27662 * -0.79\nAnswer: 0.2185298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o**3 - 29*o**3 + 13*o**3 - 56*o**3 + 3*o**3.\nAnswer: -118*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500183393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 38 + 44 + -36?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Suppose 2*g = 5*m - 15, -4*m - 3 = -15. Suppose g*o + 5 = o. Suppose 20 = -0*u + o*u. Determine w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3124 - -3159. Calculate the greatest common divisor of 455 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121843451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -32935000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**6\/20 - 7*i**4\/24 - 3*i**2. What is the second derivative of x(r) wrt r?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16819 - 9872. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632392950 less than 632392947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81168*x**5 - 11*x - 3707 wrt x.\nAnswer: -1623360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -190*u - 8571. Determine g(-45).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -98*a**2 - 7. Let r(k) = 95*k**2 + 5. Let n(h) = 4*r(h) + 3*t(h). Let s(c) = 2*c. Give s(n(y)).\nAnswer: 172*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 163233750 divided by 21750?\nAnswer: 7505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, and 1 y when three letters picked without replacement from kktkkyybyktkyokkk?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.011 - 7. Round z to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - x = -0*q + 25, 0 = -3*x - 3. List the prime factors of 2*q + 1 + -3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/17882590 and 51\/14306072?\nAnswer: 71530360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 23166787.\nAnswer: -115833935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1033068 and 5428.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -26. Let o = a - -21. Suppose -n - 33 = -o*c + 2*c, 2*n = 5*c - 171. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37773809 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -55?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i - 1. Let t be g(-1). Suppose -3*p + 4322 = -2*l, t*l + 3 = 2*l. Suppose c = -c + p. What is c rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247\/3, -4\/9, 5\/3, -0.319.\nAnswer: -247\/3, -4\/9, -0.319, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(3 + 6 - 16)*(v + 3 - 3).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 947 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 37 + 0 + -1 is divided by (-16)\/(-24)*30\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3, 2*m = z - 0*m + 4. What is the third derivative of 61*h**z + 1 - 46*h**3 + 66*h**2 - 2 - 111*h**2 wrt h?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5055)\/(-674))\/(10\/8) + 78\/(-8)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 1:55 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3 + 770*y**2 + 1612*y - 324240 = 0. What is y?\nAnswer: -21, 20, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1285589 and 63584?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.18 and 433.2?\nAnswer: 433.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240243 rounded to the nearest ten thousand?\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-64)\/(-3360)*(-3)\/((-3)\/10).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 70, 513, 0.5, -4?\nAnswer: 513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2 + 127*o + 128 = 0.\nAnswer: -1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120345923?\nAnswer: 71, 457, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.692799 to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -6.2. Let m = -0.9 - x. Are 1\/2 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239183872 by -512.\nAnswer: 467156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.4*53807.\nAnswer: 1043855.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.56575512 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.038085 - 38326250\nAnswer: -38326249.961915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(68) + sqrt(68) + 0 - (sqrt(51)\/sqrt(3) + 2)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9308255032.6.\nAnswer: -9308255033.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-7)\/(-168)*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2250\/140)\/(-25))\/((-183)\/(-2562))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s + 60*s = 35*s - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -264264 divided by -20328\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805305678?\nAnswer: 2, 11, 82059349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -23000*l**3 + l**2 - l. Suppose -3*w + 5*w = 5*u + 7, -4*w = 5*u + 1. Let s be r(w). What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180483 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = -d + 5*h, 4*h - 20 = -3*d. Suppose -5*u = -3*f + 3, 4*f + 19 = d*u - 5*u. List the prime factors of 25\/u*(2 - 14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.7388.\nAnswer: 0.07388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -17\/3 (c) 0 (d) 4 (e) -666770\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -13.01?\nAnswer: 2.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1568562*s**3*y**3 + 156*s*y - 3*s + 2*y**3 + 1 wrt s?\nAnswer: 9411372*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tol when three letters picked without replacement from {b: 2, o: 2, t: 8, l: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 350.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 315278 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271.483 + -260.24. Let q = l - 11.74. What is q rounded to 2 decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.810816 to three decimal places.\nAnswer: 0.811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*l + 3, 2*f - 4*l + 1 = -3*l. Let v = 21492 - 21499. Which is the nearest to 0? (a) f (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 25. Suppose 0 = 4*w - 3 + q. Calculate the remainder when 42\/((-4)\/w) - 1 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117.63 + -112.691. What is h rounded to one decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -500266000 to the nearest 1000000.\nAnswer: -500000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 - 190*y = 0. What is y?\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-268)\/(-8) - ((-3)\/(-6) + 2 + -3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvhnkhtkfhhhvhth. What is prob of sequence hhff?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + l - 51. Let v(c) = -c + 51. Give -2*b(f) - 3*v(f).\nAnswer: -2*f**2 + f - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 4 (c) 21224 (d) 3 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 233 - 10 - 83. Solve 0 = -5*c - 2*c + d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*y + 7950 = -6144 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i + v - 12, 4*v - 8 = -2*i. Differentiate 60*l**2 + 11 - 124*l**2 + 63*l**2 + 1 + 25*l**i wrt l.\nAnswer: 100*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 20 = 2*b. Let r be -2 - (-2 - -266)\/b. Let w = 124 - r. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f\/(((f**1*f)\/f)\/f)))\/f*f)**28*f**6*f**0 assuming f is positive.\nAnswer: f**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15018 - 15018 - 3042*o**4 - 3 + o**4 + 3 + (1 + 0 - 3)*(3*o**4 - o**4 - 5*o**4) to the form i*o + y*o**4 + r + q*o**3 + f*o**2 and give y.\nAnswer: -3035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 4. Let l(v) = 4 - 4 + v. Let f(j) = 3. Let p(w) = f(w) - l(w). Let g = 18205 + -18209. What is g*p(y) + 3*h(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 109066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a**(-1\/3)*a)**(-6\/11) assuming a is positive.\nAnswer: a**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 22\/8 - 5\/20. Suppose -7*b + 269092 + 115908 = n. Round b to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:19 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + g**2 + 0 + (3*g + g**2 - 3*g)*(-476 + 136 - 208) + 8*g**2 - 4*g**2 + 4*g**2 to the form f*g + m + y*g**2 and give y.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8513951.31 to the nearest 10000.\nAnswer: 8510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -39. Calculate the remainder when 3 is divided by (3 - (p - 1))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.2608 micrometers in kilometers?\nAnswer: 0.0000002892608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 93*u - 1169. Calculate f(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, s: 2}. What is prob of sequence saa?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9738 is divided by 3210.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -17*u**2. Let k(v) = v**3 + 4*v**2 + v + 4. Let i be k(-4). Let o(b) = 2*b - 4*b + i*b. What is o(f(n))?\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*u = -15 - 69, 0 = -5*r - 2*u - 69. Let s = 27 + r. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 396*k**2 - 3*k + 4. Suppose 0 = -13*z + 3 + 10. Is i(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -347821*c**5 - 254*c**3 + 531*c**2 + 2003*c - 1 wrt c?\nAnswer: -20869260*c**2 - 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 278, 539, 800?\n\"Answer: 261*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3412*t - 145222 = 255*t for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -174726 (base 8) in base 7?\nAnswer: -354316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 367 and 83.\nAnswer: 30461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226870.\nAnswer: 2, 5, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 16*w + 2*w - 8 = -27*d, d = -2*w + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -18 + 98. Let q(s) = s**2 - r - 2*s**2 + 20. Let v(l) be the third derivative of -l**5\/10 + 3*l**2. Calculate q(v(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.6, -255 in increasing order.\nAnswer: -255, -3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17184 is divided by 3431.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:07 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (575\/(-230)*2\/20)\/(3\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/13)\/(y\/(y**(-1\/2)\/y)))\/((y\/(y**(-2)\/y))\/(y\/(((y\/y**(2\/13))\/y)\/y)*y)))**(-32) assuming y is positive.\nAnswer: y**(1328\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313 - 311. Suppose 3*l - 66 - 71 = 4*u, -146 = -4*l - k*u. Calculate the highest common divisor of 9 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-32)*-6)\/((-1)\/((-8)\/(-102))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -289, -480, -703, -958?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314\/565 - -108\/113. Find c, given that o*c**4 + 39\/5*c**2 + 8\/5*c + 17\/5*c**3 - 16\/5 = 0.\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ee + 0?\nAnswer: -5ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3820 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 297693593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*m + 2481*m - 2*m**2 - 495*m = 0 for m.\nAnswer: 0, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108811721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2569 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338050444.5 plus 0.4?\nAnswer: -1338050444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2491*h - 571*h = -3509*h - 810*h + 155975 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240.7 * -1051.\nAnswer: -252975.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 111791880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14012 (base 5) to base 11.\nAnswer: -93a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -28. What is the remainder when 5*9 + 2 + -2 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*o + 15 = 0, 3*o - 6 = -2*r + 19. Solve 3*k = -5*n + 2 + 12, 2*k - r*n = 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*f = -456741, -3*v + f + 195164 + 147383 = 0. Round v to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168 + -168 + (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 3257592?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*f**2 - 736*f**2 - 83*f**2 - 251*f**2 - 976*f**2.\nAnswer: -1789*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + ((-260)\/(-5) - 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156929?\nAnswer: 23, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/516 and 109\/4300.\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7650\/30 + (6\/1 - 4) is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, 1 m, and 1 q when four letters picked without replacement from {q: 5, c: 1, b: 1, g: 2, s: 1, m: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 1.29, -0.4, 2\/15 in descending order.\nAnswer: 77, 1.29, 2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11155458703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)\/(18\/(-7164)). Let v = c + 1009. What are the prime factors of v?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 15 = -3*w, -2*o = 2*o - w - 9. Let u(c) = -c**3 - c**2 - 34 - 5*c + 43 + 2*c**o - 7*c. List the prime factors of u(6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-78)\/24)*0. Let m be 62\/(2 - (n - 0)). Sort 0.4, -0.1, m in ascending order.\nAnswer: -0.1, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140719 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-4))\/((-6)\/432*-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4187776 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-102)\/24)\/((-70)\/175 - 234\/(-560))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 - -216. Suppose -2*a + b*u + 89 = 9*u, 0 = -2*a + 3*u + 79. Calculate the greatest common factor of a and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 758904, 758914, 758932, 758958, 758992, 759034?\n\"Answer: 4*t**2 - 2*t + 758902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**7\/420 - l**6\/12 - 5*l**5\/4 - 125*l**4\/12 + 7*l**3\/3 - 9*l**2. Let s(v) be the first derivative of c(v). Factor s(z).\nAnswer: -2*(z + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 4, -39 in descending order.\nAnswer: 5, 4, 0.4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3*d - 26, 3442*d + 8 = 3*q + 3443*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - i + 19 - 2, 23 = k + 4*i. Suppose -l + k = -2*l. Let u = -1 + l. Let h(z) = -z**3 - 3*z**2 + 3*z - 3. What is h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 8 - (-7 - -3))*-25. Let t = -8 - -58. What is the highest common factor of t and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129390 is divided by 21563.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102103312 (base 4) to base 9.\nAnswer: -123781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10348 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.541 + -0.4718. Let u = l - -83.9308. Are -4 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6347382?\nAnswer: 2, 3, 1057897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-31) - 164780\/16585.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(152) + 2*(sqrt(152) + sqrt(152)*2))\/(sqrt(8) + -2*sqrt(72) + sqrt(8)).\nAnswer: -21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9043*p**2*y - 23*p*y - 39*p - 3*y wrt p?\nAnswer: -18086*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-w**2 + 0 + 0) - 2*w + w**2 + 2*w + 11450*w**2 - 2154*w**2 + 3751*w**2 in the form s*w**2 + b*w + a and give s.\nAnswer: 13050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146 - 146 - 7*x)*(2 + 2*x**2 - 2) - x**2 + x**2 + 2*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 663121792 and -20186.\nAnswer: 663101606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(-14)\/(1232\/(-990))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2\/7, -0.04, -3, 82\/33 in decreasing order.\nAnswer: 22, 82\/33, -0.04, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = o + 26, 8*o = 5*n + 4*o - 29. Suppose -n*b + 31 = 16. Suppose -d = -2 - b. Sort -3, 0.01, d in increasing order.\nAnswer: -3, 0.01, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 9. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2\/9 - ((-1258)\/9 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 - -206. Suppose 0 = s - 5, c + 386 = g - s. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + 37\/(-6). Let h = -4 - i. Solve -4*x = -3*b - 7, 4 - 1 = -h*x - 5*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -95, -100, -105?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/13)*l**(-3))\/(l**(1\/3))**(1\/26) assuming l is positive.\nAnswer: l**(-271\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.22 - -2.13. Let c = -1.01 + v. Which is smaller: c or 51?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 230376 and -0.2.\nAnswer: -46075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 13701, 39, -14 in decreasing order.\nAnswer: 13701, 39, 10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -6 + (6 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.015 (b) -2 (c) 1\/66 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w**2. Let k(f) be the first derivative of -22*f**2 + 186. Determine a(k(g)).\nAnswer: -23232*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26238409?\nAnswer: 26238409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2681 in descending order.\nAnswer: 5, 3, -2681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 - -170. Let i be 7 - (4 - p) - 2. Is i smaller than 20.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1146 and -41\/22156?\nAnswer: 66468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 divided by 5?\nAnswer: 351\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 302, 621, 1044, 1565?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4603*i + 9910. Calculate v(2).\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t - 2. Let o(d) = d**3 + 3*d**2 + 2*d + 4. Let h be o(-3). Give u(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -132 - -146a4?\nAnswer: 14572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3094165, 4, -25\/3 in ascending order.\nAnswer: -3094165, -25\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 88 = f - 2*s, 40 = 2*f - s. Let l = f - 24. Let j be -1 - (-3 + 4 + l). Solve -3*b + j + 11 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2768*y**2 + 249*y - 6?\nAnswer: 5536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1394 and 17?\nAnswer: -23698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v + 88. Calculate m(-15).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23478)\/(-252))\/43*-36*(-11)\/22?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -2 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:38 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*d, -5*d = -5*u - 568 + 2958. Calculate the greatest common divisor of u and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, g: 4, i: 2, u: 5, x: 2}. Give prob of sequence xg.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -7*i**4\/4 - 5*i**3\/3 + i**2\/2 + 5*i - 3. Let b(q) = -13*q**3 - 9*q**2 + 2*q + 9. Let v(f) = 6*b(f) - 11*t(f). Factor v(d).\nAnswer: -(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253 a factor of 2718372475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*d**4 - 2042*d**3 + 62142 wrt d?\nAnswer: 60*d**3 - 6126*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6937464 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-15))\/((-11)\/44). Let h be 42 - (-1 + (-1 - -2)). Let s be 5\/3*h\/(-7). Which is the third smallest value? (a) 0 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - -879. List the prime factors of g.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33280 divided by 2560\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 6*m + 1. Suppose -2*i = -2*v - 22, -i + 4*v = -4*i + 5. Calculate the least common multiple of 16 and q(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 4*a - 5. Let n be z(-5). Let b be (-1 - n)\/((-8)\/4). Let d = -27 + 26. What is the nearest to b in 2\/5, d, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*x + 16. Let r = 149\/36 + -44\/9. Which is the second biggest value? (a) -1\/5 (b) 17 (c) r (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 24*x**2 + 28*x + 87. What is c(-24)?\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/48 (b) -1605 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53415 is divided by 7294?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - 582?\nAnswer: -581.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51\/5 of a meter?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*(1*(sqrt(1872)*-1 + 4 + sqrt(1872)) + -1 + (sqrt(1872) - (0 + sqrt(1872) + -2) - sqrt(1872))))**2 + -2).\nAnswer: -3840*sqrt(13) + 60700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:09 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*w - 8. Suppose 0*p - w*p = -y + 5, -5*y - 4*p + 11 = 0. Let n(s) = 3*s**2 - 2*s - 4. Give n(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 9258\/(-1520) + 4 - -2. Let t = 9\/40 - x. Let z = t + -56\/57. Which is greater: z or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35 + 6 + 24 - 301*f**4 + 5 - 776*f wrt f.\nAnswer: -3612*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {t: 12, y: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 4*w + 1. Let d = 4 - 8. What is o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/26 and 56\/143.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19101, 19003, 18685, 18021, 16885?\nAnswer: 15151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/297 + (-6)\/(-33). Let y = -7.3 + 3.5. Let w = -0.2 + y. Which is the second smallest value? (a) -2\/7 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6914264388.\nAnswer: 2, 3, 19, 30325721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/(-28) - 5 - 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9734232 and 9734232 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u. Let m(a) be the third derivative of -a**4\/8 + a**2. Let p(x) = -4*x. Let b(t) = 3*m(t) - 2*p(t). Calculate b(n(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -141138.93 rounded to the nearest 100?\nAnswer: -141100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85206?\nAnswer: 2, 3, 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117.419410057 + -10.\nAnswer: -127.419410057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4845 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 221980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 25*r**2\/3 - 56*r + 48.\nAnswer: -(r - 12)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220 - 13*c - 2*c**2 + 73*c + 4*c.\nAnswer: -2*c**2 + 64*c + 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 118788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29520489 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 9*r - 14. Give a(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*z**4 + 1\/4*z + 1\/4*z**2 - 1\/4*z**3.\nAnswer: -z*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from wswswtsss.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**7\/840 + n**6\/180 + n**3 - 3. Let w(f) be the third derivative of q(f). What is the third derivative of w(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458*i**4 - 550*i**2?\nAnswer: 10992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 450, -4, -2\/1477, -3, 0 in increasing order.\nAnswer: -4, -3, -2\/1477, 0, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9007990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 take away 0.4?\nAnswer: -0.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21325*h**2 - 24 + 24 - 21328*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q. Let m(b) be the second derivative of b**6\/360 - 5*b**4\/12 - 3*b. Let x(t) be the third derivative of m(t). Calculate c(x(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*x - 131, 2*x = -l - 2*x + 35. Calculate the highest common divisor of 135 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -12) + 1 - (-43 + 1)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-528))\/(5\/240).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134521?\nAnswer: 17, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*i + 3 = 194*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:24 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = q + r, -34 = -3*q - 3*r - r. Let k = -4 + q. Let n(c) = 4*c**k - 4*c**2 + c**2. Let l(i) = 4*i**2. Calculate n(l(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14*c - 2. Let x be (4 - 5 - -1)\/(-1). Let l be d(x). Let m(g) = -3 - 4 - 2*g + 4. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 15 + -1 + (-11 - -5) - (12 - 49)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -640.21 + 644. Let k = -0.21 - u. Sort k, 3, -4\/5 in increasing order.\nAnswer: k, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/7 - 195*q\/7 + 594\/7.\nAnswer: -(q - 3)*(q + 198)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1913.06 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153143 - -1505?\nAnswer: -151234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-760)\/(-570))\/((-19)\/(627\/286)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/105)\/(-3*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 10*q + 1. Let a be j(-10). Let k be (a + 2)*20\/3. Suppose -1 = r, -n + 4*r + r = -k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q**3 - 1)*(0 + 0 - 1)*(q + 22 - 22).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t + 165. Give k(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -231659 times -0.04\nAnswer: 9266.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 155951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28521 - -4435?\nAnswer: 34056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + p - 1 + (3*p - 3*p - p)*(-2 + 4 - 4) - 6*p + 15*p + 3*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 716, 980, 1156, 1226?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - (-16 - -19 - (4 + -2)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 11) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/487640 and -89\/5840.\nAnswer: 975280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36492685 by -4.\nAnswer: 36492685\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788429 is divided by 1499?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2579\/417 - 5\/278. Let q = 2 + 0. What is the common denominator of 146\/q*(-2)\/20 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u*u\/(u**(1\/9)*u*u)*u*u*u*u**(2\/19)*u)\/(u*u**(4\/3)*(u**3*u)\/u) assuming u is positive.\nAnswer: u**(284\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 749678790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 4663675230.\nAnswer: 4663675257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.61 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(-4 + 0 + -2 + (sqrt(396) + -1)**2) + 1.\nAnswer: -2345 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 199*a - 203*a + 44. Let y(r) = -r + a*r + 151 + r**2 - 153. Give y(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 543 = -5*d, 36*m - 31*m - d - 849 = 0. Solve -12*c - 219 + m = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8798835179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 6*a - 5. Let v(k) = -2*k**2 - 13*k - 10. Let m(n) = 3*v(n) - 5*y(n). Let s be m(-8). Solve 7 = 4*x + s*r + 2, 5*x - 5 = -4*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = 5, -2*w + 4*g + 24 = 0. Solve -18 = w*o - 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 5. Let h(p) = -p**2 - 4*p. Let v be h(-3). Suppose 5*t = -j + 30, j + 24 = t + v*t. Give a(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 3455*u**3 - 558920*u**2 + 13307280*u.\nAnswer: -5*u*(u - 21)*(u + 356)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2226*v + 2229*v - 4*n - 23, 0 = 5*v - 5*n - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 6*j - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-9*q**3 + 10*q**3 - 3*q**3 + 2*q**4) to w + p*q**2 + l*q**3 + h*q**4 + f*q and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 22*l - 10686 = -10718, 0 = -4*v - 5*l + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*v + 474 = 97*v. Let w = v - -818. Suppose -q + 5*q - w = -2*a, 0 = 2*a. What are the prime factors of q?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -9*s + 5643. Does 57 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 12992*g - 4289385. Calculate y(339).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10135335 (base 6) in base 2?\nAnswer: -1000111011111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -13, -2, 0.4, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmmmmmmmummmum. Give prob of picking 1 u and 2 m.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-6*(0 + sqrt(500)))**2*-5 - (sqrt(80) + 2*sqrt(80) + sqrt(80))**2*3*-4).\nAnswer: -74642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -19*a**9\/126 - a**8\/168 + a**5\/10 + 11*a**4\/24 - 192*a**2 - 2*a. Find the third derivative of r(s) wrt s.\nAnswer: -9120*s**3 - 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from usussuusussus.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 18 = 27*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 13*s + 36. Let m be p(-10). What is the third derivative of 30*g**2 - 22*g**m + 38270*g - 38270*g wrt g?\nAnswer: -2640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36681 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 12, y: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 19. Solve 6 = 4*q + 3*i + g, 0 = -4*q + i - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -121. Let m be (39\/2)\/(q\/(-112)). What is the highest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74247 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -97\/3 (b) 0.3 (c) -177 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2 + 6*x + 14. Let g be k(-5). Find the common denominator of -44\/3 and ((-15)\/g)\/((-25)\/(-510)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9155.9162 to the nearest integer.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.562 and -2?\nAnswer: 41.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 31 = -116. Solve -x = l + 2*l - z, 20 = 5*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 6 + 10 - 5 + c**4 + 11*c**3 + c**2 to the form x + a*c**4 + n*c**3 + l*c**2 + p*c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1419\nAnswer: 5\/1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, n: 3, b: 1}. Give prob of sequence pb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84382*c**4*w**2 - 6*c**2*w**3 + w**3 - 8*w**2 - 7880*w with respect to c.\nAnswer: -337528*c**3*w**2 - 12*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y + 128. Let x be i(0). Suppose 4*r + r = -5*a + 650, 505 = 4*a - r. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -23. Let x = z - -19.1. Let p = -2 + x. What is the closest to 2\/7 in 0.5, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + f)*(5*f**4 - 3*f**4 + f**4) + 0*f**4 + 0*f**4 + 2*f**5.\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = -36 + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 11*v = -5*m + 3, 5 = 3*v - m. Solve -10*a + 11*a + 18 = -4*z, v*a = z + 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h. Let c be r(1). Suppose 0 = c*n - 4, -4*n - n = -4*y + 483995. Round y to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 + 6740*g - 6740*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 9. Suppose -o - 11 = -2*i, 3*o = -i - g - 39. Let z be (-5)\/o*24*1. Solve 4 = 3*j - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/872 and 16\/4916663?\nAnswer: 39333304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -14. Let l = 39 - 19. Suppose -18*u + l*u = 6. Sort s, 4, u.\nAnswer: s, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(224) + sqrt(56) - sqrt(56))\/(sqrt(8)*-1*2 + sqrt(8)).\nAnswer: -4*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z + 39499444 - 39499444 + z. Let y(m) = 0*m + 7*m - 7*m**2 + 0*m. Determine j(y(x)).\nAnswer: -7*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f + 269*f + 526 = 2334 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(627\/76) - 445\/(-3). Suppose -56*b + i = -7*b. Determine p so that p**2 + 0*p**b + 0*p - 1\/4*p**4 + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-32) + (-13535)\/(-4). Let f = -33871\/10 + o. Calculate the common denominator of 113\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 89*j - 116. Let g be z(46). Put 3, g, -5 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 9*z - 1. Let t be c(0). Let f(k) = -9*k - 7. Let l be f(t). Solve -6*v + l*v + 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 15*j + 35. Let t be r(14). Suppose 36 = 3*u + t. Sort 1, u, 4, 2.\nAnswer: 1, 2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/7 + -2 + -31 + 34. What is the third biggest value in i, -2, 2057?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 1596076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 274 - (4 + (-5 - 0)). Suppose t = k + q, -4*q - 1124 = -8*k + 4*k. List the prime factors of k.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -52. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202200102 (base 3) to base 16\nAnswer: 3ae5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/186 and -37\/11411136.\nAnswer: 353745216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -m + 6*m, 2 = 5*u - 3*m. Let v(s) be the first derivative of 2*s**3\/3 - 2*s + 48. Let z be v(u). Let j(g) = -g**3 + 7*g**2 - 6*g. Give j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3519 and 231081?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-264))\/(23\/(-501)). Let p = k + 11\/23. Which is the third smallest value? (a) -3 (b) 4\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -135, -280, -483?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 - 2186\/(-4312). Let n = 3\/49 + u. Let j(z) = -2*z - 9. Let f be j(-6). What is the third smallest value in f, n, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbh when four letters picked without replacement from {h: 6, b: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9097 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/r)**(-3\/17)*((r*r*r\/r**(-1\/22)*r)\/r)\/(r\/(r*r*r**(-2\/15)*r)) assuming r is positive.\nAnswer: r**(28327\/5610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/190 and 79\/960?\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 + 5*a**2 + 5*a + 23. Let d(p) = p**3 - p**2 - p - 1. Determine c(g) + 5*d(g).\nAnswer: g**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -0.4, 0.04, 5\/7, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*l**2 + 4 - l**3 - 6 + 101*l**2 to the form p + u*l**3 + b*l + g*l**2 and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2743 + -167319\/61. Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4.7736633 days?\nAnswer: 0.6819519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 - -101. Let q be 3 + 175\/(-49) + 34\/s. Let d(w) = -w + 1. Let r(a) = 4*a - 6. Give q*d(b) - r(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 + 75 - 22*t)*(-2 - 5 + 5) + 2 - 2 + 5*t + (4*t - 3*t + 0*t)*(-1 + 2 - 2) - 2*t + 1 + 4*t + 0*t to the form r + w*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*d + 292*d = 855*d - 25320 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-8))\/((-6)\/88). Let k = 4\/3 + q. Let h = 1 + -6. Which is the second smallest value? (a) 2 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1134)*-1 - sqrt(1134))*5)\/(-1*(sqrt(63)*-1 - sqrt(77)\/(sqrt(11)*2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*j - 5*k, -j = -2*j - 3*k - 7. Let g(v) = -v + 4. Let x be g(-3). Suppose -j*i + 549 = x*i. Calculate the remainder when i is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -0.246 (c) 2\/5 (d) 0.008 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-352) - 20\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700)*-1 + -1 - -6*(sqrt(1700)*-3 + sqrt(1700)))**2 + -5 + ((0 + sqrt(1700) + 2)**2 - (sqrt(1700) + sqrt(1700)*2*6)) + -4.\nAnswer: 150*sqrt(17) + 246496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 11*r - 9. Let s be g(-4). Sort -29, s, -2 in descending order.\nAnswer: s, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1432.235 and -2.\nAnswer: 2864.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.3947 rounded to one decimal place?\nAnswer: 161.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - 2*q**2 - 2*q - 1. Let j be v(-1). Let a(u) = u**j + 6 - 2 + 3 - 10*u. List the prime factors of a(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32\/35 + 5\/7. What is the nearest to -1\/3 in j, -1\/4, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*(5 + -11). Suppose -y = -3*y + 5*u - 66, 72 = -v*y + 2*u. Let m be y\/(-8) - (-4)\/16. Let j(h) = h - 7. Calculate j(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 32155 = 4*u, 5*u + 4*c + 2407 = 42606. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 8) + -1 - (-15)\/(-120)*856. Sort -4, 1, w, 3 in decreasing order.\nAnswer: 3, 1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000076077538 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 13*a**2 + 17*a + 16. Let p(q) = -20*q + 1006. Let y be p(51). Determine l(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(45)*2)*3)\/(-1*sqrt(9)*-5).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3427 = -10*z - 9967. Put z, 5, -2, 3, 2 in decreasing order.\nAnswer: 5, 3, 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -103 - 27. Suppose 4*u + 2403 = 3*d, -10*d - 2*u = -t*d + 2409. List the prime factors of d.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -25. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3075353kg?\nAnswer: 307535300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609 = 5*t + 14. Let d be -5 + 6 + (-2062)\/t. Let l = -2\/357 + d. Calculate the common denominator of l and -14\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*z - 49401 + 4420 = -1110*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -25*v**3 - 18760*v**2 + 4122100*v + 1651840 = 0.\nAnswer: -928, -2\/5, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1646, -5, -4 in increasing order.\nAnswer: -1646, -5, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 22 + 6 = 0. Solve -5*g - 6 = c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515*o = 1775*o - 2340 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 + 2 + 9 + 10\/(-2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**3 - 5*l**2 + 4*l - 2. Let o be (44\/(-33))\/((-4)\/6). Suppose -o*s - 6 = -3*g, 2*s + 0*g + 4*g - 22 = 0. Is d(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501463 is divided by 2011.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 2*b**2 + 58*b + 109. Determine h(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**5\/5 + 19*s**4\/2 + 120*s**3 - 19*s**2 - 361*s + 13. Factor l(y).\nAnswer: (y - 1)*(y + 1)*(y + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5276 is divided by 188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let m be r(-1). Let g = 0.65 + -0.05. Let w = 0.7 - g. Which is the nearest to w? (a) m (b) 2 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236 + 241. Let p be (-2)\/14 + j + 204\/(-42). Solve p = -b - 2*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-526)\/(-2367))\/(4\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 45 = 7*h. Suppose d = -2*d + h. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 2*l)*(2*l + 20*l**2 - 2*l).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 515727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-2 + 0 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41022511 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5444107 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-52) - (-33)\/12)*(-2)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 63*j + 189. Let y be w(35). Is y greater than or equal to -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.714181l?\nAnswer: 4714.181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3501188 - -1610?\nAnswer: 1609.6498812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 2.008.\nAnswer: -1.2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 9 - (-5 + (0 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 714*k + 502976. Determine c(437).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 47500?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 384, -3, -2\/35, 0.3 in increasing order.\nAnswer: -3, -2\/35, 0.3, 0.5, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/120 - 11*n**5\/45 - 17*n**4\/18 + 32*n**3\/9 - 11547*n**2. Solve r(f) = 0.\nAnswer: -2, 2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(24\/(-66))\/((-256)\/5984)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419723 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 309 and 39140?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20054959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, 5, 116, 26, -12.\nAnswer: -12, 5, 26, 116, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3\/8, -0.14, -5, 1\/6, 1\/3, -169?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207.3 + -214. What is the third biggest value in 0, b, -1, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -893 - 160*u**2 + 503*u**2 - 165*u**2 - 529 - 705*u - 175*u**2.\nAnswer: 3*(u - 237)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -0.3, -0.1, 0 in decreasing order.\nAnswer: 72, 0, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -491898 - -1825726. Suppose -b - 3953816 = 3*s - j, 5*b + 13099984 = -4*s. What is b rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180968840?\nAnswer: 2, 5, 13, 348017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1013, 0.2, -5, -0.4, -32.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42209 + -19924. Suppose 8185 = -3*y + q. Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 65 + 329)*(-t - 4*t + 4*t).\nAnswer: -316*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1972705.7 to the nearest ten thousand.\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from yyynurymyyyuyyry?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - k**4 - 14*k**3 + 2*k**2 - 17*k**3 + 28*k**3 to h*k**2 + m*k**4 + t*k + l*k**3 + o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -21. Let w = m - 10. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*q + 38*q - 18*q - 2244 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1642*v + 49 - 3280*v + 1645*v to a + c*v and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91354513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - 2*((sqrt(98) + 0)**2 - sqrt(98)))*3.\nAnswer: -588 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 12*z**2 - 16*z - 21. Calculate y(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 1587 - 1171. Let t = r - -590. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -433 - -610. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(189\/(-14)) - (-1924)\/(-6). Let v = q - -417. What are the prime factors of v?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*y - 1. Let q = 0 + 4. Solve -q = o - y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32452 = 74*v - 26680 for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(27\/(-34)) - (-26)\/(-117). What is the tens digit of (q\/((-96)\/(-558)))\/((-6)\/64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 50, 71, 90, 107, 122, 135?\n\"Answer: -t**2 + 26*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31\/25, 4, -4, -0.1, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1823 + 2922. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 - 3*t**2 + 3*t**3 + 2 + 2 + 1215*t - 2 - 1476*t in the form c + z*t**2 + n*t**3 + m*t and give m.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165549 and 834?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -21 (b) -5389 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5)*10 - -6. Let w(k) = k**2 + k**2 + 3*k**2 - 2*k - 1. Calculate w(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-399))\/((-1)\/(-3)*-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -509 + 970. Let w = 463 - s. Let k(j) = 4*j - 2. Give k(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -69, -97, -125, -153?\n\"Answer: -28*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31343, 61022, 90701, 120380, 150059?\n\"Answer: 29679*c + 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29266840 divided by 19?\nAnswer: 1540360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 113. What is w(-14)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -687 - -402. Suppose -50*u + 30138 = 6888. Let o = u + s. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*m**2*p**3*r + m**2*p*r - 56*m*p**3*r + 2*m*p**3 + m*r wrt m?\nAnswer: -16*p**3*r + 2*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 2*c**2 + 72*c - 15. Let x be p(7). Solve -41*z = -x*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Differentiate -9*c**z + 2 + 0 - 4 + 10*c**2 with respect to c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzo. What is prob of picking 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21001032 (base 4) to base 2\nAnswer: 1001000001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82693611?\nAnswer: 3, 7, 11, 13, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5420)\/270 - -10) + 10.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = c - 5*c + 5*m, 0 = -4*c - m + 97. Let v = 24 - c. Suppose -g + 8 - 2 = v. Solve 2*n = -5*r + g*n - 3, 0 = -2*n - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Let f = 3 - g. Let b = -0.9975 - f. Round b to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y - 1. Let s be f(-3). Suppose -4*p + v = -143, -3*v + 7*v = p - s. Let r(a) = -p - 3*a + 12 + 4*a + 14. What is r(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/4 - 4992*f + 59796 = 0. What is f?\nAnswer: 12, 6644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.2. Let o be (-9)\/((-9)\/4) + -106. Let i = -512\/5 - o. What is the closest to -2 in i, y, 0.03?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 526 in -4, 13, 75, -1?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 1222012120 (base 3) in base 5?\nAnswer: 2220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-404)\/(-32))\/((-9)\/70). Let w = 367\/4 + c. Determine l so that 0 + w*l**5 - 4\/3*l + 0*l**3 - 8\/3*l**2 + 8\/3*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 183978 and 3?\nAnswer: 551934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 12*w + 12. Let i(z) = -z - 2. Let v be i(-10). Let y be c(v). Let b = 175\/4 - y. What is the smallest value in -1, b, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 4*g - 3. Let x be c(4). Calculate the common denominator of -74\/9 and (-68)\/22*x\/(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*i**5 + 10*i**5 - 7*i**5 + (-4 + 3 + 2)*(3*i**5 - 2*i**4 + 2*i**4).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11691345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*y - 15 = 0, -137*y = -141*y - 4. Which is the closest to j? (a) -34 (b) 2\/9 (c) 2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 41. Let w be y(11). Let k = 1158 - 689. Suppose 0 = -3*t - 0*t - w*c + 1407, k = t - 3*c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-2)\/(-20))\/(10\/(-5))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -151*y**6\/60 - y**4\/2 - 7*y**3\/2 - 3*y**2 - 23. Is u(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351478729 divided by 2\nAnswer: 351478729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 11. Let c = u + 19. Solve -c = -5*q + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 6*s)*(3 - 2 + 0)*(7 - 3 - 3)*(2*s + s - 4*s)*(0 + 11 - 1)*(2*s**3 + 0*s**3 - 4*s**3).\nAnswer: 100*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 221057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14*a**2 - 5*a + 5. Let s(x) be the first derivative of 209*x**3\/3 - 38*x**2 + 76*x - 125. Calculate -76*m(p) + 5*s(p).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 346?\nAnswer: 3\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - -0.7. Let o = z - -0.5. Let g = 0 + 0.4. Which is the closest to 1? (a) 3 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/13092 and -27\/7.\nAnswer: 91644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 275*c**4 - 48*c**3 - 6363 wrt c.\nAnswer: 1100*c**3 - 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 42*m**2 - 9*m + 29. What is the hundreds digit of x(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -169, -580, -1265, -2224, -3457?\n\"Answer: -137*b**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16*3\/33 + 0. Suppose 436 - 442 = 4*y - r, -5*r = 4*y - 30. Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 5*x**2 - 3*x. Let w be m(4). Suppose -u - o = -2*o - w, -u = 4*o - 19. Let s = 25 + u. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 34*g - 3625. Let s be f(107). Solve -17*a + s = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154 - -4?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -6432?\nAnswer: 2572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4665620.54397 - 4665968.6. Let y = f + -0.37397. Let p = 347 + y. Round p to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 - 7*z**4 + 764*z**3 + 3836*z wrt z.\nAnswer: 40*z**3 - 84*z**2 + 4584*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100 - -2102?\nAnswer: -21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -700.02758 + 700. What is j rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -3 + -18 + 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 161 + 30 + -59 - 62\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 8*f**2 - 4*f. Let g be c(5). Suppose -23 = -2*i + g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243512 is divided by 597.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/1)\/((-8)\/(-16)*6). Sort -110, 3, i, -5 in descending order.\nAnswer: 3, i, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.49 + 6.99. Let t be (-1)\/(-1 - 3\/(-2)). Let v be 0\/t - 7\/14. What is the nearest to v in 16, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5088*m**2 - 2*m + 19560 wrt m.\nAnswer: -10176*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - -21. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okmkkoorkkkok. What is prob of sequence mo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (23 - (-15 - -26)) + 2906 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**3\/3 + 2*o - 106. Determine d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17373 - -17352. What is the biggest value in 5\/8, -2, f?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 x when four letters picked without replacement from rxxrrxrxxxrrrxxxrxr.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 3 + 3 + 4*b. Let a = 1 - -1. Let l(k) = -2*k**2 + 5*k**2 + 0*k**a. What is l(u(z))?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phpb. What is prob of picking 2 p and 1 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 - 3. Let b(n) = 13*n**2 - 7. Let y = -50 - -55. Let h(g) = g**3 - 4*g**2 - 4*g - 2. Let a be h(y). What is a*b(u) - 7*t(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.7302911 and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/7 (b) -0.5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -154*a**5\/3 + 281*a**4\/3 + 3252*a**3 + 567*a**2 = 0.\nAnswer: -7, -27\/154, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8052 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p = -88 + 2935 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 35099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*r + 15 = -507*r + 4*l, 0 = 4*r + 2*l + 12. Which is the second biggest value? (a) -73.3 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 6\/5, -0.5, -4, -0.3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -17*j**3 + 8*j**2 - 3*j. Let n = -7029 + 7026. Let w(h) = 6*h**3 - 3*h**2 + h. Calculate n*m(c) - 8*w(c).\nAnswer: 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 34*r**2. Let u(y) = -10*y**2. Give u(d(a)).\nAnswer: -11560*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**2\/2 - 565. Let q(w) = w + 2. Determine -2*o(m) - q(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (5 + -5) - (-5 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (-188352)\/(12\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (3 + -2))*0. Let m be (-2 - -2)\/(x - 1). Suppose m = 2*z - 0*z. Is 1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y - 2490 = -2150. What is the second biggest value in y, 16\/109, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 396*o + 9966. Let f be u(-25). Which is the biggest value? (a) 0 (b) -3 (c) 0.5 (d) 4 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 910 - 894. Solve -o + 4*q - 5*q - 8 = 0, 4*q + v = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300175899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-35 - -17) + 31 + -2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 = 5*b, -5*b - 5*v - 1 = -6*b. Let h(u) be the first derivative of -77003*u**2 + 6*u + 3. Let s be h(b). What is s rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -492 - -514. What is the remainder when 198 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 496*i**2*q**3*r**3 - i**2*q**3*r + 2*i**2*q**2*r**2 - i**2*q*r + 45*i*q*r**3 wrt q?\nAnswer: 2976*i**2*r**3 - 6*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3259836 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*d + 4*d. Let c be (-36)\/48*(-8)\/d. Let l = c + 0. Put l, 1\/8, -0.1 in decreasing order.\nAnswer: l, 1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -10. Let 0*o**3 - o**3 - o**r + 3*o**3 = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-696)\/2552*99\/(-21)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6112*g**5 - 19496*g wrt g.\nAnswer: -122240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -2. Put -1, -5, z in increasing order.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(0 - -7103)*3\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.33, 0.205, 0.01 in ascending order.\nAnswer: -5, -0.33, 0.01, 0.205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + d)*(-1 + 1 + d) + (-176*d**2 + 87*d**2 - 151*d**2)*(4 + 3 - 5).\nAnswer: -481*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from ezeeeezezzeze.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 10*z + 6. Let t be 12\/7 - (-2)\/7. Suppose t*u + 2*u - 48 = 0. Calculate the lowest common multiple of u and k(-8).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787272 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: Convert -47367 (base 8) to base 5.\nAnswer: -1121330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-12)\/(-2) - 12). Sort q, -8, 1.\nAnswer: -8, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k - 561 = -56*k. Let g be (-310)\/(-18) + (-8)\/36. Calculate the greatest common divisor of g and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9056 * 135\nAnswer: -1222560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 922, 2429, 3936?\n\"Answer: 1507*f - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 + 4*z - 3. Let c be l(2). Suppose -14 = -3*q - c. Differentiate -8*u**3 + 2 + q + u**3 with respect to u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 5*t. Let w be m(4). Suppose 0*o + w*x = o + 22, -5*o = -4*x + 46. Let c(a) = -a. Calculate c(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let i(f) be the third derivative of -f**4\/24 + f**2. Suppose -3*k = 2 + 10. Let n(l) = l. Let z(y) = k*i(y) - 3*n(y). Calculate q(z(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*1\/2 + -3 + 9. Suppose 0 = 3*l + 9, 1002 = i*s - 0*s + l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (787*l - 787*l + 154*l**3)*(-124 + 42 + 14) to m*l**3 + q*l**2 + i*l + p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j**2 - 4*j + 1. Calculate n(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20349 and 133875?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6381156*k**4 - 11864713 wrt k.\nAnswer: 25524624*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5859126411 to the power of 1\/2, to the nearest integer?\nAnswer: 76545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -72*u - 70. Let s be a(-1). Solve -x - 3*j + 11 + 1 = 0, -s*j = x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 14. Let r be k(-4). Suppose -r*h + 52 + 74 = 0. Let u = 118 + -115. Solve 25 = 5*m - 2*l, -2*m + u*l + h = -0*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/11 + 4172*g**2\/11 + 647070*g\/11 - 21344904\/11 = 0.\nAnswer: -171, 28, 2229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 - 1356?\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5 + 5. Let q = -18 - -81. Suppose -3*u = -3*z + q, -3*u = -u + 6. Calculate the lowest common multiple of k and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let u(b) be the second derivative of -b**3\/2 - 4*b. What is u(l(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ae4 + 0?\nAnswer: ae4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 963*r*z**4 - 8448*r - z**4 + z**2 wrt z.\nAnswer: 3852*r*z**3 - 4*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/16*(15 + -5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -5.16. Let o = 4 - z. Let j = 4 + 1. Which is the nearest to 2\/9? (a) j (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39190 is divided by 1896?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 1, q: 2, i: 2}. What is prob of sequence iqc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*l - 2*l + 23, 4*r - 19 = -3*l. Let z(c) = c**2 - 5*c + 4. Give z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 - 38*a + 2. Let v(s) = -2*s**2 - 13*s + 1. Let y(o) = -3*p(o) + 8*v(o). Let q be y(8). What is the highest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -26843333?\nAnswer: 26843330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 397c + -2?\nAnswer: 397a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 11*v**2 + 27*v - 26. Let l be r(-13). Suppose f = -5*m - 26, -62 = 4*f - 5*m + 67. Let y = f - l. Which is bigger: y or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6760\/3? (a) 10 (b) -0.2 (c) -0.05 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 p when four letters picked without replacement from {y: 1, l: 1, w: 5, j: 3, p: 4}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d**2. Let k(f) = -12347983*f. Calculate c(k(j)).\nAnswer: -2134617578356046*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 12 = -2*q + 4, -2*q + 8 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 107 (b) 2 (c) -538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - (-40)\/6. Let j = 12 - 6. Let o = j - v. What is the closest to o in -3\/8, 2\/3, -3\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 a when three letters picked without replacement from mkkaammm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52864133*t - 4672923 wrt t?\nAnswer: 52864133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 2*p**2 - 5*p - 3. Does 10 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 6. Let l be p(-3). Let w(k) = k**2 + 4*k - 4. Is 17 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13568 - -11898.59.\nAnswer: -1669.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) 3 (b) 2 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -62, -1\/6, 2, -0.2, 5, 119?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 9*l + 4. Let n be c(-9). Suppose 0 = 2*q + 4*v - 8, -17 - 5 = -3*q - n*v. Let g be (-2 - (-1 - 1)) + 3. Solve -g*i - q - 1 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2 + 2*m - 5. Let q(f) = -5*f**3 - 15*f**2 + 9*f - 19. Let i(v) = 9*n(v) - 2*q(v). Calculate i(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + ((-13070704)\/(-28) - 1\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 14) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7875 and 1446165.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - c - 0 - 12, 0 = -3*t + c + 17. Solve -211 = -t*h - 221 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 25*c + 36 = 0. Let y(o) = 2*o**2 - 15*o - 18. Let i be y(c). Is 12\/(-18) - (-4443)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Let o be c + (0\/1)\/3. Suppose -1 = 5*g + 14. Put g, o, 2 in descending order.\nAnswer: o, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/30 and 17\/1494?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 2\/7, -2, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 492.63.\nAnswer: 492.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -109*b + 113*b + 5*a, -2*a = 4*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*i**5 - 16\/5 - 76\/5*i**2 + 56\/5*i + 10*i**3 - 16\/5*i**4 = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-3)*(60\/(-4))\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -14140 - 25823. Suppose 1599 = 9*c - w. Does 58 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136861 (base 9) to base 8.\nAnswer: -243541","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 786475.2cm in meters?\nAnswer: 7864.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 87?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45280.4 + -45280.2. Let k = 19 + -10. Let u be (k\/(-40))\/(12\/(-10)). Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/4, 9.959, 6, -39\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 13, -4, 3 in decreasing order.\nAnswer: 13, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/6 + 10\/(-15). Is 7 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 10. Let p be n(8). Let d = p + 1. Let t = 6 - 10. Which is the biggest value? (a) d (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 26, -4, 1, -156, 928, 5 in descending order.\nAnswer: 928, 26, 5, 1, -3, -4, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:16 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 5*w - 3. Suppose -4 - 5 = -3*q. Suppose q*b - 9 - 6 = 0. Determine f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 100\/43?\nAnswer: 100\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + w**2 + 6*w + 3. Let q be b(3). Solve q*t + 19 = -0*y - 5*y, y = t - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - -8 - (59 - 61)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -669 + 3917\/6. Find the common denominator of -41\/30 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(22)\/(sqrt(33)\/sqrt(3)) + (4*(sqrt(98) + 2 - sqrt(98)) - sqrt(98)))**2.\nAnswer: -84*sqrt(2) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2799 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13508754799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 7852?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-20)*f)\/f*f**(-9))\/(f\/(f*f\/(f*f**9*f)*f)*f*f\/(f*f**(2\/39)*f)) assuming f is positive.\nAnswer: f**(-1402\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/158? (a) -1\/7 (b) 2 (c) -0.01 (d) -5 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 8*i - 10. Let s be x(5). Is -6*(-13 - s - 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-3) + -1 + -11. Let h = 15 + i. Suppose 145 + 55 = 5*u - h*q, -86 = -2*u + 4*q. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)\/c)\/c**27)\/((c**11*c)\/c**(-21)) assuming c is positive.\nAnswer: c**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 13. Let y be -98400*2*(-15)\/z. Round y to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -5, -4, 5 in decreasing order.\nAnswer: 5, 2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8488785 divided by -15\nAnswer: -565919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 - 488*c + 29768 = 0. Calculate c.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/490 and 79\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/8))\/(z*((((z**5\/z)\/z*z)\/z*z)\/z*z)\/z*z)*z*z\/(z\/(z*z**(-2)))*z**(3\/2)\/z)**(3\/2) assuming z is positive.\nAnswer: z**(-93\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 17*f**2 + 6*f + 9. Let j be g(4). Let l = j + -524. Let z = 986 + l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccch when four letters picked without replacement from hccch?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 24*c**2 + 24*c + 45. Let k be m(25). Find the first derivative of -42*v**4 + 43*v**4 - k*v**4 - 98 - 32*v**4 wrt v.\nAnswer: -204*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89461\/3 or 19\/17?\nAnswer: 19\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2594, 21614, 73248, 173804, 339590, 586914, 932084, 1391408?\n\"Answer: 2718*a**3 - a**2 - 3*a - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 859.7676 centuries?\nAnswer: 8597.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626 is divided by 233?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(700) + -1)*-5 + (sqrt(8064) - sqrt(8064)*1 - sqrt(8064) - sqrt(56))\/(-2*sqrt(200)).\nAnswer: -487*sqrt(7)\/10 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 147*r**2. Let p(j) = -250*j. Calculate p(m(s)).\nAnswer: -36750*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(39)\/(sqrt(3) - 3*sqrt(3)) + (sqrt(156)*-1 - sqrt(156))\/sqrt(12) + 0.\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*l + 129*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 - i + 3. Let o(x) = -x**2 - x + 1. Give -l(f) + 3*o(f).\nAnswer: 9*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24917 - -24900. Let p(o) = -32*o**3 + o**2 + 6*o + 6. Let h(x) = -95*x**3 + 3*x**2 + 17*x + 17. Determine f*p(n) + 6*h(n).\nAnswer: -26*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**44\/(u**(-1\/13)*u**10) assuming u is positive.\nAnswer: u**(1015\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 36 = -m. Calculate the least common multiple of 12 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/18*(-5)\/60.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*r - 4, -9 = z - 2*r + 6*r. Let k be 20\/5 - (z - -3). Find the third derivative of 5*h**6 - 3*h**k + h**6 + 0*h**2 wrt h.\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52307515 to the power of 1\/2, to the nearest integer?\nAnswer: 7232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 149*y**2 + 1480*y + 54. What is d(-10)?\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 9*d**2 - 6*d - 3. Let h be k(7). Let v = h - 13. Calculate the greatest common divisor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701864694 minus -15.1459?\nAnswer: 701864709.1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.01, -0.585, -38\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*n - 8*n, p - 2*n - 106 = 0. Calculate the greatest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -5, -4, -2, 43\/8, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 11. Let p be z(12). Let h = -29 - -28.56. Let a = -0.06 + h. Put p, a, 2\/3 in descending order.\nAnswer: 2\/3, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 727 - 359*i**3 - 727 + (4*i + 0*i + i)*(-2*i**2 + 4*i**2 - i**2) + 4*i**3 - 6*i**3 + 6*i**3.\nAnswer: -350*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-15))\/((-32)\/40).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p**3 + 2)*(81*p - 33*p - 15*p).\nAnswer: -33*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8 + 32*w**2 - 11*w**2 - 16*w**2 - 2*w - w**3. Let y(m) = -m**2 + 5*m - 2. Let l be y(3). Let p be x(l). Solve 2*h + 8 - 2 = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 2 - 86 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 745, 2957, 6657, 11857, 18569, 26805, 36577, 47897?\n\"Answer: 2*j**3 + 732*j**2 + 2*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 = -k, 4*k + 6 = 2*d - 0*k. Suppose d*i - 61 = -2*l, -4*i + 2*l + 23 = -3*i. What is the highest common factor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let r(c) = -39430*c**2. Determine t(r(x)).\nAnswer: -1554724900*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*p - 603*p + 104*p - 85315 + 85315.\nAnswer: -1168*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:59 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5229, -1838, -8905, -15972, -23039?\nAnswer: -30106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -50, 3, 0 in ascending order.\nAnswer: -50, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 1 + 1)*(-13*l - 2 + 13*l + 3*l**3) to u + n*l + y*l**3 + w*l**2 + b*l**4 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rwwfwrrwrfffww.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 14*z + 25. Let x be o(11). What is the units digit of (-138)\/x*152\/57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 - 2*w + 3. Determine g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*s**2 - 5165*s - 15630.\nAnswer: 5*(s + 3)*(3*s - 1042)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 30.61418 tonnes?\nAnswer: 30614.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*v + 16013 = 13103 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*w + 28627533 = -23*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*u**3 - 7*u**3 - 12*u**3 - 3 - 4 - 10*u - 8*u**3 in the form i*u**2 + l*u + y + h*u**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 7 (c) -0.4 (d) -1\/3 (e) -5 (f) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - i**3 + 2*i**3)*(-3*i + 3*i - 2*i**2) - 11*i**5 + i**5 - 8*i**5 - 5*i**5 + 3*i**5 + 3*i**5.\nAnswer: -19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787041 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) 13\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -r + 9*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiss when four letters picked without replacement from siseeejioi.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182837439 by -3.\nAnswer: -60945813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (7 - 6 - 7) - (-3 + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75448088 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 4*s**2 + 4*s - 5. Let z be n(-5). Let o = 541\/10934 - 2\/497. Which is greater: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 22 - 2*r - 4*r.\nAnswer: -9*r - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1512064 - -0.089\nAnswer: -1512063.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12*21)\/(5\/((-10)\/1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*t)*(-402 + 748 - 3253 - 813).\nAnswer: 7440*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 2*m**7\/35 - 9*m**3\/2 - 16*m**2. Differentiate z(f) wrt f.\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*u = -4*o + 1, 0 = o + 4*u + 8. Let j(l) = l**2 + l + 4. Let g(m) = -2*m - 9 - 3*m**2 + 0 + m**2. What is o*g(z) - 9*j(z)?\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -9*p + 10. Find the third derivative of 12*k**5 - 6*k**p - k**3 + 8*k**3 - 7*k**3 wrt k.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117313693.\nAnswer: 7, 2394157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + u - 113 = -85, -3*h - 2*u - 10 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3298 + -6.3298. Let g = 8 + -11.9. Put -4, q, g in increasing order.\nAnswer: q, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 1, d: 1, m: 1, c: 1, k: 1}. Give prob of sequence kd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50109 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12) + -6 + 517\/(-33).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 16 - 3*j - 10.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*d + 2*t, -t - 1 - 6 = -2*d. Let c(a) = -33*a - 6. Let v(f) = 22*f + 4. Determine d*c(k) + 7*v(k).\nAnswer: -11*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 16 + 14 = 0. Let p(h) = -h + 12. Let r be p(s). Let a = 7 - r. Solve 4*u + a = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 3, -4, -0.08 in descending order.\nAnswer: 3, -0.08, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81\/8*r + 39\/8*r**3 - 27\/8 + 147\/8*r**2 = 0. Calculate r.\nAnswer: -3, -1, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 23. Let y = p + 18.5. Which is the nearest to -2? (a) y (b) -3 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1189185, 1189195, 1189207, 1189221, 1189237, 1189255, 1189275?\nAnswer: 1189297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -244 in -2, -1, -0.2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chvgppvc. What is prob of picking 2 v and 1 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 4*g**2 + 3*g + 1. Let z be i(-5). Let j = 17 - z. Suppose -j*p + p + 40 = 0. Solve 0 = -3*x + p - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1 + 2) + 3. Let l = j + -2. Suppose l*b = -5*s + 4, 0*b = b - 4*s - 22. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 7) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, 94, 794, 2162, 4420?\nAnswer: 7790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*x - 5, 0 = 5*x + 6*s - 3*s + 25. Let h be x\/(-8) + 3\/4. Let c = h + -1. Let q(o) = -o**3 - o**2 + o - 7. Determine q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaczaccccamacc. Give prob of picking 1 a, 1 c, and 1 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -24\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 54 = -12. Solve s*g - 14 = 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 24*z - 290. Let g = 328 + z. Let x = g + -271. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 10 = -2*b, -c = -2*b - 0*c + 15. Find the third derivative of -15*v**2 + b*v - 5*v + 23*v**3 - 11*v**3 wrt v.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g + 26*g - 39*g - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 305780500 to the nearest 1000000.\nAnswer: 306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*z - 18 - 27, -27 = -z + 2*j. Let c = 29 - z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g - 1. Suppose -223*v = -231*v - 8. Let n(h) = 12*h**3 + 15*h**2 + 15*h + 15. Determine v*n(s) - 15*u(s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let k be (-40)\/30*(-246)\/(-2132). What is the third biggest value in 4, m, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 47. Let x(l) = 4*l + 45. Give -5*r(c) + 6*x(c).\nAnswer: 4*c + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 22?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.9 minus -0.203?\nAnswer: -44.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 134?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/5*24\/(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 367 + -363. Solve -62 = -o*j - 54 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4972.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -355 - -771. Let c = q + -225. List the prime factors of c.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 2*i + 4938233, -4938248 = -3*a - i. Suppose a = 10*u + 20816081. What is u rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -90*j - 17. Let x be t(-8). Let k = -452 + x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:31 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38140 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 1966062*m + 11796371\/6.\nAnswer: (m + 1)*(m + 11796371)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -5, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1619 + -5089. Let z = v + 4951. What are the prime factors of z?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*v - 5*x - 2, 2*v + 5*x = -10. Solve 4*h - 6*k + k = -6, -v*h - 3 = -4*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31783*t**3 - 9689?\nAnswer: 95349*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 32*v - 221. Let i be j(7). Solve 0 = -4*z + i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 7*b**3\/6 + b**2 - 164*b. Give m(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6448\/5 - -1294. Calculate the common denominator of n and (22\/7)\/((-15)\/(-21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130 + 23*d**2 - 6*d**2 - 7*d**2 + d**2 - 9*d**2 to j*d + r + t*d**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 3 - 43 + 0)*(-12 + 12 + 2*h**2) to the form a*h**2 + g*h + k and give a.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 13. What is r(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 49. Let v(t) = -t**3 - 3*t**2 + t + 3. Give v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 7)*-5 - -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463926604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 404550 and 8425?\nAnswer: 136333350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18391 + 25760. Let a = b - 169520\/23. Find the common denominator of -67\/3 and a.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240564634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/10 and -157\/750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 126065?\nAnswer: 1\/25213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 2, a: 1}. What is prob of picking 1 l and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 17*x - 14*x - 17, -4*x = 3*b - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5138569916.\nAnswer: 2, 37, 431, 80557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 38 = 3*p. Let r = -7 + p. Suppose -r = -7*v + 2*v. Solve u - 5*t - 3 = 0, -v*t + 2 = -5*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25114\/8 - (-363)\/132. Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5207.3 + -5202. Which is the second smallest value? (a) 1\/3 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 + 1873*z**3 + 36*z**2 + 1807*z**3 - 25*z**2.\nAnswer: 3680*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7 - -4) + (-3 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/(-14)*(161140\/(-13812))\/((-25)\/7)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32555640 or -32555639?\nAnswer: -32555639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*l + 4, 4*h - 3*l - 268 + 270 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 12 = -3. Let u(j) = -j**3 - j**2 + 2*j + 2. Let y be u(t). Let p be 0 + 1 + y + 3. Solve 4*f = -p + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 11 - 19. Suppose -o*g - 30 = -2*a - 9*g, a - 14 = -g. What is the smallest common multiple of a and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bklk when four letters picked without replacement from bkbukuukgklkb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -40?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 6:34 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 + 146*y - 300. Let v be j(27). Sort -8, 1, -7, v, 3.\nAnswer: -8, -7, v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 130\/(-52)*2*-2. Let j be (-120)\/1000*k\/(-12). Let q be (0\/4)\/(2*-1). Is q at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/200)\/(3\/(-36)). Let h = -14899 + 14901. Is f at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/5 + 2)\/((-237)\/(-15) + -16). Solve -4*m = 2*z - 6, -l*z - 10*m = -14*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 660911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 2686*d**2 + 9*d - 11863. Let m(l) = -l**3 + 1345*l**2 - 4*l + 5932. Let u(z) = -9*m(z) - 4*t(z). Differentiate u(i) with respect to i.\nAnswer: 3*i**2 - 2722*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38503, -154005, -346507, -616009?\n\"Answer: -38500*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -20, -16, -12, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-10))\/((-2)\/(-5)). Suppose 5*l = 5*v - c*v + 17, -18 = 2*v - 5*l. Let y(d) = -2*d**2. Let g be y(v). Are g and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437?\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*m + 904 + 4353 = 0, -2*u = -4*m - 10514. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*x = -207*x - 16 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 123?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*x + 2*o + 2, -5*x - 5*o = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -6 (b) -1 (c) -0.8 (d) -74 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkkk when four letters picked without replacement from {q: 5, h: 1, n: 1, k: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 201122021 (base 3) in base 15?\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 6, x: 2, z: 1, c: 1}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1556 and 0.7561777819.\nAnswer: -1555.2438222181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 0 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6276503 (base 8) to base 10\nAnswer: -1670467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -192344 divided by 1?\nAnswer: -192344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r = -1 - 22 - 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10616?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442 - 837 + 395 + 84*k.\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -136, -0.3, -0.1554, -1.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 637100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpvsmvvymy. What is prob of picking 1 s and 1 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/((b**0\/b)\/b)*b*b*b)*b**(-12)*b assuming b is positive.\nAnswer: b**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let t(j) = -2*j. Let q(a) = 5*p(a) + 6*t(a). Let i(y) = y. Let h(u) = 4*i(u) + 3*q(u). Let g(w) = 6*w. Calculate h(g(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -5, 96, 211, 340?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/(-142)*66\/135*10?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Sort -4, -5, 5, -72, -54, 4, -37.\nAnswer: -72, -54, -37, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 140 = 0. Suppose -3*q = -i + 16. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149345, 299067, 448789?\nAnswer: 598511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-60)\/8)\/(-3 - (-74)\/24). Suppose 6*f - 2*f = -28. What is the common denominator of (f\/(-10))\/((-4)\/b) and -87\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or -0.355?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -18, -51, -108, -195?\n\"Answer: -q**3 - 3*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55645159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h + 25*h + 14*h as l*h + g and give l.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 1. Let m(d) = 3*d + 2. What is 4*m(x) + q(x)?\nAnswer: 4*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-36)*-9*8\/(-6). Sort 144, o, -6.\nAnswer: -6, o, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 630 + 130. Solve -3*u = -143 + p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 6. Let n(m) = 14*m**2 - m + 1. Let a be n(1). Suppose -a = 2*k - k. Let d be ((-7)\/k)\/(3\/(-36)). What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/5)\/(2\/(-20)). What are the prime factors of 8267\/w + 3\/36?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94, 216, 338?\n\"Answer: 122*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45773, -91559, -137345, -183131, -228917?\nAnswer: -274703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9850892 to 2 dps.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = 5*z, z - 19 = -0*z + 5*p. Suppose 0 = -5*c, -z*o + 4*c + 71 = 19. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 249 - 234. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 5 + 0*d**2 + 0*d**2 + 4*d**2 + 4*d. Let z be w(-2). Calculate the smallest common multiple of 9 and (3 - 40\/z)\/(1\/9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261133 is divided by 753.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsosqgogggoossog. Give prob of sequence qoss.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63170.97 nanograms to milligrams.\nAnswer: 0.06317097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k**2 - 21*k**2 + 17*k**2)*(10*k**3 + 15*k**3 - 669 + 668).\nAnswer: 125*k**5 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*d + 137804 = 12*h, 0 = -h + 4*d + 17239. Is 65 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 2, z: 4, s: 2, i: 1}. Give prob of picking 2 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*k = -r - 4, -3*r - 2*k - 14 = 0. Let i = r + 7. Suppose h = b - 2 + 7, -i*h = 3*b + 7. Calculate the highest common divisor of h and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -3573, -25 in increasing order.\nAnswer: -3573, -91, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28960 by 32.\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -2*(1*sqrt(102) + sqrt(102) + sqrt(102)) + (sqrt(102)*-1*-1 - sqrt(102)))\/((sqrt(216) - (sqrt(216) + -1*-5*sqrt(216)) - sqrt(216))*5).\nAnswer: sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/7 + 26*l**4\/7 - 6*l**3 - 170*l**2\/7 - 100*l\/7 = 0.\nAnswer: -1, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 669? (a) -2\/305 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2403 - -4269. Suppose 0*z - 6*z = -w. Let n = z - 190. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 61. Suppose -4*v - v - 275 = m. Let z = 22 - v. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32361 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -939890214 divided by 4311423.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 5) in base 14?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 93789*w + 1117. Is q(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 306 + 538 = 0. Let t = -143 + n. Suppose u - 16 = -0*s - s, -5*s + t = u. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1408 and 39\/22792.\nAnswer: 364672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2344 divided by 586.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156744443 and 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r + 3*r)*(4*r - 108*r + 7*r) - r**2 + 0*r + 0*r.\nAnswer: -680*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(6)\/(sqrt(14)\/(sqrt(28)\/sqrt(4))))**2 + (sqrt(3) - (sqrt(3) + sqrt(192)\/sqrt(4)) - 1*(sqrt(3) - sqrt(3)*3 - sqrt(3)))**2)*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16823874 by 2.\nAnswer: -8411937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -485 + 1335. Let f = g - 849.6. Let o = -13 + 87\/7. Which is the second smallest value? (a) -0.4 (b) o (c) f (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -452.8 * 2863.\nAnswer: -1296366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 23*c. Suppose -4*u - 3*z - z + 164 = c, 0 = -u - 2*z + 43. Calculate the highest common factor of 91 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873*b + 169*b + 181*b + 171*b + 177*b + 174*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**3 - 21*r + 18 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11651\/12 + -969. Let b = -669957311\/18 - -37190426. Let i = -29417 - b. What is the common denominator of i and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + (-7 - -15 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 2*l**6\/15 + 11*l**5\/15 - 2*l**4\/3 - 88*l**3\/9 - 16*l**2 + 1419*l - 3. Find n, given that u(n) = 0.\nAnswer: -3, -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -443 + 443. Solve l = 8*o - 13*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - d = 72965 - 73175, 3*d + 35 = -2*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 24 = 11*v. Suppose 2*d - v = 10. Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Suppose -o = -n + 9. Suppose 5*t = 60 + n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 3*z - 2*z)*((36 - 25 - 21)*(-2 - 1 + 5) - 2 + 5 - 2) as b + d*z and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c)*(2 + 5982*c + 8790*c - 2 + 852*c + 694*c).\nAnswer: -16318*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 13. Let q(h) = 3*h + 14. Determine -4*n(b) - 3*q(b).\nAnswer: -b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/7040 and -121\/22740.\nAnswer: 8004480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - -4) - (5 + -8 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h - 2*v = -1, 0 = 2*h + 5*v - 12. Let z be (h - -1)\/((-10)\/(-75)). Solve -2*o + 3*i - 15 = -6*o, 4*o - 3*i = -z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192 - 1\/3*i**2 - 16*i.\nAnswer: -(i + 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-13 - ((-5 - (-6 + 4)) + 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/r**(-1\/14))\/r)\/r)\/r*r**(2\/49))\/(r*r**(-16\/7)*r**(3\/5)) assuming r is positive.\nAnswer: r**(-99\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-30))\/((-9)\/225).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -148*h**2*k + 202*h*k*p - 2*h*p*t**3 - 23733*k*p*t**3 - 5*p*t**3 + 5*p*t**2 wrt h.\nAnswer: -296*h*k + 202*k*p - 2*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*a + 3640008 = -4*n, -3*a + 5459994 = 3*n. Round a to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/5, 0.1, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96256 is divided by 78?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Let i = l + 4. Let c = i - -1. Sort c, -3\/5, -4 in descending order.\nAnswer: c, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3028*a**5 + 128*a**2 + 11*a - 1?\nAnswer: 181680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -302, -1225, -2770, -4937, -7726, -11137, -15170?\n\"Answer: -311*q**2 + 10*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) + (sqrt(2112) + sqrt(2112)*-4)*2 - sqrt(2112))*4)\/((sqrt(110) + -4*(sqrt(110) + 1*sqrt(110)))\/((sqrt(10) - -1*sqrt(10) - sqrt(10))*-4)).\nAnswer: -768*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*h + 61 = 0, 1448*h = 5*p + 1446*h - 190 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -3)\/(-2) + 2. Solve 3*v + 4*s = -32, 4*s + 29 = -w*v + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*c - 0*c - 76, 4*m = 29*c - 654 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*r + 67. Suppose -54*g + r = -58*g. Put -0.1, g, 1, 2 in increasing order.\nAnswer: g, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9668.\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) -5\/244 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:18 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 398*k**2 - 47*k + 7 - 11 + 1623*k**2.\nAnswer: 1225*k**2 - 47*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165641 by 7.\nAnswer: -23663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 1. Let r(t) = -1 - 3 + 2 + 0*t + 2*t. Let p(j) = -3*r(j) + 4*w(j). Differentiate p(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = -199452 + 199946 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138601.8 milligrams in micrograms?\nAnswer: 138601800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asupe. Give prob of picking 1 a and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 4*j - 41, -4*j - 63 = -5*z. Calculate the remainder when z is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1189507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7184*m**2 + 5303*m - 2 wrt m.\nAnswer: 14368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12048 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/10398115 and -49\/1485445.\nAnswer: 10398115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3 - 1304*d**2 = 0. Calculate d.\nAnswer: -652, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 1\/7, -4, -5, 5.\nAnswer: -5, -4, 1\/17, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 130 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w + 5. Let z = 5 - w. Let h be (-72)\/(-45) + (0 - (-4)\/10). Solve h*b = -2 - z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5379 + -3619. What is the greatest common factor of g and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 6*a - 152. Give d(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.7 + 73. Let n = 8.4 + r. Let y = 2.3 - n. Sort y, -4, 0.1, -3\/2.\nAnswer: -4, -3\/2, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Let j(h) = 3*h**3 + h**2 - 2*h + 1. Let w be j(v). What is the third derivative of -2*s**2 + s**2 + 2*s**6 - w*s**6 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 + 4*q**5\/15 - 5*q**3\/2 + 5*q**2 + 2. Suppose -5*l + 66*h - 71*h = 80, -5*l + 5*h = 80. Determine v(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 49. Let h = 88 + u. Let r = -45 + 64. What is the remainder when h is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49)\/(-28) + (-2)\/(-8). Suppose 11 = 3*r + c. Solve 3*g - 25 = -2*i, r*g = -i - 0*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*m - 45*m + 101*m - 116*m**3 wrt m.\nAnswer: -696*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 - 3*m - 2. Let x be g(5). Let y be 242\/x*((-5)\/(-2) + -1). What is the greatest common divisor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95923?\nAnswer: 95923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 11*j**2 - j + 10. Determine x(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 1\/3*w**3 + 3\/2*w**2 + 15 - 7*w. Let i = -12 + 7. Calculate j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/665 (b) -17 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-274)\/(-411))\/(((-68)\/6)\/(-2)). What is the closest to 1 in 0.1, -5, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(77) - sqrt(77)) + -3*(-3*sqrt(77) - sqrt(77)))\/(sqrt(7) + sqrt(1008)*-2 + ((sqrt(84) - (sqrt(84) + 2*sqrt(84)))\/sqrt(12) - sqrt(7))).\nAnswer: -18*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t + 6 = 0. Let i = -10 - -8. Let k = 0 + i. Put t, k, -5 in descending order.\nAnswer: t, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**5\/3 + 1960*z**4 - 570315*z**3 - 3492810*z**2 = 0. What is z?\nAnswer: -6, 0, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 70 = -q, 3*i + 241*q - 243*q - 35 = 0. Sort i, -31, -1.\nAnswer: -31, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-24))\/((-2)\/(-124))*-3. Suppose s = -z + 36. Solve z*m + 2*g + 11 = 0, 0*m - 13 = 5*m + g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - 127. Let l be o\/(-10) - (-336)\/40. Solve -9*b + 5*b + l = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1703449 and 0.05?\nAnswer: 85172.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - -0.09. Let q = -0.02 + o. Let c be (1\/(-3))\/(11\/6). What is the closest to 1 in c, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9*s + 49059 = -8*s, -29413 = -3*h + 5*s. Suppose -4*c = -5*i - h, 4*c + 5*i - 505 = 9276. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33071262 to the nearest integer?\nAnswer: 5751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -1\/24*o**4 + 0*o - 1\/2*o**3 - 3*o**2 + 0. Let x be q(-6). Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 14*h + 1 + 4*h - 2*h - 2. Suppose 42 = -4*a + 5*b, 0 = -4*a + 6*b - 2*b - 40. List the prime factors of y(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 2*v**2 + 2*v**2)*(0 - 3 + 1) + v - v - 2*v**2 + (2 + 2 - 3)*(0*v + 0*v - v**2).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 69*i**2 - 2*i - 1. Let j(m) = m + 1. Let p(w) = -27. Let a(t) = 2*j(t) - p(t). Let l be a(-15). List the prime factors of c(l).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.351949ug in kilograms?\nAnswer: 0.000000005351949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -81 + -14?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109760 by 27440.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/27675 and 17\/49743.\nAnswer: 152959725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1, -14, 1\/2, 141, 7?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 0 + 0 + (10*x + 9*x - 8*x)*(-2*x**3 + 8*x**3 + 0*x**3).\nAnswer: 63*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 147.6. Let d = 0.01 + 0.03. Let j = d - -0.06. Sort -0.2, w, j.\nAnswer: w, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16113\/12 + -1)\/((-2)\/40). Is i\/(-35) + (-4)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnz when three letters picked without replacement from nnknzzdonhndh.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 15, -14, 5, 1 in increasing order.\nAnswer: -14, 1, 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 471 + -471. What is the remainder when s + -5 + 11 + 31 is divided by (-34)\/(-9) + (-2)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22809 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 10 = -3*m. Solve -12 = 4*w + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 374.049l?\nAnswer: 374049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -5, -21\/22, 80 in ascending order.\nAnswer: -5, -21\/22, -0.5, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*t + 3*f, f + 13 = -t + 3*f. Let x = t - -8. Solve 0*z = -x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s*w*x**3 + 833*s*x**3 - 2*s*x**2 + 18*w*x**2 + x wrt x?\nAnswer: 18*s*w + 4998*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 686*o**2 + 580*o - 13. Is x(-44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/20 - (-3 + 26\/8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + -5 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*m + 32*m + 208*m - 5 + 6 + 159*m as d*m + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/9)\/((-2)\/3). Let z be (-3)\/(9\/6)*b. What is the second derivative of -7 + d - z*d**3 + 7 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 2388*p + 6*p**2 + 1 - 5*p**3 + 12*p**2 + 2389*p as y*p**3 + a + i*p**4 + n*p**2 + o*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/9 and 595\/1170 + (4 - 2)\/(-12).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3062, 6117, 9172, 12227, 15282?\n\"Answer: 3055*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3589779503?\nAnswer: 211, 409, 41597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 5*h - 16, 5*h - 4*r - 32 = 6 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 20589*x - 555896. What is g(27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 - 1.74. Let l = -2 + 2.1. Put h, 4, l in descending order.\nAnswer: 4, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 149*z**2 + 58*z**2 - 5 + 38*z**2 + 15*z + 1.\nAnswer: -34*z**2 + 15*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/98861 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 8. Suppose -a + 25 = -i - i, -41 = 3*i - 5*a. Is 19 a factor of k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f**2 - 346*f + 860. Determine l(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:53 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14534001 - 3?\nAnswer: 14533554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 64 = -100 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 4*c - 2. Let f be y(5). Suppose 0*g = -f*g + 15. Let u be ((-16)\/12)\/((-4)\/18). Solve -37 = 4*n + 5*s, 5*n + u = -g*s - 34 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2245234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5336 = 13*a - 5*a. Suppose -5*n + 821 = -3*j, 0*n - j + a = 4*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, d: 1, t: 2, p: 2, x: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 14*t**2 - 9*t + 37. Let l(v) = -v**3 + 7*v**2 + 5*v - 18. Let d(j) = 13*l(j) + 6*n(j). What is the units digit of d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 36*r - 5*r - 11*r**3 + 38*r as z*r**3 + m*r + o*r**2 + j and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 v, and 1 g when three letters picked without replacement from {d: 1, k: 1, z: 1, g: 4, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 8*q**2 - 2*q + 38. Calculate the remainder when 3 is divided by y(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = -5*r - j + 1042, 3*j = -5*r + 1385. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 4. Let y be c(7). Suppose -y*u = -4*a + 19, 2*u + 11 = -4*a - u. What is the units digit of ((-18)\/(-2) - -2) + a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-1) + -4 + -2 + -2)**2 + 1*(sqrt(931) + (3*sqrt(931))**2) + -2 + sqrt(931) + -2.\nAnswer: -50*sqrt(19) + 8743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 34*g**2 - 14. Let a(r) = 83*r**2. Calculate b(a(y)).\nAnswer: 234226*y**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(33)\/(sqrt(3) - -1*sqrt(3)) + 2).\nAnswer: 5*sqrt(11)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let g be 0\/(-1) + -2 + -7. Let r = g - -10. Which is smaller: r or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2*u - 2*u + (-2*u + u - u)*(-5*u - u + 4*u) + 6*u - 6*u + 3*u**2 - 10*u**2 - u**2 - 5*u**2)*(-u - 2*u + 2*u)*(u - 6*u + 3*u)*(-2 - 1 + 0).\nAnswer: 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.248 times 14.79\nAnswer: -18.45792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.64827093 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -1 (b) 1.3 (c) -270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 73. Let z be 30\/(-6)*(-8)\/(-5). Let n(y) = -27*y + 1. Let t be n(z). What is the greatest common divisor of t and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 6:40 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = 0, 13*n + i = 16*n + 9. Let m(q) = -q**2 - 3*q + 2. Give m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -13.77 (b) -4\/7 (c) -5\/6 (d) -24\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005493 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (7 - 16) - (-5 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2399 + 4069. List the prime factors of f.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022399337 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: Which is the second biggest value? (a) 10\/1131 (b) 0 (c) -7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -4 + (-10)\/14. Sort 3, r, -4, -0.1 in ascending order.\nAnswer: -4, -0.1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44063610?\nAnswer: 2, 3, 5, 281, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -472?\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -28823 (base 10) to base 5\nAnswer: -1410243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(36\/96*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 3360240713.278?\nAnswer: 3360240712.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 + 436*y**2 - 9*y - 8. Let n(a) = -6*a**3 + 873*a**2 - 15*a - 14. Calculate 5*d(x) - 3*n(x).\nAnswer: -2*x**3 - 439*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) 2\/11 (c) -255\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - 13*p**2 + 11*p - 76. Calculate u(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 303 + 1731. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -71. Suppose -d*n = -5*i + 32, -2*n + n - 2*i - 25 = 0. Let a be 1*((-66)\/n + -1). Do a and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h + 5. Let n be v(8). Let t be (-55)\/n - 4\/(-18). Let d(k) = k**2 - 13*k + 37. Let c be d(5). Sort 4, t, c.\nAnswer: c, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521 = 7355716*h - 7355599*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -62 + 6 + (14 - (5 - (16 - 17)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, -4, -1, 0, 9, 3, 116 in decreasing order.\nAnswer: 116, 9, 3, 0, -1, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = -12. Let w(o) = 8*o + o**2 - 16*o + 11*o - 5. What is w(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 128*n**2 + n + 11064. What is the ten thousands digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 0 - (-12 - -6 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppeppppppppeep. Give prob of sequence peep.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89202.17l to millilitres.\nAnswer: 89202170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -x + 47, -25*x - 185 = -4*y - 30*x. Solve 5*d = 5*b + y, -3*b + 5 = 119*d - 115*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102202112 - -10330211?\nAnswer: -31211301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -2*o - 2*o. Let p(n) = 6*n + 10. Let m be p(-3). What is the common denominator of 125\/18 and (153\/m)\/(o\/32)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 - 2*i**3)*(-4*i**2 - i**2 + 3*i**2) + 0*i**5 - 2*i**5 + i**5 - 4*i**2 + 3*i**5 + 4*i**2 + 0*i**5 + 0*i**5 - i**5.\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6656 = 3032*a - 3016*a. Which is smaller: a or -419?\nAnswer: -419","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 923983.9 centimeters?\nAnswer: 9239839000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 349\nAnswer: 6.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -384, -0.1, 31, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + (-16 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -25, -4*f + n = -2178 + 333. What is the remainder when 1389 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584677731?\nAnswer: 7, 13, 211, 82531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 735 and (-13 + 42 + -19)*9?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 0. Let g be (423\/18 - 19)*4\/6. Suppose g*f = i*f - 44. Solve 5*m + 6 = f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2121, -2128, -2135, -2142, -2149?\nAnswer: -2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**3 - 2*k + 3. Let j(b) = -3*b**3 + b - 1. Let d(o) = 5*j(o) + 2*y(o). Is 2 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -561*r**2 + 1608723*r - 11 - 1608723*r as q*r + z + o*r**2 and give o.\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**3 + 24*g**2 + 35*g + 16. Calculate c(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*r + 10*r = 0, 0 = 5*w - 4*r. Solve -7*q - 28 = -w*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/2, 2.7, 4\/7.\nAnswer: -3\/2, 0.4, 4\/7, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2\/15, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/(-88)*-1). Let m be -1 + (81\/3)\/3. What is the greatest common divisor of t and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:36 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7 + 3, -4*a = -4*w - 240. Suppose 2*t + 6 - 184 = 0. Let o = w + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60569188 is divided by 30284592.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1\/2*y**2 + 0 - 7*y = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/6*(-717685)\/(-50). Let p = 11968 + y. Let g = -8560369\/90 - -95117. What is the common denominator of g and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -6. Let p = 7 - j. Let t be 1*-2 - (p + 5). Solve -2*a + 0*a = t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330486\/429 + 4\/(-11) is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 3.6. Is m bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.02 + -12.974. Let c = y - 0.046. Is c > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 10160220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 615062 and 2196650?\nAnswer: 15376550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/17 (b) 3\/10444 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:27 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = -3*m. Let h be (-6)\/4*380\/(-285). Solve 2*v + h*v = m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14166044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 45 = 5*k, 2*k - 8*k = -j + 5. Let r(i) = -i**2 + 14*i + 12. Let v be r(11). Put -1, k, v in decreasing order.\nAnswer: v, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111001011011100 - 110?\nAnswer: -10100111001011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 52. Let p(x) = x - 12. Calculate the least common multiple of j and p(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762160349?\nAnswer: 307, 2482607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**6 + 8*o**2 - 5*o**6 + 7*o**2 + o**2 wrt o.\nAnswer: -1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.307 + 0.31. Let w = p + -0.403. What is the fourth smallest value in -1\/2, -5, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (15 - (6 + -9 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33.1, -1\/5, 1 in descending order.\nAnswer: 1, -1\/5, -33.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*y + 21 = 0, 9*r - 11*r + y - 21 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2 + 104*h + 570 = 0.\nAnswer: -5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1887.35088 - -2058.350883. Let i = -171 + l. What is i rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 125*t**3 - 8*t**2 + 10*t - 8. Does 70 divide n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2466, 4951, 7456, 9987, 12550, 15151, 17796, 20491?\nAnswer: 23242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtkrtrkrt. Give prob of sequence rrk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/240 - y**4\/32 + 3*y**2. Factor s(b).\nAnswer: -b*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*j + 11 = 0, 36*j - 34*j = 4*s - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -2\/21, -10, 3\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -733*n**2 - 8 - n + 735*n**2 - 8 - 8*n to u + w*n + t*n**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 907751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 324, 293, 250?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + b - b)*(1 + 3 - 3) - 4 + 4 - 8*b + 23*b + 14*b - 10*b + (b + 0*b + 0*b)*(0 + 3 - 1) to a*b + f and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 738*p**2 + p**3 + 45*p**3 + 738*p**2.\nAnswer: 46*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 69381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - 7 - (-3 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - 30\/(-8). Let f(o) = -o + 12. Let p(m) = 2*m**2 - 21*m. Let b be p(11). Let c(n) = -2*n + 22. Let w(j) = b*f(j) - 6*c(j). Calculate w(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 7*m**2 - 7*m. Give q(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4809 = -362*i + 366*i, -5*b = i - 1254. What is the lowest common multiple of i and 2821?\nAnswer: 8463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*m - m - 25*m = 134*m + 14300 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y - 400 = -101*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -501 - -11521\/23. Suppose -s - r - 242 = -3*s, 2*s = 5*r + 234. Let x = -491\/4 + s. Which is the third smallest value? (a) x (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.59 and -1.\nAnswer: 11.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 234158149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + (-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -62*w**3 + 7*w**2 - 83*w - 164. Calculate z(-2).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684, -1375, -2080, -2805, -3556, -4339?\nAnswer: -5160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 4*y - 2332, 5*y + 2*d - 2929 = 0. Calculate the remainder when y is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 174041 = 192*w - 191*w, 2*w = 3*q + 348062. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*r**3 - 295*r**3 - 306*r**3 - 295*r**3 + 1138*r**3.\nAnswer: -61*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17055205199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:58 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 612\/11781*-1*14\/20. Put 1, u, 0.3, -2\/17 in ascending order.\nAnswer: -2\/17, u, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/738323 + 36916153\/2214969. Factor b - 2\/3*i**2 + 0*i.\nAnswer: -2*(i - 5)*(i + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 + -1.6. Let o = -2172958 + 2172952.000021. Let a = r - o. Round a to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 366. Suppose 148 = 7*r - 2*r + 2*d, 0 = -r - 5*d + 25. Suppose 5*c - j = -r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3344)\/1848)\/((-231)\/14553)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481520 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 953*x - 40 + 24.\nAnswer: -953*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2815 + 2820. Let f = -618 + 613.73. Let p = f + h. What is p rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-386)\/(-33))\/(5\/30) + ((-68160)\/(-2640))\/(-142).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*q + 34 = 0, 0*q - 4*q = j - 37. Suppose x + 0*x - j = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -404, -416, -440, -482, -548, -644?\n\"Answer: -s**3 - 5*s - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(2 + 80\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Suppose 0 = -4*u + 3*o + 142, 7*u - 3*u - 4*o = 144. Calculate the remainder when u is divided by 1\/1 - (-11)\/g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19124168981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.5 + -8.5078. What is y rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:05 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423205 (base 8) in base 6?\nAnswer: -22131421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 4*q**3\/3 - 2573*q. Let j(w) = -3*w + 3*w + 4*w. Determine a(j(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - 390. Let m = 482.0000028 + v. Round m to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150 - -144. Let k(v) = v**3 + 7*v**2 + 8*v + 3. Determine k(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -c + 20, -5*s = 5*c - 2*s - 15. What is the closest to c in -4\/7, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242960\/9 or 26996?\nAnswer: 242960\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a**2 - 57*a - 9. What is the hundreds digit of t(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63497090807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from ooix?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -352197*g**3 + 7*g**2 - 28585.\nAnswer: -2113182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**9\/1512 + f**6\/60 + f**3\/6 + 5*f**2. Let o(l) be the first derivative of n(l). Find the third derivative of o(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - j**2 - 2*j + 6. Let t be r(-3). Let c be 37\/296 + (-109)\/t. Is c >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 261*s + 394. What is u(-64)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-42) + 4 - 0.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 - 374.3. Round q to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2211 - 1?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + 29. What are the prime factors of l?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-18)*1740\/8932*(-1)\/(-5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1192*f + 1218*f - 286 = 0. Solve -f = -14*l + 73 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n. Let s(q) = 608*q**2. Give y(s(i)).\nAnswer: -7296*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113310 - -2303023?\nAnswer: 2123113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + (sqrt(102)*-2 - sqrt(102))*-5 - sqrt(102)) + 1*(sqrt(102)*2 + sqrt(102)))\/(sqrt(66)\/(sqrt(66)\/(sqrt(6)*-1))))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 64*w + 69217 - 67975 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 h, and 1 v when four letters picked without replacement from iihhivvhhi?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10*-200579\nAnswer: -2005790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 95? (a) -0.4 (b) 0.06 (c) 2\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 9*p - 6. Suppose 19 - 51 = 4*g. List the prime factors of r(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p**(2\/7)*p)\/p)\/p*p))**(-41)*(p**(2\/3)\/p)**(3\/35)*((p*p**2)**(-44))**(-40) assuming p is positive.\nAnswer: p**(183774\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -41*a - 532. Let l be m(-13). Is 1\/177 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14599, -58127, -130599, -232015, -362375, -521679, -709927?\nAnswer: -927119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4595533 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 7*d + 7. Let l(r) = -2*r**2 - 5*r + 5. Let h(i) = -7*l(i) + 5*w(i). Let v be h(0). What is the units digit of -2 - v - (2 - 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 + 6*c**2 + 2*c + 2. Let p(v) = -6*v**3 + 5*v**2 + 3*v + 3. Let o(h) = 2*p(h) - 3*q(h). Find the third derivative of o(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2. Let j = 5 + -2. Let u = j - 1. Let w(y) = -2*y - u*y + 3*y. Give a(w(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3398, -3958, -4892, -6200, -7882, -9938, -12368?\nAnswer: -15172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g + 1)*(2*g - 3*g + 0*g) + 56*g**2 - 25*g**2 - 10*g - 29*g**2.\nAnswer: 4*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -3 + sqrt(80) + -1 + sqrt(80) + -2)**2 + -3*((sqrt(180) - (0 + sqrt(180))) + sqrt(180) + sqrt(180))**2 + -2.\nAnswer: -1406 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 198, 503, 956, 1569, 2354?\nAnswer: 3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 6\/5 (c) -48 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - q = -312, -2*q + 1 = -5. Suppose -3*d + p + 9 = -2*k, 3*k = 3*d - 108. Suppose 3*y = 14 + d. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*m**2 + 415*m**2 - 1232*m**2 - 1 + 411*m**2 + 1.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6727, -13453, -20179, -26905, -33631?\n\"Answer: -6726*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617092651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 60 = 70*j. Let a(v) = v**3 - v**2 + v + 1. Let p(r) = 3*r**3 - 5*r**2 + 6*r + 3. Give j*p(f) - 6*a(f).\nAnswer: -3*f**3 + f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46*(-3)\/(-8)*(-348)\/(-261)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16002 + -15986. Let s be -1*1 - (-3)\/1. Solve -s*b = 2*b - c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 9 = -23. Let b(q) be the third derivative of -1\/6*q**3 + 0*q + 0 - 1\/120*q**6 - 1\/60*q**5 + 1\/8*q**4 - j*q**2. Give b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208.44 + 211. Let h = u + -19.56. Which is bigger: 7\/3 or h?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 756380 and 2564.\nAnswer: 756380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1\/40, 1 in descending order.\nAnswer: 1, 2\/7, 1\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 37, 35, 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.03 + -2.03. Which is the second biggest value? (a) p (b) 3 (c) -7\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2430190 and -47\/700.\nAnswer: 24301900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 6, 4, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2225, -11631, -37155, -86855, -168789, -291015?\nAnswer: -461591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, j: 2, s: 8, n: 3}. Give prob of picking 2 n, 1 v, and 1 s.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23546 + -5683\nAnswer: -29229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/13))\/(g**(-2\/9)*g)*(g*g\/(g**(4\/3)*g))\/(g**(4\/9)*g))\/((g**(2\/17)*g\/g**(-1\/5))\/(((g*g**(-1\/6))\/g)\/g*g**(-5\/2))) assuming g is positive.\nAnswer: g**(-66569\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/11 (b) -2\/3 (c) 256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 11. Let i be g(-5). Let o be (0 - 2) + (-2)\/i. Differentiate 4 + 4 + 2*b + o - 4 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11707340 (base 8) in base 12?\nAnswer: -a50340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(39)\/sqrt(3) + sqrt(13)) + (sqrt(39)\/sqrt(3) + -2)*6)**2.\nAnswer: 360*sqrt(13) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgs when three letters picked without replacement from sseseglcgeescc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -17547 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 7, -1 in decreasing order.\nAnswer: 26, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*u - 626*u - 638*u + 1855*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*6)\/(-3) + -7. Let t = 0.41 - 0.5. Let y = t - -0.59. Which is the closest to 11? (a) n (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/9 + 1864*b**2\/9 + 4*b\/9 - 1864\/9.\nAnswer: -4*(b - 466)*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 10*y - 5. What is o(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 93120914?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - y)*(2 - 1 + 0) + (-6 + 6 - 4*y)*(0 - 24 - 2))*(-2*y + 2*y - y**2) to k + b*y**3 + s*y + c*y**2 and give b.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146608 (base 9) to base 11.\nAnswer: -61815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 18*v**2 + 20*v - 16. Let f be h(14). What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 4, 16, 2, -432 in ascending order.\nAnswer: -432, -5, 2, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 540110.7ug?\nAnswer: 540110700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 + 191. Calculate the greatest common divisor of 70 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -784\/3 - -257. Let g = -1557\/14 + 223\/2. Put q, 1, g in ascending order.\nAnswer: q, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + -65. Let z = x - -89. Solve -z*u - 20 = 4*y, -6*u = -2*u + 4*y + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000092245 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*r - 1529 - 2055. Solve -r*b + 61*b = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.9897 + -0.0103. What is the fourth smallest value in -5, p, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -46. What is the remainder when 2 + -1 + 3*14 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16293*0.2.\nAnswer: -3258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (85100\/69)\/(2\/9). What is the third derivative of -11*u**2 + y*u**3 + 22*u**4 - u - 5550*u**3 wrt u?\nAnswer: 528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 31. Suppose 3*s + 103 = -5*g, -4*g + 3*g + 5*s = 15. What is the least common multiple of 6 and i(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + m = -11, 10*k - 3*m = -51 - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-7 + (6 - (6 + (-5 - 5)))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -78 - 67 - -62?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4146 is divided by 271?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124 * -1.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5325 and 3525.\nAnswer: 250275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2 - 15*d + 54. Let u(z) = 6*z**2 - 14*z + 54. Let m(p) = -5*r(p) + 4*u(p). Let l be m(15). Solve -l = v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 8*g + 6*g - g**2 - 2 + (2 + 0 + 1 + (-6 + 1 + 2)*(0 - 5 - 5))*(2*g - g**2 - 2*g) to the form b*g + y + j*g**2 and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 - 2*k - 5. Let u be v(5). Suppose -2 = -s + u. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 19530.\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:20 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:44 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44a + 8a6?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.1 - 14. Let j = -665.1739998 - -665.074. Let c = u + j. Round c to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -127. Suppose 0 = k*s - 32*s + 28. Solve 3*w = 1 - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2. Let i(w) = -169984*w + 4. What is i(x(q))?\nAnswer: -339968*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -431*o**2 + 10751*o + 605. What is g(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21708647.\nAnswer: 79, 283, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 9. Let a be c(-5). What is the biggest value in 2\/7, -0.4, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36333 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 29238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/21, 2, 27.55.\nAnswer: -2\/21, 2, 3, 27.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*p + 327 = 0, -4*m = -103*p + 107*p - 432. What is the remainder when 42\/m + (-2816)\/(-10) is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -193, -291, -389, -487, -585?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a kilometer in meters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -35*q + 3978. Let c = q - -620. Is 67 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*(108\/(-6))\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 + 8*t + 1. Let u(j) = j**3 + 3*j**2 - 4*j - 1. Give -5*u(o) - 3*x(o).\nAnswer: -2*o**3 - 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -601101 (base 7) to base 12.\nAnswer: -4a703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3379204 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 84 = -459. Let r = j + 79. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let w be -2*(40\/(-16) - 1*-3). Sort 5, f, w in ascending order.\nAnswer: w, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 21 = -7. Is (-2807)\/(-7) - 0\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85.32341*56.\nAnswer: -4778.11096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyg when three letters picked without replacement from {i: 1, g: 2, q: 2, t: 2, y: 4, e: 3}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13712715 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 160*k - 157*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 + 10*k + 17. Let r be f(6). Put 10, r, 4 in descending order.\nAnswer: 10, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j - 28 = 4*r, j + 8 = r. What is the common denominator of (-4)\/36*909\/j and -71\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1578709, -3157418, -4736127, -6314836?\n\"Answer: -1578709*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60491 and 1255.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170320229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(6)*2)\/sqrt(2) - sqrt(3))*6 + (sqrt(108)*-2)**2 + (-1*sqrt(108))**2.\nAnswer: 12*sqrt(3) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/5 - 245029256*x\/5 - 3752458518494596\/5.\nAnswer: -4*(x + 30628657)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 69.9. Let o = -253021.653 - -253018.75299938. Let n = l + o. Round n to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1725.7 + 1653. Let y = q + 73. Let x = -0.2 + 0.1. Sort y, x, -3 in decreasing order.\nAnswer: y, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -210?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2413*w - 270*w - 141*w - 62062 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + (-2 - -1)\/1. Let g be 8\/6*(-2 + -1). Let k = g + x. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = r - 29, -4*r - 63 = -2*z - 11. Let k = z - 139\/5. Factor 0*m + 2\/5*m**2 - k*m**3 + 0.\nAnswer: -m**2*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose j*h - h = 0. Suppose d + d - 18 = h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (8 - 4 - (61 + -63))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*f - 6, 3553*f - 3554*f = -5*l + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1462 and 3935330.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15296 divided by -6?\nAnswer: 7648\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -4 (c) 0.05 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 614711\/68 - 9040. Sort 5, 0, -4, j.\nAnswer: -4, j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/8)\/((-1)\/(-16)). Suppose w - 9 = -j. Solve 6*d - 19 = z + 2*d, 0 = -d + j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 802, 1143, 1474, 1789, 2082, 2347, 2578, 2769?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1825\/(-73))\/((-133)\/(-532))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5 + 2 + 2*x + 4. Suppose 2*o = -0 + 2. Suppose 4*y + 15 = 3*r + o, 0 = 4*r - 2*y - 12. What is s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3799618999 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*x + 15, 5*d - 8657*x + 8661*x + 53 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52861985 divided by 3905.\nAnswer: -13537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40754202 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -337 - -19?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3*w - 2*n**2*w - 9100*n*w - 722*w - 15 wrt n?\nAnswer: -3*n**2*w - 4*n*w - 9100*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2 - 3600*o + 358416 = 0.\nAnswer: 114, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 12, x: 1, w: 1, u: 3}. What is prob of picking 1 x and 1 w?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/7 + 192*i\/7 - 800\/7 = 0.\nAnswer: -100, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5 + 102*h**4 - 1080*h**3 + 3750*h**2 - 1797*h - 6732 = 0. Calculate h.\nAnswer: -1, 3, 4, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/30 + 2*k**2 - 3. Let w(n) = 4*n**2. What is w(p(z))?\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-7 + (36 - 5 - (-5 + 17))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110101101 (base 2) to base 6.\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2694 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192191 is divided by 596074?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3.1, 1.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-39)\/(-18)*10010\/(-5915).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7512, 15009, 22518, 30045, 37596, 45177, 52794, 60453?\nAnswer: 68160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.947 - 0.053. Let n = 17 - 10. Let z = n + v. Is 2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2946*x**2 - 16*x - 17. Let u be m(-1). Suppose -9295 - u = -16*i. Is 70 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15144135 to the nearest integer?\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33183, 32680, 32177, 31674, 31171?\n\"Answer: -503*y + 33686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 131, 207, 289?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 73 - 202. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 11174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = -2*p. Suppose 92 = 3*a + 2*s, 38 + 79 = 3*a - p*s. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 3, w: 1, u: 2}. What is prob of picking 1 u, 1 z, 1 w, and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 4. Suppose 5*x + m = 0, -x - x + 16 = 4*b. Suppose -q + b*d - 1262 = -3*q, 4*q - 5*d = 2584. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 17*a - 43. Let m be p(-11). Suppose k + 3*l + 3 = 0, -l = -5*k + 29 - m. Solve -k*i = -8*i + 3*z - 37, 4*i + 5*z = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2)\/o*o**(-3)*o**3\/o*o*o\/(o\/((o\/o**(-9)*o)\/o)))\/(o**(5\/2)*o*o**(-1\/3)*o*o)**(3\/2) assuming o is positive.\nAnswer: o**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13*(-1 + 0\/1). Let a = 15 - n. Solve a*f = 4, -l = -0*f + 2*f - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 19*x**2 - 4*x**2 + 31*x**2 - 6. Is r(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.8. Let i = -8 - -7. Which is the biggest value? (a) n (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/35 - (-85)\/(-70).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 1 x when three letters picked without replacement from {t: 6, w: 4, p: 4, x: 3}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 3 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 - -16 - 0\/2. Let q(v) = v**3 - 2*v**2 - 11*v - 4. Let j be q(b). Suppose -j = 3*h - 7*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.53 - -0.02. Let i = v + -0.639. Round i to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3680109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 16*x. Suppose 4*q - 3*w - 66 - 12 = x, 3*w = 6. What is the smallest common multiple of 24 and q?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*d - 184*d + 115. Solve d = -n + 5*l - l, 3*l = n + 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968929869.\nAnswer: 3, 281, 383, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -14. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -70, 0.\nAnswer: -70, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 66 = 0. Suppose -y = 4*r - 12, -2*y = -0*y - 3*r - 57. Calculate the smallest common multiple of y and o.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-23 + 26 - 9) + 47\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 1131.\nAnswer: -12441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1205 or -1207?\nAnswer: -1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1244 = 11*y + 1200. Let b(r) = 9*r - 2. Let k(d) = -d - 1. Give y*k(x) + b(x).\nAnswer: 5*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovnovonooonnvovo. Give prob of picking 3 o.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - -41?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/60 + x**4\/3 + 3*x**3\/2 - 12*x**2 + 50. Let j(c) be the second derivative of q(c). Factor j(l).\nAnswer: -(l - 9)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 2*f - 5. What is c(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18852257543 + -317019562946945\/16816. Let v = 21255292\/11561 - 20224\/11. Let q = v + d. Calculate the common denominator of 13\/2 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22609 and -1.\nAnswer: -22609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/38, -4\/7, -3 in ascending order.\nAnswer: -3, -4\/7, -1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r**2 + 7*r - 24. Let s(f) = -9*f**2 + 14*f - 72. Let c(x) = 3*x**2 - 5*x + 26. Let q(d) = -8*c(d) - 3*s(d). Calculate 2*l(v) + 7*q(v).\nAnswer: v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3)) - sqrt(2))**2 + -4.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093883816 rounded to 3 dps?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*f - 20 - 71 + 1. Calculate the least common multiple of 15692 and f.\nAnswer: 15692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/49? (a) 9 (b) 3.1 (c) -0.3 (d) -0.4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -26*u - 4. Let s(o) = 1352895*o + 208868. Determine -104434*n(y) - 2*s(y).\nAnswer: 9494*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 445 - 3?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13317347 or 13317348?\nAnswer: 13317348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 4777?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, 5\/3 in descending order.\nAnswer: 10, 5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/(-6))\/((-25)\/(35100\/(-72)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 237580163 or 237580162?\nAnswer: 237580163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*r**2 - 295*r**2 - 568*r**2.\nAnswer: -552*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -213*w + 525. What is the thousands digit of o(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5742386, -2.5 in descending order.\nAnswer: 2, -2.5, -5742386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3186*c**2*v - 10220*c**2 - 54243172*v wrt c.\nAnswer: 6372*c*v - 20440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2*k - 11. Let a be l(-5). Is (-1)\/(-3) - (-9856)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -850.99962 rounded to the nearest integer?\nAnswer: -851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 1, s: 1, p: 1, j: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 36*r + 41*r)*(2 + 3 - 2)*(-35 - 6 - 66) to the form n*r + g and give n.\nAnswer: -24396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-282)\/(-54) - 5). Which is the second biggest value? (a) -2\/15 (b) k (c) 0.139 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/(-120)*(6\/(-4))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**6\/12 - 11*w**5\/5 - 17*w**4 - 56*w**3\/3 + 140*w**2 + 400*w + 91. Find m such that l(m) = 0.\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623923.8ug to grams.\nAnswer: 0.6239238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 5)*(-22)\/(-22). Let b(u) be the first derivative of -3\/4*u**4 + 3\/2*u**2 - 9*u + l*u**3 + 12. Factor b(n).\nAnswer: -3*(n - 3)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -7, 23, -591?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -74677*o**3 + 2*o + o**2 - 2*o**4 + 74681*o**3 + 62*o**2 in the form j*o**4 + x*o**3 + k + d*o + s*o**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 178.9, -0.074?\nAnswer: 178.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 9 = 3. Suppose 0 = 2*i - 3*i + 3. Let z = n + i. Which is the second biggest value? (a) z (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(275) + (sqrt(1584)*-1)**2.\nAnswer: -10*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*y - 765*y + 18*y**3.\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb (base 15) to base 13.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 3, q: 4}. Give prob of picking 2 q and 1 u.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 16*r - 358. What is j(17)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*p = -61*p - 63*p + 384 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76) - sqrt(76))*-2)\/(2*sqrt(400)) + 2*sqrt(76) + (sqrt(19) - (sqrt(19) + ((sqrt(19) + 0)*-3)**2)).\nAnswer: -171 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -365*x**3\/6 - 75*x**2 - 10*x - 15. What is the derivative of s(k) wrt k?\nAnswer: -365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1432071 - 1432071 - 2091*c.\nAnswer: -2091*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f - f)*(-3 + 1 - 1)*(-2*f**3 + 17*f**3 - f**3).\nAnswer: 84*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/(-26) - (-27)\/351. Let j be 43 + (v - 18\/(-3)). What is the greatest common factor of 459 and j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-45))\/((-2)\/5). What is the least common multiple of 44 and (6 - 0)\/(-1 - x)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**17)**(1\/77) assuming y is positive.\nAnswer: y**(-34\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3133 and 3388281.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*u = 4622, 5*b - 3*u = -2907 - 1691. Is b\/(3 - 4) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28641*o**2 - 1073*o + 7175*o**2 + 1073*o - 13157*o**2.\nAnswer: -34623*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.3 (c) 1097 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5792\/7, -0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 245*c - 5056. Let i be l(-18). Factor -68*y - 2312 - 1\/2*y**i.\nAnswer: -(y + 68)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -87. Let p = 30.27 - 0.27. Let g = k + p. Which is the nearest to -3? (a) -2\/9 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2464.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 5*h + 5218, -2*f + 9*h = 6*h - 750. Calculate the remainder when 1368 is divided by f.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(40\/10 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 189.6587 * 1\nAnswer: 189.6587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 136641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 2, s: 2, x: 4, n: 1, w: 2}. What is prob of picking 1 x and 1 r?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 243*c**2 - 6*c + 463. What is the tens digit of k(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -9. Suppose y*x = 3*x - 18. Does 2 divide 39\/x - 2\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258922 and 5270.\nAnswer: 682259470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/12 + -3 + (-1641)\/12. Let g(d) = -d**3 + 9*d**2 - 11*d + 12. Let s be g(9). Let h = s - k. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.7, 9\/5, 1\/6, -773?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 3 (c) -2\/3 (d) -1.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - 10*y**2 + 5*y + 84. Let w(c) = 2*c**3 - 2*c**2 + c - 1. What is -d(p) + 5*w(p)?\nAnswer: 7*p**3 - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**6\/6 - 52*j**5\/5 + 105*j**4 + 2400*j**3 + 6655. Solve o(d) = 0.\nAnswer: -8, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 0.0858?\nAnswer: -0.7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2668)\/(-322) - (1 + (-10)\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -129, -402, -931, -1800?\nAnswer: -3093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662133.\nAnswer: 3, 17, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27765 is divided by 2132?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 227499*o + 4. Suppose 0 = 5*l - 25. Let n = l - 1. Let a be i(n). Round a to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2057) + -1)*1*2 - 3*(-3 + -1*sqrt(2057) + sqrt(2057) - (sqrt(2057) + -2*(sqrt(2057) + sqrt(2057) + 0))))**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1469 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 103.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -35. Suppose 15*c = h*c - 2. Let d(m) = -4*m**2 - m**3 - 3 + 0*m**3 + m - c*m**2 - 2. Give d(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/28 + 1\/2. Let z = 4.83 + -47.83. Let h = z + 42.8. Which is the third smallest value? (a) -3\/2 (b) l (c) -0.5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/120021615 and -71\/688296.\nAnswer: 960172920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 5 - 234192*b**2 + 7970*b**2.\nAnswer: -226222*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) - (2 - (-30)\/(-12)). Solve p = 5*d - 5 - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -72*p + 21. Let y(r) = 649*r - 187. Let c(v) = 44*i(v) + 5*y(v). Is c(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose 2*i - 8 = -2*i. Suppose 0 = -4*b + 4*v + 20, -3*v + i = 4*b + 2*v. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 15. Let h = -348 - -369. Suppose -2*z + 58 = 5*j, 3*z + 0 = -2*j + h. What is the smallest common multiple of w and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3168)\/121 + 2\/11. Let r = 33 + u. Let n(c) be the third derivative of c**5\/60 - 3*c**4\/8 - c**3\/3 - 197*c**2. Calculate n(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2, 4, 63, 6, 276 in descending order.\nAnswer: 276, 63, 6, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 32, 64, 114, 188?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 25. Let r(x) be the second derivative of x**5\/30 + 83*x**2 + 27*x + 4. Let q(d) be the first derivative of r(d). Determine q(t(p)).\nAnswer: 18*p**4 + 300*p**2 + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -27*f + a + 4*a, 52*a - 54*a = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -27. Let d = p + -11.8. Let l = d + 0.6. Which is greater: -3\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 18. Is d >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 5. Let p = -2 - a. Suppose 0 = -3*f - p*f + 21. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/33, -2\/5, 12\/31?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 + 448\/7. Suppose -4*d = 4*a - 80, 22 - u = -2*a + d. Does 16 divide -1 - ((-6)\/2 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5576)\/(-476) + (-2)\/(-7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmm when three letters picked without replacement from {m: 9, p: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 o when three letters picked without replacement from onunnuunnnuunou.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y**2 + y - 3. Let a be j(8). Suppose -a*x = 5*s - 5, 0 = -s + x + 4 + 1. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -143655 and -0.027 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41329*g**3*m**2 + 228*g**3 + 4558*g**2*m**2 + 3*g**2*m - 17*m**2 - 2 wrt g?\nAnswer: -247974*m**2 + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:33 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - -1533 - (3 + -2 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 1105*v\/6 + 548\/3.\nAnswer: (v + 1)*(9*v + 1096)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k + 21*k - 4*k**3 + 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 427 - 67297938\nAnswer: -67297511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 9)*(4 + 5*m - 6 + 0*m)*(5 + 0 - 1)*(-2 + 1 - 3).\nAnswer: -960*m + 384","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 49*w + 2079. Give n(-44).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2, -2*m + 229 - 233 = 4*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -12*c - 25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -46 * 61.5\nAnswer: -2829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-42)*(k*((k\/(((k**(-1\/2)*k)\/k)\/k*k*k))\/k)\/k)**(-12))\/((k**(-2\/3))**(-31))**(-1\/93) assuming k is positive.\nAnswer: k**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2126 - -2491. Calculate the remainder when i is divided by 101.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 291 - 136 - 117 - 15*h + h**2. Let v be n(12). Suppose -r + 4 = -v*s, -s - 12 = -r - 2*r. Solve -i + 0 + r = -t, 5*t = -15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose y = b*y. Suppose -5*a = -5*u + 35, 2 = a + u + 1. Sort 3, a, y.\nAnswer: a, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-4))\/(9\/(-18)). Suppose 0 = b*y + 37 + 93. Let x be y\/(-39) - (-34)\/3. What is the highest common factor of x and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115 divided by 465?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985659?\nAnswer: 3, 101, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -124345050\nAnswer: -2\/62172525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1314271512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 98*d**2 + 83*d + 1278. Calculate m(97).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Suppose k = -3*o - 9, 0*o - 5*o = -5*y + 20. Suppose 0 = 5*s + 3*t - 24, -y + 5 = s + t. Solve -7 = 5*d + 3*l, -d - s = 4*d + 4*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 1 + 1)*(-42*w - 26*w + 15*w)*(5*w + 4*w**2 - 5*w).\nAnswer: 848*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/360*-4*1884\/(-2198).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/41 + -200\/123. Let z be -10 - -2 - 1*-3. What is the second smallest value in z, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.042 - -0.032. Which is the second smallest value? (a) -0.2 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51606121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1620*r - 1693*r + 11 - 3 to the form b*r + j and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2 - 39339982*f = 0.\nAnswer: -19669991, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70918390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 + -1.9. Let f = -2\/69 + -59\/345. Which is the nearest to f? (a) u (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 8, v: 2, n: 3}. Give prob of picking 1 v and 2 n.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - 3*a)*(69 + 43*a - 69) + 4*a**2 - 4*a**2 + 2*a**2.\nAnswer: -41*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuuujuuuuujjgjuujju. Give prob of picking 1 g and 1 u.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, q: 4, v: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 2*p**7\/105 - 13*p**4\/24 - 2*p**2. Find the second derivative of o(k) wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**3 + 1 - 2*j**3 + 4*j**3 - j**2. Let s be q(-1). What is the smallest common multiple of s\/12*4\/(-3) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22853 + 22899. Solve -25 - 67 = -j*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7.3. Let q = 24 + -2. Suppose 0 = 4*g + q - 2. Which is the nearest to -2? (a) s (b) -4\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((2*sqrt(300) - sqrt(12)) + sqrt(12))\/(-4*sqrt(12)\/sqrt(3)) - sqrt(576)\/(sqrt(12)*-2)*-3).\nAnswer: -34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -5)\/(14\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9500 and 12250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 5, 0.3, 2, -12.6?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003614518 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 19*i + 105 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45873.\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -97? (a) 1 (b) -1\/4 (c) -2\/7 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-5) + 3\/(-5). Suppose y = 4*p - 155. Suppose 3*q = -3*d + 42, 0*d = 3*q + d - p. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -34. Sort -0.1, v, -85.\nAnswer: -85, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 + -129. Let o(j) = 2*j + 6*j - 21*j + r*j. Let g(c) = -9*c**2. Determine o(g(i)).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246422 and 2116.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426.395 months in years?\nAnswer: 118.86625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3801025 to 1 dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -3. Suppose 0 = -3*h + 4*b + 50, 2*b = -5*h - 3*b + 60. Calculate the least common multiple of a and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + 8)\/3 + (-4)\/2. Put t, 1, -1, -3 in ascending order.\nAnswer: -3, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5941 + (4 + 0 - 12).\nAnswer: 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 20. Let q(k) = 3*k**2 + 38*k - 2696. Let s be q(-37). Solve -4*l - n = 1, l = i*n - 0*n + s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -229, 178, -79, 0.4, 0.3, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16904 or 16396?\nAnswer: 16396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720 is divided by 109?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/5 (b) -2\/7 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, y: 14}. Give prob of picking 2 b.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z + 9792 = 60*z. Calculate the highest common divisor of z and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - 4\/(-12). Suppose m*h + 2*h - 12 = 0. Suppose -d = 5*w - 13 - h, 5*w + 3*d - 27 = 0. Solve w*f = -f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfnlffllllglnctcl. Give prob of sequence nglt.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**3 + 60*h + 1 - 9312*h**2 + 9242*h**2 - 2*h**3 + 176*h wrt h?\nAnswer: 36*h - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klskk. What is prob of sequence sk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d*d*d**18*(d*d**13)**(-22) assuming d is positive.\nAnswer: d**(-291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/sqrt(6)*5 + sqrt(2754)*-6)\/(-1*(sqrt(12)\/sqrt(24) + (sqrt(162) - (sqrt(162) - (sqrt(162)*-1 + sqrt(162) - sqrt(162))) - sqrt(162)))))**2.\nAnswer: 3332\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (77 - (-3315)\/(-75)).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4386 divided by -1462\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7485.412um?\nAnswer: 7.485412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let w(j) = 3998284*j. Calculate w(y(q)).\nAnswer: 7996568*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(9\/((-21)\/7))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11065, -91171, -308605, -732031, -1430113?\nAnswer: -2471515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 49. Let l(o) = -3*o - 5. What is the remainder when h is divided by l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 2, 16988, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -87, -139, -197, -261, -331, -407?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.526307 decades in centuries?\nAnswer: 0.0526307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53361126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4136030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*p**2*s**3*x - 96*p**2*s**3 + 36*p**2*s - 2*p**2 + 11*p*s**2 + 707962*s**3*x + 2*s**3 wrt x?\nAnswer: -20*p**2*s**3 + 707962*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 396.863?\nAnswer: 373.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b*b\/b**(-1\/2)))*b*b**(-1)*b*b)\/(b*b**(-7)*b**(-3)))\/((b*b**(1\/4))**(-1\/22)\/(b**(1\/5)\/((b**(1\/4)\/b)\/b))) assuming b is positive.\nAnswer: b**(7263\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 3, 5, 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + sqrt(30)\/sqrt(6) + 5)**2.\nAnswer: 36*sqrt(5) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-4))\/(1 + 0). Let v be x*0\/(6\/(-3)). What is the second biggest value in -4, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -9355526.\nAnswer: -19\/4677763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29645*v**2 + 107742*v**2 + 7580*v**2 + 16*v**3.\nAnswer: 16*v**3 + 144967*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/4 of a century?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - n + 1 = -6, 3*n - 15 = 0. Let g be (4\/(-3))\/(l\/(-3)). Round g to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s + 20*s - 18*s**3.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0025 and -39333267.\nAnswer: -39333267.0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: a0 (base 12) to base 10\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344422 (base 7) in base 8?\nAnswer: 2017355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -14, -3, -1, -6 in ascending order.\nAnswer: -15, -14, -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3424 (base 7) to base 13\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/728)\/(535\/(-6741))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.047 and -1.5659.\nAnswer: -1.5189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 + -103. What is the remainder when g is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is db + -184a47?\nAnswer: -18496c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 218 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1746*l**2 - 2*l + 625 wrt l.\nAnswer: -3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(3\/(-3) + 2). Let i be ((-2)\/12)\/(x\/4). Which is the nearest to -2\/3? (a) -1 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 422, 633, 844, 1055, 1266?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v - 21 = -2*r - 29*v - 28*v, -v = -4 + 9 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 36 - 18 - 6 - 33*h to the form q*h + i and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13386516 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 194 + 0*n**2 + 3*n**2 - 217 in the form t + z*n**2 + j*n and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 - 1. Let g be o(1). Let f = 1 - g. Let v be ((-1)\/(-3))\/(f\/(-36)). Solve -2*c + v*c = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 13*r**2 - 104*r - 199. Determine y(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1298737 (base 10) to base 2.\nAnswer: -100111101000100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:07 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*i - 21, i + 2*i = -9. Let v = -5 + c. Let b be (0 + 2 + -6)\/v. Solve -b*x + 4*a = -7*x - 5, 0 = 4*x + 5*a - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -0.4\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -144577000 rounded to the nearest one million?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 36*k**2 + 0*k - 43\/24*k**4 + 0*k**3 - 7\/60*k**6 + 0 + 0*k**5. Find the second derivative of z(f) wrt f.\nAnswer: -84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.26 times -934.34\nAnswer: 3045.9484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + g + 7, 2*g - 3*g = 4. Do n and 9\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 4*o - 1. Let z(i) = -2*i**2 - 7*i - 2. Let h(y) = -7*g(y) + 3*z(y). Let s be h(-6). Which is the closest to -1? (a) -2\/5 (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + -1753 + 1777?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17773 - 17767. Let c(u) = -8*u + 1. Let b be c(-3). Suppose 7*z = 2*z + b. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26664, -53461, -80258, -107055, -133852, -160649?\nAnswer: -187446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let j(k) = 25*k - 14. Let c(t) = j(t) - 4*m(t). Calculate the remainder when c(2) is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(10)\/sqrt(5)*5 - (sqrt(2) - (sqrt(50) + -1 + sqrt(50)) - sqrt(128)*1).\nAnswer: -6 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 11 + 3. Let x(i) = -i**3 - 9*i**2 - 9*i. Calculate the remainder when 13 is divided by x(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 c when four letters picked without replacement from czcccczncczcnccccc?\nAnswer: 143\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, -197, -557, -1061, -1709, -2501?\n\"Answer: -72*m**2 + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*m**4 - 26\/11*m**2 - 20\/11*m - 4\/11*m**3 + 0 = 0. Calculate m.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -213.2381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:30 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1277, -1518, -1763, -2012, -2265, -2522?\n\"Answer: -2*b**2 - 235*b - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 5 = 4*l + w, 2*l + 28 = -5*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 - 5*s - 8. Give g(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -8 - -1) + 4. What is the units digit of (2\/6)\/(q\/195)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 722970181*m**3 - 522321527*m**2.\nAnswer: 4337821086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4910909 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 233639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 2, p: 4}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnttn. Give prob of sequence tnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 497130 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 79. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19854 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, -4443, -1, -8\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - (0 - 3). Let p be (-7 - -28)*v\/(-6). Let x = 13 + p. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003633 to four dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * -0.6.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 18*x**2 + x**3 + x - 4*x**2 - 3*x**2 - 7*x**2. Let j(s) = -s**2 - 4*s - 2. Let w be j(-4). Calculate v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 25. What is the highest common factor of h and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4028 and 8723356?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z + 98*z - 40*z - 40*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + v + 112, -135 - 281 = 4*y - 4*v. Let b = 232 - y. Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x**2. Let c(y) = 84739 + 57*y - 84739. Give o(c(m)).\nAnswer: 25992*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -16. Let n(p) = 4*p - 2. Let m be n(f). Suppose -94 = -m*o + 8*o. Round o to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908579048?\nAnswer: 2, 13, 29, 71, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 103310121 (base 4) to base 15\nAnswer: 190bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k + k**2 - 2*k - 25*k**3 - k**3 - 3*k**3 to the form q*k**2 + b*k + o*k**3 + v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210.672 + -211. Let a = 1.392 - l. Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/416)\/(796\/(-264) - -3) and -117\/80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20556, -41, 11, 4, -4 in increasing order.\nAnswer: -41, -4, 4, 11, 20556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 3*y**3 + 6*y**3 - 13*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51.13 - 55.1. Let m = p - 0.03. Let r = -1275 + 1276. What is the closest to r in -8, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d = 55 - 325 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -137*u**4 - 35*u**3\/3 + 10. Find the third derivative of k(j) wrt j.\nAnswer: -3288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 20453?\nAnswer: -9\/20453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/63*(-2)\/((-12)\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*v + 97*v - 4724*v**3 + 4723*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 2*i - 2 + 25*i**2 + 20*i**2 - 41*i**2 wrt i?\nAnswer: 8*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + 1533*s - 1533*s + s**4 - 3*s**4 + 0*s**4 + (-s - 2*s + 5*s)*(2*s**3 + 2*s**3 - 2*s**3) + 0*s**2 + 2*s**4 + 0*s**2 - 3*s**4 - 2*s**4 + 3*s**4.\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 2*f + 0*f + 0*f**2 + 81 - 39 - 2*f**2 to b*f**2 + z + c*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -13. Suppose -2 = 11*l - 12*l. Suppose -l*t + 105 = t. What is the remainder when t is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 54 + 54. Let q(r) = 6*r**2 + 7. Let c(z) = 5*z**2 + z**2 + 3 + z**2 - 4*z**2. Let y(j) = -7*c(j) + 3*q(j). Calculate a(y(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 0*k + 5278*k**2 - 7054*k**2 to h*k + w*k**2 + x and give w.\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(208) + -5)*3 - (-3 + 2*sqrt(208)))**2.\nAnswer: -2112 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -15. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 4*h**2 + 5*h - 1. Let w be o(3). Solve 8*g = w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*h - 132*h - 18 = 0. Solve -h*a - 24 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0341906 centuries?\nAnswer: 0.00341906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/31, -0.5, 4 in decreasing order.\nAnswer: 4, -14\/31, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-30) - 32482\/(-14). Let i = q - 16194\/7. Let a = -40\/7 + i. Is 1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-2\/47)*p**(4\/11) assuming p is positive.\nAnswer: p**(727\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Suppose -4*u = -12 - 8, -b*j = -2*u + 30. Let h(x) = -394*x**2 - 2*x - 4. Let q be h(j). Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 74*x - 1016 = 70*x, 0 = 2*q + 5*x - 1010. Calculate the greatest common divisor of 128 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110 (base 2) in base 3?\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 4*j**3 - 16*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 + 24080.\nAnswer: 24105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-10)\/4 - -1). Let j = -17 + 22. Suppose f + 2*l - 11 = 0, j*l = 3*f - f + 5. Solve f = -3*c - q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 16 = 5*r, -3*n + 1 = -r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Let h(j) = 4 + i*j + 3*j - 2*j + j**3 - 4*j**2. What is the lowest common multiple of 22 and h(4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*c = -2*c - 134, 0 = m + 4*c - 18. Suppose 0 = -2*z + 4*z - m. Solve -1 = 3*b - z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 2. Let z be h(-5). Suppose z*d - 36 = 42. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r**2 + 6*r - 3. Let p be h(10). Let w = -12616\/11 - p. What is the common denominator of 4\/9 and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -z + 523, 0 = 5*o - 3*z - 0*z - 641. Let v(i) = i**2 - 12*i - 24. Let l be v(16). Suppose o = 45*h - l*h. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 2. Let k(x) = 2*x. Give 3*g(r) + 12*k(r).\nAnswer: 3*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c - 116 = 0. Suppose 2407 = -7*k + 36*k. Calculate the remainder when k is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/60 - 7*i**4\/24 + 3*i**3\/2 - 2*i**2. List the prime factors of u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2. Let d be z(-1). Let w(p) = p**2 - p - 2. Let h(m) = -m**2 + 2*m + 1. Let u be h(-1). Let g be w(u). Solve -d + 5 = -g*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1284, -4503, -5 in ascending order.\nAnswer: -4503, -5, 1284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94569 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: Which is the closest to 0? (a) 107 (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and 43\/(-30) - 7\/42?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -1\/12*j**4 - 2\/15*j**5 + 29*j - 2 + 1\/30*j**6 + 2\/3*j**3 + 2\/3*j**2. Factor k(s).\nAnswer: (s - 2)**2*(s + 1)*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5 - 63*l**3 + 124*l + 1?\nAnswer: 40*l**3 - 378*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.772 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 515 and 131079139?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45\/(-18)*1 - 76473\/(-2)?\nAnswer: 2, 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:32 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjpb when four letters picked without replacement from {b: 3, p: 5, c: 2, j: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, n: 1, p: 1, k: 1, m: 1, q: 4}. What is prob of picking 1 i and 1 k?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 8:35 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/27)\/(15\/(-27))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -15*f + 78. Calculate a(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/14 + 248\/(-217).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 17*g - 144. Determine k(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 15*o**2 - 15*o - 10. Let n be s(16). Let v be 0 + n\/(-8) - 210\/8. Let t = v - -29. Calculate the remainder when 14 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-4)\/(-2)) + 3. Suppose p + c*p - 240 = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13594065 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: Let o(x) = -1477*x - 5. Let n(r) = -50955*r - 172. Determine 5*n(v) - 172*o(v).\nAnswer: -731*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -13. Which is the fourth biggest value? (a) -5 (b) v (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 5*r**3\/3 + 23*r**2\/2 + 6*r. Let z(d) = d**2 - 2*d - 3. Let h be z(4). Is i(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4115 + 1942 = 148*o + 1617 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 165 = 3*r - 4*k, -65 = -r - k. Suppose -h + 5*w + 15 = 0, -4*h + w = -2*w - r. What is the remainder when h is divided by 2\/(((-14)\/(-4))\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + -8ddd?\nAnswer: -9034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.3 (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5252066776.\nAnswer: 2, 11, 3673, 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 6:22 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9696 - 9696.09. Is -21\/4 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 27*n = -30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-28)\/(-180) + (-6)\/10. Which is the third biggest value? (a) -1 (b) n (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -87, -205, -389, -663, -1051?\n\"Answer: -4*b**3 - 9*b**2 - 63*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2042 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.036, -1, 0.608 in ascending order.\nAnswer: -1, -0.5, -0.036, 0.608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - v)*(-226201*v**3 - 2*v + 226093*v**3 - 3*v) - v**4 + 0*v + 0*v.\nAnswer: -217*v**4 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -19.885. Let z = j + -0.115001. What is z rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(9\/5)\/n)\/(n**(7\/4)*n)*n**(2\/15)*n**(-3) assuming n is positive.\nAnswer: n**(-169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2778)\/(-8) - ((-7)\/4 - -1). What is the units digit of (9 + -5)*q\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3387040 by 5.\nAnswer: 677408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3564*o**3 - 338 + 338.\nAnswer: 3564*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34866 or 26?\nAnswer: 34866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -413 + 418. Suppose 3*u - 4*n - 29 = 0, -50 = 2*u - 4*u - f*n. Calculate the highest common divisor of 27 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3 - 6 = -o, 2*z - 4*o - 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (0 - 1 - (-4 - 12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*j*q**2 - 7*j*q*u**3 + 2*j*u**3 + 10*q**2*u - 28*u**3 wrt j?\nAnswer: -24*q**2 - 7*q*u**3 + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18181.89273 to the nearest one hundred.\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/5 (c) 7449\/116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 14. Suppose m - k = -13. Let g = -3 - m. Which is smaller: 2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, 0.18, -1\/7, 2\/9, -14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/(-12))\/(4\/18). What is the lowest common multiple of (l - -8)*(-4)\/1 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 21*a - 43. Let y be x(7). Suppose t = 2*r + 19, t - r = 8 + y. Calculate the remainder when 89 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 - 5*q - 9. Determine p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 35301769.75 to the nearest one hundred thousand.\nAnswer: 35300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, -11, 5, -14, -2 in descending order.\nAnswer: 5, 1, -2, -8, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/15*1\/(3\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:30 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 8*s**2 + 23565*s + 164908. Calculate u(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 (base 3) in base 12?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-32 + -21 + 42).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyd when three letters picked without replacement from iysyisiiiyyddyiiiy.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 108, -0.3, 1\/8, 0.4, 0.2 in decreasing order.\nAnswer: 108, 5, 0.4, 0.2, 1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8ac8 + 1?\nAnswer: -8ac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 809845855 divided by -5\nAnswer: -161969171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 191, 369, 547, 725, 903?\n\"Answer: 178*w - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g - 6655 = 57*g. Let k = -535 + g. Let o(y) = y**3 + 4*y**2 - 4*y - 6. Let v be o(-4). What is the highest common divisor of v and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 40*d. Let l(v) = 1356*v**2. Calculate a(l(h)).\nAnswer: 54240*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l - 15. Suppose 2*o - 65 = 5*o - 2*u, 3*u + 81 = -l*o. Let f be (-6)\/o + (-38)\/(-14). Solve f*v - 2*w = -4, 4*w - w = -v + 17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13)\/(-3))\/(2\/6). Suppose -4*d = -u - 3. Suppose -74 = -3*n - 26. Solve z = 4*y + 28 - 9, d*y - 4*z = -n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 27 - v + 49 - 22. Suppose 0 = -2*c + k, c - 4*k = 5*c + 12. Let a(l) = -2*l + l + 5*l - 6*l - 3*l**2. Give c*a(i) + 2*j(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 23\/33, 3\/4, 0.3, 6\/13.\nAnswer: -2, 0.2, 0.3, 6\/13, 23\/33, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 72, 209, 464, 873, 1472?\nAnswer: 2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.0228, 16, 1, 5, 2\/3, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33010 (base 8) to base 7.\nAnswer: 55220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.433365203149 + 0.4?\nAnswer: -9.033365203149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/225*-10*((-15)\/2)\/3. Solve -5*m = o*g + 32 - 27, 2 = 4*g - 2*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 - -3. Let x be (10\/45 + 0)\/1. Which is the nearest to -4? (a) s (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1876*f**4 - 18*f**3 + 2*f**2 + 7469627*f.\nAnswer: 22512*f**2 - 108*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -67647080 to the nearest ten thousand.\nAnswer: -67650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 409400553 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1928, -3837, -5746, -7655?\nAnswer: -9564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1926)\/15)\/(38\/10). Let n = k + 3392\/133. What is the common denominator of n and -7\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 77*m + 252. Let n be i(-15). What is the closest to 1 in -1, n, -3.12, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 595381*t**4 - 1206*t**2 - 59*t + 5?\nAnswer: 14289144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -520 - -5177\/10. Calculate the common denominator of k and -30\/31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-1)\/((sqrt(363) - sqrt(363)*3 - sqrt(363)) + sqrt(363) + sqrt(363)).\nAnswer: 4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 25*o + 50. Let l be s(26). Suppose -3*p - 3*d = -585, 2*p - 452 = -d - 65. What is the greatest common divisor of p and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let u(a) be the third derivative of a**4\/12 - 2*a**3\/3 - a**2. Let l be u(3). Let q(y) = 0*y**l + 3*y**2 - 4*y**2. Calculate x(q(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**2 + 407 - 407 + 2*s**2 to q*s + b + k*s**2 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9031931 and 1558.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3406 and 87\/21746.\nAnswer: 282698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*h - 10. Find the second derivative of h + 0 - 3 - 18*y - 3*y**5 wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 13*o**2 + 3*o + 3. Let n be c(-14). Let f = 192 - n. What is the remainder when f is divided by 4\/(-6) - 56\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 13*q**2 - 3*q - 7. Determine l(-13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 419, 414, 361, 236, 15, -326?\n\"Answer: -4*q**3 + 23*q + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 245 + -269 - -119 - (-39 + 2)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9392 + 3146323\/335. Let r be -4 + (-319)\/(-77) - (3 + 108\/(-28)). Do r and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-2)\/9 + 1719\/81. Suppose -v - v + l = 0. Suppose -v = -6*o + 18. Solve -4*d = o*p - 7, -d - 4*p = 2 - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 168732.353 and 85.\nAnswer: 168817.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.98286mm to centimeters.\nAnswer: 0.698286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x - 17. Let p be 7 + x\/(-8)*-4. Solve -p*k - 2*l + 7 = 3, 2*l = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915717.9l to millilitres.\nAnswer: 915717900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-228) + 156\/38?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 874.3907 - -22.7253\nAnswer: 897.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32912256 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 742c (base 15) in base 13?\nAnswer: b24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1015*u**3 - 2*u + 1. Suppose 5*t = -0*t + 5. List the prime factors of n(t).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201224, 201208, 201176, 201122, 201040, 200924?\nAnswer: 200768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:27 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/6 - 3*x**2\/2 + x - 11. Calculate l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*p + 8 - 2, 2*p - j - 2 = 0. Suppose 2*n + 8*n - 270 = 0. Solve -n = -3*h - 3*r - p*r, -3*h - 1 = -4*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 5. Let n be v(-5). Let g(r) = r**3 + r**2 - r - 10. Calculate g(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a factor of 3090752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1387, 1260, 1133, 1006?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -968*a*o**3*w + 2*a*o**3 - a*o**2*w - 4778*a*o**2 + 16*o**3*w - 5*w wrt o?\nAnswer: -5808*a*w + 12*a + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13491*q + 13494*q - 3*m - 57 = 0, 9*q + 2*m = 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. Let b(r) = r**2 + 3*r. List the prime factors of b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.36 less than 2393661495?\nAnswer: 2393661801.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -729.3 and 3.7.\nAnswer: -2698.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 381 - 8363\/22. Find the common denominator of y and 73\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -27*v**2 - 12*v. Let g(z) = -11*z**2 - 5*z. Let h(d) = -12*g(d) + 5*q(d). Let k(a) = -12*a. What is k(h(y))?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47961594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2210335.8 months?\nAnswer: 18419.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-8))\/((-12)\/120*-105). Let n = -5.8 + 6. Let t = 2.8 + n. What is the second smallest value in x, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 58.013 - 51.8756. What is x rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 11690.84 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3834, -7649, -11460, -15267, -19070, -22869, -26664?\n\"Answer: 2*s**2 - 3821*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 16*g - 62. Let a be p(-9). Calculate the remainder when (-9)\/(63\/(-301)) - (a + 2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + sqrt(243) + (-3 + sqrt(243))**2 + 4 - -4*sqrt(15)\/sqrt(5)*-4.\nAnswer: -52*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1523*h + 418836. Give u(275).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9315 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1028438, -5, 234.\nAnswer: -5, 234, 1028438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j**3 - j**2 - 8*j**3 - 2 + 2*j + 5 + 20*j**3 - 15 to the form h*j**3 + r*j**2 + o*j + z and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -38448.01 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2430254497630 + -20.\nAnswer: 2430254497610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -5786, -4.9 in decreasing order.\nAnswer: 3\/5, -4.9, -5786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 163015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - -1 - (-9 + -17 + 23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 34295805*i**3\/2 - 34348185*i**2\/2 + 26200*i - 10 = 0. Calculate i.\nAnswer: 2\/2619, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5495.\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let a(i) = -3672*i. Give a(s(m)).\nAnswer: 3672*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/12*4\/(-55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-882)\/1512)\/((-35)\/(-130)).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozooczzoiczzzzzzoic. What is prob of picking 2 o and 1 z?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1925 - 1922. Let l(i) be the first derivative of -5*i**2 - 10 + 3\/2*i**4 - 8\/3*i**r + 4*i. Factor l(w).\nAnswer: 2*(w - 2)*(w + 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3033, 0.3, 0.4, 49, 3 in increasing order.\nAnswer: -3033, 0.3, 0.4, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 155 = p. What is the remainder when 669 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2*(-9)\/6. Does 6 divide f\/(2*(-3)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 5*w + 2. Let m be b(-5). Suppose 0*p = -p + m. Suppose 2*x = 2*h - x - 59, 0 = p*h - x - 53. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + i**2 - 2*i**3 - 2*i**4 - 1\/2*i**5 + 5\/2*i.\nAnswer: -(i - 1)*(i + 1)**3*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 349, 916, 1719, 2764, 4057, 5604?\nAnswer: 7411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 3. Let k be (-5)\/(4 - (-2 - -5)). Let o be v(k). Suppose o - 78 = -2*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*b**3 - 78*b**3 + 37*b**3 - 10*b**5 - 3*b**2 wrt b?\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 9 = 2*u, 9 - 3 = 2*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(2448) + -3)**2.\nAnswer: -384*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 4. Let t be y(0). Suppose 14*u - 13*u = t. Suppose 0*h = -u*h + 5*n + 27, -37 = -4*h - 5*n. Solve 4*z = 4 + h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41853.3792*2\nAnswer: -83706.7584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -103. Which is the smallest value? (a) x (b) -21 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/988)\/5 + (-130)\/(-874)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 13*v - 696. Calculate the greatest common factor of v and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143140 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 40 = -0*y. Let x be ((-16)\/(-6))\/((-2)\/(-3)). Suppose -x*t + 9 + 23 = 0. What is the greatest common divisor of t and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1050 and 1778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74490 = -740*b + 5706*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1171, -1172, -1173, -1174, -1175, -1176?\n\"Answer: -q - 1170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216018372 and 2280?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -2133341?\nAnswer: 2133401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from say. Give prob of picking 1 s and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1905 rounded to 1 dp?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 6)\/(-48)*-1. Let i(p) be the first derivative of 0*p + 0*p**2 - 2\/3*p**3 - y*p**6 + 0*p**5 + 0*p**4 + 6. Find the third derivative of i(l) wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 291713453 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-4)*p*p**1*p*p**(-4)*p*p*p*p\/(p*p**(1\/3)) assuming p is positive.\nAnswer: p**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -25, -1.02, 0.3, 5, 1\/2 in ascending order.\nAnswer: -25, -1.02, 0.3, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122 - 28*v**2 + 122 to the form y + n*v**2 + c*v and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -16.9. Suppose 10 = -4*j + 2. Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1823329 (base 13) to base 10.\nAnswer: -7861408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-37588)\/(-58) - 18\/261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 2*z + 3. Let m be p(3). Suppose -u + 2*s - 2 = -3*u, -s - 1 = m. Suppose -2*f = -f - u. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(16\/336*(-12)\/2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30446993 is divided by 53?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422.4 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {r: 2, g: 10, f: 1, b: 2, q: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 329 = 25. Suppose -3*b + 238 = f. Calculate the remainder when b is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 84520562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 49 - 4*t**3)*(-2*t + 4*t - 4*t + t**2).\nAnswer: -4*t**5 + 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p**2 + 3 + 1279*p + 1278*p - 2*p**3 + 0*p**3 - 2563*p in the form i*p**3 + f + n*p + b*p**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110000 + -11000011001010001?\nAnswer: -11000100010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-124)\/(-10)*(-1700)\/120*-15. What is the highest common factor of 153 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 5*t + 3715. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4840977.6 - -4840947.6000137. Let n = -30 - a. What is n rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (6 - 11) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435454.\nAnswer: 2, 217727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -2 (c) -3\/2 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 345*d - 364*d + 44802. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 55*s. Let d(p) = -18*p. Calculate -8*d(c) - 3*r(c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101010101010100011010?\nAnswer: 101010101010100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 1451. What are the prime factors of p?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 360, 40, -261 in ascending order.\nAnswer: -261, 40, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079925 divided by -385?\nAnswer: -2805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 30 + 7*z)*(12*z + 5*z - 3*z)*(z**3 - 2*z**3 - 2*z**3).\nAnswer: -294*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(-2) - 1037\/(-160) and -21\/8.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173.2*-5.\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7195?\nAnswer: 5, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 6*g - 2. Let s(d) = d**2 - 5*d + 2. Determine -6*p(h) - 7*s(h).\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/11 - -37\/44. What is the nearest to 1 in f, -4, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 8, -6 in increasing order.\nAnswer: -6, -5, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5. Let z = 185 - 188. Sort -2, m, -5, z in decreasing order.\nAnswer: m, -2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 17*x**2 + 3*x - 2. What are the prime factors of y(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/12 - 13*a**3\/6 + 6*a**2. Find the first derivative of s(u) wrt u.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1664, 2556, 3448, 4340, 5232, 6124?\n\"Answer: 892*s + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1936256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**3 - 135*x - 165*x**2 - 40*x**3 + 9*x**3 - 2*x**3 + 5*x**4.\nAnswer: 5*x*(x - 9)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104414 divided by -629.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:05 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 8 = 4*r, -3*r = 5*k + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 15 = 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4553172 divided by -26?\nAnswer: -175122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 153407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120*w + 980*w = -840. Solve 3*v - 8 = -4*j, -5*v + 14 = -w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4828 - 4871 + 11*u - 41*u - 24*u to x + f*u and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 0 - (-2 - 0 - (-221 + 239)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*a + 7 + 10, -14 = -5*a + 2*v. What is the second derivative of -10*k**4 - k + 11*k**a - 6*k wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - (-112)\/42)\/(9\/(108\/(-4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) - (sqrt(25)\/(-2*sqrt(5)) - sqrt(5)))**2 + 1 + 3.\nAnswer: 129\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.0624\nAnswer: -0.00624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9893 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.481883 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkmwmkkdw. Give prob of sequence dwd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2497, 2977, 3457?\n\"Answer: 480*n + 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 3, e: 5, p: 1, j: 3}. What is prob of picking 4 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -4 (b) 0.1 (c) 0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-845)\/(-5915))\/(1\/((-14)\/(-6)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80725067 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48621760 by 6.\nAnswer: -24310880\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -322*q**5 - 39*q**5 - 436*q**5 + (-4*q**2 + 2*q**2 + q**2)*(-2*q**3 + 0*q**3 + 3*q - q).\nAnswer: -795*q**5 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**3*n**2 - 63*f**3*n + 36*f**3 - 5*f**2*n**2 - 6*f**2 + 1517*n**2 + n wrt f.\nAnswer: 54*n**2 - 378*n + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 7*z = 3*f - 110729, 2*f - 14 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + -4 + 4 + -4. Let i be (0 + -2)*(4 - m). Solve -i*j - 20 + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/18 - (-1160)\/(-36). Let d = 19 - n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t + 15. What is the first derivative of -14 - 12 + 16 - t + 4*i**3 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/(t*t*t**(6\/29)))\/((t*t**(-8\/7))\/(t*t**(-14\/3))) assuming t is positive.\nAnswer: t**(-3490\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 4. Let i(l) be the third derivative of l**4\/12 - l**3\/6 + 2*l**2. Let n be i(-2). Calculate o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -15*s**2 - 452700*s + 733018805. Let j(b) = b**2 + 32336*b - 52358486. Let w(z) = 85*j(z) + 6*y(z). Factor w(h).\nAnswer: -5*(h - 3236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61116528859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9467*p - 9180*p - 10332 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 0.6?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = -10. Solve -3*z**4 - v*z**2 + 2*z**4 + 2*z**3 + 3*z**4 + 2*z**3 - 4*z = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:45 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -485 <= -2422\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*n + 19, 0 = -5*n + 4*n + 4*w + 14. Solve 20 = -4*s, 0 = n*p - 2*s - 2 - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -56. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915507 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 5*m**4\/24 - m**3 + 42*m**2. Let d(p) be the first derivative of 3*p**2 - 7*p - 48. Calculate -3*d(k) + 4*t(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -25*v - 9. Let m(r) = 13*r + 5. Let d(w) = 11*m(w) + 6*o(w). What is d(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.164103 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1682 - 3?\nAnswer: 167e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27793?\nAnswer: 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 1\/13 (c) 6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*t**2 + 497*t**2 + 31 + 5*t**3 + 502*t**2.\nAnswer: 5*t**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 2. Give u(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(12\/(-8) + 1). Let c(h) = -13 + h**3 - 842*h**2 + 11 + 843*h**2. Give c(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + -1 + sqrt(175) + sqrt(175))**2*-1 + -4 - (4*-2*sqrt(175)*-2 - ((1 + 2*sqrt(175) + sqrt(175))**2 + -4)).\nAnswer: -50*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*o = -3, 9 = 4*w - w - 2*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3336, 3\/2, -9, 75?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and 108.\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5 - 40*k**4 + 156*k**3 + 440*k**2 + 242*k = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/16 + 4257\/264. Suppose 0 = y*m + 17 - 113. Solve 1 - m = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 + 69*m**2 + 22*m + 90. Give o(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 39718, -149 in descending order.\nAnswer: 39718, -3, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 6:51 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1798*m - 7830 = -1276*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -177?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x + 4*f - 8, 12 = 4*x + 4*f. Suppose -l + 30 = x*l. Suppose l = 2*s + 4. Solve -b - s = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104135 divided by 59.\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*y**2 - 478*y**2 + 1016*y**2 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 131824, 2\/21, -0.2 in descending order.\nAnswer: 131824, 2\/21, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - 5*b + 5. Let u(t) = 5*t**2 - 4*t + 4. Let x(k) = 4*f(k) - 5*u(k). Let s(w) = -4*w. Give x(s(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694144758.\nAnswer: 2, 389, 3462911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(11*4\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 4*g - 4. Let f be l(3). Let q(o) = 2*o**2 + 5*o. Let n(b) = b. Suppose 14*u = 24*u - 60. Give f*q(k) + u*n(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4052903 - -0.3.\nAnswer: -4052902.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iejsfje. What is prob of sequence sji?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1453\/5 - 3\/((-15)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12541 = 15*m - 2909. Let q = 1030 - m. Factor q + 24\/7*s**3 + 16\/7*s**4 + 4\/7*s + 16\/7*s**2 + 4\/7*s**5.\nAnswer: 4*s*(s + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94034*t - 53998*t**3 + 54020*t**3 - 94034*t.\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2169996 divided by 67.\nAnswer: 32388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 780.45 and -696.\nAnswer: -543193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*y - 3)*(-1 + 1 - 3*y**3) + (2 - 4 + 0)*(y**4 + 0*y**4 - 2*y**4).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041886 a multiple of 904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 30035*q + 30040.\nAnswer: -5*(q - 1)*(q + 6008)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*d*o - 5687935*d*p - o*p + 3*o + 74362356*p wrt d?\nAnswer: -13*o - 5687935*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -123 - 3?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2a6a0b3 (base 13) to base 3\nAnswer: 221111220212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*f**2*o*p**4 - 4*f**2*o*p**3 - 7*f**2*p - 2*f*o*p + 12*p + 1 wrt p?\nAnswer: -840*f**2*o*p**2 - 24*f**2*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 0, 150, 74 in ascending order.\nAnswer: -12, -3, 0, 74, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 147628 (base 11) in base 3?\nAnswer: 102200001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7067976.\nAnswer: 2, 3, 294499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2288 + 2272. Which is greater: s or -160\/11?\nAnswer: -160\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104617 by 68.\nAnswer: -104617\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318786448 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-11))\/r)\/r*r*r*(r*r**(-15)*r)\/r assuming r is positive.\nAnswer: r**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1276900*y**2\/7 - 1102880*y\/7 + 238144\/7 = 0. Calculate y.\nAnswer: 244\/565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 2*p - 5*g - 15, -3*p - 4*g = 26. Let r be -1 - (37 - p\/2). Is -2 + 0 + 0 - r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/39*(-1245)\/2. Let h = 64 + l. Which is the third biggest value? (a) 0.3 (b) 3 (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + -3*sqrt(17) + 2)**2 + (sqrt(17) + 4*sqrt(68) + (sqrt(153) - (sqrt(153) + 2)))**2.\nAnswer: -40*sqrt(17) + 1450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 8*u - 7. Calculate l(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 2)*26\/4. Suppose -7*z + 9*z = y. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*r - 2*r - r)*(0 - 2*r + 0)*(2 - 1 + 1)*(-7 - 9 + 8) to the form f*r + h + y*r**2 and give y.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.31303ug in grams?\nAnswer: 0.00004131303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6933*k**2 - 681*k - 5 - 6873*k**2 + 681*k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 14*b - 6. Suppose -3*p - 5*p = p. Solve -b = r - p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1011719\/635910 - -2\/28905. What is the common denominator of i and -11\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1495.673?\nAnswer: 448.7019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80911 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -89*h + 532. Determine i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 3)*(-4 + -1). Suppose -y = l*n - 20 - 10, 3*y = 15. Calculate the smallest common multiple of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.94 + 0.06. Which is the closest to 3? (a) -0.4 (b) j (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23000 (base 4) to base 8.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239402529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 939*d + 9. What is the hundreds digit of k(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 40. Let r be n(-16). Let v(s) = -2*s**2 - 20*s - 26. Let x be v(r). Solve -5*k + x = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 62*h - 483. What is z(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**3 + 6952 - 6952.\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-21) - (-65)\/(-7). Let u be (-6)\/p*-3*1. Is 267\/u*8\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172 (base 12) to base 13.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727251.\nAnswer: 607, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/546 and -125\/66.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**2 - 86 + 86 - 76*t**6 + 17*t**6 + 191*t wrt t.\nAnswer: -7080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 24*w**2 - 9 - 23*w**2 + 8. Suppose 4 = g - 0. Let r(h) = g*h**2 - 1 + 2 - 2. Give -2*d(x) + r(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2 - 8. Let p(k) = 4 - 3 - 5*k - u + k**2. Let b = 7182 - 7177. Calculate p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1099074489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-y**2 + 0*y**2 - y**2) + 381*y + 436*y + 434*y - 1251*y + 31591*y**2 to the form c + l*y**2 + p*y and give l.\nAnswer: 31593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 11*q - 8. Let o be j(-10). Let n be 2\/o + -3 + 3. Sort -0.1, n, 3 in ascending order.\nAnswer: -0.1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1874, -6, -6\/7, 2\/7 in increasing order.\nAnswer: -6, -6\/7, -2\/11, 2\/7, 1874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + 3 + -8) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 5. Let r be t(-7). Let h = 1 - r. Let b = h - -3. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13062*i = -14143*i - 42159 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3306 - -23146\/7. Let j = 9 - 15. Let i be -2 - (2 + j + 2). Which is the nearest to t? (a) -4 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 11*p**2 - 11*p - 8. Let j be r(12). Let f be (j\/5)\/((-12)\/(-30)). Solve 5*h - h = d - 18, d = -f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309504 rounded to the nearest 1000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 35*z - 60. Let w be v(34). What are the prime factors of ((-6)\/8)\/(w\/15080)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.19 and 0.0099.\nAnswer: -0.061281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -131326*66\nAnswer: -8667516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:50 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 839*w**2. Let m(a) = -7*a. Calculate y(m(t)).\nAnswer: 41111*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 + -319. What is the common denominator of ((-6)\/28)\/3*(j + -20) and -71\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -16*o + 19*o. Let n = o + -13. Solve -2*q = 3*q - n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 3, r: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 3. Let r be b(3). Solve -4*o - 6 = -r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*s**3 + 204*s**2 - 204*s**2.\nAnswer: -664*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + 2*(sqrt(88) + sqrt(88)*-1))\/sqrt(11))\/(2*(sqrt(4) + sqrt(64)*1)) + 1.\nAnswer: sqrt(2)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/461159?\nAnswer: 3\/461159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1907*(248\/(-186))\/((-4)\/51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -108\/11005 (b) -2 (c) 2.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -3, -4, 0 in descending order.\nAnswer: 0, -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 999.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0 + 4. Let r(s) = 2 + 3 - 4*s**n - s**3 - 35*s + 34*s. What is the lowest common multiple of r(-4) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1700*u**2 + 42*u - 21.\nAnswer: 3400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -1\/4 (c) -5 (d) -4.59 (e) 7 (f) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10 + 10*a**2 + 4*a**2 - 11*a**2. List the prime factors of g(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0 = w + 5, -w + 5 = 0. Let u = -5 + 5.1. Let i = 5874 + -5873. Sort i, a, u, 3 in descending order.\nAnswer: 3, a, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -148661, -148724, -148789, -148856, -148925, -148996?\n\"Answer: -l**2 - 60*l - 148600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 34 = 0, -44*v - 43 = -48*v + 3*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72286 (base 13) to base 14.\nAnswer: -548a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9353513 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114*q - 185*q - 189*q - 186*q - 183*q - 179*q - 190*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + ((-10)\/(-4) - -4). Is 7 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*u**4 + 7 - 11 - 36 + 76*u**4 wrt u.\nAnswer: 204*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - k + 4*k)*(24 - 80 + 287)*(12 - 25 - 8) in the form i + l*k and give l.\nAnswer: 4851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073896 to 4 dps.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 7) to base 10.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19333170 and 21470?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*a + 520 = 0, 2*s + 165 = a + 425. Calculate the smallest common multiple of ((-5 - 39\/(-6)) + 2\/(-4))*11 and s.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let d(o) = -o**2 - 2*o + q*o. Let s(w) = 8 - 19 - 4*w + 11. Give s(d(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 407*y - 419*y + 4068. Suppose 0 = -l + 2*v - 6*v + 113, -5*v = -3*l + y. What is the greatest common factor of 339 and l?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -475887 by -158629.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 119\/102 + ((-3223)\/330 - -9). Solve -s + 1\/5*s**3 - 3\/5*s**2 + 1\/5*s**4 - f = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15.3191 in 1, 4, -0.1, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 100 = -5*q. Let b = q - 45. Let s be 5\/b - (-299999)\/1. Round s to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a + 0*a)*(-2*a**2 + 0*a + 0*a)*((-a + 0*a + 2*a)*(-a + 4*a - 2*a) + (0*a + 2*a - a)*(195*a - 90*a + 296*a) - 1 + a**2 + 1).\nAnswer: 806*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 6*t + 36 = 0. Let r be (t\/4)\/((-9)\/36). Let y be -1*(1 + 1) - -6. Solve -r*j = 2 - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -362*q**3 + 2*q**2 + 2*q + 1. Let g be (-1)\/(-2)*(48\/(-6) - -6). What is the hundreds digit of w(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**7\/7 - 7*u**4\/12 - 2*u. What is the third derivative of w(i) wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 + 0 = 0. Let q be -8 - (-4)\/(0 + 2). Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153.2*-147\nAnswer: 22520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 - 2*k - 1\/6*k**4 + 1\/6*k**3 + 9\/20*k**5 + 0*k**2. What is the units digit of x(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -41. Let g = 360 + -243. Suppose 0 = t + 3*t + k - g, -5*k - 59 = -z*t. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (-2 - 0) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f - 63*f - 16*f to d*f + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 o when four letters picked without replacement from ooyyyokkoyyk.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/42*-1 + (-36)\/(-27)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from {c: 4, v: 2, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11102222222120 (base 3) in base 8?\nAnswer: -11005134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -1.23. Let j = 4.93 + v. Let p be 5 - (0 - (-4)\/2). Put j, p, 0.2 in decreasing order.\nAnswer: j, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111864578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2. Let t(g) = -53*g + 2. Let o(h) = 2*h - 1. Let s(b) = b**3 + 8*b**2 - 7*b + 19. Let d be s(-9). Let v(f) = d*t(f) + 2*o(f). Determine v(p(i)).\nAnswer: -147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - 18 - (-12 - -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - ((12 - 15) + -5)) + -14?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53882380 or -53882379?\nAnswer: -53882379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100111?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*j + 1 - 6 + 1132*j - 28*j**2 - 561*j.\nAnswer: -28*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 76 = 4*o, 0*o + 9 = o + 2*f. Let z(u) = -3 - u**3 - 9 + 19*u + 16*u**2 - 12. Let r be z(o). Solve 0*k = 5*k - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 344 - 130 = -4*f, f + 136 = 2*a. What is the tens digit of (8 + a)\/((-4)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 0 + 0)*(-1 - 2 + 5) + r - r - r**4 - 2*r**4 - 5*r**4 + 2*r**4.\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.1168 + -0.0168. Let v = 29 - s. Let x = -2.9 + v. Sort -1, 2, x in descending order.\nAnswer: 2, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1547*a = 216*a - 62557 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -917, -1401, -1903, -2423, -2961?\nAnswer: -3517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022417054 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6567806 to the nearest integer?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**2 - 279077*j - 209310 = 0.\nAnswer: -3\/4, 69770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(3\/4). Suppose -5*m = -0*m + 3*d - 38, 4*d = -a*m + 18. Let b = m + -2. Solve -16 - 6 = b*u - 3*v, 4*u = 4*v - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-51)\/17)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212 (base 6) to base 5.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78324 at least 78322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j + 4*u - 69, -2*u = -5*j + 63. Let l(h) = 5*h + 3. Let i be l(-2). Let p = i + j. Calculate the least common multiple of 3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldddlllvddvvllddlvdl. Give prob of picking 2 d, 1 l, and 1 v.\nAnswer: 896\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/3 + 4288*x\/3 + 6895364\/3 = 0.\nAnswer: -1246, 5534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -171618.5.\nAnswer: 514855.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 106303.08 months?\nAnswer: 88.5859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69, 71, 75, 81, 89?\n\"Answer: q**2 - q + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -4*r + 4*a, 520 = 3*r - 536*a + 562*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 366 + 4?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -52. Suppose 638 = 2*z + 3*i + 130, z - l*i - 247 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -10*a + 20. Let h(l) = 3*l - 6. Let s(q) = 7*h(q) + 2*i(q). Let r be s(6). Suppose 4*y - 7 = 3*y. Solve y*o - r*o - 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bc7 - -333d?\nAnswer: 5126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 2*m = -6, 0 = -5*m - 20. Let a(t) = t**2 + t + 3. Let w be a(k). Solve 20 = -5*f, -w*q - 3*f - 30 = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1081 divided by 29?\nAnswer: -1081\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -174.99776. Round v to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123156012*h + 193714807 wrt h?\nAnswer: -123156012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12881 is divided by 4291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77792*m**2*u*z**2 + 249*m**2*u*z + 3761*m**2*z - 5*z**2 wrt z.\nAnswer: -155584*m**2*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 5*i - 3. Let b be q(3). Is (-411)\/b + (-1)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + 0 + sqrt(68) + (-1*-2*sqrt(68) - sqrt(68)) + ((1 + sqrt(68) + sqrt(68))*-1)**2.\nAnswer: 12*sqrt(17) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2284 * 620.3.\nAnswer: -1416765.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-23010)\/778800 - 3\/(-40)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6157 + 5?\nAnswer: 6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 534*l - 533.\nAnswer: -(l - 533)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*h - 2*y, 0 = -y + 2 - 0. Suppose -t = -4*n + 2*t + 29, -h*n + t + 39 = 0. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 + 3.4. Which is the second biggest value? (a) 0.5 (b) q (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -2135.\nAnswer: 9\/2135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152277157, 152277148, 152277139?\nAnswer: 152277130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27465 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 + 102*x**2 + 839*x - 29. Give t(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 114*n + 2146. Let d be r(-130). Calculate the highest common divisor of d and 13992.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 22*n**2 - 4*n - 6*n + 13*n + 4. Let w be s(-1). Solve w = -5*x + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = 146. Let q = o + 186. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -248 + -38557?\nAnswer: -38805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose 6 + c = 3*j. Solve -5*t + 3*o + 9 = 0, t = -j*t + 5*o + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1020 + 18353\/18. Calculate the common denominator of ((-5)\/15)\/1 + 274\/(-12) and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 10*p**2 - 23*p + 10. Give z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1080 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - t = -178, 110 = -3*v + 6*v - t. Calculate the highest common divisor of 162 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 10533926\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*y - 57*y - 45950 + 47731 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72863 and 882.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 18 = -q + 1, 0 = -t - q + 1. Let b be 4\/(-6) + 107\/t. Let i = 7 + -2. Calculate the highest common factor of i and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -70, -99, -128?\n\"Answer: -29*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2185933 divided by 29\nAnswer: 75377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(8\/(208\/13)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7778.\nAnswer: 2, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -65, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1131*g - 5642. Calculate s(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3.0504.\nAnswer: 1.22016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 4*o**2 + 5*o + 3. Let i(z) = -z. Let v(q) = 6*i(q) + n(q). Suppose 0 = 4*l - 0 - 72. What is the remainder when v(-5) is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126229 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3506, -28050, -94670, -224402, -438282, -757346, -1202630?\nAnswer: -1795170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28856 + 28855.9. Which is the nearest to n? (a) -0.013 (b) 0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67\/5? (a) 5 (b) 60 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*r - 258, 2*r - p - 3*p = -160. Find the common denominator of (r\/18)\/(22\/(-6)) and -50\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h + 19*h - 4*g - 60, 2*h - 3*g = 95. What is the remainder when 4\/6*-3 - -200 is divided by h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 15*b + 21. Calculate m(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 774544 (base 13) to base 2\nAnswer: 1010101101101101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdgd when four letters picked without replacement from {d: 13, r: 1, g: 3}?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6.4. Suppose 0 = -36*j + 37*j - 3. Let t be (-7 - -6) + j + (-42)\/22. What is the closest to 0 in t, 1\/5, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 45*b**2 - 21*b + 17. Let t be g(22). Round t to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29575911 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 383, 768, 1141, 1496, 1827?\n\"Answer: -g**3 + 392*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 36*o = -28*o - 27*o + 700 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1009*d**2*p + 6*d**2 - 23*d - 405313*p - 1 wrt d.\nAnswer: -2018*d*p + 12*d - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384246720 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1227996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19572599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3291 + -3250. Which is the closest to l? (a) -0.2 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69380846 to the power of 1\/2, to the nearest integer?\nAnswer: 8330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -27537.4 to the nearest one hundred.\nAnswer: -27500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2059*p + 2058*p, 5*c = -p - 303 - 53 for c.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 40 = 0. Calculate the least common multiple of s and 20\/(-45) - 202\/(-9).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 43.6. Let n be (-2)\/(-7) + (-160)\/70. Let v be n - 11*3\/(-12). What is the closest to -1 in 3, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12480442 minus 28?\nAnswer: -12480470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041577739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, 1\/53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9075 a factor of 943720686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 less than or equal to 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, 12, 976?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 12:53 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 1184?\nAnswer: -1180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -145*n + 3. Let a(z) = 72*z - 1. Give -5*a(l) - 2*p(l).\nAnswer: -70*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 656 - bd?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5858 less than or equal to 4724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1.7, -3.2, -25, 0.2?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 - 3*b + 1. Let l(j) = 2*j**2 + j - 1. Let p(v) = -2*k(v) - 5*l(v). Factor p(h).\nAnswer: -(h + 1)*(2*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a + 2*t + 6 = 0, 0 = 2*a + t + 8. Let u = -2 - a. Suppose -2*m - 3 = u*f, -f = 3*f - 4. Let j(g) = -g**2 - 2*g + 3. Determine j(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*b - 65 + 1951, -4*b - 9400 = -5*j. Calculate the highest common factor of j and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -521*h**3 - 7*h**2 + 14*h + 24. What is the units digit of g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -51*k - 22. Let b(u) = -108*u - 51. Calculate 6*b(g) - 13*x(g).\nAnswer: 15*g - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 - 3*l**4 + 3*l**4 + l**4 + 21 - 22 - 2*l to f*l + z*l**4 + k*l**2 + b*l**3 + a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + y. Let u be c(1). Let b = u + -1. Let n = -56273\/9 + 6252. Is b at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 63 = -2*v - 3*r, 2*r = 2. Let m be (v\/12)\/((-3)\/27). Let s be 3*(35\/m - 0). Let d(f) = f + 12. Calculate d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:46 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = -v + u, -45 = -5*v + 5*u. Suppose 41 = 4*b - 47. Calculate the smallest common multiple of b and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*c**2 - 7*c + 2 + c**3 - 2*c**3 - 54*c**2 to the form o*c + z*c**2 + d*c**3 + v and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 21, 5, 1\/2, 9, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:46 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - 2 - (19 - -1)\/(-2). What is the closest to 1 in 0, q, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = -5*z, 4*b + 8 = 4*z - 16. Let s = b + 17. Suppose -x + 6*x - s = 0. Solve 0*n + x*n = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i. Let l be k(1). Suppose -20 = -5*v, r - 7 - l = -4*v. Calculate the remainder when 27 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -469 + 220. Let z = 279 + f. What is the smallest common multiple of z and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l - 1. Let i be x(-1). Suppose 2*j + 3 = 13. Suppose -20 = -j*n, -k - 5*n = 4*k + 5. Which is the third biggest value? (a) 4 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from yyrtsylytlrss?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1858)\/(-8) - 3\/12. Let n = -63 - u. Let f = n - -449. Calculate the highest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -6. Suppose w*r - 6 - 31 = -b, 3*r - 3*b - 69 = 0. Let u be 28\/6 - 3\/(-9). Solve -u*c = -0*c + r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110251 (base 7) in base 4?\nAnswer: 332022300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:29 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7850519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 - -353. Let z = 212 - o. Suppose -5*v = 4*i - 1, 0 = 4*v + 5*i + 1 - 9. What is the nearest to z in -3\/2, v, 10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15548164627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-24) - 2\/(-8). Let u(f) = 19*f**2 + 1. Let w be u(1). Suppose c = 5*m - 0*m - w. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.537 - 0.037. Let f = 4.93 + 0.07. What is the closest to f in -0.2, z, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 318 and 1275\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -3*y**3 - 1\/2*y**2 + 0*y - 20. Calculate x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2769108 to three decimal places.\nAnswer: 2.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52128, 50355, 47400, 43263, 37944, 31443?\n\"Answer: -591*f**2 + 52719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {y: 1, n: 1, b: 4, u: 1, s: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/215*-1)\/(22098\/(-36830))\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164337363 or 164337362?\nAnswer: 164337363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(252) - -3*(sqrt(252) - (sqrt(252) + 1))) + 5 + sqrt(252)*-1 + 5 + 3*sqrt(252)*-2)**2 + 1.\nAnswer: -360*sqrt(7) + 9098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 6 = -3*c, 27 = 3*n + 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55664440.340859 + -0.4?\nAnswer: -55664440.740859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260360 and 18952.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15 + (-184)\/(-460).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1781 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3895*g - 19136 + 20507 = 18613 + 17813 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-38)\/(-95))\/(2\/20*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 215793, 215653, 215513, 215373, 215233?\n\"Answer: -140*d + 215933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - p**2 + 4*p**2 + 7*p**3 - p**2. Let y be k(2). Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13*d**(4\/9))**19\/(d**2\/(d\/d**(-7))*d\/(d\/(d\/(d\/(d**(-2\/19)\/d)*d)))*d*d**(-1)) assuming d is positive.\nAnswer: d**(45067\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.611 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(-1\/4)*c)\/c))\/c*c)**(-1\/7)*(c**0\/c*c)**(-1\/7)*c**7*c**(-6)*c**(1\/4)\/c*((c*c*c**(-3))\/c)\/c assuming c is positive.\nAnswer: c**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Is -2*2\/l - -33 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311309 and 2509?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*49\/21 + 571. Suppose 248 = 29*v - 27*v - 4*f, -5*v - 4*f = -l. What is the smallest common multiple of 4 and v?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -36.\nAnswer: 35\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 87281123272764 and 0.1.\nAnswer: 87281123272764.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6)\/y*y)\/(y\/(y*y*y\/y**(-4\/3)*y))*(y\/((y**(1\/7)*y)\/y))\/(y*y**1))**(-1\/2) assuming y is positive.\nAnswer: y**(-47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20023 + 33?\nAnswer: -13330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 24. Let m be g(-24). Let y(s) = -1 - 2 - s - s**2 - 8 - 3. Calculate y(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*15\/6*26\/10. Suppose -v*f + 21 = -5. Solve -2*j = 3*b + 6, j - f*j = -3*b + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - (2 + 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*d - 15 = 4*w, 3*w - 5 = 4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1737, 6931, 15575, 27669, 43213, 62207, 84651?\nAnswer: 110545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39401196\/19 > 2073747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 3) + (13 - 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1120, -1448, -1776, -2104, -2432?\nAnswer: -2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/30 and -19\/1773.\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -34) + (-2 - -1). Suppose 0 = -2*j - 1 - 5, a = 5*j + 17. Solve -a*x = -5*c - o, 4*x + 13 - 49 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:24 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 211536890*n**2 + 2237392580006700*n - 4474786006161000.\nAnswer: 5*(n - 2)*(n + 21153690)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79933 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68326577\/6087 - 11225. Let j be (-65)\/(-13) + 91277\/85218. Let m = c + j. What is the common denominator of -83\/20 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 + 5*k**2 + 20*k**2 - 256 + 126.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48425 is divided by 653.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27533723 divided by -27533723\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5103778 + -17573058. Let c = -12469275.9999976 - f. Let o = 4 - c. What is o rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a minute?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 730979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2 + -6) - (-66)\/8. Let z be (-1)\/((-7)\/((-28)\/f))*-8. Solve 8 = 4*v + z*j, -2*j - 1 = -3*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3641*o**3 - 13222*o**3 - 5364*o**3 - 80246*o**2 + 80246*o**2.\nAnswer: -14945*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-5)*(-30)\/(-18). Let a(y) = 43 + y**z - 43. Let d(i) = -i**2 + 8*i**2 + 0*i**2. Calculate d(a(p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64298967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4365 + 4*s**2 - 4412850*s**3 - 5674 - 4*s**2 + 4399988*s**3 with respect to s.\nAnswer: -38586*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086.90579 less than -0.282?\nAnswer: -2087.18779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 14 + 12)*(-2*i**2 + 4*i**2 + 5*i**2) + (-257*i + 257*i + 30*i**2)*(-1 + 1 + 1) to the form p*i**2 + k*i + d and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12815*r + 38451. Let z be l(3). Suppose g + 5*p - 21 = -2*g, -p = 4*g - 28. Solve -37 + g = -z*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o - 1. Suppose -t = -3*t + 14. List the prime factors of u(t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 20*n + 21. Let t be r(21). Suppose -2952 - 227 = -5*a + 4*b, 5*a - b - 3176 = t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 171*l**2 - 63 + (2 - 7 + 4)*(l + l**2 - l))*(-8*l - 8*l - 6*l).\nAnswer: -3740*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 70480\nAnswer: 28192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 58650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 31*m + 38 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11045154 (base 7) to base 14.\nAnswer: 1ab22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from babbabbbbbbbbabb?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + (-18 - -19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77188693?\nAnswer: 77188693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**4 - 2*t**2 - t + 15 + 3*t**4 - 13 + 4*t**2 to l + d*t**2 + v*t + u*t**4 + o*t**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/51300*-57)\/((12\/45)\/(-2)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2860177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Let o = 0 - x. Let u = 224 - 208. What is the least common multiple of o and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*s + 134, 4*s - 30*z - 144 = -32*z. What is the highest common factor of s and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w - 405 + 405 + 464*w.\nAnswer: 430*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**0))**7\/(r**(-2\/7)*r**(-6)*r) assuming r is positive.\nAnswer: r**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1215, -3, 28 in decreasing order.\nAnswer: 1215, 28, 14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36112.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 7. Let h = -11 - -21. Does 13 divide r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 108*h - 1074. Let n be d(-97). Put n, 3, 0, -36 in decreasing order.\nAnswer: 3, 0, n, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118748956901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -2*g**3\/3 - 3. Let y(u) be the first derivative of 0*u**2 + 9 + 17\/3*u**3 + 0*u. Give n(y(b)).\nAnswer: -578*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(((-1771)\/88)\/(-23))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**3 - 11*o**2 + 5. Let x(n) = -5*n**3 + 6*n**2 - 3. Let l(c) = 4*d(c) + 7*x(c). What are the prime factors of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227449 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 630 + 296 = 0. Suppose -t = -3*g + 7, -3*t + 27 = 4*g - g. Suppose -5*z - 2270 = -t*o, -2*o + o - 2*z + i = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:42 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.57 times -27?\nAnswer: -1014.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, b: 12}. Give prob of sequence bebb.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 9*v**2 - 151*v**3 + 15*v**2.\nAnswer: -151*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8. Let z(y) = -y - 1062. Determine 5*w(v) + z(v).\nAnswer: -v - 1102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, g: 7, e: 8}. What is prob of sequence eg?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 35*n - 30. Let l be d(-6). Suppose -l = -9*q + q. Solve -4*o - q - 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39171 + 39174. Suppose 0 = 5*z + 2*k - k - 101, -4*z - k + 80 = 0. Let r = 4 + -3.5. Which is the nearest to z? (a) i (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 + 76 - -24) + -11 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-39) + (-192)\/(-416)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*l + 2 = 0, 0 = -s - l + 42 - 36 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 24. Let c = 19 + v. Suppose -4*a = c*w - 330, a = w - 6*w + 74. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 5*d + 0*d + (-5 + 32 + 18)*(-18 + 18 - 21*d) to g*d + f and give g.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 135480 divided by -9032\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 9*s**2 - 16*s - 12. Let o be v(-7). Suppose -4\/3*a - 2\/3*a**o + 0 + 2\/3*a**3 = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {o: 4, e: 4, m: 1, p: 4, x: 1, g: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -63?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*s**2 + 134*h**2*s + 99343*h + s**2 + 55730036 wrt h?\nAnswer: 4*h*s**2 + 268*h*s + 99343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37 times -45948?\nAnswer: -62948.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 6*z + 7. Calculate c(-14).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1235 - 0?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {g: 9, u: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 359632168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**3\/3 - 9*o**2\/2 + 2*o + 4. List the prime factors of u(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -4\/5, -0.3, -93, 5, 2\/9 in descending order.\nAnswer: 5, 2\/9, -0.03, -0.3, -4\/5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -465015 (base 9) to base 14\nAnswer: -73a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i + 25 = 0. Let w = i + 0. Let u = -2362 + 2361.5. Which is the closest to w? (a) 4 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8669 >= 8663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 17 + 15 + -50 + 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.29*-4652.\nAnswer: -66477.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.104 + -0.1. Let q = -21.95 + 19.954. Let s = q - v. What is the nearest to -2\/3 in -4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 664850766 divided by 2\nAnswer: 332425383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 2 + 23*1. Let f = -14 + a. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041292963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, -4, 1, 0, -320, -3 in descending order.\nAnswer: 17, 5, 1, 0, -3, -4, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*t**2*w**2 - 4*t*w**2 + w**2 - w with respect to t.\nAnswer: 48*t*w**2 - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 4 + 6*x + x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-5))\/(3\/15). What is the derivative of 3*n**2 + l*n - n - 2*n - 9 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - (-2 + -4*sqrt(13) + sqrt(13))**2) + -2.\nAnswer: -728 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1096 + -1111 + 0 + 7 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12469003310 minus 0?\nAnswer: -12469003310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*f - 249, h - 14 = -f + 36. Let y = f - 97\/2. Factor 2*x**2 + y*x**3 + 1 + 5\/2*x.\nAnswer: (x + 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-1 + 2)*1). Suppose 4*b - 3*a - 20 = a, b + 3*a + c = 0. Solve 14 = b*z + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51561 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*(3 + 133\/(-21)). Suppose 2*u + 2 = -5*s, -2*s + j*u = -s - 5. Solve 4*k + 4*o = 2*k + 4, 5*k - o + 23 = s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-7))\/n*n)**27*n**(-40)*n*n**9 assuming n is positive.\nAnswer: n**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*w = 11 + 26, -2*w = -t + 13. Let h be 2 - (2\/4)\/(5\/(-10)). Solve t*s + h*d + 3 = -7, 5*d + 26 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 3*v - 2*v)*(4 - 1 - 1) + (14 - 5*v - 14)*(-5 + 4 + 2) to h*v + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 33796 = n. Let f = n + -126818\/15. Calculate the common denominator of -7\/15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*w**4 - 3*l*w**2 + 35*l - 28*w**6 - w**3 wrt w?\nAnswer: 48*l*w - 3360*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733862659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (5907\/(-30))\/(-11) - (-13)\/130 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**11\/q)\/q))**(-25)\/(q\/(q\/(q**8\/q*q*q)))**40 assuming q is positive.\nAnswer: q**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 4*v - 4*v)*(-2*v + 4 - 4)*(-619 + 301 + 300 + 23*v) in the form o + w*v**2 + k*v + d*v**3 and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -428eb4 (base 16) to base 3\nAnswer: -22012121102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572089000*p + 3*p**2 - 572089000*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00824374 to 5 dps.\nAnswer: -0.00824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + (-1)\/((-9)\/44184) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166335.2 micrograms in nanograms?\nAnswer: 166335200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -3*d**2\/2 + 3*d + 84. Determine t(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -0.3, 4\/3, -0.05, 198\/37?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-4\/3))\/(d*d**8) assuming d is positive.\nAnswer: d**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(10\/4))\/(12\/(-24))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*u**2 + 10*u**3 + 688*u**2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 12:12 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -441?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, 39, -2183 in ascending order.\nAnswer: -2183, -5\/8, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven fifths of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1700)*-2*1 - 2*sqrt(272)*-2).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 3036.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3632?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226926468.\nAnswer: 2, 3, 1087, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -580, -0.4, 235, 3\/5.\nAnswer: -580, -0.4, 3\/5, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190 + 268. Let l = i - 59. What is the smallest common multiple of (9 + l)\/(0 - -3 - 1) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*l + 112*l = -62234. Does 46 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2 + (-4 - 1 + 0)*(-4 + 2 + 4) + (2 + 3 - 2)*(-2 + 3 + 1))*(2*w**5 + 0*w**5 + w**5).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.2, -2\/11, -0.2, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*z - 216, -2*b - 3*b + 295 = 5*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 2*m**2 + 0*m**2)*(-4 + 0 + 1)*(-4 + 2 - 3)*(-63 - 75*m + 63) as p*m**3 + v + f*m + q*m**2 and give f.\nAnswer: -2250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -137 + 56. Suppose 5*m + 4*i - 14 = 0, 3*m + 0*m + 4*i = 10. Suppose 0 = m*k + 3*k - 15. What is the greatest common factor of o and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 0*k**3 + k**5)*(1 - 3 + 0) + 5*k**4 - 3*k**5 - 5*k**4 + k**5 + 0*k**5 + 0*k**5.\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66.7 or 2696?\nAnswer: -66.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346 - -354. Solve v*n - 4*n - 8 = 2*t, 2*n - 3*t = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*n = x + 12, 3*n = 5*x + 19. Let r be (1 + -2)*(2 + x). Suppose 1 + 11 = r*v. Calculate the least common multiple of 3 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*s - 334*s = -387*s + 10240 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/(-2))\/(9\/(-3738))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 - 64. Suppose -6 = -2*a + 26. Let g = 19 - a. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836618 is divided by 186?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -46 in decreasing order.\nAnswer: 4, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/32*(-2)\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3))\/((-462)\/1134). Is o <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 5 + 336\/(-49). What is the closest to 1 in 1\/6, o, -1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five quarters of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*h. Is h\/(-4) + ((-4487)\/(-14) - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 54*m - 112*m + 58*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 76050*p**2\/7 + 780*p\/7 + 2\/7 = 0?\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 604491 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: -0.0597 + -47\nAnswer: -47.0597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 39368.9 to the nearest 100.\nAnswer: 39400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14475676 - 19?\nAnswer: -14475695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39065\/(-2275) + 17 + 0. Which is the biggest value? (a) p (b) 0.2 (c) -0.3 (d) -0.1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 216 = 213. Let v(x) be the first derivative of -3*x + 0*x**3 + 0*x**2 + 0*x**4 - 1\/5*x**5 + y. Differentiate v(g) wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-49)\/(-4) - (-6)\/8. Let y = d - 7. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 24 + (-19 + -1 - -41)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 288, -3642?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*j + 590 = -109*j. What are the prime factors of j?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 10*c + 6*c as j*c + k and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l*l*l\/(l*l**(2\/55)))*l*(l\/(l*l**(7\/6))*l)\/l)\/(l**(-15\/8))**(-5\/7) assuming l is positive.\nAnswer: l**(4901\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-12) + (-46)\/(-12). Let p be ((-9)\/2)\/(3\/y). Let x be (-2)\/p - 28\/30. Which is the third biggest value? (a) 0.1 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.80017 millilitres to litres.\nAnswer: 0.08180017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2110 and 2580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/2)\/n)\/n**(3\/4))**(-35))**48 assuming n is positive.\nAnswer: n**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 t when three letters picked without replacement from tqtqqtqttti.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 1.983941.\nAnswer: -0.15871528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Suppose 1 = -5*w - 14. Let o be (-90)\/24 - (-1)\/(-4). Sort o, w, g in increasing order.\nAnswer: o, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4\/z*z**(-7)*((z*z**(-2\/9)*z*z)\/z)\/(z\/(z\/z**(-1))) assuming z is positive.\nAnswer: z**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2 + 3*d. Suppose 2*o + 5*h - 14 = 0, 2*h + 0 = 4*o - 4. Suppose 76 = 2*a - 4*l, a = -o*a - 2*l + 82. Let c(u) = 36*u - 67*u + a*u. Give s(c(x)).\nAnswer: 6*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39162.\nAnswer: 2, 3, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*h = 18331, -5*v + 104*h = 108*h - 91697. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3305 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 97*i**2. Let a(b) = 80*b**2 - 8*b - 19. Calculate a(f(k)).\nAnswer: 752720*k**4 - 776*k**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000360267 rounded to seven dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*d = 10. Let t(o) = o**3 + 8*o**2 + 5*o - 2. What is the tens digit of t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56345.23l to millilitres.\nAnswer: 56345230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*b + 853 = -6062 - 23689 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 + (-5068)\/(-2715).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*a + 13*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 38 = 3*w, -4*w = -w - 3*b - 3. Find the common denominator of 55\/8 and (11*(-28)\/w)\/(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -4*l + 3*f - 1511, -5*l = 2*f + 1270. Let v = -149 - l. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12182, -24331, -36436, -48479, -60442, -72307, -84056?\n\"Answer: 3*h**3 + 4*h**2 - 12182*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34014.925 rounded to the nearest 100?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 2*u**2 - 2*u)*(4*u + 2*u + 0*u)*(0 + 2 + 0).\nAnswer: -24*u**3 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*v**2 - 32*v**3 + 6*v**2 + 187*v**3 - 55*v**3 - 52*v**3 as q*v + p + y*v**2 + w*v**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 - (-492)\/451*147.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10314 + -10311. Sort -1, w, -1\/3, -25, 3\/8 in ascending order.\nAnswer: -25, -1, -1\/3, 3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(2\/(-4))*1. Sort d, 26, 1 in increasing order.\nAnswer: d, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -5\/2, 26 in decreasing order.\nAnswer: 26, -2, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/122 and 53\/91?\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -135 - 185. Suppose 16*t = 127 + 385. What is the greatest common factor of t and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 418, -2, 3, 0, 39 in decreasing order.\nAnswer: 418, 39, 6, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 - 2*k**2 + k**2 - 2*k**3 + (-3 + 3 - k**2)*(-3 + 3 + 2*k) - 20*k**3 - 27*k**3 - 8*k**3 in the form z*k + r + i*k**2 + x*k**3 and give x.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*n + 148. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16179\/10 - 1616. Calculate the common denominator of z and 39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -638144421\/115 - -11098207\/2. Let v be 17065\/575 - (-1)\/(-5). Let g = z - v. Find the common denominator of 9\/74 and g.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31208898*m - 54908112*m + 16689694*m.\nAnswer: -69427316*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8643457 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -17. Let m = -9 - w. Let n = 2.97 - m. What is n rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2 - 36\/(-20)). Differentiate k**3 + c*k**3 + 10*k**3 - k**4 + 16 with respect to k.\nAnswer: -4*k**3 + 63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -253 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 173710*r**2 - 1509799925*r - 18092593500.\nAnswer: -5*(r + 12)*(r + 17365)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 1, w: 1, o: 4, x: 3, l: 2}. Give prob of picking 1 o and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/10)\/((-8)\/(-20)). Calculate the remainder when p\/3 - 2380\/(-30) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3969 + -2448. Suppose 262 = d - n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584012927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.1 + 11. Sort w, 1\/2, 1\/5.\nAnswer: w, 1\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/5, 5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(132)\/(sqrt(60)\/(sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 6943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 3*y**2 - 3*y**2)*(135 + 4*y - 135).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 + -1112011011?\nAnswer: -1112001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -236, -236, -234, -230, -224, -216?\n\"Answer: o**2 - 3*o - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/44 and -43\/26825.\nAnswer: 1180300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/175*14\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 2*z + z - 2 + 3*z + 2 + (2 - 6 + 3)*(4*z - z - 2*z))*(-3*z**2 + 0*z**2 - z**2) to the form w*z + b + m*z**3 + x*z**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -35 * -0.06\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**3 - 3*r**2 - 11*r - 8. Let x be n(-1). Let p(m) = -4*m - 15. Let t(d) = -d. Let f(k) = -p(k) + 3*t(k). What is f(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939367 + 595206 = 19*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0 + 5\/24*n**6 - 1\/4*n**4 + 0*n**3 + 0*n + 0*n**5 - 19*n**2. What is the second derivative of b(w) wrt w?\nAnswer: 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-4176)\/(-608)) - (9 + -2 - 3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-27) + 3246\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12949*c - 3520 = -6471*c - 6638*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:41 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19552445?\nAnswer: 5, 11, 355499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -650, 3\/19, 2\/3?\nAnswer: -650","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 - 256. What is the closest to 2\/7 in -4.1, -3\/8, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 28 = -2*w. Let r be 57\/(-38) + (-114)\/w. Which is smaller: r or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3993)*-2 + sqrt(3993) + sqrt(3993) + sqrt(396)\/((sqrt(12) - (-2*sqrt(12) - sqrt(12))) + sqrt(12)))\/(-2*(-1*sqrt(432) - sqrt(432))))**2.\nAnswer: 11\/57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 2 = 3*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.171 and 0.1.\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-75)*-5 - 136\/(-10). Find the second derivative of t - 30*p - 8*p**5 - p**4 + 28*p - 11 wrt p.\nAnswer: -160*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711631.\nAnswer: 29, 53, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 2 = 5*q - b, -3*b = -9. Suppose -4*y + 5 = 1. Let g = y - 1. Put q, -4, g in increasing order.\nAnswer: -4, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -538 - 50*c**2 + 4*c**6 + 119*c**6 - 531 + 1071 wrt c?\nAnswer: 14760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 298424187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31273, -62499, -93657, -124747, -155769, -186723?\n\"Answer: 34*i**2 - 31328*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = 5*m + 40, -2*l = -m - 5. Let f(t) = -55*t**2 - 11*t - 11. Let v(q) = 27*q**2 + 5*q + 5. Determine m*f(n) - 11*v(n).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -5. Let p = 7 - s. Let q = -15 - -16. Sort q, -1\/4, p.\nAnswer: p, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.306215907 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61977 + -429966\/7. Let g = 555 - z. Calculate the common denominator of g and (-43)\/(-4) - 4\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.36 + 5.2. Let c = o - -3.5. Round c to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2460 divided by 5.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 6. Let o = s + 2. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + y. Let j(w) = -6*w**2 - 14*w + 24. Calculate -j(z) + 4*t(z).\nAnswer: -2*z**2 + 18*z - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549899305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*t - 18, 48*t + 2 = 46*t. Solve 18 = z - o*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**6\/30 + 221*r**5\/15 + 445*r**4\/6 + 446*r**3\/3 + r**2 - 45*r. Suppose s(w) = 0. What is w?\nAnswer: -1, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30147, -60428, -90709, -120990?\nAnswer: -151271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from mgwomwwowmwmwo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 23. Suppose 0 = -4*m - 3*g + 612, 5*g + 765 = k*m + 3*m. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 25 + 25)*(3 - 2 + 1) + 112*l - 132*l + 363*l in the form k*l + m and give k.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7101602279 + 0.8.\nAnswer: -7101602278.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194111 is divided by 288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 + -165.49. Let y = -1.49 - i. Which is smaller: -6.7 or y?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6837627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1531587\/810964 + 125\/5266. Let z = i + -24\/385. Find the common denominator of z and -85\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 7. Let a be h(8). Suppose -16*d + 28 = -2*d. Solve -3*b + 5*i = 16, 2*i + a = -d*b + 5*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3661\nAnswer: -5\/3661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:16 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3720 = -198*b + 168*b. Calculate the remainder when b is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1832908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:28 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -377. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 22. Let b = i - -15. Find the second derivative of -w + 2*w**b - w**2 + w**2 wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(175) + 1))**2 - sqrt(175).\nAnswer: 5*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-12)\/(-100)*385\/(-77)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) 3 (c) -3\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 264\/36 + -14. Which is the second smallest value? (a) 3 (b) -0.3 (c) -5 (d) y (e) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1\/6, 0.2, -5, 304?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 2, o: 4, d: 7}. What is prob of picking 1 c and 1 d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146832 is divided by 2294?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*g = -430*g + 4*v + 23, 5*v = -3*g - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*60\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*6033\nAnswer: 3016.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12407309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3\/8))\/(r**28*r) assuming r is positive.\nAnswer: r**(-219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-5) - 2\/5. Suppose 14*y - 19 = 23. Let i be (8\/(-6) + 2)\/(2\/y). Sort i, 0, k.\nAnswer: k, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-35))\/((-4)\/56))\/((-2)\/30)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 8\/339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from pppuppppupppupuppp.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.023? (a) -2\/21 (b) 3 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -27620000 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 6\/(1 + 2). Let b be ((-4)\/8)\/(n\/4). Let q(y) = 6*y**3 - y + 1. Let p be q(1). Which is greater: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224.9 + -240.9. Is r >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 60 - 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8879782 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3040)\/2090)\/((-2)\/(-22))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -627, 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - -1*sqrt(168)\/sqrt(4))\/(sqrt(162)\/sqrt(3) + sqrt(6)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 17*n + 21. Let y be g(3). Let c(j) = -j**3 - 3*j**2 + 3. Let l be c(-6). Let h = y + l. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119544 and 302376.\nAnswer: 5140392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 5*n - 2. Let w be m(4). Suppose 3 = 2*g + g - w*b, 5*g - 12 = b. Find the second derivative of g*j**5 - j + j**5 - 2*j**5 wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114001959 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 4. Let g = -1 + -3. Let y(q) = -6*q + 12. Let t(u) = g*y(u) - 11*i(u). What is the derivative of t(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from xfxff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -242d - 1?\nAnswer: -2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -6 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*l = 38, 9*l = h + 7*l - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55858890737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 163.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 q when four letters picked without replacement from qqffqqqqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*h - 25, 5*h + 2 = 5*k - 3. Let y be ((-1)\/1)\/((-2)\/k). Suppose -5 = -2*j - 7*z + 6*z, 5*z + 31 = 4*j. Sort y, j, 1 in descending order.\nAnswer: j, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10649, -21197, -31739, -42275, -52805, -63329, -73847?\nAnswer: -84359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(684) + 1) - -6*(sqrt(684) + -1))*-2*-2)**2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 3*m - 3*m + (0*m + 2*m + 2*m)*(-3 - 12 + 4) as r*m + n and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(31\/(-279) - 38\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.5 less than -23?\nAnswer: -77.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1103, 1099, 1093, 1085, 1075, 1063, 1049?\n\"Answer: -o**2 - o + 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2143 (base 8) to base 12.\nAnswer: -797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 6153*b + 1. Let y(u) = -u**2. Determine l(y(z)).\nAnswer: -3*z**4 - 6153*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-1)\/sqrt(3).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Let h = -3 + r. Which is the nearest to h? (a) -3\/4 (b) 1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252027 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75387?\nAnswer: 3, 13, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 158*h**2\/7 + 310*h\/7 + 22.\nAnswer: 2*(h + 1)**2*(h + 77)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 380*p**4 - 8388*p**3 + 32348*p**2 + 88360*p + 48000 = 0. Calculate p.\nAnswer: -50, -48, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -316769, -633539, -950309, -1267079?\n\"Answer: -316770*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025909272.\nAnswer: 2, 128238659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, s: 2, b: 8, m: 2, k: 2}. What is prob of sequence msbq?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = 3*b, -b + q = 2*b - 23. Let f = 16 + b. Let i = 56 + -14. Calculate the remainder when i is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*h*p**2 - 5*h - 3*p**2 + 795 with respect to h.\nAnswer: -21*p**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 922*g**2\/15 - 17566*g\/15 + 304\/5.\nAnswer: 2*(g - 19)*(461*g - 24)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 166*i**3 - 4*i**2 - 6*i + 20. What is the thousands digit of n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7*m - 4*t + 20 = 0, 3*t = 3*m - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 2, a: 3, k: 4, z: 2, v: 2}. Give prob of sequence ivzk.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321333 (base 6) to base 4.\nAnswer: -101303121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/(3*(-2)\/(-60)). Let m(z) = -z**2 - 255 - 7*z - 5*z**3 + n + z**2. Is m(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 15*z = -50. Let a(b) = 3*b**2 - 6*b. What is the remainder when a(z) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7107*v + 2110780. Determine m(-297).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*j - 7 = 147, -20 = 4*j. Let m = -23 - f. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 35 - 41. Solve s = -0*s + b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23987110\/189579 - 174\/4861. Let s = 379\/3 + l. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**3*t**3 - 2*h**3*z**3 + 23*h**3*z**2 + 11*h**2*t**3*z**3 + 4*h**2*t*z**3 - h*t**3*z - h*t**2*z wrt h?\nAnswer: -18*t**3 - 12*z**3 + 138*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 1. Let n(y) = -5*y. Let q(d) = -7*n(d) - 6*s(d). Determine q(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 13 = -4. Suppose -4*d + g*i - 47 = 0, -i - 4*i - 15 = 0. Let y be (17 - -1)*(-63)\/d. Calculate the highest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 0.033152.\nAnswer: -0.0364672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 415 + -413. Suppose 0 = -a*m + 3410 + 156. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eele when four letters picked without replacement from {l: 3, e: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440450 and 990.\nAnswer: 1440450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*d + 19, 2*d = 4*d + 3*n - 5. Solve -d = -m + 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/5)\/d*d**0 assuming d is positive.\nAnswer: d**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53071872 is divided by 1125?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:39 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c = 2755 + 645. Calculate the greatest common divisor of c and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -438 and -2184\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 - 106.9. What is the nearest to q in 0, -4, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.83 less than 6.5?\nAnswer: 13.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 - 5*b + 9. Let c(p) = p**2 + 1. Let t(j) = -4*c(j) + s(j). What is t(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 4*r**2 - 3*r. Let w be (-1 + 3)\/((-2)\/(-8)). Suppose d + d - v = -w, 0 = 5*v. Let c(n) = 3*n**3 - 5*n**2 - 4*n. Give d*p(y) + 3*c(y).\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 335951 divided by 2\nAnswer: 335951\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*(-162)\/63*(-63)\/18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3 - 1 - 4*c + 4 + 12. List the prime factors of x(-10).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + -0.01000128. What is d rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**10*((k*k**4)\/k)\/k*k*k\/((k\/k**9)\/k)*k\/k**(-14\/9)*k assuming k is positive.\nAnswer: k**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m - 0, 3*v + 13 = 4*m. Let i(x) = -x**3 - 3*x**2 - 2*x - 1. List the prime factors of i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2236 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*u, 3*u = o - 295 - 8. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 3*c**2 - 2*c - 4. Let v be q(-3). List the prime factors of v\/(-4)*-8 + 41.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1.6 (c) 39.1 (d) 1676\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 435\/(-174) - ((-117)\/(-14))\/(-3). What is the closest to 2\/3 in a, -1.1, 109?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + 7.6. Let y = -9.9999956 + t. What is y rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261494948 and 78.\nAnswer: 784484844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 58, -12806 in descending order.\nAnswer: 58, -3, -12806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7)*-3 + -2 + (sqrt(567) + -4)*6)*4.\nAnswer: -104 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, 1\/6, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/(-12) - 19\/(1368\/(-96)). What is the nearest to u in 0.2, -0.3, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*5*sqrt(162) + 5 + 2 + sqrt(162))*-3)**2.\nAnswer: 35154*sqrt(2) + 1401579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i**2 - 1558970*i**3 - 5*i + 1558967*i**3 + 2*i + 3*i.\nAnswer: -3*i**3 - 32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 67. Calculate d(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*d + 1. Let w(p) = 3*p**2 - 2*p - 2. Does 29 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4068 divided by 36?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 3\/8 (b) -4\/9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 16 (c) 2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8 and 19794.\nAnswer: -75217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvviiimimllmlmi. What is prob of picking 1 l and 3 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 533*z**2 + 2882*z - 1457. Find the first derivative of r(l) wrt l.\nAnswer: 1066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1246801, -2493601, -3740401, -4987201, -6234001?\nAnswer: -7480801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2583 and 6601.\nAnswer: 59409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -554, -559, -564?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 3*m**2 + 5*m. Let u be w(4). Suppose 0*c + 144 = u*c. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/3*(-96)\/1440?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*r**2)*(-3*r + 5*r - 4*r) - 7*r - 194*r**2 + 3*r**3 + 194*r**2 to s + c*r**2 + v*r**3 + i*r and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 2*h**3 + 2*h**3)*(-3*h**2 + 2*h**2 + 0*h**2) - h**5 + h**5 + 8*h**5.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.03843, -4\/5, 0.3, 1\/43, 2, 8?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:45 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -75*j - 742. Let l be s(-10). Solve l = z + x + 6, x + 2 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r, -4*r = 2*a - 8 - 14. Calculate the greatest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3, 6*g - 5*g = -3*z + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1910910 = i + 2*d, 3821802 = 2*i + d. Let j = i + -14310900. Round j to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 2*c + 11. Let y(m) = 6*m**2 + 5*m + 31. Give -8*l(g) + 3*y(g).\nAnswer: 2*g**2 - g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 + 30122466?\nAnswer: 30122365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 3*g)*(-3*g - g + 2*g) + 46*g**2 - 66*g**2 - 58*g**2.\nAnswer: -74*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -630. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*x**2 - 304*x - 8 = 0 for x.\nAnswer: -2, -2\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -88098 divided by -6\nAnswer: 14683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, f: 5, t: 2}. What is prob of picking 4 f?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*c = -25, 2*c = 3*w + 3*c - 8. Suppose -t - w = -5. What are the prime factors of 0 + 0 - (-51 + (3 - t))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9158 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 120?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - ba8b?\nAnswer: -ba8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-44)\/(-10)*(-65)\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.02 (b) -454 (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let b(c) = -c**3 + 4*c**2 + 2*c + 1. Let n be b(o). Suppose -2*t = -4 - n. Calculate the least common multiple of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -387, -8, 0, -1 in ascending order.\nAnswer: -387, -8, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 3}. What is prob of picking 1 a and 3 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from rgrrrgrrr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 7134452 = 21*l - 28394201. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 65*m**2. Let l(o) = o - 1. Let h(z) = -2*z + 3. Let k(d) = -d**2 - 17*d - 41. Let j be k(-14). Let u(f) = j*h(f) + 3*l(f). What is u(x(r))?\nAnswer: 65*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107*a**2 - 595*a**2 - 85*a**2.\nAnswer: 427*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4146336 and 7776.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (3 - 0)*-1 + 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 48*m**2 - 2295*m + 110165. Calculate b(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*51\/((-2295)\/(-45)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 8:24 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14332, -14283, -14198, -14077, -13920, -13727?\nAnswer: -13498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1214510 divided by -3355.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*3*-2. Let h(q) be the first derivative of 4 - 1\/3*q**3 + 1\/4*q**4 - 2*q - 1\/2*q**2. Determine h(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.7, -0.1, 0.01, 0.6, -0.24?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 56293 divided by 88\nAnswer: 56293\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(288))*4 - sqrt(288))**2.\nAnswer: 288*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from nqqqnnqqnqcqcq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1694 - -1694. Solve j = -4*z + 5*i + 2 + 25, 0 = -2*z + 2*i + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -6, -33, -82, -159?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182583 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 13. Let i be p(-10). Let l be 294\/(-18) + 4\/(-6). Let f = l - -12. Sort f, 4, -4, i in decreasing order.\nAnswer: 4, i, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5357?\nAnswer: 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1, -5 in descending order.\nAnswer: 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 20*u + 12. Let t be g(9). Let l(m) = -m + 7. Let z be l(t). Calculate the greatest common factor of 221 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, -1, 0, -3, 2 in increasing order.\nAnswer: -126, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -561? (a) 0.8 (b) 1\/7 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -573577 + 16?\nAnswer: -573561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 0.09. Let l = -0.5 - 0. Sort l, -1, h.\nAnswer: -1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1032 and 83\/431634.\nAnswer: 1726536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146612.\nAnswer: 2, 3, 19, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j**3 + 0*j**4 + 10*j**2 - 1\/5*j**5 + 0 + 3\/40*j**6 + 0*j. Find the third derivative of g(z) wrt z.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*y**2 + 282*y - 196?\nAnswer: 4*y + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 4. Let f be a(0). Put f, 3, 0 in descending order.\nAnswer: f, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/6 + t**3\/2 - 3*t**2\/2 + 3*t. Calculate the lowest common multiple of h(-3) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*963404.66\nAnswer: 192680.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 44.09. Let p = 2 + z. Let i = -46.00000006 + p. What is i rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1425\/171 - 1\/(-6)*-2. Calculate the greatest common factor of 16 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*3*(sqrt(5) - (1 + sqrt(5))) + (1 + 2*sqrt(5))**2 + 4.\nAnswer: 4*sqrt(5) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-874 - -852) + 1 + 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1000153?\nAnswer: 1000152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 474.2 and 39?\nAnswer: 18493.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*a + 2*h - 2, -2*h = -2*a + 18. Suppose -3*u + 178 = 2*t, -a*t + 27 + 54 = u. What is the remainder when u is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4)*t)\/(t\/(t\/(t**(5\/6)\/t*t)))*(t*t*t*t**1*t*t)**(-13\/2) assuming t is positive.\nAnswer: t**(-251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29444758 - 15994758. What is s rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 + -170. Suppose u*c - 562 = 6*c. List the prime factors of c.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-992)\/(-372)*-24*(-17)\/1292\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 7*l + 8. Let d be v(6). Suppose -3*q - d*y - 3 = -7, 4*y + 4 = 0. Suppose o = -4*k + 60, q*k = 3*k + 5*o - 15. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 58. What is the least common multiple of 44 and (-5)\/u + (-8)\/(-24)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + (sqrt(19) - sqrt(190)\/(sqrt(10)*-1) - sqrt(19)) - (0 + sqrt(1900) - sqrt(2299)*3))**2.\nAnswer: 144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + -7?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*t = 0, 4*t = 10*t - 2*t - 3*t. Let p be (10\/4)\/((-1)\/(-2)). Sort y, p, -4, -1 in decreasing order.\nAnswer: p, y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597874444 to the power of 1\/2, to the nearest integer?\nAnswer: 24451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -5*j**4\/24 - j**3\/3 + 9*j**2. Determine s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.5582 days in minutes?\nAnswer: 1283843.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9281, -18382, -27391, -36260, -44941, -53386, -61547, -69376?\nAnswer: -76825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -233, -232, -231, -230, -229?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 12.9. Let i = 11 - j. Which is the nearest to -1? (a) 2 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-10) - 1\/2. Let s be (52\/(-156))\/(10\/(-126)) + (-2)\/10. Which is the fourth biggest value? (a) k (b) -0.1 (c) s (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-504)*(105705\/(-30))\/(-27).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5 - 10248*q**4 + 6614884*q**3 - 65382240*q**2 + 162817600*q = 0.\nAnswer: 0, 5, 1276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 133*r - 176. Let p(i) = 265*i - 345. Let u(v) = 4*p(v) - 9*w(v). Find the first derivative of u(a) wrt a.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1872) + 0) + (sqrt(1872) + -1 - sqrt(1872))*2 + -1)**2.\nAnswer: 288*sqrt(13) + 29961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Find the third derivative of 1 - 5*g**2 - 1 + g**n - 2*g**6 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, k: 1, m: 1, r: 1}. Give prob of picking 1 s and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*s**2 + s**3 - 797*s**2 + 268*s**2 - 7*s + 4*s**3 + 268*s**2 in the form l*s**3 + i + q*s**2 + p*s and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.0898.\nAnswer: 0.2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 26*(1 + 0). Suppose -6*s = -s - u. Suppose -3 = -s*w + 127. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 35 = -5*l, 2*j = -4*l + 8 + 10. Sort j, -402, 1 in decreasing order.\nAnswer: j, 1, -402","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01848 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 21*l - 17. Let d be f(22). Solve -r + d = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb (base 16) to base 10.\nAnswer: -459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -62. Suppose 18 - 24 = o*f. What is the units digit of (-435)\/(-4) + f\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.123 or 2\/13?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/932174 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 13) to base 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3870, -7708, -11544, -15384, -19234?\nAnswer: -23100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 40, -5, 2 in descending order.\nAnswer: 40, 2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 514 and 185024580?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211221210 + 1?\nAnswer: -211221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 795284*h**2*r**2 + 583*h**2*r - 22*h**2 - h*r**2 + h*r + h + 2*r wrt r?\nAnswer: 1590568*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -8838191.26?\nAnswer: -8838191.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*u + 1355, 2*p + 7*u = 3*u + 2714. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 2\/11, -27, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-22))\/((-14)\/77). Suppose 2*r = -m*v + 3*v - 27, 3*v - 74 = -r. What is the highest common factor of 275 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/100 + 13*d**4\/40 + 6*d**3\/5 - 3*d**2 + 21*d. Determine u, given that k(u) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486482 is divided by 97280?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7368459 and 63?\nAnswer: 22105377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4869 is divided by 163.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 12888186.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose 3*r = 2*a + 12, 4*r - 6 = 4*a + 14. Sort l, -1\/8, r in descending order.\nAnswer: l, r, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 9:36 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 397, 897, 1597, 2497, 3597, 4897?\nAnswer: 6397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*q + 33 = 91*q - 3*m, 14 = 2*q - m. Is q less than 183\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42447, 42544, 42641?\n\"Answer: 97*f + 42350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2211 (base 6) to base 10\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*v**2 + 35 + 3*v**2 + 2*v**3 + 36*v - 7*v**3 + 29*v.\nAnswer: -5*(v - 7)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/6)*h**3\/h)\/(h**13\/(h**(-5\/3)\/h)) assuming h is positive.\nAnswer: h**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*f = 146, 0 = u + 2*f - 34 - 39. List the prime factors of u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 20 = 19*y. Solve -5 - 7 = -y*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 8 = -b. Solve -3*f - b*f = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from bbbvppb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2\/3 - 20*v + 128\/3 = 0?\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 39 = -2*b - 16*w, 2*w = -b + 16. Let g(q) be the second derivative of 26*q + 0 + 2*q**b + 23\/6*q**3. Differentiate g(y) with respect to y.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*k + 43*k + 22*k + 40*k to m*k + g and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - k**4)*(-5*k - 2*k + 4*k - 2).\nAnswer: 3*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -41972*y**3 - 15*y**2 - 23*y + 5. Is g(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 12:27 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = y + 19, -y + 4*i = -3*y - 22. Put -5, -7, y in descending order.\nAnswer: y, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127333125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 - 2*o**2 + 91*o - 135. List the prime factors of m(-17).\nAnswer: 3, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21.1 and -0.097408557.\nAnswer: -21.197408557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 + -10.1. Let v = -8.2 - c. What is the third biggest value in 2\/11, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 11*m**2 + 2 - 10*m**2 - 6 - 2*m**3 - m as p*m + o*m**3 + c*m**2 + k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -8, -28, -4, -3\/2, -4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**3 + 71*l**2 - 71*l**2 + (0*l**2 - 3*l**2 + l**2)*(-2*l + 4*l - 5*l) - 3*l**3 + 4*l**3 - 3*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 17. Suppose -z = -5*d - 33, 2*z - 5*d - r = -z. Suppose -2*j - z = -238. List the prime factors of j.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 + 178. Find the common denominator of 48 and a\/((-72)\/(-183)) + 42\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a**(2\/13)))*a*a*a**(-2\/75))**(-2\/55) assuming a is positive.\nAnswer: a**(-4148\/53625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/169, -5.\nAnswer: -5, -3, -2\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 4*d + 32 = 0, 0 = -5*t - d + 22. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 18 = 29*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-798)\/(-570))\/((-2)\/(-70)). What is the third biggest value in -1\/3, -3, l, -4, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1922 + -1016. Suppose -m = 54*c - 60*c. Calculate the remainder when c is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = -7*p + 16755. List the prime factors of p.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1599 + -11 + 22\/11. Round s to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**4*z + 37096*f**2*z + 49842*z wrt f.\nAnswer: 8*f**3*z + 74192*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39976 + 40160. Which is the second biggest value? (a) 0.2 (b) 0.33 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060 divided by -5?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from dddqdqqqdddq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b3 + 18?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + (5 + -1 + sqrt(3) - sqrt(3))**2 + sqrt(3).\nAnswer: sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*z + 14 = 0, -2*k + 15 = -6*k + z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99*r*w - 3*r + 96*w wrt r?\nAnswer: -99*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k. Let t(g) = 3*g - 3. Calculate t(d(w)).\nAnswer: 27*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 153*n**2 - 189*n - 9. Let m(s) = 304*s**2 - 379*s - 16. Let i(v) = -3*m(v) + 5*p(v). What is the second derivative of i(g) wrt g?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -452 (b) -2 (c) -37 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 912, 952, 890, 618, 28, -988, -2538?\nAnswer: -4730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000100001000001 + -110000011110?\nAnswer: 10001111110000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, -2\/7, 6\/7, 3.7, 3, 0.6?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 + 517 - 60)*(10*t**3 - 2*t**3 - 21*t**3) + 5*t**3 - 4*t**3 + t**3 to the form j + h*t**3 + o*t + a*t**2 and give h.\nAnswer: -6706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3 + 185825*m**2 + 24072095*m - 24257925 = 0.\nAnswer: -37035, -131, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1422123112?\nAnswer: -1422123110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 2. Let b = q + 1. Suppose -27 = -5*c - b. Solve 0 = -3*s - 0*t + c*t + 32, -s = t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) 5 (c) -0.9421 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -28*q + 90. Solve -q*j = 4 + 50 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - ((-2808)\/(-30))\/4. Let i = m + 25. Find the third derivative of 20*g**2 + 8*g**i - 19*g + 19*g + 14*g**6 wrt g.\nAnswer: 1680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - 3*n - 2. Let q be o(-2). Let b(y) = y**2 + 7*y - 5. Let s be b(q). Suppose 4*k - 63 + s = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4475?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0331 + 0.4669. Let u = -49\/9 + 34\/9. Sort f, 1, u in descending order.\nAnswer: 1, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - s. Let n(t) = t**3 + 7*t**2 - 2*t - 2. Let b(g) = 2*d(g) + n(g). What are the prime factors of b(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {i: 5, q: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115143, 115144, 115145?\nAnswer: 115146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 + -18 - 13).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 14 + 0 - 1 - c**3 to the form f*c**3 + l*c**2 + k*c + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 2150*q**7\/7 + 1295*q**3\/3 - 394. Find the third derivative of m(a) wrt a.\nAnswer: 258000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 55 = -201. Let c be ((14\/(-4))\/7)\/((-8)\/80). Suppose -5*x - i + 77 = -0*x, x - c*i = 31. What is the highest common divisor of x and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.98523 to 1 dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3272284 by 13411.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 563 - 564. Let j = 17 - 7. Let m = j - 11. Which is the closest to i? (a) 0.4 (b) -6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8016 and 512.\nAnswer: 256512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8109 at most -8109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:10 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58921 + 89059. Suppose 2*f = 5*d + r, -4*f + 2*d = -110256 - 185736. Round f to the nearest one thousand.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5135 + 498687 = -4894*u + 29104 for u.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/6 and 77\/111?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-14)*100\/30. What is the closest to -7 in j, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7546 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 35*n**3\/6 - 3*n**2\/2 - 70*n + 72. Let g(p) be the first derivative of u(p). Let k(v) = 2*v**2. What is k(g(l))?\nAnswer: 2450*l**2 - 420*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 22 - 2*u**2 - 10.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/680 and 151\/510?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1685?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/7, -4\/63, -1\/2, 51, 0.2 in decreasing order.\nAnswer: 51, 1, 0.2, -4\/63, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(8*x + 5*x - 6*x)*(-11 - 1 - 2) in the form s*x + c and give s.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45, -50, -55?\n\"Answer: -5*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.25 - 1. Let d = 1.65 + 1.8. Let c = i - d. Round c to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4122 take away -0.3?\nAnswer: 0.7122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2 - -1) + 3. Suppose 0*v = 5*c + v - 2, s*c = v - 2. Solve -4*a + 2 + 18 = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 - 6)*(0 + 1 - 2) + 1 - 2 + 2)*(3*g + 3 - 3)*(-164 + 164 + 32*g).\nAnswer: 864*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2442985 divided by -3485.\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(5040) + -2*sqrt(5040) + sqrt(35) + sqrt(35)))\/(2*sqrt(175)*-2))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:38 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6009.\nAnswer: 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q - 208. Let s be b(25). What is the greatest common divisor of s and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d, -5*k - 3*d = -40 - 17. Suppose 0 = -5*x + 3*r, r = x - 2*r + k. Find the third derivative of x*f + 3*f**2 - 3*f - 3*f**3 wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + -0.01. Let r = f - 2.1. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 20*h - 14. Suppose 5*o = -2*z + 23, 0*o = -o - 5*z. Let q = o + 5. List the prime factors of c(q).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 1 = -2*j, 23 = 5*j + 2*c - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38446968 is divided by 203423.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 7. Let r(g) = 9*g**2 + 6*g**2 - 6*g + 31*g**2 - 5 - 47*g**2. Let v be r(o). Solve 5 = v*y + 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 680.2, 6, 3 in descending order.\nAnswer: 680.2, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/42 + 25\/175. Let y = 71.75 - 72. Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 940 = -4*v, v + 2*s - 16 = 226. What is the remainder when 2333 is divided by v?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1\/26 (c) -21 (d) -202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9345*l*z**3 + 228*l*z**2 + l*z + 3*z**2 - 6 wrt z?\nAnswer: -56070*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 + -1 - -1*(sqrt(108)*-1)**2) + 3.\nAnswer: 6*sqrt(3) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 0*l**4 + 5\/3*l**3 + 0*l**5 + 0*l**6 + 0*l**2 + 2 + 0*l - 5\/7*l**7. What is the third derivative of m(p) wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 2*d**2 + 11*d - 9. Suppose 5*j = -3*c + 8, -2*j + 0*c = 4*c + 8. Let u be o(j). Solve 13 = u*a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k)**(-2\/27) assuming k is positive.\nAnswer: k**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*k + 3*k**2 - 1061164 + 163*k - 332*k + 1061164.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17919819*f*o**2 - 142*o**2 - 6*o - 178 wrt f.\nAnswer: 17919819*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9956 - 13969. Suppose -i = 4*m + 1543, -5*m - 5*i - 881 = 1029. Let p = m + b. Round p to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827183571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/80)\/(9\/15). Let u = 31 - 17. Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*o)*(5 - 4 - 4) + 2*o + 1 + 3*o - 4*o + 2*o - 3*o + 2*o + (-o + 4*o - 5*o)*(3 - 3 + 2) + 5 - 4*o - 5.\nAnswer: -15*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -324334*-3\nAnswer: 973002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 + 4 = 0. Suppose -8*v + 3*v - 113 = -3*t, k*t + 2*v - 194 = 0. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 3. Let m be q(0). Let o = 0 + -1. Let u be 1 + o - -1 - 1. Solve 5*s - 20 = -u*d + 5*d, -m*d - 4*s + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -0.5, 5\/37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Suppose 1170 = -31*u + 3836. Let h(v) = -u*v**2 + 198*v**2 + 54*v**2. Give y(h(w)).\nAnswer: -332*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32 - 34)*2\/26. Suppose 4*o + 0 = 4. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.461? (a) -0.03 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/31)\/(w**3\/w) assuming w is positive.\nAnswer: w**(-64\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 1\/108*q**4 + 0*q + 4*q**2 + 0 - 1\/540*q**6 + 1\/27*q**3 - 1\/270*q**5. Suppose h(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 42*n**2 + 2*n - 623. What is the hundreds digit of v(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-1\/7))\/u)*u**2)**(35\/4) assuming u is positive.\nAnswer: u**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7184\/(-61064) - (0 - 1526\/(-34)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-196)*(-9)\/(-540)*-8*-5.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -861611 - -3?\nAnswer: -861608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64763?\nAnswer: 64763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189210.\nAnswer: 2, 3, 5, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3040*c**4*t - 3652*c*t - 3931200*t - 1 with respect to c.\nAnswer: -12160*c**3*t - 3652*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 17*n**2 - 2*n - 219. Let f be a(16). Solve 0 = -4*v - v - 5*y - f, 0 = 5*v - y + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8626329683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (-5 + -1*sqrt(76)) - (sqrt(76) - (sqrt(76) - (-3 + (sqrt(76) - (sqrt(76) + 1)) + sqrt(76)))) - (sqrt(76) + (3 + sqrt(76))*2)*-3)**2.\nAnswer: 1080*sqrt(19) + 8329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 713*z + 62. Let s(b) = 717*b + 46. Give 3*j(h) - 4*s(h).\nAnswer: -729*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1140, -2289, -3438, -4587, -5736?\nAnswer: -6885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 55*a - 483. Let i be z(9). Solve -3*n - 4*h - 5 - i = 0, -3*n + 5*h + 28 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6*a = -42. Let x(g) = -g**3 + 6*g**2 - g - 1. Calculate x(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spyw when four letters picked without replacement from {p: 3, w: 3, s: 2, t: 3, y: 1, r: 1}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 774 or 521?\nAnswer: 774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8140*u. Let b(f) = -148*f. Let y(p) = 111*b(p) - 2*r(p). Let a(c) = 2*c. Give a(y(i)).\nAnswer: -296*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q**(-4\/5))**9)**(11\/7) assuming q is positive.\nAnswer: q**(891\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/57 in -1, 1\/4, 0.557?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/2 + 9*g**3 + 285*g**2\/2 - 36*g - 546 = 0 for g.\nAnswer: -7, -2, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 3*o**3 + 786*o**2 - 22.\nAnswer: -3*o**3 + 786*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 4*a + 1. Let z be w(2). Solve o + z = -v, 5*v = -o + 6*o + 35 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24937 times 0.5\nAnswer: -12468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1*((-24)\/(-4))\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 2135.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -g - 80. Is 24 a factor of (-1005)\/g - (-25)\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*u - 5*u, 3*u - 2*w = 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5052121.713 to the nearest 100.\nAnswer: -5052100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104308175929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 291.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 24 = 10*v. Suppose -153*x = -147*x + 282. Let q = x + 53. Calculate the highest common divisor of q and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n**2 + 166*n - 128. Is v(17) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4) - -6 - 12\/2. Sort -4, m, 1 in increasing order.\nAnswer: -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -5 (b) -11 (c) 0.5 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*f + 6 = 0, -4*i - 5*f = -6*f - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 891183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 8500\/21783?\nAnswer: 8500\/21783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35\/4 in 3\/7, -3566, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(36\/10)*48\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*i + 3600 = -20*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6328 and 110740?\nAnswer: 221480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 1\/1234277?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 7:07 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.9 + -11.176. Let p = 2.124 - b. Is 2\/9 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.99 + 0.01. Let p be 3\/(-4) - 1\/4. Let k be (p - 15\/(-36)) + 10\/15. Which is the third smallest value? (a) k (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - 2. Let t(k) = -939*k**2 - 8*k - 13. Let j be t(i). What is j rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 0 + 2*p**3 + 2 + 0*p**3 + (4*p**2 - p**2 + p**2)*(-502 - 230*p**2 + 502).\nAnswer: -919*p**4 + 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214821737.\nAnswer: 3, 47, 2871919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/11994 and 9\/7996.\nAnswer: 23988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*n**3 - 8050*b**2*n + 6*b*n**2 + n**3 - 271201*n**2 + n wrt b?\nAnswer: -4*b*n**3 - 16100*b*n + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 30 = -34. Let p(u) = -2*u - 7. Let r be p(h). Solve 9 = 2*c - r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102002*w - 102001*w - a - 9, 5*w - 4*a = 39 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/72 (b) 35 (c) 704\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 5, -42, 3, -199 in decreasing order.\nAnswer: 9, 5, 3, 1, -42, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -12 + -10 + (1 - 10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 minus 1223?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/123 in 0.1, -1, -0.0334, -2?\nAnswer: -0.0334","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 9*m + 7. Let y be 46\/3 + (-10 + 6)\/12. Suppose -y*d = -8 - 97. Calculate q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 7*k**2 - 5*k - 8. Let g be w(-7). Suppose -25*y = -34*y + g. Suppose -d = -v - 126, y*v + 1 + 5 = 0. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 4860*w + 98800.\nAnswer: -4*(w - 20)*(w + 1235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2351 - 41118 = 17*j. Let q = j + 3841. Calculate the greatest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, x: 1, k: 2, d: 1}. What is prob of sequence xd?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:47 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 4*x - 2*x)*(2*x**2 + 0*x**2 - 5*x**2) + x**3 + 8*x**3 + 4*x**3 to i*x**3 + p + t*x**2 + m*x and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 82 = -2*b. Let m = b + 52. Suppose -2*k - 11 = -5*j, 4*k = -3*j - m - 0. Solve 5*o - 4*i = -j, 2*o - o + i = 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1098)\/4*2538\/(-141). What is the highest common divisor of 81 and u?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -645 - 3?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2532*o**2 - 2842*o**2 + 584*o**2.\nAnswer: 274*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206 + 210. Suppose 9*d - t*d = -20. Which is the second smallest value? (a) -7 (b) -1\/10 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-42) - 127376\/(-3850). Let n = -376\/11 + c. What is the common denominator of n and 1*(-3 + 7) + -43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 2 + 3*i - 3*i)*(-i - 2 + 2)*(13 - 13*i + 17*i + 1) in the form m*i**3 + g + d*i + r*i**2 and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -3) + -5 - -1) + -10 + (669 - 548)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - 16*i - 10. Let n(v) = -3*v**2 + 8*v + 5. Let y(a) = -a**2 + 4*a + 23. Let f be y(-3). Let l(r) = f*c(r) + 5*n(r). Calculate l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**1)\/h)\/(h\/h**(2\/35))*h*h\/(h**(-1)\/h)*h*h**(-1))**(-33) assuming h is positive.\nAnswer: h**(-4686\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8\/35685, 0, 2 in descending order.\nAnswer: 2, 8\/35685, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 3*n**2 - 2*n + 1. Let k = -569 - -572. Let x(m) = -2*m**3 + m. Let j(p) = 5*p**3 + 2*p**2. Let g(q) = j(q) + 2*x(q). What is k*g(f) + 2*l(f)?\nAnswer: f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/5))**(-45)\/(c**15*c*c**(-8)\/c*c))**(6\/37) assuming c is positive.\nAnswer: c**(-264\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -163\/1036 + -14\/37. Let w = d + -3\/14. Let i = 0.3 + -0.5. Which is the third biggest value? (a) 2\/5 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*b**3*v + 76221510*b**3 - 3*b*v**3 + 470*v**2 with respect to v.\nAnswer: 68*b**3 - 9*b*v**2 + 940*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13374 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -7*q**3\/3 - q**2 - 5*q + 6. Let g(y) = 14*y**2 + 4*y + 9. Let j(v) = 6*g(v) + 11*l(v). What is j(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38364527 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 7*d + 3*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 46261371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 + -104. Let f = u + -81. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 428131706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 622*g**4 - 18878*g**3 + 68967*g - 39 wrt g.\nAnswer: 7464*g**2 - 113268*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x\/(x**(1\/6)*x)*x*x)))\/x)**(7\/6) assuming x is positive.\nAnswer: x**(77\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21\/10 + -83\/80. What is the common denominator of b and 63\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 965642471841 from 7.9.\nAnswer: -965642471833.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*a - 6*a + 7 - 7 to h + d*a and give d.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 113. Determine t(-23).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*g = -39, x - 18 = -g + 6*g. Let z be (x\/28)\/(2\/(-16)). Let y be 1*z\/3*6. Solve -w = y*w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-7 - (7 + (10 - 43) - -3))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2 - (-7 - -4)*1. Suppose f*c - 8625 = 8375. Suppose 1130 = 10*m - c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = 4*n - 4*k, -3*n - k + 25 - 222 = 0. Let g be n\/12*(-3)\/4. Solve 3*l - g*f + 21 = 0, 0 = -2*l + 4*f + f - 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6293 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392, -389, -398, -425, -476, -557?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1701, 1702, 1681, 1626, 1525, 1366, 1137, 826?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6173, -24633, -55399, -98471, -153849, -221533, -301523?\nAnswer: -393819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 12*m + 30. Let l be o(14). Factor 20*z - 5350 + l + 3*z**2 - 5*z.\nAnswer: 3*z*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 171, 175, 191, 225, 283, 371, 495?\n\"Answer: y**3 - 3*y + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 4. Let h be b(-4). Suppose -t + 9 = 2*t, -5*w + 5*t - 25 = h. Let f be (14\/4)\/((-1)\/w). Solve 0*k - 4*y = -k + f, 14 = -4*k + 2*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:20 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -54*t**3 + 2*t**2 - 1. Let a be n(-1). Let i = a + -38. Suppose -136 = -7*q - i. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -9*p - 53 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-288056)\/40 + -6)*-5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9786960 rounded to the nearest one hundred thousand?\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*g**3 - 2644 - 1281 + 5*g**3 + 11*g**3 + 9*g**3 to c*g**3 + m*g**2 + i*g + h and give h.\nAnswer: -3925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Suppose -49816 = -61*h + 63461. Suppose 473 = -j*k + h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -393, -886, -1577, -2466?\nAnswer: -3553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*(p**(-3\/8)\/p)\/p)\/p)\/p)\/p**(-2\/7))\/(p*p\/(p*p*p**(-3\/7)*p)*p*p)**15 assuming p is positive.\nAnswer: p**(-1317\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150758297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - o + 4. What is the tens digit of d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/55 + (-4)\/22. Suppose j = -0*h - 7*h + 14. Solve -4*k - 8 = 0, -h*x - 2*x + 16 = -2*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 26*b - 21. Let s be a(6). Let v = s - 95. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300502 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 plus 298525?\nAnswer: 299439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 356 + -353. Let x be ((-40)\/(-14))\/(2\/7). Solve 0 = f*j - 5*j + x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i + 37. Let n(p) = -8*p + 38. Let q(w) = -5*f(w) + 4*n(w). Is q(11) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.6, -3, 118, 16, 1\/4, 5?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-228)\/(-39) - 8\/(-52). Let p(y) = -y**2 + 6*y - 2. Let m be p(6). Let o be 1*(t\/m + -2). Sort 2\/7, 0.3, o in decreasing order.\nAnswer: 0.3, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 3, 174\/31, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87724 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/(-19)*119719\/6301.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*h**4 + 2*h**3 - 96*h wrt h?\nAnswer: 408*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1576700563 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9217044?\nAnswer: 2, 3, 31, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2782\/9 or -34?\nAnswer: 2782\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:32 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, -13, -51 in decreasing order.\nAnswer: 14, 0, -13, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9961952 and 61\/112?\nAnswer: 9961952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.08 (c) -12.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*f**2*t**3 - 2*f**2 - 6607*f*t**3 + 5*t**3 - 447*t**2 - 135*t + 1 wrt f.\nAnswer: -30*f*t**3 - 4*f - 6607*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + 0.6. Let m = j - 0. Let p = 1 + m. Round p to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {d: 6, t: 1, l: 7, g: 3}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 6 - (-5 + 10 - 7 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689876678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (0 - 0) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 + 4*k)*(-2 - 1 - 4).\nAnswer: -28*k + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9752 and 644?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, k: 4, u: 3}. What is prob of picking 3 y?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*k + 3*r, -3*k - 4*r + 4 = -3*r. Let b be (-2 + -3)*2\/(-5). Solve -9 = -b*m - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102, -100, -64, 24, 182, 428, 780, 1256?\n\"Answer: 3*u**3 - u**2 - 16*u - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66455, 66460, 66465, 66470, 66475, 66480?\nAnswer: 66485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -1, -5, -0.5, 275\/2, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6*m - 3. Let f be ((-2)\/(-6))\/(276\/90 + -3). Let w be u(f). Let t(q) = 3*q - 2. Let n be t(6). Solve 4*i + w*y + n = 6, -3*y = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -33 (c) 0 (d) 5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20488557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3\/5515, -2 in descending order.\nAnswer: 3\/5515, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5822 + 5922 - (-1 + 0).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -144. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 5*k + 79. Let b(m) = 3*m**2 - 4*m + 79. Let l(r) = -5*b(r) + 4*j(r). Let u(t) = 6*t**2. Determine l(u(d)).\nAnswer: 36*d**4 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.396309 millilitres?\nAnswer: 0.006396309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32646653 (base 7) to base 6.\nAnswer: 140225455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203866 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -145968390 divided by -6\nAnswer: 24328065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872250 is divided by 96200?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 75?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 329762897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1437.923t?\nAnswer: 1437923000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 678.2228 millilitres?\nAnswer: 0.6782228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6021*m + 90414. Calculate l(15).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (4 - -1)*-2. Suppose -4*c = -y*c + 25200000. Round c to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from mqemrrmmmmmmfmfrfr?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82401772, -164803539, -247205306, -329607073, -412008840?\nAnswer: -494410607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 7*z + 2. Let n be a(3). Let r(j) = 2*j**2 - 2. Let f be r(-8). What is the highest common factor of n and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36917 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7*a = 27. Suppose -5*x - 3*k + 1 + 9 = 0, -5*x + a*k + 10 = 0. Let w be ((-4)\/(-6))\/(2\/9). Solve w*p - v + 5 = 0, -3*p - v = x*p + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, a: 2, b: 2, u: 3}. Give prob of picking 2 u and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:46 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3\/3 - n**2\/2 + n + 66. Let v(k) = -48*k**2 - 36*k + 36. Let r(h) = -180*j(h) + 5*v(h). Let q(x) = -x. Determine q(r(s)).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 187273504 divided by 6?\nAnswer: 93636752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2728 - 150.3728. Let w = q + 143. Let f = 7 + w. What is the closest to f in -4, -3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356\/3 - -118. Let x be (-4)\/10*(-27)\/(-18). Which is the closest to h? (a) -2\/19 (b) -3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 960.47 millennia?\nAnswer: 9604.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2800180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 - -198. Let j = 223 - t. What are the prime factors of j?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*o, -5*h = 2*o - 3 + 20. Let g be 0 + (-16)\/(-7) + -2. Which is the biggest value? (a) 0.2 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 5, l: 4}. Give prob of picking 1 l and 1 d.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*(-4 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 10) in base 3?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 3.463.\nAnswer: -6.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9040191 divided by -9040191?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + i + 407999 = 0, 13*p - 9*p = -5*i + 816005. What is p rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087 times -524?\nAnswer: 569588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.4 (c) -565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3747045?\nAnswer: 3, 5, 23, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1*a)\/a)\/a**1*a**(-8)*a*a\/(((a*(a**5*a)\/a*a)\/a)\/a))\/(((a\/a**(1\/3))\/a*a)**(3\/14)*((a**(-4\/7)*a*a)\/a)\/((a\/a**(-5))\/a)) assuming a is positive.\nAnswer: a**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u + 0*u - 2*u)*(-4*u + 0*u + 3*u + 3*u**2) to c*u + z*u**2 + x + d*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 12*x + 5. Let h be l(-12). Solve -y = -4 + h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*g = 0, 4*n + 31 = n - 5*g. Let h be ((-1)\/2)\/((-10)\/14). Let s = h + -19\/20. Which is the nearest to s? (a) 1 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 508, -0.1, -5, 2\/11, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1834 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 269*f**2 - 130*f**2 - 142*f**2 + 1165 in the form z*f**2 + r*f + y and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3323 + -235929\/13292. Suppose -3*x = 3*z + 18, x = 5*z + 5*x + 28. Find the common denominator of t and ((-6)\/z)\/(480\/(-354) - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 255*q + 5389. Give g(-100).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:10 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Suppose 2*p = 2, 0 = -4*f + w*p - p + 89. Suppose -4*z + f + 197 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2076, 0.61, 0.3.\nAnswer: -1\/2076, 0.3, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-1 - (-2 - 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 - -1) + 3 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.45757 centimeters to kilometers.\nAnswer: 0.0006345757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 209418839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 468506 = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*s + 37, o + 0*s - 13 = 4*s. Suppose 3*t + 2 = 4*a, 22*a - 25 = -5*t + 23*a. What is the remainder when o is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 0*o**2 + o**3)*(-9 + 7*o + 9) + 199*o**4 + 5*o**4 + 0*o + 0*o to the form m*o + t + y*o**4 + s*o**3 + b*o**2 and give y.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270542, 541085, 811628?\nAnswer: 1082171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**3 - 574*j**2*q + 3703*q wrt j.\nAnswer: -12*j**2 - 1148*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 76 + 12 = 0. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 356 = -9*q. What is the remainder when 21 is divided by (-4)\/(-14) + q\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202682*z**5 + 220526*z wrt z?\nAnswer: 4053640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 8*c**3 - 16*c**2.\nAnswer: -c**2*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 - -203?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 17 + 3 + (10 - (2 + 10))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 330\/100)\/(6\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1589*f + 3 + 2 + 4517*f + 135285*f. Let i be j(-6). Let g = -1288341 - i. Round g to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/3 (c) -16.347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*p = -72, -1 = 5*o + 4*p - 112. Solve 0 = -o*j - 4*j - 108 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 0, 4 in increasing order.\nAnswer: -6\/13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 1 - 1 + 0 + 0 - i + (2 - 3 + 0)*(2*i + 2*i - 6*i) + (0 - i + 0)*(-4 - 3 + 1).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -403.78 + 391.78. Which is smaller: b or 98?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:00 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 - -7 - (-1 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1980692031 - -1980691023.9995215. Let f = d + 1007. What is f rounded to 5 dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -203201101?\nAnswer: -203201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/19 (b) -0.4 (c) 0.3 (d) -0.2 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1852 + -998. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 360\/27*(-6)\/(-4). Suppose -t + r = 4*b, -2*t + 3*b = 28 - 13. Solve -2*a - 2*j + 4 = t, 2*j = -0*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360488520 divided by 9576\nAnswer: 37645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -20. Suppose n = -3*s - 16, -4*s + 4*n - 39 = -7. Sort -3, s, 1, y in descending order.\nAnswer: y, 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1, -1\/2.\nAnswer: -0.6, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 + 46*q**4.\nAnswer: 2*q**4*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j**5 - 965764*j**4 + 29148085372*j**3 - 72859831700*j**2 - 131164211412*j + 262311039432 = 0. Calculate j.\nAnswer: -2, 3\/2, 3, 60359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v. Let h(w) = 25*w. Suppose -33 = -4*k - k - 4*u, -4*u = 4*k - 28. Determine k*j(p) + 6*h(p).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 287*h**3 + 47*h**2 - 22526*h?\nAnswer: 1722*h + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejeekkyyj. Give prob of picking 1 k and 1 y.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -10. Let r = -178894.36 - -178910.359938. Let s = r + f. Round s to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(187)*-1 - sqrt(187)) + 3*sqrt(187)*-2)\/(sqrt(22)\/sqrt(72)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 174 - 6. Solve 2*v - v - 4*i + s = 0, -4*v - 4*i + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.32 + -5.686. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 10 = 2*d, 4 = -1663*r + 1665*r for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -701793?\nAnswer: -3508965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2 - 11567096*a - 23134184 = 0?\nAnswer: -5783546, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + 84\/10. Suppose -36 = -2*y + v. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s - 3. Let w be (-2 - 1)\/s - -1. Suppose 7 + 15 = w*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 201 - -1?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 20*o**4 + 12*o**2 + 12*o + 16. Let j(r) = -r**4 + 1 - r**2 - 2 - 7*r + 6*r + 0*r**4. Let i(a) = c(a) + 12*j(a). What is the derivative of i(n) wrt n?\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**7\/70 - z**5\/20 - 3*z**2 - 1. Let g(f) be the second derivative of i(f). What is the third derivative of g(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -321.825 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*q - 4*x, 0 = -0*q + q - 5*x + 5. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l. Let z(a) = -71*a - 937. Determine z(j(u)).\nAnswer: -923*u - 937","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4\/15 - 76*f**3 - 2264*f**2\/5 - 13552*f\/15 - 3008\/5 = 0.\nAnswer: -564, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/2 - 280384*g**4 - 1121545*g**3 + 560766*g**2 + 6729273*g\/2 - 2523474 = 0.\nAnswer: -3, 1, 560772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.5. Suppose 0 = -4*h - 2*q + 12, -q - 1 = -2*h + 1. Suppose h*v + 1 = -9. What is the second biggest value in v, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 6*s = 777. Let d = s - -113. Suppose 0 = d*g - 4*g + 3*m + 176, 0 = -2*g + 4*m + 174. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19376444422 and 6.\nAnswer: 19376444428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146973?\nAnswer: 3, 48991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73978 - -114731. Let y = -117553 + c. Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -617 (base 9) to base 4.\nAnswer: -13312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(735*j + 6*j - 2008 + 2003) to i*j + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11490 is divided by 3590?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t - 1. Let k be r(3). Let a = k - 27\/2. Factor a - 3*d - 2*d**3 + 9\/2*d**2.\nAnswer: -(d - 1)**2*(4*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -5)\/(6\/9). Suppose -9944 = -w*x + x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2 - 18*k + 14*k + (14 - 4 + 21)*(2*k - 6*k + k) + 0*k + k - 4*k.\nAnswer: -100*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(225\/10))\/((152\/(-980))\/(-19))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -464576 by -33184.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2254 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 185, 277, 369, 461?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 31638, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + -2 + sqrt(208))**2 + (sqrt(208) - -2*sqrt(208))**2*3 + (-4 + -1 + sqrt(208) + sqrt(208) + 0 + -5)**2).\nAnswer: -176*sqrt(13) + 6760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3787 divided by 2874\nAnswer: 3787\/2874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5539 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 11:38 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 191. Let w be o(67). Suppose 0 = -5*j + 2*c + 10, w = c + c. Let r = 46 + -23. Solve -3 = -j*k - r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 1592625, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 - -2.7. What is the closest to 0 in 2\/3, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 2*y - 3*y + 11 + 5*y - 11 + (-1 + 0 - 2)*(-2*y + 2*y - 2*y) + 0 + 0 - 28*y as q*y + k and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522.8153028 rounded to one dp?\nAnswer: -1522.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/15 + (-5)\/25. What is the common denominator of -43\/21 and 322\/(-24) + (-3)\/a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j = 45*j + 20. Let p(l) = 4*l - 35. Determine p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d = -40. List the prime factors of 100\/16 - (-2)\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 93.871\nAnswer: -281.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -13. Let m = 8 + u. Which is the closest to 1? (a) 1 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(110)*-1*5)\/(sqrt(20)\/(sqrt(8)\/(1*sqrt(4) + sqrt(4)))).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 3*s - 8. Let g be o(-9). Let d = 64 + g. What is the greatest common factor of d and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -137\/4. Which is the nearest to w? (a) 0.3 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1\/2 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/8 + -5 + 1. Are j and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 58*u - 1170180. What are the prime factors of u?\nAnswer: 2, 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b**2 + 66 - 66 - b**2 + b**2 - 2*b**2 + (-4*b + 2*b + 4*b)*(-1 + 1 - 2*b).\nAnswer: -7*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*r, 3*f + f = -4*r. Solve y - 5 = -f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q**2. Let b(m) = 15*m**2 - 4017276*m. What is b(v(i))?\nAnswer: 2160*i**4 + 48207312*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*y - 8, -g + 2*y - 241 = -237. Determine j, given that 304\/3*j**g + 0 - 32*j + 12*j**4 - 16\/3*j**5 + 104*j**3 = 0.\nAnswer: -2, 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 16*f + 72. Let r be z(-6). Solve 4*l - 3*g + r + 4 = 0, -5*g = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g**2 + 1)*(2*g - 4 + 4) - 1 + 1 - 2*g**3 + (0 + 4 - 2)*(0*g**3 + 0*g**3 + g**3) + 0*g**2 + 2*g**3 + 0*g**2 + g**3 - 2*g**3 - g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z + 29*z + 4*z. Let d(u) = 4*u**2. Determine a(d(h)).\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3578?\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -5*k. Suppose -8*o = -k*o - 872. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2. Let r(g) be the first derivative of -1\/2*g**2 - 44 + 3*g. Determine r(j(i)).\nAnswer: -2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 2*k + 504 = 2*z + 13*z, 4*k = -0*k + 8 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 37 - (-31 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 348.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8343 (base 9) to base 15.\nAnswer: 1c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.03101.\nAnswer: -0.12404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16529763 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:50 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -341 + 347. Calculate the smallest common multiple of 25 and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -76 (b) -0.05 (c) -0.1 (d) 21508 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 divided by 20?\nAnswer: 129\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47\/80 - -35\/16. Determine s, given that 4\/5*s**2 + 2\/5*s**4 - l*s + 8\/5*s**3 - 6\/5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + sqrt(300) + -1)*1)**2 + sqrt(300) + 2 + 0 + (sqrt(2430) - -1*sqrt(2430) - sqrt(30))\/sqrt(10))*-5.\nAnswer: -6015 + 65*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1368) - (sqrt(1368) - (sqrt(1368) + sqrt(1368)*2)))\/(sqrt(2) - sqrt(160)\/sqrt(5)))**2 + -1)*3.\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 52634 * -485\nAnswer: -25527490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 8, 16 in decreasing order.\nAnswer: 16, 8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 4851600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109014 + -3706849\/34. Let p = -41\/51 - h. Find the common denominator of p and -113\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2474f + 69?\nAnswer: 247b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + -97. Solve -4*o - 5*t = 18, h*o + 10 = o - t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855011 = -62*r - 244559. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-52) - 318859\/(-19786)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7864.4um?\nAnswer: 0.0000078644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -128188525851500 + 3\nAnswer: -128188525851497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36314512 - 59665905. Let v = x + 46151373. Suppose 2*a = 4*r - v, 2 + 3 = -r. What is a rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -89813, -179481, -269149, -358817, -448485?\n\"Answer: -89668*x - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/2 + 7*a**4\/2 + 543*a**3 - 10960*a**2 + 40192*a + 233472 = 0?\nAnswer: -38, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*i*n - 445*i + 3344*n + 56 wrt n?\nAnswer: 34*i + 3344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -963.73 - -968. Let s = d + -38.17. Let i = 34 + s. Is i < -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let l(w) = -w**2. Let c be 4*(0 + (-10)\/(-8)). Suppose 2*s = 3*a + c, -4*s + 13 - 4 = -5*a. Determine s*p(j) + 3*l(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 + 22 - 11\/((-110)\/40) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(81\/(-15) - -5) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b + 3*b**2 - 25*b)*(-3 - 2 + 6) + 3*b - 3*b - 2*b**2 + (b - b + b)*(b + 2*b - 5*b) - 3*b**2 - b**2 + 2*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2036*r**5 + 7*r - 19 wrt r.\nAnswer: 40720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-42)*15)\/(-10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -3 (b) -0.3 (c) -16\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 + 5*n - 4. Let y(s) = -5*s - s**3 + 1 + 0*s**3 + 2*s + 2*s. Calculate o(l) + 5*y(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39667, 158800, 357467, 635758, 993763, 1431572, 1949275, 2546962?\nAnswer: 3224723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 282.463729 to 2 dps.\nAnswer: 282.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4 + 2*l + 4*l - 1 - 5*l. Let k(y) = -y + 3. Suppose -2 = g, -a - 15*g + 20*g + 138 = 0. Suppose -2*j - a = 14*j. What is j*k(n) - 5*f(n)?\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109.8 - -108.7. Which is the biggest value? (a) o (b) 0 (c) -3 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2. Let g(o) = 4*o + 119415. Give g(f(y)).\nAnswer: 8*y**2 + 119415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/8 - 21\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrllabh. Give prob of picking 1 a and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-14))\/((-4)\/(-98)*(-14)\/210*35)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -y - 22 + 1, 0 = 3*f + 4*y - 6. Let r be ((-2)\/f)\/((-3)\/36). What is the third derivative of -15*v**4 - 18*v**2 - 4*v**2 - v**2 - 5*v**r wrt v?\nAnswer: -480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5883 - -29417\/5. What is the closest to i in 2, -0.1, -0.3, -349?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/15*1365\/3185)\/((-2)\/(-145)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4281\/(-19978))\/((-6)\/1736)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 1, u: 3, t: 6, v: 3}. What is prob of picking 1 v and 1 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*u - 22225 = 192*u for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -60.3. Let w = -1.9 - -2.9. Let f = -0.06 + -1.94. What is the closest to w in f, -1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*i - 125, 3*i + h - 5*h = 190. Suppose 2*t - i + 22 = 0. Round t to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89405039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747950720 to the nearest integer?\nAnswer: 27349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713920 and 1104.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 4*k**3 - 6*k**3 + k**2 - 3 in the form l*k + i*k**3 + r*k**2 + y and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*j + 55*j + 176*j)*(3 + 4 - 6).\nAnswer: 187*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 426321 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 28 + 29 - 27*h**3 - 58 in the form p*h + w*h**3 + y + t*h**2 and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.38 and 469.\nAnswer: -1585.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 623 - -236. Let p(b) = b**3 + 3*b**2 - 9*b + 10. Let g be p(-5). Suppose 16859 = -g*m + j. What is m rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(114)*-4)\/(sqrt(4320)\/sqrt(5) - sqrt(6)).\nAnswer: -20*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89.3 - -89. Sort -10, 3, 0, f in decreasing order.\nAnswer: 3, 0, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490533.\nAnswer: 3, 113, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 342647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -137\/3. Let o = 419 + -423. What is the nearest to 2 in o, -3\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n. Let f(x) = -163*x**2. Give f(y(k)).\nAnswer: -5868*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 8.6, -2142, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5\/3 - 20215*g**4\/3 + 20401955*g**3\/3 + 20462645*g**2.\nAnswer: 5*g**2*(g - 2023)**2*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*z**3 + 13050 - 13050)*((1 - 3 + 3)*(4 + 1 - 3) + 0 - 4 + 1 - 1 - 2 + 1).\nAnswer: -675*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*x**5\/7 + 192*x**4\/7 - 96*x**3\/7 - 324*x**2\/7 + 78*x\/7 + 132\/7 = 0. Calculate x.\nAnswer: -11, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 91. Suppose 69*h = 78*h - 36. Which is the nearest to 1? (a) 3 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 42801180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 655146017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by (20\/35)\/(1\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from {e: 1, m: 1, o: 3, v: 2, w: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12229 minus 2212?\nAnswer: 10017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1286711711 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - 3*z - 3*z + 4*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)*l*l)\/(l*l\/(l*(l**(-25)*l)\/l)*l)*(l**(2\/25)\/l)**(3\/10) assuming l is positive.\nAnswer: l**(-43483\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 9*i**2 - i + 5. Let m be a(9). Let o(u) = -164*u**3 + 25 - 7*u - 30 + 165*u**3 + 2*u**2. What is o(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 65 = -85. Let k(f) = -f**3 + 2*f**2 + 5*f - 4. Let a be k(3). Suppose -a*o = -d + 5, -d + o + c = 3*o. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 + -978\/7. Let p = -0.61 - -0.6. Let y = -0.11 - p. What is the closest to 1 in 0.2, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47974325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(-5*(-4)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-306)\/(-765))\/((-12)\/10)*(-30)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(144\/(-27)) + 47\/(-2). Let c(s) = 2*s**2 + 43*s - 23. Let o be c(j). Put o, -7, 0 in ascending order.\nAnswer: -7, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1259832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557097562 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 191212100 rounded to the nearest 100000?\nAnswer: 191200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15983 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*c - 119, -2*c + 4*q + 25 = -15. Suppose 238 = 5*u - 3*l, -3*l = -u - 6*l + 44. What is the remainder when u is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.01 - -1. Let y = -0.58 + 0.7. Let r = t - y. Round r to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -6, 4\/5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1 - 7*o**2 + o + 6*o**2 - 4*o**2 - 2*o. Give c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzzz. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 = -3*y - y, 4 = 4*y - 3*h. Let r be y - 300\/(-1168)*-4. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**7\/126 - 41*i**6\/180 - 29*i**5\/20 + 119*i**4\/72 + 49*i**3\/18 - 1599*i. Determine d, given that m(d) = 0.\nAnswer: -14, -7, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -1. Let n = 3.4 - 83.4. Let m = n + 75. Which is the closest to -1? (a) m (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/(-20)*(-3 + 4) and -99\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 168*n**2 - 357*n - 15856. What is i(-83)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15575\/(-47971) - (-3 - 124\/(-44)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2062*r**3 - 272*r**2 - 276*r - 3. Give s(-1).\nAnswer: -2061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (6 - (10 + -6) - 19) + 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/6 - 4*c**2\/3 - 7*c\/6.\nAnswer: -c*(c + 1)*(c + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11155 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djgwc. Give prob of sequence cd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119) + (1*sqrt(119) - sqrt(119))*-5 + sqrt(119))\/sqrt(7))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w - 17. Give k(-34).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/((-1575)\/30))\/((1\/15)\/1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -648, -1207?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 28*b**2 + 2*b + 4. Let h(m) = 76*m**2 + 6*m + 11. Give 8*g(k) - 3*h(k).\nAnswer: -4*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1645973, 1645972, 1645971, 1645970, 1645969, 1645968?\nAnswer: 1645967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y**3 - 2*y**2 + 1. Suppose 2*n + 90 = 3*n. Let w = n + -88. What are the prime factors of m(w)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34234423 (base 5) to base 7\nAnswer: -2412000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 9 - (-10 - (3 + -1))) + 26\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 4 + 2*m**3 + 0*m**3 - 4*m**3 to o*m + s*m**2 + g*m**3 + c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -220.74115 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-2201615\nAnswer: 110080.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-4)\/1440*-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 657028 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5101 + 5101.5. Let t = -0.3 - -0.5. Which is the nearest to p? (a) -2\/9 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*(d**2\/d)\/d)\/d*d*d)\/d*d)\/(d\/d**4*d))**(2\/9) assuming d is positive.\nAnswer: d**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 2135239?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksgs when four letters picked without replacement from {y: 4, s: 4, k: 4, g: 5, t: 1, v: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 4 + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**6\/36 - 5*b**5\/24 - 5*b**4\/9 + 20*b**3\/3 + 2*b - 23. Factor p(k).\nAnswer: 5*k*(k - 4)**2*(k + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050286177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 81266 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeeeeoeeeeeeeeeee?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22718 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: Put -1\/4, -1.52, -1, 1\/8, -23, 212 in ascending order.\nAnswer: -23, -1.52, -1, -1\/4, 1\/8, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-50))\/(2\/15). Let b = -93 - -97. What is the second smallest value in -0.7, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411 and 24.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3540\/(-19824))\/(4\/((-64)\/(-6))))\/(-5).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271830569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(91)*2)\/(4*sqrt(35)\/sqrt(5) - sqrt(7))*3)**2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -65*g - 62. Suppose n + 2*t + 27 = 0, -5*t - 76 = 2*n + n. Is z(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 4195\/380)\/((-16)\/64).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v**(-2\/81)\/v)\/v)*v))\/(v\/((v*(v\/v**(-9))\/v*v)\/v)))**33 assuming v is positive.\nAnswer: v**(5324\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 210\/(-7))*1. Let o(j) = -2*j**3 - 2*j**2 + 1. Let f be o(1). Let v = f - c. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 128*q + 404. Give a(-62).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -870, -3504, -7894, -14040, -21942, -31600?\nAnswer: -43014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4 + i + 9*i**2 + i - i. Let s = -40 + 45. Let k(o) = 0 + 4*o**2 + 4 - 6 + 4. Give s*k(u) - 2*p(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjzzjjjzjjjjzzjjjzj?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -128. Let n(k) = -5*k + 6. Let a(q) be the second derivative of 27*q**3\/2 - 48*q**2 + 2*q. Let z(c) = -2*a(c) - 33*n(c). Give z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045.548 kilograms in nanograms?\nAnswer: 1045548000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -8*j - 6. Let d(p) = p**2 - 117*p - 7. Let v(c) = -24*c - 1. Let u(i) = -d(i) + 5*v(i). Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.4 + 39.97. Let n = 4.5 - z. Which is the second biggest value? (a) -1\/4 (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from nnnxxrnnrx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384741 and 329778?\nAnswer: 2308446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from yynnynnknyyyxyd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**3 - 3*x**2 - 5*x - 6. Let c = 84 - 81. Suppose -4*d + 3 = -m + 13, 5*m - 4 = -c*d. Is 13 a factor of s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m - 88. Suppose 2*y = 2*o + 7 - 21, 0 = y - 3*o + 15. Let i(z) = 9*z + 6. Let a be i(y). Does m = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**3*z**2 - 6*x**3*z + 33*x**2*z**3 - 269*x**2*z + 6*z**3 + 2*z**2 wrt z?\nAnswer: 6*x**3 + 198*x**2*z + 36*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(8) - ((-1*sqrt(35))\/sqrt(5) - sqrt(7)))*-1)**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h**2 - 5*h - 5. Let i be 4 + (5\/(-5) - -2). Suppose -5*q = -10*q - 75. Let l = -23 - q. Let d(c) = -14*c**2 - 8*c - 8. Give i*d(o) + l*g(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.047942 nanograms?\nAnswer: 0.000000047942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 423 and 3801 + ((-108)\/9 + 9 - (1 - 10))?\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 6a83?\nAnswer: 6a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 5*n = -16*q + 13, 3*q + 3*n = 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 5*f**2 - 6*f - 2. Let j be p(6). Let a be 10*8\/16 + -9. Put j, 4, a in ascending order.\nAnswer: a, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -122. Sort -26, j, -1 in decreasing order.\nAnswer: -1, j, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -8.2 (c) 17 (d) 2.778 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((156\/(-5))\/13)\/2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q - 3. Let j(k) = -3*k**3 - k + 1. Let s be j(1). Is p(s) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 38 = 2*q + 52, 3*f + 2*q - 64 = 0. Suppose 4*o = -o - 4*h + 45, 45 = 5*o - 2*h. What is the remainder when f is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 29 = 3*x, 4*j + 3 + 7 = -2*x. Let b(k) = 418 + k**3 + 15*k + 441 - 860 + 16*k**2. Is b(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**(-44)*(l*l**0)**(-22) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318735259 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 38998120162?\nAnswer: 38998120161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18811 is divided by 553?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 0.8. Let d = -1.2 + 1. Let q = -2 + 2.2. Put c, d, q in increasing order.\nAnswer: d, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.0363\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 - 9\/6. Let y = 504.33 + -508.33. What is the fourth biggest value in -1\/8, -5, x, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-160)*8)\/((-6)\/15)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -0.009395096798523?\nAnswer: 13.009395096798523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:14 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 168338 less than -78033259?\nAnswer: -78201597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 139, 141, 145, 151, 159?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -1, -4 in decreasing order.\nAnswer: 3, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (13560*l - 794*l**2 - 13560*l)*(-2 + 2 + 1) in the form w*l**2 + s + z*l and give w.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3251463.\nAnswer: 2\/3251463","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.7 - -39.76. Let t = -15 - -14.1. Let d = t - -0.6. Which is the biggest value? (a) p (b) -1\/8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from mrgxqrxv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:57 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4 + 1 + x + x. Calculate the remainder when 58 is divided by w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from gzpnhgntzhht?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1295 + 18*q + 1287 - 3859 + 1282.\nAnswer: 18*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwc when three letters picked without replacement from iktkwktckikktckti.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64630*b*q*x - 42645*b*q + 3*b*x - 4*q with respect to x.\nAnswer: -64630*b*q + 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1171 and -1556.\nAnswer: -1555.8829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630761.\nAnswer: 619, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 129*z. Let t(y) = -11*y - 6. Let c(a) = -31*a - 17. Let x(v) = -6*c(v) + 17*t(v). Calculate f(x(h)).\nAnswer: -129*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -22 - 0) + (40 - (6 + 31)) - -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -6.4533495 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -43 in decreasing order.\nAnswer: -1, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n + 4. Let o(h) = h**2 - h + 1. Let t(c) = -3*o(c) + w(c). Give t(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64962101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -2 + sqrt(85)\/sqrt(5)*-1 + sqrt(68) + sqrt(68)*1 + -4)*-5.\nAnswer: -65*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/6 - m**2 + m + 2. Let l(g) be the first derivative of c(g). Let z(y) = 1. Let a = -15 - -12. What is a*z(d) - l(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -25\/18*d**3 - 1\/3*d - 7\/12*d**4 - 13\/12*d**2 + 2. Factor w(r).\nAnswer: -(r + 1)*(2*r + 1)*(7*r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 2*g + 3. Let p = 27 - 13. What is the remainder when l(-4) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 2\/3*i**3 - 7\/2*i**2 + 0*i + 11. What is the second derivative of b(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 5\/184789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 2 + -11 + 15 + 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**4\/4 + 43*h**3\/6 - 2*h**2 - 3*h + 29. Determine j(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((296\/3330)\/(5\/9))\/((-2)\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 + 25.15. Let d = 687 + -708. Let h = j + d. What is the biggest value in -0.4, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -51*x**3 + 18*x**2 + x - 6. Let b(f) = -53*f**3 + 20*f**2 + 2*f - 8. Calculate 3*b(d) - 4*p(d).\nAnswer: 45*d**3 - 12*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q + 0*q**2 + 1\/3*q**3 + 0. Let o(y) = -y. What is o(i(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37616 + -23113. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 11:20 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 16 = -z + 8, 2*z - 20 = -3*q. Suppose -q*o + 10 = o. Find the second derivative of -3*c + c**3 + 5*c - o*c**3 wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685093673?\nAnswer: 3, 107, 5249513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 8*l**2 + 4*l - 1. Let r be t(-5). Let i = r + 76. Solve 4*d + 3 = -i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78814739 to the nearest integer?\nAnswer: 8878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31653*v**2 + 1025*v?\nAnswer: 63306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*u - 25 = 0, -u = 2*z + 4*u - 10 + 36 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*n**2 + 0 + n + 3 + 374*n**2 in the form t + r*n**2 + s*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 168330, 168323, 168314, 168303?\n\"Answer: -f**2 - 4*f + 168335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z - 17*z + 20*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 75062337?\nAnswer: 75062337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((-24)\/10) - -3. Which is the nearest to -9? (a) u (b) 4\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/9)\/((-2)\/393282*-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 888 - 213920.3.\nAnswer: -213032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 10*x**2 - 9*x - 11. Give k(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.380204 nanometers in meters?\nAnswer: 0.000000007380204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -880.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + 13. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5\/9 - 2*p**4\/9 - 4*p**3 + 56*p**2\/9 + 112*p\/9 - 64\/3 = 0.\nAnswer: -4, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 12 - 14 + 2.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/7 (b) 2\/1231 (c) -0.1 (d) -5 (e) -2\/549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/180 + 2\/9. Which is the nearest to 2\/3? (a) o (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 45 = 5*h, -2*n - 27 = -4*h - h. Let l = n - -3. Sort 2\/3, -1\/2, l in decreasing order.\nAnswer: 2\/3, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78372462 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 - (-10 - -7))) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 116. Let l be h(-39). Let t be -2 - 7*(1 + -2). Let b be (3\/4)\/(18\/72). Solve 2*s + 4 + t = b*k, -2*k - l = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365523665 divided by -5.\nAnswer: 73104733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g**4 - 10400*g**3 + 349708*g**2 + 357500*g + 90024 = 0. What is g?\nAnswer: -682, -1\/2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**4 + 133845*i**2 - 74693 wrt i?\nAnswer: -8*i**3 + 267690*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnbi when four letters picked without replacement from {i: 4, n: 4, b: 2}.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -24*c + 2130. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l*p*s**4 - l*p*s**2 - 24*l*s**4 + 94*l + 15*p*s**4 - 31*p*s**2 wrt s?\nAnswer: 96*l*p*s - 576*l*s + 360*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 938 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -61. What is the smallest value in 1\/8, n, 3, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36343, 36320, 36267, 36172, 36023, 35808, 35515, 35132?\nAnswer: 34647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 120294*y + 120303. Give n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j - 8. Let a be f(-6). Suppose 6 = p + a. Suppose -4*h - 27 = -3*b + 21, 32 = p*b + 4*h. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4864 and 60688?\nAnswer: 18449152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 18*p - 29. Calculate m(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435b8 (base 16) in base 4?\nAnswer: 11003112320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 8*i + 7. Let x be s(-9). Let k = x + 11. What is the remainder when 17 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 54 - 48 = 0. Solve -3*o = -5*q + 24, q + 5*o = -14 + l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 + 73 - 20*b - 6 + 213 + 2*b**2.\nAnswer: 2*b**2 - 20*b + 446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let x = w - -1. Solve 3*k + l = -19, -3*k - x*l = 13 + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -582 (b) -0.5 (c) 4 (d) 10 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**3 + 2*x + 48 - 47 - x to the form a + h*x**2 + z*x + m*x**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 2*m. Let q(p) = 9*p**2 - 10*p - 1. Calculate -11*k(o) + 2*q(o).\nAnswer: -4*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*-3*-20*(-30)\/(-300)*-32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/10 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(105)\/sqrt(3))\/sqrt(7) - -5*(0 + sqrt(5))).\nAnswer: 2 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbeh when four letters picked without replacement from lzzbblyeehzz.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26149637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.089 - -3.911. What is the second biggest value in 0.5, d, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69 + 76 - 3*x**2 - 64 + (-4*x**2 + x**2 + x**2)*(-2 + 3 + 1).\nAnswer: -7*x**2 - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 515307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -348363 + 416642071\/1196. What is the common denominator of 67\/312 and v?\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/5)*i*i)\/i*i)\/i*i**(-2))\/(i**0*i*i)**(-22)*((i\/i**6)\/i**(1\/4))**31 assuming i is positive.\nAnswer: i**(-2387\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -837.\nAnswer: 1\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-693)\/45*-5*1. Let k(y) = -y**3 - 14*y**2 + 11. Let g be k(-14). Calculate the greatest common divisor of g and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.5559?\nAnswer: -0.22236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -72.1. Let q = -12.82 + -0.18. Let a = q - -9. Sort -0.5, o, a in ascending order.\nAnswer: a, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 27*k - 3. Let j(g) = 80*g - 8. Suppose -54*y = 57*y - 10*y + 303. What is y*j(z) + 8*x(z)?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 18558237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*u**3 - 395*u**3 + 201*u**3 + 1192*u**4 - 74 + 2*u**2 wrt u?\nAnswer: 28608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -1084, -1625, -2166, -2707?\nAnswer: -3248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*o - 7672 = 0, 4*a - 65*o - 15356 = -63*o. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128 + 110*f**3 + 512*f + 22*f**3 + 71*f**3 + 20*f**4 - 15*f**3 + 552*f**2.\nAnswer: 4*(f + 1)*(f + 4)**2*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1576060890 or -1576060891?\nAnswer: -1576060890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -41 + (12 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1)*(-7)\/(105\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 + (1 - (1 + (0 - 2))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/5*(-2)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -71.2. Round w to one decimal place.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x - 25*x = 10. Let a be (x + 24\/(-10))\/((-36)\/360). Solve 2*d = a*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 23 = -u - a, 0 = -2*u - 4*a + 18. Suppose -u*w + 4*w + 8 = 0. Suppose 0 = -h - h + w. Calculate the lowest common multiple of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156202 is divided by 2599.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36256 is divided by 12024.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74484 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880844897.\nAnswer: 173, 5091589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/120 and -27\/44?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - y + 43, 2*x - 6*x - y = -87. Let h = x + -21. Put -4, h, 2 in descending order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -203853791 and -0.4.\nAnswer: 81541516.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 424930 less than 424831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 0*g - 153 - 27*g + 153 + 28*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - (-540)\/21. Let i(z) = 0 + d*z + 0 - 2. Let j be i(2). What is j rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3284*s**2 - 2*s + s**3 - s + 3293*s**2 as r*s**2 + b + x*s**3 + o*s and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1245*f + 1012*f**2 - 697*f**2 + 20*f**3 - 775*f**2 - 900.\nAnswer: 5*(f - 20)*(2*f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00132644467 to seven dps.\nAnswer: -0.0013264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 57. What is z(-22)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.01mm in nanometers?\nAnswer: 57010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 441.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4, -f + 1 = -o - 1. Suppose -l - 3*z - 39 = -4*l, -3*z = 2*l - 11. Suppose -l = -o*r + r. What is the least common multiple of 11 and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*b**3 + 69*b**3 - 19*b**3)*(-5345*b**2 + 53 + 5347*b**2 + 166).\nAnswer: 26*b**5 + 2847*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 5*s + 2. Let k be o(5). Let u = 0 + 2. Let y(g) = -g**3 - 2*g**2 - 100*g - 306. Let c be y(-3). Solve -c*r + k*r = -u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 25. Solve 0 = -j*u - 5*n, -5*u + 29 = -2*n - 0*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3523.\nAnswer: -1\/3523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9163 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u + 87. Let v be k(-9). Suppose 27*t = -v*t - 58905000. What is t rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -0.4, 2\/3, -187, 0.03?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 = 3*y, -5*a + 2*y - 4 = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-7)\/(-42)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0 - -37b?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/19, -1\/831, -2\/5, -5, -6\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 52, 98, 162, 250, 368, 522, 718?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -395.2 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r + 2*r**5 + (0*r**4 + 0*r**4 - r**4)*(-2*r - r + 2*r) + 0 - 2*r**5 + 0 - 30*r**2 + 107*r**2 + r**5 - 79*r**2 + 21.\nAnswer: 2*r**5 - 2*r**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -411, -310, -145, 84, 377, 734?\n\"Answer: 32*h**2 + 5*h - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*o - 14*o**3 - 882*o.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 3*l + 0 + 3 - 7 - l**2. Let k be g(3). Calculate the highest common factor of k and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 42 = 3*r, -y + 79 = 4*r + 18. What is the remainder when 0 + 0\/(-1) - -57 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/(-10) + 72\/60. Suppose -f*c + r + 31 = -13, 0 = -4*c - 3*r + 20. What is the highest common factor of c and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, 11\/5, 27, 32, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1202 and 61373.036.\nAnswer: 60171.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 3)*(-1 + -2)\/66.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 6 - (-5 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/6 (b) -2 (c) 1\/2 (d) 0.241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 551232 and 203542416?\nAnswer: 814169664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/3))\/(a**(-5)\/a)*(a*(a**(3\/2)*a)\/a)\/a**(-2))**(-2\/5) assuming a is positive.\nAnswer: a**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -12246 (b) 0 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -51495*d**2 + 60. Let z(o) = -o. What is z(k(v))?\nAnswer: 51495*v**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/12 and -83\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(2 - 3 + 0)*(-f + 4*f + 2*f)*(-1 + 1 - f**3).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.785 + -97. Let q = h - -0.2. Let o = -0.01422 - q. What is o rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 18*j + 43*j - 13 - 15*j - 17*j.\nAnswer: -2*j**2 - 7*j - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -16*c**3 - c**2 - 2*c - 2. List the prime factors of a(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 3*q + 726 = 0, -5*g = -2*q - 911. What is the remainder when 489 is divided by g?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/(4690\/525)*2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38380)\/(-404) - (7 - -146).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.58 - 8.58. Let b = 0.17 + 6.83. Let h = b + -14. Does p = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -q - 13, -p + 265 = -q + 268 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1895*-10026\nAnswer: -18999270","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2314 - 1?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*g**2 - 105*g - 126*g - 116*g**2 + 72*g - 2*g**3 as q + f*g + m*g**2 + v*g**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143263*l*w**3 + 245155*w**3 with respect to l.\nAnswer: -143263*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5732.9 + -5756.9026. Let n = y - -24. Round n to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*i + 5512 + 3463 = 543 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*q + 21 + 5, 4*s - 38 = 2*q. What is the remainder when 1742\/18 - 2\/(-9) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3317 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (49 - 115) + 54?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 228, 213, 0.05, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 203908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -68646400 divided by 512\nAnswer: -134075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 163205484 + 0.7?\nAnswer: 163205484.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23925, -48717, -73509, -98301, -123093?\n\"Answer: -24792*i + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2. Let l(o) = -28*o + 1192 + 1200 - 2392. Determine z(l(f)).\nAnswer: 10192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4.1*-3830\nAnswer: 15703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*c = -18, 13*n - 5*c - 24 = 9*n. Solve 14*f + n = 8*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 48 (b) -1.7 (c) 0.03 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*1\/(2 + 1). Suppose 0*d = -d + 46. Suppose -2*i = 2*y + v*y - d, -3*i = 2*y - 21. Solve -5*n = -n - y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204*(-165)\/396 - -183.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.31 + -0.01. Let s = -2\/209 - 611\/1672. Let v = 11 + -8. What is the nearest to v in 1\/6, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108644437 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24a2aa8 (base 12) to base 15\nAnswer: 96c4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -922 - -63619\/69. Let r = -125\/897 - t. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 2*k**2 - 10*k**2 + 8*k**2 as l + j*k**2 + n*k and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r = w - 95*r, w = 5*r + 9 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/2, -851 in descending order.\nAnswer: 1, -5\/2, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/3, -40, -5, 0.06 in decreasing order.\nAnswer: 0.06, -2\/3, -4, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31700 and 4320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*c + 4*c + 151835, 3*r = -c + 91109. List the prime factors of r.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.103 + -0.10299621. What is d rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20319 + 774. List the prime factors of u.\nAnswer: 3, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 4\/143, 36.5.\nAnswer: -0.17, 4\/143, 36.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 16*y**2 - 1\/120*y**6 - 1\/24*y**4 + 0 - 2\/15*y**5 + 5\/6*y**3 + 0*y. What is the tens digit of j(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from cccmcfmmkm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3\/8 (b) 23 (c) 0 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13387*l*q**2 + 3*l*q - 2*l - q - 197 wrt q.\nAnswer: 26774*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b + 1000. Calculate v(108).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -6*f + 109. What is the remainder when 93 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 9*y**2 + 4. Let b be 28\/(-8)*(3 + -1). Let m = b + -2. Let z be l(m). Sort 5, z, -3.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*(6\/3)\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 33, 59, 87, 117, 149?\n\"Answer: i**2 + 21*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 204 - 7*l - 2*l**2 + 0*l**2 - 195. Let c be j(1). Let v(m) = -m. Let p(g) = -6*g - 2. Let k be 20\/6 - 2\/(-3). Determine c*p(y) + k*v(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o - 3. Suppose -52 = o*i + 180. Let l = -51 - i. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**2 + 428*v - 264.\nAnswer: 4*(v + 22)*(5*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiukokkx. What is prob of picking 1 u and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/60 + 31*i**4\/6 + i**3\/2 - 4852*i**2. Let r(z) = 3*z. Calculate a(r(j)).\nAnswer: -9*j**2 + 372*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15496 = 14*j - 47612. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8463135 (base 11) to base 14\nAnswer: 1da12a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 - 4*n - 3. Let y be h(4). Let i = y - 0. Let u = 5 - i. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -4 - (-20315)\/15 - (-5)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*y - 748*y**2 - 299*y + 88 + 741*y**2.\nAnswer: -7*y**2 + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 680*n + 427. Let o(t) = -61*t - 39. Calculate 23*o(h) + 2*w(h).\nAnswer: -43*h - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*w + 13070 = 0, 8*w - 3*w + 7874 = 3*d. List the prime factors of d.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 3*m, -2*m - 2*q = -3*q + 8. Let z be (-1)\/(-9)*41726 + m\/27. Let g = z - 2417. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31188 - 0.01188. Is -0.793 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39648 - 18792. List the prime factors of r.\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 120 = 3*w. Suppose 0*h = 4*h - w. Let y = h - 21\/4. Which is the nearest to 1\/2? (a) y (b) -1\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155\/66 + -42\/11. Let r = 133731\/22 - 6075. What is the common denominator of y and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 436\/75 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32586 - 11068. Suppose -35*y = -88*y + p. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/((-115)\/414)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 264604*l**3 + 17459508*l**2.\nAnswer: l**2*(l - 264538)*(l - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -286198 or -286196?\nAnswer: -286196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + b**2 - 3*b**2)*(b**2 - 4*b**2 + 4*b**2) + (-52*b**3 - 21*b**3 + 103*b**3)*(b + 6*b + b).\nAnswer: 238*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1016*b**2 + 20*b - 40. Let g(v) = -145*v**2 + 3*v - 6. What is 20*g(q) - 3*x(q)?\nAnswer: 148*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-77)\/14 + 1. Let -i*h**3 + 0 + 3\/2*h**2 - 1\/2*h + h**5 - 3\/2*h**4 = 0. What is h?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9 - 146. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-231))\/(1\/7).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 118. Let m(t) = -4*t - 14*t**2 + 6*t + 13 - n - 2*t - 8*t. Let j(g) = -g**2 - g + 1. What is 10*j(s) - m(s)?\nAnswer: 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 14*o**2 - 47*o - 19. Give z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 24. Let o be k(-19). What is the tens digit of (624\/(-20))\/(-4)*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -116?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 - 76. What is the smallest common multiple of 320 and j?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y\/(y\/((y*y**7*y)\/y))*y*y*y**(13\/2)\/y)\/(y*y\/((y\/(y**(1\/2)\/y))\/y))**(17\/3) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-22)*((-1220)\/(-100) - 13).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.2 times 0.1?\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 + 1 = 0. Let d(u) be the third derivative of u**5\/60 - u**4\/4 + u**3\/6 - 3*u**2. Let p be d(5). Sort m, p, 2 in descending order.\nAnswer: m, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 6, z: 12}. Give prob of picking 2 c.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6067, 6780, 7975, 9658, 11835, 14512, 17695?\n\"Answer: n**3 + 235*n**2 + n + 5830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2264412306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-150)\/1425 - (-225)\/513. Let b(y) = -y. Let j be b(-2). Suppose 10\/3*d**3 + 20*d + 37\/3*d**j + 12 + k*d**4 = 0. Calculate d.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*y - 1, 0 = 2*t + 5*y - 2*y - 7. Suppose -21 = -3*r + 3*d + 192, -5*d = t*r - 355. Calculate the remainder when r is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - (-2 - -1). Let r = -1553 + 1557. Which is the third smallest value? (a) r (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209704 is divided by 2073.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6354 - 4?\nAnswer: -6358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7\/9))\/(t\/((t**30*t)\/t)) assuming t is positive.\nAnswer: t**(263\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330 - 1514011?\nAnswer: -1514341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 78.79732mg?\nAnswer: 0.07879732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*(((f**(2\/7)\/f)\/f)\/f)\/f)\/(f*(f*((((f\/(f\/(f*f\/(f\/(f**5\/f)))*f))\/f)\/f)\/f)\/f*f)\/f*(f\/f**(2\/7))\/f*f) assuming f is positive.\nAnswer: f**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -31 (b) 0.4 (c) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*m = -3*h - 37, 0 = 4*h - 4*m + 32 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.759, 0.3, 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16220*n**2 + 16125*n - 95.\nAnswer: 5*(n + 1)*(3244*n - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((((v\/v**(-36)*v)\/v)\/v)\/v))\/(v\/v**14) assuming v is positive.\nAnswer: v**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 33*a - 2. Let p(v) = 152*v + 1268. What is p(d(g))?\nAnswer: 5016*g + 964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -11 + -39 - -36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3)*-3 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80.31 - 75. Let l = j + -0.31. What is the third smallest value in l, -0.2, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -308*s**2 - 8632*s + 5. Give f(-28).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4\/6 + o**3\/6 - 149*o. Let l(a) = a**2 - 7*a - 5. Let y be l(8). Suppose y = f - 0*f. Determine c(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(208) + -1 + sqrt(208) + 2 - (-2*sqrt(208)*-2 + sqrt(208))))**2*6.\nAnswer: -288*sqrt(13) + 11256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*q**5*s**2 - 84*q**4*s - q**2*s**2 + 11*q**2 - 2*q*s**2 - 59*q*s wrt q?\nAnswer: -2220*q**2*s**2 - 2016*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 431006151 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meememmeemmmqemqee. Give prob of sequence mq.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/3)\/((-45)\/54). Suppose u*f = f + 2. What is the tens digit of (-1492)\/(-22) - (120\/(-55) + f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3235*n. Let x(d) = -81*d**2. Calculate b(x(g)).\nAnswer: 262035*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -26472*w + 2038360. Give r(77).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, 5, 39?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27864 divided by 324.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 57*h - 33. Let q(c) = -56*c + 27. Give -7*q(z) - 6*s(z).\nAnswer: 50*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let l(f) = 3*f. Let t(i) = -2*b(i) + l(i). Let g be 1\/(-5) - (-16)\/5. What is t(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32550 divided by -2?\nAnswer: -16275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 0 - (-324)\/36)\/((-18)\/(-27)*-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4995851 and 2072?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from gpplgopbiglil?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-32)\/10)\/(5\/25). Let o(m) = -9*m + 33. Let z be o(r). Suppose 0 = -4*j - z + 347. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:03 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 21*s**3 + 2*s**2 + s - 23*s**3 to m*s + c + w*s**3 + x*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 6. Let o be f(-6). Suppose 7*c = -o*c + 3059. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0*n + n + n) + 3 - 3 - n + (-1 + 4 - 5)*(0*n + 2*n - 5*n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 2*m + 1 + m + 0*m. Let z be c(1). Do 3 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - -9. What is the remainder when v is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3291*x + 1095*x + 1100*x + 1098*x. Let s(d) = -967*d**2 - 4*d - 2. Calculate s(c(f)).\nAnswer: -3868*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3198*z + 2 + 421*z + 2251*z - 2.\nAnswer: 5870*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10*t + t = 0. Solve b - 2*c - 7 = 0, t = -5*b + 5*c + 22 + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -714*z + 2885. Determine o(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + 2*sqrt(3)).\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 906 = -2*m. Suppose m = v - 4*p, -4*v + 0*p + 655 = p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58909\/28 + -14722\/7. What is the second biggest value in x, -0.4, 93, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -88*d. Let r(c) = -325 - 11*c + 661 - 336. Determine r(j(a)).\nAnswer: 968*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 541969326*w + 24477562527074523.\nAnswer: 3*(w + 90328221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 29*m + 23. Determine u(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16629*w**2\/7 - 1579754*w\/7 + 95\/7 = 0. What is w?\nAnswer: -95, 1\/16629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + n. Let z(f) = f**2 + 7*f - 1. Let v be z(-7). Let d be p(v). Suppose -2*l + 9 = l - d*r, 2*l - 4*r = -4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9*p = 4*p + 27, 0 = 3*u + 5*p - 19. What are the prime factors of 6\/(-4) + (-23)\/u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 - 3*i - 14. Let b(w) = -4*w**2 - 4*w - 14. Let s(a) = -4*b(a) + 3*d(a). Calculate the remainder when 11 is divided by s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - u - 1. Let q(r) = r**2 - 2*r + 4. Give -2*q(s) + 4*t(s).\nAnswer: 2*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1165872 - 231?\nAnswer: -1166213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-8)*-2 + (-10)\/2. Suppose -5*w - 423 + 1578 = z. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451113393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 145, 567, 1269, 2251, 3513, 5055, 6877?\n\"Answer: 140*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10524416 and 575554?\nAnswer: 73670912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51546 and 1375?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/5 + 2*m**3 + 27*m**2\/5 + 2*m\/5 - 8 = 0. Calculate m.\nAnswer: -5, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*r + 157. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352849 divided by -7?\nAnswer: 50407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Let q = 1 + c. Let v = 11 - q. Calculate the remainder when 10 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1051 + -2.0051. What is the third biggest value in d, -2, 0.17, 67?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and ((-11)\/(-5))\/(21\/105).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 517, 1007, 1509, 2029, 2573, 3147, 3757?\n\"Answer: h**3 + 483*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let y be -2 + (0 + 5 - 2). Suppose 9*d + 15 = 4*d. Let v = y + d. Calculate j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:28 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)*g**(-1)\/g)\/(g*g*g**2\/g)**3 assuming g is positive.\nAnswer: g**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l + 98914 - 197826 + l**2 + 98913 + 5*l**3 to the form t + u*l**3 + k*l + g*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -375*g. Let k be m(1). Round k to the nearest 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) 70 (c) 1347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 + 90. What is the greatest common factor of j and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 186\/(-248) + (-23)\/(-4). Let c be -1 - (2*-2 - -1). Suppose -55 = c*r + 4*v - 143, r + m*v = 47. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(21\/(-126)). Is p > 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -6*j + 42. Suppose -j*h + 6 = -4*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 50*t**2 + 50*t - 135. Let o(u) = -3*u**2 - 3*u + 8. Suppose -89 = 6*s + 121. Let v(a) = s*o(a) - 2*m(a). Determine f so that v(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -47422*z. Let b(o) = 2*o**2. What is b(u(r))?\nAnswer: 4497692168*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8875318247 to the nearest integer?\nAnswer: 94209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*m + 23, 5*f + 24*m + 49 = 27*m for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901677 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*v + 19 + 20 + 20 - 56 to t + r*v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(75)*-1*6).\nAnswer: -1 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143\/9 or 0.18?\nAnswer: -143\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*q - 771 = 48*q + 3579 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 72 = -17. Suppose 3 = -o - z. Let f(r) = -r**2 - 11*r - 18. Let i be f(o). What is i rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 670 and 0.2.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142819 is divided by 3596?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*9 - 0)*114\/171. Solve -t*a + 3 = -17*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298282 bigger than -298280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b989 (base 16) to base 2.\nAnswer: 101011100110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/6 - 481*d**2 + 461264*d - 441088240\/3 = 0. What is d?\nAnswer: 908, 1070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 19\/27 (c) 2\/7 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131133032 - -30?\nAnswer: -131133002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6645 - 556?\nAnswer: -559.6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5994*o - 7992. Let i(l) = -l - 1. Determine -7992*i(g) + j(g).\nAnswer: 1998*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -104343 (base 6) in base 2?\nAnswer: -10001001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.76 - 3.66. Sort -0.3, 5, c, 0.3, -7 in increasing order.\nAnswer: -7, -0.3, c, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - n + 4*n - 24*n.\nAnswer: -21*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by 51.\nAnswer: 152\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 6:34 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103085263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 7) in base 14?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -12, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*p - 4*p. Let r be 195\/p*(-2)\/3. Let t = 17 - r. Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/4 + 14*j**3\/3 - 8*j**2 - 26*j - 111. List the prime factors of y(-10).\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*o - 4779 = 0, 3*p - 1188 = 2*p - 3*o. Let m be (61\/(-5) + 9)*160. Let n = m + p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111\/8 - 7629\/536. Does m = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.67 + 1.04. Let o = 2.63 + i. Which is the smallest value? (a) -0.3 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 30*v**2 - 65*v - 82. Calculate j(28).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**3 + 9*v**2 + 9. Let q be 6\/2*(-4 - -1). Let b(i) = -i**3 + i**2 + 1. Determine q*b(x) + u(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 15698*l**2 + 61528236*l - 616853160 = 0.\nAnswer: -7854, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 40 = -8. Let y(c) = c - 4. Calculate the lowest common multiple of 4 and y(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 2, f: 7, b: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.5, 1\/8, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 5*y**4\/2 + 7*y**2\/2 + 1. Let t(d) = 3*d**3 + 2*d. Determine -6*i(r) + 21*t(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*t + 38 = 0, 2*i = -0*t + t + 30. Suppose 0 = x + 5, -50 = -i*c + 12*c - 4*x. Does c = 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:14 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1b06 (base 12) to base 3\nAnswer: -11112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*o + o - 960, -o = 5*g + 975. Let y be -36*(-14)\/g*(6 - -1). Which is the nearest to 2\/11? (a) -5 (b) y (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 10 = 4*t. Suppose -g - 2*g - 12 = h, -t*h - 2*g + 2 = 0. Suppose 3*i = -3*w + 66, -i + 4 = h*w - 52. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + x**3 - 2 + 8 + 5*x**2 - 24*x**2 + 19*x**2. Calculate q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26940\/3592*((-54)\/5)\/(-2).\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xww when three letters picked without replacement from {o: 2, w: 8, x: 1, a: 1, y: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -72. Let n = -65 - -96. Let d = w - n. Solve 0 = d*m - 0 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -124*v**2 + 16*v + 24. Let h be (-4)\/(-16)*-18*2*1. Let y(m) = -31*m**2 + 4*m + 6. Let n(a) = h*y(a) + 2*d(a). List the prime factors of n(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204789?\nAnswer: 3, 13, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f - 2*f)*(-21 + 21 + 22*f)*(-272*f + 5 - 9*f**2 + 272*f).\nAnswer: 198*f**4 - 110*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40349 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 347*o + 14. List the prime factors of c(2).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6682 - 6628 - (0 - -18)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 271, 598, 1143, 1978, 3175, 4806?\nAnswer: 6943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103607, -103598, -103591, -103586?\n\"Answer: -l**2 + 12*l - 103618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsns when four letters picked without replacement from {n: 7, z: 1, s: 2, v: 2}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d - 132 = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - v**2 + 0*v**2)*(3*v + 0*v - 5*v) + (4 - 2 - 5)*(-90*v**3 + 2 + 214*v**3 - 34*v**2 - 117*v**3).\nAnswer: -25*v**3 + 102*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-2)*(-18)\/12*14. Let o be (-714)\/h - (-4)\/18. Solve -n = -3*d - 2*n + o, 8 = -4*d - 4*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - (2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyvtfvqm. Give prob of sequence vvtt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 101 = -34. Let t = -2 + f. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-20)*6*56\/(-12).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 14. Let w(f) = f**2 - 6*f + 2. Let x be w(6). What is y in 7\/2*y**5 + b - y + 9\/2*y**4 - 5\/2*y**3 - 9\/2*y**x = 0?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -31. Let v = h + 26. Factor -r**v + 2*r**2 - 5*r**2 + 4*r**3 + r**4 - r**2.\nAnswer: -r**2*(r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+252\nAnswer: 252.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*m - 566 + 332. Put -1, m, 3, 409 in descending order.\nAnswer: 409, 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 14*o**2 - 8*o - 178. Calculate y(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -3\/8, 0.7, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 139 + 69 + 92. Give z(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1616 + -1612. Solve -p*y + w = -8, 5*y - 20*w = -24*w + 31 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 19*c**2 - 9*c + 5. Let p be s(9). Solve p*j = -6 + 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 0.59. Let s = b + -4.6. What is the second biggest value in 1, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-50)*230\/(-552).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2280, 4555, 6826, 9093, 11356?\nAnswer: 13615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -129100*z**3 + 201068?\nAnswer: -387300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. Suppose -5*j + 17 + 13 = a. Let d = j + -2. Let m(y) = -y**3 + 5*y**2 - 3*y - 2. Determine m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9121*c**2 - 1512*c + 640170.\nAnswer: 18242*c - 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0331, 21, -4 in ascending order.\nAnswer: -4, 0.0331, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -14*a**2 - 74*a + 5. What is k(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*i**2*v**2 + 38*i**2*v - 233*i**2 + 16792*v**2 - 2*v - 1 wrt v.\nAnswer: 104*i**2 + 33584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - 3. Let p(h) = -2*h - 3. Let y be p(z). Let g = 4690 - 4685. Solve -g = -4*l + y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2780\/7 - 3816\/3339. Is 394 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 17\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7754925*w**3*y + 30*w**3 + 114*w**2 wrt y?\nAnswer: 7754925*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/2 + 5*h**3\/6 - 2*h. Find the second derivative of s(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14364 (base 9) to base 13\nAnswer: 45b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:41 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-21 - (-14 + 41 - -1 - -4)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 18179158*v\/5 - 82620446397241\/5.\nAnswer: -(v - 9089579)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6711 - 3164. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 501 and 7.\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-5)\/3 - -1). Let r = 82 - 86. Which is the nearest to r? (a) 3 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129 and 44.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 1, -4, -3.\nAnswer: -4, -3, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -32190.28 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 993687054580\nAnswer: -993687054580.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**7\/42 - 3*m**6\/50 - 7*m**5\/100 + 3*m**4\/20 + m**3\/15 + m - 12. Find s, given that k(s) = 0.\nAnswer: -1, -1\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 25 (c) 9 (d) -1\/7 (e) 30 (f) -4 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126475 divided by 5?\nAnswer: 25295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5910 and 125292.\nAnswer: 626460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - l = 1 - 2, -5*q - 5*l = 35. Let o be 170\/(-30) + (-2)\/(-3). What is the smallest common multiple of (q + o\/(-2))*4 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 14 - 11) + (-9 - 0) - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.140634 rounded to 3 dps?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3 + 9*m**2 + 4*m + 17. What is the remainder when x(-9) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184851 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 5. Let u = 214.1 - 214. Let q(m) = -5*m**3 - m**2 - 2*m - 1. Let z be q(-1). Sort z, u, l in increasing order.\nAnswer: l, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9765 + -186.0235. Is 75 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 2*f**2 - 2*f. Let g be 2*(-2)\/(1 - 3). Let x be 9\/g - (-3)\/6. Let p be c(x). Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 + -2687\/15. Let n = 840 + -839.9097. Let h = 0.9097 + n. What is the smallest value in h, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 1, s: 2, v: 1, n: 1, x: 1}. Give prob of sequence even.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-6)\/10)*995\/398\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 395, 396, 397, 398, 399?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-8\/9)\/(f*f\/(f**(-1)\/f))**35)\/(((f**0*f)\/f)**23*f**(4\/3)\/f**(-4\/5)) assuming f is positive.\nAnswer: f**(-6356\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**29\/h**(2\/13))**(-15\/4) assuming h is positive.\nAnswer: h**(-5625\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2 + 140727202*z - 140727204 = 0.\nAnswer: -70363602, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 433*m**6*x + 2*m**4 - 1282*m**3*x + 1467327*m**2 + m*x wrt m?\nAnswer: 51960*m**3*x + 48*m - 7692*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and ((-11)\/11)\/((-1)\/10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 600 + -632. Which is the nearest to -1? (a) -3 (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 362\/207 - 30\/23. Suppose 3*j = -2*i - 0*j - 12, -5*i + 4*j = -16. Determine c, given that i + n*c + 2\/9*c**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2616763?\nAnswer: 109, 24007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013363513 to six dps.\nAnswer: 0.013364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 + 5078*t + 454*t - 13*t**2.\nAnswer: -4*t**2 + 5532*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose -2*v + 5*m + 11 = 0, -v + w*m = 3*m. Suppose -2*p = -p - v. Solve -p*l = -l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -773780 + -223.22.\nAnswer: -774003.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 7, t: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (7 + -9)) + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*c + 34*c + 54*c + 7*c**3 + 68*c.\nAnswer: 7*c**3 + 47*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**4\/4 + 4*h**3\/3 - h**2\/2 + h - 33. Calculate b(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1 (b) -1\/3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 3\/(-2) - (-66)\/12. Solve -15*g - z*g**5 - 1382 - 10*g**2 + 20*g**3 - g**5 + 2784 - 1392 = 0 for g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4180, 8363, 12546, 16729, 20912, 25095?\n\"Answer: 4183*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 548 + 52*p**5 - 548 - 19*p wrt p.\nAnswer: 1040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 divided by 436.\nAnswer: 125\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 3 + 3)*(3*m**2 - 1 + 1) - 542*m**3 - 547*m**3 + 1088*m**3 + 125*m**2.\nAnswer: -7*m**3 + 125*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 4*i**2 - 2*i**2)*(0*i + i - 3*i) + i**3 + 4*i**2 - 4*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2 + 10*t + 414. Let l be u(0). Factor 207*o**3 + 208*o**3 + 4*o - 5*o + 18*o**2 - l*o**3 - 18*o.\nAnswer: o*(o - 1)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 0.9, 4, 3, -734\/95.\nAnswer: -734\/95, -1, 0.9, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254.54 + 159.\nAnswer: -95.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 18*y**2 + 11*y - 8. Give z(4).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -190, -168, -126, -58, 42, 180, 362?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w + 3*r - 6, 0 = 2*w + 4*r + 6. Let v be (-1)\/((w\/(-105))\/(-1)). Let o = v + 91. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 1. Let d = 0.4 - i. Let k = 0.1 - d. What is the smallest value in -2\/25, 1, k?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/(-4)*-1*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -589059282 - 124.5.\nAnswer: -589059406.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 7 + 5. Let h(w) = -w**3 - 6*w**2 - 2. Let b be h(l). What is the third smallest value in -2\/11, -4, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10669, 85345, 288067, 682867, 1333777, 2304829, 3660055?\nAnswer: 5463487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 214450*z**4 - 221838.\nAnswer: 857800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - 21*k**2 + 223*k + 25. Determine v(-13).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 826 + -1493. Let b = 666.999302 + c. What is b rounded to 5 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/66 - (-62)\/(-12). Suppose 4*v - f - 88 = f, 0 = 3*v + 4*f - 44. Put m, v, -4\/5 in decreasing order.\nAnswer: v, -4\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0 - 1\/9*i**3 + 1\/108*i**4 + 1\/180*i**5 - 17*i + 0*i**2. What is m in z(m) = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = -20. Suppose -r*a - q + 3*q + 66 = 0, 3*q - 160 = -4*a. What is the remainder when a is divided by 1 + -2 + (3 - -11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*p - 45*p + 27*p)*(-2*p**2 + 0*p**2 + 9*p**2) + (-4 + 4 + 1)*(-3*p**3 + p**3 + p**3).\nAnswer: -323*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117523 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 170*-0.01\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6902232 divided by 211.\nAnswer: -32712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3398 = -8*j - 1310. What is the remainder when j is divided by 86?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/24 and 9*(-3)\/9*(-254)\/(-252).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1400\/(-140)*(-9)\/330*(-8)\/6.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69652172208119 and -5?\nAnswer: 69652172208124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 9*v + 4*v - 5*v in the form f*v + a + g*v**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1729, -1029, 145, 1787, 3891?\nAnswer: 6451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (48\/21)\/4 - (-14688)\/168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + -8 + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11821579 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -9. Let u be 4 + -1743*(-3)\/d. Let o = 343 + u. Is o at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 39. Suppose 5*w + r = 7*w. Suppose -4*m - w*v = -m + 161992, m - v = -54002. Round m to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12, 2, 0.2, -0.12, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1255463630712 + -0.5.\nAnswer: -1255463630712.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(3)*2*5 - (-1*sqrt(243) - (sqrt(3)*2 + -2)**2).\nAnswer: -59*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(65)\/(sqrt(5) + sqrt(20)) - (1 + sqrt(1053))))*-3)**2.\nAnswer: -468*sqrt(13) + 8869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**12*j*j*j*j**(11\/6)*j*j\/(j*(j**(-3)\/j*j)\/j*j)*j**(1\/9))**(-6) assuming j is positive.\nAnswer: j**(-413\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -173?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**2 - 168*z - 2. Give a(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*a + 18*a + 422*a**2 + 18*a + 487*a**3 wrt a.\nAnswer: 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - 2\/(-4). Suppose -w + b*a + 23 = 2*a, -w = 3*a - 19. Calculate the remainder when w is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 248191 + 42?\nAnswer: 248213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, z: 3, v: 10, s: 2, o: 1, q: 2}. What is prob of picking 1 z and 2 q?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 62813811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -715*d**6 - 74*d**2 wrt d.\nAnswer: -85800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/9, 5, 69 in decreasing order.\nAnswer: 69, 5, -11\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46046 or -46047?\nAnswer: -46046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3488064)\/185)\/(9\/750). Round x to the nearest 10000.\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b - 308*b**2 + 306*b**2 + 14*b wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 351*d**2 + 1056*d - 12. What is v(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - 0) + -6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/188630 and -103\/2753998.\nAnswer: 13769990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/120 - 7*s**5\/60 + 7*s**4\/24 + s**3\/6 + 24*s**2. What is m(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16656 divided by 2776\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnxb when four letters picked without replacement from {w: 2, x: 1, b: 2, n: 8, s: 1}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(((-1170)\/75)\/(-26))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, t: 2}. What is prob of sequence tdtd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*m + 6*a - 5, 0 = -m - 5*a + 5. Solve -4*i = 4*p, 3*i = 4*p - m*i + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)\/(m\/(m\/(m*m\/(m*m\/m**(2\/9)))))*m**3\/m**2 assuming m is positive.\nAnswer: m**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 38, 63, 94, 131, 174, 223?\n\"Answer: 3*t**2 + 10*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, f: 2, a: 3, o: 3, t: 4}. Give prob of picking 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/15129 and 59\/13038?\nAnswer: 1603674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 17*w + 16*w + 9*w - 10*w. Let i(b) = -59*b - 22. Let h(y) = 43*y + 16. Let s(c) = 11*h(c) + 8*i(c). Give v(s(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12685, -12681, -12675, -12667?\n\"Answer: o**2 + o - 12687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66661017 to the power of 1\/2, to the nearest integer?\nAnswer: 8165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 1 + 5\/4*j**4 + 10*j - 15\/2*j**2 + 0*j**3. Find a, given that h(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 + 6*a - 2. Let t be y(5). Let c = t + 0. Factor 2\/5 + 0*o**2 + 4\/5*o - 2\/5*o**4 - 4\/5*o**c.\nAnswer: -2*(o - 1)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*n + 25 - 7, -4*n = -3*b - 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 6*a - 25. Let v be u(-9). Let r(c) be the first derivative of -1 - 1\/2*c**4 + 2*c + 0*c**v + 0*c**3. Differentiate r(b) wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1476, 1983, 2490, 2997, 3504, 4011?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -1651*k**5\/60 + 92*k**2 - 4. Let s(i) = 2*i**2. What is s(w(r))?\nAnswer: 5451602*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 8:02 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58982466 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150464943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*l = -20, -3*l - 4 = -1. Let f be 580\/(-25)*-1 - (-1)\/n. Calculate the highest common divisor of 207 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075669?\nAnswer: 13, 23, 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 7*b**4\/12 + 5*b**3\/6 + 2*b**2. Let n(y) = -3 - 5*y + 3*y - 7*y. What is 5*d(a) + 8*n(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -248? (a) 0.1 (b) 203 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.1. Let t = -124 + 126.96. Let p = t + 0.04. What is the nearest to q in 0, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56204 is divided by 1483.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361084, -722165, -1083230, -1444273, -1805288, -2166269?\nAnswer: -2527210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -26\/5. Let s be ((-111)\/45 + 3)\/((-4)\/(-10)). Let r be (-1)\/(-2) - 34\/52. Which is the closest to 0.1? (a) u (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/2)\/(-20*915\/(-207400))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b**3 - 3*b**2 + 3. Determine l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 52 + 92 + 28 + 10 + 101*q + 20. What are the prime factors of k(6)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b + 0*b)*(0*b - 5*b + 4*b) + 8*b**3 + 35 - 35.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 58 - 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527, 640, 753?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k + k**3 + 80*k - 7*k + 19*k.\nAnswer: k**3 + 120*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**4 + 7*f**3 - 33*f**2 + 45*f. Let o(x) = 7*x**4 + 4*x**3 - 17*x**2 + 22*x. Let i(p) = 9*o(p) - 4*t(p). Factor i(m).\nAnswer: -m*(m - 3)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -20 + -4 + 20 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, g: 2, z: 3}. Give prob of picking 1 m, 2 z, and 1 g.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 356, 384, 434, 512, 624?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**2 + 161*x**2 - 38*x**2 - 33*x**2 - 38*x**2 - 25*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2125068267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 + 532 - 328 = 1637*h - 1193 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Let r(t) = -53 + 68*t - 139*t**2 - 139*t**2 + 271*t**2. Let d(c) = -2*c**2 + 23*c - 18. Let x(u) = n*d(u) - 3*r(u). Factor x(p).\nAnswer: 5*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**3 + 4*v**2 + 3*v + 1. Let w be j(-2). Let p(h) = 3*h**2 + 3*h - 5. Let s be p(1). Let u be -4 + (-232)\/24 + s. Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1053, 30, -16 in decreasing order.\nAnswer: 1053, 30, -16, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*p - 48*p + 75*p)*(-1 + 1 + 2).\nAnswer: -76*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 13*g**2 + 17*g + 24. Let t be y(-11). Let k = t + -46. Suppose -k = -13*o - 7. Put o, 7, -2 in decreasing order.\nAnswer: 7, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691015 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: Suppose 2 + 2 = 2*h. Suppose 4*o - o - 11 = y, 0 = 5*y + 4*o - h. Let t = 27 + y. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 11. Let o(s) = -s**3 + 14*s**2 - 16*s + 28. Let k be o(13). Determine q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 2*j)*(3*j + j + 4*j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 724.7 to the nearest ten.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44445, 355614, 1200225, 2845002, 5556669, 9601950?\n\"Answer: 44454*g**3 - 3*g**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2830673, 2830731, 2830789, 2830847?\n\"Answer: 58*f + 2830615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -626, 3420, -2 in increasing order.\nAnswer: -626, -4, -2, 7, 3420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*((v**(-19)*v)\/v)\/v)\/v)*(v*(v\/(v\/(v*v**(6\/7)))*v)\/v)\/v*(v**(-3\/28)*v)\/v**(-2\/33) assuming v is positive.\nAnswer: v**(3143\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*q, 3*s + 2*q - 23 = -3. Suppose -s*a + 4278 = -3*c, -2*c - 5346 = -5*a + c. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -978, -304, 382, 1086, 1814, 2572, 3366, 4202?\nAnswer: 5086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.3, 10, 156?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1389336 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 2*s**2 - s + 1. Let r be b(2). Suppose 5*k - 1 = -o - 10, 5*o - r = k. Let x be (-1)\/(-2 + (1 - k)). Sort 3, x, 0 in increasing order.\nAnswer: x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.722 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, 0.3, 189?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b5 - -24712?\nAnswer: 2445d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12890*u. Let h(k) = -865*k**2. Calculate m(h(b)).\nAnswer: -11149850*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191566*r + 191624*r + 1191 = -317 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402352559.\nAnswer: 7, 57478937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 4, l: 2}. What is prob of picking 2 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 13*g - 22*g - 34*g**2.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46948600 + 0.13?\nAnswer: 46948600.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-21))\/(40*23\/4830)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1462\/38127?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 579245587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skqosoiossosssk. Give prob of picking 1 o, 2 s, and 1 k.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-24)*-2 + -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-300)\/(-27))*(48\/(-9))\/(-2)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.7233l to millilitres.\nAnswer: 55723.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10)*((((c*c*c**(-1)*c)\/c)\/c)\/c)\/c)\/(((c\/c**(4\/3))\/c)\/c*c*c\/(c**7\/c)*c) assuming c is positive.\nAnswer: c**(103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 2*q + 26*q**2 - 2*q + 2*q**2.\nAnswer: 28*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -6, 45, 2, 4.5, -1 in descending order.\nAnswer: 45, 4.5, 2, -0.3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-6) + 1 + 0. Suppose d - 5*d - 164 = -4*s, 0 = 3*s + 2*d - 128. Let r = s + -83\/2. Which is the smallest value? (a) r (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*b + 0*v - 8 = -79*b + 2*v - 3*v, -7*v + 7 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -67, -75, -75, -61?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 100*q**2 - 415*q + 91. What is a(-104)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 7\/6 (c) 0 (d) -2785 (e) 1\/2 (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5412 (base 8) in base 3?\nAnswer: 10212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 233 (b) -4 (c) -4\/7 (d) -1\/3 (e) -1546 (f) -0.2 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/((f**(-3\/4)*f)\/f*f))\/(f**(1\/3)\/f*f**(-3))*((f\/(f*f**3))\/(f*f*f*((f**(-3)*f)\/f)\/f*f*f))\/f**47 assuming f is positive.\nAnswer: f**(-607\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -19884.\nAnswer: 19884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*y + 390, 7 = 2*y + 1. Let r = q - 31. Solve 4*x - r = -7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94914033?\nAnswer: 3, 31, 433, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21311*x**3 + x**2 + 2*x + 7975.\nAnswer: 63933*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158*(-147)\/(-54194)*-1*(-2)\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4794638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/111226 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 26. Let j(m) = 2*m**2 - 5*m - 37. Let d = 461 - 465. Calculate the remainder when f is divided by j(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2439 is divided by 2426?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - 622*u - 1627. Calculate c(-123).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/36 and -83\/1656?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1923*x**2. Let s(j) = 1669*j. Determine a(s(z)).\nAnswer: 5356633803*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 65*b + 31. What is g(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 10*x**2 + x - 11. Let j be o(10). Put -2, j, 3 in increasing order.\nAnswer: -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - i - 22 - 5*i.\nAnswer: -4*i - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -446 (base 8) to base 6\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590 = 189*p - 159 + 2404 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/3 + 2*g**3\/3 + 80*g**2\/3 - 224*g\/3.\nAnswer: -2*g*(g - 4)**2*(g + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -66304a?\nAnswer: 663052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 368325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.17 + -1.87. Put 5, i, -1 in increasing order.\nAnswer: -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.12 * 1.60297.\nAnswer: 3.3982964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 126 = 3*m. Suppose k + 6*k + m = 0. Let s(w) = 11*w**3 + 11*w**2 - 4. Let b(q) = 5*q**3 + 5*q**2 - 2. What is k*b(f) + 4*s(f)?\nAnswer: -f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-6)*(-1)\/((-1)\/38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8642348, 8642383, 8642418?\n\"Answer: 35*s + 8642313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 2, d: 1, t: 4}. Give prob of picking 2 y.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4608 times -7\nAnswer: -32256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*f + 422*f + 3680 = -156*f. Let s(x) = x**2 + 5*x - 8. Let o be s(-6). Let t be o*1\/(-5)*-1. What is the closest to -1 in f, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(4 - 4 + 2*n) + 7*n + 7*n - 55*n - 76*n + 35*n + 54*n)*(5 + n**2 - 5).\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7438.274 grams to kilograms.\nAnswer: 7.438274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose 0 = -5*u, -4*i + d*i + 8 = 4*u. Suppose 3*s = -i*s + 35. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r + 15*r + 17*r + 22*r - 44*r - 35*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*r + 4. Suppose 0 = -r*p - p + 25. What is the remainder when 19 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 33?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 624, 1237, 1860, 2499, 3160?\n\"Answer: y**3 - y**2 + 609*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 5*a**2\/2 - 2*a + 60. Let c(y) = 16*y - 6. Determine 2*c(i) - 7*m(i).\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1018 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*v + 18. Let m(r) be the first derivative of r**3 - r**2\/2 - 1. Let s be m(v). Solve c = b + 1, -s*b + 6*b = -4*c + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = c - 14. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 12) to base 4\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2033 * 102016\nAnswer: 207398528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/14 + 121*d**4\/21 - 992*d**3\/7 + 1152*d**2\/7 + 343*d. Factor a(b).\nAnswer: -2*(b - 24)**2*(5*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from phplhphhhplhp?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13766976 by -8928.\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -673\/11. Which is the closest to 1\/2? (a) o (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 384037?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x**2 + 21*x**2 + 24*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10000*m - 16203 = 9989*m. What are the prime factors of m?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f - 5. Let h(b) = -14*b - 4. Let x(j) = -5*h(j) + 4*w(j). Let t(k) be the third derivative of 163*k**4\/24 - 7*k**2 - 15. Give x(t(g)).\nAnswer: 326*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -0.5, 19219?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - s + 0*s)*(-105 - 78*s - 102 + 209)*(-4 - 1 + 4 + (-1 - 5 + 4)*(2 + 4 - 4) + 4 + 1 - 3) to r + d*s + q*s**2 and give q.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50934.2936 - 50904. Let p = w + -29.1636049. Let o = 1.13 - p. Round o to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-2584)*-595*12\/(-28).\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*g - 3*g. Is -3 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)\/(1\/2). Let w = -484 - -500. Calculate the highest common divisor of t and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-1\/2))\/o)**(8\/7)\/(o*o*o\/o**(-1))**(-42) assuming o is positive.\nAnswer: o**(1188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*c*m**3*p**2 - 63*c*m**3*y**3 + 13*c*m**2*p - 2*c*m*p**2*y**2 - 65*c*p**2 - 2*c*p*y**3 wrt m?\nAnswer: -126*c*p**2 - 378*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -255268.\nAnswer: 43\/127634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -15*g**2 - 142*g - 711. Give r(-5).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaggggtgjtqtgtgtgtgg. What is prob of sequence gajg?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -16*q + q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -805*b**6\/2 - 589*b**2\/2 - 6*b + 1994. What is the second derivative of z(n) wrt n?\nAnswer: -48300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = -k - 5, -2 = -2*c - 2*k. Let p(h) = 5*h**2 + 2*h - 1. What is the tens digit of p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2182.7, -1, -29\/14?\nAnswer: -2182.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 1\/2385 (c) 1 (d) 2\/7 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.649868 - -0.03029?\nAnswer: -98.619578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 26 = 20. Let x = f + -41. Suppose 0 = -x*d - 5*a + 185, d + 2*d + 4*a - 110 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Suppose k = 2*j - 3*j. Sort j, 4, 5.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115296783 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859704244.\nAnswer: 2, 7, 30703723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m + 43 + 23 = -184 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 6*u + 355, -3*b - u - 43912 + 44125 = 0 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35062335 (base 8) in base 9?\nAnswer: -15315572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1\/2, -7\/3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 133 - (-5 + 7 + -5 + (2 - 6)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((-1 - (-10 - -7 - -3)) + -1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 197.3887 nanometers?\nAnswer: 0.0000001973887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyqc when four letters picked without replacement from {i: 1, n: 4, c: 1, q: 2, h: 3, y: 4}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0 (c) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + (3 - 2). Suppose 2*m - 42 = -g*m. Suppose -46 = -4*s - q, -q + 38 - 3 = 3*s. Calculate the remainder when m is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5515 - 2752 + 6*m - 2764.\nAnswer: 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4077 and 156285?\nAnswer: 468855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 8*l. Let s(k) = k**2 + 6*k + 3. Let n be s(-4). Let o(r) = 10*r - 11*r**2 + 7*r + 4*r**2 + 1. Let q(t) = n*g(t) + 2*o(t). What is q(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 5*v**3\/3 - 7805*v**2 + 12183605*v + 2765. Solve h(u) = 0.\nAnswer: 1561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 8*r**2 + 5. Let y be i(-8). Suppose 0 = 2*a - y*h + 22, -4*a + 0*h = -h + 26. Let n be (-2)\/56 - a\/21. Sort 2, n, 1\/3 in descending order.\nAnswer: 2, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = 3*r - 1027. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 - 2105 = -2*q + 2*f, 3*q - 2987 = -2*f. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 11*g + 26. Let s be b(14). Let d be -21*(s\/154 + (-20)\/110). What is the greatest common factor of d and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**46*s*s*s)\/s*s**(-2\/27))\/((s\/((s\/s**(-30))\/s*s*s*s))\/(s\/((s\/s**(1\/37))\/s))) assuming s is positive.\nAnswer: s**(81871\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l + 4*x - 12, 0 = 4*l - 5*x + 12. What is the second derivative of -z**l - 3*z - 7*z**2 + z + z**2 wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.98 + 1.18. Let x = -312 - -2188\/7. Let n = 1.168 - 1.068. Which is the nearest to u? (a) -1\/3 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 6*a - 6. Let d(q) = q**3 - 6*q**2 - q + 8. Let v be d(6). Suppose -o - 5*k + 17 = -3*o, -v*k + 14 = o. What is s(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**2 + 730*d - 1440 = 0.\nAnswer: 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbut. Give prob of sequence bu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 3*i, 6*i - i - 3 = n. Suppose n*h - 125 = 157. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Let t be d(4). Let n = -2689 + 2691.6768. Let q = -0.0768 + n. Which is greater: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -21, -64, -135, -240, -385?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*b**2*w - 5*b**2 + 169*b - 4376508*w + 7982 wrt w.\nAnswer: -9*b**2 - 4376508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5553354, -22213417, -49980188, -88853667, -138833854?\nAnswer: -199920749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5988.8476085 and -1?\nAnswer: 5987.8476085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600\/27 - -4*(-1)\/18.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**28\/y)*y**(5\/6)*(y\/y**25*y)\/y*y\/(y**(5\/7)\/y*y) assuming y is positive.\nAnswer: y**(-2053\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w - 17. Let j be i(3). Which is bigger: j or 9\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (675\/(25\/5))\/(-1 - -2). Let i = z + -41. Let o = i - 94. Solve o = 4*c - 2 + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 182*f - 893. What is i(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 680617699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - v**2 + 7*v - 25. Let a(q) = q**2 + q. Give -2*a(t) - g(t).\nAnswer: -2*t**3 - t**2 - 9*t + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54109957 > 54109953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -608.67 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/23 and -48\/529?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.576649 grams to milligrams.\nAnswer: 576.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-8)\/(-2))*78*(-18)\/324\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210929 is divided by 70301?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*m**6 + 175*m**2 wrt m.\nAnswer: 3240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.06 = -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 927567931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710*u + 5184 = 1286*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}