diff --git "a/data/dm_maths/full_data_1/2237_11255.jsonl" "b/data/dm_maths/full_data_1/2237_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2237_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let r = -5 + -2. Let u = r - -11. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)*d**(-15)\/d)**(1\/2) assuming d is positive.\nAnswer: d**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 50?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of ((-380620)\/22)\/(-5) - 32\/176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27420*p = 375505 + 364835 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 + 61. Let j = 61 + k. Let r(l) = -j*l - 74 + 74. Let n(g) = 2*g**2. What is r(n(w))?\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11))*-1*-1 + -5 + (1*sqrt(99))**2.\nAnswer: sqrt(11) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 11 + 410\/70 + 320\/280?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 27, 5, 0.020128?\nAnswer: 0.020128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 33103*j**2 + 3*j**3 + 66215*j**2 - 33108*j**2 + 101 to the form l*j**3 + b*j + r + i*j**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:38 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 0*d - 1\/5*d**4 - 1\/5*d**2 + 2\/5*d**3 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.87 + -0.53. Let h = a + 35.4. Let f = -30.00000019 + h. What is f rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 7*b + 10. Let t be w(-8). Let n = 28 - 24. Let o be ((-11)\/3 + n)*(17 + -2). Solve t = i + o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 3*p - 3 + 5*p - 1 with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 1625*u**2 + 251870*u + 497200.\nAnswer: -5*(u - 440)*(u + 2)*(u + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, -3, 3, 1594, 1 in decreasing order.\nAnswer: 1594, 14, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23793 + 218 = 13*b. What is b rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -487*r + 245*r + 240*r. Let a(q) = -q + 1. Let p = -2 - -5. Let k(n) = -10*n + 3. Let x(t) = p*a(t) - k(t). What is v(x(m))?\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Let q be 4 + -13 - -7 - (-64)\/36. Is q != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*x - 18 = 0, a - x - 5 = -2. Suppose -3*m = -6*m + a. Let r be (2\/2 + -2)*-3. Sort m, r, 0.\nAnswer: 0, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b94c (base 13) in base 5?\nAnswer: 20343212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7280.1 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v*v**1)*v*v*((v\/v**(2\/15))\/v)\/v)\/(v*v**(2\/11)*v*v**(-4)))\/(v\/(v*v*v**(-5)\/v)*v*v*v*v**(2\/3)*v**(-1)*(v**(-2\/19)\/v)\/v) assuming v is positive.\nAnswer: v**(-6141\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 - 18440*l**3 + 293485*l**2 + 1009610*l + 697680 = 0. What is l?\nAnswer: -2, -1, 19, 3672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152761 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 4, n: 2, j: 2, k: 1}. Give prob of picking 1 z, 1 n, and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:00 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2. Let v(y) = y - 1. Let j(p) = -9*p + 2. Suppose -3*u - 1 = h + 10, -4 = u. Let s(d) = h*j(d) + 2*v(d). What is m(s(l))?\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieieeeeieieeeeide. Give prob of sequence di.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*l - 6. Find the second derivative of 4*d + 3*d - 3*d**l - 13*d wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/7 + 4\/14 - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403841 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-204)\/8)*22. Suppose -q = -v + 67 + t, -v - q + 640 = 0. Let z = v - 286. Is z 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 3:24 AM and 5:48 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10849\/10 + -1082. Let k be ((-28)\/(-6))\/(2\/96). What is the common denominator of 582\/k - (-4)\/(-14) and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/(6\/(-15)). Suppose d*z = z. Suppose -3*n - 3*v + 17 = 2, -3*n + v = -7. Solve -n*a + z = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30714197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-166)\/(-18) - 27\/(486\/4). Put m, 13, 5 in ascending order.\nAnswer: 5, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (-4*sqrt(150) + sqrt(150))\/sqrt(3) + ((3*sqrt(250))\/sqrt(5) - sqrt(50))).\nAnswer: -25*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5026694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**4 + 260*i**3 - 1110*i**2 - 3020*i - 1645 = 0.\nAnswer: -1, 7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081 + 1213 = 11*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 20547?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943980291?\nAnswer: 3, 34962233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(360) - (-2 + sqrt(20)\/sqrt(4))**2.\nAnswer: -9 + 25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 3*c - 2. Let l be u(-1). Suppose v = -y - l*y + 765, -v = y - 762. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500817 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2\/4 - 95223399*m + 3022498572371067 = 0. Calculate m.\nAnswer: 63482266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(2\/7))\/f)**21*(f**(-1))**(2\/35) assuming f is positive.\nAnswer: f**(523\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6 = 3*t, -12*t + 4 = 5*h - 14*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(2 + sqrt(1573))**2 + sqrt(1573) - sqrt(1573)) + 0 + 3 + 1 + 1)*-6.\nAnswer: 3168*sqrt(13) + 113514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 105\/(-14)*(-4)\/1. Let x be v\/9*24\/10. Suppose x = 3*d - 2*d. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight fifths of a day?\nAnswer: 13824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/810 and -77\/114?\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*z + 119. Which is smaller: -18 or z?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*r + r. Let b = 6 + r. What is the units digit of 16\/(-6)*9\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from oyooyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 220*i - 4317. Determine x(16).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + z**3 + z**5 + (2 - 1 + 0)*(2*z**5 - 9 + 9) + 26*z**5 - 8*z**4 + 10*z**4 - 5*z**5.\nAnswer: 24*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - k - 12 = 1, -5*x = -5*k - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 22\/3, 2, 1\/31, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 732\/48 + (-1)\/4. Let b be (24\/(-20))\/(t\/(-100)). Solve 6*g - b = 8*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - m = -29, 525051*j - 2*m - 14 = 525049*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 1.95. Let l be -11 + 0 + ((-3248)\/145)\/(-2). Sort l, x, -3, -2 in ascending order.\nAnswer: -3, -2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 26*f - 27*f - 2 = 0, -3*f = -5*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 7*l**2 + 3. Let f be a(-7). Let k(t) = 3*t + 2 - 3*t + 0 - t - t**f. Give k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336305, -336346, -336413, -336506, -336625, -336770?\nAnswer: -336941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -65864520.\nAnswer: -65864520.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 495*b - 48947. Give p(99).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:28 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 632?\nAnswer: -631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Let q = 0.23 - 0.23. What is the nearest to q in -1, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -638, -1277, -1916, -2555, -3194, -3833?\n\"Answer: -639*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let t be (i\/2 + -1)*-16. Suppose -4*j = -0*j - t. Solve v - 2 = j*r + 6, 5*r + 3*v = -20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001195017 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -697686 or -697695?\nAnswer: -697695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - c + 1. Let l be b(0). Let d be -3 - (0 - 4 - l). Is -2 + 16 + d + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -33\/941?\nAnswer: -33\/941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574657?\nAnswer: 574657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5084\/(-217) + 22)\/((-6)\/14)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2 + 0*h + 1\/20*h**5 + 1 + 0*h**4 - 5\/6*h**3. Let s(m) be the second derivative of y(m). Differentiate s(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133 + 142. Suppose 0 = 3*n - m + 3. Solve 3*r - 4*h + h - 9 = 0, -2*h + 14 = n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 3525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, u: 1, i: 5, n: 1, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 + c - 12*c**2 - 4*c - 4*c - 12. Let h be o(9). Suppose -18400 = -2*s - h*s. Round s to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -63 - -3 - (2 - (0 + 3)). Suppose 0 = 2*b - b + 36. Let t = b - h. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 18498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*z - 7502 = 0, -4*z = -7*z + 3. Suppose -13*p = -41*p + r. What is the greatest common factor of 603 and p?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q**4 - 203*q**2 - 369*q - 465137 wrt q.\nAnswer: 8*q**3 - 406*q - 369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 10 (c) -3.13 (d) 190 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 take away 0.4?\nAnswer: 1442.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38633 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: Sort 0.2, 0.1, 54, 4, 303, -3 in descending order.\nAnswer: 303, 54, 4, 0.2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 531745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 23 + -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 187\/3 (b) -0.06 (c) -1 (d) 2093\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.8 + 7. Which is the nearest to -2\/5? (a) 0.1 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2430, -5, -3, 2, -1 in increasing order.\nAnswer: -2430, -5, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**2\/2 + l + 2609. Let v = 127 - 125. Let s(z) = -6*z - 2. Determine v*p(a) + 2*s(a).\nAnswer: -14*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -47. Suppose 4*c + j = 3*d - 8*d, -2*d + 26 = -5*c. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:09 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpb when three letters picked without replacement from zzzbapazpazaazabzz.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4275 and 1152.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(85) + sqrt(85)*-1)\/sqrt(5) + ((sqrt(85)*2 + sqrt(85))\/sqrt(5))**2 + -5.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63702, 127175, 190458, 253545, 316430, 379107, 441570?\n\"Answer: -m**3 - 89*m**2 + 63747*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2902753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 14*p + 11. Let d = 71 - 77. Let i(l) = l**2 - 13*l + 10. Let a(f) = d*j(f) + 7*i(f). Calculate a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 3, 1, 0.0902?\nAnswer: 0.0902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -980, -844, -478, 232, 1400, 3140, 5566, 8792?\n\"Answer: 19*r**3 + r**2 - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by ((-14)\/(-12))\/(3\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -553*n**6 - 299*n**2 wrt n.\nAnswer: -66360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5164 - -2.6164. What is the nearest to 9 in p, 1\/40, 0.05?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by -21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 6, j: 3, c: 2, v: 7}. Give prob of sequence ggc.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, q: 3}. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c\/(c**(-7\/4)\/c)))\/(c\/c**(-2\/25)*c*c**(-1)) assuming c is positive.\nAnswer: c**(-83\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*w - 16*w - 1 - 2 + 2 - 46*w.\nAnswer: -145*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/33 (b) 1 (c) -2\/15 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422 divided by -474?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11776\/11 - 1984\/11*r + 10*r**2 - 2\/11*r**3.\nAnswer: -2*(r - 23)*(r - 16)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7 + 0)*(-4 + 6 + 5)*(-6*g - 4*g - 6*g) to the form o*g + j and give o.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 8 = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -45814*p + 55. Let w be u(1). Is w\/14*(-30)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 2\/7, 1\/2, 1.\nAnswer: 0.04, 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 1, q: 2, t: 6, g: 2, j: 4}. Give prob of picking 1 j and 2 q.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/(k\/k**4)*k**(4\/3)*k**4)**(3\/37) assuming k is positive.\nAnswer: k**(4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) -19 (c) -1.62 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + o - 1 + 10, -27 = -3*u - 3*o. Calculate the smallest common multiple of u and (22\/4)\/((-2)\/(-4)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 14*y + 3. Let z(f) = f**2 - 27*f - 6. Let r(m) = -11*a(m) - 6*z(m). Let x(o) = o**2. Let p(b) = r(b) - 6*x(b). Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 0 = -4*z - 2*m - 3825694 + 14441198. Suppose o + 853876 = z. Round o to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*s - 40, 2*s + 11*v - 7*v = 18 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {i: 1, b: 2, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8559 + -67?\nAnswer: -8615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 85*u + 8*u.\nAnswer: 94*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/4 - -1)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 6 = -2*f, -4*f = 34*v - 39*v - 58 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 5, 3\/19, -7, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10029240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*1.640338.\nAnswer: -42.648788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 80. What are the prime factors of d(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*o**2 + 3*o**2 - 19.\nAnswer: -o**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 17, -1\/1273?\nAnswer: -1\/1273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejv when three letters picked without replacement from {n: 1, e: 2, v: 1, j: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11507 at most as big as 11500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85872 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.203 - 138\nAnswer: -138.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 less than or equal to 1505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/114828 and -87\/891284.\nAnswer: 18716964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17672 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/2)*n)**(3\/4)\/((n*n*n**(-2\/11)\/n)\/n*n)**(-1\/20))\/((n**(1\/8)*n\/(n*n**(-2))*n)\/(n*n\/(n\/(n\/n**(2\/9))))**19) assuming n is positive.\nAnswer: n**(63001\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 0.4 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121039377 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-4)*z)\/z*z**6)**(-1\/19)*(z**(2\/5))**(3\/16)\/((z\/(z**2\/z))\/((z*z\/(z*z**(2\/7)\/z))\/z)) assuming z is positive.\nAnswer: z**(839\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -532ba - -3?\nAnswer: -532b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4157723515 to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 322262737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14719 less than 1045009\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1278.\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Does 12 divide d(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14598 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a8 - 873?\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/418528 and -27\/7?\nAnswer: 2929696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-77)\/14 - -7)*2. Suppose 0 = 2*d + 5*h - 26111, -b*h = 4*d - 1147 - 51082. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1 (c) -3 (d) -296\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -82. Let s = 57 - c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwgrgwrmy. What is prob of picking 1 y, 1 g, and 2 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**2 + 6*h - 6*h + 6*h**2 - 4*h**2.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/(0 + (-1)\/3). Let j = -266 - d. Let b = -132 - j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -49*l + 98*l - 50*l. Let y(v) = 17*v**2. Give y(w(h)).\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 5. Suppose 0 = -5*x + 6*x - 8. Suppose -x*i + 42 = -6*i. Let n be 1\/(-2) + i\/(-6). Give v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.0015172us to days.\nAnswer: 0.000000000127332375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1508828 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 14.26. What is n rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1561.4 + -1433. Let f = -129 + r. Which is smaller: f or 1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3436462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -210003030?\nAnswer: 210003002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 1. Let c(n) = -11*n + 15. Let q(r) = c(r) + 5*j(r). Determine q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5582278\/45 or -124051?\nAnswer: -124051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 5*b + 3*r, 3*b - 68 = 2*b - 4*r. Let g = -141 - -291. Calculate the greatest common divisor of g and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 + 6. Let b = -0.27 + -0.03. What is the smallest value in d, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100014 by -1.\nAnswer: -100014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1370, -7.\nAnswer: -1370, -14, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -15. Which is the second smallest value? (a) k (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 66181003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 7.8. Which is the third biggest value? (a) w (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p + 19*p + 32*p)*(0*p**4 + p**4 - 2*p**4) + 0*p**5 + 3*p**5 + p**5.\nAnswer: -35*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10760\/298590 - (-58850)\/(-555)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 2\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 8\/45, 4, 0, 3\/7 in ascending order.\nAnswer: -3\/4, 0, 8\/45, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 10*a - 3. Suppose w = -8*w - 54. What is the remainder when 43 is divided by g(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 12 = c. Put c, 3, -1, -4 in ascending order.\nAnswer: -4, -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:45 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -2)*2\/(-3). Let m be (-517)\/(-99) + 4\/(-18). Sort -4, m, l in descending order.\nAnswer: m, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009603 to five dps.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-122)\/(-122)*3\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415 divided by 805?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 5 (b) -0.43 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**2 + g + 6. Let q(r) be the second derivative of r**4\/12 + r**2\/2 - 19*r. Determine -c(n) + 4*q(n).\nAnswer: -4*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 18304\nAnswer: 12812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + (-3 - -5)\/(1\/(-3)). Solve -7*r + 10*r - 3 = 3*p, 5*r = -5*p + h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45))\/((-42)\/(-6930))*4.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*j**2*r**2 - 7588*j**2 + 2*j*r + 188*r**3 wrt r?\nAnswer: -32*j**2*r + 2*j + 564*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211512 is divided by 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6 + (7 - 3450\/184).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shshorqoosssooot. Give prob of sequence hr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 12:12 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -563, -5 in decreasing order.\nAnswer: 0, -2, -5, -563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -18*k - 6*k - 2*k. Let o(a) = a**2 + 18*a - 18*a. What is s(o(y))?\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51083169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36369977.\nAnswer: 7, 379, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 623*i**4*z**2 + 1124*z**2 wrt i.\nAnswer: 2492*i**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -2112?\nAnswer: -2111.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39092, 76741, 111500, 141923, 166564?\n\"Answer: -241*l**3 + l**2 + 39333*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 16 - 2)*(0*f - f + 3*f)*(-14 + 8 - 42)*(1 + 2 - 2)*(2 + 5 - 4) in the form l*f + c and give l.\nAnswer: 3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 4. Let o be l(-3). Put o, -4, 4 in descending order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17*f**(-2)\/f assuming f is positive.\nAnswer: f**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.5 - -24. Let h = -4 - -4.3. What is the smallest value in w, h, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 280\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698.3841 kilometers to meters.\nAnswer: 698384.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x - 29. What is j(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.188 + -107.188. Let t = d - -106.99861. Round t to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 + 5*h + 3. Let w be i(-5). Suppose 2*y = 2*z - 0*y + 2, -4*z - 4*y + w = 0. Suppose z*c + 3 = 4*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43594759 by -176497.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12673.249 take away 293404?\nAnswer: -306077.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/4 and -5\/43356436?\nAnswer: 43356436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 517 and 374?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1190)\/(-28) + 15\/6. What is the third derivative of -h*l**5 - 42*l - 11*l**5 + 4*l**2 - 2*l**2 wrt l?\nAnswer: -3360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac (base 16) to base 8\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -3*o, 9*w - 4*o = 6*w + 20. Suppose 2297 = 3*c + 4*a - 6144, w = 4*c - a - 11280. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384489641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 2142 = 9*t. Let o(q) = 0*q**2 + 2*q**2 - t + 13*q + 302 - q**2. Let v(b) = b + 1. Let s(g) = -o(g) + 6*v(g). Determine s(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 2 - 22*m**3 + 4*m + (1 + 2 - 6)*(2*m**3 - 4*m**3 + 0*m**3) + (3*m**3 - 2*m**3 - 6*m**3)*(1 + 0 - 3).\nAnswer: -6*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7323 - -153871\/21. What is the common denominator of v and 70\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/12, -0.21 in decreasing order.\nAnswer: -1\/12, -0.2, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/60 + t**4\/6 - t**3\/6 - 3*t**2. Let y be c(-2). Are y and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - -38. Let t = -66 + l. Let u be (-2)\/3 - (0 + -1). What is the closest to 3\/4 in 1\/11, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 1\/11, -2\/9, 0, 1.3, -4.\nAnswer: -4, -2\/9, 0, 1\/11, 1.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41135896 is divided by 1788516?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -97407920 at least -97407918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 2*d**2 - d + 90. Let h(y) = 7*y**2 - y + 1. Let v(b) = -36*b**2 + 5*b - 5. Let t(n) = -5*h(n) - v(n). Give t(k(i)).\nAnswer: 16*i**2 - 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51346, 106667, 161988, 217309, 272630?\n\"Answer: 55321*y - 3975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -158. Does 37 divide 555\/o*(-1 + 8\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4627.3 times 0.09?\nAnswer: 416.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - z + 2*z - 360, 3*z = 0. Let p = h + -75. Let v(y) = y**3 + 4*y**2 + 3*y + 3. What is v(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j**3 + 11*j**2. Let a(f) = 8*f**3 + 6*f**2. Determine -11*a(t) + 6*q(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -76*q**2 - 413. Let p(d) = -2*d**2. Let l(u) = -g(u) - 6*p(u). What is the derivative of l(v) wrt v?\nAnswer: 176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-92)\/621*1\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177 a factor of 1009944691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 609 - 593. Let r(x) = -x**2 - 10*x - 11. Let v be r(-8). Let k = -1\/7 - 5\/63. Put k, v, n in decreasing order.\nAnswer: n, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvdppqpdpddpddpp. Give prob of sequence dp.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*l + 10329413*k + 774339*l with respect to l.\nAnswer: -2*k + 774339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q - 447*q**3 - 35*q.\nAnswer: -447*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147.11 + -150.11. Put -4, -2\/3, w, -0.5, -0.04 in descending order.\nAnswer: -0.04, -0.5, -2\/3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + h = 30. What is the closest to -2 in -0.4, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 348*y**2 - 15100*y + 349. Calculate c(-91).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 7*v + 19*v)*(3*v - v - 3*v + (2*v + 0 + 0)*(1 + 2 - 2)).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 4. Suppose 3*l + 75 = 3*y, -2*y + 5*y - b*l = 80. Suppose -3*j + y = -133. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 761834 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -p - 3*o, -p - 4*o + 5 = 21. Put -6, -5, p, 0 in ascending order.\nAnswer: -6, -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 + 5 - -31) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.55*-204.\nAnswer: -2968.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*s + 6 - 19*s + 38*s)*(-2 + 2 + 2) as f + v*s and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0282 + -132.9718. Which is the second biggest value? (a) 4 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 20099*g + 602995\/6.\nAnswer: -(g - 5)*(g + 120599)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -321 - -325. Sort -3, f, -2\/5, -5 in increasing order.\nAnswer: -5, -3, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l**2 + 2*l - 5. Let j be n(-2). Let h be 500\/150*j\/2. What is the greatest common divisor of h and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20610 + -62?\nAnswer: -20672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -2 - 2) + 198 + -187 + -6 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0*h + h**2 + 0*h**3 + 0 + 1\/12*h**4. Let n(v) = -3*v**2. Give g(n(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -285564 + -1b?\nAnswer: -285583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 220415210 (base 6) to base 13\nAnswer: a8516c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 + 32 = -4*d, 4*n = -3*d + 4. Suppose -4*a + 18 = 6. Suppose 5*p - 6*p + a = 0. Solve n*u = u - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 + v + 6. Let l be f(-6). Let j = 32 - l. Let p = -19 + j. Solve 5*t = -n - 16, -3*n + n + p = -5*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*v - 46*v = -123*v - 2218 - 2836 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*q*z**3 - 104758*f*q*z + 1736*f*z**3 + f - 17*z with respect to q.\nAnswer: -2*f*z**3 - 104758*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 1133 = -1144. What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 39 (b) -1\/5 (c) 3\/7 (d) -2\/11 (e) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/9 and 81\/6472?\nAnswer: 58248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t + 77 + 22. Let d(x) = -2*x**2 - 19*x + 5. What are the prime factors of d(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 74\/((-7)\/((-28)\/(-8))). Let j = c + 62. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 13*o**2 - 8*o**2 - 3*o**3 + 24*o**2 + 50*o**2 + 153*o - 8670 - 7*o**2 = 0.\nAnswer: -10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6038 is divided by 138.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + 16 = 0. Suppose -w = -4*x + 100. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 30, 52, 78, 108?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35488 is divided by 2213?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r + 4. Suppose -4*i = -5*u - 35, 30 + 4 = 5*i - 3*u. What is the tens digit of a(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 750 - 155. Calculate the highest common divisor of 532 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46455654059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 4. Let f(n) = -n**2 - n + 1. Let v(t) = t**2 + 5*t + 4. Let l be v(-5). Let x(i) = l*f(i) + r(i). Let g(b) = -b**2. Calculate x(g(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 10*x + 3*x - 71*x**2 + 9*x.\nAnswer: -69*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-5 - -11) + (6 - 10) + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -9149853.\nAnswer: 5\/9149853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.4737 litres to millilitres.\nAnswer: 193473.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 4*i = 98. Suppose -i*s = -0*s - 63. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2082 or -12657?\nAnswer: 2082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfffyyfyyfyyyyfifff. Give prob of picking 1 i, 1 y, and 1 f.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100913 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 12*z**2 + 7*z + 16. Calculate l(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 56*h. Let q(l) be the third derivative of -l**4 - 2*l**3\/3 - 7422*l**2. Calculate q(s(n)).\nAnswer: -1344*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/7 (b) -25276 (c) -0.1 (d) 2 (e) 0 (f) -0.202 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (301302\/(-285))\/((-3)\/10)?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 87 = 3*l - 119, 4*m - 36 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.6813 to 1 dp.\nAnswer: -97.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -11. Let s be (t - -201)*8\/10. Suppose -53*c + s = -50*c. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 5*o - 5. What is k(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 1, h: 1}. Give prob of sequence jv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -9984966070 to the nearest 1000000.\nAnswer: -9985000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 + -4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:37 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 43*o + 80. What is the thousands digit of f(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 90. Let f(x) = -7*x**4 - 8*x**3 - 3*x**2 + x. Let z be (-6)\/(-24) - (-6)\/8. Let s(i) = -i**4 + i**3 + i. Let h(b) = o*f(b) + z*s(b). Factor h(m).\nAnswer: 3*m**2*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21590 divided by -5\nAnswer: -4318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 3 - 2\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -27*b**2. Let u(h) = -243*h + 2. Determine t(u(i)).\nAnswer: -1594323*i**2 + 26244*i - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996753141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, -5, 18 in descending order.\nAnswer: 241, 18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 88, -3 in descending order.\nAnswer: 88, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 3*o + 4*o)*(84170*o**3 - 3 - 84164*o**3 + 8 + 16*o**2) to u*o + k*o**4 + c*o**2 + l*o**3 + p and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -721 + 726. Suppose 145 = 5*v + i*q, -7 + 5 = 2*q. What is the highest common divisor of v and 450?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(9\/4)*(u\/u**34*u)\/u assuming u is positive.\nAnswer: u**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.72055 milligrams to grams.\nAnswer: 0.01572055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200001222 - 101111?\nAnswer: 122200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 3*d - 5. Let n be p(3). Differentiate -2 - 2*f**2 + f**2 - f**2 - n*f**2 with respect to f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -6967*2\/(-14868). Let i = m - -3\/413. Let t = i - 4\/9. Which is the nearest to t? (a) -1 (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**43)*r**3)**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -402?\nAnswer: -10\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4980 + 4979.959. Which is smaller: 26 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(0 + sqrt(7)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 17*y - 9*y - 15*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/4 (c) 5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 123?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1021, -155\/8, -7?\nAnswer: 1021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*(q\/(q**(1\/2)\/q)*q)\/q))**(-6))**(-1\/21))**(-25) assuming q is positive.\nAnswer: q**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -587272, -587269, -587266, -587263, -587260?\n\"Answer: 3*a - 587275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 15. Suppose 0 = b + 2*w - 11, 0 = -0*b + 3*b + q*w - 30. What is the second derivative of 2*u**2 - 2*u**2 + u**2 + b*u + u**2 wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 292, -130 in descending order.\nAnswer: 292, -1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 767754 divided by -10?\nAnswer: -383877\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -707.8 + 708. Let h = 1.4 - 1.01. What is the fourth smallest value in -3, z, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwkktekwwwkkwwk. What is prob of sequence tek?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 895*c - 473 + 473 - 895*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4654 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455645?\nAnswer: 5, 491129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*k - c*s + 82*c + 1097*k*s + 1 wrt k.\nAnswer: 2*c + 1097*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11b (base 15) to base 4\nAnswer: -3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 0.0665.\nAnswer: -14.9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -406 + 431. Find the third derivative of 15*m - j*m + 9*m + 23*m**2 + 160*m**3 - 14*m**3 + 28*m**2 wrt m.\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*m + 32 = 324*m - 119*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 - (-176 + 151)\/(1 - 0). Solve k*u - 49*u + 204 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -42040*q + 126195. Give g(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -7*s + 72. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -125, -150, -139, -80?\n\"Answer: 2*o**3 - 63*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 (base 6) in base 8?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -6. What is the greatest common divisor of b and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = 4*j + 2*d, 0 = 5*j + 3*d - 37. Let c = -16 + 27. Solve 5*t + 20 = j*k, 3*t - 4*k + c = -2*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6216988 by 554.\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (0 - -1)\/1. Let p(u) = 2*u - 5. Let y(f) = 3*f - 6. Let g = 19 - 14. Calculate a*y(l) + g*p(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 6*l**2 + 2108*l**3 + 3*l**2 - 2959.\nAnswer: 2108*l**3 + l**2 - 2959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*k = 98, 57 = 4*m - k - 13. Let u = -3 + 32. Let t = u - m. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 32 (b) 0 (c) 1\/7 (d) -1.492 (e) 16.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.2 and 1.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135044370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-96))\/((-3)\/(-2)))\/((-75)\/(-10)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -11 (b) 1\/5 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37304*j - 37306*j + 51 - 8 - 4*j + 4*j + 2*j + (-3 - 1 + 6)*(-2*j - j + 5*j).\nAnswer: 4*j + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 9000.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/7 - 7263*a\/7 + 7264\/7 = 0.\nAnswer: -7264, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -25*p**5 + 190595*p**4\/3 + 521629*p**3\/3 - 92381*p**2 - 129738*p - 15264 = 0.\nAnswer: -3, -3\/5, -2\/15, 1, 2544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 4:42 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/(-252))*(184\/(-276))\/(2\/2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8.6166, -3, -0.1.\nAnswer: -8.6166, -3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10611)\/(-486) - (-3 - (-92)\/24). Solve 44*o + u = 51*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -0.3, -2856, 0.566?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -129303 greater than or equal to -129327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*m**2 - 11*m**2 - 26*m**2)*(m - 1 + 2 + 1).\nAnswer: 15*m**3 + 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 - 4*s + 3. Let n(l) = -2*l**3 - 6*l**2 + 5*l - 3. Let w(t) = 3*g(t) + 2*n(t). Determine w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49544 is divided by 2162?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslslllsrlslslllls. Give prob of picking 4 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0589116276728 - 0.2.\nAnswer: -0.1410883723272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401122 (base 5) in base 10?\nAnswer: 43912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -0.5 (b) 5 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 10*z - 17. Solve -4 = -2*x + z*k, 4*x + 11 + 11 = -2*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/546 + (-222)\/78. Sort -5, 12, h in descending order.\nAnswer: 12, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/((sqrt(24)*-2)\/sqrt(3))*-2)\/((sqrt(48) - (sqrt(48) + sqrt(192)*5) - sqrt(48))\/sqrt(96)).\nAnswer: -4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 6*s - 2. Let r(t) = 24*t. Give r(z(l)).\nAnswer: -48*l**2 - 144*l - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 207734037, 207734035, 207734033, 207734031?\n\"Answer: -2*q + 207734039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 12*h + 14. Let i be b(11). Let k(a) = -a**2 - 8*a + 13. Let t be k(-9). Suppose -f = i*f + t. Is f equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t - 10. Determine c(12).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*t + 247*t - 127*t + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Let p be (3\/(-4))\/(3\/(-8)). Let c(j) = -3*j**p - 7*j**3 + 8*j**3 + 2*j**2. What is c(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.687 times -5?\nAnswer: -298.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6059150 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, -4*g = -3*g + 5*w. Suppose g*h - 60 = -3*h. Let i = -6 + 11. Solve i - h = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69724 < 256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3094 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + ((-40)\/900)\/(6\/3276)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 126.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 508614762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -32 + 22. Suppose -745 = y*r - 15*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2\/45)*x*x**(3\/5)*(x**(-6\/11))**(-1\/15) assuming x is positive.\nAnswer: x**(1283\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (11 - 0) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/9 + 376*w**3\/9 - 1844*w**2\/9 + 856*w\/3 - 122 = 0 for w.\nAnswer: 1, 3, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i - 2*t + 12, 3*t + 1 = i. Let x(y) = y**3 + 9*y**2 + 11*y. Let l be x(i). Let v = -29 - -59. What is the greatest common factor of l and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q**5\/4 - 3187*q**4\/4 - 13013*q**3\/4 - 9221*q**2\/4 + 285*q\/2 = 0. What is q?\nAnswer: -3, -1, 0, 2\/35, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - 96\/(-12)) + (-2)\/(-1). Let q(w) = -w**2 - 6*w. Let x(v) = -v. Calculate i*q(h) - 5*x(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/(9\/42). Let n(v) = -v**2 + 2*v - 3. Let z(j) = -2*j**2 + 3*j - 6. What is c*n(q) + 4*z(q)?\nAnswer: -q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 3*u - 3, 5*u + 4*h = 23. Let k(c) = c - 5. Let n(p) = p - 1. What is u*n(r) - k(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3997360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 20*f - 11*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 32. Suppose 5*t - 19 = 2*v, -2*t + 9 = 3*v - p. Solve 7*d - d**3 - d - 12*d**2 - 3*d**4 - 2*d**3 - 1 + 13*d**v = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*x**2 + 14*x - 12*x - 25*x**2 + 61*x**3 + 37*x**3 + 1 in the form k*x + n*x**3 + u*x**2 + t and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 113\/10. Find the common denominator of 74\/777 + (-3326)\/84 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 366*j - 593. Is z(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*g - 42551 = -9413 + 31098 + 11114 for g.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-630)\/42))\/(((-4)\/51)\/(-4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, -19, -1, -22 in decreasing order.\nAnswer: 17, 3, -1, -19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2000 and 101\/5750?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 13. Let j be m(9). Factor -9 - a**2 - j*a + 8 - 2.\nAnswer: -(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.247325l in millilitres?\nAnswer: 3247.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**5 + v**4 + v**3 - v**2. Let p(s) = -8*s**5 - 11*s**4 - 5*s**3 + 11*s**2 + 3*s. Let z(o) = 5*j(o) + p(o). Factor z(t).\nAnswer: -3*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -474 - 5330646356.\nAnswer: -5330646830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:31 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 2*c**2 - 3*c + 2. Let y be j(3). What is the second derivative of -3*d + d + 8*d**4 - y*d + d wrt d?\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1376, -1, 166, -16 in decreasing order.\nAnswer: 1376, 166, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - q**2 - 2*q - 3. Let n be c(-2). Find the second derivative of -4*g - n*g**2 + 0*g - 3*g + g**2 wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/11*m**2 + 4\/11 + 4\/11*m**4 + 6\/11*m**3 - 6\/11*m = 0. Calculate m.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*f = 92*f + 205*f + 5264 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2693*71.\nAnswer: 19.1203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 6, n = -3*z + 5*z + 10. Suppose -36 + n = -6*s. Suppose -3*t + 5*y + 287 = 3, -s*t + 535 = 4*y. Does 43 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*a = 2*g - 29, 2*g - 10 = -a. Let h be 2 + -333008 + (9 - g). What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*y - 2*o, -2*o - 1 = 5*y - 0*o. Let u be (0\/(-2))\/((-2)\/y). Suppose -7*j = 40*j - 358 + 123. Put 6, j, u in decreasing order.\nAnswer: 6, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 15*q - 48. Calculate the remainder when 58 is divided by u(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3321 in 4, 0.21, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 1 p when three letters picked without replacement from {t: 3, y: 6, j: 3, p: 3, b: 2}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-33)*a**(-2\/93))\/(a**(3\/5))**16 assuming a is positive.\nAnswer: a**(-19819\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -4*t - 3*u, -3*u - 14 = -5*t + 6*t. Let l be (0 - -5)*((-25)\/t)\/(-5). Which is the smallest value? (a) -6 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let o(m) = -11*m + 27*m + 40*m + 12*m. Calculate f(o(a)).\nAnswer: 68*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1277)\/1277)\/((-24)\/(-348)*2\/(-4)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*y**3 - 11*i**2*y**3 + 53*i*y**3 + 3*i wrt i.\nAnswer: -6*i*y**3 - 22*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4810.6164 - -4810. Round a to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/19)*x*x**(3\/4)*x)\/(x\/(x\/((x**(-1)\/x)\/x))*x**(-3)))**(-10) assuming x is positive.\nAnswer: x**(-3285\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -112*v + 3624. Determine c(39).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*x - 179*x - 1704 = 165*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 - 0 - (8 + -23). Solve b = 5*d - 24, 0 = -p*b - 0*d - 3*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5535605*l - 4384054.\nAnswer: 5535605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.73 and 0.119.\nAnswer: 2.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 0*o**4 + o**4 + (1 + 2 - 4)*(-3*o**4 - o**2 + o**2).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 23 = -4*x + 27, 7 = -5*x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7429 or 7408?\nAnswer: 7408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h = 16. Suppose -21 = h*c - 5*c. Solve 4*s = 5*y - 24 - c, -5*s - 3*y - 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4\/3 - 36680*x**3\/3 - 51366235*x**2\/3 + 51476300*x\/3 + 34268620 = 0 for x.\nAnswer: -5451, -1886, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/7 (c) 5 (d) -3 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.2 + -20. Let f = a - 0.199994. What is f rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86195 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b - 6. Let c(x) = x + 10. Let m be c(-7). Let l(y) = -1. Let u(i) = m*l(i) - z(i). What is the first derivative of u(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718, 720, 722, 724, 726, 728?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(10\/614))\/((-4)\/20)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111715.\nAnswer: 5, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 4, -7, -8, -4, -82.\nAnswer: -82, -8, -7, -4, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1788106.2044 + 193.1.\nAnswer: -1787913.1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 7. Let p = -12926 + 12931. Let o(u) = -2*u**2 + 6. Suppose -4*t + 25 - 1 = 0. Give p*r(v) + t*o(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122723, -245438, -368151, -490862, -613571?\nAnswer: -736278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 - (2 - 6)) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3667762 is divided by 220.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 92 = 12. Let y = s - 16. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 12 + 3*i - 8)*(-2*i**3 - 1 + 1) + (-3*i**3 + 8*i**3 + 23*i**3)*(-5*i - i + 2*i).\nAnswer: -110*i**4 + 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/13? (a) 306 (b) -3 (c) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/175 - (42900\/30177)\/5. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 67. Let c(d) = -29641*d. Give f(c(j)).\nAnswer: 29641*j - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 + 2*h. Let v be i(-2). Suppose 40*m = 242 - 162. Solve -2 = 2*b - v*f, -7*f = -6*f - m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525392 = -o - 15*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzjjtzzt. Give prob of sequence tzj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380407865 plus 9.426?\nAnswer: 1380407874.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 494.00000283 - 494. What is t rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3072960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691*c = 665*c - 38844. Which is greater: c or -1495?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose -5*l + 42 = -4*m, -x*m + 8 + 16 = 5*l. What is the highest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/40275 and 161\/42960.\nAnswer: 644400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 20, 26, -1 in increasing order.\nAnswer: -1, 20, 21, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 - 40*n**2 + n + 4. Let w be b(-8). Let r(d) = -4*d**2 - 6*d + 4. Let o be r(2). Put o, -2, w in increasing order.\nAnswer: o, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -939.8 + 940. Let i = -2 + 3. Let l = 0.1 + -0.6. Which is the closest to -2? (a) l (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -123. Suppose 5*b + 44 = 3*s - s, 0 = -4*b + 5*s - w. Let q = b - -15. Solve -q = -v - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1606 - -1601. Which is the third biggest value? (a) d (b) -150 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(425) + sqrt(425) + (sqrt(425) - (sqrt(425) + -2*sqrt(425))) + 2 + sqrt(425) + sqrt(425)) + -1 + 1 + sqrt(425) + 5)*6)**2*-5.\nAnswer: -12943080 - 210600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u**(4\/5)*u)\/u*u)*u)\/((u\/((u**(3\/7)\/u)\/u))\/u)*u\/(u*u**(-2)\/u*u*u)*u**(-6))**19 assuming u is positive.\nAnswer: u**(-3572\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212806, 425666, 638528, 851392, 1064258, 1277126?\nAnswer: 1489996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*j + 2 + 10 = 130*j. Let s(u) = -u**2 - 1. Let g(n) = -6*n**2 - 6*n - 7. Determine j*g(d) - 5*s(d).\nAnswer: -d**2 - 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 21*s + 140. What is q(27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1870, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: -0.4 - 4060515291.9\nAnswer: -4060515292.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-10) - (-224)\/80. Suppose -5*q + 7*q = r*c - 12, -2*q + 20 = 4*c. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.01. Let h = v - -0.31. Which is the nearest to 1? (a) -3\/8 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -59 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q + 284. Let d(f) = -28*f + 567. What is 2*d(c) - 5*j(c)?\nAnswer: -11*c - 286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 43*b**2 - 334*b + 208. Determine p(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwellelwlplpwllleeel. Give prob of sequence lpw.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(4 + 0 - 2) + 0 - 1 + 3)*(-20*l - 104 + 104)*(1 - 2 + 0)*(-33 + 24 + 34)*(7 - 6 + 6).\nAnswer: 21000*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 37 = -17. Suppose -3*n = -5*q - 352, 0*n = g*n - 4*q - 578. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4\/11 (b) -1 (c) -6 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -27 - (-8 + 87 - (10 + -2)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 2*m**2 + 2*m - 1. Let g be k(2). Suppose -g*s = -12 - 27. Which is smaller: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 969 + -963. Let l be (-1352)\/(-28) + 4\/(-14). What is the highest common factor of l and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2460 and 8700.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 548 + -536. Suppose 2*c + 2*c - 48 = 0. Calculate the smallest common multiple of c and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47498 is divided by 83.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 - 1\/3*j**2 - 10*j = 0 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7578*c + 215*c**2 - 3789*c - 3789*c.\nAnswer: 215*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1085632 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160308803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-7 - -14) - -12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(78)*-2)\/(((sqrt(24) + sqrt(2904) + sqrt(2904) + -1*sqrt(2904) - sqrt(24)) + sqrt(24))\/sqrt(4)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1270 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 - -113. Let v = u - -302.99999706. Round v to 7 decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26699098039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 6, y: 6, x: 1, d: 7}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*f - 0*z - 3*z, z = -5*f + 11. Solve -q - 5*t + 1 = -9, -2*t + 4 = f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - (16 - 8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 218 + 46 = 88 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:33 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + 85. Let v(s) = -125 + 2*s**2 - 7*s + x. Let j be v(4). Solve 2*r - 3*g = 12, -j*r + 3*g = 2*g - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -5\/3*p**3 - 8 - 5*p**2 - 5*p. Factor w(m).\nAnswer: -5*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3055\/97 - -1314039\/41516. What is the common denominator of o and 85\/24?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-1) - (-70 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b - 165*l = -170*l - 76, 0 = -2*b - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912 + 11112 = -758*s - 9958 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 8 = -o + 12*u, -2*o + 3*u = 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let s = -11 - -10.9. Let p(d) = -d. Let k be p(-4). Which is the nearest to f? (a) k (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301220 + -333?\nAnswer: 300221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 < 1643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xggx when four letters picked without replacement from tewtxwtgxttgxtxt.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 400, 399, 398?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 170d + -8?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35981422 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/14007)\/(7\/49).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - 1300\/(-225). Suppose -y*g + 7 = -17. Put 2, -4, g in descending order.\nAnswer: g, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242846.\nAnswer: 2, 29, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from wwwowwwo?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 89\/45082 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1362 + -1345. Put 15, u, 3\/7 in descending order.\nAnswer: u, 15, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9739 and 1736423.\nAnswer: 1746162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4921178*v**2 + 495664*v + 3 wrt v.\nAnswer: -9842356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12073 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395 - 1039. Let b = t + 644.00574. What is b rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 347, 1039, 2273, 4199, 6967?\n\"Answer: 25*x**3 + 46*x**2 - 13*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -190.7 in -0.4, -1\/4, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.18 (b) -0.17 (c) -3 (d) -1179\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/42)\/((-1146)\/(-41447)))\/((-135)\/81)\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)\/y)**19*((y**(2\/17)\/y*y)\/y)\/(y*y**(-3))*(((y*y*y**(4\/9)*y*y*y)\/y)\/y**(2\/5))**(2\/39) assuming y is positive.\nAnswer: y**(3041\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 9*k. Let n(b) = 33*b - 118*b + 87*b. Calculate m(n(u)).\nAnswer: 4*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(0*h**3 - 2*h**3 - 7*h**3 + (h - 3*h + 0*h)*(h**2 + 0*h**2 + 0*h**2)) as l*h**2 + y*h + b*h**3 + f and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, u: 2, d: 3, v: 10, b: 1}. Give prob of picking 2 d.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -1\/12*v**4 + 0 + 0*v**2 + 7\/3*v**3 + 9*v. What is the units digit of d(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2. Let c(s) = -s**2. Let m(x) = 39*c(x) - 6*y(x). Let n be 3 - (4 + -5 + 1). Let i(q) = -2*q + 6*q - 4*q + n*q. What is m(i(k))?\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239857 is divided by 2579?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72043*o**3*s**3*z**3 - 1268*o**3*s**3 + 2*o**3*s**2 - 3*o**3*s*z**3 - 29*o**2*z**3 - 174904*o*s**2*z**3 wrt s.\nAnswer: 432258*o**3*z**3 - 7608*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -3 (c) -1 (d) -30.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*m**2*t + 3*i*m**2 - 780*i*m*t**2 + 4*i*m*t + 17653*i*t - i + 5*m**2*t**2 - 2*m**2*t - 15*m*t + 27937*t**3 wrt t?\nAnswer: -1560*i*m + 10*m**2 + 167622*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*v + v - 9, -3*v + 3*c + 15 = 0. Does 4 divide (2\/v)\/(3\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**8\/336 + p**5\/60 - p**2 - 1. Let f(v) be the second derivative of h(v). What is the third derivative of f(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/45 and 23\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19*2\/(-4)*-2. Let t be ((-8)\/(-14))\/((-6)\/(-21)). Suppose 0 = i + t*u - 15, 5*i - 2*i + 3*u - 51 = 0. What is the greatest common factor of i and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.306 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 107. Let c(k) = -252*k. Determine y(c(s)).\nAnswer: 63504*s**2 - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - -4276) + 40\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8829*i - 8863*i - 952 = 0 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 965705896 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + 323. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 847*k**6\/6 - 29*k**3\/3 - 7*k**2\/2 + 23*k - 72. What is the second derivative of j(u) wrt u?\nAnswer: 50820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 3*f**4\/4 + 4*f**3\/3 - 5*f**2\/2 - f - 11. Let s(y) = y**3 - y**2 - y - 1. Let x(w) = m(w) - 4*s(w). Give x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470111.\nAnswer: 317, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -63\/32, 8, 1, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + 25. Suppose 5*n = 0, -f + i = -2*n - 3*n. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 16 - ((-6)\/12)\/(2\/(-4))?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 76398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7955027?\nAnswer: 929, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 5*y - 34*y = 130 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n - 1. Let h(x) = -2*x**3 - 7*x**2 + 7*x - 7. Let m = 76 + -78. Calculate m*h(w) + 14*s(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*w = -6, 3*t + 10 = -1284*w + 1280*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-24) - 980\/560)*51.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 0*w**2 + 37 - 3*w - 26\/3*w**3. What is the first derivative of j(o) wrt o?\nAnswer: -52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 680 + 75 - 227 = -2*t, 5*w - t - 204 = 0 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:19 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d**3 - 7*d**2 + 5*d - 5. Determine m(2).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 28*w. Let s(m) = -11 - 7 + 18 + m**2. Give s(f(d)).\nAnswer: 784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/5)*x)\/x*x**1)\/(x**(-2))**(26\/7) assuming x is positive.\nAnswer: x**(309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211 by -848.\nAnswer: 211\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34798 = g + 2*h, -3*g - 8*h + 6*h - 104378 = 0. Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 13, k: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11509\/5 + 2303. Which is the nearest to 2\/7? (a) 1\/13 (b) -3\/2 (c) -0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**4 - 3271*u**3 - 15087*u**2 + 17886338*u - 3 wrt u?\nAnswer: 12*u**2 - 19626*u - 30174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 - -288. Suppose 0*w - w = b*l + 2, -10 = 5*l. Suppose 0*u**3 + 4\/5 + 4\/5*u**4 - 8\/5*u**w + 0*u = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 526 = 47*v - 629 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*x - 51, 2*k + 2*k = x - 46. Let b = -7 - k. Suppose 3*y - 3*g = -y + 123, 0 = b*g + 20. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 383618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 416\/195 - (-2)\/(-15). Let h(n) = -22*n + 20*n - 5*n**2 + 8 - x*n**2 + n**3. What is h(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*(-3)\/(-16))\/(2\/8). What is the closest to 1 in -4, 0.9, h?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -203*h + 207*h - 8, -h = 11*b - 4*h + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -51. Suppose -2*o + 408 = 4*k, o + 0*o + n*k = 196. Let i = o + -132. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00222562 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/x)\/(x\/x**6)*(x*x**7\/x*x)\/(x*x*x*(x\/x**(-11))\/x*x) assuming x is positive.\nAnswer: x**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -13. Is (-2)\/(-10) + (-294)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyeenyyyeyyenyyeee. Give prob of sequence eyny.\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495732 and 1962?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = -5*u + 4*h + 2695, 3*u - 1413 = 3*h. What is the smallest common multiple of u and 594?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 845 + -830. Solve 45 = -6*x + q*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1314 and -33\/2.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6780, 11, 1 in increasing order.\nAnswer: 1, 11, 6780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:12 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0*y + 6\/5*y**3 + 0 - 2\/5*y**5 - 4\/5*y**4 + 0*y**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 7. Let x = -107 - 28. Find the common denominator of (-1704)\/x + z\/45 and -46.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-7 - (0 - (-3 - -4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Let r = 59.8 - 60. What is the second biggest value in -1, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/128)\/(3\/(-12)) - 24990\/(-8624).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 841*x**6\/3 + 2575*x**2\/2 - 508. What is the second derivative of v(g) wrt g?\nAnswer: 33640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1273815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -11051317\/3 and -3683772 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -5*p + 3*x + 26, -5*p = 3*x - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**4 - 3*q**3 - 9. Let y(n) = -7*n**4 + 4*n**3 + 10. Let z(v) = 4*x(v) + 3*y(v). What is the derivative of z(i) wrt i?\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (10 - 35 - -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5 + 11662*o**4 - 33813381*o**3 - 1091890872*o**2 - 6168889044*o + 44306882064 = 0. Calculate o.\nAnswer: -18, 4, 5847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.632 - 0.6761. Let a = 4.0441 + i. What is the smallest value in 1\/5, a, 0, 2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 5 + 2*b + 0*b)*(-1 + 1 + 4*b**2).\nAnswer: -8*b**3 - 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 - a + 11. Let r(b) = 4*b**2 + b - 17. Give 5*r(f) + 7*x(f).\nAnswer: -f**2 - 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h - 483855 = -170696. What are the prime factors of h?\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 3:05 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*1*30\/35. Suppose 0*y - 3*y + o = 0. What is the third derivative of 5*r**2 - 4*r**y - 2*r**3 + 0*r**3 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 482?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:33 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 23 = 121. Suppose i = 3*c + 3*w, 2 = w - 1. Suppose -4*p - 2 = c*q, 3*p = -0*q - 3*q. Sort 11, 3, p in descending order.\nAnswer: 11, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1160423194 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/10*45\/(-9). Sort -18, b, 1 in increasing order.\nAnswer: -18, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by -1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24))\/((-170)\/(-204)*189\/(-90))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 1*2*-1. Suppose 0*r + 4 = l*r. What is the greatest common factor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.029 + 8.629. Let u = 9 - g. Let m = 4 - 3. Which is the nearest to 1\/3? (a) 2\/9 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1188568, 1188514, 1188460?\n\"Answer: -54*k + 1188622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-4)\/6*6\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:12 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/5 + 146*x**4\/5 + 164*x**3 + 212*x**2 - 822*x\/5 - 1206\/5 = 0. Calculate x.\nAnswer: -67, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 571831564 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 266, 307, 364, 437, 526?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**(2\/11)*u)\/u)\/(u\/u**(7\/4))*(u\/(u**(1\/2)\/u))**(-33\/5) assuming u is positive.\nAnswer: u**(-1393\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2. Let y(o) be the first derivative of 2*o**3\/3 - 2. Calculate a(y(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1074 and 175062.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 82133.\nAnswer: -2\/82133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216164171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15328 - 10084. Calculate the highest common divisor of 1824 and z.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81453 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 58. Suppose -5*v - 4*x + 17829 = z, -2*v + 901 + 6225 = 3*x. Suppose 4*s + 1029 = v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*y = -0*s + 138, 0 = -5*s - y + 253. Let d = -407 - -167. Let v = d + s. Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -7b5a?\nAnswer: -7b6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66707234.\nAnswer: 2, 11, 1103, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11655096063 less than 96?\nAnswer: 11655096159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*y + 165*y - 81*y**2 + 936*y**3 + 81*y**2.\nAnswer: 936*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106520?\nAnswer: 2, 5, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t + 841 = 1497 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 - 1\/6*f**4 + 15*f + 0*f**3 + 0*f**2. Let c(x) be the third derivative of x**5\/12 + x**2. Calculate c(o(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 24*t = 32*t. Solve -4*p = 2*o + 2 + 8, t = -5*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2954 and 84.\nAnswer: 17724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680707294 to the nearest integer?\nAnswer: 26090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5504*d*v**2*z - 157*d*v**2 - d*v + 53*d*z - d - 7*v**2*z - 23*v**2 - 3 with respect to z.\nAnswer: -5504*d*v**2 + 53*d - 7*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f + 88. Let z be j(22). Let v = z + -612. Suppose 3*d - 4*d + 7 = 0. What is the remainder when d is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 76, 67, 40, -11, -92, -209?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 11 - -3) + (-34)\/(-12) + -3. Let u(i) be the second derivative of -11\/2*i**2 - 7*i + 0 + a*i**3. Differentiate u(v) wrt v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j + 70*j = 80. Suppose 6*q + j*q - 126 = 0. Solve 0 = -q*h + 7 + 29 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 12}. What is prob of picking 4 a?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0*z**2 + 0*z**4 - z**3 + 0 + 1\/20*z**5 - 8*z. Find the second derivative of u(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/288 and -49\/30.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2928926, 5857860, 8786794, 11715728?\n\"Answer: 2928934*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.106 - -0.106. Let b = -103\/6 - -17. Let s = 1 + -2. What is the nearest to a in -5, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3\/5*v**3 - 3\/5*v + 552\/5 - 552\/5*v**2 = 0?\nAnswer: -1, 1, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (23 + -8 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let o be (-50)\/25*(2 - (6 - 2)). Let p be o\/72 - (-5 - 376\/(-72)). Is i smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2 - 7*m. Let g(c) = c**2 - 1. Let b(i) = 6*g(i) + z(i). Let h = -19 + 14. Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/9 + 108*y = 0. What is y?\nAnswer: 0, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**3 + 5*w**2 + 6*w - 8. Let r be c(4). Let p = 68 + r. Let q = p - -407. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + 4*f**4 - 5*f**4 + 5*f + 3*f**2 + 10 + 3 - 10 as d*f**4 + q*f**3 + r + p*f**2 + i*f and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:09 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b + 10. Calculate the remainder when j(-3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269 + 292. Calculate the remainder when 37 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**10)**(-2\/27))**(-12\/5))**3 assuming z is positive.\nAnswer: z**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 1, d: 3, g: 1, n: 3, t: 2}. Give prob of sequence gn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 16 - -2*(-15)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose -12 = -2*m - q*m + 4*l, -4*m + 3*l + 14 = 0. Let t = -3 - -6. Sort t, 4, m in descending order.\nAnswer: m, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**3\/3 + 8*v**2 + 20*v - 92. Let l be a(-15). Solve l + 4 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24690727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 - 0) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejb when three letters picked without replacement from {j: 4, e: 1, b: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 2 + 889*n.\nAnswer: 889*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 + 1 = 0. Let f(v) = v + 1. Let y be f(2). Find the second derivative of 2*h + 2*h**u - h**3 - h**y + 3*h**3 wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*f = 9, -13*l - 11 = -4*f + 40 + 36 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 6*l + 8. What is j(5)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 11*u - 5*h = -143, -u - 19*h - 19 = -20*h for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212002020111 + -200?\nAnswer: 10212002012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4*s + 1258*c**3*s**2 - 31*s**2 - 257*s wrt c?\nAnswer: 4*c**3*s + 3774*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((1 - 9) + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1668 is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 - 102*s + 6029. Let a be w(-65). Let t = 6 + -3. Suppose -t*o = -5*z - 85, -5*z + 2*o + 36 = 121. Is a at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 169742208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*s - 48, 4*s = -4*q - 79 + 39 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m**2 + m + 6. List the prime factors of i(3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 2*f)*(-3 + 4 - 2) + (-f + f + 4*f)*(28 - 50 + 33).\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 628 - 412. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(9\/7)*o)\/o)\/(o\/(o**(1\/7)*o*o)) assuming o is positive.\nAnswer: o**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*c - 2)*(10 + 45*c - 10) - 2*c**2 + 4*c - 4*c as r*c**2 + b + n*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6)\/sqrt(18)*4*-2)**2 + -5 + 0 + sqrt(363) + 3.\nAnswer: 46\/3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -46*l - 354. Let f be d(-8). Solve -f*v + 29*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 71 = a - 6, -3*h + 2*a + 32 = 0. Calculate the remainder when 64 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -157*p - p**3 - 8 + 72*p + 11*p**2 + 76*p. Calculate o(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roio when four letters picked without replacement from yryoyyiiyiooyiyoyo?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045433336 to seven dps.\nAnswer: 0.0000454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-4 + -1 - 0) - (14 - 15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - q**3 + q - q**2 + 3*q**2 as s*q**3 + t*q + y + h*q**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6254.\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdlrllrlzlldrd. Give prob of picking 1 r and 2 d.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**3*v*w + 96*l**3*v + 38*l**3 - 4*l**2*v*w + 106*l**2*v - l*v*w - 58*v + w - 9 wrt l?\nAnswer: -24*v*w + 576*v + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 3:24 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1985396822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 + 498. Let p be 51*(-6)\/t*4\/(-2). Find o such that 2\/13*o**2 + 24\/13*o + 10\/13*o**5 - 8\/13 + 6\/13*o**4 - p*o**3 = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37095799 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1556 = -2*u - k, -4*u - 60*k + 63*k = -3092. List the prime factors of u.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5)*l*(l**(-3\/2)\/l*l)\/l*l*(l*l**(-2)\/l)**27)\/(((l*(l**(-7)*l)\/l)\/l**(3\/5))\/((l*(l**(1\/8)*l)\/l*l)\/l**(-4\/5))) assuming l is positive.\nAnswer: l**(-1559\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/45*8\/12*40\/(-96).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - 3 - 3 - -4. Let j(i) = -i**3 + 6*i**2 - 4*i. Let d be j(5). Let r be ((15\/d - 3) + -1)*0. Solve s*l - 17 + 2 = r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4371, 17806, 40197, 71544, 111847, 161106, 219321?\n\"Answer: 4478*m**2 + m - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 443*o**2 - 2644*o + 9628. Calculate w(437).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 12\/8)*0\/3. Let l = -0.2 - -5.2. Let y = 3 - l. What is the smallest value in y, b, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -662b50a?\nAnswer: 662b506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-98))\/(15\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**7\/840 - f**6\/40 + f**5\/40 + 13*f**4\/24 + 11*f**3\/8 + 2*f**2 + 305. Suppose q(g) = 0. What is g?\nAnswer: -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 12 = -4*l + 2*f, f - 1 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 4 - (-1 + -33 + -1)) + -9601 + 9605\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1194 = -l + 192. Is (l\/(-8) - -2) + (-2)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 296, 0.31 in decreasing order.\nAnswer: 296, 0.31, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87\/26 + -570\/13. Let y = t + 247\/6. Let g = -1\/7 + 2\/7. Which is the closest to -1? (a) g (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 368393212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/5007996 and -63\/118.\nAnswer: 295471764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -278*w. Let q(i) = 6773*i**2. What is q(x(r))?\nAnswer: 523444532*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -0. Let c = z + 23. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*4 + sqrt(66))\/sqrt(3))\/((sqrt(11) - (-2*sqrt(11) - sqrt(11)))*-3))**2.\nAnswer: 25\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -12. Let k(d) = -2*d + 21. Let g be k(8). Sort 1, g, u.\nAnswer: u, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29744 and 1067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*t - 3, 0 = -4*t - y - 1 - 0. Let q be 6 + -3 + t - 0. Suppose 4*s**2 + 11*s**4 + s**3 - q*s**3 - 13*s**4 = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 761*h - 753*h + 0 - 1 + 2. Calculate p(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-88)\/(-14) - ((-260)\/70)\/(-13). Suppose -3*w - 4*p - 27 = -8*w, 3*p + 29 = 5*w. Is w >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -48, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -3, 5, 2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlllllzlll. Give prob of sequence zzll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 4. Let m(h) = h. Let k(f) = g(f) + 5*m(f). Let q be k(-5). Let r be q - ((-2 - -1) + -9). Solve -2*y + r = -i + 1, 0 = y - i - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 5:43 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 467066.218 + 53.\nAnswer: 467119.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 3 + 5)*(-5*m + m + 2*m + 6*m) as j + i*m and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4998522 to the power of 1\/2, to the nearest integer?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 258611.\nAnswer: -5, 5, 258611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29984 is divided by 3743.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 18. Determine w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a decade in months?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 35*f. Let d(c) = 3*c**2 - c**2 + 2*c**2 - 7*c**2 + 5*c**2. Calculate d(o(b)).\nAnswer: 2*b**4 - 140*b**3 + 2450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100 + 0?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1117501974 to the nearest integer?\nAnswer: 33429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = -5*p + 11, 2*p = 8. Sort -0.3, -1\/6, t.\nAnswer: t, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1910732 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000906034 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 0.1629 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*i - 29 = 0, -4*w + 3*i - 19 = -0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940170 and 37510.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-156)*(-8)\/3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.55 + -16. Let p = -47.63 - -47. Let v = j - p. What is v rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -j + 24*h + 58, h = 4*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167*g**4 + 284*g**3 - 5*g**2 + 19*g + 2 wrt g?\nAnswer: 4008*g + 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180171 and 270?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 269 + 0?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a + 63*a - 6864 = -78*a. Solve -a*f = -94*f + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = 0. Suppose 0 = -5*l, 5*l = -d*i - 3*i - 12. Let u = 3.7 + 0.3. Sort i, 1, u.\nAnswer: i, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {e: 9, t: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (550\/60 + -9)\/((-2)\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -184 and -76 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 1. Let q be j(1). Suppose 2*u = -q*u - 2340. What is u rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 49*u - 19. Let k be y(-24). Suppose k*h - 2*w = -0*h + 36, 2*h = w + 14. Solve -5 + h = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.094 - -0.494. Which is the third biggest value? (a) n (b) -0.24 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-69)\/115)\/((28\/(-16300))\/7) is divided by 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:40 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -355, -3, -213 in ascending order.\nAnswer: -355, -213, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 4*h - 17173. What is p(-129)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqar when four letters picked without replacement from qglqarg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 + 30105*j**2 + 6*j - 1 - 30109*j**2 + 2*j = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -7*p + 321285. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*c + 2*o + 44, c + 4*o = 18. Let p(l) = 4*l - 14. Does 20 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + 12b?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2579 = 3*i + j, 7*i + 1066 - 7097 = j. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4794.\nAnswer: 5\/4794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - 2*v)*(3*v + 2 - 2)*(-8*v + 3*v - 2*v).\nAnswer: -21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 44748060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2. Let h(q) be the first derivative of q**3\/3 + 6. What is -6*h(v) + x(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 74\/9) + (-4)\/(-18). What is the closest to -1 in l, 2\/9, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*p = 60, -3*a + 76*p - 78*p = 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 14\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, r: 2, f: 2, q: 1}. What is prob of sequence fr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/155 + 282\/1085. What is the closest to 0 in 5\/11, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 593, -6 in decreasing order.\nAnswer: 593, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120635741?\nAnswer: 571, 211271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 45 = -9*h, 8520*h - 8515*h + 25 = -5*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 - p - 2. Let f be k(-7). Let t = f + 0. Is 2\/(-3)*-3 + t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222360 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from nnbnnbnb.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**6\/2 - 7*m**4\/4 - m**2\/2 + 16*m + 28. What is the second derivative of c(j) wrt j?\nAnswer: -60*j**3 - 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14 + (18\/315)\/(4\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10888 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48411.4kg in grams?\nAnswer: 48411400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -44271, 16, 53 in decreasing order.\nAnswer: 53, 16, -4, -44271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7237*d + 202651. What is z(-28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - w - 12. Let c be k(5). Let z be 1656\/(-33) - (-6)\/c. Let t = z + 57. Solve 0 = -r + 4 - t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 112, 398, 874, 1540, 2396, 3442, 4678?\n\"Answer: 95*x**2 + x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -210, -315, -418, -519, -618?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 580 and 12760?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/4*(-16)\/(-24)*-2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1761*y**2 - 95*y + 459. Is j(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 j when four letters picked without replacement from jnjjp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -9*o**3 - 85*o**2\/2 + 148*o + 363\/2 = 0.\nAnswer: -121\/18, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -4, 4, 0.5, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7319.287um to nanometers.\nAnswer: 7319287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 34, 4 in descending order.\nAnswer: 34, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 26 = -4*n. Suppose n*d - 64 = 20*d. Solve -3*a + 7*a = d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(143)*3)\/sqrt(11) - sqrt(13)*-1*-1)**2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = 4*h - 185. What is the remainder when 18 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -323841, 10\/3, -2.3 in descending order.\nAnswer: 10\/3, -2.3, -323841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.00074 - -37. Round q to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -53\/210 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let j = 8 - 7.9. Which is the smallest value? (a) 0.5 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*y + 9, 4*y + 7 = -4*c - 5. Suppose c*g = 4*g - 136. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -15 + -3 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 12 = -5*b, -b = -2*b + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.7 - -75. Let l = 18 - i. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - j**3 + 3*j**5)*(3 + 0 - 5 + (-2 + 3 - 2)*(2 - 3 - 1) + (-3 + 4 - 3)*(10 + 22 + 10)).\nAnswer: -252*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*s**3*u - 2*s**3 + 4*s**2*u - 15*s**2 wrt s?\nAnswer: -306*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 - 7*h**2 - h**2 + h**2 + 11*h**3.\nAnswer: 11*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3413 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3 - 1. Let t(g) = -u + 6*g - 8*g**3 + 2. Let l = 10 + -4. Let r(f) = 15*f**3 - 11*f. Give l*r(b) + 11*t(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2332375960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-13 - -13)) + -1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25217, -47052, -68893, -90740?\nAnswer: -112593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, h: 3}. Give prob of sequence yhyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 70. Let c(w) = -268 - 269 + 537 + w. Determine c(v(b)).\nAnswer: -2*b - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 387601744 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b**4\/5 - 4498*b**3 - 12544*b**2\/5 + 55016*b\/5 - 4000 = 0. Calculate b.\nAnswer: -2, 4\/9, 1, 1250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 2, j: 2, i: 1}. What is prob of sequence kij?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1629, 55, 3 in descending order.\nAnswer: 55, 3, 2, -1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdp when three letters picked without replacement from dddddddkkp.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -997\/4 + 240. Let n(l) = -61*l - 4. Let a be n(5). Calculate the common denominator of a\/8*(-24)\/(-54) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4) + -8 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1848*o**2 + 1 + 2138*o**2 - 3 - 5*o**3.\nAnswer: -5*o**3 + 290*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 43*z - 3*z)*(-z + 3*z - 3*z) + 20 - 3*z**2 - 20 + (5*z - 5*z - z)*(-z - 4*z + 6*z).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l**(-2)*l)\/l))\/((l*l**0\/l)\/l))\/(l**(3\/4)\/l**(-1)) assuming l is positive.\nAnswer: l**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*o*w**3 - 254*o*w**2 + 5*o*w - 8*o + w**3 - 7*w**2 - 34*w + 450 wrt o.\nAnswer: -11*w**3 - 254*w**2 + 5*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/2)\/(-3))\/(2\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1894 = -4*i + 4070, 4*x + 5948 = 4*i. What are the prime factors of i?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z + z**3 - 5 - 3*z**2 - z - z. Let f be a(5). Suppose -f*i + 3 = -47. Solve -p - 4*p = i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t, -x - 2*t - 2 = -7. Let u = 30 + x. Suppose 3*p - u = 2*p. Is p 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 (-3 - 7) + (-22 + 23 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 1 - 1)*(0 + 0 + 1) + 4*d**2 - 6*d**2 + 0*d**2 + d**2 + 9*d**2 + 2*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.21 - -6.2. Is d < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 1. Let q(l) = -17*l**3 + 5*l**2 - 24. Determine -3*m(k) - q(k).\nAnswer: 17*k**3 - 2*k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 5 - 6*n - 2.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b**2 - 20*b + 7. What is the remainder when n(-7) is divided by 47?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140282426 + 140282426 - 3*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144076 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 5. Let f be j(0). Let l(w) = 2*w - 306*w**2 - 298*w**2 - 7 + 611*w**2 - 5*w - 3*w - w**3. Calculate l(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62750 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - 2*c - 3. Let v(w) = -7*w**3 + 5*w + 7. Let j(z) = -4*z - 18. Let x be j(-5). Let q = 673 - 668. Determine q*b(d) + x*v(d).\nAnswer: d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minus -575233?\nAnswer: 575272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 573*k**2 + 489*k. Let v(f) = 382*f**2 + 306*f. Let x(l) = 5*r(l) - 8*v(l). Let b(z) = 12*z. Calculate x(b(g)).\nAnswer: -27504*g**2 - 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 18 = -2*u, -3*z + 5*u - 21 = -8. Suppose -4*v = -v. Let y be 0*(-1)\/(-3) - v. Solve z*h - 5*h = y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -188? (a) 3.1 (b) -0.3 (c) 7\/2 (d) 0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 + 123*a**2 + 1056*a - 4356 = 0. What is a?\nAnswer: -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12313*t**2*v**2 + 787*t**2 - 1084*t*v**2 - 46642*t with respect to v.\nAnswer: 24626*t**2*v - 2168*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (32 + -58 - -38).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 102, 1\/4, 98, 1 in ascending order.\nAnswer: -0.2, 1\/4, 1, 98, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -20*f**2 + 44*f - 22. Let q(p) = 3*p**2 - 6*p + 3. Let u(x) = -44*q(x) - 6*t(x). Let g(n) = 4*n**2. Calculate g(u(a)).\nAnswer: 576*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/5 - -139\/40. Let s = 15 + -7. Let j = s - 12. Which is the third biggest value? (a) j (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 25419.056.\nAnswer: -127095.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * 106.9\nAnswer: -245.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42915750.4 rounded to the nearest 1000?\nAnswer: 42916000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-33)\/(-154))\/(0 + 1) and 101\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*u**4\/7 + 4419*u**3\/7 - 126642*u**2\/7 - 745560*u\/7 = 0. What is u?\nAnswer: -5, 0, 38, 1308\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 223247315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21825 and 450?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 48 + -23 + -3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - b?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 92.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -276410877 and 6.\nAnswer: -276410871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-15)*6 - (-26)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 9:56 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454338?\nAnswer: 2, 223, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-511905)\/12 + 7\/(-28). Is (n\/(-58))\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1216) + ((-1 + sqrt(1216) - sqrt(1216))*6 - sqrt(1216)) + sqrt(1216) + sqrt(1216)))**2 - 5*((-1 + sqrt(931))**2 + 2).\nAnswer: -3002*sqrt(19) + 73730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 2*x, 0 = 4*z - 5*x. Suppose f = -z - 4, 0 = 5*p - 5*f. Let u(w) = -4*w**2 - 2*w - 1. Let q be u(-1). Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/2 - 233253*g**2\/2 + 1282840*g - 2099178 = 0.\nAnswer: 2, 9, 233242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1139417\/56 + 40697\/2. Calculate the common denominator of a and -55\/136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 1. Suppose 0 = -4*o + 4*z, 0*z - 2*z + 1 = -o. Let j be t(o). Solve 5*c + 13 = u, -u - 3*c - 15 = j*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1600) + sqrt(1600) + sqrt(64)\/sqrt(4)*-3 + sqrt(16))\/(sqrt(200)*2*-6 + sqrt(200)).\nAnswer: 2*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -246. Solve h*y + 8 = w, w + y + 12 = -2*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765028.6 millennia to months.\nAnswer: 9180343200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 - (3 + -6)). What is the least common multiple of (-18)\/2*(-4)\/3 and 0 - a\/1 - 90\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5951 + -5933. Solve 323*o - b = 329*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001 = 53*d - 20*d + 58*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*p + 9098 = -9914 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11137 + 1\nAnswer: -11136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.075214162 and 3?\nAnswer: -0.225642486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9658 is divided by 508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 220*l**7\/21 + 149*l**6\/6 - 147*l**5\/2 - 1355*l**4\/12 + 970*l**3\/3 - 150*l**2 + 2235*l. Determine u, given that w(u) = 0.\nAnswer: -2, -15\/8, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*1\/(1\/(-366)). Let u = -3330 - b. Round u to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1251\/7 + -179. Let y = 3649 + -3644. What is the nearest to -2 in -0.07, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 3*m - m - 2*m + 0*m - 3*m + 12*m + 149 - 149 + (-m + 2*m - 2*m)*(-2 + 0 + 3).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52007 or 364046\/7?\nAnswer: 364046\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1, 3, -355.\nAnswer: -355, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:18 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -462 + -2d?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1095, 2199, 3291, 4365, 5415, 6435?\n\"Answer: -w**3 + 1111*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 2, r: 1, s: 1, v: 2, a: 1}. Give prob of sequence sa.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**9\/5040 + c**6\/120 - c**4\/12 + 7*c. Let s(u) be the third derivative of j(u). Find the second derivative of s(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -34. Let m = 10.3 + s. What is m rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27925*v**2 + 3558*v wrt v.\nAnswer: -55850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 4\/7, -15, -14, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/17884764 and -43\/19314?\nAnswer: 17884764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w - 12. Let x be u(3). Solve -y + 3*y = x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 50. Let o be y(-15). Let l be 30\/o + (-14)\/12. Suppose 2 = -0*s - 2*s. Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.1 + -43. Let t = r + -2.2. Which is the closest to 3? (a) -4 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.0373, 1, -3, -3\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, z: 4, g: 2}. Give prob of picking 1 g, 1 o, and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-3) + -2 - -22. Calculate the remainder when 4*1\/(8\/l) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9)*4*70\/(-140). Let y = -72\/17 - -661\/136. Let n = y - 1\/4. Sort j, -2, n in decreasing order.\nAnswer: j, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1143183*c**2*d - c*d - 16*c + d + 40398091 wrt c.\nAnswer: 2286366*c*d - d - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/35 - 2\/(-7). Suppose 8733 = 5*x + 3*f, 4*x - f = -n*f + 7000. Suppose 9*r + x = 12*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 48720 = 5*x + 48655, 2*x - 38 = 2*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Let s be -2 + 45\/20 - 6\/(-8). Let r(x) = 8*x - 6. What is s*r(k) - 5*v(k)?\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 253 = 109. Solve -4*a = 4*m + m - 2, -5*a + 3*m - b = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 227 + 13?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1780469?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (9 + (3 - 5 - -5) + -10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2563 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = 2, 3*u = -p + 274. Let c = 24 - 20. Suppose m + c*g - 27 = -g, -4*m = 4*g - u. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/20)\/(2\/(-4)). Let v = 1009\/9 + -112. Let y(s) = s**3 + 7*s**2 - 8*s - 4. Let j be y(-8). Sort m, v, j in descending order.\nAnswer: m, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*47\/2*2 is divided by 4\/((-48)\/(-135)) + 3\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -43\/24*f**4 - 2 + 0*f + 27*f**2 + 0*f**3. Let w(t) = -4*t. Give x(w(j)).\nAnswer: 172*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 11*q**2 + 2*q - 11. Let c be s(11). Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 12. Suppose 54 = -u + 6. Calculate the common denominator of -43\/6 and r\/u + (-2)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2268))**2*5)*4.\nAnswer: 45376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.25 + -198.45. What is u rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/5)\/(p*p**(-5))*(p**1)**(1\/31) assuming p is positive.\nAnswer: p**(749\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (19 - 17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292588586.\nAnswer: 2, 71, 163, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 0.3479?\nAnswer: 0.3479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 35984.5?\nAnswer: -7196.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*c, -v = 4*v + 3*c. Solve 2*a + 4 = -v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199194 is divided by 682?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 - l + 154. Let i be f(0). Let a(h) = h**2 + 5*h - 2. Let c be a(3). Calculate the highest common factor of c and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:03 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65.9518059 - -124.9518016. Let j = -59 + a. What is j rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose 0 = 5*c + 8*p + 368, 0 = -3*c + 5*p - 6*p - 236. Put -5, q, c in descending order.\nAnswer: q, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 4) to base 7.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10))**16 assuming x is positive.\nAnswer: x**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, 84, 277, 566, 951?\n\"Answer: 48*b**2 - 47*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 16) to base 5\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = -p. Suppose p = g, -57 = -l - 3*l - 5*g. Suppose 3*x = -2*t + 117, 0 = 4*x + t - 203 + 47. What is the highest common divisor of l and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -4 (b) -0.5 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0376191 rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 526795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**8\/168 + 79*b**7\/42 - 451*b**5\/60 + b**2 - 838*b. Find the third derivative of p(l) wrt l.\nAnswer: -120*l**2 + 9480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-344)\/1634)\/(20\/(-2945))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 26. Let i be (4\/14)\/((-1)\/q). Suppose -16 = -c + i. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33356*f**2 + 21206*f**2 - 6134*f**2 + (2 - f - 2)*(4 + f - 4) as o*f**2 + g + l*f and give o.\nAnswer: 48427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -29*b**2. Let q(w) be the third derivative of -w**7\/630 - w**5\/5 - 7*w**4\/24 - 50*w**2. Let r(s) be the third derivative of q(s). Calculate a(r(f)).\nAnswer: -1856*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -9*d - 1550. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192209 is divided by 409.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4.03. Let f = u + -5.03. Which is the closest to 1? (a) 2\/13 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46, 48, 54, 64, 78?\n\"Answer: 2*s**2 - 4*s + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -47, -25, 13, 73?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*q - 2*g + 11, -4*g - 8 = -3*q. Let j(r) = -r**2 + 8*r - 4. Let x be j(6). Find the first derivative of -3 + a - x + q - 3*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*j - 115*j = -164*j + 541*j + 95872 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/60 - k**5\/20 - k**4\/24 - k**3\/3 - 5*k**2. Let x(b) = 6*b**3 - 10*b**2 - 4*b - 6. Calculate 10*j(r) - 3*x(r).\nAnswer: 2*r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*4\/(-19). Let o = 0.4 - 0.5. Which is the biggest value? (a) o (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-1) + 2\/2. Let a = -9 - c. Is a equal to 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.299555 rounded to two decimal places?\nAnswer: 29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -9. Suppose -2*v - 10 = -5*w, r*w - 1 = -2*v + 9. Solve -4*y = -3*m + 7, -1 = 2*m + w*m + 5*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1617210 = 28*l - 118*l. Does 151 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = -12*s - 168. Let v = -0.4 - 0.1. Sort v, -0.3, s.\nAnswer: s, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855013947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3315860.74 - -3260879.74112. Let n = u + 54992. Let g = n + -11. What is g rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6242 (base 8) in base 6?\nAnswer: -22550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705286551.\nAnswer: 3, 41, 1297, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33902*x - 34347 wrt x?\nAnswer: 33902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*y**3 + 137*y**3 - 1163*y**3 + 202*y**3 + 206*y**3 + 203*y**3 + 200*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5521436*s**3 + 4*s**2 - 9*s - 5521422*s**3 + 9*s.\nAnswer: 14*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.844 - -30.1. Let y = -0.656 + l. Put 1.2, 1\/2, y, 0.1 in decreasing order.\nAnswer: 1.2, 1\/2, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 5*y - y)*(58*y**3 + 2*y**3 + 13*y**3) - y**4 + 100*y**3 - y**4 - 113*y**3 to the form b*y**2 + t*y**3 + k*y + g*y**4 + h and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-4)*(-14)\/(-1)*2\/28?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107654*p + 209668*p - 108400*p)*(2 - 1 + 1).\nAnswer: -12772*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 6:29 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 220.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(162)*1 + sqrt(2)).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1db255 (base 14) in base 9?\nAnswer: 2006766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2412936 is divided by 1979?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (3 - (1 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.57 - 0.2\nAnswer: 5.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -895*t + 752 + 1788*t - 894*t in the form r*t + u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 57, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + z**2 - 163*z - 4*z**2 + 2*z**2 - 902*z.\nAnswer: -z**2 - 1065*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 119449652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313930 divided by 1156965?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = m + 16, 0 = -3*z - 5*m + 8. Suppose 0 = u + z - 21. Suppose 9 = 3*g - u. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**11))\/(a*a**(8\/9)*a)*(a**(3\/2))**(-6\/5) assuming a is positive.\nAnswer: a**(-706\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -473*((-78)\/(-13) + -7) is divided by 232.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = j - 5*w + 198, 0 = 64*j - 2*w + 7 + 137 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*p**5 + 561*p**2 + 1226*p + 72.\nAnswer: -1780*p**3 + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -273.48878 to one decimal place.\nAnswer: -273.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -1\/761 (c) -4 (d) -0.2 (e) 8\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 12.7, -0.05, 117, -3, 3\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*p + 4 = 35, 3*v - 3*p = 45. Calculate the greatest common factor of v and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6255.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 70 (b) 0.3 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.59 + 5.82. What is the second smallest value in m, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tggggtgggggtggtgggt. Give prob of picking 4 g.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 - 3. Suppose -10*l = 4*z - 376, -38 = 2*z - 36. Suppose 22 = -u*f - l. Sort f, 4, 3 in descending order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 425 + -377. Suppose v*u = 38*u + 9220. What are the prime factors of u?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10997632, 10997634, 10997636, 10997638?\n\"Answer: 2*j + 10997630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4189 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.363146mg in grams?\nAnswer: 0.000363146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -187 in -2\/17, -6, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*k - 3 = 0, -4*k = k + 10. Let a = l - 1. Suppose -5*s + 6 + 29 = a. What is the remainder when 19 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 17 = -38 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**3\/3 - 11*a**2\/2 - 8*a + 1. What are the prime factors of w(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10048 = -2*m, -5016 = -4730*g + 4729*g - 3*m. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.53418 + -10.534104. Let f = 2 + k. Round f to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -317 * 1.83.\nAnswer: -580.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/3 - 79072*r\/3 - 2927033\/3 = 0. What is r?\nAnswer: -37, 79109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7920) + -1*sqrt(7920)))\/(sqrt(132)\/(sqrt(300) + sqrt(12))*-5) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h**2*i**3*j**2 + 474*h**2*i*j**2 + 9*h - 3*i**3*j**2 - 6*i**3 + j**2 wrt h.\nAnswer: 20*i**3*j**2 + 948*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121120 + -1102201?\nAnswer: -11001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1511378 and 2.1?\nAnswer: 1.9488622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042676293 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438 + 441. Solve z*k - 8 = -5*c + 12, -c = 4*k - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 6*a - 823. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 116 = 8*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -78*f**3 + 22229*f**2 + 281*f + 1165. Give y(285).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 10*f**2 - 4*f - 40. Let i be b(-9). Which is smaller: -84 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*i**2*p - 2*i**2 - 31*i*p**2 + 2*i*p + 3482*p**2 + p + 2 wrt i.\nAnswer: -74*i*p - 4*i - 31*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r - 121*r - 587 = 46*r + 277 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -221, -358, -623, -1058, -1705, -2606, -3803?\nAnswer: -5338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - -5)\/(-4*3\/2). Let y(g) = -g**3 + 4*g**2 - 2*g - 3. Let f be y(3). Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108.2 - -108. Let o = -8.4 + -13.6. Do o and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 5. Let j = 20 - 16. Let c be t(j). Suppose 5*g - c = 9. Solve 3*k - g - 1 = -3*p, -3*k = 4*p - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/((8\/20)\/(6\/66)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1747.7 to the nearest ten.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + -2 + 10 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 29. Let y be 2*(-2)\/8 - ((-990)\/308)\/15. Do v and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6013 = 5*o, 2*c - 4034 = -0*o + 3*o. List the prime factors of c.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzjzzzjjzjzzzzzzz. What is prob of picking 2 j and 2 z?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 322.\nAnswer: 18\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517120 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052794241 to 5 dps.\nAnswer: -0.00528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3851\/238 + -48\/17. Let u = 12 - o. Calculate the common denominator of -115\/12 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233043410 (base 5) to base 6.\nAnswer: -34500440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - -63*1\/(-14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -60, 2\/45, 80270?\nAnswer: 80270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20756730, -20756722, -20756712, -20756700, -20756686?\n\"Answer: b**2 + 5*b - 20756736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-525) + 560\/7000 - ((-1854)\/7)\/6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**3 - 33636*f**2 + 2339820*f = 0?\nAnswer: 0, 70, 11142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l. Let s(x) be the second derivative of -7*x**4\/6 + 2*x + 2. Give i(s(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94317 - 37562. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.3039 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(8\/(-80)*-5). Suppose 3*d + u*h + 5 = 0, 3 = 4*d - 3*h - 0*h. Solve -3*q + q = -b + 9, 2*q + 3*b - 11 = d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 228, 1\/3, -0.2, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:35 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 <= 1561102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - ((sqrt(1331) - (sqrt(1331) + -3)) + sqrt(1331)))**2 + -5 - -6*(sqrt(1331) - (sqrt(1331)*-2 - sqrt(1331))**2).\nAnswer: -71870 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24413585291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 3, 4, 5, 7, 2 in descending order.\nAnswer: 7, 5, 4, 3, 2, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 149.1. Let p = d + 9.4. What is the fourth biggest value in -3, -5, p, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 10*m**2 - 102*m + 172. Let u be d(3). Let p(h) = h**2 + 17*h + 36. What is p(u)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (-2 - -2) + -9 + 1 + -1 + -5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2540, -5742, -9592, -14084, -19212, -24970?\n\"Answer: n**3 - 330*n**2 - 2219*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v + 254 + 1204 = 0 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/3 - 10226*j + 64936816\/3 = 0 for j.\nAnswer: 2536, 12803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54464787 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 9170127668.321.\nAnswer: -9170127663.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -ed (base 15) in base 4?\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - 34\/52. Let j = -0.571 - -0.071. Put -3, l, j in decreasing order.\nAnswer: l, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-24))\/((-40)\/260 + 38\/78).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(153) - ((0 + sqrt(153))**2 + -3))*5.\nAnswer: -750 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**3*z**2 + 27244*f**2*z**2 + 6*f**2*z + 317*f*z + z**2 + 7361*z wrt f.\nAnswer: 36*f*z**2 + 54488*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 2*c + 28. Let g = -21 - -21. Suppose g*z = z + 2*d + 2, -2*z = -4*d - 4. What is the remainder when w(z) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = r - 68, 0 = 4*c - 3*r - 304 + 18. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (455 - 444) + (1 - 60).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -18*b**3 - 1. Let x(h) = -h**2 - 39*h - 221. Let d be x(-32). Let v be 13\/(-11) + 124\/(-44) + d. Calculate l(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 300126?\nAnswer: -1\/150063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 148*l**2 - 2*l - 1. Is t(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 0 - 461*(0 + -1). What is the second derivative of l + 13*h - 10*h**4 - 13*h**4 - 464 wrt h?\nAnswer: -276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -188, -193, -200, -209, -220?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a - 3*c = -38*a - 7209, a - 2395 = -5*c. What are the prime factors of a?\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -14*v**2. Let h(z) = 2*z**2 - 133. What is h(m(g))?\nAnswer: 392*g**4 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -21 - -54) + -20.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 + -3) - (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221 by 17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -139252*-43\nAnswer: 5987836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 3, 5*c - 11 = 7*c + 3*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.3. Let k = 5 - 5.2. Let v = k - -0.1. Which is the nearest to s? (a) v (b) -4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/528 and -37\/132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*g - 31, 3*r + 11 = g - 6*g. Put 2, r, 5 in decreasing order.\nAnswer: 5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 - 6*p + 180\/11.\nAnswer: 2*(p - 30)*(p - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*m + 33, -5*h + 0*m + m = -39. Let f(a) = -a + 7. Determine f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 107045 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 2*o)*(-4*o**4 + 5*o**4 + 0*o**4) + (2*o**4 - o**4 + o**4)*((-o + 5*o - 2*o)*(0 + 4 - 1) + 2 - 2 + o).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(90\/(-40)))\/(2\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104 - 53 - 67*h**2 - 52 in the form r*h + c*h**2 + l and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(95) + sqrt(95))*-5)\/(sqrt(240)\/sqrt(12)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 + 4*i + 4. Let z be m(-4). Suppose 0 = 4*r + 3*d - 1732, -d + 2*d + z = 0. What is the units digit of r\/16 - 9\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -68, -102, -136, -170, -204?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 436 - 308. Let j = 15 + 1. Calculate the highest common factor of j and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 11:23 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 1 (c) -1\/1568929 (d) -4\/7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 5\/10*4)\/(-1). Suppose d = -5*l + 4*n + 157, -3*n - 17 = l - 37. Solve -5*h = -6*t + 3*t - l, 5*t + 2*h = -7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7845 = 5*s + w, 5*s - 6275 = s - w. What is s rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/10 - 12601*x**3\/5 + 158759997*x**2\/10 + 158797802*x\/5 + 79405202\/5 = 0. What is x?\nAnswer: -1, 12602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 105*p**2 + 2*p + 68. What is the units digit of j(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -112741, -451190, -1015279, -1805008, -2820377, -4061386, -5528035?\n\"Answer: -112820*c**2 + 11*c + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8\/3, 0, 3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 8. Let t be y(12). Let d be t*1 - (-437)\/114. Let u = -8 - -3. Put d, u, -4 in ascending order.\nAnswer: u, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 8:00 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -384*a**4 + 507*a - 2. Let y(d) = -771*d**4 + 1015*d - 5. Let v(w) = 5*x(w) - 2*y(w). What is the second derivative of v(h) wrt h?\nAnswer: -4536*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3348\/54)\/((-176)\/88)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3705 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-12) - (-3)\/(-9))\/((-225)\/(-2400))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.04 + 2.84. Let w(z) = 2*z + 5. Let s be w(-5). Let x = 6.08 - 6. Which is the biggest value? (a) v (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1732 + -646. Suppose 47*p = 41*p + l. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Suppose 3*q - 46 + 4 = 0. Suppose -4*c + 2 = q. Give y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a - 2*a - 7*a - a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*k + 210 = -50, -2*n + 164 = -k. Suppose 5*v - 6 - n = 0. Solve -2*q = -5*q + 3*c - v, q - 5*c = -22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4387 - -4390. Solve 5*u = i - 18 + 2, -3*i = z*u + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/84*5*-2*(-21)\/(-280)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - g + g**3 + 2*g**2 + 18 - 2*g**2 - 17 + g**4 in the form z*g + i*g**3 + p*g**4 + b + u*g**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 139) + (69 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(320) - (4 + sqrt(320) + 1) - (6*sqrt(320)*-2 + sqrt(320) - sqrt(320))))**2.\nAnswer: -8640*sqrt(5) + 414945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 73*z**2 - 430*z - 30. List the prime factors of b(66).\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(88)\/sqrt(11) + sqrt(2))*5*2)**2 - (sqrt(12)\/sqrt(3)*-4)\/(sqrt(24)\/sqrt(3))).\nAnswer: -7200 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -12418a6?\nAnswer: 12418a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + 12. Let j(h) = -6*h + 38. Calculate the remainder when s is divided by j(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3748 + -3676. Solve -75*m + i*m = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/75 - 26*b**4\/5 - 1160*b**2. Factor c(i).\nAnswer: 4*i*(i - 156)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5\/3 + 8000*x**4\/3 - 1169585*x**3\/3 + 43780810*x**2\/3 + 91102400*x\/3 + 46144000\/3 = 0.\nAnswer: -1, 80, 1442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61941121?\nAnswer: 11, 19, 296369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18021462 and 2584.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Which is the biggest value? (a) 0.13 (b) w (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10705950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69\/7 + 59\/7. What is the common denominator of n and -191\/462?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/7 - 664\/56. Let j = o - -20. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -70288 greater than -70288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4422 and -96.\nAnswer: 424512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = 4. What is the greatest common factor of 57 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5873, -11664, -17405, -23090, -28713, -34268, -39749, -45150?\nAnswer: -50465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31497.\nAnswer: 3, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1358 and -0.5.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8472 + 3*m - 8*m - 4245 - 4227.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 195.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 10*g**2 - 38*g + 9. Let h be r(-13). Suppose -2*p = -3*l + 150 + h, -l + 2*p + 392 = 0. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904387 to the power of 1\/2, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36\/13 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-489)\/(-2) - (-5)\/(-10). Let g = 573 - m. What is the tens digit of (-28 - g)*(-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491164 is divided by 3929?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -34111\/19939?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/23 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + 5*z - z)*(0 + 0 + 2) - 26 + 26 - 15*z)*(-z + z + 2*z + (7 + 5 + 6)*(-5*z - 5 + 5)).\nAnswer: 792*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 21712 - 21568 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13712415 - -6?\nAnswer: 6.13712415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 6*j + 10*j - 35*j + 8*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0259 - -0.3259. Which is the closest to -75? (a) 0.5 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (110\/(-40))\/(-11) - (-317)\/(-372) and 113\/12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4)\/(((-8)\/14)\/((-40)\/280)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 39924*t + 15439736.\nAnswer: 4*(t + 403)*(t + 9578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -5\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 + 5*j + 0*j**2 - 1\/2*j**4 + 0*j**3. Let q(z) = -6*z + 5. Let o(h) = 5*h - 4. Let m(y) = -5*o(y) - 4*q(y). Give i(m(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*d + 40 = 180, -2*d + 40 = k. Solve k = 7*l - l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**4 + 2*t**4 + 3*t**4 + 7*t**2 - 1 to the form z*t**2 + x*t + f*t**3 + v + k*t**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/21 + (-5373)\/(-63) is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from myymqmhhmmjjhyyymy?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11529093 divided by 3843031\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*l = 66, -8*h + 1058*l = 1062*l - 136. Calculate the remainder when (-1375)\/(-4) + (-3)\/(-12) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-15)\/6. Let g(b) = b**2 - 3. Let w be g(l). Let v be ((-2)\/w)\/((-5)\/(-15)). Do 1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*q + 8 - 8 = -32, 62*v + 885 - 3805 = -2*q for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2198*t + 297 - 12 - 2199*t - 3*t - 3*t + 3*t + 2*t + t - 4*t + (-4 + 2 + 0)*(6*t - 2*t - 2*t) + 2*t - 4*t + 4*t - t + 2*t + 0*t.\nAnswer: -6*t + 285","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffllllflffff. What is prob of picking 3 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552, -671, -950, -1455, -2252, -3407, -4986, -7055?\nAnswer: -9680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094781.\nAnswer: 3, 47, 113, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 11778?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 2. Let v be j(-5). What is the third derivative of -2*o**2 - 2*o**3 + 2*o**v + 2*o**3 - 3*o**3 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156) - sqrt(156))*-6)\/(-6*sqrt(12)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.4, -3, 1\/7, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*c**2 + 86*c**2 - 32*c**2 + 3*c to the form w*c**2 + l + q*c and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -252*n + 1255. Let i be a(5). Let z(l) = 13*l + 11. Let p(v) = v + 1. Let w(k) = 22*p(k) - 2*z(k). What is w(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -10 + 3 + 2 + (-9 - -13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-7 - 10 + 9)*(920*g + 323*g - 676*g).\nAnswer: -9072*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = -8*t. Let m(o) = o + 14. Let c be m(0). Let d = c + t. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 666 + -666.9. Put -4, -2\/11, a, -0.2 in ascending order.\nAnswer: -4, a, -0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 + 6*m**2 - 67 + 12*m**2 as r*m + b*m**2 + t and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*v + 6 + 7*v**2 + 161*v - 202*v - 132*v.\nAnswer: 7*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 5\/11330663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*t + 3. Suppose -t*a = 5*b - 46, -5*a - 3*b = 2*b - 145. Calculate the highest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 5. Let p(v) = v**3 - 14*v**2 - v + 20. Let g be p(14). Let u be h(g). Let x = u + 37. Calculate the remainder when 35 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**4\/4 + 8*s**3\/3 + 9*s**2\/2 - 7*s + 27. Calculate the lowest common multiple of v(-6) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - 4*q)*(-2*q + 2 - 2).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -49166 less than or equal to -49164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613815*y + 78*y**2 + 613815*y.\nAnswer: 78*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52908.3 millimeters in meters?\nAnswer: 52.9083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 506112*w**2 + 32010570240*w + 1024856571904.\nAnswer: 2*(w - 126544)**2*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -122. Let x be ((-2)\/4*0)\/1. Suppose x = -2*f - c*f. Solve u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12*n = n + 132 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 3*z**2 + z + 1. Let y be r(2). Let w(f) be the first derivative of -5*f**4\/4 + f**2\/2 + f - 41. Let q be w(y). Sort 3, q, -2.\nAnswer: -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 10 = 12*q. Let a be (-2 - q)\/((-2)\/1). Suppose 0 = 3*g - o - 201, o = -4*g - a*g + 268. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -83*g**6\/6 + 2*g**5\/5 - 373*g**3\/3 + 1224. Find the third derivative of u(s) wrt s.\nAnswer: -4980*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1618176 and 602?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -261271*w**4 - 713170?\nAnswer: -1045084*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84034*q + 13 - 5 - 84150*q.\nAnswer: -116*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:59 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/11910 and -53\/8394565.\nAnswer: 50367390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 461 and -1.27.\nAnswer: -585.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/2 in 5, -0.539, 2\/7?\nAnswer: -0.539","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 35 = 3*n + 1, -4*n = -3*u + 41. What is the smallest common multiple of u and 99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1992, 3711, 5440, 7179, 8928, 10687, 12456?\nAnswer: 14235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a9539 + 8a?\nAnswer: -2a947c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -52*q**2 - 6*q + 16. Let j be h(-12). What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/1470 + 7*l**6\/60 - 622*l**5\/105 + 160*l**4\/7 + 3072*l**3\/7 + 5*l**2 - 287*l. Find u, given that j(u) = 0.\nAnswer: -2, 4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {t: 1, l: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14*y**3 - 10*y**2 - 22*y + 89. Is h(8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.2 (b) 17 (c) 301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 4*b. Let t(f) = -3*f**2 - 5*f. Suppose 4*d + 5*q - 6 = 0, d + 77*q - 74*q + 2 = 0. Calculate d*t(c) + 5*n(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21200.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -140748551*c**2*z - 6291974*c**2 + 3*c wrt z.\nAnswer: -140748551*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.03 (b) -3 (c) 5 (d) 25\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41.89 and 0.056909?\nAnswer: 41.833091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6267.2 - 6267. Which is the nearest to -3? (a) -3 (b) y (c) -4 (d) 2\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 189\/(-49) + 4 - (-20)\/(-42). Let m = 599\/86 - 12883\/5418. Let k = -40\/9 + m. What is the second smallest value in k, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -415?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 + 6*x. Let k be p(5). Suppose 2*m = -2*y - 3*m + 41, k*m - 17 = y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytzzpzznyz. What is prob of picking 1 n, 1 t, and 1 z?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -31*o. Let m(i) be the first derivative of i**3\/3 + 220*i + 10676. Give m(b(s)).\nAnswer: 961*s**2 + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4658745 divided by -4?\nAnswer: -4658745\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + m = 7 + 287, 0 = 4*f + 4*m - 232. Solve -f*k - 25 = -34*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -2 in increasing order.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (46 + -24) - (0 - 37).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -12242361?\nAnswer: -12242322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**32*x**25 assuming x is positive.\nAnswer: x**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 611*f = -11*f + 353*f - 64052 for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9542 or 66804\/7?\nAnswer: 9542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -12.7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + a - 40)*(-16*a**2 - 4*a**2 - 6*a**2).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 29 = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-48)\/(-360)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/56126 and -93\/16?\nAnswer: 449008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3263, 966, -1331?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 1195?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and 0.0011?\nAnswer: 0.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225714498?\nAnswer: 2, 3, 151, 249133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -14. Suppose 5*u - 4*d + 6*d - 16 = 0, -5 = 5*u - o*d. Find the second derivative of 2*t + u*t**3 + t - t wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -21.9. Is 10 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161723352 divided by -168\nAnswer: -962639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/641 (b) 73 (c) -12 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 2*p - 4. Suppose 3 = -s - 1. Let c = s - -6. Suppose 3*i - 16 = -i - c*z, -2*i = -z. Let m(k) = 5*k**2 + 10*k + 21. Give i*m(w) + 11*y(w).\nAnswer: -w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*c - 179, 3*m - 5*c - 97 = 181. Let z be 52\/m + 1\/((-14)\/(-230)). What is the greatest common factor of 153 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -30. Let r be 28\/5*(-44)\/(-8). Let c = m - r. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*t**4 + 680*t**3 + 75*t**2.\nAnswer: 5*t**2*(t + 15)*(9*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 652 - 652. Let x(t) = -4*t**2 - 7*t + 461. What is the units digit of x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4943492248 to the power of 1\/2, to the nearest integer?\nAnswer: 70310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:45 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 25749*k - 3579104. Determine c(139).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/92119?\nAnswer: -2\/92119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -520 - -518. What is the nearest to 0 in -0.1, j, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111301.866 - 111395. Let a = y - -0.134. Let j = -93.203 - a. Round j to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 + 8*c + 1. Is t(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-12)\/3*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 + 2183864*h + 4367744 = 0. Calculate h.\nAnswer: -2, 545968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -312\/5 and -63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -76. Let t(g) = -g + 4 - 6 + l. Let k(h) = 27*h. Determine t(k(c)).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/47))**(-1) assuming v is positive.\nAnswer: v**(-2\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - 4*i**4 + 2*i**4 + (-i**2 - 5*i**2 + i**2)*(-i**2 + 3*i**2 + i**2).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62838439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 13*y = 105. Let p be (-1143)\/15 + -3 - (-3)\/y. Sort -3, p, 5, 0 in increasing order.\nAnswer: p, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:04 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/7, 0, -560730?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -3*l + 1\/70*l**6 + 0 + 0*l**2 + 1\/14*l**4 - 9\/140*l**5 + 0*l**3. Suppose n(c) = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 17. Suppose -j*y = -y - 4*c - 18, -5*c + 9 = -y. Solve y = -3*r + 2*r + 4*s, 3*r - 2*s = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49834\/24917*-23*3\/1\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -11\/3*s**3 + 1\/20*s**5 + 0 + 1\/2*s**2 + 1\/3*s**4 - 30*s. Let n be v(-7). Is n equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/7 (b) -0.4 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let u = 689 - 251. Suppose -566 = -m*o + u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.183783 meters?\nAnswer: 0.000183783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 20. Calculate x(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - -3 - (-6)\/(-4)*26. Let w = -38 - l. Suppose 2*f - 3*f - 4*u + 39 = 0, -w*f = -u - 105. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*j**3 + 976*j**3 - 44*j**3 + 1334*j**3.\nAnswer: 1779*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10626*i + 79410 = -1322*i - 901*i - 23382 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(39)\/(sqrt(3) + sqrt(3)*1)*2.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**3 - 4*x**3 - 4 + 2*x - 2*x**2 + 0*x**3 + 0*x. Let k be q(6). Suppose 0*d - k = -2*d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*c**2 + 32*c - 21*c - 5*c**2 - 27*c to the form z*c + t + j*c**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2708 - -4071. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 116*z + 17. Let b(y) = 39*y + 6. What is -11*b(n) + 4*j(n)?\nAnswer: 35*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -1422, -4882, -11606, -22680, -39190?\nAnswer: -62222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 11:36 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9465871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 + 228*b**2 - 12*b - 282. What is the remainder when 1262 is divided by g(-76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32298, -64579, -96860?\nAnswer: -129141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 993390775 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*1*(-24)\/(-15). Suppose z = -s + h, -3*s + 0*s + 56 = -5*z. Let f = -77 + 137. Calculate the greatest common factor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*q + 19, 3*q - 4 = -5*j + 53. What is the remainder when -2 - (3 + -3) - -34 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2 - 3 - -5) - 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18 - 6 - 12 + r. Let a(o) = -2*o**2 - 6*o. Determine -a(i) - 4*t(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**3 + v**2 + 3*v + 3. Let c be x(-1). Solve c*a = 4*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979119.\nAnswer: 3, 108791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 1\/(-2)*-2. Suppose 0 = -5*z - m*x - 3*x + 5875, 0 = 3*z + x - 3517. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 5*o**4\/24 - 5*o**3\/3 + o**2. Suppose 0 = -3*c - 3*n + 30, 0 = 2*c + 3*c - 4*n - 14. What is the tens digit of s(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, a: 1, m: 2, q: 3, w: 3}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, -80, -269, -620, -1187, -2024, -3185?\n\"Answer: -9*r**3 - 18*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.03, 1, 0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441683 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3*v + 12 - 6)*(3 + v**3 - 3 + 3*v**3 + 17*v - 17*v + (-2*v**2 + 3*v**2 - 8*v**2)*(-v + 2*v - 3*v)).\nAnswer: -54*v**4 + 216*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11047 + 11047.00030397. Round s to 5 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19 + (2 - 6 - -1). Suppose c - i = -0. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 4, g: 5}. Give prob of picking 1 h and 2 b.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/33 (b) -2\/7 (c) -4 (d) 78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = -2*v - 21, -4*z - 28 = 4*v. Let p = v + 1. Calculate the remainder when 568\/(-12)*p\/4 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -3\/25*m**5 + 3*m + 13\/30*m**4 + 4\/5*m**2 + 0 - 4\/5*m**3 + 1\/75*m**6. Factor j(u).\nAnswer: 2*(u - 2)**2*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20037806*l + 1 - 2 - 20037794*l. Let f(h) = 11*h - 1. Give -4*c(b) + 3*f(b).\nAnswer: -15*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -0.5, -4, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.3 - 68. Let j = 26.9 + n. What is the third smallest value in j, 25, -3\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -9) + (116 - (328 + -133)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1424*l - 411 wrt l.\nAnswer: -1424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*f - 131 + 76 = 0, -15 = -2*n + f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**2 + 1476*d + 76360 = 0?\nAnswer: -46, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*u - 60, -2*g + 23 = -u - 8. Let x = g + -7. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -58*r**3 - 6*r**2 - 3*r - 8. List the prime factors of i(-2).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/44*6)\/(27\/18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 3*h + 1. Let d(o) = 9*o**3 - 10*o**2 + 18*o - 125. What is -d(k) + 6*z(k)?\nAnswer: -3*k**3 - 2*k**2 + 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31076 + 28956. Is -2123 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 - -1147. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -448842984 and 28463.1?\nAnswer: 448871447.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 4 + 0 + 6*r)*(2*r**2 - 4*r**2 + r**2) as i*r**2 + j*r + s*r**3 + d and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 109 - 105 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17474.\nAnswer: 2, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4222161621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/77 and -103\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8*z - 26 = 0, 4*d + 19*z = 21*z + 16. What is the third smallest value in d, -7, 0.2, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 4*s + 6. Let o(l) = -l**2 + 3*l + 5. Let k(n) = 3*o(n) - 2*x(n). Let h be k(0). Solve -3 - 6 = -h*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4\/3 + 8*l**3\/3 - 964*l**2\/3 + 952*l\/3 = 0. What is l?\nAnswer: -17, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*o - 45*x + 48*x - 154201, -2*o - x = -7522. What are the prime factors of o?\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -42*o + 5. Let a(s) be the second derivative of -7*s**3\/6 + s**2\/2 - s. Let r(z) = -39*a(z) + 6*v(z). Find the first derivative of r(d) wrt d.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1637.68 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 t when three letters picked without replacement from {f: 8, u: 5, o: 3, e: 1, t: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - q**4 + 0*q**4 + (1 + 2*q**2 - 1)*(24 + 3*q**2 - 24) - 2*q**4 + 4*q**4 + 4*q**4.\nAnswer: 13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = 29*b - 6*u - 9786, -5*b + u = -16373. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*s - 9 + 2, -s + 1 = 0. Let u be (-3 - -2 - t) + 7. Suppose 2*w - 2*f = -3*f + 3, -3*f = 3. Solve 0 = -5*k - 5, -3*q + w*q - u*k = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 11. Suppose -g = -1 - 1. Let -g*n**r + 3\/2*n**2 + 0 - 3\/2*n**4 - 1\/2*n + 5\/2*n**3 = 0. What is n?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 5*f**4\/8 - 25*f**3\/6 - 15*f**2\/2 + 94. Factor h(v).\nAnswer: 5*v*(v - 6)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15691.\nAnswer: 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -11) + -8 - (-4 - (-7 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -4, -6, -3 in increasing order.\nAnswer: -6, -4, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c + 3*w - 3403, -2*c + 5*w = -1695. Let k = c - 591. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263 - -117. Let y = 145.731 + l. Let f = -0.2829 - y. Round f to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 - -676. Let m = n - 382. What is the biggest value in 46, m, -0.5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 22 = -6. Suppose 5*z - 3*m = 253, 0 = -3*z - 5*m + 2 + 143. Let k(g) = -16 + 4*g + 61 - g**2 - z. Give k(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 227.\nAnswer: 2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**3)**(2\/143)*(c*(c**(-3)\/c)\/c)**14)**(2\/37))**(-14) assuming c is positive.\nAnswer: c**(224336\/5291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 323\/6 - 54. Let k be (-423)\/36 + 2\/(-8). Let f = k - -11. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4995 divided by -5\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.53101 - -0.43101. Let s be 0\/(2*2\/(-4)). What is the closest to s in p, 4, 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 961950.5mm?\nAnswer: 961950500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b - 145. Calculate h(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + f + 237. Let t be m(0). Let r = -1663\/7 + t. Let s = -4 + -1. What is the smallest value in -5\/4, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16330545 (base 7) to base 8\nAnswer: 6034213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.6. Let i = -2.3 - n. Let z = i - -2.1. Which is the closest to -0.1? (a) z (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 95 - 15 = 0. Suppose -5*v = u + 4*u + 10, 0 = -4*v - 5*u - 12. Let y(k) = -12*k**2 + k + 1. Let t(x) = x**2. What is b*t(z) + v*y(z)?\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 68943784*i - 297077834514916.\nAnswer: -4*(i - 8617973)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**2 - 9. Let g(q) = q**2 + 5*q - 9. Let r(p) = -3*p + 5. Let u(s) = 3*g(s) + 5*r(s). Let b(c) = -2*j(c) + 9*u(c). Let t(w) = -2*w. Give t(b(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(19) - sqrt(19)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 110?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*u - u - 19 = 0, f + 3*u = 11. Let x be (1 + f)*(-32)\/12. Let n be x\/(-6) - (-14)\/(-6). Is n equal to 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:45 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 827111164 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*u**3 + 21*u**4 - 2*u**2 + 2*u + 39*u**3 to w + b*u**2 + m*u**4 + i*u**3 + g*u and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*-2*(2*sqrt(1900) + -5 + sqrt(1900)*1*-5 + 0))**2.\nAnswer: 19200*sqrt(19) + 1096000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 3, 1\/11, 94, -1\/5 in increasing order.\nAnswer: -4, -1\/5, -0.1, 1\/11, 3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30*s = -27*s + 37, 0 = 2*i + 3*s + 35. Let o = 16\/1991 - 523953\/39820. Let v = o - -62\/5. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*c - 154, -5*y + 820 = 2*c + 2. What is the highest common factor of y and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 2*a**2 - 2*a**2)*(3 - 6 - 10).\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217 - 216.11. Let u = q - -0.11. Which is the closest to u? (a) 1 (b) -1\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 4*b**2 + 3*b + 3. Let g be m(-3). Let t(x) = 2*x - 7 + x**2 + x + g. What is t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*j**(-3)\/j)\/(j\/(j**(-3\/4)*j)*j\/(j*j**(-7))*j))\/(j**(-1\/7)*j**0)**10 assuming j is positive.\nAnswer: j**(-177\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/24 and 113\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and -12?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0265 minus 2056011?\nAnswer: -2056013.0265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.15 to 0 decimal places.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23827, 23825, 23821, 23815, 23807, 23797?\n\"Answer: -d**2 + d + 23827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let o(w) = -6*w**2 - 14*w + 4. Let l(i) = -i**2 - i - 2. Let b(a) = -4*l(a) + o(a). What is b(f) + 12*p(f)?\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 330822, 330834, 330848, 330864, 330882?\n\"Answer: k**2 + 9*k + 330812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*x - 10*x. Let m be (-2)\/(-1*(-6)\/(-9)). Let u = m + -5. Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Factor -o - d*o**2 + 5*o**2 - o**2.\nAnswer: o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, -0.1, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 13*d**2 + d + 15. Give a(-11).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 11 + 7*g - 1.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3344678 is divided by 1672255?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -2*u, -5*u - 35 = -15. Suppose -15*z + a*z = 126. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 5, -89 in decreasing order.\nAnswer: 14, 5, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1909.822nm?\nAnswer: 0.000001909822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 171331116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -4*d**3\/3 + 6*d**2 - 8*d - 33. Factor t(r).\nAnswer: -4*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4746168)\/(-591300) + (-4)\/150.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4847 + 4846.7. Which is the smallest value? (a) -0.5 (b) -3 (c) h (d) 8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/45)*r**(-38))\/(r**(-2\/13)*r\/(r**(-2\/7)\/r*r)*r) assuming r is positive.\nAnswer: r**(-164522\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)*g\/(g\/(g*g*g**(1\/2)))*(g**(-1))**21)**(-1\/44) assuming g is positive.\nAnswer: g**(189\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r + 17*r + 26*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -536\/5 in 1, -0.67, -2, -1137?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12057\/2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 3*f**2. Let p be h(-2). Let c(l) = -l**3 + 4*l**2 + 4. Let w be c(p). Let o be 36\/45*5 - 4\/2. Solve -w*r = 4*a, -32 = -3*a + o*r + 3*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233260687 to the nearest integer?\nAnswer: 15273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/2947401 and 20\/96543.\nAnswer: 50105817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -135*g**2 + 64*g + 280. Give d(-5).\nAnswer: -3415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 103*i + 203. What is l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 121\/(-33))*5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-9)*z**(-15)\/z*z*z*z**(-5\/4)\/(((z\/z**(2\/3))\/z)\/z) assuming z is positive.\nAnswer: z**(-259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 3 - (228 + -220)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/6 - 3*n**2 + 3*n + 14810. Let o be 46\/(-10) + (-4)\/10. Determine g(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45322 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*b**2 - 392*b**2 + 56*b**3 - 17*b**3 + b.\nAnswer: 39*b**3 - 217*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(612) + -3) + 3)**2.\nAnswer: -216*sqrt(17) + 2529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:10 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v + 16. Let w be z(4). Solve 0 = 5*j - w*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34768986569 and 1094.\nAnswer: -34768985475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446269987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1687664, 3375333, 5063002, 6750671, 8438340, 10126009?\nAnswer: 11813678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/5 + 151*n\/5 = 0.\nAnswer: -151, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 2. Let l be u(-2). Suppose -l*h = -11*h + 690. Suppose -5*z + 81 + h = 2*f, -3*f = 2*z - 301. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575900 rounded to the nearest ten thousand?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6164600*l**2 + 18*l + 82759 wrt l.\nAnswer: 12329200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2221*-0.5\nAnswer: -1110.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-120))\/((-24)\/(-558))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5925 and 1420200?\nAnswer: 112195800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 93 = x - 4*r, -5*r = 0. What is the remainder when x is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 25 - (83 - (-2 - 15) - -11)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*c = 193 + 2, -38*g - 78 = -33*g - 2*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 294*w**3 + 8*w**2 + 6*w + 12. Let i(b) = 586*b**3 + 18*b**2 + 12*b + 27. What is 9*d(f) - 4*i(f)?\nAnswer: 302*f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(55)\/sqrt(5)*3).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -16) + 8 + -17 - (-2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*j + 2*s, -1 - 11 = 3*s. Suppose 4*z - j = 4*r, 3*z + 5*r = z - 10. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 2*g**2 + 595. Let n(o) = 698*o**2 - o. What is z(n(a))?\nAnswer: 2792*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.32508 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*c = -19, 4*x + 0*c + 24 = 4*c. Let h(k) = -1 + 1 - 73*k - 38*k - 1. Let p be h(x). What is the highest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*w**3 - 12\/7*w**2 + 122\/21*w - 4.\nAnswer: -2*(w - 2)*(w - 1)*(w + 21)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.66 - 7.72. Round n to 1 dp.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -247*t + 12995 + 30374 + 46786. Calculate the highest common divisor of 160 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 1. Suppose m = 4*m - 3. Let r be b(m). Let d(l) = -6*l + 1. Is d(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 2*d - 5*d)*(5*d - 4*d + 2*d) + (-590 + 35*d + 590)*(2*d - 5 + 5) + 4*d**2 - 2*d**2 + 0*d**2.\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-225)\/(-10)*56\/35*-1. Let l(n) = -n**2 - 45*n - 338. Give l(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97470.34um in nanometers?\nAnswer: 97470340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*w - 7 = 0, 0 = -r + 3*w - 3 + 18. Suppose -r*p - 3 = -l, 10*l = 5*l + 4*p + 26. Solve l = 3*t - t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 0*(-1)\/3. Suppose -4*p - 78 = -2*o, -4*p = 3*o - 140 + 53. What is the highest common divisor of c and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/40)\/((-2)\/(-20)). Solve -f - o = 2*t + 2, -8 = -4*f + 4*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-17 - (18 + -21) - (-2 + -2 + -5))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.40001127 + 24.4. What is b rounded to 7 dps?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.4153084665 + -3.4153. What is a rounded to seven decimal places?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 35703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38584001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 6*a + 3. Let v be f(-7). Let l = v + 19. Solve 0 = n + 4*n + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5347, 10695, 16043, 21391, 26739, 32087?\nAnswer: 37435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.108 - 30.074. Sort l, 19, 0 in descending order.\nAnswer: 19, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49178.21 - 49178. Let t = -29\/114 - 3\/38. Which is the closest to 2\/3? (a) -2 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2395 or -7189\/3?\nAnswer: -2395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from jjtjxtjjjjxtjtjx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3572, 5964, 8362, 10766, 13176?\nAnswer: 15592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-644 + 328 + 37*w + 322)*(-5 + 2 + 1 + 0 - 1 + 0 + (-4 + 1 + 1)*(-1 + 1 + 1)).\nAnswer: -185*w - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v - 5*v. Let j be (-62)\/(-8) + 2\/8. Solve -v*b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39904?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 12:12 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2250?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4063 or 4058?\nAnswer: 4058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 2*x**4 + 0*x**4 - 26692*x**2 + 24527*x**2 + (x**3 - x**3 - 2*x**4)*(0 + 4 - 7).\nAnswer: 8*x**4 - x**3 - 2165*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 29a0346 (base 13) to base 7\nAnswer: 220614241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -463534 or -463535?\nAnswer: -463534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 883 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14508)\/(-3224)*(3 + (-100)\/12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, 598, 2198, 4448, 7354, 10922, 15158, 20068?\nAnswer: 25658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*c**2 - 356*c**3 - 27*c**4 + 3*c**4 + 52*c**2 - c + 641*c = 0. Calculate c.\nAnswer: -16, -5\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18898682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33059 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 200 = -13*c. Let j = -3 + c. Find the common denominator of j and 14\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f - 60. Suppose -4 = -d + f. Suppose 196 - d = 5*u. Calculate the highest common divisor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.4, 5, -1, 1\/25, 0.2 in increasing order.\nAnswer: -1, -2\/9, 1\/25, 0.2, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499201188.\nAnswer: 2, 3, 37, 67, 97, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 6260415\nAnswer: 2504166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12*f = -38*f + 1100. Calculate the remainder when f is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + 199. Let p = x + -24. What is the highest common divisor of p and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 4.14.\nAnswer: 3.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-265)\/159*(-96)\/10. Factor -142*f**2 - t*f**4 + 4*f**3 + 120*f + 35*f**4 - 14*f**4 + f**3 + 12*f**2.\nAnswer: 5*f*(f - 4)*(f - 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:32 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 14*i**2 - 184*i - 173. Determine l(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 56\/7722047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.069 + -0.312. Let q = v - -4.243. Put 24, -0.4, q in decreasing order.\nAnswer: 24, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5847, 5781, 5669, 5511, 5307?\nAnswer: 5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793 - -803. What is the biggest value in a, 0.7, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 9. Let y be u(-8). What is the third derivative of b**3 + 2*b**2 + 18*b**5 - y*b**5 - b**3 wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 57 - 11. Let n = m - -54. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7543\nAnswer: -4\/7543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s - 18. Let l(a) = 18*a + 35. Calculate -3*l(n) - 5*v(n).\nAnswer: -4*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 4:25 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9))\/(8\/12). Let z be ((-2)\/(-4))\/(12\/18). Which is the second smallest value? (a) z (b) -2\/21 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*-20*(-44)\/2750.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7)*246\/943*-23.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -326*i**2 + 6511*i - 20720 = 0.\nAnswer: 1295\/326, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 - 4*k - 6. Let r(u) = u + 171*u**2 + 7 - 166*u**2 + 4*u. Determine 6*a(v) + 5*r(v).\nAnswer: v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -519613 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 7*m - 3. Let p be t(3). Let l(v) = 4*v**3 - 2. Let o be l(2). Suppose -y = 2*w - 3*y - 12, 0 = -5*w - y + o. Solve 3*i - p = w*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57538.44 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 1.1. Let f = 74 + -71.3. Let j = k - f. Sort j, 0, 0.4.\nAnswer: j, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(1\/8)*l**(2\/21)*l\/l**(3\/2))**19 assuming l is positive.\nAnswer: l**(-323\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 43 + 139 + 7*m**2 - 4*m**2 in the form p*m**2 + a + w*m and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114)*-2 + sqrt(114) + sqrt(114) + sqrt(114)*-1*-5 + sqrt(114) + sqrt(114))*-2)\/(-1*-1*sqrt(864)*1).\nAnswer: -7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -715 - -718. Let j(c) = 0*c + 1 - 4 + c. Let l be j(p). Solve -g + 4 + l = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-15)*o*o**(1\/6)\/o*(o*o\/o**(-1\/10)*o*o)**(2\/47))**(-8\/5) assuming o is positive.\nAnswer: o**(-97804\/3525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 12*c - 2\/9*c**4 - 8 + 1\/90*c**5 + 5\/3*c**3 - 50\/9*c**2. Factor q(h).\nAnswer: 2*(h - 5)**2*(h - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - d. Let n(v) = -v**2 - 2*v - 1. Let t(w) = 2*w**2 + 5*w + 30. Let m(c) = -3*n(c) - t(c). Let k be m(5). Solve d = -k*o - 4 - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76853716*k**3*u - 2320*k**2*u + 52*k**2 - u - 1 wrt k.\nAnswer: -461122296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67995230929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 6, -3*u + 111 = -0*u + 2*r. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**1*t*t*t*t)*t*t**7)\/((t**(-1\/2)*t)\/t)**47 assuming t is positive.\nAnswer: t**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 - 2*f**3 + 0*f**3 + 2*f**2 + 1715 - 1716 + 71*f to the form z*f**2 + p*f + c + q*f**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13.4948+-77125.325\nAnswer: -77111.8302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*q - 210*q + 24 - 64 = 56 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 359*u**7\/105 + u**6\/60 + 209*u**5\/60 - 5*u**3\/6 - 194*u**2 + 4*u. What is the third derivative of w(y) wrt y?\nAnswer: 17232*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0 (c) -1\/14 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9992934?\nAnswer: 2, 3, 7, 79309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1010426 and 1\/22.\nAnswer: 11114686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1712 - 852. Suppose -4*m = 200 - t. What are the prime factors of m?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)\/y*y*y\/(y*y*y**3))\/(y**(1\/2))**38 assuming y is positive.\nAnswer: y**(-251\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**4 + 328170*m**3 - 328145*m**2 - 1312680*m + 1312660 = 0 for m.\nAnswer: -2, 1, 2, 65633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.132 take away 0.17139?\nAnswer: -7.30339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 5. Let l(u) = -4*u + 10. Let c(x) = 2*l(x) + 5*m(x). Give c(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6708 and 780?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 11 = 6742*d - 6739*d, 8*n - 2 = -4*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 4*d + 1. Let l be m(-4). Let c = -1 + l. Suppose 0 = -v + 6*v. Is v at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 473. Let f(x) = -8*x. Determine n(f(j)).\nAnswer: -128*j**2 - 473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112263 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 5*p + 40, -2*u + 5*u = -3*p - 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100020 (base 3) to base 12.\nAnswer: b650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0*p**3 + 2*p + 0*p**2 + 0 - 1\/3*p**4. Let z(x) = 2*x**2. What is j(z(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 114*p\/5 - 2861568\/5.\nAnswer: (p + 768)*(5*p - 3726)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-470340)\/(-2457))\/134)\/(1\/70).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) + (sqrt(2160) - (sqrt(2160) + sqrt(2160)*1 + sqrt(2160) + sqrt(2160))) - sqrt(60))\/(sqrt(60)\/(sqrt(5) + sqrt(45))))**2.\nAnswer: 13520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(44\/8 + -5). Suppose -16 = -g*p - 3*y, 3*p - 24 = -2*y - 12. Suppose -1 = -k - 4. Put k, -5, -1, p in increasing order.\nAnswer: -5, k, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 22*d - 8. Does 16 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87794, -351244, -790350, -1405112?\nAnswer: -2195530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6306 and 0.106.\nAnswer: 668.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/8430 and -17\/46.\nAnswer: 193890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from jnjjhhd.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -46*d**2 + 5*d + 45*d**2 - 10*d - 4. Calculate w(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5033c (base 13) in base 2?\nAnswer: 100011000000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388850, -777706, -1166562, -1555418?\nAnswer: -1944274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5988*-1.\nAnswer: 5988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 14. Determine x(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (1 - 6) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-10) + (-14)\/(-4). Let h(p) = -8*p + 2. Give h(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 5. Let g(n) = -5*n + 4. Let o(j) = -4*g(j) - 3*h(j). Let t be o(1). Let v = -1.3 + 1.4. Sort t, v, -4 in decreasing order.\nAnswer: t, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529262 + 406738. Round p to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762437?\nAnswer: 3, 311, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.218 or 0?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 45*t**2 + 75*t + 35.\nAnswer: 5*(t + 1)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3575 and 0.\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*t**3 + 3901*a**4 - 4*a**3*t**2 - 2*a**2*t**3 + 550*a*t**3 - 2*a*t**2 + 4*a*t wrt a.\nAnswer: 48*a*t**3 + 93624*a - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-618)\/126)*3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2801000 + 63?\nAnswer: 2801063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, q: 2, x: 1}. Give prob of picking 2 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.82? (a) 3 (b) 1 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 52*g - 693.\nAnswer: (g - 11)*(g + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z - 5. Suppose -4*c + 10 = 2*u - 22, 4*u - 16 = 0. Let t(w) = 14*w - 5. Let i(x) = 7*x - 3. Let l(f) = -7*i(f) + 3*t(f). Give c*k(p) + 5*l(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 + 69*g - 69*g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/34 and -31\/150.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + b = -4 - 5, -g + 4 = -b. Find the second derivative of 16248*v**g + 9 - 16243*v**5 + 4*v**4 + 100 - 2*v wrt v.\nAnswer: 100*v**3 + 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*96\/(-80)*70\/2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/5, 1\/3, -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22110311 + -31?\nAnswer: -22110342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 - 4 = -3*g, -6 = -2*g - v. Suppose 4*n - 8*n = 8. Let d = g - n. Let i(y) = -y**2 + 7*y + 4. Give i(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12271319947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/20*1*25. Let t be ((-6)\/m)\/(42\/224). Is t != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (68\/6 + (-4 - 0))*3. Suppose s*u = 4*u + 393282. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 4*u - 120 = 0. Is 19 a factor of (-4)\/(-10) - u*(-166)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*p - 5*d = -116*p - 55, -2*d - 50 = 10*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 2*k - 27 = -11. Let a(u) be the first derivative of -5*u**4 - 4 - 2\/3*u**6 + 8\/3*u**3 + 16\/5*u**5 + 0*u**k + 0*u. Suppose a(p) = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v**2 - 64*v**2 + 16*v**2 + 17*v**2 + 59. Let x(j) = -j**2. Determine z(x(m)).\nAnswer: -4*m**4 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aphhhqpppqppahpp. Give prob of picking 2 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2257)\/(-11) - (-4)\/(-22).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(2448).\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22176, 44312, 66446, 88578?\n\"Answer: -o**2 + 22139*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*p**2 + 155*p**2 - 1114*p**3 + 146*p**2 + 154*p**2.\nAnswer: -1114*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 10*k + 16. Suppose -3*r - 34 = -4*g + 2*g, -3*g + 41 = -2*r. What is a(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.402 - 1.702. What is the fourth smallest value in s, -54, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -2 (b) 0.3 (c) -10567 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10890.603 times 2?\nAnswer: -21781.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45551\/60120 + 1\/1503. What is the common denominator of -83\/88 and g?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -444820\/3 at least -148272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/(32\/56)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30939 (base 11) in base 12?\nAnswer: 220a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3791 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/158700 and 41\/25423740?\nAnswer: 127118700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 - 43*f**3\/2 - 5*f**2 + 241*f\/2 + 105 = 0.\nAnswer: -21, -2, -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 2, q: 4, c: 2, g: 2}. What is prob of sequence id?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -264*d - 3139. Let w be v(-12). Calculate the highest common factor of w and 3799.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(-150)\/(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/8, 0, -3\/2.\nAnswer: -3\/2, 0, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 82 = -10*r + 41 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203*a**2*r**2 + a**2 + 37*r wrt r.\nAnswer: -406*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = 4*o + 9*v + 2, 0 - 16 = 3*o + 2*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3090377\/42 - -73577. Calculate the common denominator of y and -19\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 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: Convert 1631.061 millilitres to litres.\nAnswer: 1.631061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxaxaaxxxx. What is prob of picking 2 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 67 + 53 = 0. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 6*w**2 + 45*w + 36. What is b(-11)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*m**4 + m**3 + 2*m - 11*m**4 + 2*m**2 + 5*m**2 - 6*m**4 as j*m**3 + p*m**2 + a + n*m**4 + b*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Suppose 13 = -g - 4*n + n, 0 = p*g - n - 11. Let u be 9\/12*(-8)\/(-12). Is u smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*v - 6 = 0, -l = -v - 4 + 2. Suppose 14 = -l*r + r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3151*n + 158121 = 60440 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45499 is divided by 6496?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3\/3 - 19*n**2\/2 - 48*n + 52. Let q(x) be the first derivative of v(x). Calculate q(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(252))**2) + -2*sqrt(252) + (sqrt(567) - (-1 + sqrt(567))) + 2.\nAnswer: -249 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81653648 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2598 - -1.0598. Which is the closest to -2\/5? (a) -8\/13 (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7 = -a, 0 = a - 6*a - 3*z - 35. Let m(c) = -c - 10. Calculate m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 9*a**2 + 12*a - 14. Let x be 11 - (-2 + 4)\/2. Let l be p(x). List the prime factors of 100\/l + 6\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -373\/4, 0.1, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-80) + (-8647342)\/10. Let y = s + 584044. Let o = y + 157690. Round o to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2 - -2) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m**3 - 40*m**4 + 4 - 176*m**2 + 39*m**4 + 171*m**2 in the form d*m + t*m**4 + g + c*m**2 + b*m**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2111 (base 3) to base 15\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, -13, -2, 4, -32 in ascending order.\nAnswer: -32, -13, -2, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from gggppgngggpgpgppg.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -26 (c) -5 (d) 1\/2 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) - sqrt(5)*-2) + -3.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5983480 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 4*a = -o - 62, 0 = 3*o - 3. Let k = 410 - 347. Calculate the highest common divisor of a and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 2)*(21*k**4 - 69*k + 69*k).\nAnswer: 147*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*z**5\/9 - 25322*z**4\/9 + 670304*z**3\/9 - 408104*z**2\/9 - 215488*z\/9 - 21632\/9 = 0. Calculate z.\nAnswer: -2\/11, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, 1, -4\/71?\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.76 rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 11:40 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a51 (base 14) in base 7?\nAnswer: -5631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -9*u**2 + 51634. Let s(z) = 21*z + 7. Let x(c) = -10*c - 3. Let v(j) = 3*s(j) + 7*x(j). What is q(v(k))?\nAnswer: 126*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 84 = 3*c, 4*c - w - 15 = -138. Let s = c + 36. Let k be -2 + s + (-28)\/7. Solve 5*q + n - 6*n = k, 2*q = -5*n - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 534970353*l - 109430688 wrt l?\nAnswer: 534970353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.407298cm to nanometers.\nAnswer: 34072980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 19 + -13 + (3 - -21)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose 5*m = -10, d*r - 2*r = -3*m - 37. Let q = r + 51. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.35 minus -41?\nAnswer: 472.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 20 + 39)*(-4*l + 3*l + 3*l) in the form f + h*l and give h.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -5, 4, 3, -3, -68 in decreasing order.\nAnswer: 33, 4, 3, -3, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 3401?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 226*y - 336. Is f(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = 131*q - 809 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 + 1 = 0. Let j = b + 20. What is the remainder when j is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. Suppose i + 4 = k, 0*k + o*i + 21 = -k. Let a be (2\/(-2))\/2 + 0. What is the closest to k in a, -4, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 116 - 8. Let x = r + 32. Let f(w) = -2*w - 14. Let v(a) = -a - 9. Suppose 136 = -34*d + 17*d. Determine d*v(s) + x*f(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.4323 rounded to 1 dp?\nAnswer: 893.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1221284*j**2*v**2 + 26*j**2*v - j*v**2 - j*v + j - 1059*v**2 + 4305*v + 1 wrt j?\nAnswer: 2442568*v**2 + 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -0.1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -7. Let f = -24 + y. Let l = 25.99999973 + f. Round l to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0305206 rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.95 - 7. Let i = 0.35 - h. Let z be (-16)\/(-6)*1\/4. What is the third biggest value in -2\/3, i, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in 5\/2, -0.1, 2, 0.34?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-45)*5\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -2)*(-5)\/35*21\/6. Sort -2, c, 4, 13 in increasing order.\nAnswer: -2, c, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or -5.57628?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 = -2*b - 2*b, 5*b = -25. Let g be x*((3 - -1 - 3) + -1). Find s, given that -2\/5*s**3 + 0 + g*s + 0*s**2 - 2\/5*s**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.81726 nanometers in kilometers?\nAnswer: 0.00000000007081726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {p: 3, e: 6, l: 2, w: 1, q: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 1)*5838\/(-1251).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -27 (b) 5 (c) 0.418 (d) 1\/74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516 and 558183.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1598 - 46*w**2 - 1596 - 58*w**4 + 28*w**2 - 6*w**3 + 24*w**2 as q*w**4 + v + p*w**3 + k*w**2 + m*w and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1230 - 1221. Solve 0 = -10*w + j - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4071.8 and 19.7.\nAnswer: 4091.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p**2 + 4*p**2)*(-p**3 - 7 + 9*p - 8*p + 4).\nAnswer: -5*p**5 + 5*p**3 - 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (5 - -2) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6183050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 4*d + 3. Let g be z(-2). Let m(o) = -11*o + 633. Let v be m(58). Put 4, g, v in ascending order.\nAnswer: v, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6597 + 6597 + 20*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*y - 2 + 2)*(-16 - y + 4 - 7).\nAnswer: -16*y**2 - 304*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 4. Let s be k(1). Let l(f) = f - 2 + f - 3*f**2 - s + 4*f. Let d(r) = -16*r**2 + 30*r - 26. Let j(p) = 2*d(p) - 11*l(p). Give j(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 19*g**2 + 44*g - 93. What is n(17)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*a - 80366, 68*h - 69*h + 40170 = 5*a. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 447\/2*j**2 + 699\/2*j**4 - 6 - 84*j**5 - 471*j**3 - 12*j = 0.\nAnswer: -1\/8, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -708?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(176)*-6*5*1 + 3)**2.\nAnswer: -3600*sqrt(11) + 3960009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {a: 1, h: 2, q: 1, c: 3, v: 5, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727929753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgfhuhhuuuu. Give prob of picking 1 f and 2 h.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4)*d\/(d\/d**(-7)*d))**(3\/7)*((d*d\/(d*d\/(d\/(d\/d**(-5))))*d)\/(d\/(((d**(1\/5)*d)\/d)\/d)))**12 assuming d is positive.\nAnswer: d**(-2601\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 8*y - 11. Let h be s(-10). Let n = 10 - h. What are the prime factors of 1 + 1 - (-12 - n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -1 + (1113 - 1100) - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -692, -1392, -2098, -2810, -3528, -4252, -4982?\n\"Answer: -3*w**2 - 691*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83890 divided by 43?\nAnswer: 83890\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, 8, -1.08, 0.3, -8, 3, 2\/55?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-202)\/2727*(-9)\/7\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/2 - 63*o**2\/2 + 114*o + 144.\nAnswer: -3*(o - 4)*(o + 1)*(o + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-2*6.\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1)\/k**(4\/7)*(k**(2\/5))**(1\/5))**(-1\/32))**(-1\/9) assuming k is positive.\nAnswer: k**(-43\/25200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10767.0026946 - -10767. Round v to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 7.\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - q + 29 = 0, -i + 9 = -3*q - 4. Let n = i + -5. Let y(o) = -5*o**2 - 5*o - 1. Let m(f) = -9*f**2 - 9*f - 1. What is n*y(l) - 3*m(l)?\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -25*u + 153. Let b be v(6). Solve y - 8 + b = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 3*b + 9, -2*i - 403 + 388 = -5*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 13885 = 14213 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 minus 15.111?\nAnswer: -230.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-58)*14\/(-35)*24*(-43)\/344.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26947\/1218 - 26\/609. Find the common denominator of d and 74\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -4. Solve 3*n - u = -i*u - 21, 0 = -5*n - u - 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -236 - -62257?\nAnswer: 62021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.816 to one decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -6, -10, -16, -24, -34, -46?\n\"Answer: -a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83140? (a) 0.15 (b) 1 (c) 3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -2089*l**4\/24 + 16*l**3\/3 + 26*l**2. Is d(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 6*f + 7. Let q(w) = -4*w - 2. Let b be q(-1). Suppose z + 35 = -z - 5*l, -z = b*l + 15. What is the units digit of g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782)*2)\/(sqrt(242)*-2 + sqrt(2)).\nAnswer: -6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/9 - 5870*r**2\/9 - 122428*r\/9 - 116560\/9 = 0?\nAnswer: -2914, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7519 and 1106.\nAnswer: 1105.2481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 45444.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792 bigger than 7788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0553? (a) -11\/5 (b) 0.2 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 + -201.8. Which is the nearest to f? (a) -1.7 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1 + 1157791*j - 1157790*j - 4. Let p(r) = -2*r + 15. Let q(w) = w - 7. Let h(i) = 4*p(i) + 9*q(i). Determine 4*a(b) - 3*h(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 418.9414 - 419.4. Let u = g - 0.0414. Let k = -27\/4 - -139\/20. Put 2, u, k in decreasing order.\nAnswer: 2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = -2, -132 = -2*k - 4*t. Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136 + 1 - (-25 + 2 + (9 - -27))) + -14.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - 1 - (-25 - (-20 - 23))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168 + 345. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5042*l**3 + 0*l**2 + 4931*l**3 + 0*l**2.\nAnswer: -111*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*((-1)\/30)\/(57\/342). Let z be -4*((-2)\/2)\/2. Let k be 6\/12 + z\/(-4). Solve -p*w + 4*w + 2 = k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276000 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -4*a**6\/3 + 2*a**5 + 3*a**4\/2 - 10*a**3\/3 + a**2 + 13. Suppose m(j) = 0. Calculate j.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -16*z - 16*z + 30*z. Let q(r) = -16*r**2. Calculate q(b(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:02 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 14. Let k(v) = 2*v**2 + 2*v - 4. Let d be k(b). Let x = d - 13. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/5 in -3, 777, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 5*a - 10, 3*k + 19 = -5*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 smaller than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 441657372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3012 + -5?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9259*l**3 + 4 - 4*l**2 + 8*l**4 + 9259*l**3 - 4*l wrt l?\nAnswer: 96*l**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367850071?\nAnswer: 367850071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose -40 = 5*i - 5*y, 5 = -i + h*y - 7. Sort 5, i, 1 in increasing order.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -5) + (9 - 16)\/7. Put -1, 2, 9, t in increasing order.\nAnswer: -1, 2, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/10 - 2\/(-5). Let r(k) = k**3 - k**2 - 3*k + 1. Let v be r(2). Is h bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 3*a**5\/20 + a**4\/3 + 7*a**3\/6 - 18*a**2. What is the hundreds digit of b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858289 times 4.9?\nAnswer: 4205616.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537 - 111 + 150 = -72*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**2\/13 - 40*a\/13 + 14\/13.\nAnswer: -2*(a + 7)*(3*a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 28*r**2 + 129*r + 18. Let z be g(-22). Let k = 186 + -41. Let c = k - z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -736 + 736.1. Which is smaller: q or -442\/5?\nAnswer: -442\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -42\/2507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -229448, -229446, -229442, -229436, -229428?\n\"Answer: m**2 - m - 229448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -384 + 642. Suppose 5*x + g - 330 = 0, 0*g - 2*g = 4*x - d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 2)*(-10)\/175 + -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 144 = -4*g, -3*l - 4*g + 3*g = -202. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(44) + sqrt(11))) + 0 + sqrt(88)\/(sqrt(8) + sqrt(8) + (sqrt(32)\/sqrt(4) - sqrt(8)) - sqrt(8)) + sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*r + 464 = -621. Calculate the remainder when 4\/6 + (-73)\/(-3) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -228*c + 1845. Give r(9).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 3, m: 1, d: 1, a: 1}. Give prob of sequence maw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 447441 or 447456?\nAnswer: 447456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034709088 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.0266\nAnswer: 2.0266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 583 + -365. Suppose 0*g = -2*g + p. Suppose -5*r + 121 = -2*m, -2*m + g = 5*r - 0*m. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w. Suppose w*n - 12 = -3*n. Solve 4\/5*a**3 - 2\/5 + 0*a**2 + 2\/5*a**n - 4\/5*a = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64416*t - 105844?\nAnswer: -64416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5255500 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(20) + sqrt(240)\/(sqrt(12) - sqrt(108))))\/(sqrt(36)\/(sqrt(36)\/sqrt(4)) + sqrt(16)\/sqrt(4)*2).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2\/25, 4, -0.2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/4 + 1 + 25. Is 2 a factor of (6\/18)\/(2\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/((x**24\/x*x)\/x))\/x)*x*x*x*x)\/(x*x**42) assuming x is positive.\nAnswer: x**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80390093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/14, -12, -68, -5\/2, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 15*p**2 + 0*p - 4\/15*p**5 + 1\/30*p**6 + 0 + 0*p**3 + 1\/2*p**4. What is h in v(h) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 100\nAnswer: 7\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1553*w - 35*w**3 + w**2 + 70*w**3 - 41*w**3.\nAnswer: -6*w**3 + w**2 + 1553*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 + (-108)\/(-14). Let d = -4758 - -4770. Solve 5*w - n*w = d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 70. Which is the smallest value? (a) y (b) -1 (c) -0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-27)*(25\/(-50) + -13).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:56 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(110)\/sqrt(2))\/sqrt(11) - (4*2*sqrt(5) - sqrt(5)) - (5*(sqrt(720) + 0))**2.\nAnswer: -18000 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 10:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1760, -4 in descending order.\nAnswer: 1760, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -822\/205 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 2. Suppose -36 - 34 = -5*p. Let k = -7 + p. Let s(h) = -h - 2. Let f(m) = k*s(m) - 6*c(m). Differentiate f(q) with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39947764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 + 4\/10. Let c be 9\/(-270)*(-20)\/(-5). Are l and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3 - 3)*(-4 - 2 - 9).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31033 plus -1356?\nAnswer: -1355.68967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 20 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 - ((-27 - -76 - 74) + -10)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/34304732 and 133\/29404056.\nAnswer: 205828392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 256\/3. Let g be (-2)\/(-8) - (-13)\/7. Let p = 13\/7 - g. Which is the nearest to p? (a) k (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -538969.6 + 538971.95349864. Let t = -2.3565 + h. Let n = -0.003 - t. Round n to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1401 (b) -11 (c) -0.2 (d) 2 (e) 0.4 (f) 0.003\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 5*h**3\/3 + 5*h**2 + 25*h. What is the derivative of i(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 946 and 8?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4660069 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + -4.93. Let z = 25 - 23.7. Let r = -1.3 + z. Which is the biggest value? (a) 19 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Let k be (-1 + 3)*(d - 3). List the prime factors of k - (-6)\/(-2) - -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -732, -1472, -2214, -2958, -3704, -4452?\nAnswer: -5202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/33? (a) -1 (b) -7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472965 divided by 6.\nAnswer: 157655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21810612 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ca + -ec?\nAnswer: -4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*p**3 - 17*p**3 + 80*p**3 + (-2*p - 4*p + 2*p)*(-2*p**2 - p**2 + p**2).\nAnswer: 145*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10082*u = -10170*u - 3080 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:34 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(288) - -1*sqrt(288)*5 - sqrt(288)) + 3 + (-1 + sqrt(288) + sqrt(288) + -4)**2.\nAnswer: -180*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-924))\/((-1)\/6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -1.756, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310237a (base 12) in base 14?\nAnswer: 131a99c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -960 - -438. Let z = -477 - n. Solve 13*p - z = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 27 = 4*h - 9, -5*h + 2*n = -48. Let p(g) = 3*g - 10. Calculate the remainder when p(h) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/27 or -1?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37\/2 of a millennium?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*u + 5*k + 1, 0 = -4*u + 2*k. Let x(l) = l**2 + 4*l - 18. Let t be x(-7). What is the highest common divisor of t and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 165. Let s = -166 - o. Let c = s - -69. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (7 - (-37 - -52)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129 + 234. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 15. Let g be u(-3). Suppose -5 - 118 = a. Let i be a\/(-6) - g\/(-12). Calculate the greatest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.638 + 7.7. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 152 = 148. Find the common denominator of r\/(-6)*((-1326)\/4)\/13 and 51\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 225221 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + s = -28, -2*s - 88 = 3*j + 2*s. Let r = j - -25. Solve -k + r = 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/579789 and -64\/248481.\nAnswer: 1739367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 + -369. Let c = -106 - j. Let g be (-22)\/(-4) - 2*4\/c. Solve -2*v - g*d = -28, 2*d + 8 = -2*v + 6*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**3 + 2*z + 8*z**3 + 2*z + 2 + 8*z**3 - 5*z**2. Let m be q(4). Let h = m + 4. Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 2, y: 1, n: 1, z: 1, c: 1}. Give prob of sequence ny.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 3*x = 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/36 (b) 62.9 (c) -2 (d) -4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 + 25*f + 1 - 31*f - 4 to the form k*f**2 + b*f**3 + n + x*f and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyywwyy?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6250633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(56))\/sqrt(2) + (sqrt(700)*2)**2.\nAnswer: 3*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3498.929 hours to seconds.\nAnswer: 12596144.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 389 - 298. Suppose 93*f - b*f - 354 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-112))\/((-3)\/(-42)*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -68*j + 72*j - 34, -4*j + 5*f + 54 = 0. Let h(p) = -2*p - 4. Give h(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, o: 2}. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697729 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45369, 6, -5, -2, 35, 5 in decreasing order.\nAnswer: 45369, 35, 6, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 19. Let j(y) = -y**2 + 4*y + 1. Let l(o) = -3*o**2 + 11*o + 3. Let x(z) = p*l(z) - 11*j(z). Factor x(u).\nAnswer: -(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 33, -2\/19, -0.1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 315, 469, 623, 777, 931?\n\"Answer: 154*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 523105, 523103, 523101?\n\"Answer: -2*b + 523107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77299176?\nAnswer: 2, 3, 3220799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -406, -410, -414?\n\"Answer: -4*t - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjrr when four letters picked without replacement from jjrjjrjjrjjjjjj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**9\/252 - 8*x**7\/105 + x**5\/60 + x**4\/3 - x**2 - 20*x. Find the third derivative of s(t) wrt t.\nAnswer: -240*t**3 - 384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 5*y = 7*z - 101 + 37, -3*y = -4*z + 76 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**7\/231 + p**6\/165 - p**5\/22 - p**4\/66 + 8*p**3\/33 - 4*p**2\/11 + 59*p. Suppose d(j) = 0. What is j?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -21, -47, -83, -129?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3110 or -1375?\nAnswer: -3110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 12*c**2 - 2*c - 12. Suppose 6*r = 2*r - 4, 5*i + 58 = 2*r. Let h = -17 + 40. Calculate the remainder when h is divided by n(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -333 (b) -0.3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13889 and 129?\nAnswer: 1791681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 5. Let f(g) = -2*g + 13 - 5 + 6*g + 8. Determine 5*f(y) - 16*i(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + (-27 - -96) + (-8 + 16 - 8)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 6*d + 2*d)*(-3 + 2 - 1)*(-d + 1 - 1 - d**2).\nAnswer: -4*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 9*i + 36. Suppose i*y - 8*y - 5 = 0. Solve -y*n = -4*w - 28, 2*n = 7*n - w - 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2953*j - 2951*j + 3*n - 8, 0 = -21*j + n - 111 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 + 138*m**4 + 92*m**2?\nAnswer: -360*m**3 + 3312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*d = -198, 2*d = -3*w - 83 + 201. Calculate the remainder when 148 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6074, 29840, 69450, 124904, 196202, 283344?\n\"Answer: 7922*s**2 - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-3 + 5 - sqrt(208) - -2*sqrt(208)*2)*5)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/50 + 9 + -7 - (-168)\/(-345)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 1115 (c) 3 (d) -4 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4\/7 - 307884*h**3\/7 + 1231575*h**2\/7 - 923688*h\/7 = 0.\nAnswer: -102632, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 499\/2 - 246. Let y = 4 - b. Factor -3\/4*s**3 + 0 - y*s + 5\/4*s**2.\nAnswer: -s*(s - 1)*(3*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 + 1572*j**3 - 11673*j**2 - 364608*j - 1170288 = 0.\nAnswer: -9, -4, 21, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f - 104. Let c be x(-9). Solve -2*u = -c*u + 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7500127 - -1.1?\nAnswer: -7500125.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -16608353?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 0*k - 18 = 0. What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 204024*f**2 + 43185672*f + 2287649600 = 0. Calculate f.\nAnswer: -101800, -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -716, -650, -582, -512?\n\"Answer: b**2 + 63*b - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-436)\/(-8) + (-2)\/(-4). Suppose w = -v - v + t, 2*v - 3*w - 75 = 0. What is the highest common factor of 60 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 5*o**4 + 4*o + (-2*o**2 + 2*o**2 + 2*o**2)*(3 - 2*o**2 - 3) - 2*o**4 - 3*o**4 + 6*o**4 + o**4 + 2 - 2.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 18*l**2 - 18*l + 21. Let n be z(17). Suppose n*a = -m - 301 - 451, -4*m + 171 = -a. Let d = a + 285. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.938 to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 556 + -551. What is the least common multiple of 125 and y?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*d**3*w**3*x**2 - 24*d**3*w**2 - 519*d**2*x**2 + 5242*d*w**3*x**2 wrt w?\nAnswer: -738*d**3*x**2 + 31452*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45987818*h**2 + 3011709*h.\nAnswer: -91975636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -65 - 0.0074\nAnswer: -65.0074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152898707.56 + 152898635.55999971. Let q = -72 - t. What is q rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*h = -y + 15, 2*y = -4*h - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 164058 - 7359?\nAnswer: 156699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0838279 micrometers to nanometers.\nAnswer: 83.8279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1055)\/(-1266)*4\/(-25)*1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29380\/7345*(-1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 771 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o + 1. Let j be a(1). Suppose 7*q - j = 3*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7008*w**4 + 557*w**2 - 3*w - 1 wrt w?\nAnswer: -168192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3195 - 3190. Solve g - 9 = 3*u - 1, -r*g = -3*u - 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7928407*o**3 + 22884820*o?\nAnswer: 47570442*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3637 - 58*n + 3637 as d + o*n and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 - 3204032*t\/7 - 641613816064\/7.\nAnswer: -4*(t + 400504)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose 2*l + u*l = 62. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.39 - 1.89. Put s, -1, -1\/6, 1\/9 in decreasing order.\nAnswer: 1\/9, -1\/6, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 - 33*w**4 + w**2 - 68*w.\nAnswer: 120*w**2 - 792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed5 - 40?\nAnswer: -f15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.095575 * -5489\nAnswer: 524.611175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -346b - -3b5?\nAnswer: -30b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2 + 18*f + 19. Determine x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -140210 divided by 14\nAnswer: -10015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = -4*n, -5*l - 4*n + 17 = -2*n. Suppose -3*y + l*j - 99 = 0, -15*j = -4*y - 17*j - 114. Which is the nearest to -0.1? (a) y (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48079289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2856 and -30\/5823979.\nAnswer: 139775496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(18)\/sqrt(6) + (sqrt(192)*-4)**2.\nAnswer: sqrt(3) + 3069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let p(f) = -f**3 + 9*f**2 - 7*f - 6. Calculate the smallest common multiple of h and p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1153695877 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.241 + -501.759. Which is the third biggest value? (a) 0.3 (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51453522 and 8575587.\nAnswer: 51453522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:20 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 59. Let n = -0.038 - -2.138. Let s = n + x. Which is the third biggest value? (a) -0.3 (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -0.063, 139 in ascending order.\nAnswer: -0.063, 0, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from uumuoumoeueem.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(110) - (5*1*sqrt(110) - sqrt(110)))\/((sqrt(10) + sqrt(40)\/sqrt(4))*3*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*t = 61. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 24 = -10*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/(-4))\/21)\/3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 - 25577*j + 13488*j + 12089*j.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 4*m**6 - 19*m**3 + 72. Find the third derivative of i(b) wrt b.\nAnswer: 1440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8340 is divided by 44?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64418 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1324 + -1086 - (107 - -21).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Suppose s = -5*w + z - 3, 5*w + 3*z - 1 - 8 = 0. Factor w*m**4 + 2\/9*m + 0*m**2 + 0 + 2\/9*m**5 - 4\/9*m**3.\nAnswer: 2*m*(m - 1)**2*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 953125 and 3050?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*w**5\/3 + 420*w**4 - 2512*w**3\/3 + 2156*w**2\/3 - 272*w + 112\/3 = 0. Calculate w.\nAnswer: 2\/5, 1, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 900.0984 grams in tonnes?\nAnswer: 0.0009000984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 - 5*y**2 + 5. Suppose -5*g + 20 - 5 = 0. What are the prime factors of k(g)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7677.\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d90b - -18?\nAnswer: d923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75592546 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 33400000 to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {v: 1, n: 2, k: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - 2*sqrt(108))\/sqrt(12) + sqrt(729)*1)\/(sqrt(21)\/(-4*sqrt(7)) + sqrt(3) - ((sqrt(3) + sqrt(3)*-4)*-6 - sqrt(3))).\nAnswer: -32*sqrt(3)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a hour in seconds?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5443 and 8508177?\nAnswer: 8513620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32459327 is divided by 4651?\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48019787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 15 and 37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 520*n*p**5 + 50553*n*p - 401*p**5 + 2*p - 1 wrt p?\nAnswer: 10400*n*p**3 - 8020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 4, b: 6, c: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, 7613, -5, -4, 3, -2 in ascending order.\nAnswer: -8, -5, -4, -2, 3, 7, 7613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 1022\/11. Let g = 147960\/7 + -21137. What is the fourth biggest value in y, -7, g, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 12 = -4*j. Let w be 3\/9 - (-26)\/j. Let u = 15 - w. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13171851 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, r: 1, p: 1}. Give prob of sequence qpr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*q - 4, 5*q + 5 = -2*g - 0. Let s be ((-20)\/7)\/(q - 5\/(-7)). Solve f = 4*w - 15, -s = -4*f - 3*w + 5*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 + 884*g**2 - 119*g + 51921. Give c(-295).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 25 = 0, -5*j - 3*c + 2410 - 10 = 0. Let u = j + -334. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c + 30. Let u be (-5)\/(-25) - 38\/c. Suppose 8*i - 84 = u*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s - 7*s - 2*s - 7*s**2 - 8*s - 33*s.\nAnswer: -7*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 79. Let y = 641 + -1279\/2. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from wmmwwmmwmmwmmwmdwww?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63968 + -26298. Suppose 110920 = 5*t - x. Let l = t - -60282. Round l to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + y = -1, m - 2*y - 1 = 0. Let v(a) = 2*a**3 + 2*a**3 + m - 5*a**3. Let k = 1887 - 1887. Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/77)*r*r**(-7))**(-28) assuming r is positive.\nAnswer: r**(1532\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57188 (base 9) to base 12.\nAnswer: 1a045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 1, z: 7}. Give prob of picking 1 z and 1 g.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -147589344 divided by 6624\nAnswer: -22281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 15344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {q: 6, z: 1, u: 8, x: 3, p: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 30. Let u be i(-5). Calculate the greatest common divisor of 200 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1683 and 18883.\nAnswer: -31780089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/(-128))\/(((-90)\/6)\/(-5))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5008 + 8299. What are the prime factors of y?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-18) - (-109)\/(-218). Which is the biggest value? (a) 3\/8 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 18 = 2*w, -12 + 1 = -5*w - 4*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 + 210736*c\/3 + 913133.\nAnswer: (c + 13)*(c + 210723)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921775 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 457242385 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(70) - sqrt(70))*-3)\/((-2*sqrt(90))\/sqrt(9)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {x: 2, c: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 0*i - 2*i + 8*i to f + q*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1986442, 1986451, 1986460, 1986469, 1986478?\n\"Answer: 9*j + 1986433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:21 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1230, 1831, 2432?\n\"Answer: 601*g + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1547*w - 1551*w - 82 = 2*c, -4*w = -5*c + 61 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -45*h + 2332. Let i be l(50). Solve -4*w = 4, 5*s + 86*w + 34 = i*w for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20621450 (base 7) to base 2\nAnswer: -110101100000011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -557466557\nAnswer: 557466556.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 - 3. Let u be 2\/(-4)*((-95)\/(-15) + -3). Which is the nearest to -3\/7? (a) u (b) q (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**4 + k**3 + 1. Let m(a) = 7*a**5 + 6*a**4 + 6*a**3 + 21*a + 6. Let z(n) = -m(n) + 6*s(n). Find the second derivative of z(p) wrt p.\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6792069.\nAnswer: 3, 31, 199, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/45 + 1\/3. Let i = -3\/16 + 25\/48. Which is the nearest to i? (a) -4\/7 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20501, -1, 121 in descending order.\nAnswer: 121, -1, -20501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*g - 667*g - 141*g - 1028 = 836 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -291 - -163. Let b = i - -204. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10012506 (base 8) to base 9\nAnswer: 3854200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -135777412*p**2. Let z(d) = -d**2. What is z(y(c))?\nAnswer: -18435505609417744*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -0.16 (c) 3\/40 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -328, 18098, 1 in decreasing order.\nAnswer: 18098, 1, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 5107\/23. Let l = -8865.2 + 8116. Let o = l - -749. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 53, 119, 211?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/((-795)\/99 + 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.8 + -48. What is the nearest to 2\/5 in 0.4, -1\/3, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27647?\nAnswer: 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1862 + -1104. Suppose -a = -2*x - 5*z, 2*x - 7*x + 4*z + 1862 = 0. Is 40 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 4*u. Let q be 4*2\/16*-2. Let r(h) = -h. Let a(j) = -4*j. What is q*a(i) + u*r(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 5*i + 6. Let p be z(5). Suppose 0 = -r - 0*r + p. Suppose 20 = 10*m - r*m. Solve m*o + 35 = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11722, 11838, 11952, 12064, 12174?\nAnswer: 12282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1552*g - 377. Is n(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/45 - (-8)\/5. Let l be ((-40)\/16)\/(y\/44228). Let a = -29285 - l. Round a to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(6\/(-28)))\/(56\/420*255)?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9348032*q**3 + 16*q**2 - q - 1859.\nAnswer: -56088192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j - 61 + 88 + j**4 + 8*j - 9*j as i*j**3 + d*j**2 + n + b*j**4 + p*j and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 173\/3549056?\nAnswer: 173\/3549056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2d (base 16) to base 2\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408a1a (base 14) in base 12?\nAnswer: -3300228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*f**2 - 344*f**2 + 11*f**2 to the form k*f + l*f**2 + v and give l.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.202 (b) -188\/71 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2307*g + 28 = -2314*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3\/2 (c) 1\/13 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8273160 divided by 245?\nAnswer: -33768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r = -50. Suppose -3*t - r = -2*g, 2*g = t - 0*t + 10. Find the second derivative of t*p**3 + 3*p**2 + 4*p - 3*p**2 - 2*p**3 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*s + s - 128 = 0, -2*k - 2*s + 64 = 0. Suppose -k = -j + 85. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-488)*8\/(-15)*3*(-185)\/8?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -22*i**3 - 17*i**2 - 511*i - 1142. Give m(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b + 1 - 1)*(12 + 3*b**2 - 12) - b - b**3 + b + (-3*b**2 - 2*b**2 + 7*b**2)*(-b - 3*b + 3*b))*((-2 - 1 + 1)*(2*b + 2 - 2) - b + 4*b + 0*b).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:16 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-112))\/((-7)\/28). What is the fourth biggest value in -1\/23, -2\/7, 1\/5, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -7. Let p = 566\/9 + -1159\/18. What is the biggest value in -0.03, v, p, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 2*p - 1, 5*u - 120*p + 105*p = -70 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -15 - (-17 + 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76694 is divided by 225.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.05 + 18.2. Let d = s - -1.35. Which is the nearest to 0? (a) -0.1 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.076 + -1.076. What is the closest to -2 in h, 0.5, 1\/6, 0.11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 33 = 4*n, -3*n + 6 = 3*u - 12. Suppose 1196*h = 1236*h - 1480. What is the smallest common multiple of h and n?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (6 - (-3 - -6)). Suppose -5*a + w + 23 = 3, j = 5*a - 4*w - 5. Suppose a*y - 16 = -2*b, -2*b = 2*y + 3*b - 19. What are 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 894 is divided by 257.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9455\/28 - 339. What is the common denominator of f and 6\/(-24)*((-106)\/(-4) + 0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:45 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-1)\/((-4)\/(-4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, 19, 155, 429, 889, 1583?\n\"Answer: 8*u**3 - 3*u**2 - u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606710 divided by 152?\nAnswer: 1303355\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 306152866 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*v**4 + v**4 - 442*v + 5*v**3 + 165*v**3 wrt v?\nAnswer: 12*v**2 + 1020*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 13*u + 12. Let i(a) = -37*a - 35. Let t(c) = -17*h(c) - 6*i(c). Let m be t(10). What is the greatest common factor of 40 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 150*d**3 - 2*d**2 + 4*d**2 - 3*d - 2*d**2 - 149*d**3 + 486. What is the tens digit of g(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -20. Let z be t - -10 - (-5298 + (-2)\/2). Round z to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -11. Let l = t + -4. Solve l = -2*h - 5 - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*y - 12 - 3 + 16*y)*(-5*y**2 - 4*y**2 + 2*y**2) + 3*y**3 + y**3 - 6*y**3 + (-5*y**2 + 2*y**2 + y**2)*(-y - 3*y + 2*y).\nAnswer: 16*y**3 + 105*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1881579 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 11 - 2*h)*(-8088*h**2 + 8087*h**2 + 63*h - 270*h) in the form n + d*h**3 + k*h + x*h**2 and give k.\nAnswer: -1863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1670 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54467634 divided by 39.\nAnswer: -1396606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/378*3*26*(-72)\/(-2496)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 21*g**2 + 36*g - 83. What is v(-18)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 2, j: 3, u: 1}. What is prob of picking 1 h, 1 j, and 1 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(sqrt(147) + (sqrt(147) - 1*sqrt(147))) + ((sqrt(147) + 1 + sqrt(147))*6 - (3*(sqrt(147) - (0 + sqrt(147))) + sqrt(147))))**2.\nAnswer: 756*sqrt(3) + 11943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/7 - 848*r\/7 + 42240\/7.\nAnswer: 4*(r - 132)*(r - 80)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - y - 21. Let j be s(-7). What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + -31323002?\nAnswer: -31322220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1850 and 4697150.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378751 and 2479.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 2. Let a(n) = -n**3 - 7*n**2 - 7*n - 8. Let u be a(-6). Let q be i(u). Determine p, given that 0*p + 0*p**3 - p**3 + p + q*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20512 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247867, -495725, -743579, -991429, -1239275, -1487117, -1734955?\nAnswer: -1982789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.818057 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine sixths of a day?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18561 - 0.39444. Let d = u + 0.208. Round d to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -153936 and -153933 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q - 46. Let m be n(9). Suppose o = 2404 - m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 673*c**3 - 6*c**2 - 12*c - 98. Let f(m) = 671*m**3 - 8*m**2 - 14*m - 102. Let l(s) = -4*f(s) + 5*v(s). Find the third derivative of l(i) wrt i.\nAnswer: 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5}. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7868*j - 2249*j**2 + 4461*j**2 - 2214*j**2)*(2*j**3 + j**3 - 6*j**3).\nAnswer: 6*j**5 + 23604*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 156960499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*r - 52. Suppose -309 = -3*h + 2*t - 0*t, 3*t = 4*h - 411. Calculate the remainder when h is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1602 - 1601.92936. Let h = 0.15715 - q. Let a = h + -0.087. Round a to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d - 86*d = -16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.41 take away -45892.88033268?\nAnswer: 45894.29033268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46769.\nAnswer: 46769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1174 and 49576259.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334055781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-20) - (-1 - 84\/30). Solve -s*c + 1 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284*v**3 + 51*v**2 wrt v?\nAnswer: -1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -1. Suppose -2*f - 4*g + 24 = 0, d*f - 2 + 14 = 5*g. Suppose 687*n + 2743 - 10300 = 0. Calculate the least common multiple of f and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.7815 + 167197.2.\nAnswer: 167206.9815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-6)\/40)\/((-87)\/232)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 less than or equal to -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -3923.\nAnswer: 196.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 41826120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 3*r**3 - 2*r**2 + (-2*r - r + r)*(-2*r**2 + 2*r**2 - 3*r**2).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132049*n**3*z**6 + 6*n**3*z**3 + 12153*n**3*z - 2*n*z**2 + 2*z**2 wrt z?\nAnswer: 15845880*n**3*z**3 + 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 4*h + 1. Determine v(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 2)*(-2 - 1 + 2)*(-51*u + 56*u + 4 - 3) to the form t*u + m and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2540 = -10*s + 14*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6802 times 1531\nAnswer: -1041.3862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-1 - sqrt(18))\/sqrt(6).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from {z: 1, h: 2, f: 1, n: 2, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -6\/37 (c) 0.2 (d) 41 (e) -9 (f) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:21 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + -2 + (-22 - -2 - (27 - 33))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 - 3 + 3 + (5 - 1 - 5)*(2 + 2*m - 3 - 6)*(-33004 + 33004 + 122*m) in the form k*m + p + n*m**2 and give n.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, 361, 1777, 4679, 9565, 16933, 27281, 41107?\nAnswer: 58909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 + 137. Let y = -46 - v. Let d be -1*1\/y*0 + 2690. What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*z + 18 = 0, -2*w = -4274338*z + 4274348*z - 72 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-6)\/(-27)) + (-438)\/(-27). Suppose 0 = -j*c + 15*c + 97. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6*u - 5. Let h(q) = q**2 + 7*q - 6. Let j(o) = -5*h(o) + 6*i(o). Find the second derivative of j(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5331 + -5333.7. Which is the second smallest value? (a) 1\/12 (b) -0.03 (c) -5\/2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-501)\/1002)\/((-5)\/(-10)))\/(1 - (-21)\/(-10))\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1011, 0.3 in descending order.\nAnswer: 5, 0.3, -1011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -81200 rounded to the nearest 1000?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15575.345 to the nearest ten.\nAnswer: 15580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**4 + r**4 - 3*r**4)*(-1 - 3 + 6)*(-1270 - 3657 + 1496).\nAnswer: -13724*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64767054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)*2\/(-4). Suppose z = 4*d - 28 - 16. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u + 2*u)*(0 - 5 - 2)*(-4*u + 3*u + 3*u).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16647, -66395, -149223, -265125, -414095, -596127?\n\"Answer: q**3 - 16546*q**2 - 117*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16368 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**4*n**2 - 13*j**3*n**3 + 3*j**3*n**2 + 16*j**2*n**3 - 405*j**2*n**2 wrt j.\nAnswer: 120*j*n**2 - 78*n**3 + 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75)*-1 + (sqrt(75) + 0)*-1)**2 + 4 + (sqrt(75) - ((sqrt(75) - -1*(sqrt(75) - (sqrt(75) - sqrt(75)*2))) + sqrt(75))**2).\nAnswer: -895 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19209, -0.3, 0.01.\nAnswer: -0.3, -1\/19209, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 = -9. Solve i = -4*u - 4 + 14, 4*i = l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762557.\nAnswer: 3, 587519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23118)\/(-9) + 1 + 2\/6. Suppose -26*g = -31*g + z. Suppose -513*r + 0 - r**2 + 0 + g*r = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15)\/(6\/(-40)*-8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**3 - 5*n. Let u(d) be the first derivative of 0*d**3 - 2*d**2 + 60 + 0*d - 9\/4*d**4. Determine -4*g(k) + 5*u(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20623, -23011, -25399, -27787, -30175, -32563?\nAnswer: -34951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*t**2\/5 - 336*t\/5 - 98\/5 = 0. What is t?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258124*t**6 - 2*t**2 + 2*t - 2098 wrt t?\nAnswer: -30974880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 = 2, 2*k = 4*s + 8. Let p(t) = t**2 + 31*t - 53. What is the remainder when p(2) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Let m = 2 - x. Put -0.1, 0.4, m in descending order.\nAnswer: m, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2*z**5 - d**2 + 259*d*z**5 + d*z**2 - 681*z wrt z.\nAnswer: 180*d**2*z**2 + 15540*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 less than or equal to -45681\/415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-99)\/2)\/(4\/8). Let i = 102 + g. Solve i*w + 2 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 6. Calculate the remainder when 13 is divided by 21*w\/(-7 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 + 0 + 6)) + (67 + -108 - 16)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 525019429 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5524865.\nAnswer: 5, 71, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-65 - 4*y + 66 - 2*y).\nAnswer: 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 6, p: 7, z: 1, q: 3}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31620811*g**4 + 178*g**2 + 10724*g wrt g.\nAnswer: 758899464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -27. Let t(h) be the first derivative of 3*h**2 + 1\/2*h**4 + 5 + u*h**3 + 2*h. Factor t(g).\nAnswer: 2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:45 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 - 1256*h - 2499. Determine v(-312).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 851, 531, -3, -751?\n\"Answer: -107*l**2 + l + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12799.\nAnswer: 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = r - 33 + 28, 0 = 5*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/3 + 1*11. Suppose k = 2*h - 5*c, -4*h - c - 3*c + 4 = 0. Suppose 28 + 0 = h*b. Calculate the lowest common multiple of 12 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1320*m + 2. Let b be y(-1). Suppose 0 = 2*n + b - 476. Let z = n - 1057. What is z rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(252) + 1 + -1 + (sqrt(42) + sqrt(672)*6)\/(sqrt(12)\/(sqrt(2)*1)) + 0)**2.\nAnswer: 372*sqrt(7) + 6763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(108))*-6*2)\/((sqrt(18)*-1)\/sqrt(3) - sqrt(6)*1*2).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 12\/7, -1, -0.05 in descending order.\nAnswer: 4, 12\/7, -0.05, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13238768 and 1654846.\nAnswer: 13238768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**2. Let t(n) be the third derivative of 5*n**4\/8 - 3*n**2 - 140. Calculate t(m(z)).\nAnswer: 165*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5da0c4 (base 16) to base 14\nAnswer: b5a220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 435?\nAnswer: -21.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 84, 121, 158, 195, 232?\n\"Answer: 37*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 279*l**2. Let v(j) = 3*j + 159. Give b(v(r)).\nAnswer: 2511*r**2 + 266166*r + 7053399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3539386 + -77.\nAnswer: 3539309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521490580.\nAnswer: 2, 5, 47, 1049, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/2)\/((-48)\/(-42))*568\/(-426)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - f + 1 - 4, -6 = 2*o - 4*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-10)\/8) + 1 + -3. Let b(v) be the first derivative of a + 0*v**2 + 0*v + 2\/3*v**3 + 1\/2*v**4. Determine x, given that b(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b\/b**0*b)\/((b*b**(-1\/3)*b*b*b)\/(b**(-1\/6)\/b))*b*b*b\/b**(-3)*(b**0*b)\/b*b**(2\/5)\/(b\/(b**(5\/4)\/b)) assuming b is positive.\nAnswer: b**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 1. Suppose 0 = t + 4*t + 195. Let w(k) = -7*k - 7. Let x(i) = t*p(i) - 6*w(i). What is the first derivative of x(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 28168?\nAnswer: -39\/28168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921765745?\nAnswer: 5, 184353149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 845, 5 in descending order.\nAnswer: 845, 5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -208693428933 minus 68?\nAnswer: -208693429001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 4 + 0 - 5)*(-1 + 5 - 5)*(-1 - 3 - 1)*(-5*y + 2*y + y) as m + v*y + z*y**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaaaai. Give prob of sequence iaai.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3 - 4. Let d(y) be the first derivative of -y**2 - 1. What is i(d(l))?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-14) + -5 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4227*v - 4019*v - 1456 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 40*k**2\/7 + 12266796*k\/7 - 175240 = 0?\nAnswer: -306670, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 737550 divided by 2682\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 1. Let s(j) be the second derivative of -5*j**4\/12 + j**2 + 3*j. Let m(f) = 6*i(f) + s(f). Let b = 11 + -8. Determine m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 5. Suppose 0 = -3*a + 5*a - g. Find the third derivative of 0*p**a + 0*p**4 + 4*p**2 - 4*p**5 - p**2 wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 21116*w**2 - 28703356*w + 2188555524.\nAnswer: -4*(w - 2599)**2*(w - 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let v be (-10)\/(3\/(-3)*f). Sort 1, v, 0 in decreasing order.\nAnswer: 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3715*a**4*f - 241*a**4 - 2*a**2*f + 5027636*a*f - 3*a wrt a?\nAnswer: 44580*a**2*f - 2892*a**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbzg when four letters picked without replacement from {z: 1, m: 5, g: 5, b: 7}.\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 255615 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4681 + 4681 - 46*w)*(32 + 27 + 31*w - 59).\nAnswer: -1426*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(200 - 298*r - 200) - 4*r - 3*r + 5*r.\nAnswer: -598*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 795986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5601988 millennia?\nAnswer: 56.01988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109205?\nAnswer: 5, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 13\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3 + 17. What is the remainder when 27 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, h: 4, z: 1, y: 6}. Give prob of sequence ymyh.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 39111, 8, 62 in decreasing order.\nAnswer: 39111, 62, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -344.8 times -31185\nAnswer: 10752588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -91) + 4 - -11.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25317\/17 + 1489. Which is smaller: 19.8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/137184 and 79\/9268.\nAnswer: 317855328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-72) - (-21)\/28. Solve f - 5*k = 37, -m*f + k - 6*k = 46 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose -5*i + y = -6. Let k(b) = -6*b + i*b + 1 + 0 + 5*b. Give k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09 and -34607.\nAnswer: -34606.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 1. Let q(x) = x**2 - x + 2. Calculate 3*i(y) - 2*q(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 0.4, -9, -1, 0, 7.63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94 or -97?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r - 21602013 + 21602013.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wjwwj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3*(7 + 8). Suppose -v*h = w - 99, -7*h = -2*h + 5*w - 95. Solve -h = -4*j + u, 4*j = 2*j - 3*u + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19518.08141 - -19518. What is z rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6013044 by -2124.\nAnswer: 2831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -14. Let x = -8 - a. Let s = -2.039 - -0.039. What is the nearest to -0.2 in 0.4, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by -33\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/34173 - 3178109\/683460. Suppose -5 = t - 13. Find the common denominator of z and 2 - ((-170)\/t + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -254, -1781, -5914, -13979, -27302, -47209, -75026, -112079?\n\"Answer: -221*m**3 + 23*m**2 - 49*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -251255 divided by 1131\nAnswer: -251255\/1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 671, 29, 2\/7, 1.1, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 9:33 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3)*(-3 + 5075*a + 27 - 5077*a)*(1 - 4 + 2) as x + s*a and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 302, 343, 382, 419, 454, 487, 518?\n\"Answer: -b**2 + 44*b + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 384 - 381. What is the third derivative of -48*j**3 + 0 + 103*j**d - 2 - 22*j**3 - 95*j**2 wrt j?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - 11.84. Let o = 7 + q. Let z = o - -5. Which is the nearest to z? (a) -1 (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 7, o: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-5 + -190 - (-1 - -2)). Let g = s + 344. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-7)*-2 - 416\/(-112). Let q(s) = -s - 4. Let y be q(-8). Find the second derivative of -11*i**4 + 10*i + 26*i**f - 5*i**y + 8*i wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513424076.\nAnswer: 2, 11, 11668729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(117) + 0 + sqrt(117) + ((0 + sqrt(117))*-4)**2)*2.\nAnswer: 12*sqrt(13) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -79. Let g = -32 + j. Suppose -5*v = 5, v - 424 = -g*h - 0*h. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiskki. Give prob of picking 3 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*f = -1314 + 39. Suppose 3*u - 2*v - 5 = 0, 4*u + 3*v = -0*u + 18. Solve 2*w + f = u*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1532 - 1485. What is the remainder when 172 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183339788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 24. What is t(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + 26\/(-6). Is 16 a factor of (64 - 1) + (-4)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12884.469999 - -12885.17. Let y = 0.7 - o. What is y rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let y be b(-2). Suppose -o - 51 = -i - 10, o = -y. Let v = 34 + -14. What is the remainder when i is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281778 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*r - 167. Calculate the greatest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.86 - -30. Let g = f + 0.06. Let y = 2.2 - g. Which is the smallest value? (a) y (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232682?\nAnswer: 2, 116341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 5*m - 2. Let c be a(6). Solve s + 1 + c = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-2 - 5) + 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 339, -103, -543, -981, -1417, -1851, -2283?\n\"Answer: v**2 - 445*v + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j = -46*j + 92 + 132. Solve -33*y = -37*y - 2*m - 18, -2*y + j*m - 12 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/3 or -3906\/17?\nAnswer: -3906\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, 13.92 in decreasing order.\nAnswer: 13.92, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5067214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3949 = -241*b - 1835 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -15. What is the highest common divisor of g and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473 a factor of 128376406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8991.094 rounded to the nearest one hundred?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 3. Suppose -u*d + 17 = 8. Suppose -d*y = -6*y. Solve 11*m - 6*m + 15 = y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0731 in -0.4, 2\/15, 0.7, -1031\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + -6 - -40.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3066360 and 2873.\nAnswer: -3063487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 918104 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -b - 15, -12*q - 19 + 79 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1591 + 267.2409. Let p = 269 - h. Let q be 3\/9 - 22\/12. Put -2, q, p, -0.2 in decreasing order.\nAnswer: p, -0.2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 984 and 35916.\nAnswer: 71832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 108. What is the remainder when 67 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -784 at most as big as -6281\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v. Let f(r) be the first derivative of -3*r**2\/2 + 13*r + 4141. Calculate b(f(k)).\nAnswer: 12*k - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 5*b**2 + b - 8. Let u be w(-4). Suppose 4*q + z + u = 16, 2 = 5*q - 2*z. Let y = 7 - q. Solve 3*t - 4*t + y = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {n: 1, s: 18, q: 1}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2599 + 1316 - 2309 - 2*x**3 to b + u*x**3 + l*x**2 + d*x and give b.\nAnswer: 1606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -129, 3, 5, -3, 0 in increasing order.\nAnswer: -129, -3, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 102\/(-10) - 2\/(-10). Let t be 3\/(-18)*(-111)\/g. Let w = t + 9\/4. Is w > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92\/3*p + 2\/3*p**2 - 94\/3.\nAnswer: 2*(p - 47)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47703491929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14982739097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300*n**3 - 46*n wrt n.\nAnswer: -1800*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-61)\/(-1) + (0 - (10 + -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 7*k**2 + 11*k + 8. Let y be n(9). Let l = y + 87. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c5c5c7 + 1?\nAnswer: -1c5c5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1180180651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053889 to five decimal places.\nAnswer: 0.00539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + (4 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - 0\/(5 + -2). Let d(l) = l**2 - 9*l - 31. Let v be d(k). Suppose 0 = -2*p + v*m + 19775, m + 2*m - 9915 = -p. Round p to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1717312664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 715764 divided by 6?\nAnswer: 119294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3964 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 280.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -25. Suppose 3*t - 3*c = -3, -h*t = -c - 2*c + 11. Which is bigger: -16\/5 or t?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 12*v**2 - 32*v + 197. Give o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33197 = -14*f + 171539. Calculate the smallest common multiple of f and 14.\nAnswer: 102368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-984)\/(-21) - 5 - 1\/(-7). Suppose 20*r - u*r + 16918 = 0. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.6. Suppose -5*m + 27*m - 110 = 0. What is the smallest value in 2\/13, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x + 1552. Let c be (-8)\/(-44) - x\/44. Suppose 0 = -0*t + t - c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71602\/186255 + 3\/206950. Calculate the common denominator of -91\/12 and w.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 - 6 = -3*j, -18 = j - 5*v. Let o = 18 - 11. Suppose 20 = 5*l - j*c, o = 2*l - c - 2. Solve -l = 4*s + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 28*r - 152. Suppose 3 = 2*c + 4*w + 7, 34 = 3*c - 2*w. Let l be o(c). Solve 6*n + d + 4 = 10*n, -2*d - l = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 41*k**2 - 138*k. What is the remainder when 2105 is divided by s(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(-2*i**2 + i**2 - i**2 + (4*i - i - 4*i)*(2*i - 2*i + i) + 0*i**2 + 19*i**2 + 11*i**2) + 805*i**2 + 798*i**2 - 1735*i**2.\nAnswer: -186*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3329795*-0.3\nAnswer: 998938.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -4*v**7\/105 + 34*v**6\/75 - 34*v**5\/25 + 5*v**4\/3 - 4*v**3\/5 - 20*v + 25. Suppose m(z) = 0. Calculate z.\nAnswer: 0, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 9:33 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -4)*(-22 - -1). Let t be (-7)\/q - (-7)\/(-3). Let h be ((-2)\/t + -2)*-2. Solve 5*b = -h*k + 5, 0 = -0*b + 2*b + 4*k - 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -2\/3*o**4 - o + 0*o**2 - 1\/6*o**3 + 0. Find the second derivative of q(f) wrt f.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**2\/2 - 2*u + 449. Let m(i) = i**2 - 3*i - 6. Let f be m(5). Give t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205.1999068 + -205.2. Round d to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9))**(1\/4)\/((c*c**17)\/c**1))**(-45) assuming c is positive.\nAnswer: c**(3465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -29. What are the prime factors of -1 + 122 + 8\/(i - 0)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -109 + 37 + 4*w + 38 - w**2 + 36. Suppose 3*j - 18 = -5*o + j, 2*j = 4*o - 18. Let x be q(o). Solve 2*p - 3*p + x = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45249717 to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*c + 3*c + 2*c)*(2 + 0 + 0) - 377 + c + 377)*(-1 - 2*c**4 + 1).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = v + 9, h = -v + 6*h + 26. Suppose -g + 31 = 33. Sort v, -1, g in increasing order.\nAnswer: g, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-8))\/(33\/(-22))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3451 - 151. What is i rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3177 + 111. 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 the value of -5 + (-24)\/(-80)*16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27586.776 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 23607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-66)\/(-55))\/(6\/500). Calculate the greatest common factor of 25 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451563806.\nAnswer: 2, 3359, 67217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvlvlldlvlllv. Give prob of sequence vvl.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1082 + 1114. Solve 0 = 5*q - 13*q - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/5, -2\/13, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a - p - 1043, -2*p + 4 = 0. Let f = 3405\/4 - a. Let q = 962\/5 + f. What is the common denominator of 51\/14 and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4121656 is divided by 421.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(sqrt(192) + ((0 + sqrt(192))*6)**2 + 3*(sqrt(192) + 0)**2)*4 + 2.\nAnswer: -718846 - 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Let q = -19 - -19.14. Let k = q + -0.34. What is the closest to -2\/7 in k, v, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.3 + 0.7. Let w = 16.2 - z. Let h = w - 1. Sort h, 4\/3, -3.\nAnswer: -3, h, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(-112)*16\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 184538231093.\nAnswer: 184538231082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12898 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 3, o: 1, h: 2, d: 2, u: 2}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*t = -119*t + 305*t - 1990 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 47*p + 396. Let k be d(-16). What is the greatest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 2. Let v(o) = -o - 9. Let p(s) = -3*t(s) + v(s). Let g(m) = -m + 1. Give 5*g(c) + p(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 10. Let x(k) = -6*k + 9. Let j(a) = -5*v(a) - 6*x(a). Let u be j(6). Suppose 0 = -u*w + 7 + 5. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 12*o**2 - 41*o - 187. Determine d(-8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 4. Let p be d(-2). Let n be (12\/(-16))\/(p\/(-8)). Suppose -2*x - 3 = -3*x. Solve -n*i + 19 = -4*q, 0*q = -i - x*q - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*l**3 - 51*l**3 - 42*l**3 - 41*l**3 + 183*l**3 + 2066 - 15*l wrt l?\nAnswer: -3*l**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxiu when four letters picked without replacement from {k: 6, u: 2, i: 3, x: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-302)\/14*-3 - (-36)\/126. Suppose -66*c + 560 = -r*c. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 5*u + 97, -u = 5*g - 459. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56240 and 13680.\nAnswer: 506160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -259 + 230. Let i = h + 36. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*m - 4*m + 7*m)*(-278*m + 278*m - 16*m**2) in the form b + h*m**3 + q*m + x*m**2 and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*g - 21176 = 0, 3*b - 14236 = 5*g + 17526. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3*x**2 + 257*s**3*x - 2*s**3 - 68*s**2 - 53*s - 4*x**2 + 70*x - 4 with respect to x.\nAnswer: 2*s**3*x + 257*s**3 - 8*x + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399578948*f**3 + 524336505*f**2 wrt f?\nAnswer: -2397473688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 22*x**2 - 58*x - 22. Let v be w(-24). Suppose -v + 438 = 2*p. Calculate the remainder when p is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 2*n**2 + 7*n + 20. Let q be y(0). What is the greatest common divisor of 160 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 0.26. Let r = -159.15 - -159. Let x = r - 0.35. What is the second biggest value in o, x, -4\/7, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10557 is divided by 3476?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(96\/56)*6. Solve 9*n - a*n - 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11269 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*r + 33*r + 27 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-6) - (-2)\/3. Sort 1, v, -4.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 842 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 7*n**3 - n - 33*n**2 - n - 18*n**2 + 0 + 42*n**2 to the form g*n**2 + l*n**3 + o*n + b and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75.1 + -75.090325. Let h = 0.01 - a. What is h rounded to 5 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 - 8*x - 4. Let m(w) = 14*w**2 + 24*w + 13. Let l(u) = 4*m(u) + 11*t(u). Let b(n) = -2*n**2 - 17*n - 17. Determine 6*b(y) + 13*l(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6*-5*(-83 + 80). Let k be -29*(-10)\/25 + (-4)\/o. Solve 0*q - k = 6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:32 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1872297 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/(-825) + 33\/100. Factor j**3 - 3\/2*j**2 + j - c*j**4 - 1\/4.\nAnswer: -(j - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v - 56 = 0. Suppose 0 = 2*w - 86 + v. Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y - 237*y + 89*y + 87*y - 20 - 33*y.\nAnswer: 2*y - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1080 and -31\/7560.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 5, -3, 0.1, 1, -3\/7, 23\/3806?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = t - 7, -2*v + 2*t + 28 = 0. Let d = -81 - -60. Let a = d + 33. Calculate the lowest common multiple of a and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)\/u)**22*u**(15\/7)\/u**(-18) assuming u is positive.\nAnswer: u**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252639?\nAnswer: 3, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -50.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103513106 or -1?\nAnswer: 103513106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113833.802282 from -0.0558.\nAnswer: -113833.858082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1905 + -1906. Which is the third biggest value? (a) 1\/11 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/1682?\nAnswer: 7\/1682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 156381689 * -0.5\nAnswer: -78190844.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 6. Let i be j(-7). Let b be i + (0 + 37 - -2). What is the units digit of b\/6*(-48)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26404.54km to meters.\nAnswer: 26404540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 110?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5))**(-5)*(j**8\/j)\/j**10 assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 5*y**2 + 6*y + 2. Suppose -3*t + l + l + 16 = 0, -2*l = -2. Let q be r(t). What is the nearest to 1\/3 in 0.4, 5, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -4.4. Let z = 6.2 - 10.4. Let m = 1.2 + z. Which is the nearest to 1\/2? (a) m (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 157?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 - 98*s - s**4 + 2*s**4 + 2*s**4 + 71*s - 2*s**2 as r*s**4 + t*s**3 + j + a*s + d*s**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31041 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/138)\/2)\/(150\/(-375)*(-15)\/(-54)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.08 greater than or equal to 15605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/12*((-123)\/(-82))\/((-9)\/(-24))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from jysjssj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-3*r - r + r) + (-4*r + 45*r - 184*r)*(-1 + 5 - 1).\nAnswer: -435*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a**2 - 42*a**2 + 10*a**2 in the form j + s*a + b*a**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65489, 68447, 71405, 74363?\nAnswer: 77321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 420*b - 604*b - 3028*b in the form l*b + j and give l.\nAnswer: -3212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*p = 7*b - 6, 274*b = -1237*b - 3*p + 4527 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i. Let d be j(1). Suppose -d + 11 = t. Solve 3*z + 4*m - 14 = 0, -t*z + 1 = 2*m - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19020 = 599*l + 1346 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**10\/j)\/j)\/j)\/(j\/(j\/j**(-7\/2))) assuming j is positive.\nAnswer: j**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29997, -60000, -90005, -120012, -150021?\n\"Answer: -s**2 - 30000*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -358, -813, -1452, -2275, -3282?\nAnswer: -4473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.355 - -466.355. Sort x, 0.5, 4.\nAnswer: 0.5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c**3\/11 + 2*c**2\/11 = 0 for c.\nAnswer: -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/477 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/2, -3, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -430 - 8ac?\nAnswer: -100c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-0.01.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 16206 + -16075 + (-8 - (0 + 0)).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -20619029, 1, 7 in descending order.\nAnswer: 7, 1, -20619029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2 = 4*s, 0 = -6*l + 3*l + 3*s - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 12032639?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26\/667 - -20435\/28014. Find the common denominator of l and 76\/153.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -573\/7*g + 1692\/7 + 3\/7*g**2.\nAnswer: 3*(g - 188)*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 12 (c) -0.29 (d) -0.1 (e) 3 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Let g(p) = -4*p - 6. Let n(a) = -2*g(a) - 12*t(a). Let w(o) = -28*o. Let m(b) = 40*n(b) - 6*w(b). Let k(h) = h. Determine m(k(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 8. Suppose 3*v - 2 = -11, -b - 13 = 5*v. Solve h - n = b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-189.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i = 29*i - 252*i + 85*i - 9975 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7 + 1 = 0. What is the second derivative of 4*c + 3*c**x - 3*c - 2*c - 7*c**3 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l + 4. Let w be h(7). Let v = -8 + w. Solve -v*b - 10 = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/44748 and -85\/19888.\nAnswer: 178992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032014.\nAnswer: 2, 199, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 + 3*c - 5. Determine f(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 - -60. List the prime factors of o.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 768*p - 73728.\nAnswer: -2*(p + 192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*9\/30\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*p - 4*z, -10 = -4*p + 3*z + 6. Suppose 0 = p*w - 2035 + 747. List the prime factors of w.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) -4\/5 (c) 0.1 (d) 42846\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(15\/8))**42*d\/(d*d**(-14\/3))*d*((d\/(d*d**(-2\/63))*d)\/d)\/d*d)**(-9\/10) assuming d is positive.\nAnswer: d**(-21281\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16742 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003381523472 rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 468 = 7*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -666026*v**3 + 6381*v**2 + 3*v - 6?\nAnswer: -3996156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161910.298 - -21392.\nAnswer: -140518.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 2, e: 5, s: 8}. What is prob of sequence ey?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2 - 26 = 0. What is the remainder when 7 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 79*x - 97. Give b(-78).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d**2*i**3 - d**2*i + 9*d**2 - 2*d*i**3 + 2*d*i**2 + d*i wrt i?\nAnswer: 60*d**2*i - 12*d*i + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 212001022222 (base 3) to base 12\nAnswer: 19a668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.23, 25, 5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 12*w - 9. Let u = -43 + 30. What is the least common multiple of i(u) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.06, 0.1, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in -31790, 2.1, 0?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3\/2 - 2230*p**2 - 22395*p\/2 - 13455.\nAnswer: 5*(p - 897)*(p + 2)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10029*t + 273. Let s(n) = 528*n - 14. Calculate -117*s(k) - 6*w(k).\nAnswer: -1602*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l**3 - 6*l**2 - 8*l - 2. Let n(u) be the first derivative of 5*u**4\/4 - 2*u**3\/3 - 3*u**2\/2 - u + 1759. Calculate -3*k(d) + 8*n(d).\nAnswer: -2*d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**4 - f. Let q(h) be the second derivative of -h**6\/5 - 2*h**5\/5 - h**3\/3 - 2*h**2 - 14*h. Let o(i) = 10*m(i) - q(i). Let o(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7280, -55847, -187670, -444377, -867596, -1498955, -2380082?\nAnswer: -3552605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q + 5. Let u be p(2). Let m(s) = -2 + 3 + u*s - 5*s. What is the units digit of m(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + l = v + l - 3, 172*l = 40*v + 167*l - 545 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.5 - 8. Let r = d + 1.3. Let n = -11.1 - r. Round n to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = m - 7*i, -3*m = -5*i - 269 + 206 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 9. Let x = 8 - 8. Calculate the remainder when z is divided by x\/(-2) + (0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*b - 18 = 109*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 70078?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*p - 3 + 402*p + 602*p + 605*p - 2821*p + 603*p + 3.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-12) + -3*11\/44. Let s(f) = f + 11. Suppose 0*g - 19 = 3*t - g, -5*g = -t + 3. Let b be s(t). Solve -3*y - b*u = -v*y - 16, -3*y + 15 = u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -261?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 - 14 + 125*p - 30*p - 33*p - 60*p to n*p**2 + d + q*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - -4 - (32 + 6 + -30))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-194)\/1455*15\/(-12). What is the third biggest value in s, -32, 3, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1151700)\/(-7425))\/(4520\/6) + 1\/(-5)?\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1406 and -49\/38.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 357674017 to the power of 1\/2, to the nearest integer?\nAnswer: 18912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/73929564 and 133\/24643188.\nAnswer: 73929564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.2. Let p = o + -5. What is the third biggest value in -0.1, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13690 + -13688. Let f = 27\/4 - 7. Put m, -27, f in ascending order.\nAnswer: -27, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -25*y + 104. Let z be v(22). Let f = z + 456. Suppose -5*b - 3*g = 0, -4*b + 3*b = -3*g - 18. Solve b*u = u + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9654006 is divided by 1937?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30230064 divided by 6.\nAnswer: -5038344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23637.8 - 23638. What is the smallest value in -0.048, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50986 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -54. Sort -2, -0.3, g, 4 in decreasing order.\nAnswer: g, 4, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Let a(f) = 22*f**2 + 3*f + 3. Let y be a(-1). Suppose 2*q = 2*j - 4*j + 12, y = 3*q + i*j. Which is smaller: 7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15.6. Let h = -4 + g. Sort h, -0.1, -3 in descending order.\nAnswer: -0.1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(130))\/(sqrt(110)\/(sqrt(44)\/sqrt(4)))*2.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 10) in base 15?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(2))\/sqrt(8) - (-5 + sqrt(8)))*1.\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 7. Let o be x(-6). Find the common denominator of -1\/2 and -2 - o\/(-20)*194.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - 77*f - 132. What are the prime factors of w(14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-76)\/12))\/(-2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.027 - 29.973. Let z = 30.0064 + d. Round z to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.54. Let q = 0.14 + t. Let u = -1.3 + q. What is u rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/380 and -149\/3420.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93770, 187794, 281818?\nAnswer: 375842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -19*x**3 - 61*x**2 + 145*x + 111. Let t(l) = -3*l**3 - 10*l**2 + 24*l + 18. Let g(y) = -4*j(y) + 25*t(y). Give g(6).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 12\/(-18)*(-4)\/(-6). Solve -2\/3*w**3 + 0*w - 4\/9*w**2 + 0 + g*w**4 + 2\/3*w**5 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/504 and -71\/4200.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -99104855 - 8.7068\nAnswer: -99104863.7068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121003220200 (base 4) to base 2.\nAnswer: 11001000011101000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11))**(8\/3) assuming s is positive.\nAnswer: s**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w - 45 = 0. Let u be (-6)\/w + 32\/6. Let o(q) = -2*q + 8. Determine o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -15. Let t = 31.2 + -22.2. Let y = q - t. Which is the nearest to -1\/4? (a) -0.3 (b) y (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118 + 111 + 119 - 361 + 335*u**2 to t*u + y + o*u**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 - 7*c - 6. Let u(y) = -y**2 + y. Determine -2*t(b) - 10*u(b).\nAnswer: -2*b**2 + 4*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 + -136. Let l(s) = -s**3 - s - 1. Let i = -3 + 2. Let t(y) = 5. Let h(b) = -2. Let d(o) = -8*h(o) - 3*t(o). What is i*d(a) + n*l(a)?\nAnswer: a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45043 (base 6) to base 4.\nAnswer: 1202103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -3. Let k = -4 + s. Suppose o + 4*r = k*o - 58, 68 = 4*o + 4*r. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2 - 3. Let m = -378 - -380. Let f be 1\/m - 305\/122. Put s, -1, f, -10 in descending order.\nAnswer: s, -1, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i + 2. Let a(s) = -9*s + 2. Let g(o) = 2*a(o) - 3*w(o). Let n be g(-1). Let v be -8 + (-1 - -10) - (-1 + 5). Sort n, v, 0.\nAnswer: n, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 8*p + 26. Let c(b) = -b**2 - b. Let l(t) = -8*c(t) + u(t). Let q(f) = 2*f**2 + 3*f + 5. Determine -3*l(d) + 16*q(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/3 + 15878*y**4\/3 + 9936598*y**3 - 6838822694*y**2\/3 + 59363991292*y\/3 - 17518331424 = 0 for y.\nAnswer: -4073, 1, 8, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 - 18 + 0)*(2*z + 0*z - 5*z) + 4*z - 4*z + 7*z to i + h*z and give h.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f + 19. Let h be c(-5). Calculate the greatest common divisor of 135 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -26, -21, -18?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3993937?\nAnswer: 67, 59611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2040 and 698955.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20546937, -20546945, -20546957, -20546973, -20546993, -20547017?\n\"Answer: -2*m**2 - 2*m - 20546933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 448 + -448.2. Suppose -q + 5*w - 9 = -0*q, -6 = -3*q + 4*w. Which is the second smallest value? (a) q (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 + 1. Let h(r) = -r**3 - 3*r**2 + 2*r. Let d(g) = h(g) + 2*o(g). What is the smallest common multiple of 27 and d(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/16 - (-287)\/4. Let l = b - -53. Suppose j - 24 = 26. What is the highest common factor of l and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19725374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -43\/2. Let f = 32 - 31. Suppose 0 = -2*m - 4*w - 26, -4 - 20 = 3*m + 3*w. Put f, s, m in descending order.\nAnswer: f, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9367, 9359, 9351, 9343, 9335?\nAnswer: 9327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3912)\/2976 - (-4)\/62\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 17*q + 59. Let u be s(-19). Calculate the highest common divisor of u and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633 - 6022 = -17*l. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v. Let y(o) = -o + 5736. Calculate h(y(f)).\nAnswer: 8*f - 45888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9*(0 - -2). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from norrranannnnyanr. Give prob of picking 2 r and 1 a.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p + 6. What is the units digit of o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70 + 40*m**2 + 13*m**2 + 35 - 141*m**2 with respect to m.\nAnswer: -176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.3 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Suppose 2 = -r, -5*r = 4*x - 0*r - 6. Suppose -2*n = -5*d - 0*d + 12, 0 = x*d - 8. Which is the closest to j? (a) n (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/(-60)*12*-5*1. Calculate the greatest common factor of a and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 4, h: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.83 - -0.8. Let m = b - -0.0292. What is m rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 12*v + 14. Let f be t(3). Calculate the common denominator of f + (-6)\/120*-153 and 115\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -13. Suppose 5*r - 1 = b. Find the third derivative of 2*h**r + 3*h**3 - 3*h**2 - 4*h**3 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*l - 477*l + 45*l - 512*l.\nAnswer: -1036*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 166. What is the closest to v in 0, 3\/5, 1\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from {m: 1, r: 3, p: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4550259 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.9. What is the nearest to 0 in 7, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8355397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -356, -697, -1014, -1295, -1528, -1701, -1802?\n\"Answer: 2*r**3 - 355*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -201, -1166, -3797, -8934, -17417?\n\"Answer: -140*n**3 + 7*n**2 - 6*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 46\/10 + -4)*-10. What is the nearest to 0.05 in -26, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 0.2, -2, 1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -21. Factor 0*o - 1\/4*o**5 + 0*o**2 + 0 + 0*o**3 - 1\/4*o**x.\nAnswer: -o**4*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.3 + 13.605. Let k = 73 + -72.3. Let y = k + q. What is y rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205152 and 84832?\nAnswer: 543857952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**18*b*b*b*b**(-11)*b**(-2\/7)*b**12\/b assuming b is positive.\nAnswer: b**(159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 14*r**2 - 21*r + 260. Give v(15).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/117)\/(1\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - -13)*150\/(-45). Suppose h - 2*h = -12. Let n = h + w. Solve 2*v + 6 = -s + v, -4*s + n*v = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45, 155, 325, 555, 845, 1195, 1605?\n\"Answer: 30*h**2 + 20*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*h - 256*h - 244*h = 711 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 8. Let m be z(-6). Let j(h) = -h - 2. Let n be j(-4). Suppose -3 = -u + n. Solve -4*a - 1 = -a - m*l, u*l - 11 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2415*a = -2452*a - 1776 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.7 - 0.3. What is the third smallest value in -5, c, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78672327 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-1\/13)*o))*o**7)\/(o\/(o\/((o*o*o*o\/(o*o*o**(3\/2)*o)*o)\/o))*o\/(o\/(o*o*o*o**(-1\/6)))))**(-19) assuming o is positive.\nAnswer: o**(-4142\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -381488, -381461, -381432, -381401, -381368, -381333?\n\"Answer: b**2 + 24*b - 381513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*c + 7308 = -117*c. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -133447 and -0.8?\nAnswer: 106757.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1729 = -6*i + 271. Let z = i + 306. Calculate the smallest common multiple of 77 and z.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.142.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 - -113. Let k be l\/(-3)*4\/12. Which is the closest to 0? (a) -3 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*y + y - 36, 3*y + 12 = 3*j. Let a be (-2)\/(-7)*(-112)\/y. Suppose -4*o - 4*q = -q - 401, a*o - 2*q = 426. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820383291?\nAnswer: 11, 67, 3826843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 496266, 992535, 1488804, 1985073, 2481342?\n\"Answer: 496269*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2784 (c) 101 (d) -3 (e) -1\/2 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:23 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.161 + -0.102. Let m = 1.341 + k. Let q = m + -3.4. Which is the nearest to -2? (a) q (b) -3\/2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - b - 866, 412 = 2*g + b - 162. Which is smaller: 289 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -4, 31, 100, 215, 388, 631?\n\"Answer: 2*y**3 - y**2 + 2*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625994 = 35*k + 96864. What are the prime factors of k?\nAnswer: 2, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-14) - (1596\/(-49))\/6. Solve -u + o = -p, p + 5*u = -11 + 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 2. Let j(w) = -5*w**2 + 3*w**z - 2*w + 3*w. Determine j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (5 - 4)) + 2 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -288 greater than or equal to -9756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 43 = -h, -5*l - 5*h = -0 - 100. Suppose l - 53 = -d. Which is smaller: d or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-42))\/(10\/(-12)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 - 27 - 2*b + 6*b**4 + 2*b wrt b?\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etcc when four letters picked without replacement from {e: 7, c: 2, t: 11}?\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*k - 4 = 246*k, 4*k = b + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/17 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-8)\/612)\/(5\/15)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 7:10 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/4 + 877*j**3\/4 - 133377*j**2\/4 - 27468045*j\/4 - 27197775\/2 = 0.\nAnswer: -111, -2, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1800 - -21557\/12. Find the common denominator of (1711\/377)\/((-6)\/(-13)) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64848 divided by 3.\nAnswer: -21616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181 and 18462.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - -66 - 1 - 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 11 + (259 - 267)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39\/40 + -11\/10. Let j = 2 + -1. Let s = -132.3 + 132.1. Which is the nearest to s? (a) j (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (178 + -173)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 + -2767\/13. Let p = -2 + 1. Let x be (4 - (-52)\/(-12))*-3. What is the closest to 1\/2 in p, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 1. Suppose -4*z - z = -20. Let y = z - 10. What is s(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdinihnhu. Give prob of picking 1 i and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(273*p**2 + p + 155*p**2 - 160*p**2).\nAnswer: 536*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v**(-1)*v)\/v)*v\/v**(-3\/4)*v**8\/v*((v\/(v\/v**(-6)))\/v)\/v*v)**(3\/5) assuming v is positive.\nAnswer: v**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2086 and 13112.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)*6 - 1. Let q be r\/(-2)*2\/10. Let y = 93 - 94. Which is greater: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82308.51t in grams?\nAnswer: 82308510000","meta":{"dup_signals":{},"source":"measurement__conversion_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: Expand (10*p - 5*p + 14*p + 2*p)*(34*p - 51*p - 23*p).\nAnswer: -840*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -4*g + 0 + 0*g**3 - 2*g**2 - 1\/6*g**4. Let v(u) be the first derivative of j(u). Let d(i) = 2*i. Give d(v(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.66 + -0.719. Let c = 1 - z. Let b = 0.05846 - c. What is b rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772082.3 - -9.271203?\nAnswer: -2772073.028797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.6 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948693, -948696, -948703, -948714?\nAnswer: -948729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 274 - 264 = 0. Let u(d) = 3*d**2 - 2*d**2 - 4*d**n + 1 + 2*d**2. Give u(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/(-160)*(-3)\/15*14.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-525 + 525 - 9*d**2)*(-1 + 1 + 2*d)*(-1 + 1 + 1) to g + b*d**3 + p*d**2 + w*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3332000 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - ((-4)\/6 - (-3920)\/(-105)). Let q(f) = -f**3 + 41*f**2 + 44*f - 66. What is the lowest common multiple of q(g) and 11?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6036*m - 6464*m + 1 - 1.\nAnswer: -428*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676320548 to the power of 1\/2, to the nearest integer?\nAnswer: 40943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10101323003 (base 5) to base 11\nAnswer: 5825602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t - 591 + 2512. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 463, 677, 903, 1147, 1415, 1713, 2047?\n\"Answer: z**3 + 207*z + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1 + -1 - (15 - 29). Let f be 74\/r + (-3)\/(-8). Let p be (-51)\/(-21) + (-12)\/28. Sort p, 4, f, 0.\nAnswer: 0, p, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w - 20. Let l be x(9). Solve 4*u + l = -5*k, -u + k = -4*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -510?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-3) - -5*4\/(-10)) + 14. Let w(c) = 7*c + 6. Let m(a) be the second derivative of a**3\/6 + a**2\/2 - a. Determine k*m(l) - w(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.05, -36 in descending order.\nAnswer: 2, -0.05, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1053 - 1053 + 97*w + (0*w + 2*w + 0*w)*(0 - 3 + 2) - 3 - 2*w + 3 + w + 0*w - 5*w)*(-3 + 3 + w + w**2).\nAnswer: 89*w**3 + 89*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -187*n**3 - 2*n**2 + 4*n. Let f(z) = 31043*z**3 + 333*z**2 - 666*z. Give -2*f(u) - 333*p(u).\nAnswer: 185*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.119152 + -572?\nAnswer: -718.119152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 12666.\nAnswer: 1\/12666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -469*x**5 + 86*x**2 + 5*x?\nAnswer: -28140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 = 4*m. Let x = -4 + 10. Suppose -x*w - 8 = -10*w. Solve -w*r + 4*b = r + 15, -m*r + 5*b - 19 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 3. Let v = 16 - 22. Let d be m(v). Let b be 2\/(((-48)\/d)\/(-8)). Solve -r = -4*r + b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (11 + -12 - (2 + -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4503 is divided by 321.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13265 + 650015\/49. Let z = m + -2208\/245. Let x = -48201\/6260 - 1\/6260. What is the common denominator of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0 + (0 + 2 - 3)*(-1 + 2 + 0))*(-3*t + t + 0*t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*m + 156*m - 82*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -192527\nAnswer: 5\/192527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 19*k**2 + 96*k**2 - 2*k.\nAnswer: 77*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000101011 - 0?\nAnswer: 10010000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4902889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 100 = 5*h - 136, 4*h = -8. Let b(r) = -2*r**2 + 7*r + 25. Let d be b(-10). Is g bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 398*v**2 + 1 - 502*v**2 - 575*v**2 - 1 in the form a*v**2 + q + t*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 284 + 211. Suppose -3*x = 4*l - 1497, -x - 1362 - g = -5*l. List the prime factors of l.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than -842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**2*v**3 - 2*c**2*v**2 - 14*c**2 - 2*c*v**3 + 5*c*v**2 - 25074*v**3 + 3*v**2 wrt v?\nAnswer: -36*c**2 - 12*c - 150444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 188 - 732. Solve -5*r - 3*r = n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -379 (c) -9\/22 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129367934*b - 6*b**2 - 21 - 129367934*b + 21.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194953 and 2035.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1382 = 219*q - 91*q - 358 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in 45, -2\/7, 2\/7, -6, -12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y**2 - 6*y - 3. Let a be b(-6). Suppose 0 = 4*h + h - 5*c, 2*h - c = -4. Is a at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/4)\/(-10 + 11). Which is smaller: k or 14\/27?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 434 - 123055?\nAnswer: -122321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16292857.\nAnswer: 7, 2327551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m - 2*m**2 - 15*m + 37*m in the form g + j*m + u*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 125274045?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272 + -9793\/36. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -1 + -2)*3)**2 + (3 + (sqrt(425) - (1 + sqrt(425))))*1.\nAnswer: -216*sqrt(17) + 2531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyoy when four letters picked without replacement from {o: 5, y: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1711, 1793, 1875?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 + -109. Suppose -5*x + 4*y + i + 104 = 0, x - 25 = 3*y. What is the remainder when 80 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + 2)\/(1 - 0). Let d = -19 - -21. Suppose -d*u + 7 = -l. What is the remainder when 17 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Let d(m) be the second derivative of 1\/20*m**5 - 5\/12*m**4 + 0 + 1\/6*m**3 + 2*m**2 - m. Calculate d(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2077218 and 570?\nAnswer: 197335710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 - 5208145*v**2 + 1356241321120*v - 1356236112980 = 0. Calculate v.\nAnswer: 1, 520814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - -29 - ((-12 - -20) + -6 + 43).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 115*g**2 - g - 6. Let h be y(3). Suppose -369 + h = 3*d. What is the remainder when d is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/60 + 5*w**4\/8 + 26*w**2. Let k be b(13). Suppose -6*s - 2 = -k. Solve s = -i - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*i**4 - 2590*i**3 + 623*i**2 + 63976404?\nAnswer: -24*i**3 - 7770*i**2 + 1246*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {h: 2, y: 1, g: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(100) + 5.\nAnswer: sqrt(11)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502091200 divided by -48278.\nAnswer: -10400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 18 - 0 - (88 - (111 - 26)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6*a = -4*a - 203, 0 = -g + 5*a + 79. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.92 in 0.5, 0.01, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43624427 divided by 566551?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from ueueumueuueem.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -372 and -371 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15890, -62709, -140746, -250001, -390474, -562165, -765074?\n\"Answer: -15609*a**2 + 8*a - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000080024652 to 7 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-4) + 81\/27.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Suppose 6*w + 9*w - 60 = 0. Calculate a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 13*h + 4. Let f be k(-13). Differentiate 12 - 15 + 1 + f*d - 16 with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:58 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 3 = 17. Let b(a) = -4*a**2 + 3*a - 3. Give b(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.12 - -27.12. Let o = -3\/11 + 61\/143. Which is the closest to r? (a) -4 (b) -11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2844295 by 568859.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*u = -14*u. Let j(d) = d**2 + 3*d**3 - 2*d**3 + 3*d - 2*d. Determine j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -0.14. What is the smallest value in 2, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46761277 = 5*u + 4838723. What is u rounded to the nearest one hundred thousand?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + -47. Let b = w + -46. What is the nearest to b in 2, 0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + 3*t - 2691 - 4*t + 2690 - 7*t**2 to the form m + f*t + z*t**4 + b*t**2 + d*t**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -9, 5, 15, -2 in increasing order.\nAnswer: -9, -2, 5, 15, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 80\/15 + (-18)\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 572*r**2 + 10*r + 10. Let j(t) = -6293*t**2 - 112*t - 112. What is 56*d(q) + 5*j(q)?\nAnswer: 567*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11835 (b) -23 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*169\/39*3089846\/3. Suppose 4*k + 5*c = 7*c - p, -5*c = k + 10042005. What is k rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -1\/350*v**7 + 4*v**2 + 1\/50*v**6 + 1\/10*v**4 + 0*v + 0 - 1\/10*v**3 - 3\/50*v**5. Find p, given that t(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -819, -789, -759?\n\"Answer: 30*a - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*g. Let u be (-4)\/3*3\/(-2). Suppose -32 = -8*l + 3*l - m, -g*l + 14 = -u*m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -93. Let g be (301\/a)\/((-3)\/(-9)). Let k = 118 + g. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 20689628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 3*m**2 - m - 1. Let g be v(1). Suppose -72 - 72 = -g*o. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 0.01 (c) 0.09 (d) -0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 1503921231595?\nAnswer: -1503921231598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14263610609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:30 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/8)\/((-5)\/(-12)). Let v(r) = -5*r**2 + 3*r**3 + 0 + 7 - 3*r - 4*r**3 - 2. Let y be v(-4). Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/19 (b) -0.876 (c) -4 (d) 0.5 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26639*q + 8885*q - 4*q**2 + 8870*q + 8884*q + 6*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3358116 (base 9) in base 15?\nAnswer: 25b553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5745 (base 12) to base 9\nAnswer: 14268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151840039 is divided by 780?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1191*r. Let p(n) = -122*n. Let j(x) = 12*b(x) + 117*p(x). Let m(g) = 129*g - 2. Give j(m(i)).\nAnswer: 2322*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-4 + 0 + 3). Suppose x*h = 2*h + 4. Let w = 0.1 - -2.9. What is the second biggest value in 0.5, h, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -224, -155, -50, 97, 292?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1442 (base 8) to base 4\nAnswer: 30202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -7) + ((-140)\/24 - -4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4141077 to the power of 1\/2, to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 6*v - 2*v + 3*v. Let r(n) = -5 + 3*n - 7 + 7. Let y(j) = -1. Let s(x) = r(x) - 5*y(x). What is d(s(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (14 - (4 - 14 - (0 + -8))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15152, 15233, 15398, 15689, 16148, 16817?\nAnswer: 17738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/40 - -3 - 28\/70. Which is the biggest value? (a) 3 (b) 2 (c) -60 (d) -2\/13 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2306 (base 8) to base 6\nAnswer: 5354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24183949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(2) + 3)**2 + 0 + sqrt(18))*5.\nAnswer: 55 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140690292.\nAnswer: 2, 3, 11724191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 - -111. Calculate the remainder when 9 + l\/(-1) - 4 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3563893732?\nAnswer: 2, 7, 127281919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 16.9246?\nAnswer: 423.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.7. What is the third biggest value in m, -1\/5, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*f + 2*v, 2*f = -6*v + 4*v - 12. Are -106\/9 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 21*c**2 + 21*c + 24. Let l be d(-20). Solve -5*i = 3*n + 16, -l*n + 17 = i - 2*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11) + (sqrt(33)\/sqrt(3) - sqrt(11))))**2 + (-4 + sqrt(51)\/sqrt(3) + sqrt(17))**2.\nAnswer: -16*sqrt(17) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 177*u**3 + 1374*u**2 - 1200*u.\nAnswer: 3*u*(u - 50)*(u - 8)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 8*o - 3. Let l be k(7). Let s = 1 + l. Let f = 0.4 + -0.9. Which is the biggest value? (a) f (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 0 - (-30 - -11 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - 2*a + (-2 - 1 + 1)*(2*a + 0*a + 3*a))*(-3*a + 0*a + a)*(-2*a - 3*a + 0*a).\nAnswer: -130*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/7 + 33928*x**4 + 2612268*x**3\/7 + 915968*x**2 - 2612270*x\/7 - 949896 = 0?\nAnswer: -118737, -7, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 48180021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -4*v - 22. Suppose x - 2*a - v = -a, -3*a = 5*x - 189. Let f = x + -26. Solve b + b = f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0156 or -0.1?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2810.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:39 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(228)*1)\/(1*sqrt(12)*5))**2 + -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/9 + (-6435)\/(-31185)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**3\/3 + 2*h**2 - h + 6720. Let a be (12\/9)\/((-2)\/(-9)). Give w(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:06 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -21) + -8 - (-2 + -8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/4 - 10*g**3\/3 + 5*g**2 + 13*g - 20. Calculate the smallest common multiple of v(9) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 90*n**2 - 40*n - 284. Is v(-8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 6*h + 7. Let g(l) = 2*l**2 - 11*l - 13. Let x(m) = 6*g(m) + 11*n(m). Let w be x(0). Is -2\/557 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*(2 + sqrt(405) + 1) - 2*((sqrt(405)*1 - sqrt(405)) + -1)) + -1)**2.\nAnswer: 5760*sqrt(5) + 41524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.29, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*r - 337 + 2469 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 10424?\nAnswer: -10433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Let g = -57 + 127. Suppose 5*j = -2*j + g. What is the highest common factor of z and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -3\/5 (c) 1\/11 (d) -2 (e) -3\/2 (f) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.674994 to 3 decimal places.\nAnswer: 0.675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8001 divided by 3\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = 24*w - 8. Suppose 8*p - 121 = 3*p + w*z, 2*z = -2*p + 34. Suppose -5*k - 11 = -p. What is the highest common factor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -255*k**6\/2 - k**4\/4 + 3759*k**2\/2 - 2402. What is the second derivative of h(n) wrt n?\nAnswer: -15300*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*q + 94*q + 57*q**3 - 3*q**2 - 32*q - 29*q in the form x*q**3 + p*q**2 + f + n*q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -5 + 4 + (-3568)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 172 + 103 + 33*y)*(3*y**4 - 9 + 9 + 23*y**4).\nAnswer: 858*y**5 + 260*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7410509 or 7410510?\nAnswer: 7410509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 2*t + 2. Let d be j(-2). Let l be (78\/65)\/(2\/20). Let r = 102 + -99. Sort r, l, d in decreasing order.\nAnswer: l, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6108 and -59\/692?\nAnswer: 1056684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 0*p - 3*p**2 - 4*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 2, p: 4, u: 7, w: 6}. Give prob of picking 1 p and 1 u.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2228 - -2228. Let h(b) = -20. Let f(o) = -o - 20. Let y(n) = -3*f(n) + 2*h(n). Calculate the remainder when 38 is divided by y(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11186892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*s - 697, 5*s = s - 4*l + 920. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -31, -22, -13?\n\"Answer: 9*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*a - 2 = 0, -2*u - 3*u = -2*a - 1. Suppose 33 = 30*z - 117. Solve z*q + m + m - 33 = 0, q - m = u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssx when three letters picked without replacement from {x: 3, j: 10, s: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.06, 1\/17, 0.2 in ascending order.\nAnswer: -1, 1\/17, 0.06, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 + 1584*w**3 - 127576*w**2 - 5789520*w - 53436100 = 0. What is w?\nAnswer: -17, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prct when four letters picked without replacement from {p: 1, c: 6, r: 1, t: 9}.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48456, -96906, -145356, -193800, -242232?\n\"Answer: y**3 - 6*y**2 - 48439*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1784, -1, -4, 2\/3, -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 265, 258, 251, 244?\n\"Answer: -7*f + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 22 (b) -2\/11 (c) 0.26 (d) 3\/13 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3982\/3 + -1339. Calculate the common denominator of 44\/3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13243919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678829017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1)*f**(-5)*f)\/((f\/f**(1\/2)*f*f)\/((f*f\/(f*f**0))\/f)))**(-4\/19) assuming f is positive.\nAnswer: f**(18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6208*m - 589845 = -161493 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/3 - 20*l**3\/9 - 4*l**2 + 981. Factor q(d).\nAnswer: -4*d*(d + 2)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 40 = 0. Suppose -4*h + 33 + 7 = 0. Are i and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201221000121102 (base 3) to base 2.\nAnswer: 101000011001011011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2626692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 18 = 2*j + 11, j - 4*n + 32 = 0. Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24 + 22?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**7\/84 - j**6\/2 - 23*j**5\/3 - 50*j**4 - 500*j**3\/3 + 233*j**2. What is s in l(s) = 0?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -18*f**2 - 12*f + 72. Let c(b) = 18*b**2 + 10*b - 72. Let v(r) = 6*c(r) + 5*x(r). What is the first derivative of v(l) wrt l?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.19, -12 in descending order.\nAnswer: 0.19, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7818 is divided by 610?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*n - 3590807 = -230918 + 979701. What is n rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:36 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287559012 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 4)*(-2*z + 2*z + 2*z) - 3*z - 3*z - 11*z + (3*z + z - 3*z)*(1 + 1 + 0) + 26 - 26 - 7*z + (-5 + 5 - 5*z)*(1 + 0 + 1) as n*z + v and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-120)\/(-39)) - (-238)\/136?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638162.\nAnswer: 2, 7, 79, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 101*w**2\/2 + 500*w - 550.\nAnswer: -(w - 110)*(w - 1)*(w + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 1:16 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 6*d + 5. Let r be a(-3). Solve 7 + 13 = -r*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/(m*m*m\/(m**(-6)*m)))\/(((m\/m**2)\/m)\/m**6))\/(m**0*m**(1\/3)*m*(m*m*m*m*(m**(2\/23)*m)\/m*m)\/(m**2*m)) assuming m is positive.\nAnswer: m**(-374\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/1*(-15)\/4. Let x be ((-6)\/(-4))\/(u\/24). What is the third smallest value in -5, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*k = 390 + 171, -2*b - 2*k - 228 = 0. Let u be (7\/(70\/45) + -4)\/1. What is the second smallest value in 2\/3, 0.4, b, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 3*s**3 - 2*s**3 - 3*s**2 + 14*s - 3*s as r + l*s + p*s**3 + x*s**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77 - 77 - 19*v**4 + v**4 + 0*v**4 + v**4 + (v**2 - 2*v**2 - v**2)*(v - v - v**2) + v**2 - v**4 - v**2 - v**4 - 2*v**3 + 2*v**3 + 4*v**2.\nAnswer: -17*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148 and -0.9?\nAnswer: 133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*p*p)\/p**(9\/8)*(p*p**(-5\/14))\/(p\/p**(11\/6)) assuming p is positive.\nAnswer: p**(521\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/2 - 0)\/(81\/54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.8 and -2.3?\nAnswer: 20.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -65, -106?\n\"Answer: -41*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 30\/105 - 390\/(-7)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 341*f**9\/252 - 7*f**5\/30 + 7*f**3\/6 - 1021*f**2. What is the third derivative of p(b) wrt b?\nAnswer: 81840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508134 bigger than 1508141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71, 21, -29?\n\"Answer: -50*i + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 903426 and -11322?\nAnswer: 914748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*r + 3209 - 1397 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*z**2 + 2*z**4 - 82*z**3 - z - z + 175*z**3 - 92*z**3 as w*z**3 + y + i*z**2 + l*z**4 + m*z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*c*l**3 - c*l - 2*c + l**3 - 15 wrt l?\nAnswer: -420*c*l + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aulaaauauu. What is prob of sequence uulu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m**2 + 0)*(46 - 46 - 6*m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0097 + -0.2903. Let s = -0.3 + 0.2. Let w = -0.4 + 0.8. Sort s, w, t.\nAnswer: t, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) -1\/3 (c) -5 (d) -1.1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-21))\/((-1)\/(-6)). Let v(i) = -6*i - 3. Let m be v(a). Find the second derivative of m*l**3 + 15*l - 3*l - 2*l - 6*l wrt l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2. Let t(b) = 171*b**2 - 512*b**2 + 485*b**2 + 1219*b**2. What is t(m(i))?\nAnswer: 12267*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -24*r + 54. Let k(h) = 5*h - 11. Let l(f) = 28*k(f) + 6*o(f). Differentiate l(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/11 - 6*(-436)\/(-264) - 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l = -100*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 1:50 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 - t + 312. Let r be l(0). Suppose -4*p - 112 = -r. Suppose 2*o = -0*k + 2*k + 4, -5*o - 5*k + p = 0. Solve o = s + 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 79*h**2 - 138*h - 184. What is the ten thousands digit of f(-79)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntt when three letters picked without replacement from ttnntt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298116 = -47*s + 408546 - 124050. List the prime factors of s.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c (base 16) to base 3.\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -4. Let d = 12 + u. What is the greatest common divisor of d and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145.04381394 - -145.56281. Let n = -0.519 + v. What is n rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3.9. Let p = u - -0.9. Let r be ((-3)\/(-34))\/(3\/4). What is the biggest value in p, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*-6 - -1. Let u be (3 - 12 - -18) + -9. Suppose -5*b + a*m = -0*m - 288, u = 3*m + 6. Calculate the remainder when b is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 36 + 28*l**2 + 4*l**4 + 24*l**3 + 8*l**2 = 0. Calculate l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*d + 75 = -211*d + 5*u, 3*u = 3. Suppose -2*o = -240 - 12. What is the greatest common divisor of o and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 10*b - 17. Let a be l(8). What is the least common multiple of 11 + 1 + -1 + (0 - a) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11484442 (base 9) to base 2\nAnswer: 10101011000101111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -1\/10*j**5 + 22*j + 33\/2*j**2 - 1 + 0*j**3 - 1\/2*j**4. What is the derivative of w(l) wrt l?\nAnswer: -6*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81245909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 5\/4 (c) 0.03 (d) -7\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -309 + 311. Put g, -5, 4, -142 in decreasing order.\nAnswer: 4, g, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26921, -26368, -24837, -21830, -16849, -9396, 1027, 14918?\n\"Answer: 83*n**3 - 9*n**2 - n - 26994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 3*o**5\/4 - o**4\/6 + 37*o**3\/3 + 115*o. What is the second derivative of v(z) wrt z?\nAnswer: 90*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u - 6*c = 218*u - 72*u - 76*u - 6, 0 = c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2036, -2041, -2068, -2129, -2236?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3564)\/(-16) + 3\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002288768344 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b9 - 5?\nAnswer: 6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 7 = 12*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z + 107. Let m be n(8). Solve 1 = m*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(500) + -1 + -2.\nAnswer: 2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96941*i + 43577 with respect to i.\nAnswer: -96941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 19580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10605 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/9, 97, 3\/7, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 280518216.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(9\/(-27)*3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 4. Let l be z(-4). Let d be l - (1 + 3\/(-6)). Which is the smallest value? (a) -4 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -617, -1379, -2445, -3815?\nAnswer: -5489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -300 + 303. Suppose r*i = 12, -w = -18*i + 16*i - 11. Calculate the remainder when 94 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**3. Suppose 0 = 6*n + 424 - 1090. Suppose -132 = 100*h - n*h. Let d(y) = -4*y**3. Give h*d(i) + 4*p(i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.09621*-0.4\nAnswer: -0.038484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61639 = 34*f + 62217 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 104\/8 - 6. Is (130810\/381)\/(o - 7\/9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.019108 from -15463.57739.\nAnswer: -15463.558282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -60*y - 25. Suppose 3*l = -44 + 2. Is w(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/367249 and 19\/33.\nAnswer: 12119217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9. Suppose x = -6*h + h + 5450000. What is h rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/3 + 127*y**4\/3 - 165*y**3 + 123*y**2 = 0.\nAnswer: 0, 1, 3, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 102, 19, -4\/11, 2\/5, 4\/9?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1. Let s(n) = -12*n**3 + 57. Let j = 59 + -57. Let h(i) = j*m(i) - s(i). Differentiate h(x) with respect to x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2505630 - 552?\nAnswer: -2506512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 16*x + 18. Let n be ((-84)\/(-9) - -2)*54\/(-36). Let w be i(n). Which is bigger: 2\/263 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/306)\/(10\/34)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30622 + 80140 = 232*d + 48*d - 1066*d for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 13. Suppose -2*r - 4 = -10*t + 12*t, 2*t = -4*r - 18. Give n(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**7)\/(s*s**(-2\/29)))**(-10\/7) assuming s is positive.\nAnswer: s**(-2050\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73336\/3 - 24444. Determine c so that u*c - 2\/9*c**2 - 2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*t = 217*t + 420 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 169.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + r + 0 + (0*r - r - r - 5 + 2*r + 5 + (2*r + r - 5*r)*(0 - 1 - 1) - r + 2*r + 0*r)*(-2 + 5 - 1)*(5 + 1 - 5) to the form x + p*r and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*m + 163, 4*r + 2*m = -2*m + 156. Suppose -b + r = 5*z, -b + 6*z - 1 = 2*z. Let c = -4 + 61. What is the remainder when c is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h**2. Let r(w) = -7*w**2 + 6. Let c(a) = -6*a**2 + 5. Let k(l) = -6*c(l) + 5*r(l). What is m(k(f))?\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:35 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6333\/7 - -905. Which is the third biggest value? (a) -17 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let r(n) = -63 - 6*n**2 + 11 + 5*n**2. Calculate b(r(p)).\nAnswer: -2*p**4 - 208*p**2 - 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5))**42\/(a*(a**2*a)\/a*a)**0 assuming a is positive.\nAnswer: a**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*z + 84668 = -2083*z for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15438882.0000055 - 15438900. Let t = -18 - a. What is t rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:46 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((-3*(sqrt(55)\/sqrt(5) + sqrt(11)) + sqrt(11) - 5*(sqrt(44) - sqrt(11))) + -2)*-4)**2 + 1).\nAnswer: 640*sqrt(11) + 17665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqiqiqq. What is prob of picking 1 q and 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/341 and -43\/2387.\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqgn when four letters picked without replacement from aanztgq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4884? (a) -1 (b) -0.05 (c) 0.4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 6, 1\/27, 2\/3, -5, 0.4 in decreasing order.\nAnswer: 19, 6, 2\/3, 0.4, 1\/27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 153336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = -11. Let d be (9 + i)*(147 - 2). Let c = -70 + d. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15788945, -31577889, -47366833, -63155777, -78944721, -94733665?\nAnswer: -110522609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 6*p**5 - 3*p**5 - 3*p**4 + 3*p**4 + 8*p**5 + (1 - 1 - p)*(2*p**4 - p**4 + p**4).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 10*t**3\/21 + 2*t**2\/7 + 2. What is y in s(y) = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 454 and 19972820.\nAnswer: 19973274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuiuuuuuuuiiuuiu. What is prob of picking 4 i?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 3*r + 4. Let v = 3 - 9. Let c be -1*v*3\/6. List the prime factors of h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 178\/1035?\nAnswer: 178\/1035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-9)*102\/(-510). Sort h, 2\/9, 159, -2 in increasing order.\nAnswer: -2, h, 2\/9, 159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 9*t - 29. Suppose 3*q + 98 = -4*q + 14*q. Calculate z(q).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 7*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, p: 2, v: 2, n: 3, b: 4}. What is prob of picking 1 b and 1 v?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/6)\/h*h**(4\/3)*h)\/(h*h**1*(h*h*h**(2\/5)\/h)\/h*h))**2 assuming h is positive.\nAnswer: h**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3859*i - 5135 - 8992 = 4083*i - 7665*i for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12300 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (3 - (-17 - -15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3194 = -4*b, 50*m - 8*b = 50*m. Is -3198 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.6 in 4.97, 4, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -228231 (base 10) to base 7\nAnswer: -1640253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -30. What is the units digit of (y\/21)\/((12\/86)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 4*o + 3*o)*(11 + 11 + 4) - o + 8 - 8 to the form f*o + s and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45106 - 4440?\nAnswer: 40446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262959 + 262948 - 525907 - 5*r + 0*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z + 1. Let q be t(-1). Let r be (-3)\/q + 1 + 0. Let k = 4 - -1. Solve k*w + 5*b = 20, -r*b - 16 = w - 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2 + 11*x + 15*x - 25*x. Calculate c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 0.04. Let o = 0.06 - u. Let k be (-4)\/20 + (-1)\/5. Which is the second biggest value? (a) 5 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177079 is divided by 637.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000197024138 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-108))\/(28\/336)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-6) + 1802\/1590. What is the nearest to 0.1 in b, 0.1, -20, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 49 (b) -0.01 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 - 0.53.\nAnswer: 129.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - 11 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/858)\/((-6)\/117)*(-26 - -4) - -45?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*r - 12, -49*z - 111 = -2*r - 219 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*f**2 + 119*f**2 - 54*f**2 + 794*f**3 + (f**2 - 3*f**2 + f**2)*(-3 + 3 - f) in the form c*f**2 + j*f + x*f**3 + y and give x.\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/60 - m**4\/8 - m**3\/6 - 2*m**2. Calculate the remainder when ((-570)\/665)\/((-2)\/112) is divided by n(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 463751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194802\/7 - 27829. Sort -2\/13, 5\/3, 0.2, 36, p in descending order.\nAnswer: 36, 5\/3, 0.2, p, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 13587*h - 13591*h + 52 = 0, -23 = u - 2*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 + k + 2. Let o be y(0). Let v(d) = -12*d**2 - 3*d + 3*d**2 - 6*d**3 + 1 + 5*d**o. Is 34 a factor of v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43295792?\nAnswer: 2, 79, 34253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a - 14 + 20*a + 12)*((2*a - a - 3*a)*(-2 + 3 + 0) - 9*a + 7*a + 0*a)*(-7 + 7 - 3*a).\nAnswer: 156*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 4*y**2 - 4*y**3 - 2*y**3 + 5*y - 6*y as m*y**2 + q*y + c + w*y**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 2*i - 22, -t + 11*i = 10*i + 2 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-135))\/(36\/10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 94*u = -7714 - 11910. Calculate the remainder when 2898 is divided by u.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22534 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8 - 0) + 2)*((-1)\/474)\/(305\/610)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 78674.\nAnswer: 708066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25*c - 246. Determine g(-9).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -14, -5, -0.16 in descending order.\nAnswer: -0.16, -0.2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5098036730 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -9 + 59. Let d = 1225 - 1214. Is v at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - 6.06. Let z = r + 10.6. Let v = z - 5.2. Which is the closest to -1? (a) v (b) 2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*h - 5*l + 107, 0 = 4*h - 2*l + 74. Let p = h - -42. Let x(n) = p*n + 10*n - 11*n. Let o(w) = -2*w. Give o(x(r)).\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4)\/7*(-49)\/14 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**2 - n + n + 4*n**2 to the form k + l*n + y*n**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-299)\/(-253) - (-2)\/(-2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1415849*l**2 - 3*l + 1. Let m = -3 - 0. Let u be x(m). Suppose -4*p + 5657349 = -u. Round p to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 8. Let w = k + 8. Let v = 11 - 11. Sort w, 0.5, v.\nAnswer: w, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*x**3 - 3\/2*x**4 - 21*x - 69\/2*x**2 + 0.\nAnswer: -3*x*(x + 1)*(x + 2)*(x + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3)*c)**18*((c\/(c*(c*c*c**(-2\/3))\/c))\/c)**(-13\/5))**(1\/2) assuming c is positive.\nAnswer: c**(251\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -368*z - 140*z - 2884*z to d + r*z and give r.\nAnswer: -3392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14723*f**4 + 98*f**2 + 6591228*f?\nAnswer: -176676*f**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 820 = 516 - 880. Let r = -0.02 - -0.42. What is the closest to -1\/3 in w, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0464 + 0.5464. Sort u, -173, -5.\nAnswer: -173, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + 28)*(-24)\/(-9). Suppose 4*q - 72 = -4*k + 100, 0 = 4*k + q - 160. Suppose -6*a + k = -33. Calculate the highest common factor of v and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 11193012?\nAnswer: -11193012.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20*x**2 + 6*x. Let u be 0 + -1 + -2 + -11. Let z(i) = 7*i**2 - 2*i. Determine u*z(o) - 5*c(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 81 = -51, 0 = 7*s - 8*j - 3 - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 - h - 7. Let a(r) = -r**2 - r - 1. Let k(y) = a(y) - v(y). Let c(w) = 5*w**2 + 7. Give -6*c(p) + 7*k(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) + (-26)\/(-3). Let g = -5 + d. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1919*s**2 + 3840*s**2 - 1920*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bun when three letters picked without replacement from {u: 5, n: 3, b: 1}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 + 15*y**4 - y**4 + (3*y - 3*y - 2*y**3)*(-y + 0*y + 0*y) - y**4 + y**4 - y**4 - 5*y + y**4 + 5*y.\nAnswer: 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - b - 5*b + ((-452 + 1900 - 339)*(2 + 3 + 4)*(-2 + 1 + 3) + 2 - 3 - 1)*(-b - b + 3*b) as t*b + z and give t.\nAnswer: 19958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 655, 5180, 17467, 41398, 80855, 139720, 221875?\n\"Answer: 647*b**3 - b**2 - b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 20*p + 11. Is g(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 9.6. Let a = 1.7 - s. What is the smallest value in a, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 140*b**4 - 2145*b**3 = 0 for b.\nAnswer: -11, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 + 65.3. Let q = w + 86. Let d = q - 132.8. What is d rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 7117*f + 35513. What is a(5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 2. Let c(t) = 3*t**2 + 4*t - 8. Let i(u) = 3*c(u) + 12*q(u). Let b(f) = 8*f. Calculate i(b(m)).\nAnswer: 576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*8\/(-2) - -33. What is the highest common divisor of 248 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 604 + 219 = 0. Let q(m) = 7*m**3 - 136*m + 148*m + d*m**2 - 8*m**3. Give q(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, -b + d - 2 = -d. Let r be -7 + 3 - -7 - b. Solve -25 = -r*k + 10*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dex when three letters picked without replacement from xjxjxqjxxdxeqjxxxx?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 11004 + 5097 = -246*l + 3096 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481 - 5318 = 3837*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 653032571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 1, j: 7, s: 4, i: 1, h: 3}. Give prob of sequence is.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 148. Let a be -9*3 + 8 + -11. Let u = i + a. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/10 and (-2)\/(-12) + ((-4)\/(-9) - 4244115\/6790986).\nAnswer: 18770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 0) + (1 - -1 - 25). Let h be (2 - 10\/8) + (p - -25). Does h = -177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(567).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 11. Let h(v) be the first derivative of -v**3 + 7. Give u(h(k)).\nAnswer: 3*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13535183*m*n**3 + 7230153*m*n - n**3 wrt n.\nAnswer: 81211098*m*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8304 take away 1397422416?\nAnswer: -1397414112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-26) - ((-79655)\/858663 - 2\/(-9))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47745888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2037 = 2*m - 5975. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 9*n**2 + 7*n + 19. Let h be q(-8). Let o(a) = -5*a + 2. Let g(p) = 7 - 6 + 66*p - 9 - 19. Calculate h*o(v) + 2*g(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151754 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssaasazssssazzsssza. What is prob of sequence zaas?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rjrjrcjrjrcrj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -54477788.26 to the nearest ten thousand.\nAnswer: -54480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q - 881 + 245 = 11*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9928\/9 - 1098. Let a = s + -40\/9. Let o = 12 - 8. Put 0.2, a, o in ascending order.\nAnswer: 0.2, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4*t - 32, -3*q + 5*t = -37 + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 492819600 a multiple of 4513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 3. Let v = -432 + 439. Find the first derivative of -6*t - 5 - k + v*t wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/1375)\/(48\/159640). Let j = g - -178\/15. Suppose -s - 3*s = 0. Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (2 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/30*(-216)\/702.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.165 smaller than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*m)**(-24)\/(m**(-2\/7)\/m*(m\/(m\/m**(-7)))\/m)*(m*m**(-2\/3)\/m)**(10\/7)*(m**(1\/3)\/m*m)\/(m\/(m\/(m**(-2\/7)*m))) assuming m is positive.\nAnswer: m**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -5\/2*h**2 + 10*h - 5\/3*h**3 - 14. Factor u(w).\nAnswer: -5*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339323 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, l: 2, t: 2}. What is prob of picking 1 s, 1 t, and 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1797, -9, 4.\nAnswer: -1797, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5\/5 + 16*i**4\/5 + 3*i**3 = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10025850 (base 9) to base 10\nAnswer: 4800429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4339632 by -1446544.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -202 * -1\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.7 + 5. Put c, -5, -3\/8 in increasing order.\nAnswer: -5, c, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1939 + -9696\/5. Which is the nearest to 2? (a) g (b) 1\/3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35? (a) -0.004659 (b) -74 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728b9 (base 13) to base 11.\nAnswer: 130704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -612344 divided by 4?\nAnswer: -153086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.5, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-14)*o*o\/(o*o*o\/(o\/(o\/(o*o**(-19)*o))*o*o)) assuming o is positive.\nAnswer: o**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 19. Let m(a) = 63*a**2 - 19*a**2 - 20*a**2 - 26*a**2. Determine r(m(f)).\nAnswer: 6*f**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 7. Suppose -5*g + 40 = 2*r, 4*g - r - 9 = 2*r. Suppose g*n - 11*n - 3*j - 28 = 0, 5*n = -2*j - 27. Determine m(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -2143?\nAnswer: -2172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i - 15*i + 18*i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36567092549 - -0.1.\nAnswer: -36567092548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -650, -760, -934, -1166, -1450, -1780, -2150?\n\"Answer: p**3 - 38*p**2 - 3*p - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 + 5*f**2 - f**2 + (-f + 0*f + 0*f)*(2*f + 0*f - 3*f))*(-f - 3 + 3) + (2*f**3 + 4 - 4)*(2 + 3 - 3) as d*f**3 + p + z*f**2 + k*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.0098ml to litres.\nAnswer: 0.5240098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 + -228. Let i(g) = 2*g - 2. Let x be i(3). Is 4 a factor of 22\/z + (-3)\/(5 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173 - 183.3. Let o = s + 10. What is the nearest to -1\/8 in 1\/5, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32700 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.76 - 21. Let f = -0.03 + m. Let v = 0.07 + f. Which is the smallest value? (a) -4\/3 (b) -4\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.077 - -17432.79.\nAnswer: 17432.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*v - 21 = -8, -3*v - 9 = -3*i. Let b(h) = h**2 + 1. Let w(a) = -4*a**2 - 4. Calculate i*w(u) - 6*b(u).\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - l**2 - l - 2 + 3*l - l**3. Suppose 0 = -12*z + 15*z - 9. What is q(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 1403\/123?\nAnswer: 1403\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.07 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1*1)\/((-65)\/195). What is the nearest to 5.7 in -3\/4, q, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-525)\/(-15))\/(-7)*3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5891 or 6430?\nAnswer: 5891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 1 n when three letters picked without replacement from xxviddncc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let o(d) = d - 1. Let g = 6 - 0. Let s(v) = 16*v**2 - 32*v**2 - 6*v + 15*v**2 + 6. Let w(t) = g*o(t) + s(t). Calculate w(q(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = 4*y, -2*c + 7*c + 4*y + 8 = 0. Let f(p) = p**3 + p**2 + p - 31. Let d be f(c). Let s = d - -68. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59634460 is divided by 114?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 696176100 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - c + 6 - 34 = 0, -s + 5*c = 4. Let g be 1 - (s\/1)\/3. Suppose g*p = 6*p - 4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 384782014.385 - -11.\nAnswer: 384782025.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -12 + 3 + 1 + -4. Let x be u - (-3 + 1554\/(-519)). Is -1 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4, 10 = 371*k - 373*k - b. Let v be (1 + (-3)\/2)*0. Is v > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 469572 and 1515972?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -15 (c) 3\/5 (d) 5208\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Suppose -3*w = 4*c - 35, w - 15 - 10 = -4*c. Let b(a) = -5*a + 4*a + w*a. Calculate b(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28\/139 - -12703\/1112. What is the common denominator of n and 0 - (-198)\/16 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w, -2*w + 6*w = -2*h + 4. Let l be h\/5 + (-442)\/455. Suppose 7*u + 8 = 3*u. Which is the smallest value? (a) -1 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 118827, 237654, 356481, 475308?\n\"Answer: 118827*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2063 + 1335802.\nAnswer: 1333739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hhazhaiiiaahhghh.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (72 - 51) + 19.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 12 - 2936*n**2 + 45341*n**2.\nAnswer: 42405*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:49 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 595517571 to the power of 1\/2, to the nearest integer?\nAnswer: 24403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6263339 to 2 dps.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -275 - -285. Solve 0 = y + o*y + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-12)*((-3)\/(-7) - (-222)\/(-28)). Let j be ((-3)\/27 + 0)*-2. What is the fourth smallest value in -4\/3, m, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*h + h - 28, 2*h = -4*z + 20. Suppose 0 = -s - 3*g + h, 5*s + 2*g - 12 = 3*s. Is 4 a factor of (s - 2) + (-1 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28412 + 28810 - 57222 - 40*m**3.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452438.\nAnswer: 2, 3, 13, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 + 230. Suppose -4*g = 11 - d. Solve 0 = 4*b - v + 5*v + g, 5*b + v = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450*h + 132924000 = -452*h. Round h to the nearest one million.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 2, s: 2, o: 4}. What is prob of sequence osjx?\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-515))\/(6*(-6)\/9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 60 = p. Let v = p - -10. Let k(o) = -o**2 - 7*o. List the prime factors of k(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-4 - 3*p + 4)*(76 - 27 + 38).\nAnswer: 522*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**5*z**2 - 13*i**3*z**2 - 3*i*z - 4*z**2 wrt i?\nAnswer: 80*i**3*z**2 - 78*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278003 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqygxgaggxdxg. Give prob of picking 1 q and 2 g.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-6 - (-20 - 3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221020121 + -2011?\nAnswer: -1221022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*9\/(-150)*53610\/35740.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:51 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 13. Let w = 11.295 + -8.29. Let c = v - w. Round c to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-9) - ((-2)\/(-9))\/((-16)\/(-432))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10220 + -10196. Solve 32 = 7*t - r for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 152696\nAnswer: -23\/152696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - u + 71772985 - 71772985.\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.009 * 0.45\nAnswer: -0.00405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -6*l + 2*l - 5*k + 52, -2*l - 4*k + 28 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from tpptpppppppptpttppp.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18134.2 - -18134. Put 1\/3, -1\/16, 31, -0.4, k in descending order.\nAnswer: 31, 1\/3, -1\/16, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1483)\/((-8 + 7\/1)*1) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5447\/64308 or 0?\nAnswer: 5447\/64308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473467 + 7*d**3 - 4*d**3 + 20*d**3 - 473467 + 48*d**3.\nAnswer: 71*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(12)\/(sqrt(24)\/sqrt(4))))\/((sqrt(294)\/(sqrt(7) - 3*sqrt(7)))\/sqrt(6)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100111101110110101100110 - -101?\nAnswer: 11100111101110110101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 197 - (-4)\/(-4 + 0). Let t = 100 - w. Let d = 170 + t. Round d to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/13 + 53\/65. Let m = 7357 + -7359. Let g = 3.03 - 0.03. What is the smallest value in m, g, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -523 - 931 + 4660*m + 4659*m + 4656*m - 13973*m to the form c*m + t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 9 + -12 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7786 + -7131. Calculate the remainder when y is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -0.5, 2\/7, 1\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267\/26 - -64073\/6214. Let w = -1385\/4541 + a. Which is smaller: 2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w\/(w**6*w*w*w)))\/w*(w**4*w)\/w)\/(w**(-1\/3)\/w*(w\/(w*w\/(w\/(w\/(w\/w**(-2\/5))))*w))\/w)*(w*w*w**(-5)*w**3)\/(w**1)**(-12\/13) assuming w is positive.\nAnswer: w**(2702\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -62. Suppose 10 = -2*q, -x*q + 3 = 3*f - 27. What is the remainder when 89 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.99 + 0.51. Let g = h - 37. Let n = -2\/15 - 4\/15. What is the second biggest value in n, 2\/19, g?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51.67 - 4.37. Let r = f - 48. What is the closest to 1 in r, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44880344 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1003 + 9*x**2 - 3078 + 1017 - 2*x + 1024. Suppose -8*m = -3*m - q + 25, -4*m - 2*q - 20 = 0. What are the prime factors of l(m)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0*n - 4*a, 30 = 5*n - 5*a. Suppose -n*f - 190 = -3*b - f, f + 5 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1366932, -2733917, -4100908, -5467905, -6834908, -8201917?\nAnswer: -9568932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = -16*a + a + 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 848 and 42108.\nAnswer: 8926896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 65*h**2 - 40*h. Let y(w) = 22*w**2 - 13*w. Let r(d) = -3*a(d) + 10*y(d). Suppose r(v) = 0. Calculate v.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(99) + -2)*-4 - (2*(-1 + sqrt(176)) + (sqrt(176) - (5 + (sqrt(176) + 1 + sqrt(176) - sqrt(176)))))*5)**2.\nAnswer: -5120*sqrt(11) + 46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/81 (b) -0.68 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0060387561 rounded to six decimal places?\nAnswer: -0.006039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, p: 2}. Give prob of sequence pd.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5818 + -211?\nAnswer: 5607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*w - 142*w = -292*w - 1908 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t**2. Let c(l) = 3029*l**2. What is r(c(u))?\nAnswer: 201846502*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by 164?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 + -188. Calculate the remainder when 83 is divided by (0 - -1)\/((-1464)\/184 + b).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:16 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((((o**(-11)*o)\/o)\/o)\/o)\/o)*o**(-2\/107))\/(o**(3\/13)*o)**(-50) assuming o is positive.\nAnswer: o**(106439\/1391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (136 + -134)*(-2 + 3). Suppose 0 = 4*k - 2 - 6. Solve p*c + 3 = -5*x - k, x + 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/(-12) + (-2)\/6. Let v = 4.32 - 4.52. Let y be 918\/(-135) - 7\/(-1). What is the closest to v in -0.2, y, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134110795 by -13.\nAnswer: 10316215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/5 - 121\/((-4840)\/42). What is d in -3\/8*d + w*d**2 + 0 = 0?\nAnswer: 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383410 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 + -43 - 46) + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4553.58 + -4553.58. Let q = 3 + -8. What is the nearest to u in q, -0.5, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 22*k**2 + 4. List the prime factors of w(-2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 divided by 235?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*w = -619, 4*p - 38 = 2*w - 868. Let y = -140 - p. Calculate the remainder when y is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/(a*a\/(a*a**(4\/7))))\/(a**(-2\/3))**(3\/5)*((a\/(a*a**(-2\/27)))\/(a**(-3\/2)*a))**35 assuming a is positive.\nAnswer: a**(28471\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*c**2*j + 344193*c**2*p + 766*c**2 + 2*c*j - c - 16*j*p + 4*j wrt p.\nAnswer: 344193*c**2 - 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 81 + (1 - 11) - -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 3 + 5 + (24 - (69 - -9)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(44))**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 smaller than -21722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - h + 4*h + (10*h + 315 - 315)*(0 + 3 - 4).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 272 + -277. Which is smaller: 2\/41 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539))*1 - -5*(1 + (sqrt(76) + sqrt(19) - sqrt(19))).\nAnswer: 4 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(11))*4)**2.\nAnswer: 64*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 696077503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18430*k**3 - 1857*k + 51988140 with respect to k.\nAnswer: 55290*k**2 - 1857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.35 and -172200125?\nAnswer: 172200112.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3378 - 3224. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501314095?\nAnswer: 5, 103, 2915173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7)*(9\/(-2))\/(-9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 4*w**2 - 2*w**2)*(148*w**2 + 2*w**3 - 148*w**2 + 453*w).\nAnswer: 2*w**5 + 453*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and -1*10*(-71 + 2).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/163676 and -121\/3486.\nAnswer: 3437196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4*o**(-2)*o**(-2\/9)*o*o**(1\/2)\/o*(o**(1\/4))**(-10\/3)\/((o*o**0*o*o)\/o*o)**42 assuming o is positive.\nAnswer: o**(-1121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 6*h**2 + h - 3. Let a be o(6). Suppose u + a*s - 76 = -u, 5*s = -2*u + 68. Calculate the remainder when u is divided by 23 + 0\/(4 + 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 36*f**4 + 4*f**3 - 4*f**2 - f - 4. Let x(w) = w**4 + w**3 - w**2 - w - 1. Let m(u) = k(u) - 4*x(u). Find the second derivative of m(v) wrt v.\nAnswer: 384*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 66?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*x + 3 = -3, 0 = -5*x - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y. Let f(q) = -621*q + 81. Let k(b) = 31*b - 4. Suppose 15 = -r + 11. Let o(c) = r*f(c) - 81*k(c). Calculate o(d(g)).\nAnswer: -108*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709\/51 + 6\/(-51) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 251*k**4\/4 + k**3\/3 + 13*k**2\/2 - 13*k + 179. What is the second derivative of s(d) wrt d?\nAnswer: 1506*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-7)*2 - (-198 + 188)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-14))\/(1\/10). Let r = -1888 + 1900. Solve -s + 19 = b*v, 4 - r = -5*s + 4*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/2, 3333.18, -2\/15.\nAnswer: -5, -2\/15, 1\/2, 3333.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*y + 2, -4*y - 4*g - 8 = -3*y. Let q(a) be the second derivative of y*a**2 + 2\/3*a**3 + a + 0. Let u(s) = -s**2. Give q(u(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 41*y - 412. Give p(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))**26)**(2\/39)*((p**(1\/3))**(-33))**47 assuming p is positive.\nAnswer: p**(-517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09 + 7.91. Let q = -12 + s. Sort q, -0.2, 0.3 in descending order.\nAnswer: 0.3, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000472552 to six dps.\nAnswer: -0.000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/32*6\/(-9). Let r(m) be the second derivative of 0*m**3 + 0*m**5 + 9*m + 0 + 0*m**2 - d*m**4 + 1\/30*m**6. Find the third derivative of r(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 - 131*j**2 - 8. Let z(o) = o**3 - 44*o**2 - 3. Determine -3*t(a) + 8*z(a).\nAnswer: -a**3 + 41*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17619421.\nAnswer: 17619421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 691836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 183517.\nAnswer: -367034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.67 + 0.57. What is the nearest to 1 in 1, c, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2. Let r(u) = 53448*u**2. What is b(r(l))?\nAnswer: 2856688704*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h*((h*h*h*h**(-1\/7))\/h)\/h*h))\/h*h)\/(h\/((h*(h*h**(-6))\/h)\/h))*(h**8)**(7\/6))**(-11\/5) assuming h is positive.\nAnswer: h**(-341\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45205 is divided by 2105.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1396985640357 and 0.2?\nAnswer: 1396985640357.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4*r + 24, 5*r = -2*k + k. What is the smallest value in -2\/15, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1416609, 1416923, 1417237?\n\"Answer: 314*o + 1416295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-2)\/3)\/(23\/138)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -43, 24, 129, 278, 477, 732, 1049?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2, -20, -4, -1536, 1 in descending order.\nAnswer: 1, 1\/6, -2, -4, -20, -1536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.8. Let r = -25 + 22. Which is the nearest to s? (a) r (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 17 - 19. Solve -1 = h + s - 2*s, b*s - 13 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27715, 27914, 28101, 28276, 28439?\nAnswer: 28590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-4)))\/z*z**(-8)\/z*z)\/(z**(-2\/5)\/z)**(-17\/4))**(1\/12) assuming z is positive.\nAnswer: z**(-73\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 151*p. Let f(a) be the first derivative of -a**5\/60 + 38*a**2 - 59. Let d(j) be the second derivative of f(j). Calculate d(c(q)).\nAnswer: -22801*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 994*w**2. Let r(t) = -5298*t. What is r(v(h))?\nAnswer: -5266212*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 180. What is the highest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -2)*(-10)\/(-15). Let p(k) = -17 + s*k - 6*k - 9*k - k**3 - 16*k**2. Is p(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 19*a - 22. Determine i(9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78, 1930, 6950, 16722, 32830?\n\"Answer: 264*t**3 + 4*t - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*t + 56*t - 5*o + 578 = 0, -1188 = -4*t - 2*o. Suppose -3*z + 6 = -3. Suppose 4*r - t = 2*r + z*b, 2*b = -2. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 362 = -2*g, -4*j + 5*j + 3*g = 75. Let w = j + -37. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518 and 1974.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/2520 + j**6\/72 - j**5\/120 - j**4\/24 + 3*j**2. Let n(w) be the second derivative of v(w). Is n(8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(969\/(-36))*(-32)\/48.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(432) + (2*sqrt(432) - sqrt(432))*6) - (-6*(sqrt(432) - -3*(1 + sqrt(432)) - sqrt(432)))**2).\nAnswer: -701460 - 38460*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/h**(-2\/15)))\/h)\/(h\/(h**(-2\/13)\/h)))\/(h*h\/(h**(4\/5)\/h)*(h**6\/h)\/h) assuming h is positive.\nAnswer: h**(-409\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -21. Let b = 18.8 - w. What is the closest to b in -1, 0.2, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41353 divided by -9?\nAnswer: -41353\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 29*q**2 + 11*q**2.\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + 11 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100949738?\nAnswer: 2, 50474869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 15 = -16*m. Suppose -11*k + 2690 = -6*k - 3*d, m*d + 516 = k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-5 - -8) - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert d7 (base 14) to base 5.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 8:20 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15093, 15091, 15087, 15081?\nAnswer: 15073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -6*q + 5*a - 9, -5*a + 33 = 2*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from iwwwiiwwwiw?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**6\/50 + 3*l**5\/20 + 3*l**4\/10 - 2*l**3\/5 - 12*l**2\/5 + 2*l. Solve s(b) = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:38 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c**2*c)\/c)\/c)\/c**(-2))\/(c**(3\/2))**(-19))**(-8\/3) assuming c is positive.\nAnswer: c**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*y*y)\/(y*y**(-5)\/y*y*y*y*y)*(y**0)**(11\/6)*(y**(-1\/13)*y**5)\/(y**(-1\/2))**(-33) assuming y is positive.\nAnswer: y**(-1141\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 25*y + 138. Let w be u(8). Solve -2*v + 12 = w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -8. Suppose y*f + 80 = f. Let g be (-2)\/(-10) - (-4)\/f. Which is the closest to g? (a) 1 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -58*i + 377. Let l(m) be the second derivative of i*m + 0*m**2 + 17\/12*m**4 + 0 - m**3. What is the second derivative of l(u) wrt u?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 9*r**2 - r + 12. Let f(b) = 11*b + 13. Let n be f(8). Suppose 10*q - n = -11. Give w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2117, 2, 32, 4\/7, 0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6662.549km in nanometers?\nAnswer: 6662549000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 695 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17074, -33044, -49016, -64990, -80966?\nAnswer: -96944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 12 in increasing order.\nAnswer: -5, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 + 14*q - 2. Let z be d(-7). Let v be 10 - (-3)\/(z + -1). Suppose 18 = r - 10. Solve -11 = -3*p + w - r, 0 = p - w + v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19008 by -99.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 14. Let z be c(6). Let d be 340\/7 - z\/14. Suppose -8*x = 9*x - 272. What is the greatest common factor of x and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = 8. Let t be 4 - (w\/(-2))\/1. Is ((-16)\/12)\/t*-219 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/(-45))\/(5\/(-2))*13*10\/195?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/43 - -3262\/129. Let j = -1\/2762 - -49028\/6905. Find the common denominator of f and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -4\/9 (c) 0 (d) -1 (e) 1\/1912\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 6*z + 1. Let i be g(6). Let h be (-2)\/(-10) - i\/5. Is h > 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.5 + -12. What is the nearest to -1 in u, -2\/9, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*x + 439 - 60 = -t, -20 = 2*x + 2*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 = -136*s + 244 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from smpsmjssppj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o**2 - 40*o + 22. Let v be g(18). Suppose 45*l = 32*l + v. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84131 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271.588555 rounded to the nearest 10?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - 0) - (-22 - (34 - 62))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**7\/42 - n**3\/2 - 9*n**2. What is the derivative of v(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1617453 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50279 + 48*n - 50279.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*l*m**2*s**3 + l*m**2 + 2*l*m*s**2 - 651*l*s**3 - 63*m**2*s**3 - 7*m*s**3 wrt m.\nAnswer: -40*l*s**3 + 2*l - 126*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/27 and -55\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15282864 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -7307 in descending order.\nAnswer: 13, 3, -7307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 6 - (4 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 5*j + 989*j**2 - 987*j**2.\nAnswer: 2*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*v + 100 - 417, 139 = -2*b + 5*v. Suppose 4*h + 4*y + 638 + 218 = 0, -4*h - y = 859. Let u = b - h. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 30. Suppose 547 = -t - h*o + 4*o, -5*o + 1676 = -3*t. Let u = t + 944. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15502?\nAnswer: 2, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -88 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b - b**5 + (52*b + 112*b + 19*b)*(-2*b**4 + 6*b**4 - 2*b**4).\nAnswer: 365*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.31, -0.1, 13 in decreasing order.\nAnswer: 13, 0.4, -0.1, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*u + 5*o, -4*o - 27 = 3*u - 0*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:10 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4240 = 25277*c - 25330*c. What is the greatest common divisor of c and 550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 102bd - 2?\nAnswer: 102bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.8 + -4.6. Let x = m - 0.2. Let t = 3.948 - x. What is t rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 110, -1\/4, -14, 284, -3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*g - 60. Let m = g - 33. Suppose 0*n - m*n = -450. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54 - 40)*2\/(-7). Let f(q) = -5*q**3 + 2*q**2 + 3*q + 5. Let a(n) = 9*n**3 - 3*n**2 - 6*n - 9. What is j*a(s) - 7*f(s)?\nAnswer: -s**3 - 2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 498.3285 and 0.02516.\nAnswer: 498.35366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 250417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2593 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6)\/(-1) - (-220)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Let w = 4 - p. Let u = -1.5 - -1.1. Which is the nearest to w? (a) -3 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 5. Let h be -2 - (2\/1 + (-160)\/20). Let f(m) = -68 + 36 + 36 + h*m. Give -5*f(q) + 4*u(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16345, 16663, 17005, 17371, 17761, 18175?\nAnswer: 18613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/a**18))\/a)\/a*a**(-2\/55))**21 assuming a is positive.\nAnswer: a**(19593\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in 3, -5, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let t = 4.1 - 0.1. Let w = 37 + -113\/3. What is the third smallest value in w, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m. Let g(d) be the first derivative of -25*d**2\/2 + 69. Calculate g(b(k)).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 639, 0.2, -0.4, -7\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*6*(-7)\/(-63)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39068 - -81338. Round f to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6 = -2*p, -89*p + 87*p - 5*a + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16161 divided by 86.\nAnswer: -16161\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Suppose -3*l - 2 - 7 = 0, -p*l = 2*n - 18. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 4*o - 48, -5*o = -156*x + 158*x - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 21.8. Let u = -2 - -2.5. Let o = g + u. Sort o, 0.3, -0.5 in increasing order.\nAnswer: -0.5, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzse. What is prob of picking 1 z and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1676 + 4506*x**3 + 1676.\nAnswer: 4506*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3202*g**3 + 536*g**3 - 677*g**3.\nAnswer: 3061*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0399415041 + -0.2.\nAnswer: -0.2399415041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -494a (base 16) to base 10\nAnswer: -18762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.34 (b) -0.3 (c) -5 (d) -714 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8432 - -8435. Which is the second biggest value? (a) -4 (b) -1\/2 (c) 1\/7 (d) s (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 5. Let d be (-3)\/(-4)*(-5840)\/(-30). Let x = 148 - d. Which is the second smallest value? (a) i (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130295 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/(m\/(m*m**(-21))*m))\/(m**(-9)*m*m**(-1\/9)) assuming m is positive.\nAnswer: m**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -53*y**2 + 74*y - 107. Let a(u) = -33*u**2 + 49*u - 71. Let w(s) = -8*a(s) + 5*h(s). Determine w(-25).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1341*z - 66314 = -440*z - 9551 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -27767 (b) -1\/5 (c) -3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10193*m = 10121*m - 573 + 141. Let r(x) = 20*x**2 + 10*x + 6. Let c(p) = -7*p**2 - 3*p - 2. Let b(i) = 17*c(i) + 6*r(i). What is b(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 17}. What is prob of picking 1 t and 3 q?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 409*y - 817. Let n be w(2). Which is greater: n or -2\/4035?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 + 3.68. What is u rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2336 and 91396.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 138923824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13529*j**3*r**2*t - 4*j**3*t + 8*j*r**2 - 1523*j*t wrt r.\nAnswer: 27058*j**3*r*t + 16*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, -135, -445, -879, -1437?\n\"Answer: -62*r**2 + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4*h - 1 + (1 + 1 + 0)*(-4*h + h + 0*h))*(126 + 138 - 240) to the form w*h + b and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141925\/3 - 47308. What is the smallest value in 0.9, -2, -1\/4, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71430 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9935\/8477 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, -3, 24 in ascending order.\nAnswer: -3, 0, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 3*h. Let x be m(5). Suppose -3*w + 5 + x = 0. Let n be (20\/(-12))\/w*-24. What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27948347*a**6 + 56472*a**2 - 189 wrt a.\nAnswer: 3353801640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 - 84*l - 173. Calculate f(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 62, 0.2.\nAnswer: -8, 0.2, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (2 + 16\/(-7))*7. Sort 109, 1, t.\nAnswer: 1, t, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 123, 244, 369, 498, 631, 768?\n\"Answer: 2*z**2 + 115*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q - 314. Determine v(38).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4*h - 6*h + (0 - 1 - 1)*(-h - 200 + 200) + (-2*h - 2 + 2)*(0 + 0 - 1))*(0*h + 0*h - 5*h).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 2*x**2 + 5*x + 1. Let h be i(-5). Let z = h - 81. List the prime factors of z.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -56, -82, -106, -128, -148, -166?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -65. Solve -x = 2*c + l, -3*x - 4*c - 2 = -2*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -15 + 18 + 0 + 32 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2.01. Let g = -0.07 + l. Let o = -5.08 - g. Put o, 0.5, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + (-19)\/38. Suppose 0*z + z + 5500 = g. What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1078 and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 11*k**2 - 4*k - 48. Let j be d(-11). Sort -215, -2\/13, -5, j, -1 in ascending order.\nAnswer: -215, -5, j, -1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2024250 and 4170?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmcmcccccmccccc. Give prob of picking 2 c.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 542960.9 millilitres?\nAnswer: 542.9609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. Let s(o) = 7*o - 52. What is the remainder when n is divided by s(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 924236652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 5*b = 14*x - 10, 4*x = -5*b + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:59 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**4)\/(m*m**(-4)*m)*(m\/(m*m*((m*m**(1\/3))\/m)\/m))**(-3\/2))**(-1\/10) assuming m is positive.\nAnswer: m**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26880 = 340750*p - 340470*p for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from lllttttltlltl?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2542, -2549, -2556?\n\"Answer: -7*c - 2535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3619.\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 41\/(-3*(-1)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36536.1 + 36536. Suppose 3*s + s = -4. What is the nearest to c in -15\/4, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 381.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1644 - -248346?\nAnswer: 246702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 5, -4, -19, -1, 11 in descending order.\nAnswer: 11, 5, 2, -1, -4, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914549 is divided by 221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - (-51)\/15. Which is the closest to -4? (a) 0.5 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 12\/23 (c) -16 (d) 36\/37 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 277034660*r**5*s**2 - r**4*s - 3*r**2*s**2 - 102246632*r*s**2 wrt r.\nAnswer: 16622079600*r**2*s**2 - 24*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 - 117*d**2 + 59*d + 122. Calculate s(-24).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*301\/168 - 5)*(-4)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2. Let z(h) = -2*h + 12528. What is z(u(a))?\nAnswer: 8*a**2 + 12528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640832.\nAnswer: 2, 3, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (38\/6 + 3)*3. Let w = l + -19. Let j = -953 - -956. What is the highest common divisor of j and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-140)*(-4)\/8*-20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230878 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 - -87. Let h be (82\/10 - 1) + 7\/(-35). What is the highest common factor of g and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11029103 - 0.1484?\nAnswer: 11029102.8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635298 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3595*q + 5071*q + 48708 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-329750)\/(-1875) - (-2)\/15 is divided by 170?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 6992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 11*b + 93330. Let i = 161 - b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 8*r + 6 = 0. Let h(s) be the third derivative of 31*s**5\/20 + s**4\/24 - s**3\/6 + 2*s**2. Is h(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850498497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 47, 92, 165, 272, 419, 612?\n\"Answer: z**3 + 5*z**2 + z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1076 + 171 + 223 + 313)*(0 + 0 + 2*l).\nAnswer: 3566*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*d = 12, 2*k - 4*d - d - 12 = 0. Let p(x) = 6 + 2*x**2 + 2*x - x**3 - 3 + 3*x**2 - x. Let t(o) = o**2. Let z(i) = -p(i) - t(i). What is z(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -40.2?\nAnswer: 723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by -4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*(-9)\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145\/48 + 14395\/4752. Find the common denominator of 1\/330 and m.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2595, -7413, -12243, -17091, -21963, -26865?\n\"Answer: -c**3 - 4811*c + 2217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 4*y**2 - y + 9. Let x = -5 + 12. Is m(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 8)\/3 - -2. Let n(j) = -j + j + j**2 + 2*j. Calculate n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -495, -980, -1453, -1914, -2363?\n\"Answer: 6*m**2 - 503*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-9)*d**(-16)*((d*d**(-4\/11))\/d)**(-13))**10 assuming d is positive.\nAnswer: d**(-140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*-4)\/((sqrt(5) - (sqrt(5) + sqrt(245)*6)) + sqrt(5) + sqrt(5)).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111.4 + 112.4. Which is the nearest to r? (a) -2 (b) 0.4 (c) -0.7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4133 and 1.\nAnswer: -0.4133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53468534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -748846736 divided by -2984.\nAnswer: 250954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 57b91475?\nAnswer: -57b91473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-65) - ((-1810)\/130 + 13))\/(1\/(-9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 3288*c - 647*c - 11 + 2 + 3045*c in the form o + x*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -2139\nAnswer: 427.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10132955377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 1, i: 2, z: 2, o: 1, x: 1}. What is prob of sequence izlz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -875*h + 8 + 1771*h - 851*h to n + v*h and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdzzvfw. What is prob of picking 1 f, 1 w, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/12 - 2*z**3 - 21*z**2. Suppose -4*s + 32 = -4. List the prime factors of q(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1. Let m(l) = -l**2 + 2*l + 6. Determine -m(u) - 3*z(u).\nAnswer: u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:18 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -11, 45, -2 in decreasing order.\nAnswer: 45, 4, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 4*q. Suppose 3*i = 1 + 14. What is the units digit of c(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 2086558200800 - 2086558200800.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000355642 rounded to six dps?\nAnswer: 0.000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 4*g. Let k(y) = 12*y**2 - 48*y - 6. Let l(f) = -2*k(f) - 28*q(f). Suppose l(c) = 0. Calculate c.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*y - 5*r, 0 = -3*y - 2*y + r + 7. Let t(z) = z**2 + 5*z - 3. Let g be t(-7). Solve -y*a + a + g = 3*v, 0 = -v + 5*a - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00149863 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -422*t**5 - 68*t**2 - t wrt t.\nAnswer: -25320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let m be (3\/(-1))\/(45\/(-6)). Let z(o) = o + 5. Let d be z(-4). What is the second biggest value in m, r, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:05 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539487, -1078969, -1618449, -2157927, -2697403, -3236877?\nAnswer: -3776349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 40135*l**3 + 3*l**2 - 4*l + 2. Let q be y(1). Suppose -11*r = 18*r - q. What are the prime factors of r?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 41. What is the remainder when 89 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/67982209 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 116.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -254, -277, -336, -449, -634?\n\"Answer: -3*x**3 - 2*x - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34469.\nAnswer: 34469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -g + 1162, 4*t = -3*g - 2*g + 5752. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrn when three letters picked without replacement from nrrrrnh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.034 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(108) + -1 - sqrt(108)) - (sqrt(3) + (sqrt(42)\/sqrt(2))\/sqrt(7) + (sqrt(363)*-1 - sqrt(363)))) + 2 + sqrt(108) + 4 + sqrt(108) + -2 + 5)**2.\nAnswer: 768*sqrt(3) + 3216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351370571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*u - 22, 0 = u - 2*u - 3*z + 18. Suppose -38*x + 36*x = -u. Solve 5*y = -b - 15, -5*b + x*y = 5*y + 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 193. Let x be 2\/2 - w\/(-99). Let s = 0 - 5. Which is the third smallest value? (a) s (b) x (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5 + 14660*j**4 - 13826472*j**3 + 717373064*j**2 - 512165140*j - 43514181900 = 0.\nAnswer: -7, 9, 53, 1805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545911472.\nAnswer: 2, 34119467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 19 + 5*w**4 - 22*w**4 - 6*w**4 with respect to w.\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125928 and 5469552?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmmdm. Give prob of picking 1 m and 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*m**3 + 635*m**2?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 286 - 862\/3. Which is the second biggest value? (a) 4 (b) -3 (c) -2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 35*r + 20*r - 116*r + 2 in the form c + a*r and give a.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73470, -146942, -220414, -293886, -367358?\nAnswer: -440830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 18767 = 16*t + 5*r, -4*t + 25034 = r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12008, -11998, -11988, -11978, -11968, -11958?\nAnswer: -11948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, 29, 1 in ascending order.\nAnswer: -4, 1, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142*s**4 - 71*s**4 - 74*s**4 + 2*s + (0*s**4 - s**4 + 0*s**4)*(-1 + 2 + 1) - 2*s**4 + 0 + 0.\nAnswer: -7*s**4 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655957, -2623881, -5903753, -10495573?\nAnswer: -16399341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 2*n - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-175)\/10*(-2 + (1 - 1)). Suppose -4*i + f = 3*d - 0*i, -3*d = -3*i. What is the remainder when 2 - (0 + 0 + -6) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8029454ml in litres?\nAnswer: 0.0008029454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -3.\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(21)\/sqrt(3) + 4)**2 + sqrt(7) - 5*(sqrt(7) + sqrt(63))) + 0).\nAnswer: -69 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.3 (b) -1\/4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 12 - i**2 - 5*i**3 + 9. Suppose 4 = 3*l + l. Let y(a) = -a**3 - a**2 - 1. What is l*r(x) - 3*y(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.2 (b) 0 (c) -1\/4 (d) -33.167 (e) -2\/7 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1149 + 1157. Which is greater: 1\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 131.32779 months?\nAnswer: 0.109439825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8818*v**2 + 8813*v**2 - 17630*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605000 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -98\/18853?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((22\/66)\/(2\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 280\/(-21)*((-21)\/12 + 1). Let h(w) = 6*w**2 - 6. Let l = 6 - 10. Let j be h(l). Calculate the highest common factor of y and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 3*k + 7. Suppose 5*o + v + 24 = o, 5*v + 18 = -3*o. Determine p(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-1 + d + 1) + 2*d - d - 4*d - 3*d - d - 2*d + 2*d + 0*d - d)*(4 - 2*d - 4).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 31*f - 133. What is p(-26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from llorv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/15*(-9)\/(378\/(-30)). Factor 3\/7 + 3\/7*k - 3\/7*k**2 - q*k**3.\nAnswer: -3*(k - 1)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 96\/(-160) - 16\/(-10). Which is greater: -13\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:40 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = -6*v - 2776 + 2926 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24192251 is divided by 205.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - -5. Let d = p - -2.9. What is d rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -85*i**3 + 12*i**2 + 2*i + 26. Let f(v) = 86*v**3 - 13*v**2 - 2*v - 28. Calculate -12*f(w) - 13*t(w).\nAnswer: 73*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -452 + 992. Round m to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((-54)\/14)\/3. What is the closest to 2\/3 in 1\/5, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 times 553525?\nAnswer: -9409.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 5\/3, -2\/5, -554, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -65.23. Let l = q + 0.7. Round l to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132388723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -7. Let y(s) = -s - 11. Let d be y(u). Solve -25 = -5*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p + 0)*(-3 + 0 + 1)*(-80 + 90 + 49).\nAnswer: 236*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 5*h**2 + 4*h - 8. Let g be d(-6). Suppose -36 - 84 = -g*q. Let n be 8 - 7 - 34\/q. What is the third biggest value in 1\/3, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*z + 2*z + 8, 2*y - 48 = -4*z. Let g(h) = -6*h + 3 - y + 0. Is g(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 2611.\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 94. Suppose l = s - 11 - 5. Calculate the highest common factor of 112 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, c: 2}. Give prob of picking 2 t and 2 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6*-3*(-15)\/(-165) and 25\/338?\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 144*v.\nAnswer: 2*v*(v - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 6113, 5 in increasing order.\nAnswer: 5, 17, 6113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -43.69. Let q = v - 0.31. What is the nearest to q in 2\/3, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4089823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2640\/30)\/(-440))\/(10\/(-2)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-12))\/(-21)*21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2172198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 1, -1\/2, -4\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15484787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -0.1. Let m = -0.09 + -0.73. Let l = m + d. Round l to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-525))\/(2\/7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-15)\/10)*-1. Which is the biggest value? (a) k (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v = 8. Let k = -90 - -95. Let d be 2\/1 - -6 - 2. Sort k, d, v in ascending order.\nAnswer: v, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 + 347 - (3 + (-2 - 67))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 8*a - 13. Let l be z(4). Let j(b) = -23*b**2. Let v(u) = -8*u**2. Determine l*j(d) - 8*v(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 (base 10) in base 7?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 9446760.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 4*u**2 - u - 4. Let w be b(3). Suppose 6 = 3*f, g + w*g = -4*f + 86. Let v be (-4)\/(-10) + g\/10. Solve -v*d - d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuunnunnnuunuunnn. Give prob of sequence nuun.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 345840.2 centuries?\nAnswer: 415008240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 4*t + 4. Let j(k) = 4*k**2 + 5*k + 5. Let x(z) = -5*g(z) + 4*j(z). Let v(q) = 163*q**2 + 4 - 4 - 166*q**2. Determine v(x(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = j - 3*j + 4*s, -18*j + 13*j = -7*j + 2*s - 34 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + r + 1 = -10, -4*r = 5*a + 16. What is the smallest value in a, -1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(91) - (sqrt(91) - (sqrt(91) + (sqrt(91) - 2*sqrt(91)) - sqrt(91)))) + sqrt(91)) + sqrt(91) + -3*sqrt(91)*4)\/(3*sqrt(378)\/sqrt(24)).\nAnswer: -22*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1963 + -6.8037. Sort 1\/2, 1, u, -114 in descending order.\nAnswer: 1, 1\/2, u, -114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77.88425 years?\nAnswer: 7.788425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431.5 + -353. Let t = y - 78.5017. Round t to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/459 (b) -1\/4 (c) 1\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -436, -649, -1004, -1501, -2140, -2921, -3844?\n\"Answer: -71*p**2 - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467 a factor of 50589495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 10) + -17 + 2 - (4 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(14\/(-210)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2352735 divided by -693.\nAnswer: 3395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-4))*(-28)\/(-70)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 27. What is y(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6250103 (base 10) to base 9.\nAnswer: -12675468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)\/sqrt(4) - (sqrt(176) + 2*sqrt(176) - sqrt(11)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1\/2 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45, 253, 803, 1857, 3577, 6125, 9663?\n\"Answer: 27*i**3 + 9*i**2 - 8*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57818810.\nAnswer: 2, 5, 7, 825983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnw when three letters picked without replacement from {w: 5, n: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198667631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r, -x - 2*r - 1 = -4. Let b(m) be the third derivative of -m**6\/120 + 2*m**5\/15 + 5*m**4\/12 - 3*m**3\/2 - 18*m**2. What is b(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43965, -85141, -126307, -167457, -208585?\nAnswer: -249685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, e: 1, o: 1, m: 11}. What is prob of sequence zzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.253963 minutes in weeks?\nAnswer: 0.00528313125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8442494.\nAnswer: 2, 4221247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11544152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 127*o**2 - 140*o - 121. Does 13 divide i(125)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**3 + 5*o**2 - 5. Let j(a) be the second derivative of -a**5\/20 + a**4\/12 - a**2\/2 + 56*a + 1. Let u = -344 + 346. Give u*q(h) - 11*j(h).\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1538303.\nAnswer: 4614909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23716 at least 735175\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*z**3 + 32807*l**3*z**2 + 3*l**3*z + 798*l**2*z**3 + 1033*l*z**3 wrt l?\nAnswer: -12*z**3 + 196842*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - n - 20 = 0, 94*n = 3*a + 99*n + 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151061.\nAnswer: 29, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 366, 886, 1546, 2346, 3286, 4366?\n\"Answer: 70*p**2 + 310*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Let l(m) = m**2 + 2. Is l(d) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*n + 27 - 6 = 0, -4*n = 5*d + 18. Let f(h) = -8*h - h + 0*h - h**2 - 2 + 3*h. Calculate f(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6273\/7751 + -28686896\/6704615. Let x = i - -12\/173. Find the common denominator of x and -47\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/((q**(-18)*q*q)\/q))**(-1\/19) assuming q is positive.\nAnswer: q**(-13\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 79*k**2 - 937*k - 141. Give r(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -25. Let q be ((-6)\/8)\/(u\/(-6)). What is the nearest to 1\/4 in -1\/5, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*c = -725 - 453 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(847) - (sqrt(847) + 0))*4 + (5*-3*sqrt(847) + 5)**2 + 3).\nAnswer: -1650*sqrt(7) + 190603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 930\/80 - 10 - 3\/(-8). Let c(g) = g**2 - 1. Let o be c(2). Let d(h) = 96*h - o*h**x - 96*h. Let y(t) = -3*t**2. Calculate y(d(v)).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a - 37. Let t be w(-21). Let j = -45 + t. Solve -j*r = -3*g + 5, -4*g - 3*r + 10 = -4*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*0\/1. Let j(f) = -f**3 - f**2 + 17. Let i be j(x). What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183506778 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/540 and 77\/459.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 9 - 4 - 4 + 45*k**2 to the form s*k**2 + l*k + c and give s.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.609 + 3.679. Let a = p + -3.3. Let y = a - -0.22999974. Round y to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -81*g**2. Let h(n) = 24841*n - 24841*n + 2*n**2. Determine h(k(a)).\nAnswer: 13122*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287.85 - -288.25. Which is the fifth biggest value? (a) 0.67 (b) 0.2 (c) f (d) -0.4 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/2 + 18203*c**2\/2 + 317817*c - 2234664 = 0. What is c?\nAnswer: -18168, -41, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 9*y - 4. Let v be x(9). Let g be (6\/v + -1)*(-3 + -3). Solve j + g = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(1782\/9)*4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2020808, 2020810, 2020806, 2020796?\n\"Answer: -3*a**2 + 11*a + 2020800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356583 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2966, -7, 4.\nAnswer: -2966, -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -27?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67800.24 minutes in days?\nAnswer: 47.0835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004382 rounded to 6 dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 10*k**2 - 2*k + 3. What is the tens digit of y(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 6 - 77*k**2 + 78*k**2 - 3*k. Give x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 231?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -962 - -1439. What are the prime factors of s?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -284, -828, -1892, -3650, -6276, -9944, -14828?\nAnswer: -21102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5496.999995608 - 5497. What is n rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 18*f\/7 - 16\/7.\nAnswer: -2*(f - 8)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4838\/(-1551996)*289998\/660. Let f = -1\/172444 - z. Let v = -2\/55 + f. Is v < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -k - 3*k. Let z = -5 - k. Suppose -p = 4*j - 2*j - 1, 7 = -z*p + 5*j. Put 0, 5, p in descending order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005786 rounded to 5 decimal places?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 4*t + 2. Suppose 6 = -m - 2*m. Let j(k) = k**2 + 4*k - 8. Calculate the remainder when u(m) is divided by j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724 bigger than 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2)\/(-4)) - 12. Let w(t) = 2*t + 4. Let y(j) = 3*j + 4. Let m(h) = 4*w(h) - 3*y(h). What is the remainder when 51 is divided by m(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 137 + 4 = -5*c, 3*d - 120 = 3*c. Let t = d - 58. Let w = 52 + t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161 - -150) + (1 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-14 - -3) + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-18))\/(1\/3). Let n be (-5)\/((-5)\/2) - -3. Let b be (-1)\/n*(-15)\/(-12). What is the third smallest value in m, -2\/3, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242 + 965\/4. Which is the smallest value? (a) 0.5 (b) -5\/6 (c) 2.2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-9)*(3 + -6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 135660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 0, -11 in decreasing order.\nAnswer: 0, -3, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 3*x + 4*x**2 + 3 - 2*x + 2*x. What is the units digit of s(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/(-6)*(-50 + 6014\/124).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3623?\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, c: 15}. Give prob of sequence fffc.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -24506*g - 220629. What is w(-9)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**2\/2 + 6*z - 11. What is k(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - c**2 - 3 - 8 + 8 to the form u*c + y*c**2 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 2\/9, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20857536.\nAnswer: 2, 3, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 - 2 = -q, -b + 3 = 2*q. Which is bigger: 2\/2495 or b?\nAnswer: 2\/2495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000101000000110 (base 2) in base 9?\nAnswer: 1871805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3566, 7146, 10736, 14330, 17922?\n\"Answer: -q**3 + 11*q**2 + 3554*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.84 - -61.16. Let b = 62.6 - p. Put 5, b, -0.2 in ascending order.\nAnswer: b, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -499 + 828. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3552 and 12876?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -75. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-5) - (-2)\/(-5). Suppose l*y - 74 = 242. Suppose 53 = 3*s + 19*j - 20*j, -j = 2*s - 47. What is the remainder when y is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t - 3*t + 3*t + (-1 + 1 - 1)*(-3*t + t + 3*t) - t + 2*t + t + (-4 + 4 + 2)*(-t - t + 4*t) + 2*t - 5*t + t to n + l*t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -56*t**3 - 4*t**2 - 21*t - 36. Let c be p(-6). Let o = c - 433481\/36. Find the common denominator of o and (-393)\/(-10)*(-5)\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + 2*(sqrt(68)*1 + 4).\nAnswer: 4*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**2*i**3*q**3 - a**2*i**3*q**2 + a**2*i**3*q - 843*a**2*i**2*q**3 + 4*a**2*i**2 - a*i**3*q**2 + 34*a*i**3*q wrt q?\nAnswer: 18*a**2*i**3 - 5058*a**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -520 != -513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 + 5*q**2 - 81*q**2 + 26*q**2 + 2*q**3 + 27*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.6419857 microseconds?\nAnswer: 0.000000044033095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/((-97)\/(-97)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.108+-5496\nAnswer: -5495.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 h when four letters picked without replacement from rorropohphrohh.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 2*m**4 + 5*m**4)*(63*m + 39 - 39)*(-2 - 3 + 4).\nAnswer: -126*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 98974.92cm?\nAnswer: 0.9897492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -762*d**4 + 381*d**4 + 96 + 371*d**4 + 41*d wrt d?\nAnswer: -40*d**3 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -918113.58\nAnswer: -367245.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 smaller than -1.5448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41001 divided by -519?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sse when three letters picked without replacement from iiiessiiisieesiie?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 - 18*o to i*o + w and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204627*w + 204837*w = 6930 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -27. Let h = r + -15. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -b0d?\nAnswer: b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 2}. Give prob of sequence nn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 0.2 (b) -3 (c) 1\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/576*(-280)\/(-175)*1\/22.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2721 + -5?\nAnswer: -2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6)*u*u*u\/(u\/u**(-2\/9)))**(-45) assuming u is positive.\nAnswer: u**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29662640 rounded to the nearest one hundred thousand?\nAnswer: 29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 11. Let d = 12 - f. Suppose s - 2*j - 12 = 0, 4*s + 2 = 5*j + 38. Which is the second biggest value? (a) s (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21077, 4, 27, -2, 0 in increasing order.\nAnswer: -21077, -2, 0, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 27 = -3*p, p - 1 = 2*g - 12. Solve -5*j - 3*y + 113 = 84, -y = -g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let j be p(4). Let o(t) = 1 - t**2 + 4 - j - t + 4*t. Calculate o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6)*-254 + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4530290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-241)\/(17834\/12))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0 - 1 + 0 - 2*v + v. Let w(g) = -8*g - 2. Let x(p) = -8*p - 1. Let i(b) = -5*w(b) + 4*x(b). Give i(f) + 5*m(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109 + 119*v**2 + 110 + 125*v**2 to b + g*v**2 + z*v and give g.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k**4\/2 + 105*k**3\/4 + 237*k**2\/4 + 9*k\/2 = 0 for k.\nAnswer: -1, -3\/38, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165076 or 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -643, -648, -677, -742, -855, -1028?\nAnswer: -1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5287 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**31\/((t*t*t\/(t\/(t*(t**6*t)\/t*t)))\/t**(-1\/20)) assuming t is positive.\nAnswer: t**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26847, 56156, 105003, 173388, 261311, 368772, 495771?\nAnswer: 642308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*z - 9. Suppose 6*x - 2*x = z, -4*u + 68 = 4*x. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxxq when four letters picked without replacement from xpaaxaqxxp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwgwbgwgggqwqbgwg. Give prob of sequence whb.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-114)\/4 + 3\/6. Let v be (-20)\/w - 2\/(-7). Let u = -0.6 - -0.9. What is the second biggest value in u, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose 2*x = 4 + 4. Let o(d) = -d + 4. Let q be o(x). Solve -l*r - 5 + 2 = q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c - 511 + 2483 = 0. What is the remainder when c is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) 3\/5 (c) -1\/2 (d) -0.11 (e) 9778\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753393446?\nAnswer: 2, 13, 167, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749302119 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 4*z - 4. Suppose 2*p - 1 = -3. Let y(r) = 11*r**2 + r + 7. Let q(d) = -9*d**2 - d - 6. Let g(b) = 6*q(b) + 5*y(b). What is p*s(x) + 4*g(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905 = 270*t - 1255 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/20)\/((1 + 1)\/((-840)\/63))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - o + 3*o = -6, -17 = -3*p + 5*o. Suppose 5*r = -4*i + 2*i + 86, r - p*i = 26. What is the third derivative of 676 + 21*c**2 - 676 + r*c**3 wrt c?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 39649732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 613099*p**3 - 39185*p**2 - 2 wrt p?\nAnswer: 3678594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-10\/3))\/((x*x\/x**(1\/9)*x)\/x*x)*(x*(x\/x**(-2\/9))\/x*x)\/(x*(x**(-2\/9)*x)\/x) assuming x is positive.\nAnswer: x**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18*(4\/(-18))\/(-1). Let f(i) = 3*i - 3. Let z be f(2). Let s(y) = -4*y**3 - v*y**z + y**3 + 0*y**3 - 1. Calculate s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 + 193 = 9*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.4. Let z = l + 0.4. Let h = 2.2 + -2.3. Which is the second biggest value? (a) h (b) 3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 63252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x - 2*x)*(-76 - 4*x + 76).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3827000 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37830, -39879, -43286, -48045, -54150, -61595, -70374?\n\"Answer: p**3 - 685*p**2 - p - 37145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 21 - 3*h**2 + 2\/3*h**3 + 0*h. Suppose 5*g - 3*g - 18 = 5*j, -5*g + 3*j = -26. Calculate f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 21*o**2 - 13*o - 36. Determine t(20).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kky when three letters picked without replacement from {k: 6, m: 8, y: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 + -5b?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 9*m**2 - 10*m + 6. Let o be p(10). Let g be (-30)\/36*o\/(-20). Which is the closest to g? (a) 0.04 (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 56 - 186. Suppose -4*s + 10 = 4*g - 2*s, -5 = 4*g - s. Let k(p) = p**2 + 9. Calculate the remainder when m is divided by k(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 301, 1171, 2629, 4681, 7333, 10591, 14461, 18949?\n\"Answer: q**3 + 288*q**2 - q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j + 3*z - 20, -j + 5*z - 20 = 0. Suppose 1 = -j*q + 4*c - 1, 5*c - 11 = 2*q. Suppose q - 4 = -2*v. Are v and 1\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, -4*w - 232518 = -2*m + 4*m. Let f = -25112 - w. Suppose -3*y - f = -13665. Round y to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69031 times -0.2?\nAnswer: -13806.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of (-1 - 130\/15)\/(2\/(-114))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/60)\/(14\/168)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 6. Let y be w(-4). Calculate the remainder when -3 + 70\/(4 - (-4)\/y) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/3 - 2*b**2\/3 - 208*b\/3 - 224 = 0.\nAnswer: -7, -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102827*v**2 - 46277*v**2 - 137348*v**2.\nAnswer: -286452*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.661 + 2.461. What is the nearest to -0.2 in 3\/5, 27, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2\/3 + 104260*v\/3 + 104255\/3 = 0. Calculate v.\nAnswer: -20851, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + c = 3 - 26, 5*h - 3*c - 60 = 0. Suppose -4*n = -h - 7. Let r be 4\/(-4)*18*(-29)\/174. Solve 4*u + n*w = -20, u + 5*w + 23 = -r*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 3 + 3)*(44*g + 256*g**2 - 2*g**4 - 44*g).\nAnswer: -22*g**5 + 2816*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:17 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8342*o**4 - 287*o**2 + 34*o + 2?\nAnswer: 200208*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 2, 0 in descending order.\nAnswer: 2, 0, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4671*k**3 + 6804*k**2 wrt k.\nAnswer: -28026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*14\/(-3 + 1). Suppose -v = -n + 1. Calculate the lowest common multiple of 22 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*x**3 + 0 + 2\/9*x - 4\/9*x**2.\nAnswer: -2*x*(x + 1)*(3*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(1215) - sqrt(1215)) + sqrt(1215))\/(5*(sqrt(5) - sqrt(245))) + -3.\nAnswer: -1 - 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29347 * -3\nAnswer: 88041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/5, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95748739.476779 - -95748692. Let c = g + 47.48. What is c rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86729253 to the nearest integer?\nAnswer: 9313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 369238.7 litres in millilitres?\nAnswer: 369238700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 + 3 = 0. Suppose -2*m - 13 = -b, 0 = -b + 5*m + 29 - j. Suppose b*l - 10 = 2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-155)\/(-10) + 1\/(-2). Let p = -9 + t. Calculate the least common multiple of 400 and p.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 887, 3486, 7839, 13964, 21879, 31602, 43151?\n\"Answer: 3*p**3 + 859*p**2 + p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -73374084 divided by -2620503\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 3, -26.\nAnswer: -26, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 35. Let c be (-14)\/y*(1 - (-2 + 39)). Let o be 7\/4 - (66\/c)\/(-11). Calculate the greatest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2260723542?\nAnswer: 2, 3, 7, 11, 4893341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 43*h - 38*h + 30, -4*a + 2 = -2*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from {b: 2, e: 1, q: 1, f: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**5 - 1\/56*b**4 + 0 + 1\/280*b**6 - b + 0*b**3 + 3\/2*b**2. Let s(q) be the first derivative of n(q). Factor s(m).\nAnswer: 3*m*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 14 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2528816865?\nAnswer: 3, 5, 383, 440177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r - 7*r + 3*r)*(-3*r - 4*r + 5*r) + 3*r**2 + r**2 + 4*r**2.\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -3\/2*a**2 + 2*a**3 + 16 + 2*a. Let h be s(1). Solve 0*t - t + 5*o = -19, h*t = 2*o + 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-3 - -5) - -2. Suppose -2*f + 5*m + 265 = o*m, -129 = -f + 4*m. What are the prime factors of f?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628861517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 54*l + 587. Determine j(-17).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sscccccrrcccccscc. Give prob of sequence rs.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3.6. Let t = 0.1 - m. Which is the biggest value? (a) 1\/3 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/8)\/(19\/38). Let d(c) = 366*c - 4*c**2 - 721*c + 356*c. What is d(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/7 - 5350*y\/7 - 26700\/7 = 0 for y.\nAnswer: -2670, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-22))\/((-1458)\/5346).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/7 - 30*x**4\/7 + 2946*x**3\/7 + 9430*x**2\/7 - 71952*x\/7 + 11880 = 0. Calculate x.\nAnswer: -45, -7, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-3) + (-8)\/24. Let h(c) = 5*c - y*c + c + 2*c - 2 - c**2. Let q(l) = l**3 + 6*l**2 + 5. Let p be q(-6). Calculate h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2970200?\nAnswer: 2, 5, 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21064*b**3 + 21101*b**3 - 42170*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 64\/13782309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 213689794 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -811, -902, -993, -1084, -1175, -1266?\n\"Answer: -91*x - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**6 + 2*s**4 - 39*s**3 - 13*s**2 - 2*s - 30?\nAnswer: -240*s**3 + 48*s - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3 - 104876152*c**2 + 419504632*c - 419504640 = 0 for c.\nAnswer: -52438080, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 77. Suppose -2*m + k = 2*k - 19, l*k = 4*m - 3. Let h(a) = 2*a - 6. Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let a(z) = -2*z + 1. Give a(w) + 4*o(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1638 and 10372635?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 21, -11348, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 16245.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105*i**2*m**2 + 150*i*m**2 - 4*m**2 - 2949 wrt i?\nAnswer: 210*i*m**2 + 150*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310670 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-x**2 + 2 - 2) + 1 - 1 - x**2 - 297*x**2 + 573*x**2 - 312*x**2 - 161 + 45*x**2 + 161.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.42*14.687\nAnswer: 6.16854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 5*m**2 + 9*m - 12. Calculate the lowest common multiple of 3 and d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 + -2)) + (-25 - -2 - (22 - 35))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 734, 1471, 2208, 2945, 3682, 4419?\n\"Answer: 737*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 4*d - 2. Suppose -10*n + 672 = -2*n. Let g(l) = -2*l**2 + l**2 - 41*l - 44*l + n*l. Calculate -2*g(w) - o(w).\nAnswer: -3*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*g**4 - 2*g**3 + 8802*g**2 - 640446.\nAnswer: 32*g**3 - 6*g**2 + 17604*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 2*v - 2. Give p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**7\/105 - 17*y**6\/10 - 19*y**5\/3 + 446*y**2. What is the third derivative of j(m) wrt m?\nAnswer: -48*m - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/30*(-93)\/6 and -26\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-20)*(-160)\/350?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49616*j*z**4 + 1000*j*z + j - 30*z**4 - 2*z - 179 wrt z.\nAnswer: -595392*j*z**2 - 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 106 = -29*a + 2*k, 0 = 4*a - 2*k + 24 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 88*n + 613. Calculate r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**3 + 4*p - 4. Suppose -10 - 11 = -7*r. Let t(o) = -3*o**r - 5154 - 5*o - 5*o**3 + 5159. Let q be (-4)\/(-18) + (-38)\/9. Determine q*t(b) - 5*j(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209950 is divided by 7775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 1\/5*n**5 + 1\/2*n**4 - 4*n + 26 - n**3 - 4*n**2. Determine q, given that r(q) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/7, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/6 and -34\/259.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h + 4 + 10*h - 5*h wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1512, 5910, 13230, 23472, 36636?\nAnswer: 52722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -48. What is the nearest to -1\/4 in 0, r, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 + 3*n - 12. Let p(o) = 4*o**2 - 2*o + 6. Let l(j) = 7*p(j) + 3*v(j). Let u be l(0). What is the greatest common divisor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6332 and 63\/7915.\nAnswer: 31660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12*-12)\/(54*(-6)\/18).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/24 - (111999\/888 + -126).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/11)*o)\/o*o)**(-15)\/(o**(-11)\/o*o*((o*o**(1\/5)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(29\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -42. Suppose -14*h + j = -12*h. Solve -2*a - 2*z = -0*z + 12, -5*z = h*a + 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93009395 to the power of 1\/2, to the nearest integer?\nAnswer: 9644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:11 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98710475579 + -98710475853.021873485. Let d = w - -0.023363485. Let j = -274 - d. Round j to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62409 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6420, -12792, -19164, -25536?\nAnswer: -31908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. Suppose 8*s - 3*s + q = 0. Are s and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3*i**2 + 3*i + 3. Let w be t(-2). Let k = -426\/11 + 39. Is w < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293511120 a multiple of 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.02856394.\nAnswer: -0.1428197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 7*q**2 + q - 5. Let z be y(7). Suppose 6*r = z*r - 1044. Is -1*(2 - r)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98692 is divided by 14047.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 14. Let p(q) = -q**3 + 11*q**2 - q + 13. Let k be p(m). Suppose -2\/7*d**4 - 2\/7*d**5 + 2\/7*d**3 + 2\/7*d**k + 0 + 0*d = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7975 (base 16) in base 4?\nAnswer: -13211311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 156 + 1692. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*o**3 + 71*n**3*o + 8*n**2*o**3 + 14*n**2 wrt n?\nAnswer: 6*o**3 + 426*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*a = 3*y - 10, 5*y = -3*a + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -6 + 4 + -6*1. Let c be 1\/4 + 2335\/20 + l. Let p = 116 - c. Solve 5*o = 3*v - 9, p*v = 6*v - o - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 153 = 4*h, -5*h - 5*r = -0*h - 190. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4326 and 2562.\nAnswer: 263886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 3. Let l be b(4). Let n be 65\/10 + l\/(-2). Let t = n - 2. Solve -3*d + t*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t**2 + 4*t + 2. Is l(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Let o(j) = 4*j**3 + 4*j**2 + j - 1. Let u(c) = -4 + 5*c**3 + 4*c**2 + 2 + 0*c**3 - 2*c**3. Let g(t) = n*o(t) - 3*u(t). Give g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 37 = a - 20, 199 = 8*y + 19*a for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 1242426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -101, -106, -129, -176, -253, -366?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 7)\/(3\/9462)*1. Let r(x) = 3*x + u - 18924. Let o(w) = -37*w. Determine r(o(s)).\nAnswer: -111*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 19*t - 53. Give o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1962748 or 5?\nAnswer: -1962748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 116609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/24746 and -93\/4.\nAnswer: 49492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2571474.\nAnswer: 514294.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*o - 32. Solve 0 = 4*r + b - 16, 12 - o = -2*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a**2 - 1. Let v be (-52)\/(-9) + (-10)\/(-45). Let s(g) = g - 6*g**2 - v - 8*g + 5*g - 8*g**3. Give s(z) - 6*w(z).\nAnswer: -2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 48*s + 128. Let p(q) = -q - 2. Determine 5*d(j) + 320*p(j).\nAnswer: -80*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4729489 is divided by 3312?\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**8\/112 + 11*m**7\/70 + 3*m**6\/5 - m**2 + 180*m. Find x such that g(x) = 0.\nAnswer: -8, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**4 - 927*n**2 + 890 wrt n?\nAnswer: -12*n**3 - 1854*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779012341 to the power of 1\/2, to the nearest integer?\nAnswer: 61474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -8. Suppose -c + 10 = 4*b, 0 = -f*c + 3*c - b + 55. Let s(p) = 2*p**2 + 5*p - 9. What is the remainder when s(-7) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 421 + -281. Let t = -139.89025 + p. Let g = 0.11 - t. What is g rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249.23651 + 857981.\nAnswer: 858230.23651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1954178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1741*b - 4*b**2 + 1741*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1012 - -1428. Calculate the remainder when o is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1638 - 1638 + 64*r**2)*(2*r - r - 2*r + (-2 - 5 + 3)*(1 - 1 - 2*r)).\nAnswer: 448*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j + 41*j + 160 = 0. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-975)\/260 - (-2)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2)\/(3\/6). Suppose 0 = -m*r - 3*r + 105. List the prime factors of r\/(-14) - (-34)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284862?\nAnswer: 2, 3, 197, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -580 + 580.0001278. What is n rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-9)\/6) - 7\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*j + 67. Let a = -183 - -192. Let k be (10\/4 + -2)*(-19 + a). Sort k, -4, j in decreasing order.\nAnswer: j, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13941438 - -5?\nAnswer: 13941443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 93, 316, 753, 1476?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 7 + 32 + 5 as g + s*m and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - (-1 - (-26)\/8). Let a be 3*(-5)\/30 - z\/4. Let h be 2\/(-9) - 222\/(-27). Solve a = 3*v + v + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4163773 is divided by 1387917?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**2 + k**2 + 5*k**2)*(8*k**2 - 24*k**2 - 127 + 11*k**2 + 7*k**2) in the form v*k**3 + i*k + c*k**2 + z*k**4 + g and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i**3 - 2*i + (i**2 - i**2 - i**3)*(-4 - 1 + 6) + 0 - 2*i**3 + 0)*(-i + 5*i - 3*i).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11256989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-5)\/(-60)). Suppose 3*u - b = -3. Let v = 11 - -2. Solve u*j = 7 + v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 71 = t - 85 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 12038 = -724*d - 369*d, -3*d = -3*r - 24 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -6. Suppose h = 2*r + 3, 4*r = 5*i - 49. Calculate the remainder when 25 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26841 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -364 or -266?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -1. Let n = r + 56. Suppose 3*u + 12 - 64 = 5*p, -2*u + 38 = -4*p. What is the highest common divisor of n and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, o: 3, c: 5}. Give prob of sequence scso.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -418048, -418046, -418044?\n\"Answer: 2*m - 418050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1285*i**2. Let o(v) = -40*v. What is o(t(u))?\nAnswer: 51400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -27 + 13 + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 19. Let a(x) = -2*x + 39. Give -3*a(c) - 5*d(c).\nAnswer: c - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(90)\/sqrt(5) - sqrt(18) - (sqrt(450)\/sqrt(9)*2)**2) + 2.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let b(s) = s**2 + 37121. Give j(b(n)).\nAnswer: -2*n**2 - 74242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i*j**3 + 20943792*i*j**2 - 424*i*j + 600*i - 60*j wrt j?\nAnswer: -36*i*j + 41887584*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.78 + -1.18. Which is the closest to 0? (a) -4 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmvr when four letters picked without replacement from mrrmmrv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4992721552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0925 - 0.092499637. Round v to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - (19 - 0 - (79 + -75))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2855825159?\nAnswer: 11, 3359, 77291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 299719603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -2 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*q - 13, 4*q - 14 + 12 = 2*c. Put -23, -1, c in ascending order.\nAnswer: -23, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.32 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -13, 5, 3, 1, -542, -3 in decreasing order.\nAnswer: 5, 3, 1, -3, -13, -36, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 2, 69, 5.\nAnswer: -8, 0, 2, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -227, 15, 3, 0.6, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/19)\/c)\/c)\/c**(5\/3) assuming c is positive.\nAnswer: c**(-215\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/((s**2\/s)\/s))\/s*s))\/s**11*(s**8*s*s*s)**(-16\/9) assuming s is positive.\nAnswer: s**(-275\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -75. Let c be f\/(-10) - 2\/(-10). Solve 4*h - 1 = c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 40*n - 31. Let w be a(3). Which is greater: 88 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*f + 7 = 0, -2*h = 3*f - 4 - 3. Let s(a) = -24*a + 3. Let v be s(h). Let l = v + 7. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29362?\nAnswer: 2, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10*w**2 + 312*w + 105. Calculate r(32).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 9280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -28 + -64 + -16 + 4 + -5.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 15*t**2 - 2. Let k = -2108 - -2123. Determine b(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:22 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/14)\/(9\/84). Let s = -42 + a. List the prime factors of (2 - (-5)\/(-2))*s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 72*h**3 + 6*h**2 + 15*h + 4. What is c(-2)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3869 (base 14) to base 15\nAnswer: -2de8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h - a + 30789, 12320 = -2*h - 4*a. Is (h\/6)\/(2\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(22)\/(sqrt(14)\/sqrt(7)*1) + 1.\nAnswer: -2*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/((-11)\/(-1419)). Suppose 4*a - t = 65. List the prime factors of 20\/1*a\/9.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(-4 + ((sqrt(6)\/sqrt(2))**2*-2 - (sqrt(48)*-3 - sqrt(3)) - ((sqrt(3) + sqrt(27) + -2 - sqrt(3)) + (sqrt(3) - (sqrt(3) + -1 + sqrt(432))))**2) + 3).\nAnswer: -3012 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 k, and 2 j when four letters picked without replacement from {z: 5, k: 1, j: 4, p: 1, n: 3, v: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1353706 divided by -1982\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-3 - (-1 + 0)). Suppose -c + x*d = -129, -3*c + 3*d + 89 = -298. Does 43 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = 4*p - 2, 3*a - 8 = -2*p. Let v be ((-10)\/3)\/(-5) - p\/6. Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785981 = 291*c - 368*c + 2857050. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -410 + 578. What is the highest common factor of m and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*d + 20 = 0, -4*y + 3*d - 6*d + 22 = 0. Suppose 4*q - 38 = -5*s, -5*s + 61 - 37 = 2*q. Put y, s, -4, -1 in decreasing order.\nAnswer: y, s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 4, -12, 2, -81, 0 in ascending order.\nAnswer: -81, -12, 0, 2, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9))**(-1)*(n*n**(1\/9))\/(n**(-19)*n))**3 assuming n is positive.\nAnswer: n**(253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 5*j**7\/84 - j**6\/3 - 31*j**5\/4 - 95*j**4\/3 - 695*j**3\/12 - 55*j**2 + 299*j. Solve g(a) = 0 for a.\nAnswer: -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4\/7 + 10456*w**3\/7 + 6874692*w**2\/7 + 54496672*w\/7 + 108659776\/7 = 0.\nAnswer: -1303, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*a - 59*a**3 - 64*a**3 - 67*a**3 + 65*a + 244*a**3 - 57*a**3.\nAnswer: -3*a**3 - 225*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g - 6. Determine l(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -83. Suppose 5*z - 87 = -v - 0*v, c = v + 3*z. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -24. Suppose -5*v + 0 = -5. What is the highest common factor of v and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 2316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/(-49) + -8)\/((-2)\/6)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 11:38 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -9.5. Let r be 2\/4 - (-5)\/(-30). Which is the second smallest value? (a) r (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + u - 4*u + 3*u**3 + 2*u - 2*u**2 - 2*u**2 + 5 as t*u**3 + a*u + j*u**2 + o and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1187*h**2 - 866*h**2 + 1370*h**2 in the form l*h + v*h**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - j**2 + 3*j + 5. Let u(n) = n**2 + 2*n + 7. What is the remainder when w(4) is divided by u(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 14 (b) -3\/2 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9801427*u**6 + 1412571*u**2 + 14*u.\nAnswer: 1176171240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let n(l) = 3*l**2 - 11 - 11*l + 4*l**2 - 6*l**2. Calculate the remainder when s is divided by n(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12542 + -12538. Solve 9*d - 10*d + 3 = z*j, -3 = -2*d - 5*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/42 + -5\/6. Let h = 0.14 + -0.62. Let o = h + -0.22. Which is the nearest to 0.1? (a) -1\/3 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 1 - (11 + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002267 rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46182 and 387.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let z = g - -3. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - (-8)\/(-36). Let v be (1 + y)*(-102)\/(-6). Sort -5, v, -0.4 in increasing order.\nAnswer: -5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21\/8*r**2 + 0 - 9\/4*r + 39\/8*r**3 = 0.\nAnswer: -1, 0, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.165343 times 92?\nAnswer: 15.211556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 40*o + 149. Calculate w(-10).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 7. Let a = -6 - -3. Let t = d - a. Is t < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000216638 rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103863 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26271 is divided by 21103?\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -9) + (3 - 2) + (3 - (11 + 14))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/(-7) + ((-4)\/(-7))\/2. Let m = -7 - -21. Calculate the highest common factor of h and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.3 and 0.3?\nAnswer: 16.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*k - 187 + 203, -4*k + 2*r - 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3)*((-12)\/144 - (-2)\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 13 - 43. Calculate the least common multiple of 11 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-1054)\/(-8) + (-9)\/12. What is the common denominator of 6\/5 and -43*((-2)\/8 + y\/580)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 767364822 by -12180394.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 5*u - 906, -2*p - 5*u = -468. Suppose p = -2*k + 89. Let a be -2*(k\/4)\/7. What is the highest common divisor of a and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5 + 3 - 15*s**2 + 11*s**3 + 2*s - 14*s**3 in the form t*s**2 + o*s + p + n*s**3 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndn when three letters picked without replacement from {d: 11, n: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 30*v = 11820. List the prime factors of v.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 221, 425, 649, 899, 1181?\nAnswer: 1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-179 - -202) - (-1 + (-1 - -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - -5)\/2 + 0. Suppose -r = z*r. Suppose 0 = 3*g + 2*s - 156, 2*g - s + 3*s - 104 = r. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430851 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 9:41 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -411037 and 0.106564.\nAnswer: -411036.893436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 85*u**2\/2 + 8. Let j(c) = c**2. Determine t(j(b)).\nAnswer: -b**4 + 85*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 165 = 9*x + 10*x. Solve -2*s = -8, 0 = t - x*s + 59*s - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/40 + 23*l**5\/30 + l**4\/4 - 31*l**3\/3 + 1432*l**2. What is the second derivative of s(t) wrt t?\nAnswer: 18*t + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -3 - 0)*17. Let l = -9 - r. Calculate the remainder when 14 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 30*m**2. Let j(q) = -14*q. What is d(j(w))?\nAnswer: 5880*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 70. What is the nearest to z in 2, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225 + -127. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*g - 3. Let n = -14 - 19. Let o = n - -36. Sort 1\/5, o, g.\nAnswer: g, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -32*f**3 - 3*f + 7. Let i(q) = -21*q**3 - 2*q + 5. Determine 7*i(p) - 5*r(p).\nAnswer: 13*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 - 165. Solve i - l = 6*i - y, 2*y = 2*i + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1411*q**2 + 15*q - 66. Let y be z(7). What is y rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.3 - 7. Let n = 4.953 - -0.047. Which is the smallest value? (a) n (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -13*d + 111 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-1) - 8\/4. Suppose 3*h - h - z = 0. Which is the third smallest value? (a) -1\/3 (b) h (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) + (-115)\/(-35). Suppose k*u + 2*u = 150. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*f + 244*f = 312. Suppose 0 = -f*i - 0*i + 19344. List the prime factors of i.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from dzpezsdspzppwzsdpdee?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15312*t - 15611 wrt t.\nAnswer: -15312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367151.\nAnswer: 3, 455717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618155 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:28 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 11918090 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 4:09 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/326095 and 73\/29645.\nAnswer: 326095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15407 = -4*j, 1220 + 14160 = 5*o + 5*j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 13*b**2 + 11*b + 10. Let g be t(12). Let q(j) = -2873*j + 45. Is q(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 13*l**2 - 12*l + 5. Let o be p(-12). Find the first derivative of 3*n**4 + 3 - 5*n**2 + o*n**2 - 4 wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*z = -18, -3 = -5*c - 10*z + 6*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725567392 take away -813?\nAnswer: 1725568205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.00033 + 7. Round m to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 250. Suppose 0 = 4*c - c - 573. What is the remainder when c is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43763632?\nAnswer: 2, 11, 248657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n - 4*n**2 + 10*n + 2 + n**3 + n**2 + 0*n**2 to r*n + l*n**2 + u + s*n**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5.5 (c) 1 (d) 26 (e) -0.2 (f) 479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2511050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 13*l**2 - 8*l - 30. Suppose -4*y = 8, -y - y - 8 = -2*d. Suppose -30 = d*o + j, o + 45 = -4*o + 5*j. List the prime factors of g(o).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(360)*-2 + sqrt(360)) + sqrt(360))\/(4*sqrt(128)))\/((sqrt(1089) + -1*sqrt(1089)*5 - sqrt(1089))*1).\nAnswer: 3*sqrt(5)\/880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19633 - 11592. Suppose 0 = -2*z - u + 100041. What is z rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**3 + n**2. Let u be l(-1). Let q = 14 + u. Suppose -z + i = -9, -z - 22 = -q*z + i. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/245 and -44\/49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 190*x - 1 - 85*x + 0 + 15*x to the form t*x + z and give t.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50317 - 50288.0034. Let g = i + -29. What is g rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1011*g - 5095. Let t be k(-12). What is t rounded to the nearest 100?\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*b + 2*h = -332*b - 12, 100 = -0*b - 4*b - 5*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0108205093 rounded to four dps?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from yyiiiiiiiasiiiai?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 10*o**2 - 2*o + 13. Suppose -27*w = -w - 260. What is f(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -48*h**3 + 4*h + 3. Let z be k(-2). What is the common denominator of 6\/15 - z\/(-40) and ((81\/4)\/(-9))\/(10 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*a + 969 + 572 = -250 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.35, -11.2293, -0.6?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 < 22534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5721\/7 in 0, 1\/2, 0.3, -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0) + (-16)\/(-4). Suppose -5*p = 4*q + 1, q + 5*p + 15 + 4 = 0. Suppose 5*a + 14 = 2*r, -5*a = -4*r + q*r + 6. Solve r*s + m = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o + 74. Let h be v(-7). Let m(l) = 42*l - 48. Let x(c) = c**2 - 41*c + 48. Let a(w) = h*m(w) + 3*x(w). Suppose a(f) = 0. What is f?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - 0.2. Let y = 0 - -3. Let m = l - y. What is the second smallest value in -2\/3, m, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(4*sqrt(114)*-1 + sqrt(114) + ((sqrt(114) + sqrt(114)*1)*-6 - sqrt(114) - sqrt(114)))\/(sqrt(24) + (sqrt(192)*2)\/sqrt(8)).\nAnswer: -3 + 85*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -2 + -2 + (109 + -135 - -73)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + 5.3. Let y = -3 + m. Let w(n) = -n**2 - 6*n - 4. Let b be w(-5). What is the closest to b in 2, -3, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*s + 3, 6 = 3*h - 3*s - 12. Let b = 243817.4 + -243817. Put 4, 0.5, h, b in ascending order.\nAnswer: b, 0.5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6\/11, 5 in decreasing order.\nAnswer: 5, -0.4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -371, -744, -1107, -1454, -1779, -2076, -2339, -2562?\n\"Answer: t**3 - t**2 - 377*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*y - 323*y - 5*q - 118 = -3, -3*y = 5*q + 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 6*b - 1344. List the prime factors of b.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + -1) - (sqrt(7) + 1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Let z = 11 - 7. Solve g*b + 5*d = 2*d + z, b = 3*d + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y**2 - 539*y**2 + 235*y**2.\nAnswer: -364*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + 0 + -3 + 27 + -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - 1)*(-1)\/(-1). Let b(y) = 18*y - 72. Let u(d) = -9*d + 40. Let f(l) = -5*b(l) - 9*u(l). Let w(m) = -4*m. What is o*w(v) + 3*f(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37729433 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqfqnffnnnqfnnqnqf. Give prob of picking 1 n, 2 q, and 1 f.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -l + 60. Let r = l + 38. Suppose 9*p - 72 = p. What is the highest common factor of r and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2094*n**4 + 1003*n**2 - 2*n + 72146035 wrt n.\nAnswer: -8376*n**3 + 2006*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 64 = 2*x. Let r(m) = 2*m**3 + 78*m**2 + 5*m + 191. Let y be r(-39). What is the nearest to x in y, 3\/7, -0.1, -1\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 1413 = 25*n. What are the prime factors of n?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -0*p - 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/147078 and 2\/171?\nAnswer: 2794482","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 428004, 427702, 427400?\n\"Answer: -302*n + 428306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let u be 1*0*(-1)\/(-2). Let r = 4 - u. Let s(q) = r*q - q - 7*q. Give o(s(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 9*l + 3. What is the hundreds digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14315 - -102005?\nAnswer: 43250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52986 - -61.461.\nAnswer: 53047.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z = -4*z + 75 + 295 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4756*(-2)\/1456 - 8\/14. Let x = s + -84\/13. Which is the nearest to x? (a) -1 (b) 4.7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = -42. Let m(y) = -3*y**3 - 13*y**2 - 13*y - 7. Let d(k) = -k**3 + k**2 + k - 2. Let i(x) = -2*d(x) + m(x). Is 7 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**5\/i*i*i))**(-1\/13)\/(i**(14\/9)*i\/(i*i\/i**(8\/9)*i)) assuming i is positive.\nAnswer: i**(2\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -5*a**3\/6 - 14*a**2 + 2*a. Let f be (-2 - 5)*(-12)\/(-14). Let m be i(f). Calculate the highest common factor of 18 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - o + 12 = -3*o, l = -3*o - 10. Let g = -2 - l. Let r = 3417 + -3422. Which is bigger: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g\/(g*g\/g**(-4)*g*g*g*g)))\/(g\/g**12))\/(g\/(((g\/(g**(-1\/4)*g)*g)\/g)\/g*g*g))**49)**(-2\/17) assuming g is positive.\nAnswer: g**(-125\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 8*v + 16. Suppose -10 + 74 = -8*z. Let a be o(z). Calculate the greatest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 646*q\/3 - 33655.\nAnswer: -(q + 265)*(q + 381)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2868)\/(-3)*2\/8. Suppose 5*h - a = 4*z, 0 = -2*h - 2*z - 31 + 123. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -114. What is the highest common divisor of y and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650155 to the power of 1\/2, to the nearest integer?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 11) + 21 + -7 + (-6 - (15 + -45))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0409 - -230.0409. Let k = r - 231. Which is the closest to k? (a) -200 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -671159, -2684677, -6040547, -10738775, -16779367, -24162329?\nAnswer: -32887667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1332\/(-4440))\/(9\/(-2)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/30 + -8)*36?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -62031113?\nAnswer: 62031121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.169151735 to 5 decimal places.\nAnswer: 0.16915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86.2357 - 86.3. Let j = -149482.102 + 149482.037700427. Let m = j - o. Round m to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12103407 to the power of 1\/2, to the nearest integer?\nAnswer: 3479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or 0.0387745?\nAnswer: 0.0387745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53256708, -106513420, -159770132, -213026844, -266283556?\n\"Answer: -53256712*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 6*f + 10. What is the remainder when j(5) is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3))\/5*93\/248.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -36*b - 464. Give j(-10).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 1\/2, 3.8, -2\/11, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 + 2. What is the third biggest value in a, 4, -2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = -g - 26, g + 5*z + 21 = 0. Let q be 2 + g - 10\/30. Put q, -5, -1, 5 in increasing order.\nAnswer: -5, -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**4\/3 + 118*v**3\/3 - 1320*v**2 + 3872*v\/3 - 1595. Factor t(y).\nAnswer: -2*(y - 44)**2*(2*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 30 - (51 + -37)) + -7\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 26*j - 23*j - 6684, -5*j + 10024 = 3*g. Does 93 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/5 (c) 2\/13 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*b = -40, 2*z + 5*b - 34 + 3 = 0. Let i = 8 - 11. Put i, z, 11 in ascending order.\nAnswer: i, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51604 and 38703?\nAnswer: 154812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Suppose y*n = 2*n + 10. Put -4, 3, n in descending order.\nAnswer: 3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 11*w**2 - 6*w + 50. Let a be z(8). Suppose -2*y = 3*y - 3*i - a, 0 = 2*y - 2*i - 80. Sort -3, 2, y in decreasing order.\nAnswer: y, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3)*29*3. Let m = j + -34. Let l be ((-3)\/(-9))\/(2\/m). Solve u + l*s = -10, 2*u + 6 = u - 2*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 7 + 0*n + 3 - n + 2*n**3 - n**3 + 0*n. Let t(y) = y**3 - 1. Determine -j(g) + 4*t(g).\nAnswer: 3*g**3 - 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*a - 2. Solve r = -5*x + a, -x + 4 = 3*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 + -56. Suppose 4*k + h = f, 2*k - 1 - 1 = 0. Suppose -2*i = 4*m - 2*m - 70, 0 = -2*i - 4*m + f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, u: 1, t: 2, w: 1, z: 3}. Give prob of sequence vzt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*l - 103*l + 284 = 0. Calculate the least common multiple of 403 and l.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 909 + -919 + 37\/(-13) + 1 + 12.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -4\/9, 77\/90320, 4, -3\/5?\nAnswer: 77\/90320","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + w + 5*w - 4*w)*(-116*w + 1084*w + 1507*w - 410*w) to j + l*w**2 + s*w and give s.\nAnswer: 4130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/(87\/(-15) + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/14 + (-46)\/(-161) - -256. Let l = a + -248. Calculate the remainder when 57 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u - 12. Let o(l) = -7*l + 8. Let d be (21\/(-6))\/((-2)\/4). Let w(n) = d*o(n) + 5*a(n). Let b be w(10). Let i(m) = -m + 8. Determine i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 35840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/25)\/(213\/142).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from yffyffyyyyyfyy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01392455 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -98 - 8*g**2 + 98. Let r(f) = -2*f + f + 3*f. What is r(i(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75554.\nAnswer: 2, 37, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 138, 627, 1558, 3027, 5130, 7963, 11622, 16203?\n\"Answer: 16*z**3 + 125*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 2. Let t be 268\/10 - (-9)\/45. Let g = -20 + t. Let p(f) = 1 + f + 6 - g. Determine -k(d) + p(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-11\/5)*n**(1\/3) assuming n is positive.\nAnswer: n**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 5. Calculate d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - u. Let m(l) = l**2 - 5*l - 11. Let p be m(7). Suppose -f - 4 = p*f + 2*j, 0 = -5*j. Give c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*m - 45 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47941 + 5\/(-2)*-2 + (-21)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.699 + 0.899. Let a = -3.9 - -0.9. What is the nearest to 1 in -0.1, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19563959 times 0.5?\nAnswer: -9781979.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 53. Let p be q(-12). Suppose -59 = 4*i + p. Which is bigger: -32 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.01, -277.\nAnswer: -277, -0.01, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - sqrt(18))*-3)\/sqrt(9).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 190 + 678 = 0. Suppose -5*t + 128 = -w. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 439 (base 10) to base 14\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -5)*(-2)\/4. Let c be 5\/(-4)*d\/(-5). Put c, 3, 0.1 in descending order.\nAnswer: 3, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (4 - (-4 - -8))) + 172898. Suppose 3*s + k = -2*z - 717113, 2*s = z + 444992. Round z to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14888 + 0.15. Round d to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j - 2*c - 1 = 0, 3*j + 3*c = 0. Suppose 2*u = 5 + j. Suppose 0 = u*h - 0*h - 66. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a5a + 3?\nAnswer: 12a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*g - 65 + 14 = 0, 17 = t + 3*g. Solve s + 17 = 2*i + i, t = -2*i - 5*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 5. Let a(s) = s - 2. Let j(t) = 13*a(t) - 6*d(t). Let r = -209 - -211. Let u be ((0 - 2) + r)\/(-7 - -8). Give j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.2 + -23.8. Let s = k + 19. Let x = -1 + 2. Which is the third biggest value? (a) 0 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3499309 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7418240 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:57 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w + 17. Let j(k) = 11*k + 29. Let l(v) = -6*v - 14. Let m(p) = -3*j(p) - 7*l(p). What is 8*m(t) - 5*x(t)?\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4430 is divided by 1100?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17054148 divided by -1421179.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5986309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/35)*x*x)**(24\/11) assuming x is positive.\nAnswer: x**(1632\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yukvxcc. What is prob of sequence ky?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.6. Let c be (-77)\/(-198) - (2 + (-11)\/6). What is the biggest value in c, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1023439, -2046880, -3070321, -4093762, -5117203?\n\"Answer: -1023441*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34340.9197 + 34341. Round i to 3 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*v - 6999, 17*v = -d + 15*v + 2333. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27351 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h + 3*w + 31 = 85*h - 128*h, 3*h = 2*w - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = -5*q - 19, -5*q = -2*r + 6. Is -3 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f = 12765 - 3165. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62000 (base 10) to base 3.\nAnswer: 10011001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 + 10 - 46) + (-4 - -1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**2 + 145. Let k(v) = 2*v + 1. Let z(m) = 38*m - 3. Let y(q) = -3*k(q) - z(q). Give j(y(i)).\nAnswer: -264*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40785 and 22989?\nAnswer: 312535455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 1056?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -168.6. Is 40\/9 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {q: 1, u: 3, m: 4, z: 1, j: 1, c: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60630574729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 + -6) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 21 = 3*x, 3*x = 35*j - 30*j - 27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3087, -6137, -9137, -12081, -14963, -17777, -20517?\nAnswer: -23177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a, -w + 10 - 4 = 3*a. Sort w, -6, -4 in descending order.\nAnswer: w, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 3*z + 2 - 3)*(68 - 8 + 88) to the form w*z + u and give u.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + 7\/(-10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/(w\/(((w*w*w**(-9))\/w)\/w)))**(-50)*(w**(-3)*w*w*(w*w**1*w*w)\/w)**16 assuming w is positive.\nAnswer: w**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56)\/(-10) - (-3)\/(-5). Suppose -15 = -3*p - 2*p, -d*p - 33 = -4*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02325 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5569181, -11138365, -16707563, -22276781, -27846025, -33415301?\n\"Answer: -h**3 - h**2 - 5569174*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -3)\/(-3) + 5. Solve -3*c**5 + 2*c**3 - 21*c**2 + 8*c + 8 - 7*c**5 + 26*c**h - 13*c**2 = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-9)*6\/22*11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 286256.6mm?\nAnswer: 286.2566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (624\/(-64))\/((-189)\/(-504))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 8*m**2 + 8*m + 33. Let b be f(-4). Let v = 1.3 + -0.1. Let h = -1 + v. What is the closest to h in 0, 5, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*sqrt(80) - (sqrt(45) + sqrt(180) + sqrt(5))) - (-1 + sqrt(55)\/(sqrt(33)\/sqrt(3)) + sqrt(25)\/(sqrt(5)*1)).\nAnswer: 1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1106 = 4*k, -k + 4*k + 2*o = 828. Let g = k - -2426. Is 33\/55 + g\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010010001000000 - -111111?\nAnswer: -1011010010000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 2*k + 423. Are -48 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + m - 28)*(2292*m**2 - m - 3 - 2231*m**2 + 8) + 3*m**3 + 3*m**3 - 7*m**3 + (0*m**2 + m**2 + m**2)*(3*m - m + 0*m).\nAnswer: 64*m**3 - m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*b - 324. Let k(w) = 5*w - 2. Let j be k(4). What is the greatest common factor of j and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1540*n**5 + 290*n**3 - 4*n**2 - 14599*n - 4?\nAnswer: -92400*n**2 + 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2918 + 2921. What is the nearest to 6 in -0.5, s, -3, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 582 + -510. What is the remainder when 142 is divided by u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.83 + 22. Let r = 5.17 - q. Let f(j) = -26*j + 25. Let k be f(1). Sort r, -1\/4, k in ascending order.\nAnswer: k, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**3 - 240*m**2 - 17375*m + 35670 = 0.\nAnswer: -41, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-3)*i)*i**0*i*((i**(-1\/6)*i)\/i)**(15\/8))**(-10) assuming i is positive.\nAnswer: i**(-295\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 18 = 5*b. Solve -6*v + b*v - 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 143*d**2 + 122*d - 1745. Give q(72).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -212, -646, -1370, -2384, -3688, -5282?\n\"Answer: -145*j**2 + j - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -2 - 0) + 0. Suppose 4 + 0 = p*m. Let a(l) = l**3 - 17*l**2 - 19*l + 20. Let g be a(18). What is the greatest common divisor of g and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*i - 2*n, -17*n = -5*i - 13*n - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149 - 111 - 38 - 876*u to the form o*u + k and give o.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (1 - 3 + 4)*(3 - 1 + 0))*(93*o - 98*o + 57*o).\nAnswer: 156*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5 - 2 + q**2 - 3. Let p be w(-3). What is the first derivative of -p*s**3 - 1 - 1 + 9*s**3 - 2*s**4 wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4306419 + -4306409.000004. Let p = t + -10. What is p rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/100*-5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107917097 at most as big as -107917089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1961, 3909, 5827, 7709, 9549?\n\"Answer: -y**3 - 9*y**2 + 1982*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 13. Calculate the remainder when 62 is divided by b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*a - 0*j + 186, -4*a - 350 = 5*j. Let z be 13\/(-2)*(5 + 9). Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7989432 nanograms?\nAnswer: 0.0000000007989432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c - 5*b = 23, c = b - 15. Let z be (-18)\/(-14) + 4\/c. Let l = -159\/4 + 40. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 73 = -4*a + 277, 2*p = -5*a + 276. What is the remainder when 141 is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 98*f - 51 = -99*f, -12*f + 223 = -149 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 80 = -y. Let k = -10 + y. Solve 0*r + r = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 108*n**2 + 18*n**3 + n**4 + 0*n**3 - 136*n**2.\nAnswer: -2*n**2*(n - 7)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - ((-18)\/51)\/(1\/11). Which is the second biggest value? (a) 0.1 (b) 4 (c) 0 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3 (c) -161\/4 (d) -1\/3 (e) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q - 2. Suppose -97*m - 28*m + 16625 = 0. What is the remainder when m is divided by b(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2232173.3 - 0.1.\nAnswer: -2232173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254 and 211587969?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624808505?\nAnswer: 5, 124961701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 0 + sqrt(1584)) - sqrt(1584)) + 0)*-6)**2.\nAnswer: -864*sqrt(11) + 57060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Let j be (-8)\/(-60)*u*3. Sort 7, -4, j in decreasing order.\nAnswer: 7, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*k. Suppose -2*u - 70 = -4*z, k = -0*u - u + z - 39. Let b = u - -56. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 3. List the prime factors of 24*(10\/y)\/((-5)\/15).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2424033 (base 5) to base 4.\nAnswer: -23013032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -21.3, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (11 + (1 - 2)). Let a = 8500 + -59501\/7. What is the second biggest value in 1\/6, 2, a, w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12108, 24649, 37190, 49731?\nAnswer: 62272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 8*j - 3. Give f(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1456649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4424 = -2*n, 0 = 5*j - 2*n - 2*n - 11051. Suppose 0 = -8*b + j + 221. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -32*p + 361. Suppose 0*k - 10 = -p*k. Let a(j) = j - 1. Let m be a(4). What is the greatest common divisor of k and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-104)\/117)\/(3\/18))\/((-2)\/(-3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(28\/3)*w)**40\/(w**33*w*w*w\/((w\/w**(8\/7))\/w*w)) assuming w is positive.\nAnswer: w**(9601\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 329*i - 326*i + q, 0 = -4*i + 2*q - 122 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -11729\nAnswer: -5864.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2087 + -3023. Which is greater: y or -935?\nAnswer: -935","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22076768, 44153535, 66230302?\n\"Answer: 22076767*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - y - 14 = 0, -6 = -2*j - 5*y + 4*y. Suppose j*r - 104 + 24 = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*j**2*s**2*t + 14*j**2*t - 1096*j*s**2*t + 598*j*t - 1 wrt s?\nAnswer: 54*j**2*s*t - 2192*j*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 21 + 18 + -30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*z - 10*z + 28, z - 5 = -d. Suppose 9*f = z*f. Factor f*c - 1\/4*c**2 + 0.\nAnswer: -c**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4023528 and 326242.\nAnswer: 326242.4023528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-13)*f*f**(3\/5)*f)**(-1\/22))**10)**(-4\/13) assuming f is positive.\nAnswer: f**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8*u + 8. Suppose -42 - 54 = -u*p. Let o be p\/(-70) - 8\/(-28). Which is bigger: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38396*c**3*k**3 + 2*c**2*k**3 - 30160*c**2*k wrt c?\nAnswer: 230376*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -207860.3517 - 0.3?\nAnswer: -207860.6517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -669078*0.1\nAnswer: -66907.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-700 + -5)*40\/(-50).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 15840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 6*h - 82. Suppose 4*k = 5*x - x + 80, 3*x + h = 2*k. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 56.46667 weeks?\nAnswer: 395.26669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 0, -q + 2*h + h - 6 = 0. Suppose 0 = -s + 5 - 0, -3*s + q = -4*r. Let f be 1*r\/6*6. Sort -4, 2, f.\nAnswer: -4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**8\/70560 + v**7\/735 - 2*v**6\/35 - v**5\/30 + v**4\/8 + 57*v**2. Let j(w) be the third derivative of d(w). Factor j(f).\nAnswer: -2*(f - 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -129*g - 1116.\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10764443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.6 - -49.6. Let j = -29 + 20. Let s(y) = -y**2 - 8*y + 5. Let m be s(j). Which is the second smallest value? (a) t (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let z(x) = -54*x**2. Give z(q(j)).\nAnswer: -216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28759 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 298524180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(24\/(-10) - -2). Let z = v + 4. Suppose 88 = 4*y + 5*k, 38 = z*y + 5*k - 4*k. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22061.06641 rounded to the nearest 10?\nAnswer: -22060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 387991194 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*d - 161 - 68 = 0, -r = 5*d - 103. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193173754 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134351 and 22253.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1239, -1, -26, 1 in increasing order.\nAnswer: -1239, -26, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 88. Let d be 2\/(0\/(-4) - 1). Is n at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*p = -27, n + 3*p - 8*p + 18 = 0. Suppose 2*v = -2*u - 8 - 10, v - u - 1 = 0. Sort v, 0, n in decreasing order.\nAnswer: 0, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4853000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 7176870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 - 0) + -2)*-34. Suppose 4*r = o + 6. Suppose x = r + 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 264627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7922042 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 8:43 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, b: 4, h: 6, e: 4, z: 2}. Give prob of sequence bce.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, v: 5, a: 2, d: 1, x: 5}. What is prob of sequence abvx?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v - 333 = 7*v. Let o be ((-3)\/(-2))\/(6\/80). Let f = o + -11. Calculate the smallest common multiple of v and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4643 + 4643 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224728 and 18144.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 4*u = 10*c + 6, -2*c = 2*u + 2. Let w be 2 - (3 + c - -1). Let m(v) = 2*v**3 - 3*v**2 - 2*v + 4. What is m(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204620 divided by 1574?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 23127519*i**2 - 10*i - 23127520*i**2.\nAnswer: -i**2 - 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 43452. Let b be o(0). Let l be b\/16 + 1\/4. Suppose -l = u + 2284. What is u rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 3*o**2 + o)*(-6 + 6 - 6)*(-12 + 6 - 12)*(o - o + o) to k*o**2 + w*o + x*o**3 + n and give x.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((sqrt(243) - (sqrt(243) - sqrt(243)*4))\/sqrt(9) + 3 + 5)*2.\nAnswer: -288*sqrt(3) - 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*f - 12, 6*f = b + 2*f - 12. Suppose -2*p + 4*t + 2 = 0, -5*p - 5*t - b = -39. Let q be ((-36)\/20)\/(15\/(-50)). Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 11*q**2 - 7*q + 31. Let t be o(-6). Let v = -98 - t. What is the greatest common factor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 814 + -698. Suppose -854 = -130*h + p*h. Calculate the remainder when 131 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.1 times 0.03?\nAnswer: 5.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 4\/9, -2\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - t - 9 - 8 = 0, 4*m = 5*t + 22. Suppose w + 2*p = 11, 3*w + 0*p - 4*p = -7. Solve -w*y - 14 = 4*c, 15 - 3 = -m*c - 3*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001101010010110010 (base 2) in base 12?\nAnswer: -346756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z. Let a be y(2). Suppose 38 = 2*w + 72. Let o = w - a. Solve o*x = -x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*(((v*v**11\/v*v)\/v)\/v)\/v)**(-3\/25) assuming v is positive.\nAnswer: v**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, -34437429 in ascending order.\nAnswer: -34437429, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a - 9\/2*a**2 + 4 + 9\/4*a**3. Factor h(t).\nAnswer: 3*(3*t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0\/2)\/(-2))\/(-2). Let m = -1.002 + 1.102. What is the nearest to m in -5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.05 - -0.05. Which is the second smallest value? (a) 5 (b) h (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.11 - -0.11. Let l be 2 + 6 + (-95)\/15 - 1. What is the closest to -1\/4 in y, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0005798 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 12*n = -324. Let j be (-1)\/(3*3\/n). Let l be j\/27 + 1430\/45. What is the highest common divisor of 80 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - 2*r - 8. Let f(m) = 2*m**2 - 2*m - 8. Let v(i) = f(i) - x(i). Let y(j) = -2*j + 1069. Give y(v(o)).\nAnswer: 4*o**2 + 1069","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72 * -0.2.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 70c51 (base 14) to base 8\nAnswer: 1021747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 - 0.071914042?\nAnswer: 101.928085958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3*2\/(-10)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 - 8270. Let p(n) = 22*n**2 - 2. Give d(p(z)).\nAnswer: -3388*z**4 + 616*z**2 - 8298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.445 <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(4\/(3 + 13)). Let w(l) = -l**2 - 4*l + 2. Let t be w(-4). Solve -y*c - 2*d = -6*d - 14, c = -d - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(35)*-2)\/sqrt(5))*1 + (sqrt(245)*5 - (sqrt(5) + sqrt(20)\/sqrt(4)*-1 + sqrt(5)))**2.\nAnswer: -sqrt(5)\/2 + 5780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + 144 + (-29 - -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 572201076 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018480061 rounded to five dps?\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q - 34. Let i be y(-7). Let s be 0 + (-2)\/(0 + 10\/(-15)). What is the nearest to 3\/5 in i, -3\/2, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 44 = 764. Suppose -47*g + p = -43*g. Find the third derivative of -g*r**2 - r**4 + 7*r**2 + 12*r**4 + 5*r**2 wrt r.\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12288 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + 2*p - 1. Let l be r(1). Suppose 0 = l*d + 2 + 1. What is the second smallest value in 0.5, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -107*y + 60. Suppose 1 = g - 2*q, -11 = -3*g + q - 13. What is the remainder when b(g) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203900401?\nAnswer: 59, 3455939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.403364\nAnswer: -4.03364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -26459631 less than -26459632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591929946?\nAnswer: 2, 3, 32884997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35520.67069 rounded to one decimal place?\nAnswer: -35520.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h - 10 = 0. Suppose 3*z = a + h + 5, -a = 3*z - 17. Solve 2*g - 1 = g, z*g = 2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 9*y + 10*y - 384540 = 0. Is y a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 162.93?\nAnswer: 163.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 5*u + 6. Let w be z(-6). Suppose 910 = 11*m - 24*m. Let r = m + w. Let d(k) = 2*k**2 - 3*k + 2. Calculate d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 1, j: 1, s: 2}. Give prob of sequence zsj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -9*o + 5\/6*o**3 - 1\/12*o**4 - 2*o**2 + 0. Let s(r) = 0. What is r?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Find the first derivative of -5 + a**2 - z + 2*a**2 + 3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18274944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 4. Let r be h(5). What is the greatest common divisor of 56 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -6 - (11 + -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 617142661*a**3 + 7*a**2 - 2*a + 54269 wrt a?\nAnswer: 3702855966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, g: 12}. Give prob of sequence goog.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*c + 34. Is 13 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 605370 and 1530?\nAnswer: 1816110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 0*c + c**3 + 0*c + 3*c. Let g be 0 + 4*(2 - 1). Let i(u) be the first derivative of 3*u**4\/4 + 4*u**2 - 8. Determine g*a(t) - i(t).\nAnswer: t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3522\/14 + 18\/42. Let t be 4\/22 - b\/(-66). Sort 0.02, t, 5 in decreasing order.\nAnswer: 5, t, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = x, 0 = 4*x - 0*t - 4*t - 28. Suppose 0 = 3*m - 2*m. Let b be (m + -1)*(-7 + 0). Solve -b = -5*o - 5*j + 33, -x*o = -2*j - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15751 (b) -7\/101 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from woutuhuuh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5692731241 + 69?\nAnswer: -5692731172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/(-105)*3 + (-4)\/14. Let h be (7\/((-7)\/(-6)))\/1. Let q(w) = -w**2 + h - 6 - w**3. Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.56064067 - -9533?\nAnswer: 9500.43935933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.79739 meters to centimeters.\nAnswer: 2879.739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrfrrrf. What is prob of sequence rf?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let z be (0 - -4)*h\/4. Suppose 3*f - 8 = -5*m + f, -2*m + 2 = z*f. Solve m*j = 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*k**2*p**3 - 3*d**3*k + 54*d**3*p**3 - 2*d**3*p**2 + 2*d**2*k**2*p**2 + 29*p**3 - 61*p**2 wrt p?\nAnswer: -12*d**3*k**2 + 324*d**3 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 f when three letters picked without replacement from {d: 11, q: 7, f: 1}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, -2 in descending order.\nAnswer: 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -14. What is the smallest value in 4, i, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30659 - 30660. Let d = -0.5 - -1. Put d, 0.2, -0.6, n in decreasing order.\nAnswer: d, 0.2, -0.6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - 0 - 12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54596, -109192, -163788, -218384, -272980, -327576?\nAnswer: -382172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410757521?\nAnswer: 6829, 60149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -178*d + 4327. What is n(21)?\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -473.0538 + 0.0538. Let l = g + 698. Let c = l + -219.16. What is c rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/3 + 106*h\/3 = 0. Calculate h.\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*(2 + 0). Let h = 14\/15 + d. Let y = 0.2303 + 3.7697. Which is the nearest to h? (a) -2\/7 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040384 to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7115 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 191296.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5022 - 5022.3. What is the second smallest value in 5, f, -1\/5, 19, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v + (0 + 3 - 2)*(-v + v + v))*(0 + 0 - 4*v)*(6 - 13 + 8).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 209*p**2. Let f(x) be the second derivative of x**5\/120 - 11*x**3\/2 - 2*x - 26. Let z(s) be the second derivative of f(s). Calculate h(z(a)).\nAnswer: 209*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztdbtttlztbldtl. Give prob of picking 1 t and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, m: 2, z: 1, s: 1}. What is prob of picking 1 g and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 47, -0.3 in increasing order.\nAnswer: -25, -0.3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 - 4 + 15*r**2 + 5 wrt r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - l**2 - 12*l**4 - l + l**3 + l**4 + 12*l**4 to the form q*l + r*l**3 + p*l**2 + k + w*l**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1464918436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 656750 by 65675.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 397.33 + -401. What is j rounded to 1 dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6122863 is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2222248, 8888951, 20000108, 35555719, 55555784, 80000303, 108889276?\n\"Answer: 2222227*h**2 + 22*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) 0.3 (c) 7.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.66 + 2.04. Let j = 11 - s. Let v = j - 0.1. Is v equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 4. Let z(c) = c**2 + 1. Calculate -n(r) + 4*z(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from lfffonffqnfq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 3 + 3)*(2*s**2 + 0*s**2 - 7*s**2) to the form z + q*s + w*s**3 + o*s**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i + 13 = 5*f - 55*i, -5*i - 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/293 and 49\/40.\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*l**2 + 274*l**2 + 278*l**2 - 1452*l**2 + 246*l**2 + 273*l**2.\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**3 - 69*i**2 + 312*i - 324 = 0.\nAnswer: -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3465277 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - ((-2 - (1 + 2)) + 1041 + -1048)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/839 greater than 77052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1350 + -255?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 2, m: 1, d: 2, c: 1, i: 1}. What is prob of sequence ci?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16815 + -127?\nAnswer: -17043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let z = v + -3. Suppose -z*l + 1 + 3 = 0. Solve d = -l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 6*q**5 - 3*q**5 + (-4*q**4 + q**4 + 4*q**4)*(-1 + 2*q + 1) + 0*q - q**5 + 0*q - 71*q**5 + 4132*q**2 - 4132*q**2.\nAnswer: -69*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -42000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = 5*m. Let h = 22 + m. Let v = h - 2. What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110, 1025, 3654, 8855, 17486?\n\"Answer: 143*m**3 - m**2 - 83*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 548666.9km?\nAnswer: 54866690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.47912m in nanometers?\nAnswer: 63479120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/50124 and 34\/29239.\nAnswer: 350868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g. Suppose 7 = -2*b + 3*p + 2, 5*p - 5 = 5*b. Let r(j) = -j**2 - 3*j**b + 27 - 27. Calculate r(x(d)).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20780 divided by 10390?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12\/5 (b) -3 (c) -3\/7 (d) 2\/407 (e) 11 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11971\/4 + -5637\/2. Let n = c - 172. Find s such that 3\/4*s**3 - 3\/2*s + 3\/4*s**5 + n*s**2 - 9\/4*s**4 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10\/13)\/i)\/i**(-6))\/((i*i\/((i*i**(-3\/4))\/i))\/i**(-10)) assuming i is positive.\nAnswer: i**(-443\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d**2 - 2*d**2)*(1 + 1 - 9) + (1 - 1 + 2*d**2)*(2 + 4 - 4).\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 327, 1190, 2629, 4644, 7235?\n\"Answer: 288*y**2 - y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:46 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-20))\/(2\/(-10)). Let f be 3\/(-6) + r\/4. Let p(o) = -28*o - 3. Let c be p(f). Solve -c = u + 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-36) - (-19 + 17).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/3 + -2)*-1. Let u(k) = -k**3 + 4*k**2 - 2*k. Let n be u(3). Sort n, -3, a in descending order.\nAnswer: n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.028403 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920 is divided by 223.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(50) - sqrt(500)\/(sqrt(10) + sqrt(160))) + sqrt(50)))\/((sqrt(60) + (2*sqrt(480))\/sqrt(8))\/sqrt(6)))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*sqrt(343)*-2.\nAnswer: 3 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 207 in -0.3, -1\/29, -2\/11?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/5)\/u**(-4)*(u\/u**(1\/2))**(14\/9) assuming u is positive.\nAnswer: u**(242\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87020.85 days in microseconds?\nAnswer: 7518601440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 129, -467, -1283?\nAnswer: -2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 40*l**3 - 6*l**2 - 34*l + 124. Let s be h(3). Is s >= 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v + 26. Let n(a) = -1. Let x(p) = -6*n(p) + r(p). Let q be x(-4). Calculate the highest common factor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*(1*sqrt(65) + sqrt(65)))\/(sqrt(1600)\/sqrt(5)))**2.\nAnswer: 133\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -0.0523.\nAnswer: -0.5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from kkkqlqqqllkrrkk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 4841?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523011 at most as big as 1523011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 7*r + 2 = 0, 3*x - 59 = 7*x - 43847*r + 43850*r for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(18) + sqrt(33))\/(sqrt(3) - -4*sqrt(12)))**2 + (sqrt(275) - (sqrt(275) + 1) - (sqrt(44)\/(-2*sqrt(4)) + sqrt(11)))**2*-4.\nAnswer: -10759\/729 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 374621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010011011011 + -10011011?\nAnswer: 1010010001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110011422 - 10?\nAnswer: -110011432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 16 = -2*h + 3*z, 3*h - 2*z = 23. Suppose 3*g + 4*q + 8 = 0, g - 4*q - 1 = h. Suppose g = d + 3, -4*v = 2*d + 3*d - 177. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -37*w**6\/240 - 46*w**5\/15 - 313*w**4\/48 + 3*w**3\/2 - 577*w**2. Determine j so that g(j) = 0.\nAnswer: -9, -1, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(2))\/sqrt(4) - sqrt(13)) + sqrt(13) + (sqrt(143)*1 - sqrt(143) - sqrt(143))\/sqrt(11) + -3*(sqrt(208)*-1)**2*1.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3e (base 15) to base 3\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1874, 3560, 6350, 10244?\n\"Answer: 552*s**2 + 30*s + 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1350, 2456, 3562, 4668, 5774?\n\"Answer: 1106*i + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 3. Let c(h) be the second derivative of h**3 - h**2 - 14*h. Give 3*c(i) + 2*t(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = 3*a + 12*a. Let b(z) = z**2 + 42*z + 300. Let o be b(a). Let h(m) = -2*m**2 - 5. Let k(j) = -j**2 - 3. Determine o*h(g) - 5*k(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2122, -2117, -2112, -2107, -2102, -2097?\n\"Answer: 5*v - 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -28.9. Which is the third biggest value? (a) -2 (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -7*i + 5*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: Let y be 58\/10 + -1*3. Let m = -2 - -7. Let y*i**4 - 4\/5*i**3 + 0*i - 2\/5*i**2 - 8\/5*i**m + 0 = 0. Calculate i.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20061299 is divided by 372.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380231 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 5*w - 980164 + 980247, 5*k + 56 = 3*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (3\/3 - 1). Suppose -5 = -5*i + a*v - 3, -3*i - 3*v = 15. Let h be ((5 + -2)\/3)\/1. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*z + 3. Suppose z*a = a + 320. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 79106464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 220292913 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 801*a**3 + 0*a + 21 - 943*a**3 + 0*a - 33 to o*a**2 + q*a**3 + f*a + z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:15 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and -93446291.\nAnswer: -93446306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v + 5*j + 5, -12 = 4*v - 3*j. Is -2*(v - 10\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26226, -52158, -78090?\n\"Answer: -25932*l - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/120 - 3*i**5\/10 + i**4\/12 - 9*i**3\/2 + 2*i**2 - 138. What is w(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 32 = -14*v. Suppose s = 1 + 1. Suppose v = s*h - 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: What is prob of picking 1 n, 1 p, and 2 w when four letters picked without replacement from {d: 4, w: 4, p: 3, n: 8}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z - 9. Let d be j(-6). Let g = -99 - d. Solve g*a + a = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/7 + 1083*j**4\/7 - 97194*j**3\/7 - 99366*j**2\/7 + 97197*j\/7 + 98283\/7 = 0. Calculate j.\nAnswer: -1, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11080*a = 19052*a + 637760 for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from zlhlxhhlhlbzhlql.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145109\/10 + 14511. What is the fourth smallest value in 8\/7, -4, 2\/15, c, -11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7438*i**3 + 33570 wrt i.\nAnswer: -22314*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43949 and 18570.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 15*r - 8. Let g be v(-14). Let o be (7 + -15)\/((-4)\/g). What is the greatest common factor of o and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.094814 - -0.015186. Let l = -8 - -5. Which is the smallest value? (a) 0.5 (b) 2 (c) i (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/6 + 103*x. Let i(g) = -2*g**2 - g + 5. Let d(l) = l**2 - 4. Let v(z) = -3*d(z) - 2*i(z). What is -2*r(b) - v(b)?\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(-5 + sqrt(48) + -3))**2.\nAnswer: -576*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from taaexe?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 203 = 3*w. Suppose -4*d = 36 + w. Find the common denominator of (-30)\/4*(-35)\/d and -16\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 675444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 361361496 take away 0.05?\nAnswer: 361361495.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*g - 5 - 1, -5*p = g - 6. Let w = 17 - 10. Solve 2*z + 1 = -o + w*z, p*o + 3*z = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + 2. Suppose 41 = -3*c + 32. Let o(k) = 8*k**2 + 5. Determine c*o(d) + 7*s(d).\nAnswer: 4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 178*h - 1835. What is v(-10)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120862 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/2 - 228*k + 457\/2 = 0. What is k?\nAnswer: -457, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 973, -4, 4, -34, -6 in ascending order.\nAnswer: -34, -6, -4, 4, 973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2817 + -2796. Solve w - x = -20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Let k be -3*((-10)\/m)\/(-5). Put k, 1, -6 in increasing order.\nAnswer: -6, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 17. Let w = 51 + -47. Let o be d(w). Find the common denominator of -32\/27 and 475\/(-168) + 2\/o.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1656)\/299 - -6 - 816\/(-260). Factor 2\/5*v**2 - 12\/5*v + s.\nAnswer: 2*(v - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -176387 in -1, -3\/2, 4, 1\/2, -1\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-45))\/(4\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 8 + -2 + -7 + 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2802*v + 190 = -2792*v. Solve -m - 3*m = 5*y, y + v = 3*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/6 - 2*y**4\/3 - y**3\/2 + 7*y**2\/3 - 4*y\/3 = 0. Calculate y.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14871 - -14867. What is the closest to -2\/11 in 0.2, 155, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 + 50*f - 80 = 0 for f.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 = 3*d. Factor -2 - b**d + 2*b**5 - 2*b**3 + 2*b**2 - b**4 + 2.\nAnswer: 2*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(91)*-1 + sqrt(91))*4)\/(5*sqrt(63) + (sqrt(252) + sqrt(7))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -476777\/24 - -19866. Which is the closest to o? (a) -0.3 (b) -3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144.92 + -820. What is x rounded to zero decimal places?\nAnswer: -675","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5508?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 + 1 = 0, z - 3*v = 268. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let r(c) be the third derivative of -c**4\/6 - c**3\/3 + 31*c**2. Calculate -5*q(o) + r(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230033 (base 4) to base 5.\nAnswer: 42311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + 3*sqrt(7))**2.\nAnswer: 90*sqrt(7) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7 (b) -1.01 (c) 0.06 (d) 2 (e) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000607769 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -485895, -485834, -485777, -485730, -485699, -485690, -485709?\n\"Answer: -t**3 + 4*t**2 + 56*t - 485954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6710 + 6715. Solve 6 = -d*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 11. Let t = l + -25. Differentiate t + 14*w**4 - 34*w**4 + 13 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 = 18*k - 2*k. Solve 52*t = k*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83794408 by 2038.\nAnswer: 41116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000795225 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 + 11161*p**2\/7 + 2117401*p + 5261678103\/7.\nAnswer: (p + 737)**2*(p + 9687)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4. Let k(v) be the first derivative of -v**4\/4 + v**3 - 3*v**2\/2 - 1. Let g be k(2). Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttwttwtwttttv.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189874 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142.36 + 123. Let u = -19 - k. Let i = u - 0.312. Round i to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2616 - -2621. Let o = -12\/5 - -98\/45. Which is the second biggest value? (a) 1 (b) o (c) -1\/9 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**18)**(18\/7)\/((n*n*(n**(2\/11)*n)\/n)\/(((((n*n\/(n**(-20\/3)\/n))\/n)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(11497\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462218205.\nAnswer: 3, 5, 157, 196271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9 + 3*l**2 - 11 - 2*l - 14. Suppose 3*d + 15 + 0 = 0, 4*n = -2*d + 10. What is the remainder when o(-3) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 + -1.7. Let b = 8.3 - 8. Put b, 3\/4, s in ascending order.\nAnswer: b, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*o + 35, 4*y + 404*o - 84 = 400*o. Solve y*i + 160 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206325 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-5)\/(-3) - 1). Let u = p + 2. Suppose 3*o = w - u*w + 42, -3*o - 2*w + 42 = 0. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18*(-1)\/2 - -2. Let f = t - 6. Let p = 0.24 - 5.24. Put f, 1, p in descending order.\nAnswer: f, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 14 = -c, -3*b + 0 = -5*c - 34 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -19362614.29 and -0.05.\nAnswer: -19362614.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 701 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/30 + s**4\/24 - s**3\/6 + s**2. Let z be m(1). Suppose -2 + 8 = z*h. Solve 0 = h*k - 16 + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - -12)*(-80)\/(-15) is divided by 26 - 4\/(-10 + 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*a**2 - 51.\nAnswer: -210*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(304))*-4 + 3 + (sqrt(209)\/(sqrt(22)\/sqrt(2)) - (sqrt(19) + (sqrt(1216) - (sqrt(1216) - -1*sqrt(1216)) - sqrt(1216)))) + -3)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1713 and 6?\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -552 - -555.01. Let z = -0.01 + s. Let o = -0.4 + 0.2. Put o, -4, z in decreasing order.\nAnswer: z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/21 - 3739678*p\/21 + 2493116\/7.\nAnswer: 2*(p - 1869837)*(p - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13627547839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3 - 9*a + 0 - 3*a + 10*a. Calculate h(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -770*o**2 + 230*o**2 - 8 + 199*o**2 + (2*o - 3 + 3)*(0*o - o + 2*o) + 4*o**2 - 2*o**2 - o**2 as i + h*o + r*o**2 and give r.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 11*m**3\/3 + 31*m**2\/2 + 16. Find the second derivative of b(a) wrt a.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 756845.\nAnswer: -13\/756845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 1. Let p(w) = -15*w**2 + 4. Suppose -110*h + 5 + 26 + 79 = 0. What is h*p(d) - 3*b(d)?\nAnswer: -12*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -0.1, 0.19, 1\/5, -0.24, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**27*g**11\/g)\/(((g*g**(-6))\/g)\/g*g**(-2\/23)\/g))**(-1\/73) assuming g is positive.\nAnswer: g**(-1037\/1679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 4. Let x be z(3). Suppose -x*m + 3*m = 170. Let j be (2 - m\/(-16))*1. What is the closest to 1 in 3, -2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4070803 >= -4070732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/10 - 9*s**4 - 104*s**3\/3 - 2*s + 765. Find b, given that y(b) = 0.\nAnswer: -52, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**2*y + 160*r**2 + 81*y wrt y.\nAnswer: -2*r**2 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 5*b**2 - 3*b + 3. Let n be m(4). Suppose -g = -5*s - 3, 6*s = 2*s + 4*g - 12. Let q = s + n. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1261040.16+64448\nAnswer: 1325488.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 427*u**2 - 85 wrt u.\nAnswer: 854*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 54871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3267 - 203896 = 3289*n for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**2 - 6*r + 5. Determine h(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 - 1 = 0. Let v = 1661 + -1659. Suppose -w + q*h = -153, v*h = w + 2*w - 431. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 294460759, 294460758, 294460757, 294460756?\n\"Answer: -g + 294460760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -192 or -194?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - 3*j + 11. Let i = 14181 + -14183. Let n(r) = -3*r**2 + 2*r - 10. Give i*l(k) - 3*n(k).\nAnswer: k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*x. Let a = -903 - -828. Let l be (x\/(-5))\/(5\/a). Solve 0*z + z = 4*g + l, -z + 10 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j + 6. Give z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 9*a**2 - 12*a - 7. Calculate s(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:20 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**3 + 50719 - 101345 - 4*a**2 + 50626.\nAnswer: -9*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2032 - -3?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 16 = -4*w, 5*w - s = 8*w + 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413971 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 19 - 36 + 17 + 17*n**2 to j*n + b + w*n**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - -6.04. Let p = s - 6.5. Let w = 3\/133 + 221\/1995. Which is the third biggest value? (a) w (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o + 2*o)*(21 + 90 - 160)*(-4*o + 2*o + 5*o) in the form v*o**2 + u + z*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249775*i**3*w**2 + 47*i**3*w - 2*i**2*w**2 - 18*i**2*w - 20*i + 21*w wrt w?\nAnswer: 499550*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*o**2*v**2 - 7*o**2 - 3*o*v*z - 4*v**3*z - 5*v*z wrt v?\nAnswer: -226*o**2 - 24*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -335714*h. Let b(d) = -d**2. Give c(b(k)).\nAnswer: 335714*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/282 and 20\/6251.\nAnswer: 37506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 0 + 0)*(1 - 2 + 4 - x).\nAnswer: -x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.61 - 1.456. Let l = -12.254 + z. What is l rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllp. What is prob of sequence pl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4.4, 5 in ascending order.\nAnswer: -4.4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a15aa09 - 1?\nAnswer: -a15aa0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -15*q**2 - 1243*q + 145. What is y(-83)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28704 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**6\/120 + 17*c**5\/40 + 49*c**4\/16 + 47*c**3\/6 + 19*c**2\/2 + 390*c. Factor z(i).\nAnswer: -(i - 38)*(i + 1)**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4 = 29. Suppose -2*o = -f*r - 154 - 129, r = -4*o + 621. Let c = 427 + -413. Calculate the greatest common factor of o and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 6*k - 6. Let x be w(2). Let d be ((-14)\/(-8) + x)*-4*3. Is (4\/((-16)\/(-388)))\/(1\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2924 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768)*-1)\/(sqrt(400) + sqrt(400) + sqrt(400)*2))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**2 - 3*g + 1. Let r be y(1). Let n(v) = v**3 - 8*v**2 - 8*v - 1. Let b be n(r). Solve -b*m = -5*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a + 11. Let g be q(3). Is 1\/((-3)\/(-7158))*1\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q**4 + 23*q**2 - 321?\nAnswer: 12*q**3 + 46*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37264574, 37264608, 37264642, 37264676, 37264710?\n\"Answer: 34*n + 37264540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -13, -22, -33, -46, -61?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2\/15 (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19\/5*o + 32\/5*o**2 + 2\/5 + 3*o**3 = 0.\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 26*p**2 + 9*p - 3. Let g be d(2). Is 0.1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3. Let h be k(1). Let g be (32\/(-48))\/(h\/(-12)). Solve g*i + 6 = 2*m, -m - m = 4*i + 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 - -462106 - 1\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -28 + 48 + -74\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 748 (b) -2\/7 (c) -50 (d) 2\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mml when three letters picked without replacement from llllmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 17 = 2*i, -11717*i = -11719*i - 2*x + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 != -356\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -365.09*0.0476\nAnswer: -17.378284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*b + 75, g - 7*b + 25 = -3*b. Let z = -15 - g. Let p be 936\/40 + 6\/z. Calculate the highest common factor of p and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + sqrt(50) + (sqrt(50) - sqrt(50)*2*5))*5)\/((sqrt(10) - (2*sqrt(1210) - sqrt(1210))) + sqrt(10) + sqrt(110)\/(sqrt(11)*2)) + -3.\nAnswer: -3 + 70*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -1262662527.1.\nAnswer: -1262662524.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + u - u + (-2*u**2 + 6*u**2 - u**2)*(-7*u + 3*u + 3*u) + 3*u - 3*u - 2*u**3 + 5*u**3 - 7*u**3 + 18*u**3)*(-u - 5*u + 3*u).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/108)\/((-376)\/470 - (-14)\/30).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0143072 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -16*p + 76. Suppose -p*t + 1712904 + 504396 = 0. What is t rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + (-1 - -16 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 109613?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -200*a + 1 + 100*a - 18*a**2 - 3 + 99*a - 191*a**2 as k + p*a**2 + x*a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 680, -2, -4, 1 in decreasing order.\nAnswer: 680, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -277 - 9547?\nAnswer: -9824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -580994548 + 1619812771243\/2788. Let u = -2406 - -1676981\/697. Let p = u - o. What is the common denominator of p and -39\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4082, 8153, 12226, 16301?\nAnswer: 20378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-93 + 8*r + 93)*(-r + 0*r - 2*r + (3 - 3 + 1)*(-2 + 2*r + 2)) in the form w + k*r**2 + b*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*l**2 + 168855400*l + 72735066605000.\nAnswer: 2*(7*l + 6030550)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 83940.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*c - 205*c = -1989 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 - 3. Suppose 14 = 2*a, 52 - 59 = 4*f - a. What is the fourth biggest value in f, -0.4, 0.1, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 524*l**4*r - 5113*l**2*r**2 + 16*l*r**2 - 3453414*l wrt l.\nAnswer: 6288*l**2*r - 10226*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 6*w**2 + 4*w - 6. Let r = -628 + 633. Suppose 3*v + 40 = -r*v. Determine p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9*c - 8. What is the units digit of k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/46012485 and 48\/55.\nAnswer: 506137335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2485 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 87*d**2 + 137*d + 111. What is the smallest common multiple of p(-45) and 183?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/50047 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-1)\/(-4)*-1). Let d be j\/(-5) - (-12)\/15. Factor -4\/9*h**d - 4\/9*h**3 - 2\/9*h**5 + 2\/3*h + 2\/3*h**4 - 2\/9.\nAnswer: -2*(h - 1)**4*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-366168)\/106799)\/((-15)\/14).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 9*r - 11*r. Let m(c) = -4 + 3 - r + 5*c. Calculate the smallest common multiple of 4 and m(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/7)\/n*n)\/n**(-1\/2))\/(n*n\/(n\/(n\/n**(2\/9)))*n*n**(-5\/3)) assuming n is positive.\nAnswer: n**(13\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 36*z**2 + 55*z + 18. Calculate v(-34).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -30, 5 in increasing order.\nAnswer: -30, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000532 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46013618?\nAnswer: 2, 7, 3286687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893862 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 1 a when three letters picked without replacement from bxxda?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76795*v + 77850*v - 152049*v.\nAnswer: 2596*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) -0.046 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115050 - -115049.9999861989. What is g rounded to seven dps?\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16578 to the nearest 100.\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, -5\/8, -70?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 5*o - 125 + 150, -5*x + 1 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**36\/h*h*h\/(h**(-31)\/h))\/((h**(-38)*h*h)\/h**(2\/3)))**(-7\/3) assuming h is positive.\nAnswer: h**(-2219\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -1.11?\nAnswer: 0.0555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2\/5 - 14*m - 392\/5 = 0.\nAnswer: -28, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b + 2*b)*(60 - 32 - 30 - 4*b**2) + b**3 + b**3 - b**3.\nAnswer: 9*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159893.\nAnswer: 127, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15442, -30885, -46328, -61771, -77214, -92657?\n\"Answer: -15443*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*k + 42. Let g = k + -2. Factor i**2 + 12*i**2 + 56*i**g - 4 + 71*i**3 - 12*i + 19*i**4 + 25*i**5.\nAnswer: (i + 1)**3*(5*i - 2)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lilligggccl. What is prob of picking 1 c and 2 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*p - 17 = f, -1398 = 17*f + 2*p - 1204 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229074*u**4 + 39*u**2 + 999*u**6 - 15*u + 229074*u**4 wrt u.\nAnswer: 119880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1771)\/(-92) + (-6)\/(-8). Suppose 2*y - k = -10. Solve -4*v + y*d - 33 = 0, -10 = 3*d - 25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d - 169*d + 12*d.\nAnswer: -189*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i. Let f(v) = 2*v - 6*v - v + 4*v. What is k(f(y))?\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1675701704 - 1?\nAnswer: -1675701705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*o + 10 = 5*g, -3*g = 2*o + 3. Which is the smallest value? (a) -5\/2 (b) 0.5 (c) g (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Suppose 0 = h - 3*n + 13, -6*n + 27 = h - n. Let y(c) = -c**2 + 2. Suppose -21*u + 14 = -7. Determine h*p(m) + u*y(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 49, -32, -185, -434?\n\"Answer: -4*n**3 - 5*n + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -289679519?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138864 is divided by 1967.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5215 (base 7) to base 4\nAnswer: -130201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.02. Let d = t + -4.98. What is the smallest value in d, -0.5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13807399000 to the nearest 1000000.\nAnswer: -13807000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/(57*(-3)\/(-7581)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5456884*c**5 + 3*c + 3060 wrt c?\nAnswer: 109137680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68513, 68622, 68805, 69062, 69393, 69798, 70277?\nAnswer: 70830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -37.83\nAnswer: 18.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1cd (base 15) to base 14\nAnswer: -21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-154) + (368\/161 - 2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 7, -4, -89, -5 in decreasing order.\nAnswer: 7, -4, -5, -38, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 2252196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1713 and 6852.\nAnswer: 6852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*t - 16*t - 9*t + 160*t + 2 to x*t + r and give x.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -10 (b) -2 (c) 3 (d) 8\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56399 + -34473. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160072862.\nAnswer: 2, 113, 708287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvvv when four letters picked without replacement from {v: 6, j: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o**3 - 16*o**2 - 6*o - 4. Let h be t(-3). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-8)*(-62)\/(-3) and 2006\/360 + (-4)\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -149\/107865 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (19 - -1)*117\/(-468)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202198 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*a + 5 + 916 + 1455 = 0. What is y in -3\/5*y**4 + 6*y**3 - 111\/5*y**2 + a*y - 108\/5 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9519310.73 rounded to the nearest 10000?\nAnswer: 9520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*z**2 - 21*f**2 - f*z**2 + 43*z**2 + 3 wrt z?\nAnswer: 2*f**2*z - 2*f*z + 86*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -3.01. Let k = -0.25501 - -0.05501. Which is the closest to k? (a) -3 (b) -5 (c) -0.5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5684 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000100100001110 (base 2) in base 5?\nAnswer: 31430322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*l**2*w + 21214*l**2 - 12*w + 20757 wrt l.\nAnswer: 218*l*w + 42428*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1*5)\/((1*sqrt(88))\/sqrt(11)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -487747.162003 + 0.162003. Let x = 487783.000016 + g. Let p = x - 36. What is p rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -102220202?\nAnswer: -102221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u - 74. Let a be j(-11). What is the highest common divisor of a and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18370396.\nAnswer: 2, 11, 417509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 268?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l - 11*l - 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/32 + 19*x**7\/140 + x**6\/10 - x**5\/10 - x**2. Find v such that p(v) = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41964 divided by 5?\nAnswer: -41964\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-27 + 37) - -4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*b + 4*m, -6051*m = -4*b - 6049*m + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 11*z**4\/24 + 121*z**2. Let q(a) = -3*a**2. Calculate q(x(n)).\nAnswer: -363*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 + 263*b + 63080 = 0.\nAnswer: -152, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 5*c - 4. Is 32 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {t: 3, n: 3, u: 4, l: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/100 - 204\/(-10). Find the first derivative of 6*v - 78 + 0*v**2 - 16*v**2 + m*v**2 wrt v.\nAnswer: 8*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4429216 years to decades.\nAnswer: 0.04429216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 510*u**2. Let g(c) = 2*c + 2. Let z(t) = 12*t + 8. Let h(b) = -4*g(b) + z(b). Determine k(h(x)).\nAnswer: 8160*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2)\/(-6)*1. Let z(q) = -1. Let a(m) = m - 97. Let k(u) = -a(u) - 2*z(u). What is the tens digit of k(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.24 - -0.24. Let c = -14 - -10. Sort 2, c, i in increasing order.\nAnswer: i, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 14. What is the closest to i in -1, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l. Let t be -10*(-2)\/(8\/(-2)). Put t, 1, l in descending order.\nAnswer: 1, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.28511 - -0.19789. Let k = 10.7 - w. Round k to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 20394.\nAnswer: 101970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2)\/((-12)\/(-8)). Let c be (5 - 4) + -1 + 4. Suppose -l = -3*v - 2, -l + 2*v - 3 = c*l. Put 2\/7, l, u in descending order.\nAnswer: u, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.0999 and -0.0323?\nAnswer: 1.1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29482964509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 4*y + 7. Let q be d(5). Suppose -30 = -2*k - q. Let c = k - 4. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**2 - 1190*q - 70805 = 0.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*m + 107*m = 88994 + 16254. What is the greatest common divisor of m and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5473 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -788, -1146, -1642, -2276, -3048, -3958?\n\"Answer: -69*i**2 - 151*i - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 23*z + 24. Calculate u(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - j**2 - 5*j**2 + 18*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48713.37 rounded to the nearest 100?\nAnswer: -48700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/121 and 101\/132?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 577 = -g - 5*b, 0 = 3*g - 3*b + 579. Let s = -398 - g. Let p = -132 - s. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubuuuubu. What is prob of picking 2 u and 2 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.416 + -1059090360.\nAnswer: -1059090360.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91824*x**2 + x + 103290.\nAnswer: -183648*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 5*y**2 - 23. Let o(k) = -2*k**2 + 11. Let g be 39\/8 - (-177)\/1416. Determine g*o(c) + 2*d(c).\nAnswer: -2*c**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289821.\nAnswer: 71, 32251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 2, z: 2, y: 2, p: 4}. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 10022.69?\nAnswer: 10022.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146283977.\nAnswer: 7, 37, 277, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9.13 * -318\nAnswer: -2903.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = -9*j - 239, 2 = -2*m + 2*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + 27.793648?\nAnswer: 27.763648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*v**2 + 157*v**2 + 452*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0059945967 rounded to 6 decimal places?\nAnswer: -0.005995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 21 = -2*q. What is the remainder when 59 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280 + -275. Suppose -4*c = 2*k - 674, 3*c - 599 + 111 = -g*k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160269?\nAnswer: 3, 41, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109779 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-110))\/(354\/(-885)). Which is the smallest value? (a) 5 (b) o (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 134*b - 20. Let f be h(6). Suppose 6*t = -t + f. What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1\/5)*k)\/k*k*k**(3\/4))\/(k**(-2)\/(k*k*(k*k*k**(-2\/15)*k)\/k)))**(-29) assuming k is positive.\nAnswer: k**(-3277\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 82*m**3 + 642*m**2 - 1422*m + 864.\nAnswer: -2*(m - 3)**2*(m - 1)*(m + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/25)\/((-4)\/(-10)). Let q be (a\/(-2) - -1)*-1. Let o = 0.59987 - -5.40013. Sort q, o, 3, 4.\nAnswer: q, 3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9913312g in micrograms?\nAnswer: 991331.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7147284 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 833034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + u + 15 = 0, 4*i + 15 = 9*i - 4*u. Factor -2*z**i + 8*z - 16\/3 + 2\/3*z**4 - 4\/3*z**2.\nAnswer: 2*(z - 2)**2*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 4*c + c**2 + 26145*c**3 - 13059*c**3 - 13068*c**3.\nAnswer: 18*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7797438 and 4774.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/16 and 6\/(-40)*4*(-145)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 13*n + 2323. Let d be k(0). What is the greatest common divisor of d and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 971 or -4?\nAnswer: 971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9111563 - 8?\nAnswer: 9111555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from atxxpaptnxanpnxnxpp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2590*o - 2570*o + 160 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 738.3013 - 738.2. Are 0.5 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7381\/605 - 2\/10. Solve -2*s - 2*s - x = -2*w, -15 = -5*w - 5*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.61873616 - 701106.\nAnswer: -701100.38126384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*a**5 - 33*a**4 - 2*a**2 + a + 44?\nAnswer: -3780*a**2 - 792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*c - 38, -5*c - 5 = -4*x + 44. Let z(i) = 12*i - 5 - 9*i + 16*i + 9*i + x. Let d(m) = -2*m**2. Determine d(z(r)).\nAnswer: -1568*r**2 - 112*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 9*s. Solve s*t - 3*t - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8779 + -52529\/6. Calculate the common denominator of -103\/18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17509 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/3 (b) -0.4 (c) -3.9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -5 (c) 484 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2412 + -2411.889. Let c = 2.746 - -1.143. Let x = f + c. Put 0.3, x, -0.3, 2 in increasing order.\nAnswer: -0.3, 0.3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/24 and 8\/507.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 10*l - 13. Suppose -4 = -2*v, -t + 14 = 3*v + 1. Let m be j(t). Solve 3*x - 2*k = 8, -4 = -2*x + 3*k + m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003*k = 1009*k - 6840. What are the prime factors of k?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*z + 21*a**2*z + 51*a**2 + 41*a*z + 3*a + 6*z - 1 wrt a?\nAnswer: -6*a*z + 42*z + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 1, o: 2, m: 3, v: 1, s: 8, z: 5}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2965 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2742 + 2704. Which is bigger: r or -256\/7?\nAnswer: -256\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 x when four letters picked without replacement from {x: 3, j: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/15 - 8132*q**2\/15 - 8241728*q\/15 + 16581184\/5.\nAnswer: -2*(q - 6)*(q + 2036)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b - 204 - 459 - 918 = 0. Solve m = -b + 29 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * 64.50618.\nAnswer: -14.1913596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 + -2)*0)\/2. Suppose -23*n + 24*n + 1 = i. Is 1\/12 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1002069 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -21. Let q(u) = 7*u**2 - 5*u - 5. Let a(p) = -20*p**2 + 14*p + 14. Let d(j) = y*a(j) - 17*q(j). List the prime factors of d(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhfohoooo. What is prob of sequence fof?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -156*z**2 - 3428*z + 3429. Give v(1).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 7}. What is prob of sequence zb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from rvolvvolvaohoaov?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211665, 211745, 211825, 211905, 211985, 212065?\nAnswer: 212145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10481859?\nAnswer: 3, 23, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000753682 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + -4.5. Let k = 786 + -780.2. Let u = k + g. What is the smallest value in u, 4, 2, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 1:49 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 88. Let a(j) be the second derivative of 2*j**3\/3 - 78*j. Calculate u(a(c)).\nAnswer: -16*c**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/237757 or -1?\nAnswer: 2\/237757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 27 = 24*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 107. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 5. Let n = 23 - 19. Suppose 6 - 13 = l - k, 0 = l + 2*k + n. Give u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184*g**5 - 918*g wrt g?\nAnswer: -3680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - q = -9256, -6*i - 18512 = -10*i - q. Is 52 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 522 and 4176.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - 19650\/(-282) - (-1 + (-8)\/(-3))?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 20. Suppose 2*x - 58 = 5*s, 0*s - x = 2*s + 16. Let q be t(s). Is 3 - 6 - (q - 19) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -21*v - 11. Determine u(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5732538, -22930200, -51592964, -91720824, -143313774, -206371808, -280894920, -366883104?\n\"Answer: v**3 - 5732557*v**2 + 2*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(252)*-4)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + z - 14 = -4*m, 5*m - 4*z - 115 = 0. Let j = m + -20. Let y be j\/((-4)\/(-58 + -2)). Which is greater: y or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17505?\nAnswer: 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 909*w**4 + 241*w**4 - 825*w**2 + 1485*w**4 + 825*w**2 + (w**4 + 0*w + 0*w)*(-4 + 1 + 2) to the form x*w**4 + a + u*w**3 + s*w**2 + b*w and give x.\nAnswer: 2634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 67400000 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 20. Let j(p) = 4*p - 19. What is -6*b(n) - 4*j(n)?\nAnswer: 2*n - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 292*q**2\/3 + 4864*q\/3 - 19712\/3.\nAnswer: -(q - 8)**2*(q + 308)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -446, -454, -462?\n\"Answer: -8*h - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38253 + -220370.719.\nAnswer: -182117.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/50 + 143\/(-15) and -49\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 214*r**2 + 561*r - 36956. Calculate h(106).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x + 2*x - x - x + x + 3 + x - 3 + (-1 + 1 - 2*x)*(-3 + 1 + 0) - 5*x - x + 4*x - 3*x + x + 4*x - 1 - 43*x + 62*x - 34*x.\nAnswer: -8*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232678, 232784, 232890?\nAnswer: 232996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2\/9*l**2 - 46\/9*l + 2\/9*l**4 + 0 + 46\/9*l**3 = 0.\nAnswer: -23, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1.54, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.699943 + -19.7. Round y to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 187441, 187436, 187431, 187426?\n\"Answer: -5*h + 187446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 2*f + 0*f)*(-6*f**3 - 4*f + 0*f**3 + 7*f**3).\nAnswer: -4*f**4 + 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:24 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 299390098 bigger than 299390101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3093, 12061, 26749, 47157, 73285, 105133?\nAnswer: 142701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 5*b - 5*b)*(5 - 5 - 1) - 3*b**2 - b**3 + 3*b**2 + (-2684*b**2 - 2736*b**2 - 3766*b**2 + 5495*b**2)*(-2*b + 3*b + b).\nAnswer: -7381*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 35 = 3*z - 2*z, 0 = -3*z + 3. Calculate the remainder when 71 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*x - 422 - 3790 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/60 - g**4\/6 + g**3\/2 + g**2. Let j be m(4). Let y = 14 - j. What is the least common multiple of y and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84842*h**5 + 830*h**2 + 8.\nAnswer: 5090520*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 2*k - 3*k)*(-65*k**2 - 55*k**2 + 4*k**2) to the form i + c*k**3 + m*k**2 + l*k and give c.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 6:13 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2 - 10)*0. Suppose k = -9*o - 65 + 20. Put 12, -2, -1, o in descending order.\nAnswer: 12, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 4760.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 7. Let z be v(2). Suppose 10*a = z*a + 35. Let o(g) = -18*g - 28. What is the units digit of o(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926 (base 11) in base 8?\nAnswer: -7303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*d = -89*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20945070?\nAnswer: 2, 3, 5, 53, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -495*z + 3963. Let k be r(8). Solve -v = -g - 9, -2*g - 6 + k = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 30. Suppose v*h = -h + 36. Suppose -h*c + 3*c = -36. Solve -c*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1169 + 1168. Let x be ((-2)\/(-4))\/((-15)\/(-18)). Which is the third smallest value? (a) 4 (b) 0 (c) x (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -334, -464, -568?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 + 15 - 179\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 9*a**2 - 378. Let s(h) = h**3 - 4*h**2 + 189. What is 4*n(p) + 9*s(p)?\nAnswer: p**3 + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/15 - (-5)\/25. Let x = y - -3. Let n be (2\/(-6))\/((20\/(-36))\/5). Solve -28 = -x*o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2204 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*591\/(-9)*-1*1. Suppose -5*k + 662 = x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164035 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 6*v + 9. Let t(q) = q - 1. Suppose 3*c + 18 = -0*c. Let i(f) = c*t(f) - p(f). Calculate i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 160, 238, 316?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(((-3)\/(-1))\/(-39)). Let u = 87 - 124. Let p = u - z. Solve -4 = 3*r - p*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2. Let c(u) be the second derivative of -u**3\/2 + 7*u. What is c(h(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = 14*w + 736 - 202 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 12*p**2 - 42*p**2 + 4*p**2 - 33*p**2 + 9*p**3.\nAnswer: 9*p**3 - 59*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/60 - 3*h**4\/2 - 37*h**3\/6 - 19*h**2. Solve i(j) = 0.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 599, 879, 1163, 1451, 1743, 2039?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264770807.\nAnswer: 3, 457, 922517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -827195, -827218, -827241, -827264, -827287?\nAnswer: -827310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 9*c**2 + 6*c - 2. Let r be j(-10). Suppose -4*x - x + r = 2*b, -x - 40 = -3*b. Calculate the remainder when 39 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3302*a**3 + 6*a**2 + 3*a - 3. Let y(q) = -3628896*q**3 + 6592*q**2 + 3296*q - 3296. Calculate 3296*x(m) - 3*y(m).\nAnswer: 3296*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 13) to base 16\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14645123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 5, x: 6}. What is prob of picking 4 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + (-16)\/(-4) - 2. What is the units digit of -3 - 8*39\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1082366*-0.6.\nAnswer: 0.06494196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 3\/2, -2\/9, 0.06?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011135 to 5 decimal places.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -38. Let g(b) = b - 5*b + 6 + 2*b**j + 0*b. Let m(d) = 2*d**2 - 3*d + 5. Give -4*g(p) + 5*m(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and -4 + (54 - 3) + (-2 - 3)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 29 = 23. Let g = 2386.9 - 2387. Which is the third smallest value? (a) 0.5 (b) 3 (c) g (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 345*c**2 - 7*c - 992. Let d(z) = z**3 + 173*z**2 - 3*z - 493. Let h(g) = 7*d(g) - 3*j(g). Differentiate h(m) wrt m.\nAnswer: -6*m**2 + 352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -7754 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 43.5. Let y = r - 6. Which is the fourth smallest value? (a) 0.5 (b) 0.3 (c) 4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/1040)\/(5\/(-400)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 11. Let f be (-14)\/(-35) + (-28)\/(-5). Let t = -16 + f. Is u(t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163\/87 + 1\/696. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -7\/95 (b) -45571 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z - 47 - 1 + 5 + 11*z to i*z + x and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + z. Let t(g) = 4*g**3 - 2*g + 15. Determine -6*q(o) - 2*t(o).\nAnswer: -2*o**3 - 2*o - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17908000 rounded to the nearest one hundred thousand?\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 13. Let r be f(-9). Let v(p) = -2707*p + 35194. Let z be v(13). Solve -5*w + r + 1 = -3*b, w + 6 = -z*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 42 = -8*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1164, -1159, -1134, -1077, -976, -819?\n\"Answer: 2*u**3 - 2*u**2 - 3*u - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 3. Let f be o(-3). Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 672.7822l?\nAnswer: 672782.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -10 - 14. Solve j = -y*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**7\/210 + y**6\/90 - y**5\/30 - y**4\/6 + y**3 - 1. Let g(f) be the third derivative of w(f). Find x such that g(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + -1011000?\nAnswer: -1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14907 - -14910. Solve j*h = s + 123 - 125, 2*s = -4*h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133304 + 14040?\nAnswer: 202344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhaitthihi. What is prob of sequence hhai?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 28 - 20 + x + 15 in the form t + j*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w**2 - 9*w**2 + 5*w**3 - 15*w**2 - 11*w**2.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289 + 72167*m + 365732*m + 1289.\nAnswer: 437899*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/25)\/(x\/(x\/x**(-2\/11))*x*x)*((x**1\/x)\/x)**(-3\/20) assuming x is positive.\nAnswer: x**(-1923\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*y + 10, 6*j - 10*j = 4*y + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Suppose -s - 140 = -w*s. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (0 - 3) + 4. Let b(t) = -k + 0 + 10*t + t - 3*t. List the prime factors of b(12).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9))**2 assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8778\/(-168))\/((-902)\/656)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*m + 34. What is the least common multiple of 7 and m?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 >= 193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 5*u = 14*b - 26, -2*b + u + 10 = 0. Solve b*h - 69*l - 9 = -74*l, 2*h = l - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 63. What is the remainder when 72 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468 by -13.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175948?\nAnswer: 2, 43987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -221 + 173 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:48 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -383, -344, -301, -254, -203, -148?\n\"Answer: 2*l**2 + 33*l - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s. Suppose m - 68 - 81 = s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -67 (c) 0.197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/27972 and -149\/325458.\nAnswer: 24083892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 47\/826041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 570742.7l?\nAnswer: 570742700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) -129 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - 555 + 306 + 10*h + 287 to o + b*h and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 32*n + 3. Let y(x) = 3*x**3 - 95*x + 8. What is -8*j(t) + 3*y(t)?\nAnswer: t**3 - 29*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 2 + 2*x**2 + 0 - 2*x**3 + 4*x**3 - x**3. Calculate c(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100013, -197279, -294545, -391811, -489077?\n\"Answer: -97266*g - 2747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 171.85 and -3588.\nAnswer: -616597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47748 or -1671188\/35?\nAnswer: -1671188\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65895864 a multiple of 1475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 748938*i**2 - 2830*i - 35 wrt i.\nAnswer: 1497876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2.5, 32, -1\/3, -1.19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.465 + 14.465. Suppose 4*w - 2 - 2 = 0. Suppose -w = -q, v + 2*q + q - 2 = 0. Which is the second biggest value? (a) 3 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 49*d**6\/24 + d**5\/30 + 65*d**3\/6 + 186*d**2. Find the third derivative of t(v) wrt v.\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -64.943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/(1\/(-9)). Suppose -h + 0 = 2. Let w be (-3 - (-15)\/v)*h. Which is smaller: -2\/23 or w?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-44)\/(-33)*3 - -8 and 327?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/11)\/(6976\/9592)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126269 - -2510.52.\nAnswer: 128779.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*b*h**3*i**2 + 4*b*i**2 - 7*b + 2*h**3*i**2 - i**2 wrt h.\nAnswer: 96*b*h**2*i**2 + 6*h**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -23 = -a*k - 513. Let q = k + 496. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001110 - -11?\nAnswer: -10010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*s + 13 = 0, -1 = 2*q + 2*s - 3*s. Let x be 0\/(0 + (q - -3)). Suppose x = -c - 3*c + 148. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*t - 0*z + 11, -z = 5*t - 14. Suppose -2*v - 55 = -t*v. Calculate the remainder when v is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 10440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 - 54*o - 392. Let d be n(-10). What is the highest common divisor of d and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 1.1.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -50. Suppose 15*t - r*t = -78. Let m = 27 - t. Solve -6 = 2*a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80.6 in -3, -2\/7, -336, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1 + -1)\/(-2) + 1. Which is smaller: n or 3\/25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-10 - 2) + (19 - -9) + -30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 35397*o**2 + 1273031*o - 1237635.\nAnswer: (o - 35361)*(o - 35)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251560152.\nAnswer: 2, 3, 17, 19, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7298906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.92 - -0.08. Let y = 7 - r. Let j = -65\/6 + 21\/2. What is the nearest to j in -4, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1388755\/108 + 12859. Find the common denominator of 115\/108 and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3216, 0, 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 6 - -9 - (-1 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Suppose -8 = 3*w + l, -5*u - 4*w = -43. Let v = -5 + u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**2\/2 + g + 2. Let a be u(3). Let t(j) = j - 4. Let v be t(a). Solve v = w - 2 - 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4106863, 4106851, 4106841, 4106833?\n\"Answer: h**2 - 15*h + 4106877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16500.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016084 to four decimal places.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 100\/27 and -2\/61 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*t - 51 = -1251 - 3552 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 - 2*w**4 - w**4 + (-2*w**2 - w**2 - 2*w**2)*(w - w + w**2) + (-108*w**2 - 79*w**3 + 108*w**2)*(-2 + 2*w + 2).\nAnswer: -165*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {l: 2, x: 1, n: 1, v: 1, b: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**3 - v + 6. Let f(b) = 1. Determine 6*f(s) - u(s).\nAnswer: -10*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 1. Let c be t(1). Solve -4*v + 3*v - c*a = 12, -a - 5 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352347*m**3 + 4 + 352519*m**3 - 1 + 3*m + 2*m**4 to q*m**3 + r*m + k + c*m**2 + z*m**4 and give q.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -490679155*k**5*u**3 + 4*k**2 - 34664771*k*u**3 wrt k?\nAnswer: -29440749300*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 + 3*a - 3. Let o(w) = 17*w**2 + 11*w - 16. Give -o(g) + 6*r(g).\nAnswer: -35*g**2 + 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*(sqrt(136) + sqrt(136)*-3))\/(-2*sqrt(200) + sqrt(8)) + 1).\nAnswer: -4 + 16*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -36. Suppose 3*b = -2*b + w. Solve 2*n = b*t + 15 + 9, -t + n = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iximiimmiiimmxxxxxx. Give prob of sequence xxxx.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 6.93. Let w = i - 0.13. Let g = -5 + 8. What is the second smallest value in g, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -565504, -565534, -565564, -565594?\n\"Answer: -30*f - 565474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149\/690 + 3\/230. Find the common denominator of 32\/3 and a.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(-8))*m*m**(1\/2))\/(m**4)**(2\/3) assuming m is positive.\nAnswer: m**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 - 2*s**4 - s**4)*((-2 - 1 + 2)*(-1 - 4 + 1) + 3 + 0 - 5 - 3 - 1 + 6 + (1 - 1 + 1)*(0 + 2 + 0) - 1850 - 1861 + 3122).\nAnswer: 1166*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457423368 - 2*c**2 - 457423368 + 29*c + 38*c**3.\nAnswer: 38*c**3 - 2*c**2 + 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122.95 + 128. Let r = q + -0.05. Which is the second smallest value? (a) -0.1 (b) -1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 0.4 (c) 2\/3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57\/11 - 10*8\/440. Solve 25 = 5*j + y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 8*h - 16. Let k be b(7). Calculate the greatest common factor of 234 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24361)\/17196*((-8)\/10)\/((-5)\/(-25))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 161, 306?\n\"Answer: 145*h - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1176 by 12.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -386\/11625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*k**2 - 2*b**3*l**3 + b*k - 3*k**2*l - 60*k**2 + l**3 wrt l?\nAnswer: -6*b**3*l**2 - 3*k**2 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**5 - 15*q**4 - 15*q**3 - 5*q**2. Let d = 9 - 5. Let v(p) = 7*p**4 + p**2 + 8*p**d + 4*p**2 + 15*p**3. Let z(w) = -5*s(w) - 6*v(w). Factor z(l).\nAnswer: -5*l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o**2 - 5*o - 5. Suppose 0*p + p + 5 = 0. Give s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 19.4. Let l = d + 0.7. Let h = l - -0.9. What is the third smallest value in h, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.8 + 15. Let t = c - 2.1. Let l be 8\/(-10) - 2\/(-2). Is t < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let l be (1 - j) + 130 + -6. Suppose -5*b + 4*b = 3, -5*t = 5*b - l. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z*z)**(-13)*(z*z**1)**(-49)*(z*z\/(z\/z**(-5)))\/z**(-5)*z*((z*z**(-2)\/z)\/z)\/z*z**6 assuming z is positive.\nAnswer: z**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(28\/7))\/((-7)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6, p + 109 - 172 = -2*l. Let y(x) = -6*x**3 + x**2 + x + 1. Calculate the remainder when p is divided by y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1537 in -1, -3\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*l**3*r**2 - 8*l**3*r + l**2*r**3 + 1466*l*r**3 + 142220*r wrt r?\nAnswer: 102*l**3 + 6*l**2*r + 8796*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5*a = 10. Suppose 3*d + 0 = 4*y + 4, d + 3*y - a = 0. Suppose -p = d*p - 180. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-192))\/((-4)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 10) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*(-3 - -1). Is -12*(a - 4\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28922382 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150797847 is divided by 37699460.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (25 - 46) - (0 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 6*q**2 + 8*q + 1. What is the units digit of w(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 5) to base 13.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 divided by -4?\nAnswer: 365\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1700)*-2.\nAnswer: -20*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79743418553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 92 = 40. Let h = 119 + -38. Calculate the remainder when h is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2. Let c be (-3)\/(-15) - 33\/15. Let i = -1 - -3. Let k(h) = 3*h**2 + h**2 - 3*h**i + h + h**3. What is c*k(p) - 2*y(p)?\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368718 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 436*o + 594*o**2 + 283*o - 290*o wrt o.\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - -95) + -4)*2. Suppose -d = -2*c - 4*t + 142, 0 = -c - t + 161. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -7. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/106081236 and 19\/11786804.\nAnswer: 106081236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from lzooloo?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-97 - -66 - -77).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1466277 in increasing order.\nAnswer: -1466277, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2 - 144*m - 519. Give o(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 1258*q + 24 - 1096*q)*(4 - 1 - 1) + (3 - 1 - 5)*(2 - 2*q - 2) in the form a + t*q and give t.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 256, 254, 252, 250, 248, 246?\n\"Answer: -2*q + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*x + 5*h, 3*x - 5*h = 2*x + 8. Suppose -3*g = 2*g - 5, -x*d + 8 = 5*g. Let o = 18 - 23. What is the third biggest value in 0.5, d, 1.9, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 64*l**3 - 2400*l**2 - 1212*l - 152 = 0.\nAnswer: -1\/4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4083613837\/56 - -72925187. Let p = -3512 + v. Find the common denominator of p and -3\/77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2409, 5059, 7679, 10257, 12781, 15239, 17619?\nAnswer: 19909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 1 + r - 3 + 9*r**4 + 2*r**3 + 6 - 8*r**4 as p*r + s*r**3 + k + q*r**4 + z*r**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109, -65, -89, -181, -341, -569?\n\"Answer: -34*o**2 + 146*o - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70376 divided by -5?\nAnswer: -70376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3359 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/15))**(21\/4)\/(f*f*f*(f**(6\/7)\/f)\/f*f*f*f*f**(-5)\/f) assuming f is positive.\nAnswer: f**(31\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*((sqrt(1216) + -2*sqrt(1216) - sqrt(1216))*-6 - (sqrt(1216) + 5 + 1*sqrt(1216) - sqrt(1216) - sqrt(1216)))**2 + -2.\nAnswer: -3840*sqrt(19) + 700517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120474211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 6823263.\nAnswer: -2\/6823263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -62.\nAnswer: -62, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 4 + 1)*(-3*l**2 - 12*l**2 + 3*l**2).\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26760 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*o + 261 = 82*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*g**2 + 59*g**2 + 17*g + 61*g**2 + 54*g**2.\nAnswer: -2*g**2 + 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734037325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 46275224.\nAnswer: 323926568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:37 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*i*k*o*v - i*o**2*v**2 - 3*i*o**2*v + k*o**2 + 15*k*v**2 - o**2*v + 12*o*v**2 wrt k.\nAnswer: 11*i*o*v + o**2 + 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2130 and -0.2?\nAnswer: 2129.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 45958930*x**3 + 105611438090465*x**2 + 1267332293525460*x + 3801991917018420.\nAnswer: 5*(x + 6)**2*(x + 4595887)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(28\/(-140))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*((-12)\/5)\/12*2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (3 - 1) - -1. Suppose 20 = j*f + f. What is the third derivative of 2*y**2 - 4*y**2 - 2*y**5 + 2*y**f + y**6 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blzq when four letters picked without replacement from lqlzzbzzzzlbq.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110123 and 15093?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/3 (c) 16 (d) -1\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523204?\nAnswer: 2, 11, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 20635344*k + 26613588874896.\nAnswer: 4*(k + 2579418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 2. Let d(f) = f + 3. Let k(w) = -3*c(w) + 4*d(w). Let y(m) = m**2 - 4*m - 8. Let l be y(6). Let p(u) = -3*u + 7. Calculate l*p(s) - 5*k(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 - l + 3. Let m = 12 + -15. Let n be a(m). Put n, 3, 0 in ascending order.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 815, 1220, 1625, 2030?\nAnswer: 2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*x**2 + 5*x**3 - 17*x - 24 - 12*x**3 + 4*x**3 - 19*x.\nAnswer: -3*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 448154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 3453*r + 34769. Give v(-483).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13590 + 20520 = 0. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 488\/22869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4878405 divided by -286965\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486350919?\nAnswer: 17, 23, 937, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 29*f - 15. Let r(h) = 26*h**2 + h + 1. What is r(f)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/(-42) + (-16)\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h + 122. Let o be u(-8). Solve -7*b + o*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 12:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54, -102, -148, -192?\n\"Answer: n**2 - 51*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2.41.\nAnswer: -4.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 60. Suppose 0 = -6*s + 154 - 82. What is the highest common factor of k and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 431 - 14655\/34. Let g be 10\/45 - (-7)\/9. Is g < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1590 times -0.121\nAnswer: 192.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -844982398 to the nearest 1000000.\nAnswer: -845000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**3 - 1085*n**2 + 1087*n**2 + 0 + 3*n - 2 in the form c + q*n + x*n**3 + b*n**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -4*x - 55. Suppose -x*s + 167 = 7. Do s and 39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2495846*f. Let t(r) = -2*r**2. Determine t(a(d)).\nAnswer: -12458494511432*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6589, -27096, -61521, -109858, -172101, -248244, -338281?\n\"Answer: w**3 - 6965*w**2 + 381*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 11*v**2 - 8*v + 1. Let b(h) = -2*h**3 - 23*h**2 - 16*h + 3. Let x(y) = 3*b(y) - 7*d(y). List the prime factors of x(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 2, i: 3, c: 5}. Give prob of picking 1 c, 2 o, and 1 t.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 + 0 = 4*d, -17 = 3*d - 4*a. Let u(x) be the third derivative of -x**4\/3 - 3*x**3\/2 + 189*x**2. What is the tens digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 10*y - 76 + 17 + 41 + 15*y**2 in the form v*y**2 + m + x*y and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + -13 + -6 + 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 - (5 - 23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhuyd. Give prob of picking 1 h and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.235 - 0.22. Round b to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + k - 2080 + 301, 4*x + 1773 = -k. List the prime factors of (9\/(-18))\/(3\/x).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 13. Let y(s) = 5*s**3 + 2*s + 14. Let l(f) = 9*f**3 + f**2 + 4*f + 27. Let u(o) = 6*l(o) - 11*y(o). Is u(w) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.6839 grams in micrograms?\nAnswer: 71683900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -20*j + 30. Suppose 4*u + 8 = 0, u = j*b - 3*b + 250. Calculate the highest common factor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {w: 1, o: 3, m: 3, t: 1, a: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11287748 divided by -76\nAnswer: 148523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23489.641 take away 446230?\nAnswer: -469719.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -19*u - 6. List the prime factors of j(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61178 + 4*j - 61164 - j)*(j - 2*j + 3*j).\nAnswer: 6*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - q + 18 = 2*q, -q = -1. Let t be (-2)\/(-1) + (-1)\/1. Solve -p = h - t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimmsiis. Give prob of picking 2 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.18804 rounded to two dps?\nAnswer: -2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6462*j + 1283 - 5383*j + 1201*j - 1845 - 888 wrt j.\nAnswer: -10644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 124.68806 days?\nAnswer: 17.81258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -5, 136, 2, -1 in decreasing order.\nAnswer: 136, 2, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 2. Let l be w(-5). Let o(b) = -b**3 - b**2 + 2*b + 2. Let c be o(l). Let q = c - 10. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p + 11 - 12 + 6*p - 17*p. Calculate x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {n: 4, m: 1, z: 3, a: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/10 and -83\/2874.\nAnswer: 14370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5528, -11071, -16640, -22247, -27904, -33623?\nAnswer: -39416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k**2 + k - 1. What is the remainder when (20\/6)\/((-38)\/(-1767)) + 13 is divided by j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-14)\/(-168)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 7*d**5\/4 - 129*d**4 - 673*d**3\/4 - 75*d**2\/2 = 0.\nAnswer: -1, -2\/7, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Suppose z*n = -q + 14, 3*n + 2*q - 7*q = -5. Which is the nearest to 1? (a) n (b) -2\/3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232 + 248. Suppose j + 0*j = 37. Suppose z = -k + j. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 3:49 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 - 3. Let p be m(-4). Suppose 29*u - 25*u = 4*y - 12, -3*y + 5*u + 3 = 0. Is y greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/24 + b**2\/2 + 3*b. Let v(s) be the first derivative of i(s). Let n(u) = 5*u**2. Calculate v(n(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*x + 2*x + 8, 0 = 3*h + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(0*m + 2*m - 4*m) + 2*m + 5*m + 16*m + 5 - 5 + 2*m + (-2*m - 3*m + 3*m)*(-2 + 2 - 2) - 2*m + 2 - 2 - 21 + 17*m + 21.\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + d = 1067, -171 - 206 = -r + 5*d. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/100 - -64003\/206300. Let w = 134111\/66016 - y. Find the common denominator of -61\/5 and w.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-28) - 113\/4. Let s be (2\/4)\/(2\/f). Let r be s - 1*(0 + -3). Round r to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-31)\/190)\/((-124)\/(-248)) and 3\/25.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 3 - 48\/20\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v - 3. Let d(u) = 9*u + 3. Let t(j) = -6*d(j) - 5*w(j). What is the units digit of t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31040916*j**2 + 37051352*j.\nAnswer: 62081832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11838, -11783, -11692, -11565, -11402, -11203, -10968?\nAnswer: -10697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 308 + -1. Let r = d + -287. Calculate the remainder when 153 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {t: 5, s: 4, z: 2, k: 1, v: 5, x: 3}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 1855*c**4 + 3675*c**3 - 5555*c**2 - 7360*c + 7380 = 0. What is c?\nAnswer: -369, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14188980*h**2 - 4*h + 2090146 wrt h?\nAnswer: 28377960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2197\/(-191139) + 159\/(-31581).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d = -7*d + 214*d - 60*d - 1130 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1754160011\/9777 + 179417. Let m = -1390794013320212\/48885 - -28450322445. Let q = v + m. Calculate the common denominator of -18\/7 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (9 - 2) + -12 - 9) + 26 + -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*j + 5 = 4*o, -35 = -3*o + 4*j. Calculate the remainder when 12 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1520 + 2194. What are the prime factors of p?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2082, 4132, 6158, 8154, 10114?\nAnswer: 12032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, 204\/11, 10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4 - 10*p - 9*p**2 + 16*p + 5*p**4 - 7*p**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 828.4314ml?\nAnswer: 0.8284314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78966225 - 4?\nAnswer: -78966229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -2\/9 (c) -1 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(450\/370 + -1) + (-3)\/12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007784917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose 10 = -2*j, -c*t - 117 - 181 = -2*j. Let f be (t\/4)\/7*-2. Solve 3*s - 5*w = -31, -2*w + 1 = -s - f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/(108\/(-96))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let b = 47 + 50. Let t(k) = -b + 97 - 7*k. Let o(h) = -13*h. Let g(d) = -2*o(d) + 5*t(d). Calculate q(g(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**3 + 0*f**3 + 4*f**2 + 7*f**6 + 3*f**3 wrt f.\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -480, -903, -1310, -1695, -2052, -2375, -2658, -2895?\n\"Answer: g**3 + 2*g**2 - 436*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/10)\/((-5)\/25))\/((17888\/48)\/(-43))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18508? (a) 3 (b) -1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11919\/4 greater than or equal to -2981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -737, 118 in decreasing order.\nAnswer: 118, -2, -737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*b, 0*y + 7 = -5*y + 3*b. Let d(o) = 2*o**2 + 9*o + 13. Let l be d(y). Solve z - 3*r + l + 13 = 0, 2*z = -3*r + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 20 = -3*y, 4*d = -5*y + 8*d - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-5) - 5\/25. What is the nearest to x in 2\/25, -4, 1\/12?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 2, p: 1}. What is prob of sequence ypbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 2. Let s be w(6). Suppose 5*n = -0*n + s. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-452)\/(-10) - 2\/10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -1369 (c) 6 (d) 1 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.802187cm to kilometers.\nAnswer: 0.00002802187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209.9 at most as big as 0.1441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*c + 5594 = -822*c - 124 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 1124*l**3 - 156794*l**2 - 316968*l - 159048.\nAnswer: -2*(l - 282)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f**2 + 2*f. Let w(h) = h**2 - 19*h + 21. Let r be w(18). Let t(c) = 2*c**3 - 2*c**2 - 3*c - 1. Determine r*p(l) + 2*t(l).\nAnswer: l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffj when three letters picked without replacement from fjfjffffjjffjf.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91919232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 1.04 * 0.7\nAnswer: 0.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {f: 1, d: 1, p: 1, n: 2, a: 11, x: 2}.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198*r**3 - 108*r**2 - 524*r**2 - 2997*r - 2750 - 113*r**2 - 551*r**2 + 3*r**5 + 6*r**4 + 320.\nAnswer: 3*(r - 10)*(r + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(810) + (sqrt(810) - (3*sqrt(810) + sqrt(810)))) + (sqrt(40)*3*-2)\/sqrt(8).\nAnswer: -109*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 111*z**2 - 653*z - 54. What is r(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 39447*n**2 - 236763*n - 355185 = 0. Calculate n.\nAnswer: -3, 13155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 - 2*p**3 - 3*p**3 + (-1 - 2 + 1)*(2*p**3 - p**3 - 4*p**3) - 4*p**3 - 2*p**3 - 2*p**3 - 4*p**3 + p**3 + p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2811 - 612 = -74*b - 21 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*j - 1 + 22 = 0, 7*j = -11373*k + 11377*k - 15 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 1\/2*y**2 - 2 - 1\/20*y**5 - 1\/2*y**3 - 1\/4*y + 1\/4*y**4. Determine o so that m(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w. Let x(z) = -23*z. Let i(l) = -8*p(l) - 3*x(l). Let f be i(1). Suppose 0 = -5*j - 3*b + 163, j + b - 28 = f*b. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 167, -0.01, -5, -13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63, -72, -95, -138, -207, -308, -447, -630?\n\"Answer: -c**3 - c**2 + c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -827428093 divided by 1\nAnswer: -827428093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/(-5)*((-600)\/(-42))\/(-50).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -0.2. Let a = -19\/10 - -173\/70. What is the fourth smallest value in 5, s, 2, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 1 + 1 - 7*x + 12*x + 0*x.\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4367 divided by 327\nAnswer: -4367\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40748\/468602)\/(((-3)\/4)\/(75\/(-40))).\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 239183.145ns in days?\nAnswer: 0.0000000027683234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -498*y**2 + 7*y - 3. Let o(k) = 748*k**2 - 10*k + 5. Let i(j) = -5*o(j) - 7*p(j). Find the second derivative of i(l) wrt l.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 616.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -21. Solve s = -v + 2, v + 3 = -l + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333 - 181. Suppose -x = -3*s + 3*x - b, s + 5*x = -19. Let y = 2 - s. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -0.4 (c) -5 (d) -0.05 (e) 0.3 (f) -0.0645\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683248 is divided by 1056.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 3*f)*(1 - f - 1) + 24 + 10*f**2 - 24 + (-f - 4*f + 3*f)*(3*f + 0*f - 2*f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5798 and 27520876.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/12 + 276\/(-16). Let q = 16 + w. What is the units digit of (4 - 66\/15)*(-211 - q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1810750634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*x - 210, -x - 210 = -21*p + 16*p. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 8:56 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1793327 (base 10) to base 3\nAnswer: 10101002222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12022231031 - 20?\nAnswer: 12022231011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 2 = 3*a + o, -5*a = o - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38a9 (base 13) in base 9?\nAnswer: 12070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324138 = 47*z + 42*z. List the prime factors of z.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/1*(-5 - -37). Let x = g + 331. Is x a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 8*o + 14. Let t be j(6). Suppose -t*c = 2*c + 320. Let l be c\/(-45) - 8\/108*-3. Solve 4*i = -0*a + 3*a - 16, -5*a = -l*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 45, 30\/53 in decreasing order.\nAnswer: 45, 30\/53, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11739 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-347806\nAnswer: 139122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 5*w**2 + 5*w + 2. Suppose 6 = -3*p - a, 6*a - 2*a = -3*p - 6. Let b be i(p). Solve 20 = 2*s - 3*x, -7*s + b*s + 24 = -3*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000039152 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01373243305 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -4, 10538, -0.1 in decreasing order.\nAnswer: 10538, -0.1, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*q = -102*q - 39 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 47738, 95439, 143138, 190835, 238530?\n\"Answer: -o**2 + 47704*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7091781?\nAnswer: 3, 2363927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-5)\/(-30)*45\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143457 is divided by 294.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 6*g - 10. Let d = -70 + 75. Let y be z(d). Let s be 0 - (0\/2 + 5 + y). Solve u + u = s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.6 (c) 0.02 (d) 1\/124 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/5)*m)\/m*(m\/(((m**9\/m)\/m)\/m*m*m))\/m*m**(-2\/7)\/m**(-3))**(-7\/4) assuming m is positive.\nAnswer: m**(157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596118 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 135. Let c be q(23). Let y(i) = -i**2 - 4*i. Let m be y(-3). Let s = c - m. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427.57612 rounded to zero dps?\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q**3 - 29*q**2 + 3*q + 14. Let g(p) = -5*p**3 + 10*p**2 - p - 5. Let d(x) = 17*g(x) + 6*j(x). Is d(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*1323*1566\/17052?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27354 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 99\/15*(-7)\/(7\/(-125)). Let f(l) = -d + 10*l + 818 - 11*l. Suppose -3 = 3*z, -13 = 2*y - 5*z - 0. Calculate f(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342*d + 29 = -371*d. Which is bigger: -10\/677 or d?\nAnswer: -10\/677","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3, 6*i = i - 4*y - 24. Let w = 0.3752271 - -0.0247729. Which is the nearest to -1\/5? (a) i (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 980417.5999968 - 980419. Let x = 1.4 + f. What is x rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 101 + 3 = 0. Suppose -5*h - 49 = -5*g + k, 25 = -5*h. Suppose 15*q**2 + 2 - 38*q**3 + g*q + 43*q**3 - 2 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/11)\/p)\/(p\/(p**12\/p)))\/((p\/(p**(-4\/5)\/p)*p)\/p*p**(-2\/15)*p) assuming p is positive.\nAnswer: p**(194\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 64. Suppose j*m = s + 584, 2*m + 0*s - 228 = -s. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14555115 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 + i**4\/24 + i**3 + 8*i**2. Let l be w(0). What are the prime factors of 3 - (-15)\/6*l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 14) in base 7?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 494*f + 28562. Calculate o(-210).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Product of 8.2 and 0.118446.\nAnswer: 0.9712572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045027999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(468) + 2 + -5 + sqrt(13) + 1 + sqrt(13) + 3.\nAnswer: -4*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.3. Let u = -3868 - -3868.4. Let x = -2 + 1.5. Which is the second biggest value? (a) u (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/2? (a) -3 (b) -3\/43 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b + 34*b + 2*b)*(5*b**3 - 3*b**3 + 0*b**3)*(-1 + 3 + 0) as n*b + c*b**3 + m + l*b**2 + j*b**4 and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + (-5397 - -5494)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 15*w**2 + 40*w - 30. Give i(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/5)*o**(1\/6))**(12\/7) assuming o is positive.\nAnswer: o**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 41 = -3*p, -3*p - 2*p + 3*t + 63 = 0. Calculate the highest common factor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 + v. Let c be y(4). Does 12 divide 1 - c\/(8\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 8*b**2 + 2*b + 2. Let t be j(8). Let c be 428\/t - 14\/(-63). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 24*z**2 - 390*z - 662. What is w(17)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 222*h**6\/5 + 85*h**2 - 945*h. What is the derivative of d(k) wrt k?\nAnswer: 5328*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 23 - 15)*(3*x + x - 5*x) + (1 - 7 + 1)*(-5 + 4 + 3)*(-2*x + 3*x + 0*x).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 4*t**2 - t - 5*t**2 + 25*t**3 - 15*t**3 + 32*t**3 in the form v*t**3 + f + k*t + l*t**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 12, r: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1758 - -2619. Let i be 2\/(-10) + -1 + w\/5. What is the greatest common divisor of 114 and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 11) to base 2.\nAnswer: 1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -1 - 1. Suppose m - u = 9. Solve -m = -c - c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 9 - 6. Suppose -5*p = 3*n + 15, -g*p - 9 = -4*n + 2*n. Let y = p - -5. Solve 0 = -3*w - w, 2*i + 3*w = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4362448862 to the nearest integer?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5, 0.2, -28848\/35 in decreasing order.\nAnswer: 0.2, -1\/4, -5, -28848\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 73505103*g**2 + 73505097*g**2 + g + 18*g.\nAnswer: g**3 - 6*g**2 + 19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h + 3. Let b be i(2). Differentiate -5*u + 4 - 13 - b wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*l**2 + 2*l + 89*l**2 + 51*l**2 - 156*l**2 as q*l**2 + p + v*l and give q.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -5.03. Suppose 4*l + 5*r = 230 - 1020, -3*l = 2*r + 589. Let k be 10\/25 - (-108)\/l. Which is the third biggest value? (a) k (b) u (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64954.54 millilitres to litres.\nAnswer: 64.95454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s - k + 10, 2*k + 4 = 0. Suppose 5*m - s = -2*q, -m + q = -2*m. Let r(d) = d**3 + d**2 + 3. What is the remainder when r(0) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3914 and -14\/5884699.\nAnswer: 11769398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -27*r**2 + 135*r + 4. Let l(o) = 2*o + 1. Let f = -109 + 110. Let a(n) = f*b(n) - 4*l(n). What is the second derivative of a(h) wrt h?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let g(y) = 65*y**2 - 5*y - 5. Let h(s) = -98*s**2 + 8*s + 8. Let t(l) = -8*g(l) - 5*h(l). What is t(f(c))?\nAnswer: -30*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -125, -108, -65, 16, 147?\n\"Answer: 2*p**3 + p**2 - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -52*j + 1. Let n be (-3)\/(-2)*(-24)\/36. Let k be x(n). Suppose -3*v = -2*t - k, -t + 3*t - 23 = -v. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3360 - 1462*p + 1116*p - 4*p**3 + 158*p**2 - 1430*p + 86*p**2 - 1336*p.\nAnswer: -4*(p - 42)*(p - 20)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*o - 4*o - 2*o**2)*(2*o + o - 5*o) + 5*o**3 - o**3 + o**3)*(-91*o**2 + 2 + 89*o**2 - 8).\nAnswer: -18*o**5 - 54*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b + 8*b - 20*b. Let i(p) = p. Calculate i(m(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 93.79. Let s = l + -1.74. What is s rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.3821 decades in years?\nAnswer: 2103.821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36078903 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2308 times 13\nAnswer: -30004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-344)\/(-1 - 3) + 4. Does 14 divide (-5)\/(-10)*u + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11835*141.\nAnswer: -1668735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-40)\/(-30) - (4\/(-5) + (-15906)\/(-2520)) and -91\/240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 + 527. Suppose -60*k - 23 + c = 0. Calculate the greatest common divisor of 111 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-20) + ((-40296)\/(-644))\/(8\/7). Let q = -55 + 230. Suppose 0 = 5*c - x - 273, c - 5*x = 4*c - q. Does v = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 47002*z - 8288025.\nAnswer: -(z - 46825)*(z - 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 15. Let u be k(-18). Solve 13 = -u*y + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23179340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/(-216)*(8 + -1 + 5\/(-1)) and 73\/1464.\nAnswer: 13176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 5*u = 88*u + 25*u - 2976 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7043635, 7043633, 7043631?\n\"Answer: -2*o + 7043637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27879699?\nAnswer: 3, 113, 82241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 750720 (base 8) to base 12\nAnswer: 100a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*b**2 - 232 + 3*b + b**3 - 14*b**2 - 83*b**2 - 84*b**2 + 2*b**3 to w + q*b**3 + d*b + o*b**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in -4, 0.3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*143850338.\nAnswer: -719251690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 344*-12 + 11 + -15. Let u = x + 8880. Let r = u + -38041\/8. Calculate the common denominator of -83\/16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -4*j**3\/3 - 16. Let f(k) = -41*k - 93. Let t(w) = 6150*w + 13981. Let p(l) = -902*f(l) - 6*t(l). What is p(i(u))?\nAnswer: -328*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6*9\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 5. Let v = u + 0. Sort 0.3, -1, v in decreasing order.\nAnswer: 0.3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128330150.\nAnswer: 2, 5, 13, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -17*q + 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u + u - 2 - u. List the prime factors of l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 206*w + 2100 - 2100 - 1 + 6*w - 2*w - 2*w + (0 + 3 - 1)*(2*w + 5 - 5) - 1 - w + 1 + (-2 - 1 + 1)*(-2 + 2 + 2 - 2*w).\nAnswer: 215*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -398*t + 4. Let j(n) be the second derivative of -n**3\/6 + n**2\/2 + 7*n. Let s(z) = -b(z) + 2*j(z). Is s(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32c9c (base 16) to base 7.\nAnswer: -1524332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/25*(-25)\/(-3). Solve -2*c - 17 = -3*r - 6*c, 3*c = -5*r + b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c**2*g**3*y**3 + 22*c**2*y - c*g**3*y**3 + c*g**3*y + 2*c*g*y + 21*c*y**2 - c*y wrt c.\nAnswer: -20*g**3*y**3 + 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 3811?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = l - 1, 20*t - 19*t = 3*l - 58. Solve 3*z - l = 3*u, -13*u = -2*z - 10*u + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(2*m**2 - m**2 - 2*m**2 + (-m - 1 + 1)*(-3*m + 2*m + 3*m) + 0*m - m**2 + 0*m - 2*m**2 - m**2 + 2*m**2)*(1 - 1 + 6*m)*(1 + 3 - 3).\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 30. Let w = 37 - m. Suppose 9 = -88*t - 87*t + 178*t. Solve s = 5, 3*y + t*s = 4*y + w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:54 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 212756102.65646?\nAnswer: -212756112.65646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1870 + 855 = -250*u + 985. What is the smallest common multiple of 109 and u?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 53824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c, -2*q = 3*q + 3*c. Suppose i = -q*i. Factor -1\/4*g + i - 1\/2*g**2 - 1\/4*g**3.\nAnswer: -g*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9496*p**3 - 3130*p**2 wrt p?\nAnswer: -56976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (1 + -3)*5\/(-110). Which is smaller: 0.02 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/28)\/(-267*2853\/(-197491))?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2004 - -61\nAnswer: -1943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 296 + 81. Let v = 382 - t. Solve 3*p - 12 = -0*z + 3*z, -7 = 4*z + v*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*u**2*z**2 + 5156*c**2*u*z**2 - c**2*z - 24*u**2*z + 180*u*z wrt z.\nAnswer: 4*c**2*u**2 + 10312*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*3*(-2)\/(-8). Suppose 0 = -5*f + 15, -w - z*f - f + 35 = 0. Let s = w + -21. Solve -m = -s*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/836 and 2\/5*5 + (-367)\/228*2.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28590\/17 - -1683. Let m = -1115\/102 - b. Find the common denominator of -2*(-22)\/12*-1 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-2))\/(-1)*2314\/6942.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 10*t. Let g be ((-9)\/(-6))\/((-2)\/(-4)). Suppose g*o + 21 = -0. Is 21 a factor of j(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 153. Let s(t) = 25*t**3 - t**2. What is the remainder when s(1) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 970\/7*b**2 + 974\/7 + 2\/7*b**3 - 278*b.\nAnswer: 2*(b - 1)**2*(b + 487)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 5. What is the remainder when m(-8) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 82 - 72 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/120 - 3*w**5\/20 - 5*w**4\/12 - 10*w**3\/3 - 8*w**2. Let r be o(10). Let p be (-325)\/r - 2\/8. Solve p = -2*i + 6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**3 - 17*m**3 - 7*m**2 + 0*m**2 - 46*m**3 + 8*m**2.\nAnswer: -48*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-2)\/(-1) - 0). Suppose -w*o + 4*z = 4, -5 = -5*o + 6*o - 2*z. Suppose -v + 8 = o*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111001001011010001001 (base 2) to base 11.\nAnswer: 2272275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -1665, 3 in increasing order.\nAnswer: -1665, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969943271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -51*s**3 + 27*s + 93*s**3 + 6 + 19*s**4 + 3*s**5 + 48*s**2 - s**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2856)\/(-756) + -2 + -1 + -1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 162 = 162 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {z: 3, w: 2, t: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -5*g**3\/3 + 163. Let a(j) = 47*j**2. Calculate a(z(w)).\nAnswer: 1175*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + 2 + sqrt(11) + 3)*6 + 1 + -5)**2.\nAnswer: 576*sqrt(11) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - t - 1. Let v(p) = 3*p**2 + 3*p + 8. Give -v(m) - 4*z(m).\nAnswer: m**2 + m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.072 and 208.747.\nAnswer: 15.029784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**22)**(-9\/4) assuming b is positive.\nAnswer: b**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 + (-4)\/(-2). Suppose 0 = y - 3*y + f*j + 114, 3*j + 52 = y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 6. Let z(a) be the second derivative of -a**3\/3 - 7*a**2\/2 + 7*a. Calculate 6*s(q) + 5*z(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6455 - 4555. Round o to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 8, 61, -9 in decreasing order.\nAnswer: 61, 8, -9, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*n**4 - 2*n**3 - 52017*n**2 - 5381213.\nAnswer: -104*n**3 - 6*n**2 - 104034*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 3 - 3 + (6 - 3 + 0)*(0 - 5 + 3))*(-3*b - b + 0*b)*(-1 + 1 + 2*b).\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, -7, 2, 0.3, -10, 2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjnkznznkkk. Give prob of sequence jk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*a + 287*a = -884216. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 19. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let t be 2\/4*(0 + 8). Let f(c) = 3*c. Let m(u) = -u**2 - 6*u - 1. Let b be m(-3). Suppose -b = 9*x - 53. Give t*a(g) + x*f(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.3 (c) -34 (d) 0.1071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**42*(p**1)**(-8\/3))**41 assuming p is positive.\nAnswer: p**(-3239\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.39 - 2.3. Let n = h + -7.09. Let q = 9 + n. Put -4, q, -0.1 in decreasing order.\nAnswer: q, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104024*q**3 + 4556*q + 12 wrt q?\nAnswer: -624144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7078 + -0.0378. Let c = q - 5.17. Let b(u) = u - 1. Let s be b(4). What is the closest to 1\/2 in c, s, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 60. Let x be (3\/3)\/(3\/33). Let g(p) = -9*p + 120. Let h(q) = x*z(q) + 6*g(q). What is the units digit of h(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a + 5 = 0. Let w(o) = -5*o + 7. Let v be w(a). Let k = v - -36. Calculate the least common multiple of 8 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 8*s**2 - s - 2. Let q(n) = n**3 - 9*n**2 - n - 2. Let d(z) = 6*m(z) - 5*q(z). Let k be (2 + 0)\/1 + 2. Determine d(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 21*n - 85. Let s = -67 + 64. Let v(x) = -10*x + 42. Let r(j) = s*l(j) - 7*v(j). Let o be r(6). Solve -3*i = -5*q + 5, o*q - 27 = 4*q + 5*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.4 (c) 2 (d) 11.97 (e) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 - 537*h**3 + 2331*h**2 + 24705*h = 0.\nAnswer: -183, -5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/20)\/2*80. Let q be (-4 + 18)\/((-2)\/y). Suppose -5*n = -4*z + q, -2*z - 6*n + n = -82. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -11964819.\nAnswer: -11964814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 6*j - 21. Suppose -4*n = -2*r + 38, 12*r - 2*n = 17*r - 35. Calculate d(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c. Suppose 14*h - 4 = -214. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5770 and -5776 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/490 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4526 (base 7) to base 14.\nAnswer: -84d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 3. Let x be n(6). Suppose -2*w = x*t + 10, 5*t - 9 = 3*w + 6. Solve 5*p - 2*c - 23 = t, -p + 2*c + 1 = -10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 16.99999988. What is j rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 238177566?\nAnswer: 1667242962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/(-8) + (-1)\/(-4). Suppose 2*m - 3*m = -2*t, 0 = 5*t - 3*m + 2. Let p(l) = 6 - 2*l - l**2 - t - 1. Determine p(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17 - 12 - 6873\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 47, 70, 101?\n\"Answer: 4*g**2 + 3*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*b + 2*z, 5*b + 4 + 3 = 3*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.460961 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + l - 3*l. Let c(s) = -2*s**3 - 2*s**2 + s. Let i(t) = t**2 - 3*t + 4. Let o be i(4). Let q = o + -6. Determine q*u(m) + c(m).\nAnswer: -2*m**3 - 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/12*8\/(-6). Let f(y) = 225*y**w + 15*y**3 + 28 - 170*y**2 - 55*y + 27. Let v(m) = m**3 + 4*m**2 - 4*m + 4. Give -4*f(i) + 55*v(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2981\/1704 - 43\/24. Let b = d - 1159\/1136. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 132. Calculate j(16).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -606, -1352, -2390, -3720, -5342?\nAnswer: -7256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 758526.\nAnswer: 303410.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*x - 14, -550*x + o + 1 = -558*x - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 0*z + 5*z - 4*p - 123 = 0, 0 = p - 3 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14*(-56)\/64 + (-5733)\/(-936).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 times -2968\nAnswer: 14246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98261*i*k + 7*i - 186301*k with respect to i.\nAnswer: -98261*k + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 243 (base 6) to base 13\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 2, l: 2, o: 1, q: 1, d: 2}. Give prob of picking 1 r and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - r - 3. Let t(j) = -j**2. Let l be (-95)\/15 - 1\/(-3). Give l*t(b) - i(b).\nAnswer: 2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*p - 0, 0 = j - 5*p + 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 144*x**2 - 719973*x - 720114.\nAnswer: 3*(x - 467)*(x + 1)*(x + 514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18\/11 + -97\/66. Let o(g) be the second derivative of l*g**3 - g + 1\/2*g**2 + 0. Find the first derivative of o(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1969475, 1969452, 1969419, 1969370, 1969299, 1969200, 1969067, 1968894?\n\"Answer: -b**3 + b**2 - 19*b + 1969494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**9\/504 - 133*b**6\/120 + 249*b**5\/20 - 1336*b**2. What is the third derivative of m(t) wrt t?\nAnswer: -120*t**3 - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-36))\/(2\/(-54))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 + -2.7. Let u = q - 1.60000017. What is u rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-21)\/24))\/(6\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4328 + -4306. Solve 7*w - g = -36 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 9. Let x be y(3). Differentiate -x*u + 19 - 32 + u wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 239, 241, 243, 245?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(28)\/sqrt(36)) - (-2*sqrt(130))\/sqrt(10)*-1 - ((sqrt(468)\/(sqrt(36)\/sqrt(3)))\/sqrt(3) + sqrt(156)\/(-1*sqrt(12))*1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = -4. Let y(m) = m. Let h(x) be the third derivative of 7*x**4\/24 + x**3\/6 - 2*x**2 - 3*x. Calculate r*h(t) - 5*y(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335408?\nAnswer: 2, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000056901 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 - -11?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.59 + 0.29. Let q be 1\/4 - (-22)\/40. What is the smallest value in q, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*a - 393*a - 4*a**2 + 0 + 0 + 2*a**2 as u*a**2 + g*a + v and give g.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 52*q**2 - 42*q + 399. What is g(-51)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(45\/6)*-5. Suppose 4*a - h*t - 26 = 0, 3*a + 3*t = 12 + 30. Solve 5*z = -p - 8 - 4, -2*p + z = -a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4 - 3 - 1 - 2*h. Does 10 divide b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 3*y**4\/4 - y**2\/2 - y - 1. Suppose 0 = -5*r + 5, 4*k - 14 = -4*r - 2. Is h(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5*f*f**(-6)*f*f)\/(f*f**4*f**(3\/4)))\/((f**(-2\/7)*f)\/((f\/(f\/(f\/(f\/((f*f\/(f\/f**4)*f*f*f)\/f)))))\/f))**(-1\/35) assuming f is positive.\nAnswer: f**(-3823\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.287 - -0.013. Let h = v - -0.05. Let m = -0.3499671 + h. Round m to six dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1.5. Let t = k - -2.3. Let u = t - -0.2. What is the closest to -1 in -0.2, u, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llltltltttltt. What is prob of sequence tll?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3 = u - 23, u - y = 0. Suppose -5*n = w + w + 31, -5*n - u*w - 37 = 0. Which is the third biggest value? (a) 2\/3 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 - 53*t - 21. Let b be h(11). Sort 4, b, -5, 0.9 in decreasing order.\nAnswer: 4, b, 0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/65*(0 + -30). Let g be (o\/30)\/(12\/(-10)). What is the nearest to -1 in -1, g, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143461 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 53*u + 4. Let c(d) = 1153281*d. Determine c(p(y)).\nAnswer: 61123893*y + 4613124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 34040*y + 7727076. Give w(-227).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1256020*q**3 + 1687566*q**2.\nAnswer: -7536120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 4*p**2 + 0*p**2)*(-305*p + 7*p + 669*p + 776*p).\nAnswer: -3441*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0*w + 0*w + 2 + 6*w - 7. Let y(l) be the second derivative of -l**3\/3 + l**2 + 8*l - 103. Calculate -3*o(h) - 8*y(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9 + -6278331706?\nAnswer: -6278331693.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3607425 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 6. Suppose 2*c - 24 = -h*c. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*y - 6 = 0, -2*z + 46*y = 42*y + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1117419*r - 648. Let j be o(8). What is j rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:46 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.9 + -10. Let o = p + 0.2. Let y(r) = -r**2 + 6*r - 4. Let c be y(6). Is c >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m**0\/m)*m)\/m)\/(m*m**(-2)*m*m))\/(m**2*m**0))**(2\/117))**(-22\/9) assuming m is positive.\nAnswer: m**(44\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -51188354.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 944 - 366 = -586. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -35 - q**3 + 14*q + 0 - 15*q**2 + 7. Let t be x(-16). Factor t*k**2 - 4*k**2 + 5*k**2 - 4*k**3 + 12*k + 3*k**2.\nAnswer: -4*k*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368328, -368114, -367900, -367686, -367472?\nAnswer: -367258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-420)\/(-63)*2*1\/(-10). Sort 0, s, 1, 246.\nAnswer: s, 0, 1, 246","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 397*x - 84164. Let s(a) = -a + 53. Give -4764*s(c) - 3*t(c).\nAnswer: 3573*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 130 + (-30 - 54) + (29 - 1)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111011 - -10011?\nAnswer: 1010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3684, -15214, -34434, -61344, -95944, -138234, -188214?\n\"Answer: -3845*f**2 + 5*f + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11986593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -98199.21 to the nearest ten.\nAnswer: -98200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4791, 9832, 15115, 20640?\nAnswer: 26407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0*y + 0*y**3 + 0 - 1\/12*y**4 - 7*y**2. Let b(r) = 3*r. Give f(b(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-18 + 12 - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 894965*k**2 + 40049459975*k - 120140325375.\nAnswer: 5*(k - 89495)**2*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -903.443471596218 - 0.025028813782. Let m = 903.5385 + p. Let v = m - 0.07. What is v rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.16 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008663 to 4 dps.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 152*z\/3 - 51.\nAnswer: (z - 153)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 2*i**4\/3 - 9*i**2. Let o(c) = c. What is a(o(z))?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -51417 (base 8) in base 13?\nAnswer: -98a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 945221459 to the power of 1\/2, to the nearest integer?\nAnswer: 30744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 a factor of 2486632492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 13 + 17. Let f be (-4)\/t + (-5)\/(-30). Let u = -2.81 - 0.19. Which is the nearest to 1\/3? (a) u (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 7. Solve l*x + 0*d + 4*d - 6 = 0, 0 = -x - 5*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08 and -1390648.\nAnswer: -1390647.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6239 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.841 + -0.159. Let a = -41 + 38.9. Let d = a - s. What is the closest to 0.05 in d, -0.3, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*29\/986*-2\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -1\/3*j**4 - 6*j**2 - 10\/3*j**3 + 0*j + 0. What is the first derivative of w(t) wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 61, 2275, -3, -2 in ascending order.\nAnswer: -3, -2, 2, 61, 2275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15596 - -46786\/3. Which is the fourth biggest value? (a) 2\/7 (b) w (c) 1 (d) 0.1 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-148661.\nAnswer: -297322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:32 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 4*s + s - 1 + 6*s + 0 to the form o*s**4 + n*s**2 + k + q*s + z*s**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 1. Let j(h) = h**3 + 3*h**2 + 5*h + 3. What is -j(f) + 3*r(f)?\nAnswer: -f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-165))\/((-869)\/330 - ((-87)\/15 + 4)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252869 or -1597?\nAnswer: -252869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52524?\nAnswer: 2, 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -188\/14551?\nAnswer: -188\/14551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3555, 3550, 3541, 3528?\nAnswer: 3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.02676 - 0.02676. Which is the nearest to -3\/11? (a) -2 (b) k (c) 2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/(-264))\/((-1)\/(-3)). Let o = 0.75 + -0.7. What is the smallest value in p, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884069 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11733000 to the nearest one hundred thousand.\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhhfffhhfff. What is prob of sequence fhh?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 7*k + 0 + 5 - 16. Let j be n(-3). Is 265\/j - (2 + 35\/(-20)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/7 + 192*w**3\/7 + 460*w**2\/7 - 9024*w\/7 + 8370\/7 = 0.\nAnswer: -93, -9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**2 - 7*g**3 + 25 - 10 - 15.\nAnswer: -7*g**3 - 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 4*l + 11*l - 4*g + 228 = -0*l + 5*l, 0 = -3*l + 2*g - 30 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - 5.98. Let w be (357\/510*16\/(-14))\/(-2). Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -6. Let i = -0.3 + 0.5. Let j = i + -0.3. Which is the closest to s? (a) 3 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 25\/3. Let q be (-23)\/(-230)*(-1 - -4)*2. Put 3, -5\/3, k, q in descending order.\nAnswer: 3, q, k, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10078 + -10078. Suppose 2\/9*c**2 - 2\/9*c**3 + 0 + 2\/9*c**5 + h*c - 2\/9*c**4 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -424 + 84. Suppose 0 = 3*w + w - k. Let q = w - 7. Solve 4*d = -d - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.904 + -0.096. What is the nearest to 2\/7 in -2, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 37. Is -40 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17429, -18043, -19063, -20489, -22321, -24559?\nAnswer: -27203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 6*m**2 + 11*m + 13. Determine l(-9).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -122 (b) 4 (c) 1\/60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -13*v**7\/42 + 37*v**5\/30 - v**4\/24 - v**2 - 96*v. Find the third derivative of c(g) wrt g.\nAnswer: -1560*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27268739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -302\/153 - 42\/17. Find the common denominator of -32 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, t: 3, s: 1, l: 6}. Give prob of picking 1 l and 3 k.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458058138?\nAnswer: 2, 3, 76343023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w - 3. Suppose 0 = 2*o - 5*o - n + 3, -4*n = -5*o - 12. Let z be r(o). Sort 4, 3, -4, z in decreasing order.\nAnswer: 4, 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -216 - -236. Let h = 17 - 3. Suppose -m + 86 = 5*o + 35, -h = -2*o - 2*m. Calculate the remainder when f is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/161*((-84)\/7)\/(-12).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13694639 is divided by 860?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -514 + 517. Solve 5*h = 4*h - s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432.028 decades in centuries?\nAnswer: 543.2028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8324215*c**3 + 12960951 wrt c?\nAnswer: -24972645*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*y - 65 = 0, 955881*b = 955876*b + 3*y + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 6*t**2 + t - 3. Let p be h(6). Let r(x) = p - 2*x**2 + 4*x**2 - 4. Let m(b) = b**2 - 1. Let j(c) = 4*m(c) - 3*r(c). Differentiate j(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39447423079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1190\/11 - -108. Let g = -42046 - -42045.96. Sort 3, g, 4, c in ascending order.\nAnswer: c, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -15, 96, 4 in increasing order.\nAnswer: -15, -2, -1, 4, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-30))\/(((-1)\/1245)\/(7\/168*-8)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054629 rounded to 5 dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2. Let z(j) = -7*j + 50. Determine s(z(o)).\nAnswer: -98*o**2 + 1400*o - 5000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2 and -91\/256338.\nAnswer: 256338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 994.9385 centuries in decades?\nAnswer: 9949.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffkfkffkffffffk. What is prob of sequence kkkf?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from bbbbbbubuibziiiiii?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -128 and -0.5.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + 4*sqrt(2299))*2.\nAnswer: -8 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1768\/189 + -4\/189. Factor 0 + 20\/3*z**4 + 0*z + 8\/3*z**2 + p*z**3.\nAnswer: 4*z**2*(z + 1)*(5*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244984*c**4 - 160*c**3 - c**2 + 394*c - 20174?\nAnswer: -2939808*c**2 - 960*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 r when three letters picked without replacement from oudoduduoourrodr.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/80 and -71\/52.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*x**2 - 413475*x - 171108 = 0. Calculate x.\nAnswer: -12\/29, 4753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d + 3*d)*(2 - 2 - 2) + 989 - 20*d - 989 + (0 + 4 - 3)*(-d - d + d) + 10 - 10 + 4*d.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -227*y - 50 + 108 - 58 in the form a*y + t and give a.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 265, 270, 287, 322, 381, 470, 595, 762?\n\"Answer: q**3 - 2*q + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -747705 by 35.\nAnswer: -21363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtvw when four letters picked without replacement from vwnntti?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 94\/(-18) - (-10)\/45. Suppose -2*y - y = 3*j + 492, 0 = 2*y + 4*j + 334. Let x = -171 - y. Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1398 - -1402. Which is the second smallest value? (a) k (b) 0.09 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274642 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33849702.\nAnswer: 2, 3, 97, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -65. Suppose -b*d = -d. Solve -3*q - 7 = 4*m, 2*m - 19 = 3*q - d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*w = 3, -4*t + w = -3*t - 3. Let x = 4 + t. Let p(u) = u**3 - 7*u**2 - 2*u + 9. Let q be p(x). Put q, 0, -4 in decreasing order.\nAnswer: 0, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.699058 and -0.003.\nAnswer: 0.002097174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-802)\/(-5)*(4 + 6). Let v = -1086 + g. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*n - 10, -5*j - 9 - 20 = 4*n. Let f be -2 + -4 + 5 - -2. Let u be 4\/(-8)*2 - f\/j. Is 0 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 3. Suppose 0 = -4*o + 26 - 10. Let z(l) = -l + 2. Let i(x) = o*u(x) - 3*z(x). Let g be 0\/(-7) + (1 - 1). What is i(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/360 - l**4\/16 + 30*l**2. Suppose h(a) = 0. Calculate a.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**3 + 2*i**3 - 5 - 6*i**2 + i. Let t be m(6). Suppose 0 = j - 13 + t. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 12489*j - 12489*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 364\/(-208)*1*4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86, 555, 1790, 4163, 8046, 13811, 21830, 32475?\n\"Answer: 62*f**3 + 11*f**2 + 2*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 5. Let r be t(3). Let w be (-40)\/5*r\/(-2). Let q be (6\/60)\/((-2)\/w). Do 1 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12*72\/(-4))\/(3\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimdnnvmmdddidmdm. What is prob of sequence immm?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1242?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (20 - 27 - 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 - h**5\/60 - h**4\/6 - h**3\/2 + 24*h**2. Calculate f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-12) - (-2103)\/18?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/6392 and 87\/1360?\nAnswer: 63920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43597721?\nAnswer: 1021, 42701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(sqrt(1088)*1*4 + sqrt(1088) + -1 + sqrt(1088)*-1*1 + ((sqrt(1088) - (sqrt(1088) + -1)) + 2 - sqrt(1088)) + sqrt(1088)) + 0))**2.\nAnswer: 41472*sqrt(17) + 5641488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f = -93*f + p + 6317, -5*f = 3*p - 6329. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8602*q - 8 + 17 - 8623*q in the form x + y*q and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 3*h**2 - 13*h + 5. Let b be x(-3). Let d = -9 + -6. Find the common denominator of d\/10*38\/b and 43\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/30 and -61\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**1\/g)**(-35)*g*(g\/((g**2\/g)\/g))\/g*g*g**(-2\/7)\/g)\/((g**(1\/3))**(-41)*g**1*g*g**4\/g*g) assuming g is positive.\nAnswer: g**(-1294\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-5 + -31 - (-2 - 7))) + -10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1724, 1727, 1730, 1733?\n\"Answer: 3*d + 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 7. Let a be t(0). Suppose -a*d = -345 - 61. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105962*u = -106017*u + 1815 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -20, -115*x + 5*q + 1120 = -120*x. Let g(o) = 120*o - 110. Let z(v) = v - 1. Give x*z(f) + 2*g(f).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.87102637 + 0.207634.\nAnswer: 5.07866037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*x + 4*s, -34*x + s + 11 = -31*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 932145 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38.13832ml?\nAnswer: 0.03813832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 29*q = 56*q + 455 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 15*z = 100. What is the second derivative of -z + 10 - 43*s**5 - 4*s + s + s wrt s?\nAnswer: -860*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/53249 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 99\/110*-6*-5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 24*g**2 + 24*g - 18. Let x be p(-13). Solve 0 + x = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 9*n + 3. Is 21 a factor of f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f + 0*f + 13*f + 12*f + 4*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d. Let q(n) = -n. Let c(u) = -o(u) - 9*q(u). Let b(g) = 2*g**2. What is c(b(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 4, e: 1, f: 1, p: 2}. Give prob of sequence en.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**5 + 15*x**5 + 7*x**5)*(76 - 30 + 31 + 168).\nAnswer: 5145*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3097103 (base 11) to base 13.\nAnswer: -1190451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -31, -1, -5 in descending order.\nAnswer: -1, -5, -30, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49245438283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/2 of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g + 6*g**2 + 8*g + g. Let y(d) = d**2 + d. Let j(l) = k(l) - 5*y(l). Let q(c) be the third derivative of -c**4\/12 - c**2. Give q(j(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 94*n**2 - 4*n + 375. Let d be k(94). Which is bigger: 3\/2323 or d?\nAnswer: 3\/2323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-3)*39\/1. Let x = 205 - b. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95 + 1418?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/15 + 11\/(-39). Let z = 170\/273 - w. Let m be (-1)\/4 - (-19)\/(-4). Which is the second smallest value? (a) 1\/2 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*j - 1168, -3*o - 408 = -4*o + 4*j. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3)*s\/(s\/((s**21*s)\/s)))\/((s**(-2\/43)\/s)\/(s\/(s**(-15)\/s))))**(5\/2) assuming s is positive.\nAnswer: s**(25615\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 2 (c) -2\/5 (d) -3 (e) 22 (f) 13983\/34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5775 (base 12) to base 11\nAnswer: -7352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d**2 - 27*d - 4. Let w(z) = -2*z**2 - 5*z + 3. Let f(a) = -n(a) + 6*w(a). Calculate f(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4, -3*r + c + 2*c - 3 = 0. Let s(i) = 153*i**2 + 45*i. Let w(f) = -7*f**2 - 2*f. What is r*s(d) - 45*w(d)?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 10. Let x = c + -1. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (1 - (-11 - -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4 - 1) + -1 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80130.3169 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1723850 and -99\/137908?\nAnswer: 3447700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 404, 379, 324, 227, 76, -141, -436?\n\"Answer: -2*c**3 - 3*c**2 - 2*c + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**5 + 2925*i**4 + 352791*i**3 - 904785*i**2 - 540225*i = 0. Calculate i.\nAnswer: -245, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-12)\/(-4)) + -6. Let h = m - -37. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 21.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 18 = 5*n. Suppose n*r**4 - 3*r**5 + 6 - 27*r - 42*r**3 + 48*r**2 + 4 - 3 - 1 = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*k + 9. Suppose -4*a - 2*l + 3*l + 12 = 0, l = -4. Calculate the remainder when (1\/2)\/(k\/18) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 2. Let w = f - 6. Let q(o) = o**3 - 3*o**2 + 722 - 722. Give q(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 + 1265*h - 12439. Determine w(10).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52323 (base 6) in base 9?\nAnswer: 10576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(1\/13)*s)**(-4)\/(s**(-1\/6)*s*s**(-2\/31)))**(-1\/37) assuming s is positive.\nAnswer: s**(39803\/89466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-15))**(2\/33)\/(x**(-1\/2)\/x**(1\/5)) assuming x is positive.\nAnswer: x**(-49\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-15))\/((-30)\/(-25)). Is 3 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 12*k - 54. Suppose 2*l = 3*p - 38, 5*p - k*l - 79 = -17. Calculate the remainder when 19 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 - (-4 - 8))*7*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10919 is divided by 151.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 19*r**2 + 2*r - 43. Let i be p(19). Put 31, i, -2 in increasing order.\nAnswer: i, -2, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000110101101110001 (base 2) to base 12\nAnswer: 11b755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -433980.653385 - -433982. Let u = -1.8666079 + g. Let b = -0.52 - u. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 10. Which is the third smallest value? (a) i (b) -3\/8 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a century?\nAnswer: 26800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2845609 is divided by 170.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*h - 22 - 34*h - 33*h to the form y*h + k and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (9 - (1 - -3) - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 8. Let h be m(-22). Suppose -325*g + h = -322*g. Solve -3*x + g = 5*u, -1 - 2 = -3*x - 2*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b - 8*b = -1821 - 535 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -76?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.331566 - 0.3292. Round l to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by 335?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 436722*y - 2545. Let c(x) = -515*x + 3. Determine 2545*c(d) + 3*f(d).\nAnswer: -509*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 6. Let l = -259 + 257. Give m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**41\/(o**5\/(o*o**(-3\/8))))\/((o**(2\/3))**(43\/2)\/(o**6\/((o**(-5)*o)\/o))) assuming o is positive.\nAnswer: o**(673\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 28 - 12*k**2)*(5*k - 2*k - 2*k)*(64 - 28 + 42) to the form m*k**3 + o*k**2 + t + r*k and give m.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = 13. Suppose 4*z = x*z - 156. Suppose -2*a - 2 = -z. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 8. Suppose -80 = b*l - 34*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2895883 - -2\nAnswer: -2895881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/30)\/((-40)\/(-25))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 48 = 173 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 5 (b) -0.053 (c) -12 (d) -11\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*a + 144 - 147, -4*k - 2*a = 6. Sort -20, 15, k, 4.\nAnswer: -20, k, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 81999.84ug?\nAnswer: 0.00008199984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*l - 16741074 = -94*l. Let x = l + 7363582. Round x to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19491 and 11809137?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, f: 2, j: 5}. Give prob of sequence ffwj.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 608\/12*(-3)\/(-2). Suppose 0 = -4*j - 0*j + w. Suppose 0 = -4*t + 318 + 290. Calculate the highest common factor of j and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f + 13. Let m be i(-6). Suppose 5*l - 4*j + 11 + 10 = 0, 20 = 5*j. Let y = l - m. Let c(a) = a**3 - 4*a**2 - 3*a + 4. Calculate c(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**5 - 18*a + 18*a + (2*a**3 - 4*a**3 + 3*a**3)*(0*a**2 - a**2 + 3*a**2).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42664*c**2 + 17748.\nAnswer: -85328*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 5, m: 4}. What is prob of picking 2 j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 8*l + 4*l**3 + l**2 - 17*l - 2.\nAnswer: (l - 2)*(l + 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -5 - ((-6)\/(-2) - 4). Let x be 2 - ((1 - -3) + p). Let n be (-1 + 2\/3)*(x - 1). Solve n*z + z - 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n**2 - 6*n**2 + 7*n**2 - 7*n + 8. Let s be g(6). Solve s*t - t = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 14*d**2 + d + 6. Let a be m(-14). Let z be 86\/a + 3*3\/12. Let g(x) = -x**3 - 10*x**2 + x + 2. Calculate g(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 72?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2222*w**3 - 5281*w?\nAnswer: 13332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvpvvhv. What is prob of picking 1 v and 1 h?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6935982*y + 7080903?\nAnswer: 6935982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6137*w + 446503 = 23050 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 5 = -p. Suppose 0 - 1 = -a. Suppose -q - 3 = -a. Put q, -4, p in ascending order.\nAnswer: -4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2, 0.1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10331.62877 rounded to the nearest integer?\nAnswer: -10332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1524130 and 25085?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*y - 48*y - 3*o + 6, y - 8 = -4*o. Sort y, 42, -1, 2 in increasing order.\nAnswer: -1, y, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 8*l**2 + 4*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16*a**3 - 5*a**2 + a - 3. Let t = 32 - 37. Let d(u) = -8*u**3 - 3*u**2 + u - 2. Let j be ((-6)\/(-8))\/(1\/4). Let q(h) = j*m(h) + t*d(h). Give q(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -4, 2\/11, -584?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let b be v(-5). Suppose 5*r - 5 = b*r. Let o be ((-10)\/r - 4)*-2. Solve -s = -3*d + d + 11, -o*s = 2*d + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2175 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21311313303 (base 4) to base 11\nAnswer: -15023a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.366337 years in decades?\nAnswer: 0.4366337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -32*h + 128. Let u(m) = 2*m**2 + 79*m - 344. Let g be u(4). Give i(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*2)**2 + 5 + 2)*5.\nAnswer: 16975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 - 1))*(-3)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 42*q**2 + q. Let a(x) = 3*x**2 + x - 1. What is 4*a(o) - 2*c(o)?\nAnswer: -72*o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16716205 to the nearest integer?\nAnswer: 4089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102033034 (base 5) to base 6.\nAnswer: -13031344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2632 + 4?\nAnswer: -2627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281 divided by -10?\nAnswer: 1281\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.079 - -0.179. What is the closest to h in 0.4, -2\/9, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 223194801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*k - 3*k, 2*f - 695 = -5*k. Suppose 12*o = 42*o - f. Solve 17*l - 15 = o*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/60 - c**4\/4 - 7*c**3\/6 - 5*c**2. Determine l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244097 = -51*c + 639580. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 16. Which is the biggest value? (a) -0.2 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -l + 15. Let s(v) = -2*v - 1. Calculate s(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 - 154*b - 6. Let y be i(22). Let u be (-6)\/(60\/(-5))*y. What is the third biggest value in -1, u, -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -222364069?\nAnswer: -222364065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 3*s + 9. Let f = 6 + s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-4)*(-34)\/(-187)*3\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 3:23 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48061 or 384495\/8?\nAnswer: 48061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5.8. Let r = 4.07 - 0.07. Let j = -1 + r. What is the third smallest value in j, o, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.422 - 1.022. Let z = -0.3 + 5.3. Let s = -4.3 - -0.3. What is the third biggest value in z, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*f, -382*p + 8 = -4*f - 378*p for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 2. Suppose 6*v = 3*v. Suppose v = 5*g - 3 - 7. Put 5, j, g in ascending order.\nAnswer: j, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -13. Suppose 2*a - 52 + b = 0. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n + 15 = 39*n. Suppose 5*d + u - 1915 = 0, 285 = 2*d - n*u - 498. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80984 - -15.2\nAnswer: -80968.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4909.4 * 3.87.\nAnswer: 18999.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + 0*t + 3*t)*(7 - 2 - 3) - 2*t + 2*t - 3*t)*(t**2 + 0*t**2 + 0*t**2) + 0*t**3 - 2*t**3 + 0*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:52 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74.103 - 74.1. Let f = 1.5 + -3.5. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 + 4*j - 7. Let s be r(5). Let h = 47 + s. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -996*w = -1002*w + 30. Let q = 39 - 39. Suppose -6*u + 9*u + 6 = q. Put -4, w, 1, u in decreasing order.\nAnswer: w, 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25818 - 25817.9996505. What is o rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(-2*sqrt(11)))\/sqrt(3).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224725 and 1759530?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/69 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101314 - 4?\nAnswer: 101310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**3 + 87*g**2\/2 + 84*g - 7046. What is w in a(w) = 0?\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + (-2 - -10) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(-20) + 4*10\/(-160)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 432, -3, 0.97?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 56 - -40 - -57\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 + 254. Let c(a) be the third derivative of 4\/3*a**3 - 7\/30*a**5 + 0*a - 3*a**2 - 1\/12*a**6 + 2\/3*a**4 + r. Factor c(s).\nAnswer: -2*(s - 1)*(s + 2)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00725 + -25.98375. Let i = h + 26. Let z = i + 0.361. What is z rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2008613683\/2879838 - -848180\/1209. Let x = -54\/397 + u. What is the common denominator of -67\/22 and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.8 and -4.\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37734 + 5?\nAnswer: 37739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/17, 3, -1\/2?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 20, 4*b + 25 = -5*p - 0*p. Suppose -4*r = -h + 29, 0 = 5*r + 3*h + 2*h + 55. Let z be 4*(76\/r - -7). Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3765294148.\nAnswer: 2, 7, 11, 12224981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/168 and ((-4)\/210)\/((-48)\/445)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 + 8*d - 33*d.\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -4, -1, 1 in ascending order.\nAnswer: -76, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -2\/9 (b) -1\/28 (c) 1 (d) -1\/2 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290 by -5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/28)\/(135\/(-40))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 153\/53690 and -71\/280?\nAnswer: 214760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 195 = 211. Suppose -496 = -y - 3*y - 4*t, 2*y - a*t = 224. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 6) to base 12\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a**2 - 11*a - 5. Let m(z) = 4*z**2 - 4*z - 2. Let r be ((1 - 4) + (3 - 0))\/1. Let p be 0 + r + 4\/((-24)\/(-18)). Give p*q(j) - 8*m(j).\nAnswer: j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -89 times 14\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*j = -4, -4*u = 5*j - 6 - 2. Let p(y) = 2*y**3 - 29*y**2 - 15*y + 35. Let o be p(15). Suppose 0 = 6*q + q - o. Solve q*x - 15 = u*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -511 smaller than -510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -b - 0*v - 2, -4*v = 3*b - 5. Calculate the smallest common multiple of b and (-3)\/((4 - 2) + (-69)\/30).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/14 in -5, 0.2, -1\/12, -3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 1046605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*p + 386 - 18 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 + 11)\/(-12)*(-3477 - 3).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -3422505?\nAnswer: 3422511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/12 - (-1)\/92*15.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30 + -32)*(0 + -2). Solve 3 = l - 3*m, g = -l - l + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -940 - -1242. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**3 + r**2 - r - 1. Let b = 506 + -507. What is d(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a factor of 22222666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(6 - 1)*70\/(-4172). Let y = -585\/3278 + n. Which is the third biggest value? (a) -4 (b) 4 (c) -0.4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9)\/y)\/y**(-7))**8 assuming y is positive.\nAnswer: y**(448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*u - 8 + 6*u + 12*u - 10*u**3 + 3 - 25*u**2 = 0. What is u?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*i - 3*i. Suppose 5*d - 272 = 3*y, 0*d + i*y = d - 72. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k - k**3 + k**2 + 8*k**2 - k - 2*k - k**2. Let a(i) = i**3 - 4*i**2 + 7*i - 4. Let v be a(3). Give h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - -4?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnvnjnnn. What is prob of sequence vn?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6916*u. Let l(c) = -11*c. Give l(r(b)).\nAnswer: 76076*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(891) - (1 + sqrt(891)))*2 - sqrt(891))**2 - ((-1 + sqrt(891))**2 + 4) - (-4 + ((-1*sqrt(891))**2 - sqrt(891)) + sqrt(891) + -4)) + 2.\nAnswer: -882 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 0.4, -1\/29, -0.3, -4\/7, 5, -3\/892?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3373546 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 3\/5 (c) -1 (d) 2\/7 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4 = 0, -13*g - 19 = -16*g - 2*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 547.1? (a) -2 (b) 5 (c) 2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + -0.24. Which is the closest to u? (a) 3 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 160. Calculate the greatest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255227 and 279167.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 71*h**3 - 414*h**2 + 756*h + 216.\nAnswer: -(h - 6)**3*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18014 is divided by 1403?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(75))**2 - (-3 + (-4*(sqrt(3) + 0))**2) - (-6*-1*(sqrt(147) + -1)*1)**2.\nAnswer: -5294 + 484*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = 16. Let z = b - 1. What is the units digit of (-1 - 14)*3\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/84 and -79\/292383.\nAnswer: 1169532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/21)\/2 + 28\/245?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -0.2, 2\/5, -2\/67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252349?\nAnswer: 127, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*z + 6, -4*z - 31 = -23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*t - 109 + 99, -2*l + 17*t - 19*t + 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7650 divided by -1530?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/50*(6\/6)\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3486 + -934. Suppose -p = -5*n - 977. What is the second derivative of -11*b**5 + 291*b - b**5 - n*b wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f. Let j(p) = -150268*p. Give j(d(m)).\nAnswer: 601072*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-4 - 3 + 5) + 4 - 7 - 2 + (-6 + 0 + 4)*(2 - 1 - 2) - 6 - 1 - 1)*(3*i**2 - 3*i**2 - i**4).\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 302 - 286. Calculate the remainder when 34 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -3 (c) 2\/13 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 520 - 464 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/9 - (-4496)\/(-144)) + 1. Suppose -o + 3*o - 2*u - 72 = 0, 6 = o + 5*u. Let z = o + a. Solve y - 3 = z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let l(r) = -r - 1. Let f(y) = 2*y + 5. Let s(o) = -4*f(o) - 20*l(o). What is 9*n(c) + s(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444370 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192153 and 8619.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + 8 = 0. Suppose -k*l - 3*z = -14, -3*l + 8 = -0*l - 2*z. Suppose 2*t - 53 = -5*n, 2*n - l*n - 5*t + 38 = 0. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 3691 + -3659. Solve 9*c - 4 - f = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4176?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 3, 6, 425, 5 in ascending order.\nAnswer: -6, 1, 3, 5, 6, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:03 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/10 + 5*b**4\/12 - b**3\/2 + 3*b**2\/2 - 2043*b. Give j(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-42)\/9)*(40 - 44).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.029 (b) -6\/11 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Let t = -19 + 16. What is the closest to g in t, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 63 = 54*i - 13. Solve i*x + x + 2*o = -19, 4 = -2*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + y + 2, -4*u + 76*y = 72*y + 40 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 13\/4. Let r be 18\/(-5) + 6\/(-15). Sort r, w, 3 in increasing order.\nAnswer: r, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -29. Let w = 1 + r. Let h = -8.5 + 8. Are h and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 + -172. Solve -m = 3*t + y + 3, 4*t + 3 = 5*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/72*(-4)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let l(m) = -10*m**3 - m**2 - 2. Give 5*l(g) + 10*q(g).\nAnswer: -50*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 5:30 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 102.\nAnswer: -7, 0, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -k + 20, 0 = 191*m - 195*m + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 822 + -602. Calculate the remainder when q is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 10) in base 9?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29172267.\nAnswer: 3, 71, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(119)\/sqrt(7)*1.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z**2 - 92*z + 522. Does 43 divide y(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053971.\nAnswer: 3, 127, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 14097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (-4*sqrt(126) - sqrt(14)) - sqrt(14))\/(sqrt(7) + -3*sqrt(112) - sqrt(7)).\nAnswer: 13*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 136*w**2 + 1478*w + 61. Calculate g(12).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 5, c: 5, i: 1, r: 5, z: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 77622 - 1060208 = 0. List the prime factors of p.\nAnswer: 59, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsvc when four letters picked without replacement from {v: 4, w: 5, c: 1, f: 4, s: 1}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-30))\/((-9)\/45).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496835?\nAnswer: 5, 99367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/60 + a**4\/8 + 5*a**3\/6 - a**2. Suppose -49*q + 420 = -7*q. Suppose d = -f + q, 2*f - 4*f - 10 = -4*d. What is c(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78160 and 94769?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 - 9) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/24*-2*5122892\/(-167)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26647 or -48.153?\nAnswer: -48.153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**4 + 42*k**3 + 40*k**2 + 15*k - 3. Let r(d) = -18*d**4 - 85*d**3 - 80*d**2 - 31*d + 7. Let a(f) = -3*r(f) - 7*z(f). Factor a(x).\nAnswer: -x*(x + 3)*(3*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1325*f - 30 + 30.\nAnswer: -1325*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8393175 and 16425?\nAnswer: 8393175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*s**3 - 62*s**3 + 1012*s**3.\nAnswer: 843*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*v = 515, -5*j + 827 + 373 = 5*v. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-10)*5\/(-2). Find the second derivative of 11*s + 3*s**4 - 52*s**i + 52*s**2 wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j)**(-33\/2)\/(j**5*j*j**(1\/10)) assuming j is positive.\nAnswer: j**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, -2, -73.94, -1 in increasing order.\nAnswer: -348, -73.94, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:13 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*c + 71*c + 136 + 67*c.\nAnswer: -5*c + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 335 - 309. What is the remainder when u is divided by (-93)\/(-6) + 3\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000320318903 rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -240 (c) 1 (d) -176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -118*b**2 - 2. Let z(j) = 2*j. Calculate y(z(q)).\nAnswer: -472*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 266\/5 - 2119\/45. Calculate the common denominator of 12\/40*(66\/(-9) - -7) and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6000 - 1864 + 1024 = -360*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + f + 73 = -f, -5*f + 35 = 2*h. Suppose 3*i = -2*i + h. Suppose 4*u + i*z = z + 38, 2*u + 4*z = 10. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let r(v) = 77*v - 42*v - 52*v. Give r(w(s)).\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 23*c + 63. Let z be u(20). Find the third derivative of -117*x**2 + x**z - 5988 - 12*x**5 + 5988 wrt x.\nAnswer: -720*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -1603825.49.\nAnswer: -1603828.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -96. Let t = 615 - 599. Calculate the remainder when q is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 23*d - 5. What is w(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -6\/7, 1652 in descending order.\nAnswer: 1652, -0.2, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1377) + sqrt(1377) + (sqrt(1377) - sqrt(1377)*-3) - sqrt(1377)) + -4)**2 - (-2 + sqrt(1377) + 3 + (sqrt(1377) - (-3 + sqrt(1377))))**2.\nAnswer: -432*sqrt(17) + 33048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(140)*2)\/((sqrt(30)\/sqrt(3) - sqrt(10))\/sqrt(2) + sqrt(10)\/sqrt(2)*-5).\nAnswer: -24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200898290 = 1279*u - 969*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*w**2 + 31*n**3*w + 3*n**3 - 3890*n**2*w**2 + n**2 + 1334*n*w**2 - 17*n*w + 201 wrt w.\nAnswer: 4*n**3 - 7780*n**2 + 2668*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/24481307 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*z + 21. Suppose z = v - 0. Let k = 2860 + -2862. What is the second biggest value in 0.2, v, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 22*n - 29. Let f be o(-9). Let i(t) = -31*t + 1. Let j be i(-2). Calculate the greatest common divisor of f and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r + 6. Let o = 190 + -185. Suppose 6*q = 3*q - o*q. Determine v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fzruzwwuffwhffwfzf?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/16)\/(2379\/182 + -13). Which is greater: 24 or l?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/9*((-64)\/176 + 1354\/(-88) + 12).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b**2 - 2*b + 1. Let t be (2 + 0)*(-1)\/(-2). Suppose -5*p = 0, -5*i + 2*p + 6 = -2*i. Calculate the smallest common multiple of s(t) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.009 - -0.331. Round c to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 38, -16*b + 46457 = -2*p + 46435 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 1\/5*f**5 + 1\/3*f**4 + 0*f**3 + 5*f + 0 + 0*f**2. What is the third derivative of w(z) wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 230*w**2.\nAnswer: 230*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 754b3 - -1?\nAnswer: 754b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 13*a = -13, 1677*q - 75 = 1682*q + 11*a for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 7:59 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 266*u + 1311. Let o(m) = m**3 - 6*m**2 + 5*m + 2. What is the least common multiple of h(-5) and o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 144*s - 141*s + 40 = 0, 3*d - 3*s - 30 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyattauyrrzzzay. Give prob of sequence attu.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -78 (c) -16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12425317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231786000 rounded to the nearest one million?\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 57 = 3*q, 2*q - q + 51 = 3*j. What is the lowest common multiple of 8 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76576620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9706\/7 - 1386. Let x = 3 - 3. Let x*s - c*s**2 + 16\/7 = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -6\/17, -3, 2\/23, 9, -2\/7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 24*m**3 - 149*m**2 + 26*m + 18. Give b(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0 = -5*n - 5, 2*n = -3*d + 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*7\/(-21)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eesesgjgesnsedj. Give prob of sequence jngj.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 57092 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0, 3, -4 in descending order.\nAnswer: 3, 0, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912400 is divided by 130332?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 147, 138, 125, 108, 87, 62?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, 1 y, and 1 c when four letters picked without replacement from {t: 1, y: 1, n: 1, c: 1, s: 2, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(3\/2))*o*o)\/o**2)\/(o**(-3)\/o**(-1)) assuming o is positive.\nAnswer: sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - r**2 - 3*r - 4. Let c(q) = 3*q**3 + 2*q**2 + 3*q + 5. Let k(a) = 3*c(a) + 4*d(a). Let o be k(-3). Is o*((-3 - -1) + -35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from daaddaaaaa?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*l = 20331 + 4687, 5*l + 125080 = 5*c. Suppose c = 12*w - 57953. Let d = -4677 + w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6421 divided by 4?\nAnswer: -6421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*w + 427, 360 = 2*w + 4*q + 94. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 93. Let y = 1 - 2. Let t(d) = d**2 + 99*d - 96. Let h be t(-100). Put y, h, v in ascending order.\nAnswer: y, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1324 - -1319. Sort 1969, -1, p, -3 in ascending order.\nAnswer: p, -3, -1, 1969","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2354 > -2320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284435 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1467 and 9209989.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001988 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6940 and 2082.\nAnswer: 20820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/20 and -29\/9260.\nAnswer: 9260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -831? (a) 1066 (b) -3\/7 (c) 4\/11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2 - 139*c**3 - 8*c**2 - 139*c**3 - 136*c**3 + c + 413*c**3. Determine r(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 8:48 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33844797 is divided by 30824?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 9796?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 202*s - 70362. What is b(-185)?\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2548798, 2548975, 2549152, 2549329, 2549506?\n\"Answer: 177*x + 2548621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2 + 2 + 0 + 0 - 2*a + (0 - 1 - 1)*(-2*a + a + 2*a))*(-a**2 - 4*a**4 + a**2).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15185 divided by 6.\nAnswer: -15185\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5254 and 24\/407185.\nAnswer: 814370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8788 + 3*a**2 - 8788.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 504?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03514 - -0.01514. Sort -2, 20, -1\/3, f.\nAnswer: -2, -1\/3, f, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 10\/3*j**3 + 5\/2*j**2 + 5\/4*j**4 + 0*j - 14. Solve m(z) = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3073 and 238322.\nAnswer: 104623358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 145720.47 to the nearest 1000.\nAnswer: 146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.4, 2\/5, 1, -1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q - 2. Let f(r) = -2*r**3 - 5*r - 12. Give -f(t) + 4*v(t).\nAnswer: 6*t**3 + t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4770.054 milligrams?\nAnswer: 0.004770054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12729*t + 12729*t + 6174*t**5 - 299*t**5 + 0*t**5 + 5*t**5 - 3*t**5 + (4*t**2 - t**2 - t**2)*(-3*t**3 + t**3 + 4*t**3).\nAnswer: 5881*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-24)*3\/2. Let k be 3609\/6 + h\/4. Suppose -118 = -f - 4*b + b, 4*b - k = -5*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -n + 67*j - 66*j, -n + 4*j - 5 = 0. Suppose 2*k + 2*g = 506, 5*g = 2*k + g - 506. Calculate the greatest common divisor of n and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/6)\/(10\/(-45)). Suppose -2*i = i - g. Suppose -i*c + u = -41, -c - 4*u + 6 = -0*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21640 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 5214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + 10\/(-14). Let i = 1 + -1. Let w be (-2 + (i - -2))\/h. Solve 3*o + o - 20 = w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 + -4.3. Let w = 47 + -52. What is the second biggest value in -0.3, w, 0.4, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4*g + 6, 707*t = 712*t + 3*g - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - 3012?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1, 2, 3, 0.04639?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.3593 + -0.0593. Let l = y - 39. Round l to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-126)\/77*56\/(-180).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63659 is divided by 147.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 10*p - 5490 = 0. Calculate the greatest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 457 - 224. Let g = 545 + f. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*w - 1166, 22*y - w = 25*y - 877. Let q = y - 282. Solve q*z = z - 36 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 43, 66, 89, 112?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2316142*u**2. Let x(t) = -2*t**2. Give x(i(f)).\nAnswer: -10729027528328*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/48*(-9)\/3*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25818, -25740, -25662?\nAnswer: -25584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, s: 3}. What is prob of picking 4 q?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 5 (c) 5146\/113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241413315 divided by 77055.\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 22.\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 48 = -5*x. What is the common denominator of (-9)\/(-54) + 38\/x and (2\/6)\/(2\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540 (base 8) to base 12.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2302078571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/12 + 23*q**3\/6 + 23*q**2\/2 - q. Let v(w) = -6*w - 6. Let y(n) = 9*v(n) + 2*z(n). Let y(x) = 0. What is x?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 - 22293*o**3 - 55352871*o**2 - 46251745575*o - 814726787994 = 0.\nAnswer: -2471, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from ddnd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3868866.\nAnswer: 2, 3, 59, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1264)\/(-948))\/(1\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 10\/7, -0.2, 0.2, 0.1 in descending order.\nAnswer: 10\/7, 0.2, 0.1, -0.2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**4\/5 + 237*o**3\/5 + 6144*o**2\/5 + 50064*o\/5 - 56448\/5 = 0?\nAnswer: -28, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 11*o + o + 43*o - o.\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-3))\/1)\/(-164*(-60)\/38376).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/(b*b*b**1*b*b)*b*b**4*(b*b*b*b**(-1\/4)\/b*b)\/b)\/((b\/b**0*b)**(35\/4)*(b**(-1\/2))**(-32)) assuming b is positive.\nAnswer: b**(-881\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 833268.9 millilitres in litres?\nAnswer: 833.2689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - o)*(-335*o**2 - 27 - 5*o + 203*o**2 + 131*o**2).\nAnswer: 2*o**3 + 10*o**2 + 54*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + (4 - (1 + (-3 - -9))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*h, -3*h = -5*t + 27. Let y = t - 6. Which is bigger: y or -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6622 + -6547. Let y = 141 + -91. What is the greatest common factor of y and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/12 and 77\/2220?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0699, -80, -3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149410682, 149410683, 149410684?\n\"Answer: r + 149410681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151.16 + -151.2. Sort -7, 14, -1\/3, p, -2 in decreasing order.\nAnswer: 14, p, -1\/3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2394)\/(-152)*4440\/(-1295)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784 and 68630968?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 2 + (-1 + -1 - -4). Which is the nearest to 0.06? (a) -2 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:51 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 505 + -501. Solve -4 + 16 = n*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 3) to base 15\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003 - -133202020?\nAnswer: 133200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.44 + 0.4. Let k = 57 + -56.04. Let m = k - y. What is the second smallest value in -1, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*i + 219 - 775, -4*h - 3*i + 454 = 0. Suppose h = -14*y + 378. Solve y - 7 = -4*p - 4*g, g - 9 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - (134 - 210) - 11?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (9 - (50 - 43 - (-7 + 0)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 12*a**2 + a + 12. Let p be v(-12). Let d(b) = 4*b - 7*b - 10 - b**2 + p*b**2 - 4*b. Let m be d(-3). Put -10, 1, m in descending order.\nAnswer: m, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 168231 = -42066. Suppose -5*g + 4*y = -b, 4*g + 7*y - 7723 = 2*y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2472949, 4945906, 7418851, 9891778, 12364681, 14837554?\nAnswer: 17310391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*w = 37, 2*l - 4*l = w - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -60. Let a be 2\/x*4 + (-2 - -2). Is -4\/15 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/11, 2\/3, 1.2 in decreasing order.\nAnswer: 1.2, 1, 2\/3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 343.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39618*0.2\nAnswer: 7923.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let j(z) = -9*z**3 + 4*z**2 + 4*z + 7. Let w(g) = -g**3 + g**2 + g + 1. Let p(r) = j(r) - 6*w(r). Let u(f) = -3*o(f) - p(f). Determine u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 1. Let r = -38 - -35. Let z be v(r). Solve 0 + 2\/3*g**3 + 2\/3*g**z - 2\/3*g - 2\/3*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -2*d. Suppose -3*g - d = -4*n, 3*g - 28 = -g - 2*n. Solve -l - c + 4 = 0, l + 4*l - 30 = g*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4508*u + 76627. What is j(-17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.659 - -0.159. Which is the nearest to 1? (a) -2\/11 (b) -0.11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36, -90, -108, -30, 204, 654, 1380, 2442?\n\"Answer: 10*c**3 - 42*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 769573439?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 19806874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -13*k - 273. Give o(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 889278 and 4206334?\nAnswer: 3317056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f = 42942. Let d = -27314 - f. Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 9910 = 137*l + 3145. Let z be 1027\/5 - (-2)\/(-5). Calculate the highest common divisor of l and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 15922762. Let w(h) = h**2. Calculate c(w(y)).\nAnswer: -2*y**2 - 15922762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3))\/(10 + 0 + 10244\/(-1014)). Solve 0 = -f*c - 21*c + 306 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + ((-334)\/51 - (-22)\/(-187))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27.36135 millennia?\nAnswer: 2736.135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let g(t) = -2*t + 4*t + v*t. Let a(q) be the second derivative of q**3\/3 - q. What is a(g(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061972 - -4.\nAnswer: 4.061972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1326780 and 41340?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84 less than 7284500.171?\nAnswer: 7284499.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 11}. What is prob of picking 1 a and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -14, 26, 92, 190, 326?\n\"Answer: m**3 + 4*m**2 + m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 + 37*y**3\/3 + 35*y**2 + 4*y + 68. Let d be i(-35). Let o(x) = -x**2 + x + 7. Determine o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5653 - -5666) + (120 - (-3 - (-3 - -1))) + 1.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 104. Suppose 5*f + j - s = 0, -f + j = 2*f - 14. Suppose 0 = f*d - 15120852 + 81620852. Round d to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 + 256. Let o = s + -80. Solve -o = -2*g + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-1 + -1)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24288112600 rounded to the nearest 1000000?\nAnswer: -24288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 142, 240, 488, 982, 1818, 3092?\n\"Answer: 16*g**3 - 21*g**2 + 49*g + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1335 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.895 and 347?\nAnswer: -657.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = 5*l - 10, 9 = -3*p. Let d(u) = -2*u**2 + 6*u**2 + l - 3*u**2 - 10*u + 2*u. Calculate d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-123)\/(-78) + (-4)\/26. Suppose -2*b + 21 = 3*k + t, -3*b + 6 = k. Solve -k - 6 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 9*j**2 + j - 8. Let d be u(9). What is the closest to 1\/5 in d, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 4*i + 6. Let u(q) = -2*q**2 - 9*q + 11. Let w(y) = -5*d(y) + 3*u(y). Calculate w(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -921*n - 74417. What is m(-81)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -i - 77, 0*i = 5*i + 2*c + 406. Let a = -63 - i. Let b be 152 - (0 - 1\/1). What is the highest common divisor of a and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1032841668*g**3 - 612100792*g?\nAnswer: -6197050008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 613, -682 in descending order.\nAnswer: 613, 3, -5, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, 8, 10, 12, 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12488 and 16056.\nAnswer: 112392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 323017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -4)\/(0 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjm when three letters picked without replacement from msjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1010001?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1960414840 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuutuubeuttutue. Give prob of sequence eu.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v**2. Let z(u) = -19*u. Give z(j(l)).\nAnswer: 494*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26551062 to the nearest integer?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3079\/(-31) - 112470\/(-348657).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1. Let q be (-30)\/(-4)*16\/24. Let n be 2*(-2 + (-7)\/(-2)). Suppose -4*l + n + q = 0. Let w(k) = -k - 2. What is l*w(j) + 5*h(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147991.\nAnswer: 19, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 6255*j - 6255*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1600601, 1600615, 1600629, 1600643, 1600657?\n\"Answer: 14*c + 1600587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z*z**6))\/(((z**(-2\/3)\/z)\/z)\/z*z))\/(z**(2\/5))**3*(z*z\/(z*z**(-2\/5)\/z)*z**(-2\/13)\/z)**25 assuming z is positive.\nAnswer: z**(5386\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004091262 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 3\/4 (b) -0.3 (c) 0.09 (d) -3 (e) -413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2174*u**3 - 456*u**2 - 2174*u**3 + 1894*u**4 - 520*u**4 + 2014*u**2 wrt u?\nAnswer: 32976*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 3. Let y be g(-6). Suppose 4*c = -3*m + 9, -5*c - y*m = -8*m - 20. Let o = c - 1. Solve t - o*d + 5 = 0, 0 = -0*t + t + 4*d + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1943730945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -68, -57, -42, -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 14307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2283 divided by -2041\nAnswer: -2283\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8503 + -4169756659.\nAnswer: -4169765162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0678 in 1\/7, 0.03, -1\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 11*c**3\/2 - c**2 + 3*c. Is w(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 104 + 116 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27998.22mm to kilometers.\nAnswer: 0.02799822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -318*m + 327*m. Solve -m*s + 2*r + 10 = -2*s, 2*r + 7 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373412 divided by 7181.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 9 + 14*d - 32*d - 17*d + 20 as p + v*d and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1413, -5, 5, -1 in increasing order.\nAnswer: -5, -1, 5, 1413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45041, -180225, -405525, -720935, -1126449?\n\"Answer: c**3 - 45064*c**2 + c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 678.5633 kilometers?\nAnswer: 67856330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-21) - 14\/(-10). What is the closest to p in -7, 0.2, -3\/5, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1831330 and 4580820?\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17 (b) 0.2 (c) -245 (d) -6 (e) 6\/7 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.05, -1, -0.067, -2\/7, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*f - 46*f = -88*f + 122*f + 8496 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/6 - x**2 - 3*x. Let b be i(-7). What is the greatest common divisor of b and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3049 + 0.2049. Which is the nearest to h? (a) 3 (b) -1\/12 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -5 (c) 289 (d) -3 (e) 6 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9*o = 3*y - 38768, 51709 = 4*y + 3*o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1719 divide 6720861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (19 - -5) + -24 - -29.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 305013366313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4816570 is divided by 149?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (19 - 43)) + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7))**(-4\/5)*(b\/b**(-3\/37))\/(b\/b**28) assuming b is positive.\nAnswer: b**(6231\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -158419 divided by 188?\nAnswer: -158419\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let l(i) be the first derivative of 0*i - 219 + 0*i**2 - 280\/3*i**3. Give a(l(k)).\nAnswer: 280*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*z + 210*z - 4792 + 13962 = -5278 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4800 = 1005*q - 995*q. Solve -q*n - 9 = -489*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2. Let s be o(-1). Let c = 5 + s. Suppose 5*k + 15 = c*v + v, -15 = -3*v - 3*k. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -18*h + 879. Is l(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 0*i)*(-2*i**2 + 0*i**2 + 0*i**2)*(-5 + 1 + 2) + (-i**2 + 0*i**2 - 2*i**2)*(-5 - 4*i + 5 + (-24 + 3 + 4)*(i - 3*i + 4*i)).\nAnswer: 110*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 222111210122002 (base 3) to base 2\nAnswer: 110101101111101110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -15, 4*h - 5*h - 3 = a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssr when three letters picked without replacement from {s: 4, r: 1, v: 2, u: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3288 - -222?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/6)\/((-34)\/51)*(-6)\/(-78)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4978230295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1771 - 1773. What is the smallest value in d, 329, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**2 - 4*t - 8. Let i(h) = 24*h**2 - 7*h - 14. Let s(q) = 4*i(q) - 7*m(q). Let g(b) = -3*b**2. Determine -5*g(v) - 2*s(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 1008*z - 30727. Calculate i(128).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -155aa99 (base 14) to base 9\nAnswer: -21572321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let w = 72306 - 72310. Sort w, -3, z in increasing order.\nAnswer: w, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 365\/2190 + 92\/198*(-9)\/12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/6 - -7\/3. Let q be 60\/(-221) + (-10)\/(-85). What is the smallest value in q, 11, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4 - 1156*b**3 + 29740*b**2 + 9226372*b + 9195480 = 0. What is b?\nAnswer: -287, -90, -1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x + x)*(4*x**2 + 4 - 4) + 3*x**3 - 3*x**3 - 2*x**3 + 17 - 17 + 8*x**3.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(567) + (sqrt(567) - (sqrt(567)*3)**2)).\nAnswer: -10206 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45520695 to the power of 1\/2, to the nearest integer?\nAnswer: 6747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19) + sqrt(19))*-1 + sqrt(19) - 5*(sqrt(19) + 3).\nAnswer: -7*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 39474, -6\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 8*j + 12. Suppose -5*t + 2*r - 20 - 3 = 0, -t = -5*r. What is b(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**14)**(1\/11) assuming j is positive.\nAnswer: j**(-13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = r + m, 5*m + 267 - 1186 = 3*r. Let j(z) = 52*z - 1. Let c be j(-4). Let x = c - r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 22 + -7 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/180 + a**4\/24 + a**3\/6 - 3*a**2. Let i(p) be the first derivative of y(p). Differentiate i(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + i - 2*i**2)*(2 - 2 + 2*i) + (-9 + 15 + 17*i - 7)*(0*i**2 + 0*i**2 + i**2))*(-374*i - 46*i**2 + 374*i).\nAnswer: -598*i**5 + 46*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**2. Let x(f) be the third derivative of -f**7\/2520 + f**5\/5 + 4*f**2. Let d(l) be the third derivative of x(l). Determine d(s(c)).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2. Let p(y) be the second derivative of y**7\/252 + 5*y**4\/6 + 13*y. Let v(d) be the third derivative of p(d). Determine v(o(k)).\nAnswer: 90*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 5:19 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -4) + -7 + (8 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-4*7\/1554). Let i = 220 + h. Let b(d) = 2*d**3 + d**2 - d + 1. Determine b(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v - 21*v - 37*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-25)*(9 + (-2611)\/294).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -206800*m**6 - 2*m**4 + 22692*m**2?\nAnswer: -24816000*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 5*q + 4. What is the lowest common multiple of 42 and h(3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21919 - -21918. Let n(c) = 2*c**3 - c**2 - c - 1. Let i be n(-1). What is the fourth biggest value in -2, u, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 9.2. Let g = 1.20000005 + n. What is g rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eelx when four letters picked without replacement from {b: 4, e: 2, x: 2, l: 2, o: 3}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -390*f - 2336. Let z be k(-6). Let u(h) = h - 7. Give u(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-7\/8)\/p))\/(p*p\/p**(-10\/13)))\/(p\/(p**(23\/2)\/p)*p**(-1\/21)) assuming p is positive.\nAnswer: p**(21083\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(44\/(-24)) - -4. Suppose -371 + 2601 = x*b. What are the prime factors of b?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeveeevveeeeevev. What is prob of picking 2 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 1 - 1)*(-8*u + 23*u + 33*u) to the form p*u**2 + y*u + m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 - 3. Let t = 6980 - 6980.2. Which is the second biggest value? (a) -1\/2 (b) q (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*k - 29*k - 1143 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 5*x = -5*u, 5*u - 4*x = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**27\/l*l**(-19\/5))\/(l**(4\/17)\/l)**(-2\/15) assuming l is positive.\nAnswer: l**(1127\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2291, -4584, -6877, -9170, -11463?\n\"Answer: -2293*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -240*h - 90. Let d(f) = 3*f + 1. Let i(y) = -180*d(y) - 2*j(y). Let x(k) = -4*k**2. Give x(i(b)).\nAnswer: -14400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-1018)\/(-8) - (-120)\/(-96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6534510\/17 or -384384?\nAnswer: -6534510\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34750951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -160 + 130 - 323 - 648 + 144 - 2*w in the form k + d*w and give k.\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 212. Suppose 4*u + k = 732. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/21 and 35\/656.\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + 1. Let a(s) = 4*s - 1. Let j(x) = x + 1. Let t(m) = a(m) - j(m). Calculate the remainder when 11 is divided by t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z - 21. Let v be m(3). Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240415 (base 6) to base 13\nAnswer: -9680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113.25 years in centuries?\nAnswer: 41.1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21201744.4 to the nearest ten thousand.\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79088377 and -0.3?\nAnswer: 23726513.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5724 - -5723.5. Which is the closest to 2? (a) 29 (b) 12 (c) y (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -174, 1.7 in decreasing order.\nAnswer: 1.7, 1, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1643 = -5*k + 3*y, -k - 18*y = -14*y - 324. Let h = k - 324. Sort -4, h, -2, 1.\nAnswer: -4, -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/102 and 13\/51?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154443943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*g**4 - 1970*g**3 - 300*g**2 + 1010*g - 75 = 0. Calculate g.\nAnswer: -3, -1, 1\/13, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 27, -5 in ascending order.\nAnswer: -14, -5, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17727902 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*h + 11*h - 56*h - 6*h.\nAnswer: -126*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 9:37 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -807 + 10436?\nAnswer: 8528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*5\/(-60)*204\/(-85))\/((-107)\/(-5)).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Let p(a) be the first derivative of a**3 + 0 + 1 - 12*a - a**3 + a**o. Factor p(l).\nAnswer: 3*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-120)\/(-320))\/(33\/(-7832))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbcccbbcbbbcbddcbc. Give prob of picking 2 b and 1 d.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5081)\/(-722) - -2 - 9 and 87\/10.\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-4)\/16) - 2. Solve 3*l = -12, -4*l + l = p*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*5)**2 + 2 + -4.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 24 = -d - u, -5*u = 25. Calculate the lowest common multiple of d and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -238, -535, -940, -1447, -2050, -2743?\n\"Answer: m**3 - 63*m**2 - m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -20*m. Let a = -1623 + 1626. Let g(n) = 140*n. Determine a*g(f) + 20*t(f).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -468954*o**2 - 637625*o wrt o.\nAnswer: -937908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**5\/20 + 153*r**4\/4 - 2812*r**3\/3 - 43*r**2 + 52*r + 1. Find the first derivative of l(m) wrt m.\nAnswer: -6*m + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/25, -4, -59.713?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 + 4*n**2 + 7*n**2. Let y(o) be the first derivative of 5 + 0*o + 1\/2*o**2. Calculate a(y(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -469123*b**5 + 27*b**3 + 43*b**2 - 440389*b.\nAnswer: -28147380*b**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.847505 micrograms in milligrams?\nAnswer: 0.000847505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -373*f**4 - 531*f**2 + 364*f**4 + 3*f**3 + 534*f**2 to the form i*f**2 + j + y*f**4 + u*f + w*f**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(-3*p**2 + p**2 - p**2 + (3 - 5 - 1)*(37*p**2 - 43*p + 43*p)).\nAnswer: -228*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3045.2 + 3045. Sort 5, 6, 32, o, 0.5 in increasing order.\nAnswer: o, 0.5, 5, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1.7.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15965 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/7)\/(780\/(-18564)))\/1\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 429822942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 3. Let n be (-3)\/(-6)*-6 - -8. Let k be i(n). Let w = k + -6. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176222849*u + 176222849*u - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 147877163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**3 + 6*r**2 + 6*r + 6. Let h(f) = 38*f**3 + 17*f**2 + 18*f + 17. Let v(d) = 6*h(d) - 17*l(d). Find the second derivative of v(u) wrt u.\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1985907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 716.758346 to two decimal places.\nAnswer: 716.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22586533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142226875 to the power of 1\/2, to the nearest integer?\nAnswer: 46284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/15 + 47*a**4\/6 + 276*a**2. Solve d(s) = 0.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*d, 3*q - 21*d + 22*d - 9 = 0. Solve -q*z + 2*z = -2*f, 0 = -4*z - 2*f - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let u(b) = 6*b + 2. What is 12*d(l) + u(l)?\nAnswer: 18*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 1\/(-4)*-4 - -7. Let q be -15 - -2*(-1)\/(-2). Let b be (35\/q)\/((-2)\/4). Solve 0*a + 4*a + 17 = -5*f, c*a = b*f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = 1. Suppose a + 5*y = g*a - 10, 0 = -5*y - 10. Suppose a = -2*b + 5*p + 23, 0 = -3*p + 2*p - 3. Do b and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 + 26624.\nAnswer: 26670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13198587 by -4399529.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -315 + 420. Put r, 1, -4 in descending order.\nAnswer: r, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 650 (base 11) to base 2\nAnswer: 1100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*(2*f - 4*f + 4*f)*(-7 + 6 - 2).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4877107*v + 2438551*v + 2438543*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/(-17)*1\/(-12). Sort -4, i, 178, 2 in increasing order.\nAnswer: -4, i, 2, 178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.0172696\nAnswer: -0.00086348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 less than 697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 238529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 7*n. Let y be q(3). Let d be y\/15 + (-159999980)\/(-25). Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 120 = -600. Let d = x + -15. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 3*c - 15, 21*p - 26*p + 17 = 3*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0.5, -4, 2, 5\/3, 2\/11, -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -6 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48\/5 of a hour?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780 divided by 695?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1595, 1598, 1603, 1610, 1619, 1630, 1643?\n\"Answer: l**2 + 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -3\/2, 2\/5, 22.6?\nAnswer: 22.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f + 11. Let y(c) = c**3 - 7*c**2 - 5*c + 8. Let g(w) = -2*w**3 + 15*w**2 + 10*w - 17. Let m(b) = f*y(b) + 3*g(b). Does 3 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-9 - -7 - 3 - -12 - 5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16612955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 + -2.3. Let j = d - -14. Which is the second biggest value? (a) -0.01 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let t = -23 + 36. Let k(h) = 23*h + 3*h**2 - t*h - 10*h. Calculate v(k(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 13. Calculate the highest common factor of u and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0)*(0*z - z - 3 - 2).\nAnswer: -4*z - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 3) + 10\/(-6). What is the biggest value in -5, a, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*d**2 - 1082*d - 8 = 0. What is d?\nAnswer: -4\/543, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 10:21 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -187.02 + -0.98. Let m = -191 - l. Sort 2\/3, m, -2\/13 in decreasing order.\nAnswer: 2\/3, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3467.\nAnswer: 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 - 150*h + 4*h**2 + 68*h - 6*h**3.\nAnswer: 5*h**3 + 4*h**2 - 82*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5992 = -2950220*n + 2950327*n for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47\/275 + -17381\/13200. Find the common denominator of y and 15\/6*2 - 457\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -39.27, -3\/2, 1, -5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131033*i**5 + 62246*i wrt i?\nAnswer: 2620660*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + m + 3. Let g be s(-3). Let b = 106 - 34. What is the greatest common divisor of b and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121a84 (base 14) in base 2?\nAnswer: 10010111001111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-54) - 2\/(-4). Let r = -0.06 - 0.54. Let s = r + 0.1. What is the biggest value in s, m, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 181*d + 572. Let s(u) = -6*u. What is s(n(j))?\nAnswer: -12*j**2 - 1086*j - 3432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 2*v - 3. Let n be m(3). Solve 2 = -3*q - 7, d + q - 1 = n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41*(-6)\/(-369)*-1*12\/(-26)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 6721425\nAnswer: 13442850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*t**2 - 72\/5 + 6*t.\nAnswer: -2*(t - 12)*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3017599 and -51.2617.\nAnswer: -3017650.2617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/84 - 2*i**6\/15 + 2*i**5\/15 + i**4\/2 - 4*i**3\/3 - 174*i**2. Factor b(f).\nAnswer: 4*(f - 1)**3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -99.8. Let p = 11 - n. Let h = p - 4.8. Which is the closest to -1? (a) 4\/5 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 11:03 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5897 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -11*d + 14*d - 3913, -3*d - w = -3917. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - (-4 + sqrt(171)*-2))) + -2.\nAnswer: -6*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -197, -638, -1491, -2894?\nAnswer: -4985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {i: 5, f: 6, l: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9776*d = 9966*d - 5510 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/930 and 77\/6.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1659156422 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110999)\/(-57148) + (-9)\/(-156)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 37*u = -14. Put -3, 0, -12, u in decreasing order.\nAnswer: u, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - z + 0 - 3 + 5. What is the units digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 7. Let y be (-10)\/s - 6\/4. Let n(r) = -5*r**2 + r - 1. What is n(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 7*w + 6. Let j be u(6). Suppose j = z - 4. Find the second derivative of 3*p**z - 5*p - 4*p**4 + 3*p wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -668 - -1001. Suppose 8*v - 1172 = -980. Calculate the remainder when o is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -49*z - 193, -21*i - 21 = 4*z - 26*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3891 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 4 - 10) + (12 - (5 + -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1467\/171 - 9)*3. Let g = -11\/76 + h. Calculate the common denominator of g and -56\/57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -661, -730, -799, -868, -937, -1006?\n\"Answer: -69*k - 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 4*g**2 + 7*g + 22. Calculate y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74673 + 151375. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18196, 18195, 18194?\nAnswer: 18193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6+-349\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.9058 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -85. Let t be -2 + ((-11)\/66 - 1586\/(-12)). Let l = t + -110. What is the highest common divisor of l and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63147 and 122220?\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**7\/56 + k**6\/120 + k**5\/16 - k**4\/48 - k**3\/12 - 8*k. Let w(d) = 0. Calculate d.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 16 = 0, 5*c - 32*y + 31*y = -19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6604, 13058, 19512, 25966, 32420, 38874?\nAnswer: 45328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t + 91. What is f(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + -5. Let u(g) = 561*g**2 - 18 + 45 + 14*g - 560*g**2. List the prime factors of u(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -76*a + 45. Give v(-2).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -0.13. What is the closest to 1 in 3, -3, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -25, -40, -61, -88, -121, -160?\n\"Answer: -3*b**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 95 (b) 1 (c) 3.98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*(-17990)\/1028\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m - m**2 - 3 + 1\/2*m**3. Let g(o) be the first derivative of p(o). Find the first derivative of g(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2179, -2091, -1871, -1453, -771, 241, 1649?\n\"Answer: 11*y**3 + 11*y - 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:24 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5927 is divided by 592.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**4)\/z)\/(z**(-7)\/z))\/((z*z\/(z*z**(-2\/33)))\/z*z*z*z\/z**(-3\/2)))**(9\/4) assuming z is positive.\nAnswer: z**(-111\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 7*d + 9. What is the highest common factor of 33 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 smaller than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 58824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273 (base 12) to base 15.\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263\/385 smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**4\/4 - 10*a**3\/3 - 3*a**2\/2 - 15*a - 2970. What is x(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -73, 4.\nAnswer: -73, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 629 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 11:11 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 4, p: 2, y: 6, i: 3}. What is prob of picking 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {a: 4, h: 5, g: 4, b: 1, t: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 3:28 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, l: 5, k: 2, x: 3, s: 3}. Give prob of sequence vkl.\nAnswer: 25\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 10 - -2 - 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - (3 + 1 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -345, -376, -409, -444?\n\"Answer: -s**2 - 28*s - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21886 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 155*d - 17. Let o(a) = 133*a - 15. Let l(u) = 6*f(u) - 7*o(u). Calculate l(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/48 + (-2)\/6. Suppose -4*a + 13 = 5*c - 3, -a - 3*c + 4 = j. Solve a*n - 4 = -s - 3*s, 5*n - s = 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 4666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/2*g**2 + 0 + 0*g**3 - g - 1\/12*g**4. Let r(q) be the second derivative of -q**4\/12 + 2*q**2 + q. Calculate 3*f(y) - r(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*i - 6, 5*i + 2 = -3*c - 9. Suppose c*w - 175 = -0*w - 5*l, w - 62 = 2*l. Suppose 20*v - w = 16*v. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.29 - 19.51. What is the closest to -1 in -0.5, 1\/6, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 2 + 2*y)*(20 - 6 + 74).\nAnswer: 264*y - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/5, -0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 2*x - 4*x**3 - x**3 + 490*x**2 - 493*x**2 - 27 to m*x**2 + o*x + t + b*x**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - -1*-1*sqrt(65))\/(sqrt(720)*2) + sqrt(130)\/((sqrt(10) + (sqrt(40)\/sqrt(4) - sqrt(10)))*-3)*-3.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -325.85543 and 53675.54.\nAnswer: 53349.68457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6851484 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 5*y + 3*y + 1 - 1 - y + (-2 + 1 - 1)*(3*y - 4*y + 0*y) - 184*y - 24*y + 57*y.\nAnswer: -155*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3\/6 + 5*r**2\/2 + 2*r - 1. Calculate the least common multiple of 20 and m(-19).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028787 + -2321129.5?\nAnswer: -2321129.471213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 + -219. Let b = 86 + r. Suppose -4*t + b*y = -3*t - 144, -y - 516 = -4*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*r + 16 = 0, -r = -2*i + 10 + 7. Let c(g) = -6*g + g - 6 - 3*g + 7*g. What is c(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146062, -292274, -438486, -584698, -730910, -877122?\nAnswer: -1023334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d + 2. Let q be o(4). Suppose -5*f = -q + 4. Suppose 0 = -u + a + f, -5 = 4*a + a. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 - 4*f - 10. What is the least common multiple of 2 and m(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1391 = -3*n + 5*x, -32*x - 465 = -n - 29*x. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -654497 or -654504?\nAnswer: -654504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-8))\/(-4*(-3)\/(-8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558024353 rounded to the nearest ten thousand?\nAnswer: 1558020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/69 and 26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4012171 is divided by 9287.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.7 (b) 2\/3 (c) -0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 143 = -385. Let w = -19 - h. Let t = 14 - 5. Solve q = -2*f + w - 12, t = f - 4*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.16, 0.1, -4, 0, -3, -666?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 440\/(-35) - (-4)\/7. Let v be -8*((-9)\/k - 1). Suppose v*t = -4*f + 2, 5*f - f = 3*t + 27. What is the smallest common multiple of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -150.483 and 0.3.\nAnswer: -150.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -5 + -3*1. Let a(d) = 6*d**2 + 4*d - 7. Let z(p) = 48*p**2 + 33*p - 57. Let s(n) = x*z(n) + 33*a(n). Find the first derivative of s(u) wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -l + 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46965\/59 + 796. Let g = 175\/118 - i. Sort -1\/7, -1, g in descending order.\nAnswer: g, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 7:22 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d**2 + 236*d + 22. Calculate b(11).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1 + w**2 + 5*w - 91 + 18*w - 5*w. What is the units digit of f(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232 + -228. Suppose -z*k = p - 95, -p + 12 + 35 = 2*k. What is the remainder when 215 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28*s + 338. Let o be z(12). Solve 0 = 3*m - m - o, 3 = 4*t - m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*(-36)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -g. Suppose -c = -g*c. Solve c = -z - 0 + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29938863.\nAnswer: 3, 9979621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9770*k - 192092 = 4676*k + 191981 + 49307 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = -18. Let z = 1 + -0.5. Which is the third biggest value? (a) w (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let t(m) = -2*m**2 - 14*m - 4. Let q be t(-6). Suppose -q = -3*h - 2. Solve 0 = -h*v - x*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1316.16 centuries to years.\nAnswer: 131616","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.238? (a) 2\/35 (b) 0.05 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334240.126 - 3011?\nAnswer: 4331229.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1592 = 4*t - 5*k, -2*t + 2*k = -1024 + 230. Suppose -t = -7*j + 4*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -165. Suppose -3*p - p = 4*h - x, -3*p + h + 85 = 0. Suppose -22*g = -p*g + 20. Let u(d) = 5*d - 1. Give u(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3090 - -3099. Solve 44 = -h*j + 35 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1591 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 24*s - 275. Solve 0 = -5*y + 2*d - s, 4*y + 25 = -y + 3*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -2 + (-66)\/21?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 2967?\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/9 - 40540*y\/3 - 486448\/9 = 0. What is y?\nAnswer: -60806, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - 2*c)*((78*c - 53*c - 119*c)*(c + 2*c + 2*c) + 12 - 12 + 5*c**2).\nAnswer: 930*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 3*l. Suppose -3*g + 21 = -0*g. Calculate the smallest common multiple of g and z(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 630873277362?\nAnswer: 630873277366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/7)*f*(f**(14\/9)*f)\/f*(f**16)**(-8) assuming f is positive.\nAnswer: f**(-7885\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1816*n**4 - 5401*n**3 - 12503841*n wrt n.\nAnswer: -21792*n**2 - 32406*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.04117 rounded to one dp?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2838, -2843, -2848, -2853, -2858, -2863?\n\"Answer: -5*s - 2833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.97 - 483.83. Round w to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71538493, 71538485, 71538477, 71538469, 71538461?\nAnswer: 71538453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1.4, 618\/5, -5 in descending order.\nAnswer: 618\/5, 1.4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(216) - sqrt(54))\/sqrt(3).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -721.005 and 0.2.\nAnswer: -720.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 286.\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 - 2.55. Let o = g - 0.04. Let q = o - 0.31. What is the biggest value in 3, q, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - q = 126. What is the remainder when 54 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httt. Give prob of picking 1 h and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1286)\/(((-39)\/6)\/13*-4). Let u = -640 - w. Factor 0 + 2\/3*o**2 + 0*o - 2\/3*o**u + 1\/6*o**4.\nAnswer: o**2*(o - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:48 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 14. Let u be x(-4). Is (1\/u)\/((-12)\/51864) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 135. Solve -2*k = k + q - 16, 5*k + 4*q - 36 = c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**3 + 2*i**2 - 7*i + 5. Is m(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 + 4 + -2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 103*i - 787. Calculate the least common multiple of z(10) and 147.\nAnswer: 11907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-16) + (-4)\/32*-14. Suppose -2*h = 5*b - 11, 2*h + b = -z*h + 13. Are h and 20\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -386 + 4*d + 188 + 199 - 2*d. Let m(p) = 6*p - 8. Let q(f) = 2*f - 3. Let v(o) = 4*m(o) - 11*q(o). Give -5*l(i) + 6*v(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12221222 (base 4) in base 9?\nAnswer: 41328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -31932, -2\/11, 0.5 in increasing order.\nAnswer: -31932, -2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315499 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-6))\/((-21)\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 8. Let f be (18\/5)\/(39\/(-130)). Let p be -3 - ((1 - 6) + f). Calculate the greatest common divisor of p and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9)*l)\/(l\/(l\/(l*l**(-1\/3))*l)))\/((l*l*l\/(l*l\/(l*l**(-6)))*l)\/l*l**(-5)) assuming l is positive.\nAnswer: l**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52483377*g**3 + 269535423*g**2?\nAnswer: 314900262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 3*b + 2*b - 106 - b as m*b + q and give q.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/30248237 or 0?\nAnswer: -1\/30248237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**2*m - 3175*i**2*q**4 - 6*i**2*q**2 - 5*m*q**4 + 2*m*q**3 + 26 wrt q?\nAnswer: -76200*i**2*q - 120*m*q + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2867*z + 31*z**2 - 6 + 25 + 1212*z.\nAnswer: 31*z**2 + 4079*z + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-45) + -9 + 826\/126 + 2. What is the fifth biggest value in 5, m, 1, -0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998013.1 nanograms to milligrams.\nAnswer: 0.9980131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1743)\/(-36) - (-1)\/4. Let p = g - 1016\/21. Let q = -189.3 + 189.8. Which is the closest to p? (a) q (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(15)\/sqrt(5)) + (sqrt(112) - sqrt(7))**2*-3 + -5.\nAnswer: -194 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30))\/((-333)\/(-1110))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 3*s = -594604, 7*t - 9*t - 3*s + 108100 = 0. What are the prime factors of t?\nAnswer: 2, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 2)\/1)\/(8\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4507 (base 9) to base 13\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 412.823 + -413. Let o = 0.187 + p. Which is greater: o or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/120 + d**4\/3 - d**3\/6 - d**2. Let l(k) be the first derivative of p(k). Is 4 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32679, 32586, 32491, 32394, 32295, 32194?\n\"Answer: -y**2 - 90*y + 32770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14107000 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + 28b8a4?\nAnswer: 28b8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8.3 (b) -0.1 (c) 0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/12 + m**2\/2 + 10*m. Let s(t) = 13 - 1 - 19 + 4*t**2. Let q be (-34)\/6 + (-1)\/3. Determine q*v(b) - s(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**4\/28 + 3*x**3\/7 - 15*x**2\/14 + x + 53. Factor o(g).\nAnswer: -(g - 7)*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*d**6*p**2 + 66*d**3*p**3 + 11*d**2*p - d*p**3 - 2*d*p**2 - 23*p wrt d?\nAnswer: -4440*d**3*p**2 + 396*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/v**(9\/5))**25 assuming v is positive.\nAnswer: v**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(264) - sqrt(264)*1)\/sqrt(8) + sqrt(33))\/sqrt(11)*-1.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/8)\/((-2)\/36). Let x(f) = 5*f + 23. Let z(t) = -3*t - 11. Let y(p) = h*z(p) - 4*x(p). Let w be y(6). What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:17 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 633 and 50429?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -338*z + 347*z - 54. Let a(r) = -2 - 3 + 0*r**2 - 5*r + r**2. Let k be a(z). Solve 2*x + 7 = k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/2 + 2\/(-4). Let c(t) be the second derivative of 69*t**5\/20 + t**3\/6 - 2*t. Let q be c(1). What is the highest common factor of q and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 32 = -152. What is u rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59606938?\nAnswer: 2, 23, 1295803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/21 + 69\/21. Suppose k + 1 = -f - 2, -k = 2*f + j. Solve -q - 8 = -2*u, -q = -f*q + 3*u - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -39 + -1 - (25 + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*b + 1097 = 0, -963*y + 966*y - 1091 = -b. What is the lowest common multiple of y and 6?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/15 (b) -1 (c) -0.074862\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617851 is divided by 155.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 206 + -201. Solve -v*c + 6 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*q - 605 = -206*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*z + 0*z + 0 + z - 5*z - 4*z + 4 - z - 4 + (z + 3*z - 6*z)*(-1 - 1 + 1) + 2*z - 2*z + z + 2*z - 4*z + z)*(1 + z - 1).\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290.416, -2, 5, -0.1, 2\/19 in descending order.\nAnswer: 5, 2\/19, -0.1, -2, -290.416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1248)\/(192\/(-4))*(-3)\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 21\/5, 2\/11 in increasing order.\nAnswer: -2\/5, 2\/11, 21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1139 + 250 - 300)*(-6 + 6 - 2*q**4) + q**4 - 2*q**4 + 2*q**4.\nAnswer: 2379*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3*l**2\/2 + 15. Calculate v(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + v - 6750402, 0 = 9*b - 10*b - 4*v - 1687592. What is b rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 24)\/(2\/9). Let w = s + -83. Let r(k) = -3*k + 4. Give r(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -52*s**2 - 374*s + 11. Determine b(-5).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*j = -5*j, -j + 0 + 10 - 5 = -6*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -6181\nAnswer: -29\/6181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f - 6. Let l be f\/(-3) + 5 - 3. Let v be (-2)\/(((-4)\/l)\/2). Which is the closest to 0? (a) 2\/3 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-623)\/(-21) - (-2)\/6. Let i = g + -1. Suppose i - 9 = 2*t - 2*p, 2*t = -2*p + 24. What is the lowest common multiple of t and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (2 + -11 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) -0.4 (c) 29.2 (d) 1 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 1680202 in ascending order.\nAnswer: -5, -0.2, 1680202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 22*c = 30*c - 63 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (-2 + 3 + (-4)\/2). Solve 6*g = d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4 + 126\/33)\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5184 - -25919\/5. Put -3\/5, m, -4, -664\/5 in ascending order.\nAnswer: -664\/5, -4, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)*-1 - 6\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2. Let n(x) = -787*x. Give k(n(t)).\nAnswer: -2477476*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 9*x + 10 = 0. Suppose x*o - 165 = 3*k - 5*k, 3*o - 3 = 0. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1143 and 5842?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1085*s**2 + 42960*s - 2485760.\nAnswer: 5*(s - 32)*(217*s + 15536)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let g(h) = -5*h**2 + 5*h. Let f(t) = 2*g(t) + 10*w(t). Let p(d) = -2*d + 2*d + 2*d**2. Determine f(p(l)).\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/124 - -2\/31. Let h = -19891 + 19889. Sort 5, 70, s, h in increasing order.\nAnswer: h, s, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 722 divided by -4\nAnswer: -361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 14*q + 4078. Let j(w) = 4*w + 1364. Give 3*b(g) - 10*j(g).\nAnswer: 2*g - 1406","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 100011011?\nAnswer: -100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253913608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -8) + 13 - (22 + -32)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 346805 and 13473.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266462 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + 4 + -9 + 4. Suppose 78 = x*n - 0. Solve 4*d + 2*r + 19 = -r, -2*d + 2*r - n = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -10, 10?\n\"Answer: 20*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0)*-4 - (sqrt(11) + (sqrt(44)\/sqrt(4))**2)*4.\nAnswer: -44 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 874\/10 - (-30)\/(-75) and 6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/4 + 31\/4. Let y = 13.4 - 13. What is the nearest to -1 in z, 5, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) -7 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + (-4 - -7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a**3 + 6*a**3 - 23*a**3 + 5*a**3 + 1 - 13*a**4 - a to i*a + c + w*a**2 + f*a**4 + v*a**3 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10177929 or 10177931?\nAnswer: 10177929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 2547*r - 2538*r. Solve 27*y - 5 = -r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/192 and 47\/34248?\nAnswer: 273984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**6\/120 + t**4\/6 - 2*t. Let k(q) be the third derivative of o(q). Let g be 1 + (-2 - 1) + (4 - 4). Give k(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 40. Let f(b) = -4*b - 40. Let o(k) = 4*f(k) - 5*r(k). Let t be o(0). Suppose -t*u = -39*u - 466. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 199 + 44 = 0. Suppose -2*r + 220 = 4*b, r - f*b = -0*b + 145. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446340157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53855, -107712, -161569?\nAnswer: -215426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((6 - 14 - -8)\/5)\/((-1)\/1). Solve 0 = -2*v + 3*l + 1, g = -11*v + 6*v + 3*l - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40568*v**2 - 40895*v**2 + 81401*v**2.\nAnswer: -62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = s - 8, 3*l + s - 11 = 0. Suppose -5*p = l*z + 25, -2*z + 33 = -4*p - 13. What is the remainder when 39 is divided by 18\/15*(-75)\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2725 less than -2726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/120 + s**4\/24 + 143*s**3\/6 - 2*s**2. Let a be d(0). What is the greatest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -348084*h**3 + h**2*q + 515*h*j + j*q - 3*j + 103*q + 1 wrt h.\nAnswer: -1044252*h**2 + 2*h*q + 515*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 693581, 693659, 693789, 693971, 694205, 694491?\nAnswer: 694829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*r - 20438 = 3693*r + 24042 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 + (10 - 7 - (1 - -9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 8\/((-280)\/133).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*4\/154 + (-1047)\/5940. Let j(k) be the third derivative of 1\/36*k**4 + 0*k - m*k**6 + 2\/9*k**3 + 0 - 6*k**2 - 1\/45*k**5. Factor j(l).\nAnswer: -2*(l - 1)*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-9)\/(-180))\/(5\/(-220)*6\/12)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**3 - 13*l**2 + 7*l**2 + 9*l**2.\nAnswer: -20*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31182312?\nAnswer: 2, 3, 7, 313, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 7216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 528.7*292\nAnswer: 154380.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 65. Let x be a(8). Let c = 2754 + x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 8*r**2 + 7*r + 1. Let v be w(7). Suppose 384 = b + g, 0 = g - v - 4. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 104. Let t be m(26). Let z(k) be the first derivative of -2 - 1\/2*k**4 + 0*k**2 - 2*k + t*k**3. Differentiate z(n) with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 9, 10, -37.5, 4, 2\/13 in ascending order.\nAnswer: -37.5, 2\/13, 2\/3, 4, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.066 and 20.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -41\/2 (b) 7 (c) 2\/19 (d) -0.4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 16. Suppose -3*j + d + 7 = 0, -p*j + 2*d - 2 = -12. Suppose -4*f - 9 = -j*u + 75, u + 5*f - 15 = 0. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(5\/(-35)) + -84. Let l = 131 + t. Calculate the highest common divisor of 378 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100121 (base 4) to base 13.\nAnswer: -629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*c**2 - c - 3\/2.\nAnswer: -(c + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311132 (base 4) to base 14\nAnswer: -1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -259822?\nAnswer: -62\/129911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 421*l**2*m**5 + 63*l**2*m**2 + 4*l**2 + 2*m**5 wrt m?\nAnswer: 25260*l**2*m**2 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7668 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -26, 5 in increasing order.\nAnswer: -26, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 803185766 to the power of 1\/2, to the nearest integer?\nAnswer: 28341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 10:55 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 - 48133*j\/8 - 48129\/2.\nAnswer: -(j + 4)*(j + 48129)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24560 = -12*p + 43492. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:22 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkp when three letters picked without replacement from pfftk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -81*h**3 + 2*h**2 + 8*h + 10. Let s be r(-2). Calculate the greatest common divisor of 520 and s.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5655740 to the nearest 10000.\nAnswer: -5660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(16)\/sqrt(4)*1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3508 divided by 877.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 15*b**2 + 14*b + 27. Let j be o(16). Let g be (-68)\/j - (-10)\/25. Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41393 is divided by 20587.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.37? (a) 2\/3 (b) -2\/5 (c) 0 (d) 6178\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161950, -323873, -485796, -647719, -809642?\nAnswer: -971565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by 1257330\nAnswer: 53\/628665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 - 838381*x**3 + 634549963*x**2?\nAnswer: -24*x - 5030286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 z when four letters picked without replacement from {z: 7, u: 3, j: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 109. Let y be 544\/(-80) - -7 - 268\/(-10). Determine a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2\/19*f**4 + 0 + 0*f - 18\/19*f**3 + 16\/19*f**2 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 2252*k = 0.\nAnswer: -563, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -35. Solve p = -0*p - f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.32568 + 0.07432. Sort t, -1.4, 1, -3, 4 in ascending order.\nAnswer: -3, -1.4, t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 17)*((-644)\/(-8))\/7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 136*x - 4. Let y(s) = -7*s**2 - 139*s - 5. Give -4*p(o) + 3*y(o).\nAnswer: -o**2 + 127*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 8:16 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101111101111111 + 1?\nAnswer: -1101101111101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1040743123*l**2 - 769797426?\nAnswer: 2081486246*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 + -211. Let w = i + -87. Find the second derivative of 16*p**4 - w*p - 38*p**4 - p wrt p.\nAnswer: -264*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -83?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.61, 0, 24, -0.074?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v - 22. Let i be r(-7). Let b(j) = -j**2 - 7*j - 1. Let y be b(-6). What is the highest common factor of y and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35300.\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {v: 1, h: 1, x: 2, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7*u = 30. Suppose 28 = u*b - 12. What is the common denominator of -109\/14 and 3 - ((-212)\/b + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 359973430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1509\/14, 0.3.\nAnswer: -1, 0, 0.3, 1509\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1661*l**2 - 1657*l**2 + 3311*l**2. Let s(z) = -2*z**2 - 7. What is s(h(f))?\nAnswer: -98*f**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let u(k) be the third derivative of -k**5\/60 - 5*k**4\/24 + k**3\/6 - 4*k**2. Let g(h) = -6*b(h) - u(h). Let i(r) = -r + 1. Determine g(a) + i(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0866 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 66. Let v be j(-17). Solve 20 = 6*u - v*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114*h**2 - 12*h**2 - 6*h**2)*(2 + 2 - 6)*(-4*h**2 + 0*h**2 + 0*h**2).\nAnswer: 768*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1176*z + 18. Let k(t) = 3*t + 3. Give -6*k(b) + u(b).\nAnswer: -1194*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.31 + 0.31. What is the second biggest value in o, -4, -0.4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1111, 0.2, -24050, 2 in increasing order.\nAnswer: -24050, 0.2, 2, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let j(c) = -c. Let z(b) = -2*b**2 + b. Let h(x) = -j(x) - z(x). Determine h(g(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let n(w) = 7 + 1 - 8 + 9*w. Give n(x(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -2. Let z = -50 - -92. Let y = -42 + z. Solve 2*m + 5*i = -t - 0, -m + 3*i + 9 = y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -34. What is the greatest common divisor of 16 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*z + 44*z + 46*z - 13 + 3 to i*z + w and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8644 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 10 - 10)*(-3*v**2 + v**3 + 3*v**2)*(1 - 2 - 1).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 24985281973 + 18*d**2 - 24985281973.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13600.527 and -96736?\nAnswer: 83135.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 0.4 (b) 4 (c) 7\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54411 - -101?\nAnswer: 54512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36310, 36, -0.073?\nAnswer: -36310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37206 + 119766116\/3219. Let u = -315496\/54723 + h. Which is smaller: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303990 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3468 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 {k: 2, q: 1, p: 2, w: 1, y: 1}. Give prob of sequence wp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1252 + 1252. Which is the fourth biggest value? (a) 0.04 (b) 0.5 (c) m (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94944936.\nAnswer: 2, 3, 211, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 - (-10 + 5 + -1 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 39 + (9 - 7) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -38. Find the common denominator of 27\/7 and 12\/(-30) + (-742)\/f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_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 d = -1.2 - -1.15. Let o = d - 0.15. Which is the biggest value? (a) -2\/5 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {c: 5, o: 4, y: 1, m: 6}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 87. Is 8\/31 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58, -120, -184, -250, -318, -388, -460?\n\"Answer: -i**2 - 59*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519415988?\nAnswer: 2, 37, 17023081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = -60. Let h(w) = w + 5. Let m be h(-4). Let k be 3\/1*(2 - m). Solve k*b + v = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -3. Let p = -64 - -59. Let q = 0 + p. Put q, 1\/5, x in decreasing order.\nAnswer: 1\/5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**8\/280 + l**7\/50 - l**6\/40 - l**5\/20 + 7*l**4\/40 - l**3\/5 + 19*l**2. Determine t, given that q(t) = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 5. Let s be j(0). Suppose -3*h - 5*p = -s*h + 180, -4*h + 332 = -3*p. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 326 + -322. Suppose -612 = -21*y + k*y. Calculate the least common multiple of y and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - a - 131, 3*a = -l + 4*l + 147. Calculate the common denominator of 1 and (-3)\/(-24)*4 - l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/4))**(6\/13)*l**(-24)*(l*l\/l**24)\/l assuming l is positive.\nAnswer: l**(-1195\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6\/11, 0.5, 0.2, -330, 38 in increasing order.\nAnswer: -330, -0.1, 0.2, 0.5, 6\/11, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2346*z**3 - 2358*z**3 + 4702*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1.57, 0.05, 0, 112, -2, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(153)*6.\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520, 1033, 1542, 2047, 2548, 3045?\nAnswer: 3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164325*260.\nAnswer: -42724500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -8 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1240 + -1239.877. Round s to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904169751.\nAnswer: 7, 83, 4998571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u, -29 + 1 = -5*d - u. Let y be d\/(-6)*(-1 - 3). Solve -p = -y*a + 19, p - 4*p = -2*a + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 1 + 9. Suppose p - 27 = -0*p. Suppose a*m = 3*m - p. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645942985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35.34+139.13\nAnswer: 174.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -693\/83473 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.72 + -0.68. Let n = -181479\/142 + 1278. Let w = 257\/1278 - n. What is the fourth biggest value in w, u, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6908926.\nAnswer: 2, 457, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 517*b + 3. Let l(k) = 17*k. Calculate r(l(i)).\nAnswer: 8789*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*s + 83 - 83)*(0 - 15 + 6)*(-4 + 3 + 0)*(0 + 0 + 2*s**2).\nAnswer: -828*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -144. Solve -d + 4*y + 4 = 0, n*d + 0*y - 20 = -y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = 29. Let z(q) be the first derivative of -r*q**2 + 0*q + 6*q + 2*q**2 + 4 - 3*q. What is the derivative of z(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-824)\/(-618))\/((-8)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012200967 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 124, 167, 236, 337, 476, 659, 892?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/245 - 2351\/2205. Suppose 4*m - 25218 = -8222. Let c = 25591\/6 - m. Find the common denominator of c and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 7 + (-10 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*h - 1976 = 100*h. Let b = 3 - -5. What is the highest common factor of b and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73847 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 98. Solve a*z + i + 3*i - 32 = 0, -17 = -4*z + i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/7256 and -181\/2670.\nAnswer: 9686760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 30, 4*l + 3*s + 88 = 110 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.5171627 + 3.50316897. Let r = a - -1.014. What is r rounded to 7 decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 14 - (-2 + 3). Let c = l - -17. Find the third derivative of 5*v**2 - 2*v**c + 3*v**2 + 3*v**3 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 1, m: 1, y: 1, w: 4}. Give prob of picking 2 w and 1 c.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 smaller than 2929983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/19 + 6*i\/19 - 8\/19 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 23 = 3*j - o, -4*o - 38 = 5*j. Let m be 6\/(-30) + (-2)\/j. Factor 1\/2*g - g**4 + m - 1\/2*g**5 + 0*g**3 + g**2.\nAnswer: -g*(g - 1)*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18531, -73592, -165187, -293316, -457979, -659176?\nAnswer: -896907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 634552\/29 - 21881. What is the smallest value in -7, 4, y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16379 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5753*j = -5878*j + 3875 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 39*g.\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59540 is divided by 7114?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, -2\/3, 6, 2\/67?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -121505*h - 5589217. Give p(-46).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 3478549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - q)*(2*q - 7*q**2 + 4 + 19*q**2 - q**2).\nAnswer: 11*q**3 + 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885675 to the power of 1\/2, to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*w. Let r be w\/2 + 285\/6. Suppose 2*q + r = 6*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/113 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 427182 and 56?\nAnswer: 1708728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b + 5532 = -3916 + 7544 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 248 + -99 - (-102 - -215)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 19*g + 4 - 2 + 20*g. Let i = -6 + 3. Let l be b(i). What is the greatest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-13) + (-548)\/(-13). Suppose r - 36 = -2*j, 0 = -4*j - r + 34 + b. Suppose -n = 3*n - 3*d - j, 0 = -4*n - 5*d + 52. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 9*v + 14*v - 36*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**3 - 14*x**2 - 18*x - 17. Let h(w) = -11*w**3 - 29*w**2 - 36*w - 36. Let t(u) = 4*h(u) - 9*s(u). Determine t(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1313*j - 10500*j + 1547503 for j.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(3\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by -1\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11101010110111101010001 (base 2) to base 14\nAnswer: -1044a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microsecond in nanoseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -841152658*a**2 + 207365*a - 1879?\nAnswer: -1682305316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 + -129.95. Let h be (3\/6)\/(2\/(-4)). Which is the third biggest value? (a) 0 (b) -1\/4 (c) h (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c + 95 + 17*c - 6 - 4*c. Let g(w) = 5*w + 15. Let u(y) = -34*g(y) + 6*m(y). Differentiate u(s) with respect to s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 138, 65, -8, -81?\n\"Answer: -73*x + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 15 = 13. Sort j, 4, -6.\nAnswer: -6, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-22)\/(-8) + 12\/(-16). Suppose -6 - o = -2*q + k, 0 = -4*q + 3*k + 22. Suppose -v + 348 = 3*v - 4*b, -v = -q*b - 96. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01099 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 2bd4455?\nAnswer: 2bd4459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 42 = 2*z. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979584453 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uum when three letters picked without replacement from uuuuuummuuuuu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1535 (base 10) to base 9\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/3 + 500*l**4\/3 + 12108*l**3 + 598600*l**2\/3 - 859478*l\/3 - 1276900 = 0.\nAnswer: -113, -25, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxcc when four letters picked without replacement from {x: 12, g: 3, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -13289.\nAnswer: 6\/13289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 220229*f. Let v(l) = l**2. Determine z(v(u)).\nAnswer: -3*u**4 + 220229*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308328630 to the power of 1\/3, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - 34\/(-10). Let a be (-10)\/(-15) + (-129)\/(-9)*1. Suppose -3*m + a = -6*m. Put b, 2, m in increasing order.\nAnswer: m, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*v - 215*v - 245*v + 708*v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {p: 1, u: 4, y: 7, n: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -183.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**5 - 215*v**4 - 2295*v**3 + 6515*v**2 + 134600*v + 126000 = 0.\nAnswer: -20, -9, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -11*j - 31. Let u(f) = 5*f + 15. Let l(o) = -4*a(o) - 9*u(o). Let h(q) = 140*q. Let b(y) = -23*y. Let x(c) = -6*b(c) - h(c). What is x(l(s))?\nAnswer: 2*s + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3866 - 3871. Which is the nearest to 13? (a) -1\/21 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 302 = -u + 617, 0 = -s + 3*u + 187. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:00 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000367526504 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*h)*(-20081*h - 5751*h - 2659*h) in the form j*h**2 + b + w*h and give j.\nAnswer: -56982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4870 + -4868. Which is the fourth smallest value? (a) -7 (b) -1.1 (c) 1\/4 (d) i (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c + 5*c**3 - 3*c - 12*c**2 wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 114 = -b + 2*b, -k - 38 = 3*b. What is the units digit of k*(9\/(-6) - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031773 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1030*r**2 + 88 - 271 - 78 - 8 - 318 - r wrt r?\nAnswer: -2060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = a + a - 28, -3*r = a - 14. Is 13 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404280 and 3201673.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3 - 295*v + 131*v + 162*v. Let m = -16 - -38. Let s be 2\/(-8) + m\/(-8). Calculate x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*o - 1054, -6*o - 260 = -b - 10*o. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6616551 is divided by 1981.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x**3 - 3*x**3 - 2*x**4 - 14*x**3 + 4*x**2 + 9 as m + s*x + l*x**3 + c*x**4 + j*x**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -188.363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5)\/p*p*p**(-2) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:26 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654559 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -8, 2\/7, -0.356, -0.04?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 6:59 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of ((-2)\/(-3))\/(4\/3213)*392\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 93 + 2*p**2 + 179.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17986 greater than 17985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07345 - 2117.83.\nAnswer: -2117.75655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3519 and -1044084.\nAnswer: -1047603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 + 149. Let j = b + -17. Let g(n) be the first derivative of -n**2\/2 - 3*n + 20. Calculate g(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 0*l + 0*l)*(512 - 512 - 445*l)*(-3 + 3 + 2)*(-l + 0*l - l) as r*l**3 + m + i*l**4 + t*l**2 + f*l and give i.\nAnswer: -3560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 137587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -39. Let j = t - 151\/5. Which is the third biggest value? (a) j (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose -3*l - 10 = -8*l. Suppose 120 = l*y + 3*y. Calculate the greatest common factor of v and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1598952 - 2?\nAnswer: -1598954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-2)\/(4950\/33)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -29, -0.07, -0.57, 2\/3, -0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 775 and 682.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*h + 85*h**2 + 88*h**2 - 49*h - 256*h**2 + 81*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*d - 2885, -3*d = -8*d + 2*p - 3601. Let m = 1050 + d. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 489 = u. Suppose t + 2*y = 104, -y - u = -5*t - 0*y. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + -3 + sqrt(272) - sqrt(272)) - (sqrt(272) - (0 + sqrt(272)))*4*-4)**2 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.154 times -1.63942\nAnswer: -0.25247068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-9)*24\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -33*n - 3. Let b be q(-2). Calculate the highest common factor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1445 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -294, -587, -884, -1185, -1490, -1799?\n\"Answer: -2*r**2 - 287*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -4*a**2 + 9*a**2 - 171*a**3 + 25 + 160*a**3. Find the second derivative of g(l) wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 961 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 x when four letters picked without replacement from {k: 2, b: 3, x: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b**2 + 3*b)*(-2*b - 2*b + 2*b) + 0*b**3 - 2*b**3 + 11*b**3 + (-2*b - b + 4*b)*(4 + b**2 - 4).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m. Let x(i) = -10*i + 6. Let o(u) = 17*u - 11. Let c(j) = -6*o(j) - 11*x(j). Give z(c(k)).\nAnswer: 88*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 20*s - 19. Let w(l) = -3*l**2 + 59*l + 56. Let j(f) = 6*w(f) + 17*x(f). Let b = -16 + 63. What is the remainder when b is divided by j(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*h + 4690*c**2 - 11*c*h + c + 131461*h + 213 wrt h.\nAnswer: -2*c**2 - 11*c + 131461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and -82.341?\nAnswer: 82.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 667999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-981\nAnswer: 68.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-3))\/(3\/9). Let i(t) = -t**3 - 5*t**2 - 5*t - 1. What is the units digit of i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.7456 months in centuries?\nAnswer: 0.247288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 8\/12)*6. Suppose -t*w + 16 = -2*w. What is the highest common factor of 64 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + n + 289, 2*n - 4*n = -m - 87. Let w = 63 + m. List the prime factors of (48\/32)\/((-6)\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2027, 2026, 2025, 2024, 2023?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -463 - 17509?\nAnswer: -17970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.82 - -50. Let p = 4.18 - k. Suppose -5*y + 5 = -25. Which is the fourth smallest value? (a) -2 (b) y (c) p (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 635153 and 64457.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(1\/3)*(q**18*q)\/q)\/(q**(-11)*q**(10\/9)))**31 assuming q is positive.\nAnswer: q**(8246\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*m*m*(m\/((m**(-3\/8)\/m)\/m))\/m*m*m)\/(m**(5\/4)*m**5\/m))\/((m\/((m\/((m**(-6)*m)\/m))\/m))\/(m\/m**(-8)))**(-47) assuming m is positive.\nAnswer: m**(-5223\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 + 7*j + 9. Let u be f(-6). Suppose -m = -u*m + 40. Suppose -132*x + 18 = -123*x. Solve -x*a + m = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x*x*x\/x**(2\/19)*x*x*((x*x\/(x*x**(2\/5)))\/x*x)**23)**(-16) assuming x is positive.\nAnswer: x**(-27656\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*c + 3 - 30, -3*r + 2*c = -47. Suppose -4*s + 49 = r. Suppose -3*p + s*p - 110 = 0. What is the greatest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 + 6*l**3 + 4 - 4*l - 1. Let x be 0 + -2*(-4 + 15\/5). Let z be s(x). Solve 3*d + z*h = 0, d + 3 = h - 3*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*s - 3*j, 0 = s + j - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*x - 26*x + 46*x - 93*x)*(2 + 2 - 5).\nAnswer: 164*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 11*l = -5. What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9224 is divided by 225.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 1, -5, -7, 3 in increasing order.\nAnswer: -7, -5, 0, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16282220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 59 + 21*u**3 + 49 - 19*u**3 - 157.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(3\/2)\/p)*p*p**7*(p**(-17\/3))**(1\/13))**40 assuming p is positive.\nAnswer: p**(14140\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171838 is divided by 3905.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(-709 + 135*n**3 + 709) - 4*n**3 - 4*n**3 + 2*n**2 + 4*n**3 - 2*n**3 - 4*n**3 + 2*n**3 + 2*n as l + p*n**3 + r*n + a*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.29 (c) -385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -2 - -3 - (-24 + 26). Let w = 3 - 2. Let g be (w\/4)\/(1\/(-6)). Is a >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and -398209?\nAnswer: 11149852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**3*s*u**3*x**2 - p**3*s*x**2 - 63609*p**3*u**3 + p**3*u*x + p**2*u**2*x**2 + 13*p*s*u**2 - 13*s*u**2*x wrt u.\nAnswer: -18*p**3*s*x**2 - 381654*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbcefoe. What is prob of picking 1 c and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*k = -4*f - 9, -3*f - 4*k + 12 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612661 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 317 + -3483\/11. Let c be 72\/(-110)*(-60)\/24. Factor -c*f**2 + x*f + 8\/11*f**3 + 0.\nAnswer: 2*f*(f - 2)*(4*f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.176 + 0.076. Which is bigger: v or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = k + 5*j + 1, 2*j + 10 = 4*k. Suppose -4*b + 32 = 4*p, 6*b - k*p = 3*b - 11. Suppose -8 = b*v - 41. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1078\/17*v - 140\/17*v**2 - 38\/17*v**4 + 212\/17*v**3 - 686\/17 + 2\/17*v**5.\nAnswer: 2*(v - 7)**3*(v + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2464 = 18*h. Let k = -114 - h. Suppose 0*j**2 + 20*j**3 + 0*j**4 + 0 - 5\/2*j**5 - k*j = 0. Calculate j.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84010.12 millilitres in litres?\nAnswer: 84.01012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 + 14 + -15 + 6 + 20)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2927 or 3302?\nAnswer: 2927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Suppose -2*h - 7 = -y, v*y - 2 - 18 = 2*h. Let u(x) = -2*x + 31. Let p be u(y). Solve -4*q - 10 = f + 15, -5*q + p*f = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:55 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -7*x**3\/6 + 100*x. Let y(k) = -12*k. Determine y(h(j)).\nAnswer: 84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*((-688)\/96)\/((-120)\/40).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 208984242*n + 3639534450359547.\nAnswer: 3*(n - 34830707)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 - 5)*(-2*p**2 + 0*p**2 + p**2)*(15*p**2 - 8*p**2 + 19*p**2).\nAnswer: -104*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyyfyffffffffffyfff. What is prob of picking 4 f?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w - 24. Let h be z(13). Let 23*i - 17*i - 10*i**2 + i**3 + h*i**4 + i**3 = 0. Calculate i.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 8, -5*n + 14 = 5*h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3\/2 + 4*c**2 - 9*c\/2 - 9 = 0.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265215*h**3 - 11*h**2 - 1719 wrt h?\nAnswer: -1591290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10959.\nAnswer: 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.103828246 and 32.37?\nAnswer: 39.473828246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 65?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2774*t**3*x**3 + 2*t**3*x - 24*t**2*x**3 + t**2*x - x**3 - 21*x wrt t.\nAnswer: -16644*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.8 + 5.5. Let h = 1 + -1. Let k = 0.459 - -0.041. Which is the second smallest value? (a) k (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkkhhh. Give prob of picking 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35262 = -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*n - 2010, -n = -3*d + 217 + 1293. Calculate the highest common divisor of d and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**2. Let r(x) = 190*x + 32. Let a(j) = -199*j - 24. Let p(d) = 4*a(d) + 3*r(d). What is w(p(g))?\nAnswer: -408608*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -22*g**3 - 3047*g**2 - 4524*g - 388. Determine b(-137).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 + 3*j - 12. Let l be g(-5). Let b be (l\/5)\/(2\/(-10)). Solve b*q = -2*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-2)\/(((i*i**(-1\/2))\/i*i)\/((i*i**(-3\/4))\/i))*((i\/(i**0*i*i))\/(i*i*i\/i**6))\/((i*i\/(i**6*i))\/(i**(-7)\/i)) assuming i is positive.\nAnswer: i**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 2\/27 (c) 1 (d) 46 (e) 4 (f) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lillwvql. What is prob of picking 1 i and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -1\/7, 14, -3, -4, 3915?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 30. Suppose -g*w - 5*t = -4 + 17, 4*w = 3*t + 13. Suppose 3*i - 2*i - 14 = -4*z, 3*z - 4*i = w. Solve z*p + 2*p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + 1 - (20 - (-2 + 5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 37. Calculate m(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/205? (a) -5 (b) 0.4 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 86. Suppose -5*w + 3 = -2. Sort r, w, 10.\nAnswer: w, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 7. Let y be n(-8). What is the common denominator of (-6)\/(-96)*178\/2*y and 77\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -58 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 66, 92?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112349 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577*i - 572*i - 65 = 0. What is the biggest value in 0, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/6 - 41*y**2\/6 - y\/6 + 41\/6 = 0.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14384*b**3*m*s - 3*b**3 - 45*b**2*s + 4*b*s + m*s*v - 2*m*v + 2*s*v + 4*v wrt m.\nAnswer: -14384*b**3*s + s*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065692 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1 + -1)*1. Let z = -42 + 44. Suppose p + 5*o - 49 = g, p - 3*o + z*o - 19 = 0. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2480\/208 + (-31 - -19))\/(2\/4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/8 (b) -149 (c) 2\/9 (d) -2\/13 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2259 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + ((-1 + sqrt(1568) - sqrt(1568))*-5 - sqrt(1568)) + -5 + 1))**2*-1.\nAnswer: -25152 + 1792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652.221522 minus 1138?\nAnswer: -2790.221522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 602768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**3 + 0 + 1\/20*n**5 + 0*n**4 + 0*n**2 + 7*n + 1\/30*n**6. Solve z(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5570706 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 5) + 0 + 32. What is the greatest common divisor of f and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28277282 divided by 1488278\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169284 is divided by 84561.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 + 5*i - 2. Let g(b) be the second derivative of -b**5\/20 - b**4\/2 - 3*b**2 - 5*b. Let j be g(-6). Calculate w(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -94.01. Let h = 0.047 - b. Which is greater: h or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2245822 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*j + 319. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 + 4*h**2 - 2*h**2. Let s(z) = -z**2 - 4*z - 1. Let m be s(-5). Let x be 1 - 3\/(m\/(-4)). Calculate q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/251 and -47\/41?\nAnswer: 10291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*p - 25785 - 7511, -2*h = -4*p - 22196. Is 92 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/12)\/((-1)\/(-27)). Let v(i) = 5*i**3 + 3*i**2 + 4*i. Let b(x) = -x**3. Let r(z) = -6*b(z) - v(z). Let m be r(4). Solve m = 2*p - h - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -1)*(1 + -3 - 1). What is the greatest common divisor of r and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4*w**2 + 17*w - 52. Let s be j(-5). What is the greatest common divisor of 152 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmlm when four letters picked without replacement from {m: 5, l: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 20. Let o(t) = -t + 12. Let k be o(11). Sort -2\/19, k, -4, m in decreasing order.\nAnswer: k, -2\/19, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -35.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -2*o + 15, 3*r = 31*o - 30*o - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/52670 and 61\/198030.\nAnswer: 45348870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2 - -1)*0. Let n be 0 - (2*(-44)\/(-40) - 3). Is u not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/1203 (b) -572 (c) 0.3 (d) -2\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1773 + -1773.00025764. What is q rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 621 and 36133?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2 + 16012*z + 12516768 = 0.\nAnswer: -7128, -878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20525 - 14171. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -2*3*sqrt(110))\/(sqrt(110)\/(sqrt(11)*-2)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2515?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 9*h + 17. Let i(n) = -n**2 + 5*n - 8. Let b(s) = 3*a(s) + 5*i(s). Let u be b(0). Calculate the highest common divisor of u and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58511 is divided by 3249.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + 63. Suppose 3*l + 36 = q. Suppose 0 = 4*i - 4*c - l, c - 46 = -2*i - 2*i. Solve -5*u - 37 = -i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 3*o**2 - 3*o - 4. Let m(z) = 11*z**3 - 19*z**2 + z + 1. Let a(d) = 3*d**3 - 5*d**2. Let p(x) = 4*a(x) - m(x). Give -c(t) + 3*p(t).\nAnswer: 5*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 5*w - 4. Let g be f(6). Let d(l) = -l + 18. Let n be d(0). What is the greatest common divisor of g and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 8. Suppose 5*s - 10 = -4*l - l, -l + 22 = -4*s. Is 5 a factor of a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(sqrt(3) - sqrt(6)\/sqrt(2)) + -5) - (sqrt(30)\/(sqrt(10)*3) + (-1 + -2*sqrt(3) + sqrt(3) + sqrt(3) - sqrt(3))))**2.\nAnswer: -12*sqrt(3) + 247\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzt when three letters picked without replacement from {w: 9, t: 1, g: 1, z: 5}.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 23*q**3 + 2*q - 8*q**3.\nAnswer: 15*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6615)\/42*12*(-4)\/(-108).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 2\/7, -7\/4, -31?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(140))\/sqrt(4) + (sqrt(35) - ((sqrt(420)*2)\/sqrt(12) + sqrt(35))))\/(-4*sqrt(80) - sqrt(5) - 4*sqrt(15)\/sqrt(3)).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2\/26) + -1. Let k = 14 + -11. Calculate the greatest common divisor of k and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12005 + 242?\nAnswer: -11433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -801*k**2 - 2*k - 4. Let s(i) = -1602*i**2 - 4*i - 9. Determine 2*s(r) - 5*x(r).\nAnswer: 801*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 28, 4, 5, 8, 38 in ascending order.\nAnswer: -4, 0, 4, 5, 8, 28, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) 2 (b) -1 (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53a - -2?\nAnswer: 53c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/108*12\/22?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 29*x - 84. Let z be o(31). Suppose -3*h - z + 2540 = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 3*y - 19 + (0 - y + 0)*(5 - 1 - 1) + (-6 + 0 + 5)*(-3*y - y + 3*y) as p + n*y and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0) + (0 + -9 - (3 - 12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccpppcsscccc. What is prob of picking 1 s and 2 c?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1845 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -7*l - 875 + 1044 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 1, i: 1, d: 1, t: 2}. Give prob of sequence llil.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/3)*y)**(-18))**(11\/5) assuming y is positive.\nAnswer: y**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 367. Let l(a) = -4*a**2 + 6*a. What is l(m(k))?\nAnswer: -4*k**2 + 2930*k - 536554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-5))\/(5\/(-100)). Differentiate -31 - 19 + 2*h**3 - 5*h + r*h wrt h.\nAnswer: 6*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14874942*y**4 - 7*y**3 + 91138864*y**2.\nAnswer: 356998608*y - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h - 653*h**2 + 786.\nAnswer: -653*h**2 + 786","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 12*r**2 - 14*r + 16. Let b be f(11). Let k = b - -2. Let t = -2 - k. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 - 10*v**2 + 394*v + 3923. Determine k(-10).\nAnswer: 1983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88? (a) 1\/9 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1864, -7098, -15810, -28000, -43668, -62814?\n\"Answer: -1739*v**2 - 17*v - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(14)\/sqrt(2) - sqrt(7)) + sqrt(7))*4*-2 + -4*(sqrt(7) + (sqrt(7)*2 + 2)**2)).\nAnswer: 44*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 3*h**2 - 7*h**2)*(2*h**3 + 4*h - 4*h**3 + 5*h**2 - 5*h).\nAnswer: 16*h**5 - 40*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162342 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/140 and 117\/45430.\nAnswer: 90860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.13 and -8.\nAnswer: -5.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 373*l + 7. What is k(-1)?\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112738269179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 - 4*r**2 - 3*r = 0. What is r?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -194, -1\/5, 0.4, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzppzl. What is prob of sequence zlp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/7, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 8393?\nAnswer: -8396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/19)\/h*h*h\/(h**(5\/2)*h)*h assuming h is positive.\nAnswer: h**(-61\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = -o + 39, -37 = -3*o + d. Let v be 1\/(-3) - o\/(-6). Solve 0 + 15 = -v*n - 3*g, 2*g = 2*n - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-15)*(-1 - (9 - 15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -3\/5, 4, -3, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, b: 2, o: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/29? (a) -45\/71 (b) 4 (c) 3 (d) -2\/265\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-11) + 254346\/(-22). Let k = 16561 + m. Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651453\/50 smaller than 13028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3519 = -7*r. Calculate the highest common factor of r and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:26 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345710814 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*v = 0, -2*p = 135*v - 139*v - 36. Calculate the least common multiple of p and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/4*2\/(-1). Let u be 32\/(-4 + 8) + (-9)\/(-3). Suppose 3*b = s - u. Solve -r + 2*r = -b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*y + 2)*(-1 + 0 + 0)*(-2 + 4*y - 2*y - 3*y).\nAnswer: 5*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-8 + 11) - (3 + (21 - 3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, n: 1}. What is prob of sequence ono?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/(-116)*(-8)\/10. Let w = 2.7 - 3. Which is the second biggest value? (a) q (b) -2\/7 (c) w (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a factor of 1220417177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -120, -2, 1.\nAnswer: -120, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 z, and 1 l when four letters picked without replacement from {l: 1, e: 7, z: 12}?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 578*v**2 - 487*v**2 + 391*v**2 + 620*v**2 + 2*v**2 - v**2 + v**2 + (2 - 2 + v)*(-3*v + 3*v - v).\nAnswer: 1103*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*k**2 + 25081*k**2 - 24826*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -23. Let m = w + 1. Suppose -n = m*v + 1 - 2, 5*n + 3*v = 65. What is the highest common factor of 40 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199977.\nAnswer: 827, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0.999999. Round d to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*i**2 + 367*i**2 + 770*i**2 - 220*i**2.\nAnswer: 1254*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*s - 4 = 2, 2*s + 40 = 3*m. Let p be (m\/(-15))\/(6\/(-15)). Suppose t = p*t - 3. Solve 4*g = -t*z + 15, -z - 3*z - g = -7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 42. What is the closest to 5 in 5, 1, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 412050?\nAnswer: -412063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3))**(-6\/5)*o**11\/(o\/o**(-2\/11)))**(-25\/4) assuming o is positive.\nAnswer: o**(-1845\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -50. Let j(y) = -y**3 + 11*y**2 - 10*y - 3. Let t be j(n). Let f be (2 - (-21)\/(-12))\/(t\/(-12)). Is 0.14 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, -0.2, 6, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (615\/(-1845))\/((-2)\/102).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 12*c - 7. Let p be u(11). Suppose 5*i = p*i - 2. Let j(o) = 5*o**2 - 2*o. What are the prime factors of j(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(3*t - t**2 - 3*t)*(-5*t**2 + 0*t**2 + 9*t**2 + t).\nAnswer: -8*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -580, -596, -626, -676, -752, -860, -1006?\n\"Answer: -x**3 - x**2 - 6*x - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*w = 49 - 60, -z - 4*w - 7 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + 0.96. Let x be 32\/56 + (-1 - 8\/14). What is the closest to g in -0.08, -5\/4, x?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**3 - 1457*s**2 + 2412*s wrt s.\nAnswer: 18*s - 2914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 1. Let m = 87 + -85. Determine u(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.636 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m - 6. Let o be v(-2). Suppose -5*c - 17 + 197 = o. Let u = 47 + -23. What is the highest common divisor of c and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-9))\/(-1 - (-42)\/54). Let a be (-4 + 4)*((-27)\/z - 2). Solve -s - 23 = -5*d - a*d, -5*s = 4*d - 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from uuddduuuudyud.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1286044 + -b?\nAnswer: -128604f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3044 and 32.\nAnswer: 24352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 37c2?\nAnswer: 37cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 - (-5 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, 18, 59, 136, 261, 446, 703, 1044?\n\"Answer: 2*b**3 + 3*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/17 - 22\/85. Put 8, 0.2, d in descending order.\nAnswer: 8, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1225 and 875.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 17870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2919 + -1323. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (30 - 34)\/((-2)\/(-4)) + 6. Let g(m) = 4*m**2 + m + 4. What is g(s)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 171, 82 in increasing order.\nAnswer: -96, 82, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 + 3*n**3 + n**3 - 3*n**3 + 0*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -9, 26, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 + 19318*j**3 + j**2 + 3984522*j wrt j.\nAnswer: 80*j**3 + 115908*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3125218*w**2 + 23029840.\nAnswer: -6250436*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 7 + -7 + 25 + -9 - 14 - -72.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 26*k**2 - 1702*k - 12850. Let h be d(-7). Let j = -0.4 + -0.1. Put -17, j, h in increasing order.\nAnswer: -17, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41294000549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*c + 12*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -14 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-70))\/(-2 + (-45)\/(-63))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = o - 0*o, o + 4*d = 6. Suppose -o*g + 95 = r - 4, 3 = r. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28799583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*m + m + 6 = 0, -5*m - 3 = -4*c. Suppose 2*d + 3*v - 210 = -c*v, -10 = 5*v. Calculate the lowest common multiple of 4 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 + (486\/945)\/1 + -4.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8041613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7357450*f**2 - 16872753*f.\nAnswer: -14714900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 79. Suppose 3*n - n - 2 = 0. What is the units digit of p + (4 - 2) - n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1736 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -606*b**3 - 161*b**2 - b - 91*b**4 - 71*b - 499*b**2 - 56*b**4.\nAnswer: -3*b*(b + 2)**2*(49*b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/(-35))\/(6\/21))\/(60\/16).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 49*r**2. Let b(v) be the second derivative of 27*v + 0 + 0*v**2 + 0*v**3 + 1\/6*v**4. Calculate c(b(o)).\nAnswer: 196*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2302764, -2302697, -2302576, -2302395, -2302148?\nAnswer: -2301829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 565967.15 rounded to the nearest 10000?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5939 is divided by 978.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(3*q - 5*q + 3*q) - 3*q - q - q - 6*q + 4*q + 13*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 61*d - 331. Let k be n(55). Let i = 2\/3 - 13\/6. What is the third smallest value in -3\/4, i, k, -0.08?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2169 = -0*u + 4*u - m, -2711 = -5*u + m. Suppose -3*c + 4*c - 5*a = u, 2*c - 1019 = -3*a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59748942 a multiple of 1726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -7c?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*20\/(-15)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5671 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1486.441 rounded to the nearest 10?\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**8)*p*(((p\/p**(1\/4))\/p*p)\/p)\/p)**7 assuming p is positive.\nAnswer: p**(217\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 229, 460, 685, 904, 1117?\n\"Answer: -3*s**2 + 240*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18640 by -80.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*u + 2*j + 1, -2*u - 5*j = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by -2.\nAnswer: -161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424 or -98?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sttttssssssttssttstt?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -38. Let u(s) = 6*s + 49. Let f be u(y). What is the tens digit of f*1\/(-5) - 6968\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f**3 + 2*f**2 + 7*f + 3. What is a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1a63 (base 13) to base 11\nAnswer: -2a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -25. Suppose 0 = -4*i + 3*l - 6*l + 4, 3*i + 5*l + 8 = 0. Suppose -2*d + v = h - 73, i*d - 103 = -h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 50 + 34. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 879*l**2 - 4458*l - 3576.\nAnswer: 3*(l - 298)*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8110.238 - -14.238. Let h = 8095.2421 + b. What is h rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) -12 (c) -2\/495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17 + 114*p\/17 + 324\/17.\nAnswer: 2*(p + 3)*(p + 54)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6796131 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 37*k**2 - 134*k + 64. What is i(-11)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0*i**2 - i**2)*(-252 + 252 + 45*i)*(-5 + 5 - i).\nAnswer: 90*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009794 to 4 dps.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 181 = -5. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {m: 2, b: 1, v: 14}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 328, 1070, 2228, 3802, 5792, 8198, 11020?\n\"Answer: 208*s**2 + 118*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*j = -7*j - 6, -4*j + 6 = -2*b. Let c be (0 - b)\/(-84 - -85). Solve -5*q - 12 = c*m, q - 3*q - 2 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.009 (b) -2\/7 (c) 3.6404 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 145. Solve -3*g + 10 = y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 27 = 8*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - c + (2*c + 1 - 1)*(-1 - 2 + 2) + c + 0*c - 6*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45 - (-2)\/1)*(-31)\/31. Differentiate d - 70*a + 1 - 9 + 55 wrt a.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 29. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849856 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -1.05. Let o = i + 0.5. Sort 1, 0.2, o in ascending order.\nAnswer: o, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44b595 (base 12) in base 16?\nAnswer: 10c181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c7 (base 15) to base 4.\nAnswer: 1021033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187985 by -205.\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/25*(-130)\/3978*(-6)\/(-1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i - 20*i + 308 = -460 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21\/4 + -5. Let j = -160.8 + 136. Let y = j + 25. Which is the second smallest value? (a) t (b) -4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - c**3 - 2*c**3 + (-c + c + c**2)*(22*c + 97*c - 8*c) + c**3 + c**3 - 4*c**3.\nAnswer: 104*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -4. Let j(f) = 7 - g - 2 - f. Let a(n) = -2*n. Let r(p) = -3*a(p) + 7*j(p). Let o(v) = -6*v. What is o(r(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14522706 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 6*i - 59. What is the smallest common multiple of c(-11) and 16?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188.54 - 1.46. Let y = j + 190.00107. What is y rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 288893152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-4 + 8 - 8)) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1469 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 62290 to the nearest one hundred.\nAnswer: 62300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrqlrrl. What is prob of picking 2 l and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -130 divided by -829\nAnswer: 130\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**3 - 9*u**2 + 9*u - 6. Let t(p) = 7*p**3 + 11*p**2 - 9*p + 7. Give -7*r(x) - 6*t(x).\nAnswer: 7*x**3 - 3*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*v + 51*v**2 + 44*v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*x - 15 - 1, 4 = x - y. Solve -2*b + 8 = 2*n, b + x*n - n - 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11018 + 1?\nAnswer: -11017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.2 - -5.8. Let i = -1.8 + 4. Let h = -2.2 + i. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114306*x**5 - x**2 + 149963*x wrt x.\nAnswer: 2286120*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56681 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2 + 3*n - n + n + 4*n. Let t be l(2). Suppose 72 + t = 4*q. What is the smallest common multiple of 24 and q?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40937 divided by -13.\nAnswer: 3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 319765, -2\/3 in increasing order.\nAnswer: -2\/3, 59, 319765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2. Let v(n) = -2*n - 156. Determine d(v(b)).\nAnswer: 8*b**2 + 1248*b + 48672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 20*l**2 - 5 + 0 - 7*l**2 - 69*l + 27*l**2 as v*l**2 + c + u*l + p*l**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 3*k - 5*k - 5*k**4 - 1 + 2*k in the form t + s*k**3 + b*k**4 + m*k**2 + h*k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 14 = 2*s, -4*s + u = -0*u. Let l be -2*(-4 + s)*(-2)\/(-28). Factor 1\/7*w**2 + l*w + 2\/7.\nAnswer: (w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 64 = -2. What is the remainder when w is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8733 (base 12) in base 9?\nAnswer: -22353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**2 + 7*h**2 + 2*h + 5*h**2 - 13*h**2 + 2 in the form o + g*h + f*h**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(45) - sqrt(45)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09079 and 42067833.\nAnswer: 42067833.09079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, j: 1, b: 6, c: 8, v: 1}. What is prob of sequence ccy?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -21\/10, -4, 16?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -396.8997663 - -396.9. Round q to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 2, o: 3, d: 5, r: 1}. What is prob of sequence ddm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4301 + 98939\/23. Let v = 67\/69 + j. Factor 1\/3*k**3 + 2\/3 + v*k + 4\/3*k**2.\nAnswer: (k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6159663060.\nAnswer: 2, 3, 5, 37, 2774623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -157\/6. Let f = 778 + -774. Sort f, -3, i.\nAnswer: -3, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-4))\/((-832)\/9984) + 3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 17*s**3 + 1580*s**2 + 1886*s - 19. Let x(v) = v**3 - 16*v**2 - 1. Let z(u) = -2*w(u) + 38*x(u). What is i in z(i) = 0?\nAnswer: -1, 0, 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/3*(-2)\/(-4). What is the derivative of -t + 2 + 7*m**4 - 5*m**4 wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -82. Let q = 8.7 - 9. Sort 0.3, k, q, -0.1 in descending order.\nAnswer: 0.3, -0.1, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c + 1. Let i = 44 - 42. Give w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**5 - 68*h**2 + 1068*h - 174*h**6 + 67*h**2 - 16*h**5 wrt h.\nAnswer: -20880*h**3 - 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 16*b**3 - 16*b**3 + (2*b**2 - b**2 - 4*b**2)*(-4*b**3 + 2*b**3 + 3*b**3)*(2 - 2 - 1).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 9. Let i(d) = 2*d + 19. Let l(g) = -6*i(g) - 13*q(g). Let c be l(0). Sort c, -2, -4 in descending order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2030552055 - 5?\nAnswer: -2030552104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -6554030.\nAnswer: 9\/3277015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2 + 410*t + 3152 = 0. What is t?\nAnswer: -197, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904715973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*b**3 + 3*b + 1379 - 1379 - b.\nAnswer: 91*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 + 137508*b**2\/5 + 472766250*b + 1890625000.\nAnswer: 2*(b + 4)*(b + 34375)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 + 6*d - 14. Let z be j(-6). Let h = z - 57. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -80 + 4*f**3 - 3*f**3 + 79. Let n(z) = 2. What is -n(p) - 2*o(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f - 3598 = 196*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 99382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 10*p = 0. Solve -3*h + 25 = -4*k, p*k - 2*k - 5*h = -7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 10. Let z be l(10). Suppose -4*r + 13 = -k, k = 3*r - z*r - 11. Let h = k + 5. Solve 3*f + h*f - 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7030855 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2. Let w(u) = -55*u - 3. Give m(w(q)).\nAnswer: -3025*q**2 - 330*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -3*n**2\/2 - n + 4. Differentiate x(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/2*(-18 - -40). Let p = 794 + w. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from sjzzxzzlsxjzznz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1921971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4291*w - 5551*w - 2556*w to the form q + r*w and give r.\nAnswer: -12398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 + 214263*a + 1285542 = 0. Calculate a.\nAnswer: -214257, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -1)*(-165)\/(-30). Is (201\/(-2))\/(u\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19359513 divided by -123309?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126.77 - -1.77. Let x = o + 127. Let s be ((-8)\/(-9))\/(-4) - 0. Which is the second smallest value? (a) x (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + q + 14. Let v = -96 - -92. What is the units digit of m(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-1)*(-1)\/2. Suppose 0 = z*n + 2*v + 1, 2*v = n - 1 + 12. Does 19 divide (52 + 1)*(-2 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 850*r - 856*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 40 = -z. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/((-28)\/104)*18. Let u be ((-1)\/(-2))\/(18\/b). Suppose 0 = 5*d - 16 + 6. Solve d*h - u = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by 4\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 - 216*k + 9656 = 0. What is k?\nAnswer: -142, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58101 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2003\/4 - 2509\/5. Let f = -89\/110 + 1\/110. Let t = g - f. What is the second smallest value in 0.5, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 4*n**3 - 2*n + 16*n**2 - 13*n**2 - 4*n**2 in the form d*n**3 + z + g*n**2 + w*n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k**4 + 10*k - 10*k + (-5*k**3 + 0*k**3 + 4*k**3)*(k - 2*k + 0*k) + 0*k**3 - k**4 + 0*k**3 + (-21 + 5 - 8)*(1 - 1 + k**4).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -346, -1429, -3234, -5761, -9010, -12981, -17674?\n\"Answer: -361*w**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 + 92. Let a = 19785956401 + -19785956315.00000077. Let i = o + a. What is i rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451111 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 113. Let h = 138 + w. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 406*t**4 - 150 - 64*t + 292 - 141 - 54*t wrt t?\nAnswer: 4872*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 4*w**2 - 6*w**2 + 3*w**2 - 7*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u - 2037 + 2089. Let t be (3*3)\/((-6)\/(-4)). Solve -u - t = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 2*p + 2. Let t be w(-3). Let h(y) = -y - 6*y + 9*y - 2. Calculate h(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28791928.57 and -555.\nAnswer: 28791373.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1026.6 in -2\/3, 0.3, -0.37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 4\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 29. Let b(c) = -44*c. Determine g(b(f)).\nAnswer: 1936*f**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/((-3555)\/18))\/(1\/(-25)*-9).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.82 + 1.42. Let b = f - -5.16. What is b rounded to one dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3793282 + 3793282 + 13611*q)*(q**3 - 5*q**3 + 5*q**3)*(-3*q + q + q).\nAnswer: -13611*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-6))\/((-1)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -250 + -3?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1123.4 to the nearest ten.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.1, 0.1, 429, -1406 in increasing order.\nAnswer: -1406, -2\/7, -0.1, 0.1, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/23, -1\/4, 4\/9?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:34 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by 104.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/3)*n**(1\/3)\/n*(n\/n**2)\/(n\/n**(-5)) assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5796 or 5896?\nAnswer: 5796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 42, -33, -180, -423, -786, -1293?\nAnswer: -1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106213.91 - 105533. Let f = -681 + l. Sort -1\/4, -4\/5, f, -5 in descending order.\nAnswer: f, -1\/4, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, d: 2, e: 1, p: 3, q: 5}. What is prob of picking 2 q and 1 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 - 59782*r\/13 + 59780\/13.\nAnswer: 2*(r - 29890)*(r - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -0.87, -6\/47, 1 in decreasing order.\nAnswer: 11, 1, -6\/47, -0.87, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c**2 + 6686*c - 6686. What is x(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*m - 13 = m, -2*m = j + 9. Let l = 78.38 + -67.38. What is the smallest value in l, 1\/2, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (5 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 29 + 5 - (-2 - -1 - 5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50*(43 - 8379\/196)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5*6\/(-70))\/((-10)\/(-70)). Sort d, -59, -8, 4 in descending order.\nAnswer: 4, d, -8, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 13*d**2 - 15*d**2 + 12*d**2. Let c(v) = -38*v - 110. Let b(r) = 5*r + 15. Let a(m) = 22*b(m) + 3*c(m). Determine p(a(q)).\nAnswer: 160*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1112 divided by 3\nAnswer: -1112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let a(x) = z - 3 + 5 + 17*x. List the prime factors of a(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*sqrt(704)\/sqrt(4)*-5*2)*4.\nAnswer: -16 + 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u - 11. Determine z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -19. Let d = 10 - 9.2. Let r = 0.8 - d. What is the nearest to -2 in 4, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 = -2. Let j(i) = 2*i**2 + 1. Let x be j(1). Suppose s = a + x. Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 137 = -5*s, -4*s - 76 + 6 = 2*l. Let o = 43 + l. Let z be o\/(-75) - 394\/(-30). Calculate the greatest common divisor of 117 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-6)\/(-3)) + (-23)\/(-7). Sort -2.3, w, -5.\nAnswer: -5, -2.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15186398 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449901, -899788, -1349675, -1799562, -2249449, -2699336?\nAnswer: -3149223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3033 = h, 3*t - 2*t = -h + 609. Let b = -257 + t. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.4871 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i - 2. Let v(l) = -10*l - 1. Calculate 5*k(h) - 6*v(h).\nAnswer: 5*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x + 24. Let s = -4 + 6. Find the third derivative of x*k**2 - 3*k + 3*k + k**4 - 9*k**s wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(35\/14) - -4. What is u in u**3 + 1\/2*u**v + 0*u + 0 + 1\/2*u**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.063 + -4.063. Which is the nearest to 3? (a) 4 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/15)\/((-1)\/(-15)). Is 4 a factor of (v + (3 - 4))*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 11 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4006, 4009, 4012, 4015, 4018?\nAnswer: 4021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17963*i + 9342 = -17936*i. Solve 64*k = -26 + i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16480 is divided by 287?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 917, 7, -3.\nAnswer: -3, 7, 917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*2)\/sqrt(12))**2 + sqrt(33)\/(sqrt(15)\/sqrt(5)).\nAnswer: sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727388 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/766, 22\/3, -0.4, 4 in descending order.\nAnswer: 22\/3, 4, -5\/766, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 74233.48 millilitres in litres?\nAnswer: 74.23348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 38*t**2. Let n(w) = 39 - 4*w**2 - 9 - 30. Determine d(n(o)).\nAnswer: 608*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 364565?\nAnswer: 4010215","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/25*p**2 + 2\/25*p + 0.\nAnswer: 2*p*(p + 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 - 0.16. Let s = -3.9 - -4. Let q = 0 - s. Sort 0.2, q, i in descending order.\nAnswer: 0.2, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223445768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 18. Let o(d) = -6*d - 16. Let y(h) = -2*g(h) + 3*o(h). Let k be y(-5). Solve -5*l - 3 = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 2e?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24477.07 milligrams to tonnes.\nAnswer: 0.00002447707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 90 - -125 - 103.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = -19*b + 28*b. What is the highest common factor of 55 and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30045 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 2*k**2 + 10*k + 7. Let a(s) = -2*s**3 + 13*s + 8. Let x(o) = 3*a(o) - 4*t(o). Give x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.288 - -10.2. Let y = 0.188 + g. Let w = -4 - -3. Which is the nearest to w? (a) -0.3 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 8*g**2 + 17. Determine w(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1161, 2325, 3493, 4665, 5841, 7021?\n\"Answer: 2*h**2 + 1158*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 2*k. Let t = k + -4. Solve t*s - 9 = 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*d + 20 = -15, -5 = a + 2*d. Suppose -11 = -n - 4*p, -n - 4*p - 4 = -a*n. What is the highest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvm when four letters picked without replacement from {v: 8, m: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n + 19. Let t(m) = 4*m + 10. Let h(p) = 5*t(p) - 3*w(p). Let x be h(-3). Differentiate x*q - 478 - 21*q + 463 with respect to q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -82. Calculate the remainder when 227 is divided by x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4988 and 359136?\nAnswer: 359136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 55*y**3 - 50*y**2 = 0. Calculate y.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.31868 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + (sqrt(171)*-1 + sqrt(171))*6)*-4)\/(sqrt(9)*1*5*5))**2.\nAnswer: 304\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*v - 22, 36 = 4*u - 94*v + 90*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1 + 6*q**2 - q + 3*q**3 - 4*q**3 - q**2. Suppose 0*d = d - 9. Suppose 4 = -v + d. What is k(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231429 or 231263?\nAnswer: 231263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108101 is divided by 108090.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfq when three letters picked without replacement from {f: 2, q: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/4 - (-3)\/(12\/8). Let w(u) = -u**3 + u**2 + u + 10. What is w(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 4*s - 5. Let a(k) = -81*k**2 - 66*k + 81. Let z(d) = 2*a(d) + 33*j(d). Let n(c) = -4*c. Give z(n(o)).\nAnswer: 48*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (2 - 0))\/1. Let a(c) = c**2 - 2*c - 4. Let g be a(f). Solve -12 = -g*w - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*c**4 - 35*c + 4 wrt c?\nAnswer: -2592*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203568 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -728*o + 732*o - 268856, 5*g = -20. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3377 divided by -1.\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12970 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -90633754?\nAnswer: 90633768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(45) - (sqrt(40) - sqrt(10))\/sqrt(2)) + -4 + 4.\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4 less than -66.124?\nAnswer: -74.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + z + 5 = 0, -h + 24 = 4*z + 17. Solve -28*f = -25*f - 5*n - 37, -5*n - 13 = h*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 9*q**2 + 2*q - q**3 - 4*q. Calculate the remainder when (-4)\/8*-4*7 is divided by b(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a + 4 - 24 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:18 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -318 + 4?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 53*o - 52*o = -7, 0 = -3*o - 21 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -0.02?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 87*d + 416. Let b be p(38). Let o(t) = t**2 - 3*t + 2. Calculate o(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5 - 3. Let y = 1 + c. Let h = 21295 - 21296. Sort 0, h, y in increasing order.\nAnswer: h, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-25 + 28)) + 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.898 - -0.102. What is the biggest value in 0, -265, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21805 = 5*n + 2*k, 5*k = 3*n - 9367 - 3747. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(14\/3)\/l))\/(l*l**(3\/4)*l)*(l*l**(-8\/9)\/l)**(8\/9) assuming l is positive.\nAnswer: l**(-2011\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 2:03 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p)**(-1\/16)\/(p**(-2)*p)**(-2\/7)*(p**(-1\/4))**(2\/125)\/(p\/(p**(-2)\/p*p))**(2\/17) assuming p is positive.\nAnswer: p**(-167827\/238000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1 + 0*g + g**2 - g - 4*g**3 + 0*g. Let v be i(-1). Which is the nearest to -0.1? (a) -2\/5 (b) -4\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 7*q**3 + 18*q**3)*(-q + q + 2*q**2 + q).\nAnswer: 22*q**5 + 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -835\/3 + 8203\/30. Find the common denominator of 91\/6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4932 and 12756011.168.\nAnswer: 12756010.6748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26*(28\/8 - 2). Let y = 40 - m. Let s = -4307\/9 - -479. Is y != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318313172?\nAnswer: 2, 79578293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - 4*w**3 + w**3 + 2*w**3 + 5240*w**2 - 1601*w**5 + 5237*w**2 - w - 10476*w**2 + (0*w**4 - 3*w**4 + w**4)*(-2*w - w + w) - 4*w**5 + w**5 + 2*w**5.\nAnswer: -1601*w**5 - w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633*-6.\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**17)**(-49)*x*x*x*x*(x*x**(-1\/13))\/x*x**39\/x assuming x is positive.\nAnswer: x**(-10921\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 287005691 to the power of 1\/2, to the nearest integer?\nAnswer: 16941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 221.\nAnswer: 31\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 10711964?\nAnswer: -10711963.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 4*k - 3*k)*(-6023 - 9*k + 4*k + 79*k**3 + 6034) in the form q*k + n*k**2 + a*k**3 + v + m*k**4 and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*d, -4*d + 4 = -2*d. Let j(k) = 9*k - u*k - 7*k + 17. What is the remainder when 21 is divided by j(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38\/3 - 12. Let n = 2.32 - -0.28. Let c = n + -1.6. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -3 - (-4*sqrt(1100) + sqrt(1100))**2) + (0 + -1 + sqrt(44) + 5)**2.\nAnswer: -9843 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1960 + -1958. Let p = -6 + 6.8. Let y = 0.5 - p. Put 0, r, y in descending order.\nAnswer: r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**3\/3 - m**2 - 35. Calculate b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 1.33, 0, -216, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = -4*q - b, 5*b + 15 = 0. Suppose -26*m = -17*m - 18. Solve -m*r - q*r = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*i - i, 2*i = 2*b. Let g be b - ((1 - 0) + 1). Let y be 1 + 26\/(-8) - g. What is the biggest value in 0.3, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.1, 2\/5, 1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(-38)*(f\/f**(-2)*f*f)**(-34) assuming f is positive.\nAnswer: f**(-246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 24 + 2 = 0. Let c = -14 + n. Suppose 20*r - 5*w - 1 = 21*r, 0 = -4*w - 12. What is the least common multiple of r and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*q = -45, -2*q = 3*u + 2*u + 38. Let t be (14\/(-4))\/(u\/(-16)). Let v = t - -11. What is the smallest common multiple of 9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27970 is divided by 104?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 71 = -53 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-741)\/95)\/(6\/(-70)*469\/670).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 times 439938?\nAnswer: -239766210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.027932 + 38.9.\nAnswer: 44.927932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t. Let b(r) be the third derivative of 0*r + 0*r**4 + 10*r**2 + 0*r**3 + 1\/30*r**5 + 0. What is b(z(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -329.8 (b) -1 (c) 1\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*p - 20*p + 21. Which is the closest to p? (a) -2 (b) -0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17872, 35743, 53614?\n\"Answer: 17871*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/4 - -2 - (-47)\/(-188). Solve -18*g = -4*y - 17*g + 23, r*y - 21 = 2*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 15 = 3*q. Let f = -9 - q. Which is smaller: 2\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 - 125.8. Which is the second biggest value? (a) g (b) 6\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 - u. Let m be b(-1). Let f(z) = z + 5. Let d be f(-9). Let y be 42\/d*60\/(-10). What is the greatest common divisor of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -37. Is k equal to 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/3 + 766*u**4 - 60862*u**3\/3 + 93714*u**2 + 1751420*u\/3 - 658000 = 0. Calculate u.\nAnswer: -1175, -4, 1, 14, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/50)\/((-6)\/(2 + -5))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in -0.4, 6, 1\/2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + t**2\/2 + 4*t - 3. Let s be p(3). Let b = s + 0. Does b = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 458480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3566 + 3917. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {e: 1, f: 6, g: 3, d: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + j + 8. Let c be o(0). Suppose 0 = 2*n - 74 + c. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.21 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 - 27805*z**4 + 27810*z**3.\nAnswer: -5*z**3*(z - 1)*(z + 5562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -226, -782, -1708, -3004, -4670, -6706?\n\"Answer: -185*x**2 - x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 4. Suppose 54*a + 116 = -100. Let k(r) be the first derivative of 35*r**2\/2 - 21*r + 1. Give a*k(h) - 21*z(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1151 (b) 0.3 (c) -2\/15 (d) 113 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.521 - -1206224727?\nAnswer: 1206224726.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -111, -172, -243, -330, -439?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5 and 27\/27233513?\nAnswer: 136167565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5232326 is divided by 1163.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12418168 and -55\/10112.\nAnswer: 198690688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2742*s = -9560 - 22383 - 42091 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 17*a**2 + 36*a + 69. Let g be t(4). Solve -23*b = -21*b + g*r - 12, 5*b = 4*r - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 5243385694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -15, -71, -203, -441, -815?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/4 + v**3\/3 - 3*v**2. Find the first derivative of m(b) wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49636 is divided by 6200.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = i - 4, i = -m + 7. Find the third derivative of f**2 + 7*f**2 + 13*f**4 - 4*f**m wrt f.\nAnswer: 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -64, 230, 4, -6?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 649184.4l?\nAnswer: 649184400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128*m*n**3 - 418*m*n**2 - 2*n**3 + 34786*n - 3 wrt m?\nAnswer: 128*n**3 - 418*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 - d - 1. Let w(a) = -a**3 + 10*a**2 - 5*a - 5. Let y(x) = -5*o(x) + w(x). What is the third derivative of y(b) wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1455*t**2 + 1 - 1482*t**2 - 5 - 4.\nAnswer: -27*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/28)\/((-2)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -465\/28841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 6*v - 5. Suppose n - 5*n - 64 = 0. Let l = n + 9. Let q be a(l). Solve 0 = -q*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**(-3\/25)\/(n*n**(-3\/2)*(n**3*n)\/n))**(2\/17) assuming n is positive.\nAnswer: n**(-129\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5957?\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - g - 118 = 0, 0 = -5*f + 5*g - 0*g + 290. Let z be ((-2350)\/(-47))\/((-2)\/(-3)). What is the highest common divisor of z and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.005 + -0.005. Let p = -0.38 + 0.08. Which is the nearest to -0.3? (a) r (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.34611411 to the nearest integer.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**3 - 218*k**5 + 837*k + 4 - 4 - 193*k**5 + 365*k**5 wrt k.\nAnswer: -920*k**3 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.318010189 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Suppose 0 = -4*k - 4*f + 16, -d*k + 23 = -f - 21. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 14*t - 11. Let b be 13 + 1 + 3 + -4. Let j be o(b). Sort -4, j, 16 in descending order.\nAnswer: 16, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 - 84 = 0. Suppose -4*q + 25 = -l, 4*q + 5*l + 7 = 2. Suppose -q*b = -42 - 33. What is the highest common divisor of b and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1472, -1469, -1466, -1463?\n\"Answer: 3*z - 1475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 + 14719 - 14711 - b**2 - 5*b + 3*b**2 + 2*b**4 to the form a*b + l*b**4 + k*b**2 + s + n*b**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176367?\nAnswer: 3, 58789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23661\/7 or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {v: 2, x: 1, g: 4, f: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (24\/(-4) - -2). Solve -d - 2*d + 9 = l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9485942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 601776 and 521181.\nAnswer: 5373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3987, -3984, -3981, -3978?\n\"Answer: 3*s - 3990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p - 30. Suppose -25*s + 66 = -3*s. Give n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 37*t + 941 = -819 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17761*0.3686.\nAnswer: 0.065467046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99b - 48?\nAnswer: -a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 2732095?\nAnswer: 92891230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/60*q**6 + 7\/12*q**3 + 1\/8*q**5 + 0 - 3\/8*q**4 - 1\/2*q**2 + 3*q. Find o, given that j(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 - v**2 + 0*v**2)*(3*v - 4*v + 4*v)*(9*v - 3 + 3) to g + k*v**3 + j*v**4 + q*v + c*v**2 and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 76\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3753167 by -63613.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 3:35 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57511679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 532926*748\nAnswer: 398628648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.961 + -0.913. What is the second biggest value in -1\/3, -5, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-9)*(-27)\/12. Let p(q) = -4*q**2 - 2*q**2 - 9*q - 4*q**3 + z*q**3 + 2 - 2*q**2. What is the units digit of p(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d. Let m be ((-2)\/(-5))\/(70\/(-700)). Suppose -4 = -3*i + 5*i. Put d, m, i in increasing order.\nAnswer: m, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4929 and 20749881.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 596 - 601. What is the second smallest value in -11, k, 2\/17, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 113*w + 112.\nAnswer: (w + 1)*(w + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3144*y**3 - 790*y**3 - 790*y**3 - 788*y**3 - 789*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s - 8*s + 19*s**2 in the form v + u*s + d*s**2 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.045 + 0.04499937. What is l rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 95*p - 55. What is t(0)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 7*c + 11. Suppose 0 = -4*t - 4*b + 36, -6*t + 3*t + 24 = 2*b. Let i be m(t). Put -1, i, -3 in increasing order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3 + sqrt(304) + 2 - sqrt(304)) + sqrt(304) - (-2 + 2*sqrt(304))) + -1 + (sqrt(304) + -3)**2 + -5 + -3.\nAnswer: -28*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0469 at most -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*n + 60 = 88, 9*r + 2*n + 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2970 divided by 594?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6098276758 to the nearest integer?\nAnswer: 78091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -53637*r. Let b(v) = -2*v**2 + 34. What is l(b(p))?\nAnswer: 107274*p**2 - 1823658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5293 - 0.\nAnswer: 5293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - -5*((sqrt(95) + sqrt(95)*1 - sqrt(95)) + sqrt(95)) - (sqrt(95) - 2*(sqrt(95) + -2*sqrt(95) + sqrt(95))))\/((sqrt(20)*1)\/sqrt(4)*1).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 23*v**2 + 88*v + 1387. Let y be r(-12). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 0.8. What is the third smallest value in -0.2, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(1\/10)\/p)*p\/p**(2\/7)*p assuming p is positive.\nAnswer: p**(183\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 52. Is ((-9)\/d - 0)*165 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 14. Let y be 13\/l - 4\/(-10). Suppose -r - 2*w + 70 = r, 60 = 2*r - y*w. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 17*y + 132. Let c be m(22). Calculate the greatest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(3*i**4 + 0*i**4 - 2*i**4)*(-i + i - i).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 91640?\nAnswer: 91640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q**3 - 19*q**3 + 15 - 16.\nAnswer: 34*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -15, -29, -47, -69?\n\"Answer: -2*t**2 - 4*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319475 + 531688. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 6*s - 139 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:37 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:32 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*l + 2826 = -93*l. Round l to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:59 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*sqrt(684).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 174654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 + 12*c**2 - 3*c - 7. Let a(q) = q**3 - q**2 - q + 1. Let z(x) = 5*a(x) + n(x). Let o be z(-8). Put 0, o, 1 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 493 + -493 - 7\/(14\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 14 + -4 - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c - 12. Let m(j) = 15*j - 10. Let g(x) = -6*m(x) + 5*r(x). Let u = -335 - -347. Let o(d) = d. What is u*o(a) + g(a)?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-3 - 3) - ((-49 - -73) + -49)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 4)\/(1 + 1). Suppose n = -0*w - 4*w + 28. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/6 - 7*g\/6 - 1 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2774, 6231, -2 in ascending order.\nAnswer: -2774, -2, 6231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l + 75. Let h be 50\/15*18\/l. Let x be (-9)\/(-6) + 10\/h. Which is the third biggest value? (a) -2 (b) 1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 106.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 745 = -3*j, 5*j - 3*j - 2*b = 500. Let f be (2\/(-5))\/((-17)\/j). Suppose -155 = -f*i + 13. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n**2 + 1. Let h be r(1). Suppose -h*t = -10*t - 12. What are the prime factors of (-60)\/(1*(t - (1 - -3)))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*-4 - 3*sqrt(612).\nAnswer: -46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4 - 18*u**3 - 9*u**2 + 648*u - 1296 = 0. Calculate u.\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5950203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -165269989?\nAnswer: 165269988.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006974 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3865.4 - -0.0694502124.\nAnswer: -3865.3305497876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 515343319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 147977945711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-58))\/((5\/(-4))\/(420\/672))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 193 + 193.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**5 - 7683*t**4 - 30774*t**3 - 15402*t**2 + 30771*t + 23085 = 0.\nAnswer: -3, -1, 1, 2565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 2. Let q(x) = 3*x**2 - 85*x + 10. Give q(p) + 5*t(p).\nAnswer: -2*p**2 - 85*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11 = b, 2*s - 31 = 8*b - 3*b. Suppose 0 = -0*m + s*m - 6. Solve -4*t = -m*h - 4 - 2, 2*t + 2*h = -12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -4 + (0 + sqrt(80) - sqrt(80)) + sqrt(80))**2 + ((sqrt(1470) + sqrt(30))\/sqrt(6) + sqrt(5))*5.\nAnswer: -19*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202409.\nAnswer: 202409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + 2 + 0 + 267. Let o = 412 - y. What is the remainder when o is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) 10 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/9))**(-4\/25))**46*(c\/c**(2\/5))**(-5\/9)\/(c**(-2)\/c)**(1\/70) assuming c is positive.\nAnswer: c**(-6067\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -70228*u**2. Let g(z) = -213*z**2. What is g(p(i))?\nAnswer: -1050510032592*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, -1\/26, -3, -1\/2, 9 in descending order.\nAnswer: 9, 0, -1\/26, -2\/7, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**2 + 4*r**4 - 6*r**4 - 3*r**2)*(0*r - 2*r + r) + (-6*r**2 - 4*r**2 + 5*r**2)*(31*r**3 + 434 - 434).\nAnswer: -153*r**5 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57350 and 11840?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 34 = 3*y, 148 = -0*r - 5*r + 4*y. Let k be (-3 - -1) + r\/(-4). Is 9 a factor of (4 - 1)*(1 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/9, 5, 4.76?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-184))\/(16\/(-736)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*b - 8 = 0, 4*b = 3 - 19. Solve 35*n - 14*n + 84 = m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*t + 20 = 0, -l - t + 7 = -0. Let u be (8\/36)\/(l\/(-3)). Let k = -4 - -3. Is u smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 - 824900*u - 3 + 3 + 824900*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 817 + -681 - (10 - -111)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250292027 is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*y - 0*b + 10, -23 = 2*y + 3*b. Is (1 - y) + -8 + 3564 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3615*c**2 - 11 - c**4 - 3615*c**2 + 7*c**3 to the form p*c**4 + r + b*c**3 + g*c + u*c**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-14))\/(-25*16\/400)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100132 (base 4) in base 5?\nAnswer: -13204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10380 - 10209 = x. What is the highest common factor of 21 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371425 and 2573.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 + 21. Suppose 2*m + 2*m = q. Solve 0 = 4*o + m*i + 13, 5*i + 1 = o + 2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -776*c**3 - 6*c**2 + 1. Let j be p(-2). Let u = j - 2344. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4*h**3 - 241*d**3*h**3 + 541*h**3 with respect to d.\nAnswer: 8*d**3*h**3 - 723*d**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10445402 (base 6) in base 11?\nAnswer: 1a7561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 82, 132, 180, 226, 270, 312?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748.7 times -134?\nAnswer: -234325.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 173, 178, 185, 194?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1031 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*s + 33*s + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.2 + -12.2. Suppose 31 = 2*w + 5*o, -3*w + 8*w + 4*o = 35. Let j be 3*8\/(-36)*w. What is the second smallest value in x, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 272 + 207. Solve 0 = -4*n - f*p + 40, 3*p - 2 = -2*n + 5*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.0822 + -0.9178. What is the nearest to 2 in g, 0.4, 2\/29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:35 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584280212.\nAnswer: 2, 146070053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 72*g**2 + 400*g - 1056.\nAnswer: -4*(g - 22)*(g - 2)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 + 2) - (-47 - (1 + -10 + 14))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-10 - 0) + -13 + -12?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13 - 7 - 4*f**2 + 0*f**2 + 5*f. Let t(s) = -3*s - 15*s - s**2 + 19*s + 1. Calculate -o(v) + 5*t(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-117))\/((-6)\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Suppose 5*c = 2*m + 11, 2*m + 6 = r*c - 4. Suppose k - 6*z + z = 1, k = -z + c. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {u: 2, k: 4, f: 1, o: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuddduddtdtdggdgd. What is prob of sequence dtgg?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 55*t - 9. Let f(z) = -110*z + 16. What is -3*f(q) - 5*s(q)?\nAnswer: 55*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdvyqqddyxxpp. Give prob of picking 1 v and 1 p.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(200) - 3*(sqrt(200) + -1)))**2*-6 - (-2*(sqrt(200) + -3)**2 + sqrt(200) + (2 + sqrt(200) - sqrt(200)) + -3 + sqrt(200) + sqrt(200)))*-4.\nAnswer: -1320*sqrt(2) + 17620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5))**18 assuming m is positive.\nAnswer: m**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 50. Calculate the remainder when 32 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 + 5. Let b(q) = q**2. Let a(m) = -9*m**2 + 8. Let c(p) = a(p) - 2*b(p). Suppose 2*z - 5*z + 24 = 0. Calculate z*n(x) - 5*c(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -17 + 15 + 6 + -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 584.356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1)*2\/(-12). Which is the second biggest value? (a) g (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.018 - -10.982. Which is the biggest value? (a) 0.4 (b) z (c) -1\/5 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 880\/176*((-8)\/6)\/((-7)\/(-63))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155 - -153. Which is the biggest value? (a) -6\/7 (b) 0.5 (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.6 (b) 1.1 (c) 1\/5 (d) -0.04 (e) 2 (f) 1\/2 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, k: 1, c: 4}. What is prob of picking 4 j?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3681601734028 - 5.\nAnswer: 3681601734023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.07, -2\/199, -28?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5 - 36*p**4 + 30*p**3 + 36*p**2 - 33*p = 0.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*d**2 + 145*d**2 - 55*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/396938 and 47\/793876?\nAnswer: 793876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 8*h - 3*h + 30 = 24*v, 20 = -5*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 360 = 15*w. Suppose -w*g = 70 + 2. Let k(b) = b**3 + 7*b**2 - 9*b + 10. What is k(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66098 is divided by 160?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 16404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - h - 5. Let p(k) be the third derivative of k**5\/60 + k**3\/6 + 31*k**2 - 9*k. Calculate -g(o) - 3*p(o).\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 2, y: 4}. Give prob of sequence jyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 851144.8cm in millimeters?\nAnswer: 8511448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2546*v**4 - 2*v**3 - 7*v**2 - v + 11 wrt v?\nAnswer: 61104*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50656456 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g**2 + 1 - 39*g - 76*g**2 + 39*g**2 - 1.\nAnswer: -g**2 - 39*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*j + 63*j + 87216 = -567*j for j.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*x**2 - 4*x**2 - 2)*(3*x - x - x + (-1 - 2 + 0)*(-8*x - 2*x + 4*x) - 2 + x + 2)*(4*x + 0*x + 0*x).\nAnswer: -80*x**4 - 80*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 152477135 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + -5*sqrt(21)\/sqrt(3) - sqrt(21)\/(sqrt(432)*-2)))**2 + 1.\nAnswer: 119*sqrt(7)\/3 + 108919\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 442 = -129*r, 4*r + 3 = -3*m + 10*r - 39 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139304, 136130, 132956, 129782, 126608, 123434?\nAnswer: 120260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (-1 + (-14)\/4). Suppose f = 3*j + 16, -2*j + 0 = -s*f + 15. Calculate the greatest common factor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 4 (b) 3\/11 (c) -2 (d) 136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = -c + 194, 3*c = -3*x + 618. List the prime factors of c.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q - 3*q**3 + 1 + 5*q - 3*q. Let u be t(-1). Let g be (-3)\/10*(-3)\/(-9). Sort 1, g, u in increasing order.\nAnswer: g, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724245*p**3 - 29*p - 6776.\nAnswer: -4345470*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3797 or 0?\nAnswer: 2\/3797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1299*f**3 - 627*f**2 + 68729 - 68729 wrt f.\nAnswer: 7794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.932 + 0.9. Let c = 942.959 + -943. Let z = o + c. Round z to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (2 - 10 - (-16 - (-5 - (-9 - -12))))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11627.5 + 11627. Let k = 12.4 - 12. Which is the nearest to -13? (a) k (b) 0 (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -570 - -570.3. What is the nearest to 9\/10 in -3, -0.4, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 2*k**2 + 4*k + 1. Let x be b(3). Let v = 12 - -21. Solve 2*w + v = 5*c, c + 5*w = x*c - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.788097ml?\nAnswer: 0.003788097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-20079)\/15 - (-4)\/(-10). Let f be z\/(-6) + 3\/(-2) + 1. Is (f\/(-5))\/((-1)\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.29 in -623, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81, 172, 441, 732, 1051, 1404, 1797?\n\"Answer: y**3 + 2*y**2 + 240*y - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199104347?\nAnswer: 13, 15315719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n + 324 = -18*n. Solve 13*k - n*k = 3*y - 31, k = -5*y + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 14*x**2 + 11*x - 27. Is d(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.16 + 64.\nAnswer: 68.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*r = 16, 3*r = 14 - 2. Let b(d) be the first derivative of -1 - 1\/2*d**2 + f*d. Let n(t) = 3*t. What is n(b(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -5*p - 4*p. Determine z so that -55*z - p + 3*z**2 - 4*z**2 - 20*z**4 + 55*z**3 + 36*z**2 = 0.\nAnswer: -1, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10660 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7677 (base 11) to base 3\nAnswer: -111220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5896 = -21*s + 326 + 1653. Calculate the smallest common multiple of 18 and s.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m + 4*m - 2*m to the form g*m + u and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-2)\/sqrt(5))\/(sqrt(24)\/(sqrt(36)\/sqrt(3))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178879 and 2892141.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229160.\nAnswer: 2, 5, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 17. Sort o, -5, -1 in descending order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 - 27\/(-18)*8\/3. Calculate the greatest common factor of 168 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-50) + 4\/(-10). Let r be (-6)\/(-4)*(-24)\/(-18). Solve r*b - 3*b - 1 = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-100)\/(-7) + (-4)\/14 is divided by 1 + (-1)\/2*(-16)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*s = 179*s. Let o(b) be the second derivative of -1\/6*b**4 + 2*b + 0*b**2 - b**3 + s. What is the second derivative of o(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 3772725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/7)\/((-4)\/(-28)). Let y(d) = d - 2. Let k be y(j). Let p(u) = -44 + 44 - 2*u**k. Let z(f) = -4*f. Give z(p(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyoyoy. What is prob of picking 1 o and 2 y?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) -10 (c) 0.5 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17 = x - 19, 3*l - x = 34. Calculate the lowest common multiple of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 2*g - 6*g)*(-27 - 49 + 27) in the form f + m*g and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*34\/3145*((-400)\/(-128))\/5.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -97 + 28 - 11838*x + 11840*x. Let l(n) = 2*n. Give t(l(c)).\nAnswer: 4*c - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24957, 24927, 24831, 24633, 24297, 23787, 23067?\nAnswer: 22101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edsssesyee. What is prob of picking 1 s and 3 e?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33315 at most 299831\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 149603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2. Let g(s) be the third derivative of -947*s**4\/24 - 2*s**2 - 984. Determine g(f(r)).\nAnswer: 5682*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16308 and 86976.\nAnswer: 260928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181396 and 163620.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from yooyoo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 (base 8) in base 9?\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1496\/748*(-19)\/2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575398002 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 4 + 4)*(-4*g + g + 2*g)*(3*g + 2*g - 2*g)*(-2 + 2 + 3*g).\nAnswer: -18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (943288 + 70\/10). What is b rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*d - 291*d + 747 = 0. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.47 - -0.53. Which is the biggest value? (a) -0.2 (b) -1\/4 (c) -0.3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 8 = -11*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3208887317.\nAnswer: 487, 6589091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105.02 - -0.02. Let n be ((-2)\/10 + 2912\/960)*36\/408. Is a >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 543, 1278, 1999, 2700, 3375, 4018?\n\"Answer: -j**3 - j**2 + 745*j - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*v = -1 - 3, d = 2*v. Let j = -105 - -186. Let c = -65 + j. Solve 0 = -d*s - c, 4*s + 16 = 2*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -232 (b) -0.3 (c) -0.09 (d) -301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/50875 and 21\/3700.\nAnswer: 203500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let p be -3 + 234 + 3*10\/6. Let r = -235 + p. Sort 4, r, -9, b in descending order.\nAnswer: 4, r, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (65 - (-3 + 1)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.02 + -0.02. Let m = q - 0.7. Which is the second biggest value? (a) m (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -2, -9402 in ascending order.\nAnswer: -9402, -2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -29 - (-28 + -23)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 13. Let y be 2\/4 + 21\/j. Sort y, -2, 2.\nAnswer: -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 14 = 21. Suppose 0 = z - 4 + i. What is the units digit of z + 2\/6 - (-1672)\/114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 314719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 13 = 3*a, -o - a - 2*a - 11 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2227, -5041, -3, 2, 5, 1 in descending order.\nAnswer: 2227, 5, 2, 1, -3, -5041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12*v**2 - 1 - 3*v**2 - 10. Let p(y) = -380 + 758 - 379. Let n(w) = -4*w**2 - 6. Let t(l) = -2*n(l) + 6*p(l). Determine 6*j(k) + 11*t(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -48, 1, -5 in decreasing order.\nAnswer: 1, 0.5, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 29*w + 25*w)*(5*w**4 + 14*w**4 - 3*w**4)*(0 + 4 - 6).\nAnswer: -1792*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135001 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -87202?\nAnswer: 33\/87202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 9 = 10*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**5 + r**4 + r**2 - r. Let j(y) = -2*y**5 + 2*y**4 + 2*y**2 + 5*y. Let a(h) = -2*j(h) + 4*m(h). What is the second derivative of a(q) wrt q?\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 15. Let p(a) = a**2 - a + 1. Let k(l) = -d(l) + 3*p(l). What is the derivative of k(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3568519 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3)**(-10\/3)\/((b\/b**(6\/19))\/((b\/((b*b\/(b\/(b\/b**0)))\/b))\/b)))**(2\/91) assuming b is positive.\nAnswer: b**(-444\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + t + 1. Let k(v) = v**2 + 4*v - 3. Let s(u) = -k(u) + 4*q(u). Differentiate s(w) wrt w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*a = 233*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - (-5 + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 - 3*a - 18. What is the remainder when c(5) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 18\/5*n**5 + 3\/4*n**4 - n**3 + 0*n**2 + 0*n + 3. Factor a(d).\nAnswer: 3*d**2*(2*d + 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842167 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 4, l: 7}. What is prob of picking 3 v and 1 l?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -423*j - 14. What are the prime factors of g(-1)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190634 not equal to 190629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 757*r**2 + 9*r - 43. Let u(h) = -755*h**2 - 8*h + 36. Calculate -5*b(w) - 6*u(w).\nAnswer: 745*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 1742 = -15*z - 29*z - 482 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + (-220)\/(-33))*0\/1. Suppose 5*h = 5*z - 276999975, t*z - z = 3*h - 55400015. What is z rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*n + 79*n - 65. Let d be n*4*((-455)\/150 + 3). Let o = 0.9 + 3.1. Which is the nearest to d? (a) o (b) -1\/6 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:31 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24896 + 6001 = -9*x + 93182. List the prime factors of x.\nAnswer: 3, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -24*k**3 + k**2 + 3*k + 1. Let c be x(-1). Let d = -20 + 23. Let o be d\/15 + 102\/15. Solve -4*q = c - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23645040 to the nearest one hundred thousand.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 26?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*k = -14995 - 188159, 3*n - 203145 = -6*k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 6\/11, 45447 in increasing order.\nAnswer: 6\/11, 1, 4, 45447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-35))\/(752\/250 + 180\/(-60))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f + 16, -3*j + 4*f = 10. Solve j*m - 13 + 5 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55967.27 centimeters?\nAnswer: 0.5596727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 7*d**6\/10 - d**3\/6 - 22*d. Find the second derivative of b(a) wrt a.\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 299, 1286, 2931, 5234, 8195, 11814?\n\"Answer: 329*p**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6583)\/(-261) + -20 - (-4)\/(-18). Solve 0 - 22 = 3*c - 5*a, 3*c + y*a + 2 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6)*(-44 - -8). Let f(u) = -u**2 + 12*u + 2. Let l be f(r). Solve l*v + 2*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7165*n - 166*n**2 - 214*n**2 + 7161*n)*(5*n**3 + 0*n**3 + 0*n**3).\nAnswer: -1900*n**5 - 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629283?\nAnswer: 3, 47, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {h: 2, e: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 0.5. Let h be (5\/3 - -3)\/(30\/(-18)). What is the second smallest value in h, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1090.8737335.\nAnswer: -1090.7737335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.3, 5, 13, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 150 = z. Calculate the lowest common multiple of z and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5831584 is divided by 1143.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)\/(-1) + 6. Suppose 0*q - 2*q - 2 = 0, -3*p = -3*q + 6. Sort o, 1, p in descending order.\nAnswer: o, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 11*c - 9*c + 4*m, 0 = -c + 3*m - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 4*t**2 + 3. Let o(i) = -i**2 - i. Let p(f) = k(f) + o(f). Let b be p(-5). What is the highest common factor of 64 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/32*(-22)\/33.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(1568) + 2 + sqrt(1568)*1 - -3*(sqrt(1568) + -5 + sqrt(1568) + sqrt(1568) + 0 + sqrt(1568)).\nAnswer: -12 + 392*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 57, 82, 105, 126?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -17, -36, -47, -44, -21, 28?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 3) + 3274 - -1. Is (2\/1)\/(4\/r*4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 174577, 174576, 174577, 174580, 174585, 174592, 174601?\n\"Answer: f**2 - 4*f + 174580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91298, 91074, 90850, 90626, 90402, 90178?\n\"Answer: -224*a + 91522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20333.141*0.2.\nAnswer: -4066.6282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5749 + -5747. What is the highest common divisor of w and 729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 4 = 11*k. Suppose 2 + k = 3*q. Suppose -3*j + 0*c + q*c + 4 = 0, -4*c + 4 = -3*j. What is the third biggest value in j, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(8 - 9 + 8*k - 17*k).\nAnswer: -18*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12*-1)\/((-4)\/16)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1001011?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65*(4\/54 + (-11000)\/(-33750))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3\/2 - s**2\/2 - 131*s. Let b(j) = -j**2 - 19*j + 3. Let f(n) = -b(n) - 6*y(n). Determine f(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 0, 29, 35 in decreasing order.\nAnswer: 35, 29, 0, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.4506 litres to millilitres.\nAnswer: 24450.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvar when four letters picked without replacement from ravvvvnnvvvvvanv.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6297 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: What is the remainder when 4264 is divided by 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -9*g**5\/10 - 131*g**2\/2 + 130*g. Find the first derivative of c(n) wrt n.\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 496*w + 32\/3 + 644*w**3 - 3064\/3*w**2 - 388\/3*w**4 = 0.\nAnswer: -2\/97, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, j: 2, v: 2, i: 1}. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-1)\/(-2)). Find the common denominator of 18\/3 + (-2450)\/240 and (0 - -2)\/24 + p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let m(t) = -2*t**2 + t + 1. Let h(u) = u + 1. Let l(j) = 2*h(j) - 2*m(j). Give l(r(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 3 - 1)*(-2993*x + 16 + 2075*x - 17) as l + q*x and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s*s\/s**(-12)))\/s)\/s)\/s**11*((s*(s\/s**(1\/11)*s)\/s*s*s)\/s*s*s)\/(s*s\/(s*s*s\/(s\/(s**24\/s)))))**6 assuming s is positive.\nAnswer: s**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386307 and 7461.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 3*z + 15. Let v(p) be the third derivative of p**3 + 0*p - 1\/4*p**4 - 1\/20*p**z + 1\/120*p**6 + 0 - 3*p**2. Give v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j**2 + 4*j - 7. Let q(n) be the first derivative of n**3\/3 + n + 14. Let x(t) = -p(t) - 4*q(t). Find the second derivative of x(a) wrt a.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 952.8459l?\nAnswer: 952845.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 8701, 33, -4, -1 in descending order.\nAnswer: 8701, 33, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -222 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 22. Let v be r(0). Suppose 2*m - g - 43 = 0, -3*m + 2*g = -2*m - 14. Let l = m - v. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262 or -11310\/43?\nAnswer: -11310\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 879618 (c) 1154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1803 is divided by 446.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43954448?\nAnswer: 2, 19, 191, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 285 + 193\/2*r + 1\/2*r**2.\nAnswer: (r + 3)*(r + 190)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42335 is divided by 21085.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.3. Let x = -69\/77 + 5\/7. Let b(v) = 2*v**3 + 4*v**2 - 7*v - 3. Let n be b(-3). What is the closest to n in p, 0.4, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minus 365?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/12)\/((-3)\/9). Put -5, -2, c in decreasing order.\nAnswer: c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 48 = 0, 10*k - 8 = -2*o + 8*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4263363 to the nearest integer?\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 6*t**2 - 9*t - 5. Let x be i(-7). Let y = x + -15. Which is smaller: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 6. Suppose 5*o + 3*t = t + 101, 3*o - 4*t = 71. Let b be (-88)\/(-14) - 6\/o. Let z be f(b). Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*w - 5*w**2 - 128*w - 128*w + 385*w.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22401322013 + 3?\nAnswer: 22401322021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1 - 6*p**2 - p**3 + 2*p**3 - 5. Let c be o(6). Suppose -41*n + 42 + 40 = 0. Solve n + c = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -7.030115\nAnswer: 3.5150575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 842373\/26742*(-12)\/(-7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/165)\/((-402)\/(-737)).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/9)*y)\/y)**(7\/10))**(-4) assuming y is positive.\nAnswer: y**(-98\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0*h**2 - 1\/4*h**4 + 0*h**3 + 0 + 2*h. Let f(x) be the second derivative of -x**4\/12 - x. Determine f(s(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.300047 - -1.3. Round z to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:24 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491921911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0734 - -0.1034. What is the nearest to 0.1 in q, 0.5, 0.1, 47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 21*a - 19*a + 35 = 0, u + a + 33 = 0. Sort 3, u, -5, -4.\nAnswer: u, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/137 (b) 1\/14 (c) -11\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5149412*f**4 - 4*f**3 - 31158329*f?\nAnswer: 61792944*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 + 3*b**3)*(-4069 - 519 - 1372) + (-b - b + 0*b)*(2*b**2 + 3 - 3).\nAnswer: -17884*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7081 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - -2*sqrt(152))*-3)\/sqrt(8) - ((sqrt(19) - (sqrt(171) + 5)) + -5))*-1.\nAnswer: -10 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040116.5 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*v = -1033 + 16537. Is 76 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-129)\/4)\/(33*(-31)\/16677628) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*g + 12, -j + 5*g = j + 20. Suppose 0 = -5*t + q + 12, 2*q - q - 3 = 0. Suppose j = t*s + 2*s - 100. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 62. Let h(s) = -20*s + 18*s - 10*s - 122. Let r(t) = 4*h(t) + 9*w(t). Differentiate r(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 86*x**2 + 862*x + 22. Let i be w(-10). Let y(b) be the first derivative of 7 + 5\/3*b**3 - 30*b - 5\/2*b**i. Suppose y(k) = 0. Calculate k.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 79 - 2 = -8*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 438 - 5*f + 6*f - 439 + 138*f**4 as a*f + g*f**3 + o + j*f**4 + t*f**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25\/38 - 3\/19. Let i = 3 + 3. Let p = 2 - i. Which is the nearest to 0? (a) 1\/5 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 0.2, 9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/(-9) + 1 + (-16)\/72. Let x(z) = -9 + 2*z - 4*z + 3 + 4*z. Let f(w) = 3. Calculate c*x(b) - 6*f(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:32 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13668579 - 5256*g + 13668579 to the form l + j*g and give j.\nAnswer: -5256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:51 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1873 (base 9) to base 7\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srruruurysrrur. Give prob of sequence sru.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 24 + 3. Let u(z) = 223*z + 32159. What is the remainder when u(-144) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -634*w + 29. Let h be x(-1). Let j = h + -624. What is the greatest common factor of j and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 + c**2 + 4937 - 5746 - c**2 in the form n*c**2 + g + f*c**3 + r*c and give g.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 12*s - 4781. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 times -96902\nAnswer: 8527376","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 11346 + -11341. Let z be (-1)\/1*0 - -9. Solve 2*y = -u*d - 22, 0 = -y + d - 3*d - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-4 - -36) + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 937.95 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Suppose 14 = 5*c - 1. Let h(l) = 3 - l - c. Determine a(h(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - 14) + 18 - -127. Calculate the highest common factor of 1136 and z.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -320 - -329. What is the remainder when 142 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u + 11. Let y(p) be the first derivative of -3*p + 3 + p**2 + p**2 + 0*p - p. What is 3*n(h) + 8*y(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c - 5*t + 20 = 0, -3*t - 40 = -2*c. Suppose 0 = -4*m + c, -4*m = 2*o - 0*m + 82. Let d = 93 + o. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7237357.\nAnswer: 101, 131, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (4 + -9 - -3). Suppose -a*p = -2*b - 506, -3*p + 55 + 324 = -b. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3296369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19900 divided by 3980\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -944 by -586410.\nAnswer: 472\/293205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 23*t - 120. Let h be i(-10). Let u be 360\/(-63)*(-4)\/h. Factor 2\/7*x**3 + 10\/7*x**2 + 8\/7 + u*x.\nAnswer: 2*(x + 1)*(x + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 + y + 6. Let v be q(5). Suppose 0 = -3*h - 2*a - 78, 4*a - 36 = -9*h + v*h. Are -23 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11622 (base 10) to base 9\nAnswer: 16843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9688619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 715 and 208.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-2)\/3)\/2)\/(((-320)\/144)\/20). Solve 5*y - 9 = -d, 0 = -s*d + 2*y + 3*y + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 1, x: 4, q: 1, e: 1, y: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 8. Let k(r) = -3*r - 9. Let p(b) = 3*k(b) - 4*n(b). Let h(f) be the second derivative of -f**3\/6 + 2*f**2 - f. Calculate -7*h(x) + 6*p(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274241564*p**2 - 1288337173*p.\nAnswer: 548483128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 99*p + 1487. Let g be j(-15). Solve 3*q = 5*q + g*m + 2, -q + 4*m - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + (-2 + 1)*(1 + (18 - 32)). Solve 20 = -f*p + 5*d, -32*d = -2*p - 35*d + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + f. Is 16 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839.2 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8567.\nAnswer: 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*g + 416 = 0, -7*g = -2*c - 2*g - 411. Let d = 297 + c. What are the prime factors of d?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 3, e: 2}. Give prob of sequence je.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 0*d)*(3*d + 0*d - 4*d)*(1 + 3 - 2 - 2 - 3 - 6 - 2 + 6 - 3 + (-4 + 0 + 2)*(-5 + 1 + 2) + 1 - 3 + 3).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 - 596*s**2 + 478*s - 781. Calculate v(-120).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(-5 + 4*(3 + sqrt(1573))))**2.\nAnswer: 14520*sqrt(13) + 630289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.1163\nAnswer: 0.1163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 6*p - 7 = 5*w, 18 = -3*p - 4*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.892 and 0.042?\nAnswer: -0.121464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4646 + 4963. What is the remainder when 1002 is divided by m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324367 and 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_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: Calculate (-12610)\/291*(-1)\/(80\/96).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -280693*a**3*b**3*v - 173*a**3*b**2 - 7*a**2*b**3*v**2 + 2*a**2*b**2*v - 3*v**2 wrt b?\nAnswer: -1684158*a**3*v - 42*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-378)\/(-15)*720\/1728).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajtojojajttjjjttajj. What is prob of sequence jj?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312646808.\nAnswer: 2, 3463, 83477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149?\nAnswer: 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(50) + 4)**2 + (((sqrt(72)\/sqrt(3))\/sqrt(4))\/sqrt(3))**2)*3.\nAnswer: 600*sqrt(2) + 3804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -261\/1174 or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-9*k**2 + 0*k**2 + k**2).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 71\/4 of a tonne?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1051935 millilitres to litres.\nAnswer: 0.0001051935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16175 = -5*t - 8101 - 8184 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6727\/118 or -56?\nAnswer: -6727\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 256 = -3*h - 252 + 511, 2 = -2*h for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8488?\nAnswer: -3\/8488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 9. Let b be n(11). Solve 2*x - 10 = y + b*y, -14 = -2*x + 4*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5716829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3690718 from 5.\nAnswer: -3690713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, t: 1, w: 4, b: 1, o: 8}. Give prob of picking 3 o and 1 l.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 + 3202*m - 1602 = 0.\nAnswer: -801, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01609374 minus 1309577?\nAnswer: -1309576.98390626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 9) + (9 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00092014 to 6 dps.\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1624265*b**3 + 9*b - 4587 wrt b.\nAnswer: 9745590*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4740, -9477, -14214, -18951, -23688?\nAnswer: -28425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111373 + -111367. Suppose 2*j = -3*r - 43, -4*r = -2*j - j + 29. Let w = 15 + r. Solve -10*g + q*g - w = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 59850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 181465.\nAnswer: 3\/181465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8)\/w*w)**(-12\/13) assuming w is positive.\nAnswer: w**(9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 8668606*v\/7 - 17337220\/7.\nAnswer: 2*(v - 4334305)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 6\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10*f. Suppose -4*s - 1 - 7 = f. Let g be 4 - 5 - 6\/s. Solve -g*u + 13 = 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xivx when four letters picked without replacement from xpiipixipiixxixivx?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 852, 3311, 7408, 13149, 20540?\n\"Answer: q**3 + 813*q**2 + 13*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - f**3 + 2*f**3 + 2 - 2*f**3 - 2 + (2*f - 5*f + 7*f)*(-2*f**2 + 6*f**2 - f**2).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*n**2 - 273*l**3*p*z - 3*l**3*p + l**2*n**2*z - l*n**2*p*z + n**2*p*z + 49*p*z wrt l?\nAnswer: 12*n**2 - 1638*p*z - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 137318\/990 + 8\/(-40) - (-60)\/270. Which is the smallest value? (a) -4 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -177*v**5\/20 - 4*v**3\/3 + 4759*v**2 + 3619*v. Differentiate y(n) with respect to n.\nAnswer: -531*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-7)\/(-3)) + (-81158)\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -105331, -105341, -105351?\n\"Answer: -10*i - 105321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1568 and 62622?\nAnswer: 1001952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23.359 or 19?\nAnswer: -23.359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 10 + 5. Let h(f) = 2*f**3 - 4*f**2 - 5. Is h(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 640.999949444 - 641. Round c to 6 decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80.5 + 81.4. Which is the third biggest value? (a) -0.12 (b) z (c) -0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 43*b**2 + 42*b - 18. What is c(42)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**3 - n**2 + n - 1. Determine m(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16592661858 to 4 decimal places.\nAnswer: -0.1659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 256*z - 7641 = 0 for z.\nAnswer: -27, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*sqrt(55)\/sqrt(5))**2 + (sqrt(99) + 0)*-3.\nAnswer: -9*sqrt(11) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((1 - -3) + -6 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241951 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/30*16\/84?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.1345 and -17591502.8.\nAnswer: -17591514.9345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**4\/8 - n**3\/2 + 2*n**2. Let i be r(2). Suppose v - u = 15, -i*u + 5 = 3*v + 2*u. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -266 + 288. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -52e?\nAnswer: -52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-5) - 12\/15. Suppose -4*i + x*g = 2*g - 124, 153 = 5*i + 2*g. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = 15*b - 220 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 9) to base 4.\nAnswer: -2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.509 centimeters in meters?\nAnswer: 1.14509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*a**2 + 4 + 26 + 11 - 8 + 26*a**2 to m + u*a**2 + b*a and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 7*z**2 + 4*z + 6. Let c be k(6). Suppose 5*s = -s + c. Calculate the smallest common multiple of 8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 1658128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 2*g**2 + 3*g**2 + 6*g + 3. Let r be w(-7). Suppose -r*p = -7*p + 248. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220111 (base 3) to base 7\nAnswer: -1633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-4)*z*z)*z)**50*z**(5\/6)*(z\/(z\/(z*z*z**(1\/4))))\/z)**(2\/27) assuming z is positive.\nAnswer: z**(1825\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 139360?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -62. Let b be 77\/y + (-4)\/30. Suppose 8*u - b*u = 10977. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-19)\/(-21))\/((-10)\/45). Sort 4, -2\/7, 3\/2, f in decreasing order.\nAnswer: 4, 3\/2, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49143, 49150, 49157, 49164, 49171, 49178?\n\"Answer: 7*z + 49136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009922293 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let s(q) = -5*q - 20. Let b(f) = 6*a(f) - s(f). What is the remainder when 20 is divided by b(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589388613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -4 - 1 - (-13 + (-10 - -25))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c = 0. Let t(u) = 24*u**2 + 13*u - 8. Let g(d) = 13*d**2 + 7*d - 4. Let b(s) = -11*g(s) + 6*t(s). What is b(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 50*p**3 + 3*p**2 - 4*p - 7. Let a(b) = 50*b**3 + 2*b**2 - 3*b - 6. Let q(y) = 3*a(y) - 2*w(y). What is the second derivative of q(t) wrt t?\nAnswer: 300*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 4*i + 668, -2*w - 684 = 4*i. Let m = 1044 + w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(190)*-5 - (sqrt(190) - (sqrt(190) + (sqrt(190) - -3*-3*sqrt(190)) - sqrt(190))))\/(-2*(sqrt(250) + (sqrt(250) - sqrt(250)*-1) - -2*sqrt(1440))).\nAnswer: 19*sqrt(19)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -5*r. Let b be (4 - (2 - r))*211. Suppose -633 = -3*w - 2*x, -5*w - 2*x + b = -x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyyx when four letters picked without replacement from xyyxxxxuyxxyyxyxxxy.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*l - 36 = -2*l, 0 = -4*o + 4*l + 12. Calculate the remainder when 14 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - a**2 - 3*a - 2 + 6*a**2 + a + 11*a**2. Let l(t) = -t**2 + t. Calculate 3*l(b) + m(b).\nAnswer: 13*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -61972\nAnswer: 3\/61972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 24*m**2 + 767*m**5 - 3 - 755*m**5 + m**3 wrt m.\nAnswer: 720*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from xfxexrgx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 + -6.82. Let p = -5 - v. Which is the nearest to p? (a) -0.5 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 50*y + 3. Let s(b) = 10*b**2 - 51*b + 4. Let w(u) = 4*a(u) - 3*s(u). Let q(n) = -2*n. Give q(w(d)).\nAnswer: 4*d**2 + 94*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) + -5*-2*sqrt(198))\/((sqrt(8) - ((sqrt(200)*2 - sqrt(200)) + sqrt(200)))\/sqrt(4)).\nAnswer: -11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11296)\/1059*54\/(-72).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 89158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 120780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.35469 years to millennia.\nAnswer: 0.03935469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s - 1\/6*s**3 + 3*s**2 + 0. Let z = -95 - -98. Determine p(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*w + 6*w. Let l = w - -10. What is the remainder when ((-6)\/(-4))\/((-3)\/(-10)) is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.0157 - 0.0157. Which is the biggest value? (a) 3\/7 (b) -6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448679115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -21548610 to the nearest 100000.\nAnswer: -21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 14. Let c be k(9). Suppose -75 = -5*u + 4*z, -u - 5*z - 9 = c. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.285 + -0.385. Which is the closest to 0.6? (a) -0.2 (b) 4 (c) 40 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/102 and -79\/1124388?\nAnswer: 19114596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*i - 2 = -2*j, 0 = -j + 3*i + 2. Suppose 3*x = -2*o + 2 + 32, 0 = -3*x - o + 38. Solve j*k = 5*u + 9 + 15, -x = -5*k + u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 121841623049378\/(-22280347176780) + 2\/(-7). Let r = 1240\/46821223 - d. Let y = -14\/1133 - r. What is the common denominator of 19\/27 and y?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -0.06 (c) 2\/9 (d) 3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1431, -1728, -2215, -2886, -3735, -4756, -5943?\n\"Answer: j**3 - 101*j**2 - j - 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 500*r - 2600.\nAnswer: 4*(r - 5)*(r + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {u: 3, w: 3, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -46*g**4 + 4*g**3 + 577*g - 8. Let c(t) = -46*t**4 + 3*t**3 + 578*t - 6. Let f(j) = -4*c(j) + 3*m(j). Find the second derivative of f(u) wrt u.\nAnswer: 552*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(171) + 3*-2*sqrt(171) + 6*sqrt(171)*-2)\/((2*sqrt(90)*1)\/sqrt(10))*-2)**2.\nAnswer: 5496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53, 158, 313, 524, 797, 1138?\n\"Answer: i**3 + 19*i**2 + 41*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01364 + -1.01364. What is the third smallest value in -0.4, x, 0, -212?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:44 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53863259*k**3 + 2769*k**5 - 53863259*k**3 + 6455*k**2 + 1008*k**5 wrt k.\nAnswer: 226620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f + 5*i, 2*i + 0*i = -4*f - 2. Let s = 2715 + -29831\/11. What is the common denominator of f + (-8)\/11 - 1 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937963575 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/16 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1706 - -1703. Which is the closest to 0.1? (a) q (b) -5 (c) -0.38 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19372009 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-4) - 3\/6. Let n be 5\/3 + p\/(-6). Let q be 2*(1 - n - -11). What is the highest common divisor of q and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12646592*m**3*q**3 - m**3*q + 3193*m*q**2 - 405*m wrt q.\nAnswer: -75879552*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2017467 - -4?\nAnswer: 2017473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -25794.45\nAnswer: -77383.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24645613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 27*z**2 - 42*z + 2. Determine a(24).\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -322?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(4) + -1)*-4)**2.\nAnswer: -32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3537 * -6442\nAnswer: -2278.5354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 2 - 5\/(-2). Let t be (-8)\/12*1\/2. What is the nearest to -0.1 in 4, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2232495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/5, -1\/3, 2\/3, 0.1 in descending order.\nAnswer: 2\/3, 2\/9, 1\/5, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 8*z**2 + 7*z - 9. Let r be h(7). Let a = 31 - r. What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112079696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46529271 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + s = -5, 19*y + 5*s + 16 = 23*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 1\/6*o**3 + 0*o**4 + 0*o + 23*o**2 + 0 - 1\/120*o**6 + 1\/60*o**5. What is k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 = -2*h + 6*h, 0 = -5*h + 2*y - 5. Let q(n) = -n**2 + 3*n + 5. Let i be q(4). Let u = -177 - -181. Put i, h, u in ascending order.\nAnswer: h, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05867 + -2.94133. Is 228 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133855 is divided by 109.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8458 is divided by 161?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.98 + -0.02. Let o be (-5)\/7 + (-2)\/7. Let u be (-1)\/((o - -2)\/2). Which is the closest to 1\/2? (a) u (b) v (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c + 2*c**2)*(-3 - 938*c - 2*c**2 + 938*c).\nAnswer: -4*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 46*f - 26. Let m(n) = 4*n**2 + 45*n - 27. Let l(y) = 2*g(y) - 3*m(y). Let o be l(-22). Which is greater: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/243, 0.3, 4 in increasing order.\nAnswer: -14\/243, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7435 and 2250.7?\nAnswer: -16733954.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a + 1. Let n be g(-3). Let i = 190 - 379\/2. Put i, n, -4, -0.4 in decreasing order.\nAnswer: i, -0.4, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18695285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041.311998 rounded to the nearest integer?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 1, k: 1, e: 1, l: 2, d: 1}. What is prob of picking 1 u and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 1275. Let k(s) = 2*s**2. What is u(k(g))?\nAnswer: -4*g**2 + 1275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*b**3\/2 + 65*b**2 + 186*b - 36.\nAnswer: (b + 6)**2*(11*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8734588 and 7304.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27 (b) -7 (c) -5\/3 (d) -1 (e) 2\/11 (f) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 1. Let c(v) = -v**3 + 3*v**2 - v + 28. Let j(q) = c(q) + 3*s(q). Let n be j(0). Solve 3*m + 4*x + 11 = 0, 0 = 8*x - 3*x + n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43520?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -7. Let y = 10 + l. Let w = y + -5. What is the second biggest value in w, 1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 2. Let i = -2 + 2. Let c be i\/(2 - (-3)\/(-3)). Solve q + 2 = c, q - d = -3*y - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3347, -3262, -3177, -3092?\nAnswer: -3007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 + 6*z**2 + 6*z. Let u(w) = w**2. Let o(b) = s(b) - 6*u(b). Find the second derivative of o(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -815 - -272964. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-1) + 0 - 3150\/(-14).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*s + 11813 + 11509 = -730 + 4305 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -1, 10, -2\/11, 0.038?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/40540 and -63\/40?\nAnswer: 81080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m + 8 = 0. Let r(j) be the first derivative of 76*j - 2*j**2 - 65*j + 0 - m. Differentiate r(x) with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -10\/863, 5, -2\/5.\nAnswer: -2\/5, -2\/13, -10\/863, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 0)*(-d**5 + d**5 - d**5) + (-d + 5*d + 0*d)*(d**4 + 0*d**4 - 2*d**4) + (2 - 3 - 1)*(-3*d**5 + d**5 + 3*d**5) + 4*d**5 + d**3 - d**3.\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3007, -6014, -9021, -12028, -15035, -18042?\nAnswer: -21049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (8 + (-5 - -4) - (4 + -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*((-21)\/(-9))\/(-7). Suppose -26*q + 18*q + 8 = 0. Let i = -11 - -18. Solve -r = -h - i, -x + q = -r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -7. Let w be 140\/16 - k\/8. Let v = w + -4. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154.1 - 154.26. Which is the closest to -1? (a) -0.3 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 4*o - 2*o + 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1080?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720 + 1510 - 4*y**2 - 790 + 3*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/104)\/(10\/(-8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 68*i - 627. Let w be b(-57). Let k(r) be the first derivative of w*r + 19 - 3\/2*r**2. Determine k(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + 6711\/(-1512) - 9\/(-24) and 43\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 41 - (3 + -2 + 18 + -30)) + 5.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 p when three letters picked without replacement from dpwpdddppdndppdppw?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244\/(10 + -7 + -2).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 18 + 75 - 21 + 2*a + 3798*a**2 - 17.\nAnswer: 3798*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*b - 14519985 = -4*v, -3*b = 15. What is v rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419 is divided by 142?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/9 + 206*k**3\/9 + 4462*k**2\/9 - 206*k\/9 - 496 = 0.\nAnswer: -72, -31, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from wyybbybw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 36. Let o(d) = -2*d - 90. Let p = -59 - -47. Let t(h) = p*y(h) + 5*o(h). Let n be t(9). Solve n*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80088750 divided by 75?\nAnswer: 1067850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 3*u**2 + 2*u + 2. Let l(c) = 5*c**3 - 6*c + 32. Let w(b) = -3*g(b) + l(b). Determine w(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 66177.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 558432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5803\/44 - -525\/4. Let r = 23\/88 + s. Let z = -157\/835 + -2\/167. What is the second smallest value in -2\/9, r, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.84665 rounded to the nearest ten?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 936.16346656 + 0.02013344. Let q = 936 - h. Round q to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*l = 101, -4*l - 168 = -5*g + 9. Let h = g + 53. Calculate the smallest common multiple of 4 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i + 0*i**3 + 100*i**2 - 103*i**2 + i**3 + 0*i**3 to the form x*i**3 + y*i**2 + t + a*i and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 685005, 2740038, 6165097, 10960182, 17125293, 24660430?\n\"Answer: 685013*j**2 - 6*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39153652 to the nearest integer?\nAnswer: 6257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 2*i**2 + 2*i - 7. Suppose 0 = 64*k + 67*k. What is n(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**2. Let b(t) be the second derivative of -t**5\/20 - t**4\/12 + t**2 - 5*t. Let p be b(0). Let c(m) = 6*m - 2*m - 3*m**p - 4*m. Determine c(w(d)).\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-5)\/10*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 8*m - 7*m - 18*m. Let w(n) = 3*n. Calculate d(w(t)).\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-3 + (-105)\/(-45)). Which is smaller: 3541 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 15*g = -615. What is the highest common factor of 41 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*x + 81 = 0, 5*k - 3*x - 218 = -0*k. Suppose 0 = -4*u + l - k + 218, -5*u + 3*l + 224 = 0. Is u a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-2)\/(-6)) + (-440)\/12. Let m be (-6722)\/d + -5 - 4\/(-38). Calculate the greatest common divisor of 43 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 8. Is -3\/13 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133161192 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12139032 and 270093462?\nAnswer: 1080373848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2425824 and 121\/77626368?\nAnswer: 77626368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 16716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 5*d**2 + 7. Let z(u) be the first derivative of -8*u + 2 + 2*u**3 + 0*u**2 - 1\/2*u**4. Calculate -6*j(s) - 5*z(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3010824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 80*t - 477. Let u be g(6). Let c(p) = 4*p**2 - p - 10. Give c(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-450)\/475)\/18)\/(3\/9).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (635\/5334*36)\/(4\/(-42))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90770 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2266131 and 44\/268863.\nAnswer: 15862917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 25 = -4*k, -10*t + 3*k = -14*t + 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/112)\/(18\/(-288)*3).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24883 + 52551. List the prime factors of j.\nAnswer: 2, 7, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3687157151.\nAnswer: 59, 223, 280243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2 + 20. Let l(h) = -h**2 - h + 3. Let j = 0 - 0. Let y be l(j). Solve -y*w = -m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67003509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 1 - 7)*(21 - 14*i - 21) to the form t*i + r and give t.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b - 5152 = -113*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37643384 and -0.5?\nAnswer: 18821692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236637 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 23*h**3 - 18.\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -17.5. Put 6, -2\/13, p in descending order.\nAnswer: 6, p, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -226? (a) -0.1 (b) 1 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15009853 to the power of 1\/2, to the nearest integer?\nAnswer: 3874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -0.2, -3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2 + 5 + 90*g - 2. Let c be z(6). Suppose -2*p + 2*s + 218 = 0, 4*p + p - c = -s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558379 (base 11) in base 2?\nAnswer: 1010001001101011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 13*h**2 + h - 14. Let l(y) = -2*y**3 + 3*y + 3. Let j be l(-2). Let p be s(j). Let o be 3*p + 138\/42. Which is smaller: o or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093106693 to six dps.\nAnswer: -0.000931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 16\/(-4))\/(-1). Suppose 3*z + h = 0, 5*y - 2*z - 41 = -z. Let a = 13 - y. Let f(q) = q + 6. Determine f(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -721298 divided by 58.\nAnswer: -360649\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 2*w + 16*a - 24, 9 = w - a. Suppose 9*l + 356 = w*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -18. Let f(g) be the first derivative of -1\/14*g**4 + 1 - 2\/35*g**5 + 0*g**3 + m*g + 0*g**2. Factor f(w).\nAnswer: -2*w**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 1)*(-4*t + 2*t + 4*t) - t - 5*t - 7*t)*(0 + 4 - 2)*(7*t + 4*t + 2*t).\nAnswer: -442*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 7*z - z**2 + 8*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3440 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -236735700, -236735694, -236735688, -236735682, -236735676, -236735670?\n\"Answer: 6*t - 236735706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -2, -12 in descending order.\nAnswer: 5, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.182 (b) 5\/4 (c) 123 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, i: 4, s: 3}. Give prob of picking 2 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*((sqrt(1216) + 0 + -5)**2 - sqrt(1216)) - (4 + (-1*sqrt(2299))**2 + sqrt(38)\/sqrt(2) + -2)).\nAnswer: -4780 + 175*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4290945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(3\/7)\/h)\/h**(-4)*(h**0)**(-21)*(h**(-11)*(h\/(h**(-2\/3)\/h))\/h)**(-2\/75) assuming h is positive.\nAnswer: h**(8942\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-276)\/15)\/(2\/4). Let s = x - -36. Which is the biggest value? (a) s (b) -4\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7915\/4 - (-6)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2088\/7 + 21*o**4 + 1293*o**3 + 30714\/7*o**2 + 15348\/7*o = 0.\nAnswer: -58, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 1:51 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.6, -2, -63\/2, 1.1 in descending order.\nAnswer: 1.1, -2, -15.6, -63\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + p + 1)*(911 + 64*p**2 - 911) to the form t + z*p + u*p**2 + r*p**3 and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 4:09 PM?\nAnswer: 494","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2463488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126326894 and 677356?\nAnswer: 252653788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (781 - 766) + (0 - -1) + 22.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4 + 2564532*a**3 + 1644203530222*a**2 - 3288414754044*a + 1644208659289 = 0?\nAnswer: -1282267, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6906 + 2.4906. What is the closest to -7\/6 in u, 0.07, -2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 3*g - 5. Suppose 3*m = -2*m + 20. Suppose r = -m*r + 25. What is the lowest common multiple of r and w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -4. Suppose 3*p + t - 15 = 0, -5*r + p = -382. Suppose 63 = 3*g + 3*u, -2*u + r = 5*g - 4*u. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(4*n + 2*n - 5*n)*(35 - 23 + 24)*(2 - 2 - 2).\nAnswer: 144*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -3*(sqrt(847) + sqrt(847) + -2) - 4*(sqrt(847) - sqrt(847)*2).\nAnswer: -11*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/55 - -2\/11. What is the closest to b in 2\/11, 2, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55\/23, -2, 638, 0 in descending order.\nAnswer: 638, 0, -2, -55\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7083*q = 254189 - 15871 + 252977 + 174507 for q.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 11. Suppose 4*p + 24 = 8*p. Let y be c(p). What is the third derivative of 26*i**2 + 4*i**y + 4*i**5 - 23*i**2 wrt i?\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2)**2 + sqrt(19) + -2 + -2*(sqrt(304))**2.\nAnswer: -587 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.460496 rounded to 0 dps?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 5*s - 46350. Suppose 0*i - s = -2*i. Suppose -4*w + 3*w + 1170 = -n, 4*w + 5*n - i = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w, 10 = 2*p - 4*w. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 9923 - 956. What is the greatest common divisor of r and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/9 + 56*k**2\/9 - 146*k\/3 + 96 = 0.\nAnswer: 3, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839 plus 134?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13395771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Suppose -2*z + 3*z - 13 = u. Find the second derivative of -3*t + 13*t**4 + z*t - 14*t**4 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4072899691?\nAnswer: 7, 31, 3019, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32332063 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10875048 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**5\/10 - h**4\/3 - h**3\/3 - 3*h**2\/2 + 3. Let y(i) be the second derivative of d(i). What is r in y(r) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16176, -16246, -16378, -16572, -16828?\nAnswer: -17146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169965132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -36. Let j(h) be the third derivative of h**5\/60 + h**4\/12 - 2*h**3\/3 + 92*h**2. Let m(a) = a - 3. Calculate k*j(d) + 4*m(d).\nAnswer: -3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 - 25760*g**2 - 6995844*g = 0. What is g?\nAnswer: -261, 0, 6701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y, -2*y + y - 92 = -5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let y(u) = 4*u**2 + 3*u**2 - 2*u**2 + 3. Let k(v) = 6*v**2 + 4. Let s(j) = 3*k(j) - 4*y(j). Calculate s(t(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -24*g**2. Let o(t) = 23*t**2. Calculate 4*b(r) + 5*o(r).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:51 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*l = -16, -4*f = -4*l + 7 - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 12 = -12*m. Suppose -1 = -g, 5*i + g - m*g - 375 = 0. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -45) + -46 - -63?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.3 and 1.8.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 4*m + (-4 + 2 + 0)*(-1 + 1 + 2*m) + (-7*m + 3*m - 4*m)*(10 - 9 - 21).\nAnswer: 152*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1. Let s = -0.8 + 3.8. Let w = -15.1 - -14.7. What is the smallest value in s, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001 (base 2) to base 3\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1326*z + 1321*z + 40 = 0, -4*z = -2*l - 18. Sort -5, l, -4, -0.4, 0.2 in descending order.\nAnswer: 0.2, -0.4, -4, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/25, -3\/5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 + l**2 - 4*l**2)*(-l + l**2 + l + l**2 + 4 - 4 + (3*l**2 - 7*l**2 + 2*l**2)*(-2 - 1 + 2) - 4*l**2 - l**2 + 3*l**2 - 2*l**2 + 0*l**2 + 3*l**2).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 35 (c) -0.4 (d) -10\/181 (e) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {n: 1, l: 1, v: 4, y: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 2, m: 5, t: 1}. What is prob of picking 1 u and 1 m?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 635138615 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11760 by 5880.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = a - 3*b - 16, 3*b = -2*a + 28. Suppose 0 = 3*y - 0*y - 3. Let r be ((-4)\/(-12))\/(y\/15). Calculate the greatest common factor of r and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.829 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -62*o + 3. Let s be r(-3). What is the highest common divisor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112341 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.663*2\nAnswer: -1.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188640053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*u - 7*u. Put 5, -4, u in increasing order.\nAnswer: -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.2. Let f = -24 + 23.7. Let x = -94 - -103. Put d, f, x in increasing order.\nAnswer: f, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2571434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/25)*n)\/(n**(-2\/21)\/n)*n\/n**(3\/8)*n*n*((n\/(n*n\/(n**(-6)\/n)))\/n)\/n)\/((n**1*n)**(-1)\/(n**(1\/2)*n**(-6))) assuming n is positive.\nAnswer: n**(-33011\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 19*g**2 - 40*g - 37. Let o be h(21). Suppose 0 = -4*m + 3*m + 5. Solve -o*f + 2 = -p - 12, 5*p = -m*f + 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -26161?\nAnswer: 7\/26161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 3:05 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-28))\/((85\/(-10))\/17).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50 - -49) + 4*126\/4. Suppose -13*m + 8*m + w = 0. Calculate the common denominator of ((-77)\/m + 3)*(-1485)\/(-12) and -21\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8598? (a) -13 (b) 10 (c) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -450.\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12826, 12834, 12856, 12898, 12966, 13066, 13204, 13386?\nAnswer: 13618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 1 - 7*o - 5 + 0*o. What is the units digit of f(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3737 + 3798. Solve -4*d + 3*o - 44 + f = 0, -4*o - 16 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107756 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29088*o**2 - 4 - o + 2 + 34273*o**2.\nAnswer: 5185*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 1, j: 2, h: 1}. What is prob of picking 1 h, 1 j, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 64\/3, 5\/18, -3\/2, -6\/5?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((4\/(-1))\/(-2))\/2. Let m(n) = 6*n**2 - n + 1. Calculate the lowest common multiple of m(u) and 14\/42 + (-29)\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 0*h)*(-5*h + 3*h + h) + (-3 + 1 - 1)*(21*h**2 - 20*h**2 + 23*h**2).\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:47 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 + 24*i**2\/5 + 363*i\/5 + 336\/5.\nAnswer: -3*(i - 16)*(i + 1)*(i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -111. Let v = 34 - 34.25. Let f = v + -0.25. Which is the nearest to 3\/5? (a) f (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l**2 + 20*l - 4. Let i(j) = -j**3 - 10*j**2 - 19*j + 5. Suppose 40 = -5*p - 5*d, 0 = 3*p - p - 5*d - 5. Let o(f) = p*v(f) - 4*i(f). Factor o(b).\nAnswer: 4*b*(b - 6)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6396?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 34199964.73 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 b, and 1 y when four letters picked without replacement from {d: 2, y: 4, p: 2, x: 2, b: 4}?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3*z**2 - z - 1. Let t be s(3). Let y = -0.01 + 1.01. Let h = -4 + y. Which is the closest to 0? (a) t (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108.39 - 0.39. Let y = -109.13 + g. Let l = -0.13 - y. What is the closest to l in 1, -5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Find the common denominator of (l\/(-1*9))\/((-12)\/120) and -61\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/(14\/(-21)). Let d(w) = -w**3 + 2*w**2 - 5*w. Let f(s) = -3*s**3 + 7*s**2 - 16*s - 1. Calculate v*f(x) - 7*d(x).\nAnswer: x**3 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 less than 91016\/1667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3\/3 + 32420*j**2\/3 + 63758900*j\/3 + 11370384000.\nAnswer: 5*(j + 864)*(j + 2810)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12624 - -4025?\nAnswer: 16651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168904813 to the nearest integer?\nAnswer: 12996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -0.3412 (c) 0.08 (d) -90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o. Solve -4*m - 7 - 9 = o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-4)\/(-9))*6\/18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 - 5598455\nAnswer: -5598454.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 161431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*k - 42 = -531*k + 263*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 - 163. Suppose -a*y = 498 - 1548. Calculate the highest common factor of 30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/130)\/(3 + 17\/(-5)). Let t = 0.8 + -5.8. What is the second biggest value in y, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 85730\/2601?\nAnswer: 85730\/2601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + -1933. What is m rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -30379*(-2 - (-18)\/(-4 + 10))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -24*(-8)\/2688*6*2. Let -2\/7*b**2 - q - 10\/7*b + 2\/7*b**3 = 0. What is b?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 5. Let n(h) = 7*h + 9. Let m(t) be the first derivative of -10*t**2 - 26*t + 21. Let c(k) = 3*m(k) + 8*n(k). What is 5*c(r) - 6*v(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 3169, 10603, 25079, 48943, 84541?\nAnswer: 134219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqeeqtfqqqqes. Give prob of sequence sqq.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 57, -1\/8, 0.2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52458*h**3 + 30508*h**2 - 2 wrt h.\nAnswer: -314748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056 and 18.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 17*y**2 - 33*y + 25. Let x be h(5). What is the highest common divisor of x and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 1)*15\/4. Let h = u + 33. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4070 - -28491\/7. Let r = -3 + 1.4. What is the nearest to p in r, -0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 83*g - 55 + 83*g - 42 + g**2 + 143.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + -25 - (20 + -67 + 39)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26008*k**4 + k**3 + 215522*k**2 wrt k?\nAnswer: 624192*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/30 - 708\/(-90). Let k(m) = m**2 - 8*m + 2. Let c be k(l). Let r = 42 - c. Calculate the highest common divisor of r and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 39*l**2 - 79*l - 176. What is c(-37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0 (b) 3 (c) 1201\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -2*l, -f + 5*l = -124. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-90)\/12*1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(8\/((-192)\/56))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**4)*x)\/x**(-9))\/((x**3*x)\/(x*(x\/(x\/x**(1\/7)))\/x)) assuming x is positive.\nAnswer: x**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.031 in 2\/7, 1.3, 1\/20, -13?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 151470\/14669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 182, 717, 1616, 2885, 4530, 6557, 8972, 11781?\n\"Answer: u**3 + 176*u**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n - 15*n - 5040 = 0. Is 60 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5609*f + 409417. Calculate z(73).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 21. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/36 + 16300\/600\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5762 and 14669918.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -739461.1099939 + 739460.6. Let l = j + 0.51. Round l to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l - 6*l. Let v = -1349 - -1352. Put -3, 4\/5, l, v in ascending order.\nAnswer: -3, 4\/5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*n + 4 - 3, -5*r + 3*n = -13. Let p = -3 - r. Let y(s) = -s**3 - 5*s**2 - 2*s - 2. What is y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1375, -1, -7185, 5 in descending order.\nAnswer: 5, -1, -1375, -7185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17)\/(-4))\/(4\/16). Let r(a) = -a**3 - 3*a**2 + 29*a + 4. Let z be r(-7). Let n(d) = 21*d + 66. Let w be n(z). Solve 8 = w*o + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/238)\/((-24)\/(-14))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 15 + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04988 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5.4025 times 2\nAnswer: 10.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1001000100001011?\nAnswer: -1001000100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 20*v - 40. Let t be c(22). Let y(i) = i**3 - 5*i**2 - 4*i + 31. Let z be y(t). Put 21, 1, z in ascending order.\nAnswer: z, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**41\/w**(1\/14)*w**(13\/5)*(w\/(w**41\/w))\/w assuming w is positive.\nAnswer: w**(247\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and -0.062026750852?\nAnswer: 20.062026750852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r**3 + 6*r**2 + 140*r + 10. Let n(c) = 2*c**3 - c**2 + c - 2. What is f(j) + 6*n(j)?\nAnswer: 2*j**3 + 146*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 22*j**2 + 264*j - 2. Calculate the remainder when i(-31) is divided by 185.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:52 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 37*d - 39. Let o be p(-18). Let s = o + 2489. Is s a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x + 44. Give u(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1909449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-3 + 2 + 4)*(2*a**2 + 3*a**2 - 7*a**2 + 2*a**2 + a**2 - 2*a**2 + (-3 + 4 - 2)*(6*a**2 - 2*a**2 + a**2)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*q**5 + 681*q**4 + 2*q**3 - q**2 - 90926 wrt q?\nAnswer: 4080*q**2 + 16344*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 4*y. Let d be l(5). Suppose -2*s + d = -0*s. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-210) - 155556\/14*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1167 - -1169. Let x = -1 + -3. Let o = 0.43 - 0.03. What is the smallest value in o, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-352)\/(-44) - (-14)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67, -168, -291, -436, -603, -792?\n\"Answer: -11*t**2 - 68*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*u + 2*u + 8, -5*h - 20 = -2*u. Sort -0.2, -2\/7, 1, h in ascending order.\nAnswer: h, -2\/7, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 26, 27, 28, 29?\n\"Answer: y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6326990 and 35.\nAnswer: 44288930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2 - 7 + 1 - 2*y. Suppose -2*g - 11 = 7. Let s be 2\/4*(1 + g). Determine h(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 525 + (-7)\/(-42)*0. Let j = 527 - i. Which is the second biggest value? (a) -4 (b) j (c) 3 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -8. Let g(t) = t**2 + t - 1. Let j be g(k). Let u be ((-3)\/(-30)*2)\/j. Which is the nearest to u? (a) 0.3 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/40 + q**4\/24 + 2*q**3 - 2. Let a(r) be the third derivative of h(r). Give a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/5 - 93844*s\/5 + 1100837042\/5 = 0.\nAnswer: 23461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j + 13. Let y be j\/(-24) - 70\/(-12). Suppose 6 = y*c - 5*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0537 - 23.2463. Let j = k + 23. Is -1\/4 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -0.161.\nAnswer: 4.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, 5, 0.4, 0.48?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3432 and -13\/1179552.\nAnswer: 15334176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0*h - 7*h)*((4 + 0 - 2)*(1 - 1 + 2) - 4 + 2 + 3) in the form s*h + v and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-603)\/201*(-1)\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/6 - -2)*((-18)\/6 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-6130)\/8)\/5)\/((-465)\/(-3720)). Which is smaller: -1235 or o?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*i - 108 = 646 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-94)\/(-376)*((-5)\/30 - (-56)\/18) and -91\/2412.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + sqrt(320) + 0 - 3*(sqrt(320) + -1 + sqrt(320)) - (4 + sqrt(320) + -2 + -1))**2 + -3.\nAnswer: 192*sqrt(5) + 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 32*f**2 - f - 7*f**2 + 8*f**2 - f. Let q(c) be the first derivative of -2*c**3\/3 - 2090. Determine i(q(z)).\nAnswer: 132*z**4 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, 1\/6, 3883, 1, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*j + 28, -8 = 2*p + 3*j - 28. Suppose -p*b + 85 = 13*b. Solve b*a = 6 + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 9 = 2*o. Suppose o = 4*x - x. Solve 2*c - 19 = 5*w - 0*c, -x*c = 4*w + 29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1351 + -1300. What is the remainder when u is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*g + 8 = 2*g, 5*q + 2*g = -14. Let c = 5 + q. Solve -j - j + 7 = -c*t, -6 = -5*j - 4*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83\/(-5976)*36)\/((-7)\/40*2).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038 a factor of 217658298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -1 + (4 - -4). Suppose -5*v - 4*f + 1198 = 0, -3*v + 2*f = f - 729. Is (-8)\/(-12) + v\/y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27185 + -16513. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 30470.\nAnswer: 9\/30470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.85 + -0.032959612.\nAnswer: 19.817040388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 10*h - 3. Calculate the remainder when z(5) is divided by (-468)\/(-48) - 1\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 76. Suppose -9171 = -3*w - j*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51290 rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**6\/240 + v**5\/20 - 3*v**4\/16 + v**3\/3 + 48*v**2. Let t(g) = 0. Calculate g.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 + 4*z**5\/15 + 13*z**4\/24 + 5*z**3 - 13*z**2 + 1. Let q be o(-15). Which is smaller: 57 or q?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2439 and 3498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 2*m. Let v be (-1026)\/m + (-5)\/10. Suppose 0 = -4*n - 2*x + v, 3*x + 183 = 4*n - n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3154*t - 378419. Give v(-120).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -894, -1775, -2650, -3513, -4358?\nAnswer: -5179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n + 12 = -67*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 420 and 420 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-15 + 7 + -4) - (29 + -22) - -15\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71270825, -142541654, -213812483?\n\"Answer: -71270829*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45a01 - -2?\nAnswer: -459bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 502*d**3 + d - 497*d**3 - 4*d + 24.\nAnswer: 5*d**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 36. What is the remainder when g is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let g = h - -8. Let f = -6.19 + g. Round f to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 - 107 = -36*v + 63*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130) + (sqrt(130) - -4*-3*sqrt(130))))\/((-1*sqrt(20)*-3)\/sqrt(2)).\nAnswer: 40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88573192.\nAnswer: 2, 29, 47, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*f**2 + 31*f**2 - 15 - 143*f**2 + 50*f**2 to the form v*f**2 + t*f + u and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqo when three letters picked without replacement from osuaaawqqwusaa.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 smaller than -2449511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2902*a - 54401. What is s(20)?\nAnswer: 3639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3149 - 523 = -216*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) -0.3 (c) 4 (d) -3 (e) 67707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 2*s. Let a be 0 + 2*(0 + 1). Suppose -4*y - 19 = -3*z - a, 2*y + 1 = -z. List the prime factors of i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13333 + -10312?\nAnswer: -30311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 5 - 15*v + 15.\nAnswer: -23*v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 - 1116*x**3 - 45948*x**2 - 314784*x - 594624 = 0. Calculate x.\nAnswer: -326, -38, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 2*p - 2*g + 5*g, -2*p = 5*g - 646. Suppose -12*y - p = -2905. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1349, 1119, 735, 197, -495, -1341, -2341?\n\"Answer: -77*s**2 + s + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -250*p - 29. Let n be f(-5). Suppose -23*c = -21 - n. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413003600 rounded to the nearest 1000000?\nAnswer: -413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*d + 55*d**2 + 32071 - 32185 + 3*d**3 - 163*d**2 = 0.\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*k**2 - 12*k**2 - 17*k**2)*(-28 + 28 - 207)*(4 + 4 - 2) in the form x + m*k**2 + q*k and give m.\nAnswer: 26082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2148 - 3063. Find the common denominator of -2 + 17*(-3)\/(-11) and y*(-3)\/81*(-2)\/(-10).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 85*v - 83*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 469 divided by 4.\nAnswer: 469\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2623, 136, 4.\nAnswer: -2623, -4, 4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 455*h + 455*h - 2*h**2 - 3*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 2, 168 in decreasing order.\nAnswer: 168, 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -37*m**2 - 2*m + 1. Suppose 0*g - g = -1. Let p be t(g). Let i = p + 153\/4. Put i, 1\/2, 5 in increasing order.\nAnswer: i, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 12464.\nAnswer: -6232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (290*(-39)\/65)\/6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 184, -123, -550, -1097, -1764, -2551?\nAnswer: -3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 2 - q - 14*q in the form r*q + u and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-90)\/27*18\/15. Which is the second smallest value? (a) d (b) 7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567808 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -49*s + 4*s**2 - 47*s - 50*s**2 + 96*s. Let g(w) = -2*w + 8. Give b(g(h)).\nAnswer: -184*h**2 + 1472*h - 2944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1.45, 0.4, -0.141 in decreasing order.\nAnswer: 1.45, 3\/5, 0.4, -0.141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10073 and -0.67?\nAnswer: 6748.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + 4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 3*a**2 - 12*a - 5. Let g be m(-5). Suppose -3*f + c = -0*f - 10, -g*c - 26 = -3*f. Solve 1 = w - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/3 + 10 + 1\/(2\/200)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28bc - 410?\nAnswer: 24ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1906 = -6*w + 3488. Suppose 5*i - c - w = 0, -c = 4*i - 2*i - 361. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2834366 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4228 divided by -2114.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/27 and 19\/411?\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Suppose 4*d - 52 = -s*n, 2*n - 20 = -5*d + 3*d. 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: Collect the terms in -2 + 2 - 465*a**3 - 459*a**3 + 926*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 4 (c) 5\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -415 - 21405313?\nAnswer: -21410132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/3 - 21\/1. Let h = 0 - l. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 8:54 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n - 7*n + 342 = 13*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -671 + 677. Let f(y) = y - 1. Let t(m) = -2*m - 8. Let a(p) = 5*f(p) + t(p). Let c be a(s). Solve -12 = c*j - 5*z + 33, -j = 2*z - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/20 + 23*m**4\/12 + 13*m**3\/6 - 5*m**2 + 2*m + 14. Is j(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2, 1, -40, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/13100 and -77\/12.\nAnswer: 39300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-16))\/((32\/(-128))\/1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40023 and 20705232?\nAnswer: 62115696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 5) to base 12.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 27*b, -52*g = -50*g + 3*b + 8 - 16 - 39 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16492021.\nAnswer: 7, 13, 61, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -935996*d + 4. Suppose -3*w = -5*w - 2. Let k be m(w). Suppose 14*g - k = 12*g. What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276405550?\nAnswer: 2, 5, 17, 433, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 13292*k + 4744*k.\nAnswer: -8548*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3601.\nAnswer: 2\/3601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 - 3*c - 5. Let u(x) be the first derivative of x**2\/2 - 464. What is -h(p) - u(p)?\nAnswer: -3*p**3 + 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*v - 2. Solve 2*m + 1 = -v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -195, -388?\n\"Answer: -193*q + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 5, -1.6, -0.3, -3 in increasing order.\nAnswer: -3, -1.6, -3\/4, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187916 is divided by 18709?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trgrj. What is prob of picking 1 t, 1 j, and 2 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 552827 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 w = -15 + 21. Let k = 3 - w. What is the closest to 0 in 0.2, k, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76812 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -115580451584 - -36.69\nAnswer: -115580451547.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1433, -5822, -13131, -23354, -36485, -52518, -71447?\nAnswer: -93266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 297 = 3*h + 5*l, -297 = -3*h + l. Let x be 5*(60\/h)\/(-4). Let d = x - -1667\/66. Find the common denominator of 119\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 5 + 44 = 105 + 89 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/12 + (0 - -838 - 1). What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 2*r**2 + 0*r**3 + 7\/24*r**4 + 0 + 1\/10*r**5 + 0*r. Find the second derivative of j(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2941646 divided by -17\nAnswer: -173038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215445?\nAnswer: 5, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 4*a**4 + 5500*a**2 - 5495*a**2.\nAnswer: -5*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125625029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 + 2*c - 1. Let z be h(0). Suppose 0 = 3*v - v + 2. What is the closest to v in -14, z, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 31. Give x(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/159 - 2369\/1749. Calculate the common denominator of d and 465\/18 - 4\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/87))**(-27))**(-18) assuming p is positive.\nAnswer: p**(27864\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 387930*c**3 + 1939775*c**2.\nAnswer: -5*c**2*(c - 77591)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0) + -9 + (-1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, o: 2, j: 2, q: 3, t: 1}. What is prob of sequence qoq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -8723?\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104510b (base 13) to base 12.\nAnswer: -17a9a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 8. Let d be z(-25). Suppose 7*p = d + 984. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133501243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = 0, u - 35 = -w + 153. What is w rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(14\/(-4)) + 2850\/6300. Which is the closest to 0? (a) 5 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263 + 408. Suppose 0 = 9*w - 4*w - k. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2)\/(h*h**(-1\/4)))\/(h**(2\/21)\/(h*h**(2\/13))) assuming h is positive.\nAnswer: h**(-755\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -1. Let h = -105 - -114. Suppose f*l = h*l - 2455. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -258385 or -1808694\/7?\nAnswer: -1808694\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 50*c + 618. Let t be j(28). Solve -22*h = t*h - 144 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - d = -76 - 33, 0 = 5*v - 4*d - 131. Find the third derivative of -3*n + n + v*n**2 + 74*n**5 - 24*n**2 wrt n.\nAnswer: 4440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 463 by -6.\nAnswer: -463\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9924 divided by 4?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120669232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 2\/3, 0.5, 25?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19035663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 + 2. Let n(t) = 2*t**2 - t - 2*t**2 - 1 + t**2. Let m(v) = 2*v**2 + 43*v + 229. Let z be m(-10). Calculate z*c(r) - 2*n(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 27 + -39 - (-41 + 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -17. Let x(a) = 5 - a**3 - 6*a - 8*a**2 + 3*a**3 - a**3 - z*a. What is the remainder when 19 is divided by x(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8451 + -8449. Suppose -t + 117 = 2*t. Let w = -19 + t. Calculate the smallest common multiple of w and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294969952?\nAnswer: 2, 67, 331, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -1 (b) 5 (c) -19 (d) -0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 - 0.76. Let g = -0.52 - w. Let y = g - 0.28. What is the nearest to y in 0.5, 4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15586057 + -980.\nAnswer: -15587037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 4, 3\/2162, -0.2, -2 in increasing order.\nAnswer: -2, -0.2, 3\/2162, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 + 92\nAnswer: 95.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 3*j**2 - 3*j + 3. Let f(h) = h**3 + h**2 + h - 1. Let k(q) = 5*q**3 - 2*q**2 - 2*q + 2. Let g(p) = 2*f(p) - k(p). What is 3*g(w) + 4*n(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3667 (base 8) to base 5.\nAnswer: -30400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99059 = 2*s + 5*j, -8*s + 6*s - 99065 = 3*j. What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -477, -4011, -13595, -32253, -63009, -108887, -172911?\n\"Answer: -504*x**3 - x**2 - 3*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2432 + 1663 = 5*h. Let d = h - 9007\/11. What is the nearest to -2\/7 in -1, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -704595394059 + 3.\nAnswer: -704595394056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 0*o**2 - o**2 - 7*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (3 + -2 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-64)\/(-96) - 32\/30. Sort -3, -6, d, 8 in decreasing order.\nAnswer: 8, d, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 4*p - 5*p + 2)*(-1 - 3 + 0)*(4 - 2 + 2) to d*p + k and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 3*m, 53 = -0*z - 5*z - 2*m. Let d(x) = -17*x - 15 + 55*x - 21*x - 18*x. What is d(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1405\/25 + 5 + (-2)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*x - 4*j + 98, -3*j = -x + 12. Let r(l) = -l**3 + l**2 + l + 8. Let h be r(0). Let p = x - h. Calculate the remainder when 28 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 2*z**2 + 9*z + 14. Let q be j(-3). Let c = 1 - 4. Is q at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*sqrt(270)\/(sqrt(1000) + sqrt(1000) + (sqrt(1000) - (sqrt(1000) + (sqrt(1000) - (sqrt(1000) - -2*sqrt(1000)))))))**2.\nAnswer: -27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 - 3)*(-2 + 0 + 7) - 3 + 2 + 3)*(-55 - 8*x**3 + 55) to w*x + f + i*x**2 + o*x**3 and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = -12*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1631929 not equal to -1631929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 297316162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194748737 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: What is the common denominator of -1\/33 and 149\/96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 4.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*g + 30 = -66 - 390. Suppose 4*h - 4*i - 17 = -i, h - 5*i - 17 = 0. Put h, 88, g in descending order.\nAnswer: 88, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/36 and -79\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 465816950 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 22*v + 655. Suppose 2*k = -2*c + 7*c + v, -3*c + 186 = 3*k. Let t = -31 + k. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 49. Let s be a(-21). What is the highest common divisor of s and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + 16\/7. Suppose -y*s + 4*k + 0*k = -32, 3*k = -3*s + 3. What is the units digit of (-14)\/(-3) - (-2)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 48*r**5 + 1512*r**4 + 7948*r**3 + 33518*r**2\/9 + 5462*r\/9 + 100\/3 = 0?\nAnswer: -25, -6, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + 135. Let n be (g\/(-25))\/(4\/(-10)). Let f = -10 + n. Calculate the remainder when 11 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n, -2*m + 3*n = -7*m + 215. Calculate the least common multiple of 8 and m.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 54\/49, 0, -198, -0.5?\nAnswer: 54\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13453333 (base 8) in base 13?\nAnswer: 8243a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.89034841 to 1 decimal place.\nAnswer: 68.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 388 + -377. Suppose k*s - 44707 = -8*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/36 in 4, 2\/9, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 504 - 510. Let t(s) = 4*s**2 + 13*s - 3. Calculate the lowest common multiple of t(o) and 15.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 35 = -5*r, r - 8*h + 9*h = -13. What is the tens digit of 1184\/10 + r\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0181 and -0.03.\nAnswer: -0.000543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599984, 1199941, 1799884, 2399807, 2999704?\nAnswer: 3599569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 41*x**2 - 6*x + 234. What is v(41)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppyffffq. Give prob of sequence yq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5747980 by -5.\nAnswer: -1149596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41790*t + 1717 = -41689*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**(-1\/5)))**(5\/11)*(k*k\/k**(4\/3))\/((k\/((k*k*(k\/k**6)\/k)\/k))\/k))**(2\/9))**(-19) assuming k is positive.\nAnswer: k**(4750\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1\/6, -1, 3, 2\/27 in increasing order.\nAnswer: -1, -1\/6, 2\/27, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -133010*d - 1. Let i(v) = -32*v**2. What is q(i(t))?\nAnswer: 4256320*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 39*y + 109. Let c be s(36). Is c bigger than 2\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7 = 2*w - 2*k, 2*w = 4*k. Differentiate -25 - 9*b**4 + 26 - w*b**4 wrt b.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 5*f = -4, 3*f = 5*r + 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**7\/10 - o**6\/8 + o**5\/10 - 3*o**2. Factor k(i).\nAnswer: -3*i**2*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5 + 2. Let l(d) = 16*d**2. What is the tens digit of l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316 - -330. What is the derivative of -4061*l**4 + 4226*l**4 + 22 + k wrt l?\nAnswer: 660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 + 1247*o**3 - 70 - 69 + 314*o**3.\nAnswer: 1561*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -0.3, -0.124, 4.42, 0.1 in decreasing order.\nAnswer: 4.42, 0.1, -0.04, -0.124, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 0, 38, 112, 234, 416?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejo when three letters picked without replacement from gjfjpoep?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ichccfiggihhfiig. Give prob of sequence ifh.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 + -1)*7\/56*4. Let h be (-12 - (-9)\/3)*(-2)\/d. Let b(t) = t**2 - 22*t + 39. Let p be b(20). Put p, 0, h, 2 in ascending order.\nAnswer: h, p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5329*z + 31917. What is r(-6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -89*h**4\/12 + 92*h**3\/3 - 66*h**2 + 31*h - 3. Let f(c) be the first derivative of p(c). Differentiate f(i) wrt i.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 133 - 133.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/4))**(-22)\/(p\/p**(2\/5)*p)**26*((p**0)**(-20))**(1\/28) assuming p is positive.\nAnswer: p**(-691\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13462742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 13)*(-3)\/3. Let b be (-10)\/75 - 1127\/d. Let r = 77 - b. Solve -2 = -2*m + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*y + 15*y + 340. Suppose -2 = y*o - 86*o. Solve -3*k = o*x + 4, x + 4 = 2*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 186, 602, 1402, 2712, 4658, 7366?\nAnswer: 10962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 84\/17, 3\/4, -0.2?\nAnswer: 84\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 1 m when three letters picked without replacement from {c: 5, a: 1, z: 1, m: 4, v: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7546*y + 136 + 137 - 273 as z + p*y and give p.\nAnswer: 7546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*d + 4 + 80*d - 4 - 154*d.\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2 + 23. Is b at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -414 - -859. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 + 3*o**2 + 3*o. Let x(b) = 8*b**3 + 10*b**2 + 10*b. Let p(v) = 2*v**2 - 20*v + 10. Let z be p(10). Calculate z*d(k) - 3*x(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(2\/21)*z**(-3)*z*(z\/(z\/(z**0*z*z)))**(-1\/8) assuming z is positive.\nAnswer: z**(-13\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1961374 + -183761. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44564?\nAnswer: 2, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 774 and 33?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19 + -23 - 20\/(-2). Let k(o) be the first derivative of -o - 1\/3*o**3 + 0*o**2 - 1\/4*o**4 + n. Let j(y) = 4*y**3 + 7*y**2 + 5. Give j(t) + 5*k(t).\nAnswer: -t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = -6, -2*u + 22 = 4*i. Let x(a) = a**2 + 7*a + 11. Let s be x(-6). Solve 5*v = -2*t + u*t + s, -4*t = 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 2. Put j, 3, -4 in decreasing order.\nAnswer: 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14052993403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3030, -6088, -9146, -12204, -15262, -18320?\n\"Answer: -3058*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5 - 13*r**3\/6 + 18*r. What is the second derivative of o(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -37, -54, -87, -142, -225, -342?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**0)**(-35)\/(k\/((k\/(k*k\/k**(-6)*k*k))\/k*k)*((k\/(k**(-6)\/k)*k)\/k)\/k)*(k**1)**(-1\/6)*k**(4\/3)\/k**(-2\/5) assuming k is positive.\nAnswer: k**(-2563\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 3*i**3 - 3*i**2 + 0*i**2)*(-313 - 304 - 104) as r*i**2 + v*i**3 + o + p*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*-1*3 + (sqrt(162)*1)**2 + 4 + 4.\nAnswer: -27*sqrt(2) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 682 - 120. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26.2 in 6, 3\/5, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*k = 3*k - 1, 0 = -5*k - 15. Suppose 0 = -6*h + v*h. Solve 4*j - j = h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 37109511. Suppose 4*i = i + k. Suppose -4*p - 5*x - 19600000 = 0, -i - 776721 = p + 3*x. What is p rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118005\/(-10)*((-264)\/(-36) + -8).\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhm. What is prob of sequence mhhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1\/5, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r + 0*r**3 + 3\/2*r**2 + 1\/20*r**5 + 5\/12*r**4 + 0. What is the units digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/10, -3, 3\/5, 5, 3, -5, -4319?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -55. Let i = 74 + x. Suppose y = 4*q - 0*q - 21, 0 = 5*q + y - i. Solve -d + q = -0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11867 - 31823001\nAnswer: -31834868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -839 or -1275?\nAnswer: -1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -q - 0*q. Suppose -31 = -c + h, -112 + 3 = -3*c - 5*h. What is the highest common factor of q and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11032237919 to three dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 331*k - 103. Let q(j) = -661*j + 240. Determine -6*q(d) - 14*r(d).\nAnswer: -668*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - (-63)\/(-54). Let t(n) = -2*n + 5. Let m be t(4). Which is the closest to 1? (a) 2\/9 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 54238*j + 22110608\/3.\nAnswer: (j - 162578)*(j - 136)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 130 + 4*u + 632 - 7*u.\nAnswer: -3*u + 695","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-35*4\/(-42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 25. Suppose -6*k + d*k + 4 = 0. Let v(n) = -29*n + 118. Let q be v(4). Solve -5*s - 18 = -5*f + 2, 0 = -k*s - q*f - 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + ((sqrt(475) + (sqrt(475) - -1*sqrt(475)))*-1 + sqrt(475) + 5 + -1*sqrt(475))**2.\nAnswer: -150*sqrt(19) + 4308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -14*l - 4*z - 16, -2*l + 5*z + 19 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f + 108. Let v be r(-9). Suppose 3*n - 2*m - 4419 = 0, 0 = v*m - 7*m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04526579 rounded to 4 dps?\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dxdxddxddxxx?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/3 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -406279\/13 + 31252. Which is the biggest value? (a) 0.2 (b) -0.39 (c) h (d) 1 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 2384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599900573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -50, -66, -76, -80, -78, -70?\n\"Answer: 3*b**2 - 31*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 9*t**2 - 47*t - 28. Let v be n(-13). Let u = -65 - v. Calculate the remainder when 99 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78180000 to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/22 and 47\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {x: 1, k: 3, m: 5, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71542.57 decades to months.\nAnswer: 8585108.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 10 = 3*n, -3*v + 4*n - 22 = 0. Is 5 a factor of (-95)\/(-3 + v) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6345 is divided by 785?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0776 greater than -1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 5*d + 1, 3*h - 3*d = 9. Suppose 9*m - h*m = 10. Let v(y) = 0*y + 4 - 3 - y. What is v(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 2*c**2 - 304*c**3.\nAnswer: -304*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let n(i) = 313*i**2. Determine n(k(q)).\nAnswer: 1252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 3)\/3*3. Solve 5 = 8*g - i*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Let s(t) = 7 - 4*t**3 + 2*t**3 - t**3. Let w(p) = -2*p**3 + 5. Calculate z*s(x) - 7*w(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - r - 3. What is b(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 31382640 to the nearest ten thousand.\nAnswer: 31380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 101.2616\nAnswer: -506.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214982 rounded to the nearest 10000?\nAnswer: -3210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*r + 232*r - 696*r + 233*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/(-364))\/(2\/16*-3)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/34894 and -41\/8.\nAnswer: 139576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293\/6 + -49. Let v = 0.011 + -0.221. Let q = 0.31 + v. Which is the nearest to z? (a) q (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1415, -2832, -4235, -5618, -6975, -8300, -9587, -10830?\n\"Answer: w**3 + w**2 - 1427*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 7132888.8.\nAnswer: -7132882.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1801 - 47*z**3 + 1801 + (11 - 11 - z**2)*(-z + 5*z + 2*z) in the form v*z + a*z**2 + m + s*z**3 and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*c = 36, 4*t - 3*c - 13 - 22 = 0. Let n be t\/(-6) - 6\/9. What is the third biggest value in -1, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154\/7 greater than -9581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5985856 is divided by 70?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 5*r - 1. Let m be n(7). Let k = m - 8. What is the remainder when 9 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-309*f + 12*f**4 + 309*f)*(0*f + 6*f - 5*f).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m)**(15\/2)\/(m**(-1))**(2\/9))\/((((m**(-4)\/m)\/m)\/m)**(-41))**(-9\/4) assuming m is positive.\nAnswer: m**(22985\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8*w = 66. Let g be (-3)\/15 - w\/(-5). Suppose 5*t - 3*v + v = 4, t - v - g = 0. Is -7\/5 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44258 + 73?\nAnswer: -44175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-88.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2\/d)**42\/(d\/(d*d**(2\/5)\/d*d))**(-1\/41))**20 assuming d is positive.\nAnswer: d**(68872\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -15*s - 115 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83 - 561d?\nAnswer: -558a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**17\/w))\/(w*w\/(w\/(w**(-3\/5)\/w))*w) assuming w is positive.\nAnswer: w**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*a**3 - 16*a**3 + 1470*a**3.\nAnswer: 1895*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in -3, -13853, -1\/2, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, g: 4, v: 1, d: 1, e: 4}. Give prob of picking 1 d and 1 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 + -2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98721 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 830 = 1778. Suppose 4*w - 364 = -5*q + 287, 3*w - a = -5*q. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 15*q**2 + 13*q - 1. Let w(b) = -b**2 - b - 1. Let v(f) = 5*w(f) + y(f). Let k be v(-9). Solve 5*x - k*c + 5 = 0, -4*x = -9*x - 2*c - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 348, 818, 1480, 2328, 3356?\nAnswer: 4558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 799050243 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v - 9 = 0. Let c = 1.04 - 0.04. What is the third smallest value in c, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 4 + 0)*(-y - 2*y + 5*y) - 15*y - 18*y - 79*y)*(-2 + 5 - 1) as k + f*y and give f.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 16 + 4*z - 6*z + 0*z. Let u be y(5). Suppose -2*a - 2*a - n + 1326 = 0, 0 = 3*n - u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6*((-120)\/(-42) - 3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11979787 is divided by 798649?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164a10 (base 12) to base 10.\nAnswer: -381612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.359\nAnswer: -2.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/12)*w*w*w**(-2\/39)*w assuming w is positive.\nAnswer: w**(149\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/2)\/f)\/(f*(f**7\/f*f)\/f*f))\/(f**(-1\/4))**(-18))**2 assuming f is positive.\nAnswer: f**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*h + 711*h + 961*h + 246*h.\nAnswer: 1598*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 191207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/13207 and 5\/10678?\nAnswer: 501866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 1, g: 1, e: 18}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4956*j - 33 = -4953*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.47 in 0.3, 6, -9, -36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*f + 38 = -4*o, -4*o = 2*f + 36. Let z = o + 35. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6139 - -6139.000002939. Round m to 7 dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 263, 260, 257, 254, 251?\n\"Answer: -3*b + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307481444*o**2 - 262627543*o.\nAnswer: 614962888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1107409647285 - 0.1.\nAnswer: -1107409647285.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.64 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1519 equal to -2690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/22943 - 1766557\/1238922. What is the common denominator of u and 44\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2592 is divided by 2551?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -27*a**2 - 5504*a + 23292. Give o(-208).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 8*g - 139. Suppose -8*s + g = -9933. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -18*i - 30. Let f be (-1189)\/205 - (-2)\/i. Which is smaller: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-312) - 1005\/(-130).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - j + 8*j)*(8*j**4 + 41*j**4 + 13*j**4).\nAnswer: 930*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1313, -5262, -11847, -21068, -32925, -47418?\n\"Answer: -1318*z**2 + 5*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 122. Let w = -2.06 - -4.06. Which is the closest to 0.1? (a) w (b) 0.04 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*m = 176*m + 2*a + 24, 5*a - 45 = 5*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u**2 + 8*u**2 + u**2)*(-67 - 957*u + 325*u + 318*u + 316*u).\nAnswer: -22*u**3 + 737*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9962142 - 2*h + 3*h + 9962142.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**27*(v**5\/v)\/v**(-2) assuming v is positive.\nAnswer: v**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 4, -2225, -0.1, -3 in increasing order.\nAnswer: -2225, -3, -0.1, -0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 183560 (b) 10 (c) 13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*a = 71 - 3, -5*c + 5*a - 45 = 0. Let p = c - -38. Solve -5*i + 0*i = -p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 19*d - 15*d - 1700408, 4*d - 7*l = 1700397. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5)\/(5\/(-25)). Let a be (-2)\/3*(-1 + s). Suppose -5*b = 5*n - 60, 7*b - a*b - 5*n - 80 = 0. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**7\/840 - n**6\/360 + 2*n**3 - 12. Let x(b) be the third derivative of m(b). Factor x(y).\nAnswer: y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + -1 + (-2 - (-8 + 7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*u + 15. Suppose 0*o = -u*o + 4. Suppose p - o = 15. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2373552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 7*t + 12 + 0*t**2 - 4*t - t**2. Let d be c(10). Calculate the common denominator of ((-210)\/20)\/(d\/(-2)) and -67\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 33002044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6376 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21168568 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -3635940?\nAnswer: 3635943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -30.9001418\nAnswer: 92.7004254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5)\/15*(-6)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**3\/6 + 8*m**2 + 2*m. Let n be k(13). Solve 5*p - 3*a = 0, 3*p + a = -n*a - 29 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329428218 to the nearest integer?\nAnswer: 18150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*f - 1 = -8, -k = -f + 7. Let g(q) = 1. Let v(s) = s + 9. Let h(w) = 3*g(w) - v(w). What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30864?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*z - 228, -3*h + 66 = -4*z + 3*z. Let u = 84 + z. Solve -u*i - 8 = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 35 + 9 + t)*(1 + 2*t - 1) + (-t + 2*t - 4*t)*(14*t + 6*t - t) in the form n*t + m*t**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -701291*m**2*q**3 + m**2*q - 2*m**2 - 45*m*q**3 + 10*m - 56*q - 965 wrt q?\nAnswer: -4207746*m**2*q - 270*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 2 u when four letters picked without replacement from ssuui.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/4? (a) -1\/4 (b) -140 (c) -1\/2 (d) -0.094 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -41. Let n = 22 + o. Calculate the remainder when 53 is divided by n\/(-5) + (-616)\/(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8343259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-10\/11)\/(p**(-1\/4))**(33\/2) assuming p is positive.\nAnswer: p**(443\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j + 2*k, 0 = -j - 2*k - 3*k + 3. Let o be -4*(-4)\/12*9\/6. Solve -p = o*p - j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z**2 - 1 + 1)*(24*z**2 + 1444*z**3 - 25*z**2 - 1440*z**3).\nAnswer: 4*z**5 - 5*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {p: 6, b: 5, z: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 184798679663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007161 to 4 decimal places.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 + (33 - 38)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/333 and (2 - 12\/(-9))*((-378)\/(-3885))\/18.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -798, -1796, -3192?\nAnswer: -4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + (-7 - -3) + -2 - -14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(2\/8). Suppose z = -5*u + 2*u. Let v = 0.26 - -0.04. Which is the second biggest value? (a) v (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.92 + -0.32. Let k = z + -3.6038. Round k to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, -3, -31, -81, -159, -271?\n\"Answer: -h**3 - 2*h**2 + h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*n**4 + 8*n**2 - 13*n**4 + n**5 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180287 divided by 4.\nAnswer: -180287\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -11. Suppose 5*c - 135 = b*p, -2*c + 3*c + 2*p = 39. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -56. Suppose 1 = g*q - 19. Suppose 2*b - 108 = -5*k, -q*b - 1 - 3 = 0. What is the smallest common multiple of 11 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 2*y - 84. Let g(a) = 6*a - 16. Let k be g(2). Let d(w) = -83. Let r(f) = k*x(f) + 3*d(f). What is the first derivative of r(p) wrt p?\nAnswer: 16*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 take away 999368?\nAnswer: -999368.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/28 (b) -2\/11 (c) 4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 1308 = 7*a. Let t = a + 1285. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/3 - 1)*(41 - 111251)\/10 is divided by 372?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4389422 is divided by 190844.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39201376 - 274776*n - 1\/2*n**3 - 642*n**2.\nAnswer: -(n + 428)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 0*d**4 + 2*d**4 + (2*d**2 - d**3 - 2*d**2)*(1 - 1 + d) + d**3 - d**4 - d**3 - 6*d**2 - 7*d**4 + 6*d**2 + d**4 - 6*d**4 - d**4.\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 9. Let z = 17 - 25. Let g be v(z). Let q be (-2)\/(-9) + (-13)\/(-63). Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnkk when four letters picked without replacement from {g: 2, j: 2, k: 4, n: 1, a: 2, e: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 + 3*a - 3*a)*(7 - 5 + 0) as q + l*a + z*a**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 24 = f. Let m be 2\/(f\/9 + -2). Put 1, m, 3 in ascending order.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let c(h) = 4*h - 6. Calculate the smallest common multiple of (-3 - -6 - -1) + b and c(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 12 = k, -3*k + 12 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -21, -37, -55, -75?\n\"Answer: -y**2 - 11*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11 + w**2 - 6 - 2*w + w. Give n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22 - -8)\/(3\/4). Let t = y + -42. Let d(c) = -2*c - 3*c - 1 + 11*c - 5*c. Let z(w) = 3*w**2 + 3. Give t*d(x) - z(x).\nAnswer: -3*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7976*t**3 + 8951*t**3 - 6871*t**3)*(t - 5*t + 2*t + (3 - 3 + 1)*(4*t - 5*t - t) - 3*t + 2*t + 0*t).\nAnswer: 29480*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6804 by -6.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/51? (a) -3 (b) 0.05 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591.29 rounded to the nearest 10?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, -2 in increasing order.\nAnswer: -4, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 198968988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:14 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-14)\/v)**(-17))**(2\/71))**(-1\/2) assuming v is positive.\nAnswer: v**(-255\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from lblbbbb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 24. Solve -3*f - f = u*s, -2*f + 14 = 5*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 2\/3 (b) 1 (c) 0.03 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from {x: 3, r: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, i: 1, s: 6}. What is prob of sequence qqsq?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 814235127 to the power of 1\/2, to the nearest integer?\nAnswer: 28535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120354 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.7. Let y = j + -0.7. Let c = -0.51 + -4.49. What is the biggest value in c, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 32. Sort 0.4, 8, 0.2, q in increasing order.\nAnswer: q, 0.2, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*p - 2006 = -38*p - 18358 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 208*i + 77980. Determine b(402).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o - 4*o + 19*n - 11*n - 34, 0 = 3*n - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 53*b - 9. What is the remainder when g(3) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9 + l - 9. Let y(a) = -3*a + 2. Let j(o) = 39*o - 27. Let x(h) = 2*j(h) + 27*y(h). Determine x(f(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7899.512s in milliseconds?\nAnswer: 7899512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402327723 + 3*h + h + 402327723.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 93903067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70\/(-84)*6 + 74\/6*3 and 7396.\nAnswer: 59168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 16) in base 7?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96720 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1, 20\/3, 1\/101?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -924 greater than -2771\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(7\/4))\/l)\/l)\/l**(-2\/7) assuming l is positive.\nAnswer: l**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(4*x - 6*x + x) + 4 - 5 - 10*x + 5.\nAnswer: -12*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 5*r + 4. Let m be z(-2). Suppose m = 2*y, -3*y + 23 = 2*t + 2*y. Is (t - -166) + (-2 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3)*d*d*d**(1\/11))**8\/(d**(-4)*d**(3\/8)*(d*d\/d**(-4))\/d*d**(1\/4)) assuming d is positive.\nAnswer: d**(7507\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 5*b + 4*b + (-2*b + b + 3*b)*(4 - 3 + 1) + 91*b - 79*b + 5291 - 13*b to the form f*b + y and give y.\nAnswer: 5291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssslplssppupus. What is prob of picking 2 l, 1 p, and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11110010000101100111000 (base 2) to base 6.\nAnswer: 442005332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0393 or -1\/24587?\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 + -447655.\nAnswer: -447688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*x**3 - 157*x**3 + 347*x**3.\nAnswer: 124*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 693*r*w**3 + r*w**2 - 2*w**2 + 3 wrt w?\nAnswer: 4158*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12644 and -39\/3212?\nAnswer: 10153132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, 5, 10, 4, -0.1, 0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 - 2*n + 24. Let l be r(6). Let y be 4*5*-9*4\/l. Let j = y - -70. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -61, -132, -253, -442, -717, -1096?\n\"Answer: -3*j**3 + 2*j**2 - 24*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13*c - 4*c - 17*c - 13*c + 55*c. Let h(x) = 10*x**2. Calculate y(h(k)).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.353 + -0.34. Round f to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 53 - 38 = 3*g, -5*h + 23 = 2*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**38))*t**(3\/19)*(t\/(t\/(t\/(t*(t*t**26*t)\/t)*t*t)))\/(t**(1\/6)\/t))**(3\/23) assuming t is positive.\nAnswer: t**(1709\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1820 - 208*f + 1820)*(1 + 0 - 3)*(-2 - 4 + 7).\nAnswer: 416*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -27*v + 6. Let c be x(3). Let z be ((-9)\/15)\/(5\/c). Let s be 30\/9 + (-3)\/z. What is the greatest common divisor of 21 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8511, -17041, -25573, -34107, -42643, -51181?\nAnswer: -59721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 0*y - y + y. Let r(p) = -4*p**2. Calculate r(g(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 16. Give a(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -30. Suppose 0 = 4*u + d - 20, 4*u + 3*d = -u + o. Let a(v) = -3*v + 34. Let g be a(10). Solve 0 = u*i + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2878 (base 11) to base 7\nAnswer: 13555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -25\/2*h**2 - 89 - 8*h. What is the first derivative of j(g) wrt g?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 11*r = 41, -3*c + 16*r + 10*r - 104 + 206 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -823.252 to the nearest ten.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 1, o: 1, s: 1, n: 2, t: 1}. What is prob of sequence ntxs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 1. Let m = 6 + w. Suppose -5 - 5 = 2*o, -b + m*o + 10 = 0. Solve b = -2*p + 1 + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10)\/((-204)\/(-120)). Let p = q - 20\/153. What is the biggest value in p, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 2)**2*-2.\nAnswer: -2440 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6664 by -49.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3387419690 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 396, 3, -4, -1.\nAnswer: -4, -1, 3, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -22. Let h be q\/49 - 1872\/(-14). Suppose -f = -5*y - 28, 3*y - h = -4*f + y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.2 (c) -1\/12 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*a - 262*a + 14430 = -312*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 8:17 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 + 0.24. Let g = w - -0.31. Let u = -51\/220 + -1\/55. Which is the second smallest value? (a) 0.4 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*o**5 + 11*c*o**2 - 2*c + o**4 + 13*o - 18 wrt o?\nAnswer: 60*c*o**3 + 22*c + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -46*q**2 + 255*q + 57. What is h(4)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772472991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 70*x**3 - x**2 + 2*x - 1. Let g be h(1). Suppose 7*a - g = 3*a - 2*b, 5*b - 22 = -a. Find u, given that 16 + 47*u + 20*u**2 + 18*u - a*u = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16827552 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 12. What is the tens digit of (-9)\/i - (-93)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**2 + 21*r**2 + 1147*r**3.\nAnswer: 1147*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1639 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 20\/2) + 1 + 14. Let s(p) = -3*p + 5. What is s(i)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -84?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m + 8. Let r be d(8). Suppose s + 3*s - r = 0. Suppose 0*n - 3*n = -2*o + s, -3*o + 36 = -4*n. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 1, o: 2, t: 2, l: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let h(u) be the first derivative of 5*u**3\/6 + 2*u - 5. Let y(a) be the first derivative of h(a). Determine n(y(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17358 + 17358. Solve -27*d + 24*d - 21 = s for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292394800 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237565522 to the nearest integer?\nAnswer: 15413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v + 9 - 2*v)*(4 + 2 - 3)*(2*v**4 + 0*v**3 + 0*v**3).\nAnswer: 6*v**5 + 54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 26*c = -0 - 21 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -4. Solve g*s = 2 - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 55. Suppose -317 - 18 = -5*x. What is the remainder when x is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 + 7. Suppose 2*g = 4*n - 2, 4*n - 5*n = -3*g + 12. Let p be (n\/(-3))\/((-2)\/(-32)*-2). What is k(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 192 = -b, -2*b + 181 = 2*g + 53. Calculate the common denominator of (-12)\/g*(-148)\/6 and (126\/(-32))\/(6\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 144 = 18180*l - 18184*l, 2*g - 187 = -5*l for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 2*w + 1. Let b(m) = m**2 - 10*m + 39. What is b(g) - 5*q(g)?\nAnswer: -4*g**2 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 13*i - 14 = 0. Suppose -i*v + 8*v = 2200. Let w be ((-28)\/10)\/((-8)\/v). What is w rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147180715 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**3 + 6*z - 5. Let o be v(1). Let i be (-536)\/(-10) - o\/15. Calculate the greatest common factor of 270 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.18 (c) 104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30817, 61635, 92453, 123271, 154089, 184907?\nAnswer: 215725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/55 - 1920\/(-2100)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 10 = -2*s, -2*m - s + 599 = 0. Let x = m + -293. Solve -p = -4*o + 15, 3*o + 0*o - x*p = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*l - 21, 0*f - 2 = -f. Calculate the highest common factor of l and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6620897.1 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1206 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, q: 3}. What is prob of picking 4 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*c, 4*n + 30 = -4*c - 34. Let a = -18 - n. Solve -a*d + d = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-267)\/(-9) - 4\/6. Let j = f - 14. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45580900 rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 1\/8, 0.2, 0.07, -2.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7341476 to the nearest integer?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100001101110 + -1110100?\nAnswer: -100100011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/22*13*36. Let g = -211 - l. What is the remainder when g is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61421 + -11.710042?\nAnswer: 61409.289958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*((-32)\/18 + (-36)\/(-288)*(15 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 25*c + 20.\nAnswer: 5*(c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*d**2*k**2*s - 30241*d**2*k*s + k**2*s + 889965*s wrt d?\nAnswer: 56*d*k**2*s - 60482*d*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-16)*(-1)\/((-5)\/10) - 1\/2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 111*q**2 + 1012*q - 1031. What is y(1)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1329, 2, -5 in descending order.\nAnswer: 1329, 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20993*f + 20753*f + 12240 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180086.34 minutes in hours?\nAnswer: 3001.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 813*l*m**2 + 2*l*m - 216*m**2 wrt l.\nAnswer: 813*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2304017 and 4.\nAnswer: 2304021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/21 or -8037?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1395, 2373, 3351, 4329?\n\"Answer: 978*g + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 88 - 46 - 1 - 987*s. Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 393860\/59 - 6676. Find the common denominator of d and 73\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2\/9, 0, -8.1, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.98 + -54.02. Let z = 54.685 + r. Let g = -0.3 - z. What is g rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.7, 1\/22, 1\/12 in ascending order.\nAnswer: -18.7, 1\/22, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(432))**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*n = 45*n + 17208 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(4\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -18*m - 21. Let t be c(-1). Let p be (-2)\/(-6)*1*0. Put 3, -4, p, t in descending order.\nAnswer: 3, p, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0*d**2 + 0*d**3 - 5*d - 1\/6*d**6 + 7\/6*d**4 + 0 + 0*d**5. Find the third derivative of x(q) wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 = 19. Determine w so that -5*w + 4*w**2 - 54*w**3 + w**2 - 5*w**q + 59*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -22. Let l(z) = z**3 - 5*z**2 - 6*z - 5. Let a be l(s). Sort 0, a, -0.3 in ascending order.\nAnswer: a, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t**3 + 182480*t**2 - 972740*t - 729600 = 0. Calculate t.\nAnswer: -2\/3, 6, 12160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/29)*k\/k**(-31) assuming k is positive.\nAnswer: k**(927\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/2)\/(u*u**(-1)*u))**(-24\/7)\/((u**(-2\/7))**(4\/13)*(u**1*u)**(-2\/21)) assuming u is positive.\nAnswer: u**(4288\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, j: 4, t: 2, d: 6}. What is prob of picking 1 y and 1 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/18)\/(4\/(-9)). Suppose 0 = g*o + o - 48. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914674 is divided by 990.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000075972 to 7 dps.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:34 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/(-15))\/(2\/50). Solve -4*f = 5*a + o, -4*a - f = -5*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 140060*l**3 - 2445789650*l**2 + 220972662000*l - 4978274580000.\nAnswer: -2*(l - 45)**2*(l + 35060)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**2 - 1 + 5*v**2 + v**2 as y + n*v + c*v**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -23937?\nAnswer: -23935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 17*p**2 - 18*p + 374. Calculate i(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k. Let j(z) be the second derivative of 139*z**4\/12 + 4387*z. Calculate j(a(x)).\nAnswer: 27244*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 222?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 15. What is b(14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvce when four letters picked without replacement from vpcpccpppeyvvype.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1250 by 17.\nAnswer: -1250\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2949 - -4909. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 22*l + 4. Let f be r(11). Suppose -f*y - 3 = -y. Let j be (y + 8\/9)*3\/(-33). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553005 (base 6) in base 5?\nAnswer: 13424300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 + 106. Let x = -0.5 - -3.5. Let o = 2.7 - x. Put -1\/7, v, o in increasing order.\nAnswer: v, o, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349150 rounded to the nearest one thousand?\nAnswer: -349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let l(v) = -v + 7*v - 4*v**3 + 3*v**3 - 7*v - 4*v**2. Let u be l(q). Let a(m) = -m**2 + 5*m. What is a(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1133 and 1523576?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -6. Let m = 1047 - 1046.9. Sort v, -3\/2, 0.2, m in decreasing order.\nAnswer: 0.2, m, -3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-270) - 6\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 291, 2392, 8099, 19218, 37555, 64916, 103107?\n\"Answer: 301*g**3 - 3*g**2 + 3*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 4, 32, -2 in ascending order.\nAnswer: -80, -2, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 9*o - 2. Let h(q) = 2*q**2 - 8*q + 3. Let m(d) = 5*c(d) + 6*h(d). Let y(n) = 2*n**2 - n + 3. Let j(x) = 3*m(x) - 8*y(x). What is j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 793512 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 202518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0136 times 2?\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -861, -1922, -3407, -5316, -7649?\nAnswer: -10406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 32 = -49*p. Let u be (-6)\/p + 43\/86. Solve -7 = 6*v - 3*v - 2*d, -d = u*v - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + s + 0*s)*(1 - 1 - 1)*(-3 + 1 + 4) to k*s + b and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0201 less than 104.7469949?\nAnswer: 104.7670949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2300117 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.8 and -9678.2?\nAnswer: -36777.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(198\/(-315) - (-6)\/14). Suppose z + 426 = u. Is (-6)\/9 - z\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 - (18 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(640))\/(1*sqrt(180)).\nAnswer: -4*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 434. Let k = -171 - f. Let m = k - 154.7. Round m to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 18*p**2 + 34*p - 29. Is o(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1148 - -1.8852. Which is the second smallest value? (a) -5 (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(((-6)\/(-9))\/1). Factor 16*d**4 + 15*d**3 + 23*d**3 + 5*d**v - 11*d**3 - 36*d - 12*d**2.\nAnswer: 4*d*(d - 1)*(2*d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 451*p + 1350*p - 451*p - 448*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*m = -429992, -2*m = -6*m + 20. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -5*t**3\/3 + 4*t**2 - t - 28. What is w(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -64.893.\nAnswer: 194.679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from ycyyccyccy.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a week in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.488554 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 18, 46, 86?\n\"Answer: 6*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - 1430\/(-1320). Find c such that 4*c**3 + 0 - 4\/3*c**5 + 8\/3*c + h*c**4 - 20\/3*c**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -6*f**2 + 0*f - 8*f**3 - 46 - 15\/4*f**4 - 3\/5*f**5. Factor l(k).\nAnswer: -3*k*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 9 + -1 + 0. Let i = -1 - d. Let v be (i\/(-3))\/(9\/54). Solve -f - f = v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*k**3 + 1 + (-1 + 1 - 1)*(3*k**3 - 3*k**3 - 2*k**3) - 3*k**3 + 2*k**3 + 0*k**3 + (4*k + 3*k - 5*k)*(-2*k**2 + 5*k**2 - 2*k**2).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 - 7 = 0. Suppose 0 = 5*n - l*n + 1240. What are the prime factors of n?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 9) + -7 + (14 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236309304 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 + 2)\/(6 + -12))\/(8\/480)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 26*p**3 + 3*p**2 + 2*p + 38. Find the second derivative of y(l) wrt l.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*v + 213, -2*v + v - 492 = -5*m. Suppose 2*r + r = m. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9460 and 6116.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*b = -343*b - 123460. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246021147?\nAnswer: 3, 211, 129553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15179 - 245?\nAnswer: -15424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -57*a**2. Let x(p) = -2*p + 3. Let f(t) = 5*t - 3. Let b(g) = -f(g) - x(g). What is s(b(h))?\nAnswer: -513*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 33758 = -5*c, 3*o - 6858 = -c + 43813. What are the prime factors of o?\nAnswer: 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*t**5 + 7*t**5 + 49*t**2 - 106*t**2 - t + 49*t**2 - 24*t**5 wrt t?\nAnswer: -2700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140574634 to the power of 1\/2, to the nearest integer?\nAnswer: 11856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 23 = -2*o, -5*o + 0*t - t - 10 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.009, 5, 28\/55?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -39.78. Let a = x - -0.739. Round a to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -88 - (12\/48 - 3\/12). Does 18 divide 1\/(-4) - 17446\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1185*i - 7. Suppose c - 10 = 3*c. Let l be r(c). Let b = 2918 - l. Round b to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(102) - (sqrt(102) - (sqrt(102)*1 + sqrt(102) + sqrt(102)))*3) + 1*(sqrt(102) + sqrt(102)*2)))\/((-6*sqrt(576))\/((sqrt(168)\/sqrt(4))\/sqrt(7))).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 651\/2341931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*h = 618*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31103, -124047, -278957, -495833, -774675?\n\"Answer: -30983*r**2 + 5*r - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22529773 and 4.\nAnswer: -90119092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 8 (c) -170 (d) -2\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/15 - 14032*q\/15 + 24612128\/15 = 0 for q.\nAnswer: 3508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31230 (base 6) to base 8.\nAnswer: 10142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33730004*u**6 + 4*u**2 - u - 129074?\nAnswer: -4047600480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3293 - 543 = 250*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, s: 1, j: 1, o: 1, c: 2}. What is prob of sequence jc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26292 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -9851916.\nAnswer: -1\/3283972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 12, 4.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7796 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1353 - 3?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001662 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*2 + 4.\nAnswer: 4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/987246 and -52\/12657.\nAnswer: 987246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(39) + 1*-2*sqrt(39))\/sqrt(3) + ((sqrt(13) - -4*(1 + sqrt(13)))**2 - (1*sqrt(1053))**2)).\nAnswer: -39*sqrt(13) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(0 + sqrt(1539))*-2)**2 - (2 + (-5 + sqrt(1539)*-1 + sqrt(1539))**2)*4.\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5124046159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -93097 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:10 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 51384*s + 257020.\nAnswer: -4*(s - 12851)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 49 = 490 + 295 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.4415 + 0.4825. Let x = -0.041 + c. What is the closest to 1 in x, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4601421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 48*s**2 + 16*s + 41. What is a(-3)?\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -35. Suppose 3*w = -4*z - 20, g*z - 28 = -0*w + w. Let d(m) = m**3 + 11*m**2 - 13*m - 10. What is the remainder when d(w) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1616068 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/((-2415)\/42)*(-20)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3\/7, 0.4, -1, -32?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (-1743)\/28. Let y = -46 + b. Suppose -y*m + 128 = -0*m. Let q(f) = -2*f - 8. Let z(a) = -a - 5. Determine m*z(p) - 5*q(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g + 9*g**2 + 0*g. Let v(k) = k**2 - k + 3. Let t be (-8)\/(-4) + 4 + -4. Let l(f) = 3*f**2 - 2*f + 6. Let p(m) = t*v(m) - l(m). What is i(p(r))?\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/(r**(-1\/3)*r))\/(((r*r\/(r**(-5\/2)*r))\/r)\/(r*(r*r\/(r\/r**(2\/5))*r*r)\/r))*(r**14*(((r**12*r)\/r)\/r)\/r)**43 assuming r is positive.\nAnswer: r**(31057\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/(-245))\/(-24)*5467\/142\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Suppose -m = 3 - k. Solve -8 = m*n - 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 6*m - 865. Let w = m + 214. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 + 185. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 49*t + 49. Let v be b(-1). What is the highest common factor of v and 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118547362.\nAnswer: 2, 23, 61, 398627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 27, 60, 115, 198?\n\"Answer: z**3 + 2*z**2 + 4*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + -17)*2583\/2460.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 10. Let z = -123315 + 123327. Solve -w*x - z = 4*d - 34, 2*x - 7 = -d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72576 and 2?\nAnswer: 72576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 18*m - 176. Calculate c(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 4*i - 2. Let p be h(-2). Suppose -15*s - p = -17*s. Sort -5, s, -2.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115723+-0.7112\nAnswer: -115723.7112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 244d - 36?\nAnswer: 2417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2255*i - 4150*i - 28425 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*s - 3265610 = -3267990 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + -3 + sqrt(50) + sqrt(100)\/sqrt(2) + sqrt(50) + 2*(sqrt(50) - sqrt(200)\/sqrt(4)) + sqrt(300)\/(sqrt(12)\/sqrt(2)) + -2 + -3)**2.\nAnswer: -440*sqrt(2) + 920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 3. Let v be l(-2). Let t = v + 11. Suppose 3*w = 4*o - 2*w, -t*o - 2*w = -28. Calculate the smallest common multiple of o and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9111 in -8\/3, 2\/17, 2\/9, 3, -0.003?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118398606?\nAnswer: 2, 3, 71, 449, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 2*h = f - 154, -2*h = -f - 38. Let a = f - -43. Calculate the smallest common multiple of 3 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*k*r**2*v**3 - 3*f*k*r*v**3 + 2*f*r**3 + 5*f*r**2*v**2 + 15*f*r**2 + 214*k*r**3*v**3 + r**3*v - v**3 wrt r?\nAnswer: 12*f + 1284*k*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2898, 3944, 4986, 6024, 7058, 8088?\n\"Answer: -2*u**2 + 1052*u + 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/127461243 and 85\/2349516.\nAnswer: 509844972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (13 - (0 + 18))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.64474 years to decades.\nAnswer: 3.064474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {c: 1, w: 2, x: 2, p: 2, l: 1, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 1, -5 in ascending order.\nAnswer: -5, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 4*i - 3. Let h be n(-3). What is the first derivative of 8*f**3 + 2*f**2 + h*f**2 - 2*f**2 - 5 wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 34, 77, 116, 151, 182?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78733062 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793584.4 less than -10013?\nAnswer: -6803597.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/20 - 1\/60. Let f = 22.65 + 0.35. Let d = -26 + f. Which is the second biggest value? (a) d (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 35 + 31*y - 30*y)*(0 + 3 - 2).\nAnswer: y + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**2 - 15*v - 5. Let t(a) = -a**3 - 1. Let s(k) = -r(k) + 5*t(k). Factor s(j).\nAnswer: -5*j*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 655*j - 15994. What is b(25)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37481\/206085 + -1\/18735. What is the third biggest value in b, -297, 4, -2\/11, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 + 21201?\nAnswer: 20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 - 438 - 57158*i**3 + 214.\nAnswer: -57158*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.39. Let c = -4.03 + 0.03. Let x = -1 - c. Sort x, o, -1 in decreasing order.\nAnswer: x, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 4*i - 9*i. Let q = 1 - i. Let v be -2 + q\/(-3) - -2. Solve k = v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739959191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 7*p - 10. Let f be t(-5). Let g = 66 - 56. Differentiate 11 + g*d**2 + f*d**2 - 15 wrt d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 226 and 11.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3081 (base 15) to base 2.\nAnswer: 10100000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let q(k) = -1096*k**2. Determine q(c(w)).\nAnswer: -1096*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 + 5. Let r(d) = -6*d**2 - 8. Let u(v) = -8*q(v) - 5*r(v). Let t(j) = j + 3. Let o be t(3). Let h(m) = 122 - 122 + o*m**2. Calculate u(h(x)).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 30*g + 54 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 + (-8 + 9 - -6 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.88 + -67.88. Which is the third smallest value? (a) z (b) -2 (c) 2 (d) 0.4 (e) -131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 + -231. Suppose -p = -2*m + 178. Let z = -100 + m. Calculate the highest common factor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 3*x**2 + 24*x. Let f(h) = -19*h**3 + 15*h**2 - 146*h - 1. Let q(a) = 2*f(a) + 13*y(a). Give q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 7. Let t = g - -11. Solve -4*l = -t*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, l: 15}. Give prob of picking 3 l and 1 v.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 7. Let s(f) = -f**3 + 5*f**2 - 2*f - 1. Let a(j) = 5*j**3 + j**2 - 3*j + 1. Let u be a(1). Let o be s(u). Let d = o + -12. Determine z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - 2*p + 2*p)*(p**2 + 2*p**2 - 2*p**2) to the form z*p**3 + b + o*p + t*p**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 660\/7 - 94. Let k = -163.7 + 164. What is the nearest to 1 in k, s, -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 134*i + 131. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1188 divide 588445853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*p**2 - 7*p**5 - 38*p**2 - p**4 + 2*p**2 wrt p.\nAnswer: -420*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 12042 = -24*q - 4*r, -5*q - 3*r = -60187. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47718, -190902, -429542, -763638, -1193190?\nAnswer: -1718198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*f + 13, 0 = -f - 0*t - 3*t + 8. Let m(v) = -2*v**2 + 7*v + 16. Let h be m(f). Solve -h = -4*s - 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12843 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*n - 4*k, -2*k = 18*n - 14*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1289 - 1271. Solve -17*l + x*l = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1533920 and 109\/220.\nAnswer: 16873120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -69?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990*v + 16775 = -36864 - 17641 for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w**3 - 6. Let j(v) be the second derivative of 1\/20*v**5 + 0*v**3 + 0*v**4 + 1\/2*v**2 + 4*v + 0. Give -6*j(a) - p(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-3))\/4 - 19. Let j be (1 - (-5)\/(-2))\/(6\/r). Suppose 6*y = 6*y - j*y. Sort 1, y, -2.\nAnswer: -2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 23*f - 139. Let j be (-3)\/(-15)*-1 - f\/(-35). Solve j = 4*m - 36 + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t = -35*t - 34. Let q(x) = 8*x**3 - 6*x**2 - x + 6. Let j(y) = -23*y**3 + 17*y**2 + 2*y - 17. Calculate t*q(l) - 6*j(l).\nAnswer: 2*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1900 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1 + 0 + 0 - -4*sqrt(432)*1*-3)*-1*3.\nAnswer: 3 + 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 3:17 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*h = -2169*h - 60440 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2837, -0.05 in ascending order.\nAnswer: -4, -0.05, 2837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1953\/36)\/7 + -8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*m - 1. Suppose 0*c - 2*c = -4, 18 = m*j + c. Calculate the remainder when 11 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -20*t**3 + 5*t**2. Let j(w) = 21*w**3 - 6*w**2. Give -5*d(k) - 4*j(k).\nAnswer: 16*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s**5 - 5\/6*s**6 + 0*s**4 + 0*s**2 - 1 - 10\/3*s**3 + 0*s. What is the third derivative of c(v) wrt v?\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + g**2 - 1. Let w be r(1). Which is smaller: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/164 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 + 4 = 0. Suppose w + 42 = 5*x, 48 = 4*x - 0*w + i*w. Solve 5 = p + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4340 - -874. Calculate the remainder when u is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219*b**2*c + b**2 - 5*c**3 + 2927 with respect to c.\nAnswer: -219*b**2 - 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13153039 is divided by 1364.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 28940729*k**2 + 17*k + 28940734*k**2.\nAnswer: 5*k**2 + 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0*b + 1\/24*b**4 - b**2 + 1\/2*b**3 + 0. Let m be z(-3). Solve m = -l - 5 + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24.449155 and -3997100?\nAnswer: 3997075.550845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, -1\/3, -8, -1, -0.2 in increasing order.\nAnswer: -122, -8, -1, -1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -79 + 393. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 1778 + 1778.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/546)\/(2\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3885 and 666?\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90 + (-7616)\/84)*(-159)\/(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*q + 848*q = -238 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 6 (c) -32.15 (d) 1.2 (e) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-6)*(704\/(-78) + 5) and 121\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/40 - (13750\/495 + -27)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m**3 + 45*m**2 + 75*m - 10 = 0. Calculate m.\nAnswer: -1, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-24))\/(4550\/(-2800))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13429943 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*n - 80*n + 151*n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Let g = 37 - 45. Give k(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 33 + 48, 0 = 4*j + 4*v - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*h + 8*h. Let k = h - 10. Let i(w) = w**3 - 3*w**2 - 4*w - 2. Calculate i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707268 is divided by 176580.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -936859, -936853, -936843, -936829, -936811?\n\"Answer: 2*a**2 - 936861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**18\/(d**(-1\/26)\/d*d) assuming d is positive.\nAnswer: d**(469\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - s - 1004, -5*l - 3*s = -259 - 996. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53792971 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3477047 - 3477031.200036. Let x = p - 15.8. What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + sqrt(3)*-2)*3.\nAnswer: -12 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1224 and 272?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7824.577 centuries?\nAnswer: 782457.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -15. Let h be ((-8)\/10)\/(6\/a). Let r be 2\/6 - h\/(-30). What is the smallest value in r, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1 - -1)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11690514)\/10 - (-4)\/10. Let a = 7808598 + -5439547. Let o = n + a. Round o to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -50. Let t be (-522)\/(-8) + 0\/1. Let o = t - 66. Which is the third biggest value? (a) w (b) 5\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 1:44 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -7*x + 3. Suppose -11*b + 92000 = -x*b. What is b rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -30.9, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 11*w + 4. Give l(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13498 - -79461. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let v = 16 - -2. Suppose 2*w = f*w - v. What is the remainder when 52 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + (-999)\/(-15). Suppose 3*y + 28 = a. Suppose 5*n + 10 = 3*i, 3*i - 6*i + 2*n + y = 0. Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341917, -341921, -341935, -341965, -342017, -342097, -342211?\nAnswer: -342365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8073577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115 - ((-15)\/(-9))\/((-90)\/(-108)).\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/25*10\/(-4). Let q be -4*(2 - 3) - 4\/a. Suppose 0 = q*x + 9*x - 1800000. What is x rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 348, 357, 370, 387, 408?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -51, 2, 3, 19 in descending order.\nAnswer: 19, 4, 3, 2, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:52 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -438459985 divided by -108235?\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3839836 by 548548.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 101, 0.14, 2, -1\/4, 0.2, -401, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80.999 - -81. Let m = u + -0.101. Let l be (-2 - -2)\/(-3) + 7. What is the nearest to m in -0.1, l, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 7*l**4 - 2*l - 7*l**4 + 1 + 0 + 2*l**4 - 15 as z*l**4 + t*l + o + r*l**3 + c*l**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (55\/30 - 2) + (-6351)\/(-36). Is j bigger than 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 31612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11574.5 - 13423. Round b to the nearest ten.\nAnswer: -1850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1134 and 228792.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2368*g - 54465. Calculate o(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1522 - 1521.95. What is the fifth smallest value in 0.2, -0.1, -15\/7, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 34\/3, 0.4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-9) + 0)*-6. Is u equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742569685 to the power of 1\/3, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19435 - 67372 = 2459*f + 4176 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 14*z - 8. Let s be m(8). Let f be (-16)\/6*12\/s - -4. Suppose y + 20 = k + 4*y, -15 = -2*k - y. Solve k = -c - f*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 221*v**3 + 7*v - 3. Let i(h) = 223*h**3 + 6*h - 3. Give 6*g(z) - 7*i(z).\nAnswer: -235*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -333110*v - 4*v**2 + 5*v**2 - 15*v**3 - 3 - 2*v**2 + 333109*v + v**4 as o*v + w*v**4 + j + x*v**2 + h*v**3 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*r**3 + 24*r**3 + 25*r**3.\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -15*x. Let v = -25 + 41. Suppose -q + 2*q + 4*o = 15, 4*o = v. List the prime factors of m(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 6:22 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 7\/6*v**3 - 19*v - v**2 + 0 - 1\/8*v**4. Determine b(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3 + 16\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 + 4*d - 5. Let i be s(-5). Suppose -3*o - 15 = i, -4*x + 2*o + 14 = -0*o. Calculate the lowest common multiple of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 837*w**2 + 1693*w**2 - 39*w**2 + w + w**2 - w + (-w**2 + 2 - 2)*(4 - 5 - 1).\nAnswer: 2494*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = n, 3 = -4*j + n + 5. Let u(g) = -g**2 - g. Let o(k) be the third derivative of -k**4\/6 - 3*k**2. Give j*o(r) - 2*u(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17487154 to the power of 1\/2, to the nearest integer?\nAnswer: 4182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/2 + (-2 - 1). Let s be 11 - (c\/2 + 2). Suppose -s*z = -3*z + 840. What is z rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192.1 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 19*k - 21*k = 587396, -4*k + 32 = 0. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - 2*s**3 + 5*s**3 - s**2 to u*s**3 + k*s + n*s**2 + t and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 1 + 2 - 1 + 4*i + i**3 - 3*i**2. Let f be x(4). Factor 2*b**3 + b + 0 - 3*b + 2 - 2*b**f.\nAnswer: 2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9)\/54*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*r - 49*r - 26*r - 2*r + 3*r + 0*r + (3*r - 3*r - 2*r)*(4 + 2 - 4))*(4*r - 4*r - 5*r).\nAnswer: 675*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74987 divided by -32.\nAnswer: 74987\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(147) - (sqrt(147) + 3)) + -4 + -2)*6)**2 + 3)*1.\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100433700 rounded to the nearest one million?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326 divided by -15.\nAnswer: -442\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 10 = -2*b, b + 2*b = m - 15. Suppose m*r = -2*r + 4. Let i(f) = 5*f + 195. Let n be i(-39). Solve r*o - 4*v = 16, -o - 16 + n = 4*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155\/(-10)*4 + -2. Let s = 75 + p. Suppose 4*o = s + 1. Solve -2*q + 3*q = -o*m + 18, q + 17 = 4*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364, 933, 1724, 2737?\nAnswer: 3972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/(-12) + -2)*-3. Let p(k) = -k**3 - 7*k**2 + 2*k - 1. Suppose -312 = 4*z - 17*z. What is the remainder when p(u) is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201315797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -279045 or -279032?\nAnswer: -279032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(2\/8)\/((-1)\/1). Let o be 30\/(-45) + (d - 1\/3). Solve -n + 2 - 3 = o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 11\/2)\/(900\/(-80))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4277, 4639, 5557, 7289, 10093, 14227, 19949, 27517?\nAnswer: 37189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 24 = -a. Let l = a + 3. Sort 2, 4, l in descending order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*j**4 + j**3 + 39*j**2 + 6*j - 1491 wrt j.\nAnswer: 1776*j**2 + 6*j + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 0.3 (b) 4\/7 (c) 5 (d) -1\/7 (e) -0.05258 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8871569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*j**3 + 9392*j**2 + 1100740*j - 441800 = 0. Calculate j.\nAnswer: -235, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 11 - ((8 - 10) + -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 52\/(-24)*-2*6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r + 40. Suppose 7*q + r = 3*q. Let g be (q - (-8)\/2)*2. Sort g, -2, -1 in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10100100101?\nAnswer: 10100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 17402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14819 + 14817. Which is the closest to w? (a) -1\/6 (b) -2 (c) -1\/1724\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 20 - 14 = 0, -3*y - 4*x - 39 = -9*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:04 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -11\/15*y**5 - 1\/60*y**6 + 0*y**4 - 25*y**2 + 0 + 0*y - 1\/210*y**7 + 0*y**3. What is the third derivative of k(x) wrt x?\nAnswer: -24*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3200\/(-204))\/(-8) + (-2)\/1. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + 1. Let o = 91.11 - v. Suppose 7 = 5*l + 4*p, -4*l - 4*p = -12 + 4. What is the nearest to l in o, -3\/2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.22 + 63.78. Let q = 67 - r. Let o = 5 - 5. What is the closest to o in -0.2, -0.4, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 + 2*n + 0*n - 63.\nAnswer: 2*n + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, q: 1, i: 1, a: 1, c: 1}. Give prob of sequence vo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 20*o**5 + 16468*o**4 + 479744*o**3 - 2039776*o**2 - 108358976*o - 42986944 = 0.\nAnswer: -793, -22, -2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*d**(1\/2)))))**(1\/48)*d**(-2\/3)*d**(-2\/3)*((d*d*d*d*d**(-5)*d*d)\/(d*d**(2\/5)))**(-2\/31) assuming d is positive.\nAnswer: d**(-6537\/4960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351\/2359 - 2\/337. What is the closest to 2 in -2\/5, 2\/5, o, 19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4543152 months to millennia.\nAnswer: 0.0000378596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:28 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/77 + -71\/231. What is the nearest to 2\/7 in -11, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159120 and 975.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624 divided by 473.\nAnswer: -624\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 62*c - 4. Let r(g) = -3*g + 1. Let z be r(-1). Suppose 2*w + 2*y - 11 = w, z*w = 3*y + 66. Calculate the remainder when n(1) is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 39933826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.29124 litres?\nAnswer: 8291.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4311 and 454625127.\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748 by -374.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-9)*(-15)\/20. Let h = -815 + 817. Calculate the greatest common divisor of c and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 19 (b) 3 (c) 67 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:42 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + 795\/(-45))\/((-1)\/(-18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 1. Let p(m) = 2*m**2 - 4*m + 15. Let i(b) = 4*d(b) + p(b). What is the derivative of i(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 7. Let t = 420 - 412. Determine q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0571 + -0.057. Round w to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*v - 5*n - 6 = 0, 0 = n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b + 5*n - 41, 4*b - 127 = 5*n. Is 683124\/b + 10\/(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - d**2 + d**2 + (4*d**2 - 4 + 4)*(-1 + 1 + 3*d) + 4*d**2 + 4*d**3 - 4*d**2 - 3*d**3 + d**3 + d**3 + (-d**3 + 4*d - 4*d)*(2 + 0 + 0).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*v + 61*v - 996 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15013, -30007, -45001, -59995, -74989, -89983?\n\"Answer: -14994*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*c - t, -11 = -4*c + 5*t - 4*t. Let b = 4 + 0. Solve -c*y + 0*j + 13 = 5*j, -3*y + 8 = b*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/11))\/(o**(2\/35)*o))**(-2\/37) assuming o is positive.\nAnswer: o**(-96\/14245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 4*d - 1. Calculate t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177 - 169. Which is the fourth biggest value? (a) -1\/2 (b) z (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 3*t**2 - 2*t. Let j(r) = -3 - 3 + 2*r - 2 + 4. Let d be j(3). Calculate v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 + 16*z**4 + 22*z**3 - 16*z**2 - 24*z = 0.\nAnswer: -6, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4)\/(-133))\/((-2970)\/(-3465)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10321333 (base 4) in base 5?\nAnswer: -1120340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 156*f - 179 - 115. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72.5 + 55. Let h = -18 - t. What is the smallest value in h, -1, 1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27434766.\nAnswer: 2, 3, 227, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 498? (a) -4\/9 (b) -9 (c) 1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnnb. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 19\/20*u**5 - 1\/15*u**6 + 0*u**2 + 0*u**4 + 0 + 50*u**3 + 177*u. Find the second derivative of q(y) wrt y.\nAnswer: -24*y**2 + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -645 and -644 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in 4, 3\/2, 1\/4, -107.32, 4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3) - 0)*3. Let t be 135156\/(-72) + d\/12. Let m = 5555\/3 + t. Find the common denominator of m and -14\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((4 - (-6 - -3)) + -11 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -32252.608\nAnswer: 9675.7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -624 greater than or equal to -625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2) - -2 - 1. Let m = 319539 - 319543. Which is the nearest to r? (a) 4 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1321613 * 1.\nAnswer: -1321613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8662838*j**2 + 8662539*j**2 + 4*j + 0*j to the form a*j**2 + x*j + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(2\/16). Let v be 10\/f*(-12)\/(-10). Let g = v - 1. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 = -3*t + 6, -29*t = -26*t - 11 + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010110001 + 111?\nAnswer: 10001010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848166 is divided by 34868.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033adc (base 14) to base 11.\nAnswer: 4359496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*a - 120*a + 13857 = 0. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o**3 + 5*o**2 - 4*o + 1. Let j(x) = 11*x**3 - 4*x**2 + 3*x - 1. Calculate -4*j(f) - 3*p(f).\nAnswer: -14*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -302.8640281 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -244. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52278091 - -52278113.000009. Let n = 22.04 - 0.04. Let z = n - b. What is z rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -19*q**7\/42 - 5*q**4\/3 - 4*q. What is the third derivative of n(j) wrt j?\nAnswer: -1140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -85 + 5?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3565 + 1270524?\nAnswer: 1274311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-32))\/((-6)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/24 + 3\/8. Let r = 173 - 243. Let k = -70 - r. Which is the biggest value? (a) -5 (b) s (c) k (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1635*u**4 + 4704 wrt u?\nAnswer: -6540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**4 + 26289432*s**3 - 25839664*s?\nAnswer: -24*s**2 + 157736592*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-28)\/(-6) - 28\/(-21). Suppose -7*f + 23 + 12 = 0. Solve f*n - 3 = l*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:15 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-4)\/(-16))\/((-3)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {s: 8, t: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**3 - r + r)*(-529*r - 99*r - 132*r - 522*r - 2512*r) as q*r + f*r**2 + t + s*r**3 + k*r**4 and give k.\nAnswer: -15176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 4, -1, 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 - 2)\/2)\/(9\/(-1485)). Let y = s - 95. Suppose 2*o - 5*f + f = y, 4*f = -o + 47. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 11 + 3 + 5 = b, 3*c + 45 = -6*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326387, -652636, -978887, -1305140, -1631395, -1957652?\nAnswer: -2283911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 334?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2649*f + 15445*f - 5980*f + 13223*f.\nAnswer: 25337*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**2. Let y(j) be the first derivative of 0*j**2 + 0*j + 10 - 4\/3*j**3. What is y(b(k))?\nAnswer: -256*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777717278.\nAnswer: 2, 13, 29912203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 157.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6764.\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 72. Let m be 5\/18 + 4\/n. Is m greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252*v**3 - 7*v**2 + 1 wrt v.\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 33. Let f = 0.04 + 4.96. Let p = f + h. What is the second smallest value in 0.1, p, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/(-22) - (-50)\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -7)\/((-680)\/(-3944)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 295545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 140 + 48. Let h = g + 3. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (1 + -3)) + -2. Let p = j + -4. Suppose -x + p = -5. Solve -5*q - x = -30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2352)*1)\/(-5*sqrt(24)\/sqrt(4)) + -5)**2.\nAnswer: 28*sqrt(2) + 1017\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -0.046695, 0, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121089398.6 - -141706.\nAnswer: 121231104.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) 20358 (c) -3\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 11?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1\/(k**15\/k) assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -0.7. Suppose 27 = -4*l + o + 8, 5*l + 20 = 5*o. Which is the smallest value? (a) m (b) l (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 472*n + 27 + 473*n - 2 - 944*n - 26.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 - 11*n. What is x(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 10 = -2*c, -2*c + 565*o - 560*o + 18 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 6:31 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.66 + 1.5. Let c = z - 2.54. Round c to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12571163 to the nearest integer?\nAnswer: 3546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 2, w: 4, r: 3}. What is prob of sequence wrww?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = 3*i - b, 11 = -5*i + 4*b. Let q = -8 + 7. Let w = -2 - -3. Sort q, w, i.\nAnswer: i, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 - 161*g + 625. Calculate q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*n - 40 = 0, -4*f + 4*n + 39 = f. Let y = 18 + -16. Solve 4*c - k = f, 0 = 3*c + 4*k + y - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -473 and -3010590471658.\nAnswer: -3010590472131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 - g - 3*g**2 + 0*g - 4*g + g**3 + 4. Let d be w(4). Solve -d*k = k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -48*c + 0 - 1\/12*c**4 + 0*c**2 + 0*c**3. Let u(x) be the first derivative of -33*x**2\/2 + 1. Give k(u(f)).\nAnswer: -1089*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*f - 13 - 3, 3*f - 3*z - 12 = 0. Suppose f = 7*c - 2*c. What is the third biggest value in 4, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 1) + 163 + -143?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from {w: 2, l: 3, k: 2, q: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/7, 2\/7, 69\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 616 + 604. Solve 0 = 3*o + 5*z + 15, 3*z - 3 = -d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12668, 12665, 12662?\n\"Answer: -3*w + 12671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 + 101. Let t be 68\/(-51)*u\/2. Find d such that 47*d + 0 + 225*d**t + 3 + 1 + 13*d = 0.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-6 + 10 + -1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5051*v - 1933*v - 477*v - 920*v + 1381*v to c*v + q and give c.\nAnswer: -7000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*l + 6 - 18, -4*x + l = -11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 23. Suppose 2*a = -5*a - 98. Let h be v(a). What is the greatest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 41 (b) -245 (c) -3\/5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 1. Let w(x) = x**3 - 9*x**2 + x + 1. Let q(u) = 6*i(u) + w(u). Give q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -47*c**5\/5 + c**4\/12 - 28*c**2 - 29*c - 3. Find the third derivative of h(i) wrt i.\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9489\/(-1))\/(-134 + 131) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1657 and 5?\nAnswer: 8285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 27*i - 416. Calculate s(14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -474*c. Let f(p) = 22*p**2 - 103*p**2 + 27*p**2 + 34*p**2 + 30*p**2. Give f(l(r)).\nAnswer: 2246760*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 5, l: 13}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/4 + 47*m**4\/4 - 45*m**3\/2.\nAnswer: -m**3*(m - 45)*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 7*m**2 + 13*m + 2. Calculate x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + r = -28, -3*v = 9*r - 8*r + 16 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15*l - 19494 = 0. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.807 + 2.193. What is the closest to -0.308 in l, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 4. Let a be w(-7). Let r(p) = 2*p**2 + 3*p - 2. Let t be r(a). Suppose -16 = t*x - 3*x. Is x less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by 2?\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*w + 50 = 0, -5*w = 4*b + 1 + 39 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*k + 14580 = 7328 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - p = 0, 0 = 2*o - 2*p + 2. Solve 4*h - o = 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*b + 149*b = -588 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195955 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.54? (a) 0.2 (b) 1.9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mflm when four letters picked without replacement from {l: 3, f: 2, m: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 2 + 5*c**2 - 6*c - 3. Let t be w(7). List the prime factors of 70\/9 + t\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -873554 divided by 436777\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.51138 millennia in centuries?\nAnswer: 225.1138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*v + 222 = 0, -4*a - 13 = 5*v + 168. Let k = 94 + a. Let x = -353 - -370. What is the remainder when k is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - ((-16)\/4 - -3). What is the greatest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 4*l + 2. Let c be p(-4). Suppose -c*k = 3*k + 25, -5*k = d. What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 27 = -14*r - 6*f - 0, 3*r + 12 = 5*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -2 + 1\/1. Suppose -x*k + 21 = -0*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 - 785 = -14*q. Calculate the greatest common factor of 576 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2 - 2)*(-3*d - 5*d + d) + (27*d - 27*d + 3*d**2)*(1 + 1 + 0)*(-4 - 1 + 7).\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:09 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u + 0)*(-6*u - 4*u - 3*u)*(-2*u + u + 3*u).\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*p + 8 = 0, -5*a + 5*p + 1 = -9. Suppose 42*v - 40*v - 4 = a. Suppose 4*k - 299 = -z - 2*z, v*k - 153 = -5*z. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/35 + 6\/(-21). Sort 0.1, -2\/5, r in descending order.\nAnswer: 0.1, r, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 - 21*s - 124. Calculate n(-9).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/3 - (-2 + (-304)\/24) is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21212 + -3?\nAnswer: 21203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4\/19))\/((z*z**1)\/z)*(z\/(z*z*(z\/z**6)\/z))**(-4) assuming z is positive.\nAnswer: z**(-376\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.6433*2.\nAnswer: 19.2866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -10. Let d = 0.6 - 5.6. Let w = v - d. Sort -5, w, -0.3.\nAnswer: -5, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*z, 5*z - 15 = -2*b + 3*b. Suppose -z*f - 10 = -h + 11, 4*f - 63 = -3*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4 - 233*m**3 + 2042*m**2 - 5848*m + 5376 = 0.\nAnswer: 2, 3, 4, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*h = 15, -9 = -h - 2*h. Suppose 0 = -g + 5*i, 3*g + s*i = 5*i. Solve -3 = n - g*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34938990.\nAnswer: 2, 3, 5, 388211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:40 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eb (base 15) in base 2?\nAnswer: 11011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = h + 3*b, 0 = 4*h - 4*b + 12. Which is smaller: h or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 957, 948, 935, 918, 897, 872?\n\"Answer: -2*g**2 - 3*g + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22570 - 16477?\nAnswer: -38a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:04 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3915 + -3909. Solve 3*y + 3*t - q = 0, -7 = -y - 4*t - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079844361 rounded to six decimal places?\nAnswer: -0.007984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**2 - y - 30*y**2 + 4*y - 2*y to x + j*y + o*y**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 - 1 + 3*c.\nAnswer: 3*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/14))\/(l\/l**5) assuming l is positive.\nAnswer: l**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*k + 12, -18 = 4*k - 3*p - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 16.7. Which is smaller: 0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470649 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = -56*l - 3*q + 6*q - 100, 3*q - 33 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 3*h**2 + 8*h. Suppose -3*f - 30 = 2*f. Let t be a(f). Suppose 3*o - g - 38 = 0, -5*o + t = -3*g + 2*g. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/11)))\/(t\/((t*t*(t\/t**(1\/2))\/t)\/t))*(t\/(t**21*t))\/((t\/((t\/(t**(-1\/12)\/t))\/t))\/t) assuming t is positive.\nAnswer: t**(-2671\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from {v: 1, k: 1, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*c - 125*q + 126*q, -c - 3 = 2*q for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 405001607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - 1*sqrt(315) - sqrt(140)\/sqrt(16))\/(sqrt(343)*2*-1).\nAnswer: 5*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.504 + -0.004. Let z = p - 1.4999976. Round z to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 10*j + 190 = -290 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32662 times -1.1?\nAnswer: -35928.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12178 divided by -2550.\nAnswer: -6089\/1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -10*q**5\/3 - 102*q**4 - 2116*q**3\/3 + 1152*q**2 - 1024*q\/3 = 0.\nAnswer: -16, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 3*h + 3*h**3 + 4*h to the form a*h**2 + t + n*h**3 + u*h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/7)\/((6\/(-147))\/((-5)\/35)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = 4*r, -b - 3*r + 7 = -5*r. Solve -2*c + 5 = -b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.9? (a) -0.3 (b) 0.05 (c) 1\/3 (d) -2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1854 divided by 6\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i + 2*i + 3*i**2 + 6*i + 2*i wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275084 is divided by 616.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1 - (-1)\/(-3)). Let f(a) = -a**3 + 5*a**2 + 7*a + 1. What is the remainder when f(6) is divided by 16\/6*(-6)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -45. Suppose 3*j = 3 + k. Let b = j + 0. What is the least common multiple of 3 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 5*m - 97. Determine r(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from ffgfgfgffffgff?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 + 0.7. Let v = 6.6 - h. Put -0.2, v, -0.3 in decreasing order.\nAnswer: -0.2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -8*i + 57. Suppose z = 5*a - 6115, i*a - 3*z + 335 = 4004. What are the prime factors of a?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069936477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 26*x - 9715. Let s = x + -222. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2560, 1, 3 in ascending order.\nAnswer: -2560, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**3 + 7*n**2 - 16. Let a be h(-4). Let m = 232 + a. Calculate the remainder when 55 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {f: 3, b: 3, o: 7, q: 2, a: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from uwwuxxmxwxwwixmuwwwm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53624438 rounded to 3 dps?\nAnswer: -0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -334 (b) 2 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -984?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l**2 - 1. Let v be y(-1). What is the nearest to 2 in v, 3, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818713425 to the power of 1\/3, to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/4))**31 assuming y is positive.\nAnswer: y**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/161 and 53\/32775?\nAnswer: 229425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*j - 4, -3*j = 3*d - 0*j + 3. Let n = 3 - d. Suppose 0*l - 44 = -n*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 280*l + 119. Let y(v) = -13*v + 215. Let s be y(17). Let o(u) = -7*u - 3. Calculate s*n(d) - 238*o(d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 0 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o*u**4 - 85*o*u**3 + 1422*o*u**2 + 128*o - 9488*u**3 - 2*u**2 wrt u?\nAnswer: 168*o*u - 510*o - 56928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/12*(-2)\/(-1). Let i be z\/(-3)*3 - -8. Let t(w) = -29*w + 357. Let l be t(12). Calculate the greatest common factor of i and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 28*i**2 + 68*i**2 - 2 - 20*i**2.\nAnswer: 76*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + 28\/(-8))\/((-12)\/3296). Suppose -5*p = -0*f - 3*f + 1972, -2*f - p = -1293. Let x = f + k. Calculate the remainder when x is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 876?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 585. Let b = t + -429. Is 42 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdk when three letters picked without replacement from ddkpkkkd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsn when three letters picked without replacement from snnnnsnn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 - 3. Let k = 12 + -10. Let u be (-3)\/60 + k\/8. What is the second biggest value in -2\/7, u, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3463 (b) 2\/5 (c) 13 (d) -21 (e) -2\/11 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/(3\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 + 288*c**3 - 216*c**3 - c + 2. Let p be u(1). Calculate the common denominator of 4\/(-1) + (-438)\/p and 145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 22\/10)\/((-6)\/(-15)). Suppose 62 - 17 = a*v. Suppose -v = -3*z + 2*f, -2*z + 3*z - 3*f = 12. Solve z*k = k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*1*(-84)\/(-35). Suppose -b = -2*z - 2*z. Suppose z*m + 19 - 5 = 5*w, -m = -w + 2. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 8 = 0. Let h = 4 + x. Let t be ((-6)\/(-9))\/((-4)\/h). Which is bigger: t or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7065 divide 583611390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 0 + (-23 - -24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 9 = 5*y + 6, -3*i + 31 = -5*y. Let w(q) = -2 + q - 4*q - 2 - i*q + 2*q**2. What is the units digit of w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**(-9\/5))\/w)\/w*w*w\/w**(5\/7))\/((w*w**24*w)\/(w**(-21)\/w)) assuming w is positive.\nAnswer: w**(-1698\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjj when three letters picked without replacement from jjjjjbjjjjjjjjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2. Let j(k) be the first derivative of k**3\/3 - 5. Give u(j(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 3*t - 1. Let z be l(-3). Let g be ((-5)\/z - 5)*-1*1. Suppose -d = x - g*d, 2*d = -3*x + 3. Solve 2 = -x*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*d + 20 = 0, 11*d - 8*d = 4*b - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/7 + 2760*b**2\/7 + 2510973*b\/7 + 754544506\/7 = 0?\nAnswer: -1114, -823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -279590.\nAnswer: -49\/139795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1510 (base 14) to base 15.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 8*j**2 + 6*j + 6. Let a be y(5). Let t = a + -85. Let w be t\/(-5) - ((-246)\/5)\/6. What is the highest common factor of w and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 - 8*u**2 + 23. Suppose 27*y + 11*y - 646 = 0. Let z(i) = -2*i**3 + 3*i**2 - 8. Calculate y*z(h) + 6*c(h).\nAnswer: 2*h**3 + 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 47, 82, 133, 206?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 869685 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322837 - -322838.000004. Let v = -1 + r. Round v to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 38. Calculate the least common multiple of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -7*n**3\/3 + n**2\/2 - 611. Suppose -2 = 2*i - 4*i. What is z(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from finnifnxx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.4. Let l = -0.3 - -0.1. Sort i, -5, l in descending order.\nAnswer: i, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12505+-0.2303\nAnswer: -12505.2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -529*y**4\/108 + 92*y**3\/27 - 8*y**2\/9 - 7*y + 6. Factor r(t).\nAnswer: -(23*t - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77667?\nAnswer: 3, 25889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3840 * -1914.\nAnswer: 7349760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15055482 divided by -5018494?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 132. Let g = 898 - 855. Which is greater: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 5*l. Let u be v(-4). Let m be 38*u\/(8\/(-3)). Suppose 0 = -z + 4*z - m. Calculate the remainder when 55 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**5\/60 - 5*r**4\/12 - r**3\/2 + 17*r**2\/2 - 10. Let u(b) be the second derivative of h(b). What is the units digit of u(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = 212 + 188. Put -5, 2, -10, q in decreasing order.\nAnswer: 2, -5, -10, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*m**3*r**2 + 18*m**2*r**2 + r**2 wrt m?\nAnswer: 1056*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62479?\nAnswer: 43, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1811, -1809, -1815, -1835, -1875, -1941, -2039, -2175?\n\"Answer: -b**3 + 2*b**2 + 3*b - 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*a + 38859, 5*o - 5*a - 31257 = 7608. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*x - 634 - 1301 = 2538 + 6080 for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpbrbbopbppaplbbrpp. What is prob of sequence bl?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 4*u = -140, 133*c - 130*c - 9 = 5*u for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-282)\/10 + (37 - 10). Let q = -2.5 - -2.72. Let k = -0.08 - q. What is the third biggest value in k, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-156)*9*4*14*(-8)\/(-4704)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 21*p**2 + 20*p.\nAnswer: -p*(p - 5)*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t. Suppose t*j = 5*j - 4*a - 90, 4*j - 71 = 3*a. Let w be (-18)\/j + (-4)\/(-14). Let z(d) = -12*d**2 - 2*d - 1. Calculate z(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - f + 17 - 4)*(2*f - 4*f + f) + (2 + 0 - 1)*(0*f + 0*f - 3*f**2) + 43*f**2 + 22*f**2 - 4*f**2.\nAnswer: 59*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 19*c = m - 10, 2*c - 2*m = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*x - 44*x + 7*x**2)*(-9*x - x - 3*x) + 3*x**2 - 3*x**2 - x**3 + x**3 - 5*x**3 + x**3.\nAnswer: -95*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 136\/7, -0.05, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)*((-96)\/(-64))\/(6\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 5*h**3\/3 - h**2\/2 + 8*h + 5. Let y(s) = 6*s**2 - s + 9. Give -7*k(l) + 6*y(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5.63*-0.52988\nAnswer: 2.9832244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 + 636 = -6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a - 1. Let b(s) = 13*s - 1. Let u(k) = 3*b(k) - 4*c(k). Let r(d) = -2*d**2 + 2*d - 1. Let f be r(1). Give u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -7*z**2 - 2. Let b(k) = -2*k**2. Determine b(m(g)).\nAnswer: -392*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 3, y: 3, j: 3, w: 3}. What is prob of sequence oob?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 10*z + 2162. Let b be i(-42). Which is greater: b or -350\/17?\nAnswer: -350\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34353 and 4796928.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c13bc + 165?\nAnswer: c1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*l + 19, 51*l + 4*f - 6 = 49*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b**3 + 3*b**2 + 2*b. Suppose -18*a - 12*a = 30. Calculate u(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2 + 523456*t - 34250772992 = 0.\nAnswer: 130864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 13.65.\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934409289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*g + 41*g + 56*g)*(-g - 1 + 1) - 3 + 7 - 4 + 0 - 36*g**2.\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16627\/11 + -1510. Find the common denominator of 9\/11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 5\/66 (c) -23.83 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8817, 0 in decreasing order.\nAnswer: 8817, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -1 + 0*w**3 + 1\/4*w**4 + 0*w - 1\/2*w**2. Suppose q(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105.8 - 116.8. What is the smallest value in 1, x, -4, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4*h + 24*b**3*c*h + b**3*c + 4*b**2*c*h - b*c + 4*c*h + 1 wrt b.\nAnswer: 48*b*h + 144*c*h + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:36 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254125 is divided by 581.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -f - 4*l, -3*l = -f + 53 + 11. Let q(g) = 56*g + 1. Let s be q(1). Suppose 0 = -11*o + 8*o + s. Calculate the remainder when f is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:50 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4200))\/sqrt(6).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/35 + 6\/21. Let k(y) = -1431055*y**2 - y - 2. Let m be k(v). Let h = m + 2824224. Round h to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 694975.3 centuries?\nAnswer: 833970360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120079407 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758 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: Three letters picked without replacement from {j: 2, z: 6}. Give prob of sequence zzj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/((-231)\/(-28)))\/(2\/6). Let n = 66 + -66. Suppose 28 = -n*u + p*u. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-4))\/(7\/(147\/(-21)))*(-48)\/(-8988)?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*sqrt(300)\/sqrt(4).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157\/1045 + -3\/95. Let f be 1\/4*(-24)\/(-21). Let u be -1 + 3\/2 + (-67)\/(-402). What is the fourth smallest value in f, 0.5, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27.4 or 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 23 + 5. Let q(y) = -y**3 - 9*y**2 - 16*y - 4. Let w be q(m). Let r(k) = 8*k - 37. Calculate the least common multiple of 6 and r(w).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11564\/(-9912))\/((-14)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 - 10*j - 417. What are the prime factors of d(34)?\nAnswer: 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7051.345 to the nearest integer.\nAnswer: -7051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3 + 42357903*t**2 + 98592674*t?\nAnswer: -18*t + 84715806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222768 and 196690?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -1 - -20) + (-6 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -0.2, 1\/16, 47\/3?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 430 = 5*f - 2936, 1000 = 2*f - 4*n. Let t = -321 + f. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (6 - (-42)\/(-7)). Let m = 11 - -19. What is the common denominator of 400\/m + (p - -1) and 53\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgb. Give prob of sequence bg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 3, c: 1, s: 1, r: 1}. Give prob of picking 1 r, 1 e, and 2 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let i(f) be the third derivative of -1\/60*f**5 + 5\/24*f**4 + 0 - 7*f**2 + 0*f - 1\/6*f**3. Give 2*i(k) + 11*v(k).\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7931, 15845, 23759, 31673, 39587, 47501?\n\"Answer: 7914*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/24*1\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a hour in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6060589 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2908\/979 - 35\/89. What is the common denominator of f and -1 + 1 + (-12)\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -4 (c) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66515*n - 320 wrt n?\nAnswer: -66515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319 + 184 - 18)*(-10 + 10 - 5*u).\nAnswer: -2425*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.57676883 rounded to 3 dps?\nAnswer: -0.577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134780292.\nAnswer: 2, 3, 3743897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 48818719711.\nAnswer: 48818719711.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96482, 96510, 96538, 96566, 96594?\nAnswer: 96622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 134*v**2 - 809*v - 2. Give o(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 10875\/(-855))*-36 - 10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 51 - 211. Let i(p) = -p. Let w be i(0). Suppose -2*t + t + 11 = w. Calculate the remainder when l is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2 = -3*q, -4*p - 17 = 5*q - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.880359*0.1.\nAnswer: -0.5880359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4597*u - 3750*u - 25410 = 0 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349230529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -72*j**2 - 12*j + 12. Let s be -9*(-58)\/30 - (-4)\/(-10). Let o be b(s). What is o rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/3*129\/86?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 + 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 0.27.\nAnswer: -24, -1, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*p + 35 = 0, p - 3 = 2. Calculate the remainder when 38 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/15*(-42)\/4. Suppose 4*u + 40 = 5*d, -5*d - g*u + 80 = -3*u. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -169498, -340830, -512162, -683494, -854826?\n\"Answer: -171332*l + 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from xxcchihhchwccw.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 + v**3 - 8*v + 2*v + 12*v - 5*v + 26*v**2 as j*v**2 + r + o*v + b*v**3 + t*v**4 and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.052 - 291\nAnswer: -291.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 52*a = -5073. Let q = 268 + a. Sort -7, q, -1, 4 in increasing order.\nAnswer: -7, -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**5\/5 + 7*h**3\/3 - 5. What is the third derivative of r(l) wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 21*k**2 - 22*k + 36. Determine x(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 6*p - 7. Let v be g(7). Suppose -z + v = -3. Solve z = 2*j - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*29337\/11430 + (-4)\/10.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 63050, 4, -6 in descending order.\nAnswer: 63050, 13, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 15, h: 3}. Give prob of sequence hhrh.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54143077*a*v**3 - 5*a*v + 584273*a + 3*v**2 - v - 2 wrt v.\nAnswer: -324858462*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2831 + 2831 + 8*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 2*d - 10. Let o be m(5). Let n(f) = 3*f - 1. Give n(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 120\/14) + 96\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*b + 8, 5*u - 1 = -b + 1. Let d(t) = -2*t - 88. Let o(j) = -j - 56. Let s(k) = 5*d(k) - 8*o(k). Determine s(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 18*h**4 - 420*h**3 + 914*h**2 - 680*h + 168 = 0.\nAnswer: 2\/3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*m**3 - 47*m + 47*m.\nAnswer: -146*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2426 + -1085. Let h = -819 + g. What is the greatest common divisor of 58 and h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17989451 and 1683.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 47 + 15 + 67. What is the units digit of i(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:13 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2. Let y(x) = -1937*x**2 + 2726*x**2 - 1320*x**2. Give y(a(i)).\nAnswer: -19116*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -51, -169, -397, -771, -1327, -2101, -3129?\n\"Answer: -6*y**3 - y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-8)\/(-100)*-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13314008?\nAnswer: 2, 1664251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3006*c**2 - 2*c + 82608 - 82608.\nAnswer: -3006*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Let f = -575975\/6762 - -13\/1127. Let v = -85 - f. What is the closest to v in o, 2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -135 (c) -0.264 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 33*w**2 - 269*w - 60. Let l be p(-19). Is l smaller than -2\/387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 997 = -389. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(6\/15 + (-14)\/10). Suppose 3 = -2*v + u, -2*v - v = -2*u + 7. Let m(n) = 4*n - n**3 + 0*n**3 + v + 1 - 3*n**2. Determine m(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735 + 387 = -374*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/2)\/(18\/12). Let p(w) = w**3 + 2*w + 3*w - w**u - w - 3*w. What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 48, 69, 90, 111?\n\"Answer: 21*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3187 is divided by 291?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36 + -77)\/82)\/((1\/(-8))\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.19 and 2701406484.\nAnswer: 2701406484.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9562 and 11759894.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 8*t**4 - 23)*(-4*t + 8*t + 4*t) - t**2 + t**2 + 2*t**5 - 24*t**4 + 24*t**4 - t**5.\nAnswer: -63*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0099 * 160\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from hppwpwphhwpppjppppph?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in -2, 4, -0.3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1040?\nAnswer: 103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787*b - 20 = 785*b. What is the highest common divisor of b and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 5*w + 0*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 8 - 88. Let o be 78\/10 + (-2)\/(-10) + -1. Suppose -z = 12*n - o*n. Put -3, 22, n in ascending order.\nAnswer: -3, n, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 10. Let o be l(13). Suppose z - 16 = -o*z. Solve k = -z + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgcggxggggmcxcgcc. Give prob of picking 1 x and 1 m.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7988*s**2 + 186*s + 568. Is y(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 596 + -248. Suppose l = -h + 5*h. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15606 + -15530. What is the remainder when 2961 is divided by c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/3 (b) -6 (c) -4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015624604 to 6 decimal places.\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77038919 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3413676?\nAnswer: 2, 3, 7, 40639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33083880763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**5 + 2*v + 0*v**6 - 1\/21*v**7 + 0*v**2 + 0 - 1\/4*v**4 + 0*v**3. What is the third derivative of z(u) wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, 1\/28, -2, 39, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (-9 + 11) - -3 - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1 + 3*i**2 - 12 + 12*i - 18*i + i**3. Let c be g(-4). Let m(k) = -k**2 - 3*k + 4. Calculate m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -3 - 5\/2*v**2 + v + 1\/6*v**3. Let n(y) be the first derivative of m(y). What is n(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36060 > 36036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (2 + 5 + -21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 771598 to the power of 1\/2, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32 - -0.821553\nAnswer: 32.821553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -14, 4, 0.08, 2.6243?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11867.7372 - 1.8628. Let q = -11875.5931 - u. Let a = q - -6. What is a rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 171036964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3)*(-20)\/15)\/(2\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07206873 rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1694\/1139 + -76\/67. Which is the smallest value? (a) 0 (b) -1 (c) -4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468537 is divided by 93371?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 0.3, 4 in ascending order.\nAnswer: -4, -0.3, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(92\/(1058\/(-23))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -7. Let c(q) = -5*q**3 - 17*q**2. Let y(d) = 5*d**3 + 16*d**2 + d - 1. Let w(s) = i*y(s) - 3*c(s). Let w(j) = 0. Calculate j.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = -7*i + d, 3*i + 3*d = 0. Let x = 1 + -1. What is the lowest common multiple of -2 + x - 4*-1 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -50.8559.\nAnswer: -50.5559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2393930, -4787949, -7181968, -9575987, -11970006?\n\"Answer: -2394019*f + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - 4*k - 4. Let y(i) = -5*i**2 + 5*i + 5. Let z(v) = 4*w(v) + 3*y(v). Let f be z(2). What is the highest common factor of 11 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8750451.8 - -40801.7\nAnswer: 8791253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651411 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 45*i**3 + 35*i**2 + 140*i - 13350. Let u(k) = -5*k**3 - 4*k**2 - 16*k + 1483. Give 4*d(x) + 35*u(x).\nAnswer: 5*x**3 - 1495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m. Let v(w) = 311*w. Determine r(v(s)).\nAnswer: -4354*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1269 by -5712.\nAnswer: -423\/1904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 2.2681418.\nAnswer: 2.0681418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 13*d - 100 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10827718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h**2*p**2*w - 5*h**2*p*w - 762*h**2*p - 5*h**2 - h*p**2*w - 4*h*p*w - 6928*p**2*w - w wrt p.\nAnswer: -34*h**2*w - 2*h*w - 13856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 8*o - 12. Solve -n - 1 = -o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9210, 46253, 107998, 194451, 305618, 441505, 602118?\nAnswer: 787463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -966*d + 959*d + 14. Solve -2*k - 9 = y, -4*k - 3 = -d*y - y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194210 is divided by 64655?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -31*s - 2. Let j(r) = -15*r - 1. Let g(f) = -11*j(f) + 6*q(f). Calculate the lowest common multiple of g(-1) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 13294?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -962 - -1414. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -33*m - 1. Let u(k) = -66*k - 2. Let g(d) = -5*p(d) + 2*u(d). Let y(f) = -3*f**2 - 11*f. Let w be y(-2). Is g(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 14559.\nAnswer: -4\/14559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*c + 150 = 452*c - 901*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c522 - 6?\nAnswer: 1c51a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + 2 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - -76. Let j = -73 + l. Let o(t) = -9*t + 13*t + 15*t + j*t. Let v(m) = 2*m. Give o(v(s)).\nAnswer: 104*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.1329?\nAnswer: -0.3671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 198352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0 - 19\/120*c**6 + 31\/12*c**4 + 1\/6*c**3 + 0*c**5 - 58*c**2 + 0*c. What is the second derivative of h(w) wrt w?\nAnswer: -114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/6*33\/(-99).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30121 + -202?\nAnswer: 23313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -726474.7 to the nearest one thousand.\nAnswer: -726000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m = 8. Is ((-22)\/8)\/(m\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*a - 4*p - 7, 25 = 5*a - 3*p. Solve 3*d + 1 = -3*r - 17, -a*r - 10 = d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-2 + -1)\/9. Let a be 1\/u - 5\/(-2). Solve c + a*c + 26 = 3*t, 2*t - 4 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6812556 is divided by 211.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14716.2 + -14716. Let c be 6\/4*3356\/(-18). Let h = c - -277. Sort -5, h, y, -1\/7.\nAnswer: -5, h, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*w + 48*w + 30 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59966 at most 59966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0.1, 2, -2\/15, -0.1, 1\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.64, 1, -1, -4 in decreasing order.\nAnswer: 2.64, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.04 + 21884536\nAnswer: 21884534.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 - 2)*(4*t - t - t) - 14*t + t - 2*t)*(-1 + 6 - 3) + 12*t + 62*t - 16*t as u + r*t and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**6 + 62847*p**5 + 4*p**2 + 93103*p wrt p?\nAnswer: -480*p**3 + 3770820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10 - 2*m**2 - 2*m**3 - 11*m**2 + 2*m**2 + 14*m + 3*m**3. What is the least common multiple of a(10) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5180.104117 - 5177.274. Let y = 2.83 - s. Round y to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14633029 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 17613925?\nAnswer: 140911400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apg when three letters picked without replacement from {q: 1, g: 3, a: 1, t: 1, p: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, z: 1, r: 3, b: 7, j: 5}. Give prob of sequence bjbz.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -s. Let l = 34 - 34. Suppose l - 4 = -p. Is s bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2\/3 (c) -1\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42160*0.4.\nAnswer: 16864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 4*p + 56. Let r be a(6). Let q(x) = -2*x**2 - 6*x - 7. Give q(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1239938.925 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524440?\nAnswer: 2, 5, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14424 by -6.\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -2 + -5883 + 5819?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*z**3 - 38*z**4 - 4*z**3 - 37*z**4 - 89*z**3 + 77*z**4 + 2*z in the form j*z**3 + q*z**2 + w + b*z + f*z**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 455, 5013, 17381, 41465, 81171, 140405?\n\"Answer: 651*z**3 - z**2 + 4*z - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 - 2*z + 1. Let b be u(1). Suppose -76 = -5*o - b. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a. Let b(w) be the first derivative of -3\/2*w**2 + 0*w + 4 + 0*w**3 - 1\/8*w**4. Let z(i) be the second derivative of b(i). What is z(t(y))?\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -3, 0, 4, -2 in increasing order.\nAnswer: -3, -2, 0, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-12\/7)\/p)\/p)\/(p*p**(2\/53)) assuming p is positive.\nAnswer: p**(-1392\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 34*u + 245. Let s be o(-7). Let f(y) be the first derivative of -11\/2*y**2 + 13 + s*y. Let l(x) = -5*x + 3. Determine 4*f(m) - 9*l(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106281598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 - 2*p + 3. Let h(g) = -22*g**2 + 9*g - 13. Let f(o) = 2*h(o) + 9*j(o). Let t(q) = -2*q**2. Calculate t(f(u)).\nAnswer: -2*u**4 - 4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 2\/2*-2. Suppose -8 = -o*c - 2*q, 5*q + 0*q = -4*c + 20. Let w = -2212\/55 - -202\/5. Sort w, -2, c.\nAnswer: -2, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (469 + 142*z - 73*z - 70*z)*(-3 + 2*z**2 + 3).\nAnswer: -2*z**3 + 938*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 87 + 37 + 11728*n - 11700*n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/j**(11\/4)))\/j*j*j*((j*(j*(j**(-13)*j)\/j)\/j*j)\/j)\/j)\/((j**(2\/3)\/j)\/j*j)**(-18\/7) assuming j is positive.\nAnswer: j**(-311\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - -1*sqrt(275))**2 - (sqrt(891) + 0 + sqrt(891))**2) + -2.\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/11, 11, 1\/2, 19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 17, 18, 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f - 1. Let m(n) = n + 1. Let l = -2 + 3. Let d be (5 + -1)*l\/(-2). Let a be m(d). What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 347832?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7023 + -7023. Solve m - 28*m - 108 = g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t + 21*t + 69*t)*(-4*t**2 + t**2 + 0*t**2) - t**3 + 7*t**3 + t**3 in the form i*t**2 + w + d*t + l*t**3 and give l.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(832) + 0 - (-2*(sqrt(832) + 3) + sqrt(832)))*-3 + -4)**2.\nAnswer: 2112*sqrt(13) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34662903, 69325805, 103988707, 138651609?\n\"Answer: 34662902*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:43 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240006917 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1601743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*l + 113*l + 288 = -38*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-9))\/(10*(-14)\/105).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (9 + (-8 - 9 - -3) - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35938223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -517871 - -5?\nAnswer: -517865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-736)\/(-12) + 2 + (-14)\/6. Let h = o - -1. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/28 less than or equal to 23\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 921792700 to the power of 1\/4, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*q + 9, 16 = 5*q - 0*q + 2*v. What is the units digit of ((-63)\/(-6))\/7*q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 3*q)*(4*q + 0*q + 22620 - 22626).\nAnswer: -8*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 187.2 or -753?\nAnswer: 187.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5289521, 5289520, 5289519, 5289518, 5289517, 5289516?\n\"Answer: -j + 5289522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 157, 155, 153?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5421466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 3}. Give prob of sequence ee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 76\/3. Let j be 3\/4 - 81\/12. Let z be (12\/(-56))\/(j\/(-16)). Which is the second biggest value? (a) z (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 1865*t - 22539. What is j(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4.242, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 9. Let i(y) = 3*y - 9. Let d(z) = -3*i(z) + 4*q(z). Calculate d(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162664 minus -5?\nAnswer: -162659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 2 + 3 - 3*a + a)*(0*a - 4*a + 3*a).\nAnswer: -4*a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 234 = 4*t. Suppose -2*g = -2*q + 170, -95*g + 96*g - 73 = -q. Let n = q + t. Sort 0, 1\/3, n, 5 in decreasing order.\nAnswer: 5, n, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -29. Let w = m - 25.09. Let d = -0.45 + w. Round d to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 - 6 = 0. Let b be 2\/g - (-12)\/(-24). Solve a - 4*a + 6 = b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10517 divided by -4523?\nAnswer: 10517\/4523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 17*y + 75. Let z(r) = 80*r + 5. What is the remainder when z(1) is divided by f(15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052828 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-3\/4)*y**(8\/3)\/y*y*((y*y\/(y*y\/((y*y*y*y**(-2)*y*y)\/y))*y*y)\/y)\/((y*y**0)\/y) assuming y is positive.\nAnswer: y**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 5) + (-25 - -35).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27508.2955 + 27515. Round y to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**2 + 0*s**2 - 5*s**6 + 106*s**3 - 106*s**3 wrt s?\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2. Suppose 4*n + 7 + 5 = 0. What is the common denominator of -43\/12 and m\/8 + n\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1*(4 + 0) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 - 41*z**2 - 64*z. Let l be g(-2). Let k(q) = -q. Let w be k(-6). Solve -10 = -l*r - w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42224 or 42225?\nAnswer: 42225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 2, m: 3, d: 4}. Give prob of sequence qd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 745246038.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -4.9. What is the fourth biggest value in c, -4\/7, -1\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22410389739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, q: 4, i: 6, y: 1}. Give prob of picking 1 q and 3 i.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 - 858*t - 1712 = 0. What is t?\nAnswer: -856, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54890.99972249 - -54891. What is q rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2550 and 119238.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 18\/105 - (-504)\/(-882)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, -4, 0.077, -1 in increasing order.\nAnswer: -18, -4, -1, 0.077, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.09 and 457.141.\nAnswer: 11926.80869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3804 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 10. What is the remainder when 3 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 850eb?\nAnswer: 850e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 - 2*w + 3. Let h be c(5). Let l(z) = 2*z**2 - 676*z - 22035. Let x be l(368). What is the highest common factor of h and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -76*a + 37*a - a**2 - 6 + 37*a + 33. Let w be q(-6). Solve w*o = -0*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2201382.\nAnswer: 2, 3, 122299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 12, -c + 14 = -5*i + 2*i. Solve -c*q + 3*q - 3*j = 0, 5*j = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 19453*q + 66696. Let r(a) = -2*a - 6. Calculate c(z) + 11116*r(z).\nAnswer: -2779*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3284d (base 16) to base 13.\nAnswer: 73254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*((-136)\/(-40) - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 4 + 4)*(11*s + 8*s - 8*s) + 2*s - 2*s - 2*s to h*s + l and give h.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, r: 2, h: 6}. Give prob of picking 2 c.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Let z(m) = 2 - 3*m**3 + 2*m**3 + 0*m**3 + 3*m**2 - s*m. Let c(o) = -o**3 + 62*o**2 - 3*o + 188. Let y be c(62). Give z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*b + 6004684 - 6004684.\nAnswer: 206*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7)*756\/1134.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 2*w + 5)*(2*w - w**2 - 2*w)*(-5*w**2 - 4*w**2 - 3*w**2).\nAnswer: 24*w**5 - 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40439 + -1 + 0 + 2. Let k = -253137 + r. Let m = 92697 + k. Round m to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6712, 11968 in decreasing order.\nAnswer: 11968, -1, -6712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, -28, -41, -66, -103, -152, -213?\n\"Answer: -6*k**2 + 17*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1035817495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4. Let o(f) = -f + 6. Let a be o(3). Suppose -30*c = -56*c - 17*c - 30*c. Solve n*k = a*r + 8, -3*k - 1 + 4 = c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5*j + 6 - 2)*(90*j - 29*j + 12*j) + j**2 - j + j + (-4*j + 0*j + 2*j)*(-4*j + 3*j + 10*j) as r*j**2 + c + g*j and give r.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 126*x + 22. Calculate c(-2).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*f - 35. Suppose -3*k + f*k = 0. Which is greater: -2\/47 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3784*o**2 + 3807*o**2 - 7591*o**2 - 2*o**3 - 547*o.\nAnswer: -2*o**3 - 547*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 12:20 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3272 and -47\/16488.\nAnswer: 6743592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 + 61*y**2 + 223*y - 285 = 0. Calculate y.\nAnswer: -57, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 10692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 18, r: 1}. What is prob of picking 2 t and 1 r?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -618 + 5*n + 23*n + 597 wrt n.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 2 + 2 - 9*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ippp when four letters picked without replacement from {p: 8, i: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 9 = 5*s - 16, -9 = -2*p + s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1008 or 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y. Let r(j) = 3*j**2 - 32*j. What is d(r(i))?\nAnswer: -9*i**2 + 96*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(344\/88 + -4))\/(-1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164134 + 34*w**2 - 1164134 + 6*w**2 + 0*w**2.\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/3 (b) -38 (c) 4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.1, 0.2, 2, 3, 0.0682?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*l**3 + 1720*l**2 - 845*l + 105.\nAnswer: -5*(l - 21)*(4*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = 4*t + 6, 0 = 5*t. Let s = 0 + r. Suppose -s*o + 6 = 4*i, 3*o - i - 18 = -4*i. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 36\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/16)\/(50\/(-400))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/242 and -59\/39776.\nAnswer: 437536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 2. Let a(l) = -19. Let d(h) = a(h) - 4*k(h). Determine d(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 796265 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -735 - -732. Let w(h) = h**2 - 24 + 35 - 4*h**2 + 5*h. Let i(m) = -m**2 + 2*m + 5. Calculate f*w(u) + 7*i(u).\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 4*x)*(14 + 3 + 28).\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.061.\nAnswer: 0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 8. Give b(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 4 + 11\/2*c**2 - 2*c**3 + 16*c - 1\/20*c**5 - 7\/6*c**4. Calculate q(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*k - 3920 = -89*k + 24*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 214, 456, 798, 1246, 1806, 2484?\nAnswer: 3286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21445, 85790, 193033, 343174, 536213?\nAnswer: 772150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714977908 divided by 1564.\nAnswer: 457147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401056 is divided by 136.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 18*q - 17. Let f be o(-17). Suppose 2*w + 9 - 41 = 2*c, 3*w - c - 38 = f. Solve -n + u = 2, 0 = -5*u + 14 + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 116.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 57 = -4*q, 0*f = 5*q - 5*f + 65. Let j(x) = 2*x - 6*x - x. Let w(k) be the first derivative of -k**2\/2 - 40. Calculate q*w(h) + 4*j(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3703.9 - -3704. What is the second biggest value in 0.0484, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -3, 15, 5470 in descending order.\nAnswer: 5470, 15, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -90168 divided by 1768?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(2\/(-24)). Let s = 9 - x. Suppose -107 = -s*t + 34. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - 0.06. Let z = 20.15 + m. Let g = -20 + z. Sort 5, g, -1\/11.\nAnswer: -1\/11, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3953*a**2 - 175*a - 28. Let y(m) = 3952*m**2 + 171*m + 23. Let k(u) = 4*c(u) + 5*y(u). Find the second derivative of k(d) wrt d.\nAnswer: 7896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -2\/7 (c) -2\/13 (d) 1700\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -4.05. Let z = 2 + t. Put -0.4, 2\/5, z in decreasing order.\nAnswer: 2\/5, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}