diff --git "a/data/dm_maths/full_data/1898_11255.jsonl" "b/data/dm_maths/full_data/1898_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1898_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -1364590000 rounded to the nearest one million?\nAnswer: -1365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10838525 to the nearest integer?\nAnswer: 3292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, 2 in increasing order.\nAnswer: -21, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + -1)\/(5 + -6). Suppose -5*h = -s - 35. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649562.\nAnswer: 2, 324781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-2 - 2*k + 2)*(-1 + 2 - 2) - 6 + 6 + 3*k)*(-1 - 4 - 2)*(21 - 13 - 10) + 2*k - 2*k + k - 2)*(3*k + k - 2*k).\nAnswer: 142*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 6. Let t(h) = 2 - 5 - 2 + h. Let f = 1846 - 1840. Determine f*u(s) - 7*t(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 3*f**2 - 3*f**2 - f**3 + (f - 2*f - f)*(-2*f**2 + 0 + 0).\nAnswer: 3*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 6646?\nAnswer: 6641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 197057 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 69*k + 523*k + 7 - 14.\nAnswer: 592*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-10 - (-43001)\/21 - -6). Which is smaller: -6132 or b?\nAnswer: -6132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 21*f**2 - 78*f + 206. What is the remainder when 863 is divided by w(24)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 31, -3, 6, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (982\/5)\/(36\/(-90)) - -1. Is -492 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/91 and -53\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-2\/9)*k)\/k))\/k**(-3)*k*k**(-3\/4)\/k*k**(-2)*k assuming k is positive.\nAnswer: k**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 538*n - 25903. Give l(48).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48927834 divided by 484434?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 6*g**2 + 5*g - 1. What is the tens digit of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14318278063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 47.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c301 + 2?\nAnswer: c303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/23)*h*h*h**(-23))\/((h\/(h\/(h\/((h\/h**(2\/15))\/h*h))))\/h)**(8\/3) assuming h is positive.\nAnswer: h**(-19478\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**5\/60 - 5*g**4\/24 - g**3 + 9*g**2. Let d be i(6). Solve -2*h - 2*t - t + 3 = d, 3*t - 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v**2\/9 + 10372*v\/9 - 373536 = 0.\nAnswer: 648, 1297\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2697 in 2, 3\/50, 3, -4, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/3 - 740*c**3 + 99920*c**2\/3 + 740*c - 99922\/3 = 0 for c.\nAnswer: -1, 1, 47, 1063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1106 - 1106.869. Let p = 0.069 + t. Let y = 1.8 + -2. Is y less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 3. Let u be j(2). Suppose 237 = u*w - 2*t, 3*t - 4*t + 200 = 4*w. Calculate the common denominator of w and -6 + 6 + 71\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b - 17 - 8*b - 2*b**2 + 11 + 9. Let z(i) = 3*i**2 - 2. What is 4*o(n) + 6*z(n)?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 7*l - 1. Let h be f(-5). Suppose 0 = 4*z + 3*z - h. Suppose -4*w - 8 = 4*u - 6*u, z*w + 12 = 3*u. Solve w = -3*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*u - 6 - 0, 0 = -c + u + 4. Sort c, 6, -2, 3.\nAnswer: -2, c, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84078 is divided by 1557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 6, -4, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, 1\/3, 0.051?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, -112, -416, -882, -1534, -2396?\n\"Answer: -4*r**3 - 45*r**2 - 3*r + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 4.1. Suppose 5*f - 6 = 14. Suppose r + 5*o - 26 = -r, f*o = 4*r + 4. Sort r, 0.5, j in decreasing order.\nAnswer: r, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = 6*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -273 + 4?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from yjafddt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 3*v - 18. Suppose -k - v*k = -3417. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l + 0*l)*(6*l + 23644*l**3 - l - 23709*l**3).\nAnswer: -130*l**4 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162997054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87\/2 - 3\/4*y**2 + 93\/4*y.\nAnswer: -3*(y - 29)*(y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/14)\/((-160)\/(-560)). Solve -a*o = -159 + 143 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*f - 21. Calculate the remainder when 48 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 154, 250, 406, 634, 946, 1354, 1870?\nAnswer: 2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/28*(5 + -6 + 5). Solve 4*g - 5*i + 24 = 0, 6*g + 5*i = g + l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -8 + -11 - -1 - -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12) + (-578)\/6. Let u = 210 + a. Suppose -5*s = -132 - u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1396 (base 11) to base 3\nAnswer: 2110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5709, -8885, -12061, -15237, -18413, -21589?\n\"Answer: -3176*y - 2533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + h**2 - h - 1. Let u(p) = 45*p**4 - 54*p**3 + 26*p**2 - 6*p - 6. Let l(t) = -6*a(t) + u(t). Let l(k) = 0. Calculate k.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360720?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*1 - 13156\/(-5720)) + -2 + 2\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 1:41 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -916*l - 69605. Determine j(-76).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10917 and -27\/37603?\nAnswer: 338427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*w - 13, 0 = -5*w + w - z - 1. Suppose -g = -w + 3. Let q be 1 + 28\/24*g. What is the closest to 1 in -1, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 7*n = 3. Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 20*q - 36. Let z(f) = 12*f - 21. Let x(n) = 7*k(n) - 12*z(n). Let i(r) = 2*r - 755. Give x(i(b)).\nAnswer: -8*b + 3020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/49530 and 63\/2470?\nAnswer: 941070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 18*z**2 + 33*z + 21. Let g be n(-16). Solve -g*i + 5 = -5, -4*h + 3*i = 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.27 - -6.09. Let r = 0.02 - w. Let z = r + -0.2. Which is the second smallest value? (a) -0.1 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8 and 77\/173212.\nAnswer: 346424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 1 + 3*f**2 + f + 5 - 5*f.\nAnswer: -2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/8)\/((-3)\/4)*2. Suppose -r*j + i = 40004, 4*i = -j + i - 7988. What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008035 rounded to four dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24659*c**4 - 3113*c**3 + 382327559 wrt c?\nAnswer: -98636*c**3 - 9339*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(5 - 6) - 4. Let g be (-488)\/(-6) + (-55)\/(-15) + c. What is the highest common factor of g and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-57)\/30)\/(-19))\/((-1)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -534*z - 58 + 2194 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34269 divided by 2.\nAnswer: 34269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8824 - 8822.7. What is the third smallest value in n, -2\/15, 1\/7, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 - q + 7. Let w = 15 + -22. Let t(b) = b**2 + 6*b - 12. Let m be t(w). List the prime factors of n(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2. Let b = -7402 - -7403. Suppose -y + 6 = -4*u, -4*y = -0*y - u + 21. Let s(q) = 5*q**2 + q - 1. Give b*s(c) + y*z(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19040 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -8. Let p = l - -5. Which is the smallest value? (a) 1 (b) p (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 29*n - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-11 - -1) + 2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 4) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 110. Suppose -r*u + 2*n = 0, 0*n + n = 0. Suppose 6*a + 5*a - 770 = u. What is the highest common divisor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*g = 0, 2*b + 4*g = 3*g. Suppose b = 2*d - 2. Let q(h) = 6*h - 1. Calculate q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48\/5 of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 4*u - 10 = -2*k, 2*k - 19 = 3*u. Let p = k - -14. Let m = 37 - p. Calculate the highest common divisor of 63 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/6 + z**2\/2 + 6*z. Suppose 11 = 3*b - 10. Suppose 0 = 3*u + 22 - b. Calculate c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q - 5, -3*p = 2*q + 22. Let t(z) = -z**3 - 6*z**2 - 6*z - 1. What is t(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + 4714.\nAnswer: 4715.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16.3 (b) 4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 16*r**2 + 51*r - 9. Let t be w(4). Put t, 7, -4, -2, -1 in descending order.\nAnswer: 7, t, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12.91. Let g(n) = n**3 - 7*n**2 + 8*n - 7. Let m = -622 + 628. Let t be g(m). Which is the second smallest value? (a) -2\/7 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -113?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -395?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -3 - (-6 - 0). Suppose y*a - 61 = -25. Is ((-15)\/a)\/(2\/(-66)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*n**3 - n**2 + 217 with respect to n.\nAnswer: 81*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*w + 81*w + 67*w + 80*w - 2 + 85*w.\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*z + 110*z + 80 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 14}. What is prob of sequence yry?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -11. List the prime factors of 0*t\/6 + 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = -10*s. Let a be 1*((s - 21) + -3)*-1. Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -36\/5*d**5 + 20 + 0*d + 7\/3*d**3 + 0*d**2 + 0*d**4. Find the third derivative of i(u) wrt u.\nAnswer: -864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 13 + 9 + 0.\nAnswer: 3*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 56 + 306 = 0. Suppose g - 121 = -5*s + 174, 2*s - g = l. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = d, 5*i + 2*d + 10 + 2 = 0. Let z(u) = -u**3 - 5*u**2 - u. Let h(l) = l**3 + 5*l**2 + 2*l + 1. Let k(y) = -6*h(y) - 5*z(y). Give k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.41 - -2.39. Let x = -22 + z. Let b = 0 + 0.1. What is the closest to -1 in x, b, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/606 and -97\/78.\nAnswer: 7878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*i - 6, 15*i = 19*i + 2*k + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 78*m - 92*m. Put 4, 1, 12, m in descending order.\nAnswer: 12, 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 5)*(449 + 641*g - 640*g + 82)*(5 - 4 - 3)*(-4 + 6 + 1) to m*g + k and give k.\nAnswer: -22302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12208 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13840 bigger than 13840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:51 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/4 (c) 10 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from ggggrggrggrggggo.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 2}. What is prob of sequence rrp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25743*a - 3263011 = -50*a for a.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3910)\/(-75) - (-6)\/(-45). Let o = a - 47. Suppose -o*w + 0*n = -n - 124, -2*w - 5*n = -55. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b + 13. What is i(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 3, o: 3, n: 6}. What is prob of picking 1 c and 2 n?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84079 is divided by 3291.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -148367\/4 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -535, -533, -531?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.2944 (c) -88 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 264*m + 327 - 10095 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2684*v - 26972. Calculate g(-9).\nAnswer: -2816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8193.99041 to 1 dp.\nAnswer: 8194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/(((f\/((f\/(f**(1\/6)*f))\/f))\/f*f)\/f)*f)*f*f))*f*f\/(f\/(f*f**2)*f))**(22\/5)\/((f**(-1))**33\/(f**(6\/7)*f**(1\/6))) assuming f is positive.\nAnswer: f**(3973\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, -613, -610, -607, -604, -601?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5866 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g**3 + 0*g - 1\/5*g**5 + 1\/2*g**2 + 0*g**4 + 5. Find the second derivative of a(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 37427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25510412 + 25510409.9999963. Let i = m - -2. Round i to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let k = 353\/6 + -59. Which is the nearest to -1? (a) 2\/11 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Calculate the remainder when 8 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4 = 5*f + 14, -21*f + 17*f - 6*k + 2*k = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1077 - 51 + 2773*d**2 - 2749*d**2 - 38*d - 14*d wrt d?\nAnswer: 48*d - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420410 (base 5) to base 13\nAnswer: -63ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f = -273. Let r be 14\/f + (-1512)\/(-26) - 3. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28679203261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99330*q**2 - 6*q + 6193?\nAnswer: 198660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2502042, 5004105, 7506154, 10008183, 12510186, 15012157, 17514090?\n\"Answer: -h**3 - h**2 + 2502073*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -7) + -3 + (3 - 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -404, -605, -804, -1001, -1196?\nAnswer: -1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkkbbbkkbbbkkbkkkkbb. Give prob of sequence kbbb.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.677 + -0.084.\nAnswer: 0.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2581732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 152 - 4427?\nAnswer: -4265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, 152, -25 in ascending order.\nAnswer: -25, -2, 2, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22163767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 56 = 11*f. Let y = 50 + -8. Calculate the greatest common divisor of y and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:05 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*i - 150 = 5*t + 243*i, 4*i + 36 = -t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 2*j**3\/3 - j**2 + 8*j - 8. Let w be c(-7). Suppose -2*l - 2*k + w = 12, k + 44 = l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7)*x**(-5\/6))\/(x*(x**(-2\/7)*x)\/x)**(-32) assuming x is positive.\nAnswer: x**(907\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 33. Let l be (-6)\/c - 3\/6. Let g be ((-2)\/(-3))\/((-12)\/36). Are g and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 1 i when three letters picked without replacement from {v: 1, f: 7, i: 4, n: 1, u: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 7*j**2 + j + 16. List the prime factors of x(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1794 + 5*b + 11*b - 2*b + 1670 to the form x*b + m and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h - 10*h**2 + 8*h**2 + 2*h.\nAnswer: -2*h**2 + 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1 + -5 + 1 + 0. What is the smallest common multiple of 63 and (-189)\/(-15)*(g\/(-2) + 2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 256 (b) 695 (c) -0.13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*a + 220 = -1082*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4431 (base 14) in base 13?\nAnswer: -54ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 + 33*z**3\/4 - 485*z**2\/4 + 117*z\/2.\nAnswer: z*(z - 9)*(z + 26)*(2*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:10 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (20250\/(-275))\/(-27)*(-132)\/(-10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(175) - -5*(-1 + sqrt(175)))*-1 - 2*(-3 + sqrt(175)*1)*2) + -3)**2.\nAnswer: -11560*sqrt(7) + 203456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3*c - 5*c + 6 + 1 - 2 to o + s*c and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n - 1843 - 3498 = 4349 for n.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1) + -5 - -3. What is the common denominator of 65\/116 and (3\/m)\/((-351)\/(-988))?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 12 = 2*b. Suppose -b = 4*m + 4*x, 3*x + x + 12 = m. Suppose m*j - 474 = -6*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -637*k + 502. Is g(-31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1115 = 5*h + 4*m - 3053, -4*m + 1556 = 4*h. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 17*i - 5*i - 3*i - 4*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12\/665 - 8479\/1330. Calculate the common denominator of z and -57\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 3*f + 105. What is the units digit of p(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lta when three letters picked without replacement from gtgatgaaltttggg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-1 - 2) + (-39 - -36))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 + 5 = 3*l, -m - 3 = 0. Let n be l\/6*(-68)\/357. Suppose -22 = -2*w - 6*a + a, -2*a + 12 = 4*w. Is w not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(27))**2 - (sqrt(9)\/(sqrt(3) + sqrt(6)\/sqrt(2)))**2) + (3*(-1 + sqrt(192))*-1)**2 + 2.\nAnswer: -144*sqrt(3) + 6737\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1532 and 1131981778?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 3:12 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-5)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404259349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -210 + 256. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 - 144. What is the units digit of (-131)\/(2\/1 + f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/7 (c) -16\/883 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2545)\/(-1527)*(-2223)\/(-5). Which is smaller: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-1)\/262*2*1). Suppose k + g - 141 = 0, -2*k - 4*g - y = -6*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 15112023?\nAnswer: 15112024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51566.67 months to centuries.\nAnswer: 42.972225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r - 7. Calculate the remainder when 75 is divided by t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 25144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (16 - (-60 - (-1 + -37))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101 - -81 - (-1 + -14 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:29 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + -3 + -8 + 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + 132\/(-15)*(-20 + (-6105)\/(-286)). Determine w, given that -6\/13*w + i*w**2 + 4\/13 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-30))\/(4\/10). Which is the closest to u? (a) -5 (b) 5 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1. Suppose 0 = 34*n + 24*n - 62*n - 40. What is the closest to -2 in 2\/11, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((964920\/(-400))\/731)?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -24*x**3. Calculate y(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + d)*(d**4 - d**4 - d**4) + (3 + 1 - 5)*(-9*d**5 - 148 + 148).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/5 (b) -986 (c) -1\/3 (d) -0.05 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54291560.\nAnswer: 2, 5, 73, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(363) + ((sqrt(90)\/sqrt(6))\/sqrt(5))**2.\nAnswer: 3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 45873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (2 - 6\/3). Let m(y) be the first derivative of 8 + 6*y - 1\/2*y**2. Give m(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -4 - -2)\/(-1). Let x(d) = d**2 + 4*d + 6. Let r be x(-5). Suppose -r - 21 = -2*m. Solve p + m = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 14*f - 10. Let c be u(16). Suppose -3698 = -c*g + 6862. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -27. Differentiate -1 - 23*k**3 - u*k**3 + 46*k**3 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7645 * 0.0935\nAnswer: -0.35198075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -23, -36, -49, -62, -75?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 527, 554, 603, 680?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -2\/7 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -268 + 257.3. Let f = 11.5 + a. Sort 5, f, 4 in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2412 divided by 804\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5301, 10767, 16401, 22203, 28173, 34311?\nAnswer: 40617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001 - -11010101011?\nAnswer: 11100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 2. Let n be p(6). Let m be 4\/n + 38\/14. Let y(v) = -v - 2*v**3 - 4*v**3 + 7*v**m. What is y(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-five halves of a millennium?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + p + 25, 22*h - 4*p - 144 = 19 + 105 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -3*y**2 - 120*y - 91. Let q be c(-21). What is the greatest common divisor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 5*a - 6*a - 5, 4*a - 4 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 144\/130 + ((-39)\/(-104) - (-94)\/(-80)). Which is the second biggest value? (a) -1\/4 (b) 6\/7 (c) m (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 8*w - 13. Let p be b(-12). Suppose -q + 94 = m - 90, -p = -2*m + q. What are the prime factors of m?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**2\/2 + n - 3. Let b(d) = d - 2. Let v be (-1 - 1)*(-4)\/(-8). Calculate v*b(r) - 2*h(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75520079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -31. Suppose d = 8*c - 190. Calculate the remainder when -2 + 648\/10 - (-3)\/15 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/16 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213*v + 122*v + 108*v)*(0*v - 3*v + 2*v) - 2 - 2*v**2 + 2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 235 = -f - 249, -9*g + 3*f = 66 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -1\/4*c**5 + 5\/12*c**4 + 15\/2*c**2 + 12 - 2*c + 25\/6*c**3. What is d in j(d) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113331023012 - -11?\nAnswer: 113331023023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59776*b**4 + 158*b**2 + 179.\nAnswer: -1434624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 + 171. Put -4, 3, q, 30 in decreasing order.\nAnswer: 30, 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11)*-1 - sqrt(11)) + 4 + sqrt(68) + 1)**2.\nAnswer: 15*sqrt(17) + 253\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**7\/126 - 7*l**6\/90 + 3*l**5\/10 - 5*l**4\/9 + 4*l**3\/9 + 2*l. Find m such that v(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4070\/9 + -455. Find the common denominator of 20\/3*(-1)\/4 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4146318*-0.5.\nAnswer: 0.7073159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*k + 25, -k - 12 - 8 = -4*m. Suppose 6 - 1 = m*r. Let i = 71\/15 + -39\/10. Which is greater: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 802\/365, -5, 0.1 in ascending order.\nAnswer: -5, 0.1, 802\/365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -1183, -2043, -2909, -3787, -4683?\nAnswer: -5603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/5 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1000981 - 69708. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1560722, -1560706, -1560690?\n\"Answer: 16*n - 1560738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*v + 713580 = -258*v. Does 47 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eujuuuehu. Give prob of picking 1 e, 1 j, and 1 u.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 3014, 5741, 8466?\nAnswer: 11189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a - 207*a**2 + a**3 - 30*a + 16*a + 207*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22809, -22872, -22935, -22998?\nAnswer: -23061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 7, o: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2 - 6*u - 9. Let h be f(-3). Let z = -46 - h. Which is the closest to 0? (a) z (b) 5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -37781313*a. Let b(w) = 2*w**2. Determine b(h(u)).\nAnswer: 2854855224007938*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 14. Let l(a) = 566*a**2. Determine l(o(v)).\nAnswer: 2264*v**2 - 31696*v + 110936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:54 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3933*h - 13624. Give p(-4).\nAnswer: 2108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 0.1 (c) -5 (d) 429\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 - 138. Calculate the lowest common multiple of 4*(-8 + 6 + 46\/8) and (3\/i)\/(((-20)\/(-4))\/30).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16888, -33707, -50462, -67123, -83660, -100043?\nAnswer: -116242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24124 + -10?\nAnswer: -24134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7741, 30967, 69679, 123877?\n\"Answer: 7743*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 84714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1348039\/10 or -2?\nAnswer: -1348039\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 945, 947, 949?\n\"Answer: 2*w + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2, -265143, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008740517 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790474?\nAnswer: 2, 7, 17, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -1\/12 (c) 24 (d) -1\/2 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -785, -1350, -1877, -2354?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6655)\/1430)\/(-121)*(-8)\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 9*c - 2. Let i(d) = d. Let t(h) = 3*i(h) - r(h). Let z(a) = -2*a**2 - 25*a - 4. Let o(b) = -13*t(b) - 6*z(b). Give o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:41 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b + 13*b**5 - 6*b - 17*b wrt b?\nAnswer: 260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 + 16 = 2*b, b + 3*l - 4 = 0. Suppose -b*n + 16 = -5*n. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-16)*-242*(-16)\/6. Calculate the highest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 174 = -3*p, -3*p - 4*r - 236 = -7*p. What is the remainder when 3638 is divided by p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3017, -3048, -3073, -3092, -3105, -3112?\nAnswer: -3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = -44. Let k = u + -13. Calculate the remainder when 24 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 5*s + 655 - 112 = -441 for s.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-5)\/(-20)*(-2)\/6)\/((-1242)\/(-275724))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7087 = -a + 4*i, -6*a + 5*i + 7092 = -5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-12)\/(-51)*(-273)\/364).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 times -12.853?\nAnswer: -3007.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x - 2. Let v be s(5). Let p = v + 4. Let n(z) = z**3. Let u be n(1). What is the nearest to u in -5, -1\/5, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toottataoo. Give prob of sequence ao.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 times -517?\nAnswer: 139073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 92331620 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 17*j**2 - 16*j + 10. Suppose -11*c - c + 192 = 0. Let w be s(c). Calculate the highest common divisor of 40 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2687267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. What is the closest to -0.2 in 0, 0.1, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.704883m?\nAnswer: 0.000704883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f = 55*f - 12 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -91. Let c be i + (-4 + (-210)\/2 - 0). Is (-5)\/(c\/(-4)) + 1940\/22 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.6, 2\/75, 0.4, -1\/3, 4235 in descending order.\nAnswer: 4235, 0.4, 2\/75, -1\/3, -6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-30))\/(21\/504*-6).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4\/3, -5, -11\/3 in decreasing order.\nAnswer: 4\/3, 0.4, -11\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 33*d - 10*d)*(2*d - 7*d + 3*d) + 12*d**2 - 3*d + 6*d - d.\nAnswer: -38*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -4*x + 8, -3*x - 23 = -4*a. Let j = 6 - -1. Suppose -2*d + j*d = -a. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434 = 149*u - 162 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 - 3 + 3 + 26*m**2 - 4.\nAnswer: 40*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4072 - 4077. Let k(j) = 21*j - 1. Let w(i) = i. What is v*w(p) + k(p)?\nAnswer: 16*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1)\/g)\/g**2)**(-4\/21))**10)**(-20) assuming g is positive.\nAnswer: g**(-3200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-13)\/((g*g**(18\/7))\/g)*g*g\/(g**(-4\/17)\/g)*g\/(g\/(g\/(g*g**12)))*g assuming g is positive.\nAnswer: g**(-2777\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 16 = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 1302*q - 6 = 1299*q, 3*q = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 3*d + d**2)*(-3*d + 2 - 2 + 10)*(0*d - d - 3*d)*(2 + 7 - 4) as h*d**3 + p*d**4 + l + j*d**2 + o*d and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*a**2 + 8*a + 697 wrt a.\nAnswer: 78*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2268.56 - -2220. Let h = n + 0.86. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 303 + 0*i + 1\/3*i**3 - 7\/2*i**2. Let p(g) = -g + 9. Let j be p(4). What is h(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/6*4\/5*(-40)\/16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(4 - 1 - 2)*(-35 - 46 - 6)*(0 + y + 0).\nAnswer: 174*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/64 and -13\/8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**3\/3 - 3715*h**2\/14 + 1062*h\/7 - 55. What is n in m(n) = 0?\nAnswer: -531, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - -0.18. Let i = -48 - -142\/3. Which is the third smallest value? (a) 0 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2\/7 - 18903*b\/7 + 18906\/7 = 0. Calculate b.\nAnswer: -6302, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -272*h**2. Let n(p) = -70*p**2 - 154*p - 154. Let r(a) = 2*a**2 + 4*a + 4. Let q(b) = -2*n(b) - 77*r(b). Determine q(j(x)).\nAnswer: -1035776*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 23 + 22\/45*d**3 - 1\/3*d**2 + 2\/75*d**5 + 0*d - 7\/30*d**4. Find g, given that k(g) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a decade in months?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3008834727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130694?\nAnswer: 2, 101, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 0.065, 5, -4, -0.14?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6567*c**2 - 6633*c wrt c?\nAnswer: -13134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807933717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Let o(v) = v + p*v + 8*v. Let w be o(2). Calculate the greatest common factor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/32)\/((-3)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 0 (c) 762611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 at most 15647\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) + 1)*-6 + (sqrt(187)*3)\/sqrt(11) - (sqrt(833) + 1 - sqrt(85)\/sqrt(5)*-4).\nAnswer: -13*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-14))\/(3\/12*432\/(-1134)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t + 1. Let d be i(-2). Solve j = -4*j - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:15 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -105623 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from wwuuwuwwuwwwuuwuuuuw?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**7\/280 - 5*t**4\/24 - 8*t**2. Let n(z) be the second derivative of a(z). Let f(s) = 2*s. Calculate n(f(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 24, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.46, 0.5, -1.1, -5, -0.212.\nAnswer: -5, -3.46, -1.1, -0.212, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 185\/74 + 5\/(-2). Let u(c) = -c + 2 - 7 + 2*c. What is u(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p. Let h be z(1). Let d(g) = -6*g - h - 2*g + 4. Does 9 divide d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (359 + 132 - 75)*(-2*g**2 + 3*g**2 - 2*g**2)*(0 - 2 + 3).\nAnswer: -416*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -341, -685, -1053, -1457, -1909, -2421?\n\"Answer: -2*a**3 - 330*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031120103 (base 4) in base 5?\nAnswer: 122012331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.8\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 - -194. What is the third biggest value in -0.2, -241, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54 and -462.58 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2180 and -35\/1962?\nAnswer: 19620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -13 - 29. Let k = 8 + p. What is the least common multiple of 16 and k?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = 22*u - 408. What is the remainder when 1198 is divided by u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217 times -2.17?\nAnswer: -0.47089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 221200201230?\nAnswer: 221200201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30571*v**2*y**3 - v*y**3 - 3*y**3 - 238 wrt v.\nAnswer: -61142*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13465471*i**2 - i**3 + 13465471*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 168498 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and -25\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1))**(-30)\/(((n\/(n\/n**(-2\/3)))\/n)\/(n**(-3\/7)\/n)))**(2\/51))**37 assuming n is positive.\nAnswer: n**(46990\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49028 and 23386356?\nAnswer: 23386356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526105.\nAnswer: 5, 7, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09635004 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x + x)*(-933 + 3052 - 1588 - 2868 + 3*x).\nAnswer: 6*x**2 - 4674*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 921556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsssswsswswsssswwss. Give prob of picking 1 s and 1 w.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 480, 631?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -24\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:26 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*z - z + 8, 0 = -5*l - 3*z + 13. Let a(o) be the first derivative of 2*o - o**l + 2 - 2\/3*o**3 + 1\/2*o**4. Factor a(q).\nAnswer: 2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:45 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f, -5*f + 1075 = 4*z - 591. Let y = z - 434. Put 1, -13, y in ascending order.\nAnswer: y, -13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j**2 + 390*j + 1120. Determine y(46).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1493155.\nAnswer: -1\/298631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4085, -4125, -4163, -4199?\n\"Answer: s**2 - 43*s - 4043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344 = -79*d - 920 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 - 149. Suppose -5*p + 5 = -k*d, 0 = -3*d - 4*p + p + 3. Solve -2*s - 3*s - 15 = d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**5\/20 - u**4\/4 + 3*u**3\/2 - 23*u**2\/2 + 13*u. Let r(k) be the first derivative of f(k). Factor r(v).\nAnswer: -3*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5 + -5 + sqrt(1900) + 0 + (-1*sqrt(304)*-1 - (0 + sqrt(304) + -2)))*5)**2.\nAnswer: -1500*sqrt(19) + 47725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*h - 6*f + 4, -3*h + f + 10 = 0. Find the first derivative of -j**4 + 0*j**4 + 4 + h*j**4 - 6 wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*a + l + 23, -5*a = -3*l - 48. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199383 (base 10) in base 9?\nAnswer: 333446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (1 + -5 + (sqrt(3) - sqrt(12)\/sqrt(4)) - (-1*(-1 + sqrt(108)) - sqrt(108)))**2)*4.\nAnswer: -1440*sqrt(3) + 5424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5061*h - 2236*h - 3 + 3.\nAnswer: 2825*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiixiix. Give prob of picking 2 i.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5658 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28673 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24541880 < 24541879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -5, 3\/7 in descending order.\nAnswer: 0.9, 3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -5\/4 (b) 1\/5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 1267*z**3\/3 + 313*z**2\/2 + 1031. Find the second derivative of k(d) wrt d.\nAnswer: 2534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7004 = 49*z - 444. What is the greatest common factor of z and 798?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b91 (base 13) to base 15.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-18)\/(-45))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d**2 - 2*d. Let m(b) = -5*b - 12. Let q(v) = -14*v - 32. Let u(w) = 8*m(w) - 3*q(w). Calculate i(u(x)).\nAnswer: -64*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3570\/(-40))\/((-44)\/32 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*8\/(-3) - -2. What is the highest common factor of 198 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4528.105 litres?\nAnswer: 4528105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23871\/11 - -2170. Does 24 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8272, 8479, 8832, 9337, 10000, 10827, 11824, 12997?\n\"Answer: d**3 + 67*d**2 - d + 8205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/60 - 7*x**5\/30 + x**4\/4 - 7*x**3\/6 - x**2 + 8. List the prime factors of y(7).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 70.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1181\/13 + (-6)\/(-39). Suppose -6*v - 5*p + 62 = -2*v, 0 = -4*v - p + 54. Calculate the greatest common divisor of d and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 44 = 4*q. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 + 311403*m - 1245615\/4.\nAnswer: 3*(m - 1)*(m + 415205)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653.1538nm to kilometers.\nAnswer: 0.0000000006531538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 2*t = -211, 5*t + 423 = 2*j. What is the remainder when j - (-5)\/(-30)*6 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f + 12. Let r(o) = -3*o - 14. Let n be r(-6). Suppose -444 = -n*y + y. What is the least common multiple of g(0) and y?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/110*((-21)\/777 + (-554)\/37).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1402 + 2093. Is a*2*(-3)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21018 and 8091.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (34\/(-102))\/((-1)\/9). Solve a = f - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615050 is divided by 170?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a - 260. Give d(19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 969*k**2 + 379*k - 1905. What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + -2788\nAnswer: -2789.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10799, -10753, -10693, -10613, -10507, -10369, -10193, -9973?\n\"Answer: u**3 + u**2 + 36*u - 10837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 6 - 14. Let n(r) = 3*r - 2. Is n(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 1.26, 0, -0.3 in increasing order.\nAnswer: -4\/5, -0.3, 0, 1.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i - 6*i**3 + 18*i + 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3192*c + 3196*c - 6387*c - 45.\nAnswer: c - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11647183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13099, -55970, -127433, -227488, -356135, -513374?\nAnswer: -699205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33, 0.1, 2151.1, 3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8432 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, v: 7}. Give prob of sequence iviv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/4))\/y)**(-1\/31)*((y\/(y*y**25))\/y)**(-23) assuming y is positive.\nAnswer: y**(74155\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -28*d + 61. Let f be g(2). Let t(o) be the first derivative of -2\/21*o**6 - 9\/14*o**2 - 4\/7*o**f + 0*o - 10\/7*o**3 - 10 - 37\/28*o**4. Factor t(p).\nAnswer: -p*(p + 1)**2*(2*p + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-1)*6 + sqrt(76) - 6*(sqrt(76) - (2*sqrt(76) + sqrt(76))))\/(-3*sqrt(400)*-4).\nAnswer: 5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6103 and 10\/17.\nAnswer: 6103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417624517 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-21)\/(-6))\/((-4)\/(-8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 3*l**5\/20 + 2*l**3\/3 + 12*l**2. What is the derivative of c(k) wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 14. Let y be w(-6). Let s be ((-6)\/15)\/((-62)\/60 - -1). Does 11 divide 0 + (s\/(-3) - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.23 - -13.84. Let v = t + -0.07. Let o = 27 - v. Sort -3, 3\/2, o in descending order.\nAnswer: 3\/2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701 = 9*o + 647. Suppose -o*r + 2*g + 196 = -2*r, 3*r - 158 = -4*g. Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 28*n**2 + 1. Let h be b(1). Let j = h - 20. Let l(o) = 4*o**3 + 3*o**2 - o - 1. Let r be l(1). Solve j + 1 = r*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 14.368?\nAnswer: -19.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2110*z - 221. Is c(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*x**4 + 2 + 5*x**2 - 2 + 0*x**4 wrt x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/7))**(1\/15)\/((y*y**(-1\/6)\/y)\/y)**45 assuming y is positive.\nAnswer: y**(2209\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**4\/24 + 2*o**3\/3 + 2*o**2. Let f be z(6). Does 7 divide 1\/3*(49 - f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -abd (base 14) in base 12?\nAnswer: -1293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 49*k + 9561. Calculate s(-193).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 5*a**4\/12 + 3*a**2 + 2*a. Let x(f) be the first derivative of y(f). Let b(q) = -q**2. Calculate b(x(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 26097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*s - 28 + 28)*(s**2 + 3*s**2 - 2*s**2 + (3*s**2 - 5*s**2 + s**2)*(1 + 0 - 2) + 1 - 1 + s**2).\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2096 by 2096.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 489.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1706*f - 1700. Let y be x(1). Solve 2*s - y = z, -188*z = -193*z + 3*s - 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/5 + 1 + 1606\/(-8030).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -51132 in ascending order.\nAnswer: -51132, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180 + -37. What are the prime factors of s?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f. Let m(a) be the second derivative of a**7\/840 + a**4\/6 + a. Let b(k) be the third derivative of m(k). What is z(b(c))?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/((-15)\/40). Let t be (-3)\/(1 + (-10)\/f). Which is the closest to -1\/2? (a) -1 (b) t (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2318 and -71\/6954?\nAnswer: 6954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1537 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g + 286 + 117 + 182 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/12)\/(397\/(-132) - -3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1728369.8 + 276415.8. Let t = -1451954.6100138 - y. Let f = t + 0.61. Round f to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*u - 486, -5*u + 226 = 5*q - 379. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -228*a + 250*a - 1340878. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16534 and 59050?\nAnswer: 413350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 145400\/(-65) - -1 - 2\/26. Is i greater than -11179\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/240 and 89\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8092 - (-5)\/(25\/(-9))*(-50)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2479390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 1 + 2*s**2 + 2*s**2 - 2*s**2 + 3*s**2. Let p be o(-2). Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 5 + 1 - 1 - 40*n + 7*n**2 - 54.\nAnswer: 7*n**2 - 40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -15 and -83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - (-18 + 30)) + 24.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028813565?\nAnswer: 5, 405762713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 32*p - 11*p + 2*p**2 - 22*p)*(-13 + 17 + 50).\nAnswer: 108*p**2 - 54*p + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709013?\nAnswer: 3, 569671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.6187262 rounded to 2 dps?\nAnswer: 19.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 804859275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*z + 3*x, 7*z - 25 = 2*z - 4*x. Solve 2*l = 5*b - l + 19, 5*b - z = -5*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171835?\nAnswer: 5, 34367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 14, 5, 1, -7 in ascending order.\nAnswer: -69, -7, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*y + 23*y - 66*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 459, 893, 1327, 1761, 2195, 2629?\n\"Answer: 434*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*c + 27309 + 23203 = 247*c for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-2) - (-13 + 10). Let j(l) = -l - 14. Give j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6286, -12546, -18806, -25066, -31326, -37586?\nAnswer: -43846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 + 367 - 367.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 493512729 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/20 and (39\/(-104))\/((-1)\/(-36))*(-132)\/(-1800).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1879689207 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 9*s - 1 + 4*s. What is the remainder when m(5) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 times 0.05?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 != 565192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o**2. Let s(m) = m + 4. Let g be s(2). Let z(x) = 22*x - 10*x - g*x - 7*x. What is z(a(i))?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 1, 31, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 + g + 3. Let j be 2 - 3\/(6\/4). What is the remainder when 7 is divided by k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2575, -4542, -6525, -8524, -10539, -12570, -14617?\nAnswer: -16680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.78 - -0.02. Let r = q + -0.8. Let s = 2 - 1.9. What is the closest to -3 in r, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iniiirirniarsra. What is prob of picking 2 i, 1 s, and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 7 - 5*y + 3\/2*y**2. Let m be k(3). Solve -m*p - 4*g = 0, -2*g + 7 = -3*p + 2*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 812*x**4 + 0*x**2 - 7*x**3 - x + 823*x**4 to the form y + q*x**2 + o*x**3 + f*x + l*x**4 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/4311 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1932564 and 3865128.\nAnswer: 3865128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b - 105. Let v = b - -121. Calculate the greatest common factor of v and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 3, h: 2, o: 3, n: 3, a: 1}. Give prob of picking 1 a, 1 z, 1 c, and 1 o.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 12*s - 4. Let f be 1 + 0 + (-3 - 12). Is 6 a factor of g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 2, e: 2, v: 7, q: 4, n: 1}. Give prob of sequence pvx.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -t + 1406, 0 = 3*t - 4*z - 2549 - 1644. Let f be 533\/39 - (-4)\/(-6). Calculate the highest common factor of f and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/8 + -25\/56. Let s = 6614 + -6610. Sort s, z, -4 in decreasing order.\nAnswer: s, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 134516*p**4*s - 203968*p*s + 2*p wrt p.\nAnswer: -20*p**3 - 1614192*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -10. Let b = 26 - v. Suppose 1071 + 497 = 16*r. What is the remainder when r is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 2*p**2 + 146*p - 1208. What is l(9)?\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, 59, 0.5 in ascending order.\nAnswer: 0.2, 0.5, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 48*q + 41*q + 20263000 = 0. Round q to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Evaluate (-7 - -4) + 4 + -9 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1675 + -1660. Let v(w) be the second derivative of w**3 - 47*w**2\/2 + w. What is the remainder when v(d) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1.740409213.\nAnswer: -1.640409213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978589953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 152.3303881.\nAnswer: 149.3303881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201160)\/(-3995) + (-7 - 43)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 62\/(-10) - (-18)\/((-94770)\/1183)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -49d (base 14) to base 11\nAnswer: -76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Let u = -1 - s. Let p be (66\/15 + (-340)\/85)*15. Sort u, p, 4 in decreasing order.\nAnswer: p, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101224477 at most 101224479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.138, -4\/9, 3\/563?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100120 minus -174966626?\nAnswer: 172866506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*z + 2, 2 = 4*z + d + d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -2, 5, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 21. Let u(i) = 4 + 18*i - 6 - 4. What is the remainder when u(d) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/14)\/y)**22\/(y**(-13)*y*y**(-33)\/y))**(-5\/4) assuming y is positive.\nAnswer: y**(-1005\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05012 and 0.43765.\nAnswer: 0.021935018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 3:34 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**3 - 15*y**2 + y + 7. Let r(i) = -10*i**3 + 22*i**2 - i - 10. Let k(p) = 7*q(p) + 5*r(p). What is the remainder when k(5) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50710.\nAnswer: 2, 5, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.003 in 0.108, 2, 74?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29380, 27200, 25014, 22822?\n\"Answer: -3*m**2 - 2171*m + 31554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5 - 162*y**4 - 2013*y**3 + 4866*y**2 + 2016*y - 4704 = 0.\nAnswer: -28, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.8, 1\/5, -4.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2717 = -129*u + 110*u. Which is bigger: 141 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14373 by -1.\nAnswer: 14373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -4 (c) -95 (d) 0.5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*h + 3*l, -2*h + 2*l = -h - 6. Let k(j) be the second derivative of -j + 1\/2*j**3 + h + 5\/2*j**2. Give k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15229.\nAnswer: 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1031118, 57 in descending order.\nAnswer: 1031118, 57, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-22 + 9)) + -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -2*w**2 + 0*w**4 + 0 - 1\/60*w**5 - 1\/120*w**6 + 0*w**3 + 0*w. Find i such that h(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 678 and 1130.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 6. Let i = s + -3. Solve 5*x - i = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15504 at most 15505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 5*f**2 - 4*f + 2. Let p = 4 - 8. Let l be u(p). What are the prime factors of -4*(l + -2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 325204949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (10 - (8 - -14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 42. Let c be g(-10). Suppose -3*y = -n - 6, c*y = -n - 2*y + 8. Solve 4*s - m + 2 = n, -3*m - 3 = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 96?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -47 (b) 70\/13 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 9 (c) -5 (d) -2\/19 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Suppose 10 + 18 = 4*j + 2*o, -4*o = 4*j - 24. Let a = j + -3. Solve -5*n + 15 = a*y, g = 3*n + 4*y - 2*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-104)\/(-18) - (-4)\/18. List the prime factors of (m\/2)\/((-6)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6296+0.5\nAnswer: -6295.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, l: 3, j: 1, u: 1, s: 2}. Give prob of picking 1 c and 1 u.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {j: 2, p: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14))\/(4\/192*6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 15 + 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3808 * 0.291.\nAnswer: -0.1108128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110*(-11 - (19 - 3*(-882)\/(-90)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10549 and 0.3.\nAnswer: 3164.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/12 - 5*h**3\/9 + 14*h**2\/3 + 32*h\/3 - 395. Factor b(g).\nAnswer: -(g - 4)*(g + 1)*(g + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1 - -2)*-1. Let p(u) = 3*u**2 - u - 1. Let z be p(v). Suppose -2*t = z*t - 155. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/15, 2, -4\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 20. Calculate the highest common divisor of 52 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/(-10) - 5)*1495\/46.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 5*h**4\/6 + 2*h**3\/3 - 78*h. Let f(y) = -y**2 - 7*y + 5. Let u be f(-6). Let w(r) = 29*r**2 + 11*r. What is u*l(n) - 4*w(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - (-260)\/(-25))\/((-2)\/5). Let p be 2 - -3*(0 + 1). Find the third derivative of -9*u**2 - w*u**p + 3*u**2 - 21*u**2 wrt u.\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 3000140?\nAnswer: -3000142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 30 = 19*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -58, -103, -186, -319?\n\"Answer: -2*w**3 - w**2 - 2*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 238.34402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 135283*f**3 + 42845*f**3 + f**2.\nAnswer: -92438*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 22\/4*8. Sort -6, 0, b in ascending order.\nAnswer: -6, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1348*v - 41. Let i(q) = 1155*q + 41. What is -7*i(u) - 6*j(u)?\nAnswer: 3*u - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 25 = -1. Suppose -58 = 4*n - j*n. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -4 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*t**3 + 30*t**2 + 756 - 279*t.\nAnswer: -3*(t - 28)*(t - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5) + 1 + 126 + -86.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + 451?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -318\/5 - -64. Let d = 4096 + -4096.4. Sort -1\/9, h, d in descending order.\nAnswer: h, -1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1741a (base 11) to base 10.\nAnswer: 24463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -4*(sqrt(110) - sqrt(110)*2))\/(6*sqrt(160)).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353, 788, 1219, 1646, 2069, 2488?\nAnswer: 2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1005 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460, -469, -482, -499, -520?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2. Let a be p(1). Let r(j) = 1990*j**3 + 4*j**2 + 4*j - 8. Let d be r(a). Round d to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - -5) + -24 + (-25 - -38).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 0 + -1)*708\/(-30) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8))\/(3\/2). What is the biggest value in 2, -2\/3, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44810694 divided by 3\nAnswer: 14936898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 16 + 10*y + 3*y**2 + 1\/3*y**3. What is the units digit of a(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 89. Let f(c) = -8*c + 29. Let z be f(k). Solve 5 = -z*b - 4*o, -b - 2*o = 2 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 + 7*y + 20. Let j(c) = 4*c**2 - 2*c - 4. Let q = 1 + -5. What is the remainder when j(q) is divided by w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*w**2 - 11 + 11.\nAnswer: 117*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18.03399 * -3\nAnswer: -54.10197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1069365959\/18 - -59431387. Suppose 5*a - 5*w + 110860 = 0, 10*a - 14*a - 4*w = 88712. Let q = m + a. What is the common denominator of -99\/10 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 11 - (20 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f + 5*u - 25, -2*u = -10. Suppose f*x = -21*x + 14574. What are the prime factors of x?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -37*a + 96. What are the prime factors of l(-10)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17495, 17491, 17487, 17483, 17479?\n\"Answer: -4*a + 17499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48748.32ml in litres?\nAnswer: 48.74832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -64.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 + 199. Suppose 0 = -h + 3 - 1. Sort x, h, -3, -1.\nAnswer: x, -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 16740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -1727b?\nAnswer: 1727c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 632 - 358. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 - 10*y**2 + 23*y**3 - y**2.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 0*i - 5*i + 7*i. Let q(n) = 2*n**2 - 3*n + 3. Let p(d) = -3*d**2 + 5*d - 5. Suppose -29 = 3*b - 14. Let t(x) = b*q(x) - 3*p(x). Determine o(t(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15add5e - -3?\nAnswer: -15add5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10605 is divided by 354.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(76) + (sqrt(76) + -2*sqrt(76) + -4)**2 - (5*(sqrt(1216) + 1) + sqrt(1216) + -2 + sqrt(1216)*-1)**2).\nAnswer: -121268 - 888*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*i + 4*i. Suppose -i*d = 2*d. What is the biggest value in -3, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212155*k - 975*k**3 - 212155*k)*(4 - 4 + 10*k).\nAnswer: -9750*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -2\/3, -3, -0.21, -678, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127700 divided by -5.\nAnswer: 25540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 161184429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 5 = -7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 + -417. Suppose 2 = -3*u + 38. Calculate the greatest common divisor of w and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*i + 3. Which is the closest to 1\/2? (a) -1\/5 (b) -2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:56 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Let d(l) = -l**3 + l**2 - 3*l + 2. Let w be d(g). Is 0.1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/3)\/(-5)*(-63)\/(-18)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144210 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2230321 (base 5) to base 15\nAnswer: ba5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) 1\/8 (c) 3\/4 (d) -318 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268842261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m + 5. Let t be a(4). Suppose -3*j = -2*j - t. Let q = 89 - j. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**2 - 6*d - d**3 + 5*d - 5*d**2 + 3. Let z be q(3). Suppose y + r = -y + 136, -5*y + 4*r + 314 = z. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + -1 + 1 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3577, 7215, 10847, 14473, 18093, 21707, 25315?\nAnswer: 28917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2389 or 1501939\/629?\nAnswer: 2389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*b - 28*b - 3.\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*a - 55, 5*a - 2 = -4*j + 1. Let l(y) = -y**3 + 7*y**2 + 2*y - 2. What is the smallest common multiple of l(j) and ((-6)\/9)\/(2\/(-24))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 27. Solve 0 = 3*j + 6, 4*i + n*j - 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2635126 (base 10) to base 4\nAnswer: -22003111312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 1, t: 2}. Give prob of picking 1 f and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.09242 or 25?\nAnswer: 4.09242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 893 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 14.1.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(16)\/sqrt(8))*4 + 0 + -5)**2 + 5.\nAnswer: -80*sqrt(2) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/1163 or 0?\nAnswer: 19\/1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -73, -215, -467, -865, -1445?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2858534 is divided by 632?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*d**3 - 33*b**2*d - 2*b*d**2 + 104*d**3 - 3*d**2 wrt d?\nAnswer: 12*b**2 + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268900848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-9 - (-635)\/70). Calculate the highest common factor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 - 10.8. Let z = -15.5 - x. Let b = 2.5034 + z. Round b to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 3375 + 9793 = -6427. List the prime factors of l.\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1956*h**2*p - 16*h**2 - h*p*t - 2*h*t + 4*p*t + p - 309*t + 2 wrt p?\nAnswer: -1956*h**2 - h*t + 4*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -4*w**2 + 0*w**5 + 0*w + 1\/180*w**6 + 1\/315*w**7 + 0*w**4 + 0 + 0*w**3. Factor s(m).\nAnswer: 2*m**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4)*i*i\/(i*i**(1\/14)*i)*i*i**(-2\/15)\/i*i**(-3))\/((i**(1\/8)*i)\/(((i\/i**(-2\/5))\/i)\/i*i)*i**2*i**(-6\/7)*i*i) assuming i is positive.\nAnswer: i**(-8461\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (5 + -7 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 3*o**2\/2 + 3*o - 1. Let u = -235 + 239. Determine y(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i. Let l be f(2). Let h be (-27)\/45*(-6 + 1). Solve l*y + h = -1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -87*a - 116. Let x(v) = v + 1. What is l(u) + 116*x(u)?\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72453 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 1932.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*j + n, 0 = j - 3*n + 6*n + 3. Let q = j + -3. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19102 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What is the highest common factor of 477 and 39803?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192510 is divided by 10694.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 94\/(-4) - (-8)\/16. Let q = a - -11. Is q\/(-54) + (-124)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -29*r - 26. What are the prime factors of t(-8)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -266857\nAnswer: -3\/266857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 9*c**2 + 14*c - 2. Let a be n(10). Let u = 57 - a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.1 - 10.1. Which is the closest to t? (a) 0.3 (b) 14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -1. Let p = 6 + f. What is the nearest to p in -0.1, -2\/7, -6\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s\/((s*s**2)\/s)*s*s)*s))**(-13)\/(s\/(s**3*s)*s*(s\/(s*s*s**(-8)*s*s)*s)\/s) assuming s is positive.\nAnswer: s**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = r + 4*r - 135, 0 = 3*r + 6. What is the remainder when (14\/(-105)*-9)\/((-1)\/405*-6) is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. What are the prime factors of b\/(-2)*2224\/(-12)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184135120 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {g: 1, f: 4, w: 1, b: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1008\/(-40))\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -315, -673, -1093, -1605, -2239?\n\"Answer: -5*f**3 - f**2 - 320*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197.16 - 197. Put f, -0.9, -0.3 in increasing order.\nAnswer: -0.9, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 times 8\nAnswer: -2504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 43. Let x be y(20). Let g be (-1)\/(6\/18*-3). Put x, -2, g in ascending order.\nAnswer: x, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 2. Let w be c(4). Suppose 1 - 7 = -w*i. What is the common denominator of (i\/(-2))\/((-1)\/(-13)) and 22\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d - 51. Suppose -2*q = 2 - 8. What is the remainder when ((-65)\/(-4))\/(q\/12) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -459859 + -462111. Let x = -515334 - i. Let z = 2636636 - x. What is z rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71107, 71104, 71099, 71092, 71083, 71072?\nAnswer: 71059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0 - 3 - 6*q - q**2 + 11*q. Calculate l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53300 divided by 130\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from -12084.\nAnswer: -12085.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-5)\/((-50)\/8). Suppose 20 = o*l - 4*i - 0*i, -4*i = -20. Let s = 10 - l. Which is the smallest value? (a) 0.5 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2, -65 = -y + 2*z + 38. Let b(w) = -4*w - 50. Let f be b(6). Let q = f - -85. Calculate the greatest common divisor of y and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b - 18*b + 25*b - 1 - 1 + 4. Give d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(-1)*-6. Let o = -3 - -15. What is the remainder when 1\/n - (-312)\/9 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*(-22)\/6 - -3. Let r = 14 + -5. What is the greatest common factor of j and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + 1. Let v be (-5)\/10 - (-5)\/2. Let i be h(v). Let w be 3*(i\/3 - -3). Sort w, 4, 1.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38443?\nAnswer: 37, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2)**(-4\/23))**(-10) assuming u is positive.\nAnswer: u**(-40\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - ((-5 - -2) + -13)) + (34 - 36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1546379, 6185585, 13917619, 24742493, 38660219?\nAnswer: 55670809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000289931 to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/3 - f**2\/2 + 3*f + 1. Let g(p) = 9*p + 65. Let o be g(-7). Suppose 5*j = -5*c - 10, -5*c - o*j = -2 + 6. What is v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/2*(273\/(-637))\/((-6)\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -605. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**20*r)**(-3\/5)*(r*r*r**(-19\/4))\/r**(-1\/27) assuming r is positive.\nAnswer: r**(-8269\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + 347 + -132 + -145?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 24\/13 (c) 2\/11 (d) -2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 + -39)\/(-220))\/(11 - 10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.046 - -7.954. Suppose 0 = -5*l + 2*l - 15. Which is the biggest value? (a) -0.1 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*b**2 - 278*b**2 - 131*b**2.\nAnswer: -630*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, 0.2, 2014, -2\/21, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from bbllblblbbblb.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 518, 776?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -21*o - 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = j - 5, -2*m = 3*j - 5 + 10. Suppose -m*s = -38 + 18. What is the closest to s in -1, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89, -184, -279, -374, -469?\n\"Answer: -95*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) - (sqrt(2016) - 2*sqrt(2016)*-6))*4)\/(6*1*sqrt(1152)*5).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((8 + 82)\/(-9) - -25)\/(-1). Let o = 9 - 1. Let j = o - f. What is j rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3404.289 rounded to 0 dps?\nAnswer: -3404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*w + 4 = -3*c, c - 10 = -4*w. Suppose 4*j**4 - j + j**3 - c*j**2 + j**3 - 2*j**4 - j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqa when three letters picked without replacement from tqtaxq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*z + 128*z - 3640. Suppose 3*p + 166 + 181 = 5*q, 3*q - 5*p = 205. Suppose -b + 3*b = q. What is the highest common factor of z and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27880a (base 13) to base 16.\nAnswer: -eabab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/3 - 8*q**3 + 26*q**2 + 61*q + 49. Let o(h) be the first derivative of s(h). Determine u, given that o(u) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6)*(-2 + 4). Solve j + 0 = -r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*k - 36 = 0. Suppose 21*n = k + 24. Suppose -n*q - z = -50, 3*q = 7*q + 3*z - 104. Solve 2*y + q = -3*a, -4*a = -9*a - 3*y - 37 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 3*o - 1. Let p be r(2). What is the common denominator of -87\/16 and (0 + p)\/(((-88)\/(-34))\/1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2067 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 87\/9 - (-2)\/(-3). Differentiate j + 248*v**2 - 248*v**2 + 17*v**3 - 4*v**3 with respect to v.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 928\/256 - 3\/(-8). Solve -l*h = 1 - 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtii when four letters picked without replacement from rigrttgtgrigggr?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6400865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5783244 times -0.8?\nAnswer: -4626595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368862398?\nAnswer: 2, 7, 169204457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5 - 7. Suppose b*u - 35 = 37. Let g = -36 + u. Solve g = -a - 2*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 196074, 195954, 195824, 195678, 195510, 195314, 195084?\n\"Answer: -i**3 + i**2 - 116*i + 196190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-294)\/15 + 4\/(-10). Let v be (-1*1)\/(4\/n). Let y = v - 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/44)*x\/x**(-20)*x assuming x is positive.\nAnswer: x**(969\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6456?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672947 is divided by 16727.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4. What is the remainder when 23 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09202 * 0.007\nAnswer: -0.00064414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -135.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**3 + k**2 - 10*k - 17. Calculate the remainder when r(6) is divided by 116.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 114*h + 318. Is 19 a factor of u(-124)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -16*o + 6. Put -8, o, 0, -2 in increasing order.\nAnswer: -8, o, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131342859, 131342856, 131342853?\nAnswer: 131342850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 2722 = -2606. Which is the second smallest value? (a) 2\/5 (b) -23 (c) -0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-4)\/20*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 8. Suppose 4*s = h - 2. Suppose 7 = -j + 5*j - s*m, 5*j - 7 = 2*m. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (-2*sqrt(121))\/sqrt(11))*3 + sqrt(88)\/(sqrt(8) + sqrt(64)\/sqrt(8) + sqrt(8)) + 5)**2.\nAnswer: 280*sqrt(11)\/3 + 8849\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 398, 908, 1642, 2612, 3830, 5308?\nAnswer: 7058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -154596 > -20870332\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -196*p + 1138. Give j(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2*11\/(-858). Which is the nearest to 0.2? (a) l (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*g + r + 20 = -784*g, r + 11 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*d + 17 = 7*t, -4*t - 5*d = -30. Let x(u) = -u + 5. Suppose 7*j = 3*j. Let l be x(j). Solve 0*s = -2*r - t*s + 17, -l*r = -5*s + 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -40\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -17\/19, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 - 4085?\nAnswer: -4048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -2*r + 6*r. Suppose 352 = 2*v - 5*o, -2*v - 3*v + 880 = o. Calculate the remainder when v is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3\/19 (b) -3 (c) 0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 greater than 2707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1128?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -547, -2\/93, 1, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 2\/3 (c) -2 (d) 3 (e) 2\/2927\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = -0. Is 2*m - (0 - 20) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*c - 3*x, -x - 14 = 5*c - 73. Suppose -7*h - 31 = -1263. Calculate the highest common factor of h and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let z be v(11). Let p = z + 2. Let k(o) = o**3 + 5*o**2 + 2*o - 2*o**2 - 2*o**2. Let w(n) = -2*n**3 - 3*n**2 - 5*n. Give p*k(u) - 3*w(u).\nAnswer: -2*u**3 + u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39361*o**6 + 2*o**4 - 57*o**2 - 2*o + 24.\nAnswer: -4723320*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 5 (b) -0.5 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*j - 539. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i - 16 = 0. Let y = 4.63 + -0.13. Let a = -4 + y. What is the second biggest value in 0, a, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 34778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*w - 428, w - 5*z + 114 = 11. Let m = w + 88. Solve -i + 4*i + 3 = m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 64 = 4*m. Solve 0 = 4*y - 4*b + m, y + 5*b = 5*y + 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let d be ((-3)\/(-4))\/((-105)\/(-40)). Which is the third biggest value? (a) h (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 48*r + 32*r = -7*r. Let t(m) be the second derivative of 0 + 7*m + r*m**2 + 2\/15*m**3 + 1\/60*m**4. Let t(g) = 0. Calculate g.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 * 1.61\nAnswer: 74.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90a237 + 9?\nAnswer: 90a245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0649 + 0.2649. Let s = 0 + -0.2. What is the fourth biggest value in d, -0.3, 4, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 87*t - 82*t + 32, b = -2*t - 11. Let h(q) = 1. Let v(i) = i - 2. Let w(j) = -5*h(j) - v(j). Calculate w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 227*v**2 - 107*v + 8. Let i be p(114). Put i, -7, 3 in increasing order.\nAnswer: -7, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1018132, 1018120, 1018100, 1018072?\n\"Answer: -4*i**2 + 1018136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-20))\/(-4 - (-1939)\/490). Suppose 24 + 6 = 5*r. Let w be (r\/7)\/(1\/7). Calculate the highest common factor of t and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 836843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 523 = -3*l, 4*l = 10*d - 15*d + 656. Suppose 53 = -58*i + l. Solve -4*c = 5*x - 23, -x = -3*c + i*x - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 + 9*t**3 + 16 + 24*t**3.\nAnswer: 23*t**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1470329 by -12.\nAnswer: 1470329\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1322*y. Let q(k) = 2*k. Calculate m(q(v)).\nAnswer: 2644*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0*w**3 - 3*w**3)*((-2*w - w + 5*w)*(-2 + 6 - 2) + 3*w + w - 2*w) + (0*w**2 - w**2 + 2*w**2)*(0*w**2 - 2*w**2 + 4*w**2).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -2)*(5*-3 + 0). Suppose 4*y + 4 = -5*k + 1, -2*y + 3*k = -n. Solve -y*t - 4*c = -3, 4 + 0 = 2*t + 2*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803719 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 6 = -20*k. Is 396 - (k - (-3 - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5570 = -71*a + 31698. What is the highest common divisor of a and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -367 >= 459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27754 is divided by 867?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**2 + 9*k**2 - 2*k**2 to o*k**2 + j*k + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - o - 57 = 24, -44 = -3*j - 4*o. What is the remainder when 27 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12060.61 rounded to the nearest one hundred?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1305 by 4.\nAnswer: 1305\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/13 (b) -13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3460965 or -18?\nAnswer: -3460965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378 is divided by 1375.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u + 3*u - u + (-2 + 2 - 2)*(3*u - 2*u + 2*u) + (2 - 2 - 1)*(u - 2*u + 0*u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 1. Let x(y) = 2*y**3 + 7*y**2 - 6*y - 10. Let h(v) = 2*v**3 + 6*v**2 - 5*v - 9. Let n(u) = 7*h(u) - 6*x(u). Determine -2*n(f) + 6*w(f).\nAnswer: -10*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004068155 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1440 and 1024?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 57. Let f = -245 - -457. Suppose 0*g + f = 2*g. Calculate the remainder when g is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.435396 * 0.08\nAnswer: 0.03483168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 89118.39 centuries?\nAnswer: 8911839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(4 - 2 - 1) + 0 - 1 - 1 - 1 + 1 - 2 - 4 + 5 - 2)*(-2083*h + 715*h + 2 + 931*h)*(2*h**4 + h**4 - h**4).\nAnswer: 5244*h**5 - 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35354 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - 6. Let q = -460 + 480.95. Let t = q + u. Round t to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 26*y**2 + 17*y - 37. Let a(t) = 9*t**2 + 5*t - 13. Let h(g) = 11*a(g) - 4*c(g). Let l be h(-3). Sort -5, l, 15 in increasing order.\nAnswer: -5, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:41 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95089740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10280000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**3 - 3*o**2 - 17*o - 30. Calculate d(-2).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, m: 9}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29230 and 117830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/184919 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -0.3, 75, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 4*x + 2. Let g(j) = -6*j**2 - 7*j - 3. Let o(u) = 3*g(u) + 5*p(u). Let i = -40694 + 40696. Determine o(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9) - (-2)\/3. Suppose 0 = 8*o - 3*o - 4*b - 97, l*o - 46 = 4*b. Let h(w) = 2*w**2 + 17 - o. Let p(v) = -2*v**2. Give h(p(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:31 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*x**4 - 64*x**2 + 17127*x?\nAnswer: -840*x**2 - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 2:24 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**(5\/3))\/d*d\/(d**(3\/4)\/d))\/(d**(-1)*d\/((d*d**(2\/11))\/d)))\/((d*d\/d**0)**(-4)*(d\/d**6*d)\/(d**(1\/8)*d)) assuming d is positive.\nAnswer: d**(3667\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1229530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 5 + 9*b - 20 + 29*b + 32.\nAnswer: 38*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muaaauammmajyttjaaam. Give prob of picking 2 t and 1 u.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 11 + 4. Calculate the common denominator of 38*(-2)\/64 - s and 19\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 64*v**2 + 4*v + 64.\nAnswer: -4*(v - 1)*(v + 1)*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1124030241 (base 6) to base 8\nAnswer: -57555221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2 + -1 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 1125?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 212. Let c = -64 + u. Let h = c - 25. Solve -5*y - h = -3*l - 6, 3*y - 5*l = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 + h**4\/24 + h**3\/6 - h**2. Suppose 2*u = -5*u. Calculate c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -12. Suppose -5*y + 2*b + 17 = 0, y + b - 21 = -3*b. Let n = y - 3. Calculate the remainder when a is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 193, 385, 585, 799, 1033, 1293?\n\"Answer: c**3 - 2*c**2 + 191*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*y - 1\/3*y**3 + 0 + 2*y**2.\nAnswer: -y*(y - 12)*(y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c + 30600 = 23*c. What is c rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55561463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-379 - -2)\/((-3)\/(-12)). Let f = w - -3165. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, q: 13}. What is prob of sequence lql?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 9. Calculate l(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165912671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3439967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.35 take away 1.4?\nAnswer: -20.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20042942921950265.0000073 + -20042943832937179. Let r = 910986809 + c. Let k = -105 - r. What is k rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(-2 + 2 - 2*i**2)*(3*i + i - i)*(-2*i - 8*i - 11*i) + 0*i**4 + 4*i**4 - 3*i**4 to p*i**2 + o*i**4 + x*i**3 + h*i + z and give o.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 18. Let h be k(7). Suppose f = -v + 210, 6*f = h*v + 4*f - 635. Let o(l) = -211 + v + l. Let q(n) = -15*n**2. Calculate q(o(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77698.\nAnswer: 2, 53, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 49*m**4 - 51*m**4 - 19*m)*(-1 - m + 1).\nAnswer: 2*m**5 + 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*g + 103*g + 99*g + 13091 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:48 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = 2*j. Suppose -4*d = -3*d. Put 3, j, d in decreasing order.\nAnswer: 3, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 751, 2538, 6019, 11758, 20319?\nAnswer: 32266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 2 - 2 - 2*b + 2*b + 2*b + (-b + 2 - 2)*(-2 - 3 + 3) - b + 0*b + 3*b)*(-2*b + 5 + 3*b - 11) in the form g*b + y*b**2 + f and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.9 in 2\/3, -4\/11, -6, 7, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*(-2)\/50*-10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 90 - 2)*(19 - 17*k**2 - 19) - 3*k**2 - 20 + 20 as r + c*k + v*k**2 and give v.\nAnswer: 1510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 23*d - 13. Let q be ((-8)\/(-3))\/(-4)*-15. Let a(m) = -m**2 + 12*m - 11. Let z be a(q). What is the tens digit of g(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9640204397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4 and 1013*(-2)\/(-84) + (-66)\/231?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 69 = 9. Let z be g\/(-4) - 9\/(-6). Let t = 0 + 0.2. What is the nearest to 2\/5 in 0.5, z, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.46522 from -5454.\nAnswer: -5451.53478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*d - 2*q - 0*q, -d + 8 = 2*q. Let k = 9 - 9. Suppose k = y - d*y + 10. Solve y*j = -0 + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(20)*5) + sqrt(720) + -1)**2 - 3*(sqrt(605) - sqrt(605)*-2).\nAnswer: -105*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/23? (a) 1 (b) -192 (c) 4 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*-2*(-56)\/(-336).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2882 and -125\/142068?\nAnswer: 204719988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2. Let r(w) be the second derivative of w**6\/144 - w**4\/12 - w. Let p(t) be the third derivative of r(t). What is p(c(s))?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216651 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3496\/57)\/23*-4*5\/(-80).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1888 and 53\/24.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119 or -330575?\nAnswer: -330575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4022169 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741598*c + 370796*c + 370799*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2 - 4 - 5) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -394776737.4935 and -14?\nAnswer: 394776723.4935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4233*s**4 + 52678*s**3 - 5*s**2 - 198769*s + 50 wrt s.\nAnswer: -101592*s + 316068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8907 + 2c?\nAnswer: 8936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -54*v**2 + 2 - 2 + 51*v**2. Let z(m) = -5*m**2. Give l(z(b)).\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4*(-2)\/4)\/((-46)\/(-115)). Solve -4 = l*t - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/10)\/(24\/36)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4222*o + 148552. Determine a(-35).\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549793294?\nAnswer: 2, 17, 2213, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 3*t**4 + 4*t**4 + (0*t**2 + 0*t**2 - 4*t**4)*(2 + 1 - 4) - 2*t**4 + 2*t**4 + t**4 + 16 - 19*t**4 - 16.\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l - 14. Let p be d(-4). Let s be (-22780)\/50 - p\/5. Let j be 5 + (-3)\/3 - s. What is j rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/3729 and 79\/891.\nAnswer: 100683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2379 - -2379.1. Sort 2\/7, -1.2, g in ascending order.\nAnswer: -1.2, g, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 0 - (-1 + -53).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767685431 a multiple of 3203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2205524 weeks in seconds?\nAnswer: 133390.09152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*y = -10, 3*x - 4*y = 4*x + 6. Let b(g) be the second derivative of g + x*g**2 + 0 + 0*g**3 + 1\/6*g**4. Find the first derivative of b(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*r**2 - 4*r**2 - 2*r**2)*(5*r**2 + 4 - 4 - r**2 + r**2 - 2*r**2 + (-7*r + 2*r + r)*(-6*r + 2*r + 2*r) + r**2 - r**2 + r**2)*(3 - 2 + 0).\nAnswer: -12*r**4 - 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2946)\/11 - 30\/165. Let w = 311 + x. Calculate the remainder when 100 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1545 + 1547. Let i(s) be the second derivative of -1\/70*s**6 + 0*s**3 - 3\/35*s**5 + 0 - 1\/7*s**4 - 3*s + 0*s**d. Let i(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 16 = 16*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 92495707*c\/2.\nAnswer: c*(c + 92495707)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 81. Sort n, 0, 4, 0.6.\nAnswer: 0, 0.6, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 498 = 13*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2 - 7*o + 30. What is s(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b478 - 8?\nAnswer: -b481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 392 = -10*y. Suppose 0 = -y*u + 45*u + 20. Let q(f) = f**2 - 5*f. Calculate q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g + c - 2*c, 4*g + 5*c = 28. Let j = g - 0. Suppose 4*d + 193 = 5*u, -5*u - j*d + 204 = -7. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -16*d**2 - 7. Let t(h) = -5*h**2 - 2. Let j(z) = -z - 2. Let m be j(0). Calculate m*y(i) + 7*t(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 480298601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -12. Let z = 24 - h. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99547, -5, 2\/13 in increasing order.\nAnswer: -99547, -5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 - (-8 - (-19 + (1 - -37)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15293711 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*t - 3*t + 19*t)*(-2*t**4 + 3*t**4 + t**4 + (2*t - 3 + 3)*(-2*t**3 + 4*t**3 - t**3) + 1 + 2*t**4 - 1).\nAnswer: 192*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530131, 1060243, 1590355, 2120467, 2650579, 3180691?\nAnswer: 3710803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.01 bigger than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9275 - 9272. Solve -p*q - 2*i = -4, 5*q + 4*i + i = 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*s**2 - 2*s**5 + 49*s**2 + 57*s**2 + 3*s**3 + (-95 + 95 - 26*s**2)*(-2*s**3 + s**3 + 0*s**3).\nAnswer: 24*s**5 + 3*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 8. Is n less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**8\/26880 + f**7\/1680 - f**6\/320 + f**5\/120 - 7*f**4\/6 - 13*f. Let h(l) be the third derivative of z(l). Factor h(g).\nAnswer: -(g - 4)*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948722, 1897034, 2845348, 3793664, 4741982, 5690302?\nAnswer: 6638624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(1700) + -2) + 0) - 6*(sqrt(34)\/sqrt(2) + -4)*5*-2.\nAnswer: -232 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - i**2 + 2. Let c(h) = 66*h**3 - 3*h**2 + 6. What is c(a) - 2*s(a)?\nAnswer: 64*a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2363437440 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u - 12. Let l be ((-6)\/u)\/(3\/4). Let z be (-2 + 2)\/(1 - 0). Solve z = -i - l*a - 9, 5*a + 1 = -4*i - 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 79 - 4\/(-6)*12\/(-8). Suppose -4*f - 9*f + z = 0. Let b(t) = 1 + 16*t + 5 - f. Let x(g) = 2*g. Give x(b(s)).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = a. Suppose -3*o + u = -u - 258, a = 4*o - 3*u - 343. Is (o\/(-4))\/(2\/(-2)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1931380 = -11*d + 426074. Let b = d - -65646. What is b rounded to the nearest 1000?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*y + 336 = 539*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:35 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 8, s: 1, i: 1, g: 1, p: 9}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose -m - 4*d + 6 = -3*m, -21 = -s*m - 4*d. Suppose -151 = -m*p - 34. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-4)*m*m)\/m**3)\/(m**(1\/3)\/m*m*m**(-3\/10)))\/(m*m\/(m**(3\/8)*m)*m**3*m**(-2\/15)*m\/(m*m*m*m*m**0*m)) assuming m is positive.\nAnswer: m**(-101\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11238?\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -375.00005432 + 375. What is c rounded to 6 decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38.05 + 27406\nAnswer: 27444.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562.277617 rounded to the nearest integer?\nAnswer: -1562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -4, -0.27, 2\/13, 21.9, -182?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000197608 rounded to six decimal places?\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) -8121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + o + 1. Let c(y) = y**3 + 16*y**2 - 3*y - 1. Give -c(z) - 3*x(z).\nAnswer: -z**3 - 10*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 2*b + 11, 0 = 5*k - 4*b + 7 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(121)*2)\/sqrt(11) - ((sqrt(132)\/sqrt(4))\/sqrt(3) - (sqrt(110) - (sqrt(110) + (sqrt(110) - (sqrt(110) + -2*sqrt(110)))))\/sqrt(10)).\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458881.\nAnswer: 3, 29, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33218037037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/382247382 and -125\/312747858.\nAnswer: 3440226438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64189, 255158, 573439, 1019032, 1591937, 2292154, 3119683?\n\"Answer: 63656*d**2 + d + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -26. Let n = h - 3. Suppose 3*x = -0*p - 3*p - 21, 5*x - 15 = 0. Sort n, -3, p in descending order.\nAnswer: n, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v - 21. Is ((-14)\/v)\/((-4)\/(-54)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.139 - -37.\nAnswer: 36.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*o - 253*o = 252*o - 300 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b - 96. Calculate the least common multiple of 24 and r(-25).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(833) + -5) + -3 + (0 + sqrt(833) - sqrt(833) - sqrt(833)) + sqrt(833) + 1)**2.\nAnswer: -910*sqrt(17) + 20994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 2793.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69784 is divided by 9267.\nAnswer: 4915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - 14.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 12*q**3 + 12*q**2 + 15*q**2 + 2 - 28*q**2 as w*q**2 + o*q + h*q**3 + c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610.35*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15635\/4737 greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.66 (b) -5 (c) -8\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 - 4)*(t + 0*t - 2*t) + (-5 + 2*t + 5)*(0 + 3 - 2) + 1 - 1 + 4*t)*(-1 - 2*t + 1)*(1 + 5 - 4) as c*t + x*t**2 + a and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2 (c) 0.54 (d) -420\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*o - 225 = -4*r, -2*o + 300 = 4*r. Calculate the common denominator of 9\/12*470\/r and 85\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/56)\/(-5)*(203\/42)\/29?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*q - 5 = 0, 5*u + 20 = -5*q - 0*q. Let y = 3.5 - 3.1. Let o = -6 - -5.8. Which is the third biggest value? (a) u (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 293*s + 2. Is t(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/75 + -176\/975. Let d be (-1135)\/21 + 14\/(-21) - 2. Let k = d + 57. Which is the second smallest value? (a) k (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.821384 - 0.035716. Round v to 1 dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 6. Let f be n(-4). Let m(q) = q - 2 - 4*q - q**f - q**3 + 0 - 3*q**2. What are the prime factors of m(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104931.6 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from llwlwllllllllwlllww.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8706179 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < -2653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, -77 in decreasing order.\nAnswer: 10, 4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*x - 200*x - 197*x = 293*x - 38874 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-30)*3*6. Let o = 11 + -5. Is 17 a factor of -122*(r\/o + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24346 + 45286. Let y = -20945.3042 + t. Let z = y - -5.3. Round z to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 504\/1260 - (-104)\/(-310). Sort -1\/6, h, 11\/3, -6, 0.2.\nAnswer: -6, -1\/6, h, 0.2, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 < 556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 18*l**2 - 2*l - 35. Let p be n(-18). What is the tens digit of (-1)\/(p\/41*(-4 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.380427999 and -4?\nAnswer: 0.380427999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3953155, -7906376, -11859597, -15812818, -19766039, -23719260?\nAnswer: -27672481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*t - 21, 3*t - 4 = 3*x - 22. Is -3 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -84. Let k(x) = -w*x + 7*x**2 + 3*x**2 + x**3 + 0*x**2 + 13. Let q be k(-11). Solve 4*m - 5*c - q - 7 = 0, -20 = -m + 5*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - -9. Let s(r) = 5*r + 3. Let y be s(0). Suppose 0*k - y*n = 2*k - 135, 0 = 4*k - 3*n - 243. What is the remainder when k is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 255 = 4*l - 109, 2*b = -3*l + 11 + 272 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -3, 3, 0 in descending order.\nAnswer: 3, 0, -3, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**3 + 1\/8*p**4 + 0*p + 3*p**2 - 1\/20*p**5 + 0. Factor o(c).\nAnswer: -3*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -915 - -1459. Suppose b = 3*l - 4409. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. Suppose -4*h = 16, -s + 2*h + 14 = 2*s. Let y = 12 - 1. Solve x*o + w = -y, s*o + 0*o - w = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*b + 292, -2*b = y + 3*y - 238. Calculate the remainder when 114 is divided by y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 16*u**3 + 2*u**3.\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let l(x) = -x - 1. Suppose 3*r = -4*z + 1, 0 = -4*z - 0*r - 4*r. Let q(w) = w - 3. Let k be q(4). Give k*y(b) + z*l(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*h**3 - 90*h**3 - 97*h**3 + 61 in the form q + u*h**2 + o*h + w*h**3 and give q.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -28 in descending order.\nAnswer: 4, -18, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 125968.9 times 0.5?\nAnswer: 62984.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 3609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -0. Let p(j) be the first derivative of -7 - j**2 - 1 + 0 - 2*j**i. Let y(n) = 3*n. Determine p(y(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 45302424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -282, -287, -292, -297, -302?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h. Suppose h = -2*k + 3*t + 63, -7*k + 2*k - t = -132. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3\/4 + 4405*w**2\/2 - 972400*w + 1936000 = 0. Calculate w.\nAnswer: 2, 880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2*1) - -3. Suppose -9 = -3*r - 4*d + 5, -v*r = -2*d. Let y(f) = f**r - 3*f + 3*f. Let z(t) = -2*t**2. Calculate y(z(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-11)\/v**10*v**(-1\/5)*v\/(v**(2\/13)*v) assuming v is positive.\nAnswer: v**(-1388\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42077.9908324 + 42078. What is k rounded to four decimal places?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j. Let s be u(1). Let p(i) = 6864*i**3 - i**2 + 11*i - 23. Let f be p(s). Suppose 116357 = -6*x + f. Round x to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872800229 to the power of 1\/3, to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let n(j) = 133*j. Determine a(n(u)).\nAnswer: 17689*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 8*d**2 - 9*d - 10. Let w be g(-7). Suppose -w*u + 24 + 33 = 3*v, -9 = -2*u + 5*v. Solve -2*q + 4 = u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24042 take away 1.4?\nAnswer: 24040.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6929424579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away -10847.59?\nAnswer: 10847.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15\/(24\/(-8)))\/(-5) - (-1 - 4155)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 1, -11, -27, -47?\n\"Answer: -2*z**2 - 2*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40515.\nAnswer: 3, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 times -6.427?\nAnswer: 1407.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 36, 16298 in ascending order.\nAnswer: 1, 36, 16298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43365 by 295.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 35*v**2 - 19*v + 16. What are the prime factors of y(-17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((44\/(-4))\/11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 26913\/4 and 6729 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 + h - 1. Let y be b(1). Suppose 0*l + 5*t + 10 = 4*l, 15 = y*l - 5*t. Let j = l + 25. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9776871.\nAnswer: 3, 13, 83563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**2 - 864*j = 0?\nAnswer: 0, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*p**2*q**2 + 88518*p**2 + 5*q**2 + 63515 wrt p?\nAnswer: 32*p*q**2 + 177036*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/18 and 49\/9824.\nAnswer: 88416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**7\/630 + s**6\/4320 - 49*s**4\/24 - 45*s**2. Let u(v) be the second derivative of k(v). Determine j so that u(j) = 0.\nAnswer: 0, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 15*w**2 - 100*w - 1115. Give i(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 141, -69, -649, -1785, -3663, -6469, -10389?\n\"Answer: -31*s**3 + s**2 + 4*s + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 2*j + 4. Let y be x(2). Let t = -5\/8 - -19\/56. Put t, -0.5, y in increasing order.\nAnswer: -0.5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/2 + 70*t**2 - 8343*t\/2 - 387099 = 0. What is t?\nAnswer: -162, -59, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 + 11 - 23 + 57*c**5 + 12*c wrt c?\nAnswer: 1140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaaaaajajjjjaajajjj. Give prob of sequence aaj.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/(-5*(-4)\/(-180)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1893 (b) -0.4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g. Let p(n) = n**2 - 3*n. Let w(t) = 3*f(t) - p(t). Let q(i) = 2*i**2. Give q(w(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.5 - -11. Let l = g - 18.6. What is the second smallest value in l, -2\/9, 2, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - 40*j**2 + 14*j - 13. Let s be o(13). Which is the biggest value? (a) s (b) -11\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -188991, -755921, -1700803, -3023637?\n\"Answer: -188976*c**2 - 2*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 9*s**2 + 7*s - 10. Let z = -11 + 3. Let m be w(z). List the prime factors of (m\/3)\/((-1)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1261 (base 9) to base 5\nAnswer: 12241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 21*s + 8. Let a be l(-8). Calculate the lowest common multiple of (-18)\/24 + (-28)\/a and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + c. Solve c*k - 5 = -4*k + 5*o, 0 = 5*k + o + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/(-20) + (-4)\/10)*(199 + (-10218)\/52)?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616211 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/25*-2*10\/(-3). Suppose -w*r - 1 = -9. Solve -k - r = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 12)\/(52\/(-39))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 z when three letters picked without replacement from oqozoqqzqqzz?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -7*d - 0*d. Let s(r) = r + 25. Let a be s(0). Solve h + a - 29 = d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*r**4*y**2 - r**3*y**2 - 1154*y**2 wrt r.\nAnswer: -504*r**3*y**2 - 3*r**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*z - 40 = 0, -222*z - 76 = -5*n - 434*z + 219*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 459? (a) -0.3 (b) -4.7 (c) 4\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)\/sqrt(8))\/sqrt(11) - (sqrt(2) + sqrt(72)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + 4. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, m: 2, e: 4}. What is prob of sequence eu?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -634 + 633. Let j(c) = c**3 + 5*c**2 - 9*c - 21. Let l be j(-6). Put -7, q, l in descending order.\nAnswer: q, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-602)\/(-36))\/(-7) + 6\/4. Let o = x - 16\/9. Let y = -10 - -13. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**3 + 22902*w**2 + 10704096*w + 7125888 = 0. Calculate w.\nAnswer: -1928, -616, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h**2 - 12*h - 5. Let f(y) = -12*y**2 - 12*y - 6. Let w(u) = 3*b(u) - 2*f(u). Determine g, given that w(g) = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*n - 17 = 3*a, -8 = a - n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-25))**(16\/3) assuming l is positive.\nAnswer: l**(-400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3128 (base 10) to base 16.\nAnswer: c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2174 - 304. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966421 is divided by 491576?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.96618 minutes?\nAnswer: 57970800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1064 and 51\/431452.\nAnswer: 862904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - s - 1. Let z = -2 - -3. Let m(g) = 3*g. Let l(r) = z*m(r) - j(r). Let i(v) be the first derivative of l(v). What is i(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.87 + 22. Let u = f + 0.07. Is -2\/3 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17030 and 5109?\nAnswer: 51090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 144063112\nAnswer: 5\/144063112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915.58 litres to millilitres.\nAnswer: 915580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2. Let g = 47 - 50. Let k(p) = 4*p**2. Let b(y) = -y**2. Let o(s) = g*k(s) - 15*b(s). Calculate o(u(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 75960743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1581304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 63*t**2 - 99*t - 1. What is k(33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 207\/15 + 2\/10 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -7 + -13 + -6 + 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*2 + -5 + (sqrt(2) - (1*sqrt(10))\/sqrt(5)))*-1)**2.\nAnswer: -20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.937565us to hours.\nAnswer: 0.0000000005382125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9043963 years?\nAnswer: 0.009043963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 7*a = -4*f - 8, -4 = a + 2*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -141, -3285, -5.\nAnswer: -3285, -141, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 47*q**3 + q**3 + 27 + 2*q - 6 as y + c*q**2 + j*q**3 + m*q and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 - 219*u - 320. Calculate a(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 33 = -2. Suppose -2*d - m = -209. Suppose -d - 261 = -5*r. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnnnnnnnnndd. What is prob of picking 2 d and 1 n?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*v = 0, 0 = 5*j + v - 3*v. Suppose o - 3*o = j. Let o*k**4 - 1 - 2*k**2 + 4*k**2 - k**4 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Suppose -2*s = v - 0*v - 5, -v + 8 = y*s. What is the units digit of ((-30)\/(-3))\/1 + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + 1*sqrt(304) - (0 + -2*sqrt(304)))**2 + -1 + -3.\nAnswer: -72*sqrt(19) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1 + 5*n + 2 + 3*n. Let f = -22 - -21. Calculate x(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1)*2 + 1 - 4*sqrt(2736)*2*6.\nAnswer: -552*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.8 bigger than 2\/9587405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and 4974096?\nAnswer: 4974095.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*d - 44, g + 109 = 4*d - 2*g. Let t(j) = -j**3 - 26*j**2 + 59*j + 50. Let k be t(-28). What are the prime factors of k\/(((-60)\/d)\/6)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8814 and 93600.\nAnswer: 10576800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.20471 times 1575\nAnswer: -322.41825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 239785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 4. Let k(o) = 1. Let n(g) = 6*k(g) + w(g). Calculate n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 5. Let v be k(3). Suppose r - 1 = v. Solve u = -r*l - 2*u - 21, -l - 1 = -u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v - 4*i - 12, 12 = -2*v - 4*i. Which is the closest to v? (a) -5 (b) 4\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6431 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141\/2416 or 1?\nAnswer: 141\/2416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:42 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164379252?\nAnswer: 2, 7, 89, 868531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -20, -38, -62?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f04f2 (base 16) to base 2.\nAnswer: -11110000010011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135247 - -239909. Let n = b + -3174662. What is n rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -93*n**4\/4 - 105*n - 6. Differentiate l(f) wrt f.\nAnswer: -279*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 14*p**2 - 10*p**2)*(1 - 1 + 3*p) + 2*p**3 - 3*p**3 + 2*p**3.\nAnswer: -83*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h**3 - 5*h**2 - 29*h - 47. Calculate x(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 2*s**2 - 4*s. Let t = -4 + 13. Let k = 6 - t. Let b be z(k). Solve 0 = -3*y - b*g + 6, -3*y - g = -4*g - 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 5*l + 7 + 3, -4*s = -10*l + 78 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 17*u - 16. Give f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -2\/7, 165987 in decreasing order.\nAnswer: 165987, -2\/7, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -10\/219, 5, 4, -0.1?\nAnswer: -10\/219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*j*u**2 + 14*b**2*j*u + 4*b**2*j - 89*b**2*u + 35*b**2 + 22*b*j*u**2 + 2*b*j - 2*b*u - 119242*j*u**2 - j wrt u.\nAnswer: 4*b**2*j + 44*b*j - 238484*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 18 = 30. Let g = u - -25. Solve -4*w = 4*y - 8, 5*w + 2*y - g = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 346*d**2 + 21 + 11.\nAnswer: -346*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*x - 249*x = -2040 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7528 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 5:40 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 13*a - 9*a)*(-1 - 1 + 3)*(73*a**2 - 45*a + 45*a).\nAnswer: -1095*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 702 - 626. What is the remainder when 171 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.711876 nanometers to meters.\nAnswer: 0.000000002711876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)*x**(-11)\/x)\/(x**(-3\/5)\/(x\/(x\/x**8))) assuming x is positive.\nAnswer: x**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 201398260 bigger than 1208389553\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 1\/3*k**3 - 7*k**2 + 6 + 27*k. What is the tens digit of b(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 876 divided by 1\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)*(2 - 1). Let j = a - -5. What is the third derivative of -n**2 - 3*n**5 - j*n + 3*n + 3*n**2 wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6225036*q**3 - 12*q + 443231375 wrt q?\nAnswer: -18675108*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 - -7.846.\nAnswer: -10.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14028 = 4*r + 1375, 9486 = 3*r + 3*l. Suppose f + 10*f = r. Let v = f + -143. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-9)*(0 - 2). Let p = -1335.37 + 1335.27. What is the fourth smallest value in p, 5, n, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19721339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*m + 21 = 0, 6 = -i - 4*i - 3*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*s - 1302 + 10403, f - 2*s - 4528 = 0. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*-4 - 1*-380. Let s = -5666\/15 + t. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -614187, -614265, -614343, -614421, -614499?\n\"Answer: -78*d - 614109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 >= -100\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (19 + 60 + (-4 - -4 - (8 - 4)))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 8:52 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -51d (base 15) in base 7?\nAnswer: -3235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + p - 9. Let g be a(6). Let q be 5\/((-5)\/g) + -39. What are the prime factors of (-1215)\/q + 2\/8?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*j - 3*r, -5*j + 3*r = -8 - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 573 + -560. Let h(r) = 4*r**2 - 8*r + 8. Let q be h(1). Solve t*y - 12*y = -q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 6. Let u be y(-6). Let s be u\/1 + (22 - 11). Let c = -3 + s. What is the smallest common multiple of 2 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d + 0*d - 16*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -44 - 54\/360*-20\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/((-19)\/475)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*n = 0, 8*a - 3*a = 5*n. Solve a = 5*g - 5*w, 4*w = 4*g + 3*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 163*c**3\/6 + 693*c**2\/2 - 4*c. Differentiate b(x) with respect to x.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 = -28*w - w + 187 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1483634 divided by 1.\nAnswer: -1483634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/768 and 101\/13761328.\nAnswer: 660543744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007333 to 5 decimal places.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 16) to base 8.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24168, -25015, -26426, -28401, -30940, -34043?\nAnswer: -37710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36872 (base 11) in base 10?\nAnswer: -52956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-58 - -7)) + -9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (0 + 4 + -2) - (5313 - 5344).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(351)\/(sqrt(9) - (sqrt(108) - (sqrt(108) + sqrt(108)*-3))\/sqrt(12)))\/((sqrt(2178) - (sqrt(2178) - 3*sqrt(2178)) - sqrt(2178))\/sqrt(6)).\nAnswer: -sqrt(13)\/44 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*s**2)*(6 + 2*s**2 - 3*s**2 + 10) to the form b + n*s**4 + t*s + a*s**3 + x*s**2 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-1) + 6\/(-6). Suppose 0 = -5*h + n - 1. Suppose 0 = -h*o + 1 - 3. Is o greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -30. Sort -3, 11, -4, w in increasing order.\nAnswer: -4, -3, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19633 - -19770. Calculate the greatest common divisor of q and 60828.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - (-2)\/4*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 76*i**2 + 153*i + 116. Calculate y(78).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 262166*o**2. Let d(g) = -7*g**2. Calculate b(d(j)).\nAnswer: 12846134*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 3125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243244 and 19216276.\nAnswer: 19216276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -5)\/((-1)\/911). Let q = c - 3719\/2. Calculate the common denominator of 26\/7 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/244 and 65\/83082.\nAnswer: 166164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 8*r + 3. Suppose 0 - 6 = d - u, 2*u = 4*d + 22. What is the units digit of 1\/(-2 - r)*d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*u**5 + 8*u**5 + 4*u**5 + (0 + 0 - 5*u)*(u**4 - u**4 - 2*u**4)*(2 + 2 - 3).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 5*p + 3. Let z be s(-3). Let j be 12\/18 + (-10)\/z. Let l(x) = 10*x - 4. Let q be l(1). Solve -2*i - q = j*o, 3*i - 36 = -i + 4*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/1579 + 83783\/37896. What is the common denominator of 15\/76 and c?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 5:30 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228905 is divided by 193?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*v - 0. Let f(q) = -3*q + 77. Let j be f(29). Let a(z) = z + 12. Let i be a(j). Solve v = -i*w + 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o - 6 = 0. Suppose -6*d + 18 = -0*d. Factor 0*p**d - 3*p**o - 14*p + 17*p.\nAnswer: -3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 + 3241536569*s**2 - 3241536569*s**2 - 14.\nAnswer: 9*s**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 53. Let y = 228 + -225. Solve -3*d = h, -y*d + d = -3*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -1\/3*f**3 - 1\/12*f**4 + 0*f + 6*f**2 + 0 + 1\/30*f**5 - 1\/120*f**6. Determine c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 2246 + 707*p**3 - 2246)*(-4*p + 3 - 3).\nAnswer: 4*p**5 - 2828*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 2577*304\/57 + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 + 1 = -2*j, 4*j - 1 = 5*r. Suppose -5*i + 90 = -r*l, 5*i - 90 = -3*l + 4*l. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*w + 7 + 15, -b - 3*w = -2. Let o be (-84)\/2*(-2)\/b. Let r be o\/(-3) + 1\/1. What is the greatest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/241 + 761\/91098. Let g = -17\/63 + w. Find the common denominator of -17\/22 and g.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1134)\/7 - -2 - -81\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:41 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -81, -82, -83, -84?\n\"Answer: -a - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -ae70 (base 15) to base 6\nAnswer: -443153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -114*q**2 + 26*q + 17. Let t(i) = -38*i**2 + 9*i + 6. Give -6*p(m) + 17*t(m).\nAnswer: 38*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91190 is divided by 1559.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 139179\/32748 - (0 - 1 - -6)*24\/(-30).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (9 + (-7 - -4) + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**6\/120 + l**5\/60 + l**2\/2 - 2*l. Let c(z) be the first derivative of y(z). Factor c(v).\nAnswer: -v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 52.7451393.\nAnswer: 52.9451393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5538 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -121*b + 54. Let n(j) = -161*j + 70. Calculate -7*n(v) + 9*t(v).\nAnswer: 38*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 35108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (14 - 8) - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 363\nAnswer: -181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 4*y - 10. Suppose -8*q - 9*q + 34 = 0. Suppose x - q*x = -4*b - 16, 0 = -2*x + 3*b + 22. List the prime factors of r(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 5:46 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 - 4*w**4 + 4*w**4 + (3 + 3 - 7)*(w**4 - 2*w + 2*w) + 3*w**4 + 51*w**4 + 15*w**4 in the form o + x*w**2 + s*w**3 + h*w + v*w**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/276 and 1\/44.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, -28\/339, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3057*g - 2402 - 191*g - g**2 + 2403 in the form h + o*g + k*g**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/(-2))\/((-12)\/(-144)*66))\/((-2)\/34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 3*y - 4. Calculate k(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011111100000 (base 2) to base 5.\nAnswer: 4243043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 9*g - 14.\nAnswer: -(g - 7)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5281*h**3*u - 12*h**3 + 866689*h**2*u + 2*h**2 wrt h?\nAnswer: -31686*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 - 58. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56827.1 + 294448028?\nAnswer: 294391200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*j + 110 = 0, -10*j + 6*j + 320 = 5*z. What is the lowest common multiple of 28 and z?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 3, -0.4, 30, 2\/65, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and 1\/19786?\nAnswer: 19786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11723 + -11716. Which is the nearest to -1? (a) -2 (b) 0.5 (c) -3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/2)\/4)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:15 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 2*b - b**3 + 0 - 3 + 0 + 2*b**2. Let h = 9 + -1. What is the remainder when h is divided by g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70048\/9 or -7784?\nAnswer: -70048\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 4:58 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**3 - 4*w**3 - 12*w**3 - 11 - 5*w. Let a(c) = -3*c**3 - 2*c - 4. Let t(g) = 11*a(g) - 4*x(g). Find the second derivative of t(i) wrt i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/19))**(2\/23))**(4\/15))**(-12) assuming o is positive.\nAnswer: o**(-32\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*j - 4607 = -81*j. What is the remainder when j is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -5*f, 7*f + 4*m = 5*f - 4. Let j = 33 - 21. Let b = j - f. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*l = -15735138 + 266334922 + 54731516. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928883063.\nAnswer: 3, 23, 2437, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 0*i + 0*i + 0*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + 3a2?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(4 - 1 - 5)*(4*c**2 - 2*c**2 - c**2)*(-160*c**2 - 159*c**2 + 25 + 318*c**2 + (4 + 1 - 3)*(-c**2 + 5*c**2 - 3*c**2)).\nAnswer: -2*c**4 - 50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(-1)*-3 - 0. Let i(w) = -3*w**2 + 33*w - 24. Let x be i(4). Let g = p - x. Calculate the highest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/((-2)\/(-42)). Let p = s - -40. Let c = -11 + p. Solve -c = k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -4\/5, -0.1, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(2 - 140865\/(-39366)) - -3. Let b = y + 525887623\/72131634. Let i = 58\/239 - b. Calculate the common denominator of i and 59\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 27*q**2 + 167*q - 21. Calculate j(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 66109374 and 66109371 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from fuuufuuuu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84050 is divided by 4202?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**4 - x**2 + x + 1. Let q(z) = 2696*z**4 + 5*z**2 - 5*z + 454. Let b(v) = -2*q(v) - 10*t(v). What is the first derivative of b(p) wrt p?\nAnswer: -21408*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 1. Let h be t(0). Suppose -3*o = 2*f - 34, -2*f + 3*f = -h. Let d(s) = 1. Let w(l) = 3*l - 12. What is o*d(c) + w(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 477420143 by -2281.\nAnswer: -209303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8750 - 8704. Calculate the greatest common factor of 20378 and u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 432 = 561. Suppose 3*h - 2*h - w = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 339 = -k - 2*k, -5*k = -a + 81. What is the highest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - 11)*42\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21505 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-37)*i)**(1\/19) assuming i is positive.\nAnswer: i**(39\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*j + 55 = n, -3*n + 3*j = -3. What is the least common multiple of 6 and 5\/30 - (-47)\/n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose 6 + 2 = 4*g. What is the second derivative of g*a + u*a + 2*a**5 - 4*a wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + -1*sqrt(1088))*-6)**2 - (2 + 1 + sqrt(85)\/(sqrt(15)\/sqrt(3)))**2) + -2.\nAnswer: 570*sqrt(17) + 39176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6351\/(-292))\/(-52 + 53 + 4 + 2\/(-1)).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19037 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2*o + 11)*(2*o**2 + 0*o + 0*o + 2 - o**2 - 2 + (-2*o**2 - 2*o**2 + 2*o**2)*(3 - 1 - 4)).\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -10.39556\nAnswer: -0.3118668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fctc. Give prob of sequence ctc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -197, -440, -717, -1034, -1397?\n\"Answer: -w**3 - 11*w**2 - 203*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 2*f - 60. Let p = -1 - -11. What is the remainder when p is divided by d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3724438 is divided by 3439.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/60 - 11*r**4\/24 + 11*r**3\/6 - 4*r**2. Let y be v(-12). Let d be (-60)\/4*(0 + y). Solve c - 6*c = d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**3 - 11*r - 11. Let i(t) = -2*t**3 + 3*t + 3. Calculate 6*d(l) + 22*i(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*t = 8, -2*t + 4 = -y - 3*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479615*k = -2*f - 479612*k + 129, -71 = -4*f + 5*k + 144 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 30 - (-1 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) 2\/15 (c) -0.016 (d) -1\/5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + q + 2 - 2*q**3)*(-87 + 4 - 4 + (-3 + 4 + 0)*(2 - 4 + 6)).\nAnswer: 166*q**3 - 83*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*z + 912*z = 456*z - 19740. List the prime factors of z.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {c: 7, o: 2, p: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 9. Let y be d(11). Suppose -y*w + 43 = -w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1 - -1) - -16. List the prime factors of c\/35 + (-648)\/(-7).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18130467 to the nearest integer?\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/6))**17\/(h**(10\/3)*h\/h**(-10)))**(3\/10) assuming h is positive.\nAnswer: h**(-171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003896631 rounded to five decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (2 + -12)*7\/(-35). Factor 15*q - m*q**2 + 11*q - 5*q**3 - 3*q**2 - 21*q + 5.\nAnswer: -5*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 95 = 107 + 42 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 472*c - 3. Let r(j) = -3*j**2 - 1417*j + 9. Give -17*k(n) - 6*r(n).\nAnswer: n**2 + 478*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m + 38 + 78 = -324 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 78*g**3 - 4*g**2 + g + 148. Let m(z) = -390*z**3 + 22*z**2 - 6*z - 741. Let v(a) = 4*m(a) + 22*s(a). What is the first derivative of v(o) wrt o?\nAnswer: 468*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 743*x**2 - 7*x - 8. Let l be h(-1). Solve 0 = -l*i + 748*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-45) + 2\/(-6). Let f = 0.04 + 0.06. Let m(z) = -z**3 + 28*z**2 - 25*z - 54. Let t be m(27). Which is the smallest value? (a) v (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 18 - 4) + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491559493?\nAnswer: 353, 4225381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4801742.25 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6*q + 2 = -t, q = 5*t + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31065*v - 33006.\nAnswer: 31065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 4. Let z(m) = -m - 4. Let p(g) = 5*y(g) - 4*z(g). What is the remainder when 14 is divided by p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 189120*z**2 - 378225*z + 189110.\nAnswer: -5*(z - 37822)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -31.5. What is h rounded to 0 decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23268*i**2 + 170416*i + 1584 = 0. What is i?\nAnswer: -18\/1939, 22\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 5:52 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:21 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72606122 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -63. Suppose 2*w = 3*n - 4, 2*w + w = -5*n + o. Calculate the highest common factor of w and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-4 - -11) + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3281097 to the power of 1\/2, to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s**2 + 2*s)*(-2 + 2 - 2)*(2 - 1 - 2)*(16 - 3 - 3).\nAnswer: 40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 41 + 24 + 27 + 32*b**2.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4156, -4126, -4044, -3880, -3604?\nAnswer: -3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129338.\nAnswer: 2, 11, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -78.68 in increasing order.\nAnswer: -78.68, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40\/3? (a) 2 (b) 1 (c) 7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2. Let y(f) = 5*f**2 + f**2 - 5*f**2 - 2*f**2. Determine y(c(v)).\nAnswer: -49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1372*j - 42*j**3 - 808*j - 564*j.\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 - (-14)\/3. Suppose -9*s - 8*s = -850. Suppose 0 = -t + s - 52. Which is the second smallest value? (a) k (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1110340143411 - -2?\nAnswer: -1110340143404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*t, -2*t + 35 = r + 20 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 94284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let w(f) = 2*f**2 - 251. What is z(w(r))?\nAnswer: 8*r**4 - 2008*r**2 + 126002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 15*m + 88. What is x(9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 10:14 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctf when three letters picked without replacement from tfrycft?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 10*s - 1890. Calculate the highest common factor of 60 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 370, -0.04, -4\/9?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(85*13\/442).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -22*w**2 - w. Let f be ((-12)\/(-8))\/((-3)\/2). Determine p(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + -3 + (2 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrqrqqqqrq. What is prob of sequence qq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5367, 42526, 143377, 339762, 663523, 1146502, 1820541, 2717482?\n\"Answer: 5307*j**3 + 4*j**2 - 2*j + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1249, -2936, -4629, -6328, -8033, -9744, -11461?\n\"Answer: -3*h**2 - 1678*h + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/120 - u**4\/12 + 3382*u**3 - 33*u**2. Let q be c(0). Suppose 1331 = -p + 4*d + 6392, q = 4*p - 4*d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -53985312531 and 1.586.\nAnswer: -53985312529.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2371, -7020, -16195, -32158, -57171, -93496, -143395?\nAnswer: -209130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 325207 (base 8) to base 11\nAnswer: 75045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0414 - 2.0414. Let s = -1 - -1.2. Which is the closest to k? (a) -0.5 (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**3 + 8*p**3 - 2*p**4)*(2*p - p + 0*p).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = 0. Find the third derivative of 2*q**2 + q**2 + s*q + 2*q**3 + 0*q wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*t - 4*c, 5*t + 44 = c + 249. Let f = -21 + t. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b + 12. What is the units digit of (-6)\/4*28\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + f + 1. Let y be m(2). Let h(k) = -9*k + 3 - 4 - k**2 + 22*k - y*k. Let o(n) = n**2 - 6*n - 8. Let b be o(7). Calculate h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 172?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2.8 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/20 and -71\/266.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*m + z, -23 = -5*z + 2. Find the second derivative of -11*u**2 + m*u**2 - 14*u - 3*u**2 wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c - 262. Give b(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 35 = i, m + 20 = 15*i - 12*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159516679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 28 = -2*p, -2*p = 176*z - 180*z + 64. Sort p, -5, 1, -7, 5 in decreasing order.\nAnswer: 5, 1, -5, -7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-6))\/((-20)\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143034535 plus 2511?\nAnswer: -1143032024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + (sqrt(3) + (sqrt(18)\/(sqrt(6)*3) - sqrt(3)) + sqrt(3) - sqrt(3)) + -5)**2.\nAnswer: -6*sqrt(3) + 244\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*g - 10355 + 3635 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 3372*c + 23457.\nAnswer: 3*(c + 7)*(c + 1117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 z when three letters picked without replacement from {z: 1, j: 1, k: 1, o: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.44 + 0.54. Put 0.5, a, 2, 4 in descending order.\nAnswer: 4, 2, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 2*z. Let k(j) = 4*j**2 + j. Let h be k(1). Solve -z*q + 4*b + 14 = -18, 4*q = -5*b + h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/5 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdy. Give prob of picking 1 b and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 156*k**2 + 65*k - 364. Let d be b(5). What is the greatest common factor of d and 2673?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8029*t**3 + 6210*t**2 + 7. Let s(q) = -12041*q**3 + 9315*q**2 + 11. Let k(c) = 8*h(c) - 5*s(c). What is the third derivative of k(u) wrt u?\nAnswer: -24162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 84, -1 in ascending order.\nAnswer: -1, -0.8, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*p**4 + 5*n**3*p + 2*n**2*p - 1339*n*p**4 + 216*p wrt p?\nAnswer: 12*n**3*p**2 - 16068*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17040 = 3373*s - 4452 - 39222 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 32*a**3 + 17*a**3 - 12*a + 14*a**3 + 2*a**2 as z*a**3 + x + n*a + w*a**4 + s*a**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 26*g**2 + 31*g - 153. Let j(b) = -29*b**2 - 210*b - 24. Let s be j(-7). Calculate f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 15.2 (c) 0.42 (d) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18 + -47)\/(-5 + 0). Let q(r) = 4*r + 27. Let u(j) = 9*j + 55. Calculate n*q(f) - 6*u(f).\nAnswer: -2*f + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-28)*(-150)\/90)\/((-4)\/(-14))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275809541?\nAnswer: 7, 39401363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/846 + (-31)\/(-72)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {t: 4, k: 10, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*p - 95, 20*p - 19*p + 32 = s. Solve 0 = -4*d + 3*x - 0*x + s, -3*d = 2*x - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23964, -191543, -646320, -1531893, -2991860, -5169819?\n\"Answer: -23933*t**3 - t**2 - 45*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 15, y: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/x*x\/(x\/(x\/x**(-5\/3))))\/((x**(-13)*x)\/x)**(-2\/21) assuming x is positive.\nAnswer: x**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -2*g**3 + g**2 - 4*g - 5. Let b(z) = z**2 - z + 1. Let c = 4 - 3. Calculate c*r(u) + 4*b(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35342 is divided by 693.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -123 + 44)\/(27\/9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12944 divided by -8.\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*p - 4*p = 8, -4*z + 8 = -2*p. Let t be (-8)\/(-12) - (-39)\/(-45). What is the closest to z in 5, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + h - 39 = 5*h, -h + 24 = -3*m. Let g be (-6)\/m*(-13 + -5). Let d = 44 + g. What is the highest common divisor of d and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5906 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*u**3 + 28\/3*u**2 - 28\/3 + 4\/3*u = 0. What is u?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*y - 15 = -4*k, k - y = 5. Solve -k*u = -9 - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 + 248. Let o(d) = 2*d + 10. Determine o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 509119 and 52?\nAnswer: 2036476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 1128. Does 56 divide l(48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/24*(-6)\/20*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -188\/49 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27624 is divided by 9197.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21699)\/(-15) - 6) + (-8)\/(-20). Is 1441 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -7, 223, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 13) to base 11\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 25*z**2. Let h(i) = -1893511*i. Calculate h(l(v)).\nAnswer: -47337775*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -708, -1677, -3304, -5919, -9852, -15433?\nAnswer: -22992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -178, -65, 82, 257, 454, 667?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 411 and 23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2182 (b) -1\/22 (c) 1243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4937?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.49\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 5*l**2 + l + 5. Let r be (-1)\/(3\/6)*-2. Let v be d(r). Is 3\/((-3)\/v) + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/924*-6)\/(10*(-1)\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 10659.\nAnswer: -25\/3553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215 - 218 - 3*c**2 + 10*c**2 + 7*c**3 to w*c + a + m*c**3 + b*c**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.301 + -0.025. Let a = -4.034 + h. What is a rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-1 + 0) + 1. Suppose -5*j + 2 = -4*g, 26*j - 30*j = -2*g - 4. Sort 4, d, 5, g.\nAnswer: d, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrddfyf. Give prob of picking 1 f, 1 d, and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-4\/5)))\/(i*i\/((i\/(i*i**(-2)\/i*i))\/i)))\/(i*i**(-11)*i**16*i) assuming i is positive.\nAnswer: i**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 6. Let i(x) = -x**3 + 4*x**2 - 5. Let z be (4 - -1) + -1 + 0. Let h be i(z). What is the remainder when v(h) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 - 30082?\nAnswer: -29752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41089340 by -34.\nAnswer: -1208510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - -11. Let v be u\/10 + 2\/(-10). Find the first derivative of -14*c**2 + v - 7 + 1 + 1 wrt c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 18 = 2*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8356 by -184.\nAnswer: 2089\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15 - 191*x + 196*x + 27 - 12. Let p(s) = -2*s - 25. What is p(q(k))?\nAnswer: -10*k - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313 divided by -2.\nAnswer: 313\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-4)\/((-16)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-846)\/4653)\/((-11)\/33759*-9)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26182120?\nAnswer: 2, 5, 654553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.14 - 0.9. Let v = k + -2.04. Let u = v - -1.74. What is the third smallest value in 3\/4, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6289420 by 628.\nAnswer: -10015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-6 - (0 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 2*o + 2. Let q be h(-4). Let g = 15 - q. Find the second derivative of 26*t**2 - 10*t + 27*t - g*t**2 wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/4 - (-1)\/(-10 + 9)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 38357 and 0.05377833.\nAnswer: 38357.05377833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - h - 5. Let f(b) = b**2 - b - 4. Suppose 4*a - 10 = 2*a. Suppose a*u - 26 + 1 = 0. Determine u*f(p) - 4*y(p).\nAnswer: -3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3503637 is divided by 500519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2347969\/7 and -335425 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from bqqibqiqqqiqdbqqdiq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 11*r**2 - 6*r - 7. Let f be j(-7). Suppose -18*v = -23*v + 130. Calculate the highest common factor of f and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 26693503?\nAnswer: -6\/26693503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 505847*x**2. Let j(s) = -19*s**2. Determine j(z(k)).\nAnswer: -4861742560771*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Let t be 1*(34 + (m - 3)). Suppose 4*r = d - 13, d + 0*r + r - t = 0. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-three thirds of a day?\nAnswer: 35040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 62 = -3. Suppose 4*q + 27 = -y. Let a(x) = x**3 + 9*x**2 - 12*x - 3. Let b be a(q). What is the highest common divisor of 136 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1 - 10\/(-8). Let k be (-15)\/4 - (-6)\/(-24). Let h be 1\/k*8\/14. What is the closest to w in h, -1\/5, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -3, 26, 5, 25\/6 in decreasing order.\nAnswer: 83, 26, 5, 25\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33945 take away 32?\nAnswer: 33913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.07647 rounded to three decimal places?\nAnswer: -1.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 282529.\nAnswer: -4\/282529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-49) + 144\/7. Let z = 6 + -8. Is z\/(-1) - (-2 - x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 3}. What is prob of sequence uu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1394274, 2788530, 4182786, 5577042, 6971298?\n\"Answer: 1394256*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 t when four letters picked without replacement from wtwwattawatawa?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 20 = 0, y - 2*q = -2 + 60. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73 + 10*u**2 - 13 + 22 - 11 + 33 as w*u + d + p*u**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -9.4381537?\nAnswer: -3.77526148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(2\/(-20)). Which is the second smallest value? (a) 7 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 685.527 + -685. Round x to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -6 - (5 - 0)) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 103, 211, 323, 439?\n\"Answer: 2*c**2 + 98*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 17*m**2 + 5*m - 10. Let l be q(-6). Suppose -4*t + 92 = -l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 86*n - 1447. Let q be d(-23). What is the closest to 2 in -0.056, q, -1, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.358.\nAnswer: -0.0358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70772228?\nAnswer: 2, 17693057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11920*g*r*x**3 - 168*g*r*x**2 - 5200*g*r - 2*g*x + r*x + 42*x wrt x.\nAnswer: -71520*g*r*x - 336*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294131293 and 7133.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-1\/8)\/d*d)\/d)\/d**(-8) assuming d is positive.\nAnswer: d**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**5 - 1485*k**4 + 124315*k**3 - 1714895*k**2 - 101696700*k - 99856000 = 0 for k.\nAnswer: -20, -1, 79, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (20 + -14 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1*3*14\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 28 + 46 = 0. Put -4\/3, 2\/63, -2, g in increasing order.\nAnswer: -2, -4\/3, 2\/63, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7450.094m in kilometers?\nAnswer: 7.450094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -0.1 (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71331.96 centuries?\nAnswer: 85598352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -104865, -104850, -104823, -104778, -104709?\n\"Answer: b**3 + 8*b - 104874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/22 + 22\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/3462 and -31\/2373?\nAnswer: 2738442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*h**3 + 14*h + 2377*h**3 - 14*h.\nAnswer: 1659*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -3.2, 2, 0.1, -18\/7?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (10 + 2))*-1. Suppose -2*h - y + i = 3*h, -3*y - 3 = 0. Solve 2*s = -h*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/((-3)\/(-30)). Suppose x = 6*r - 3*r + 12, 0 = 4*r - 2*x + 16. Let t be r\/(16\/l)*-1. Solve -4*m + 2*v = 26, -t*m - 2*m = 3*v + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 1302 + 1301 + i - 2595 - 11*i**2 to the form n*i + q + d*i**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(-3*q + 3*q - q) - q + q - 2*q)*(-q + 4*q - 2*q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75457.15 tonnes in micrograms?\nAnswer: 75457150000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 20*l + 21. What is w(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 11*g + 17. Let v be z(-6). Calculate the remainder when 179 is divided by 2\/(-5) + (-460)\/v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 7:24 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 2*r**2 + 3*r + 3. Determine x(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000732432 rounded to 7 decimal places?\nAnswer: 0.0000732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 30785867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3310*k**2 - 2973*k**2 + 6932*k**2 to the form j + z*k + a*k**2 and give a.\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/150 and 115\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(9 + -4))\/(2\/50). Let c = h - -27. Solve -a - c*a = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.63 - 34. Let f = -0.13 + r. Which is the third biggest value? (a) 6\/7 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14cac0c (base 14) to base 4.\nAnswer: -212303103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 3, v: 1, g: 6, t: 1}. Give prob of sequence vpgt.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 5*m)*(-35*m - 837*m - 804*m + 178*m - 620*m).\nAnswer: 10590*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 740*h - 208*h + 252 - 252 to q + b*h and give b.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let f = -317 - -341. Suppose -u + 4*u - 4*r = 26, f = 2*u - r. Put 0, c, u in ascending order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - (2 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:26 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 510*g**3 + 12*g**2 - 457*g**3 + 28*g**2 - 314*g**3 wrt g?\nAnswer: -1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -1*2) + (-400)\/90. Which is the nearest to 1\/3? (a) i (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-8)*28\/(-3528)*-21?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 21*m + 1. Let w(y) = 17*y. Calculate 3*q(b) - 4*w(b).\nAnswer: 3*b**2 - 5*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + 10?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 380088077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25076740753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4174017 is divided by 1554?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6985 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -5, 4, -336?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 48. Let x = 22.3 - s. What is the third smallest value in -1\/2, x, 2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/37, 5, 6456?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -88, -201, -420, -781, -1320?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/240 + w**5\/40 + w**4\/6 + 3*w**2. Let m(v) be the second derivative of b(v). Does 16 divide m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let d be 0 - ((3 - s) + -2). Suppose 3*u = u - u. Solve -f - c - d = u, -f + 4*f = -2*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 8778000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 35*l**2. Let d(q) be the second derivative of q**4\/12 - 41*q. What is a(d(o))?\nAnswer: 35*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 478*l + 13*l + 87*l + 55*l + 98*l. Let s(b) = -27*b. Let r(g) = -136*s(g) - 5*x(g). Let q(p) be the second derivative of p**3\/2 - p. What is q(r(k))?\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = b + 1, -5*b - 25 = 5*z. Let d(q) = -3. Let c(p) = -6 + 1 + 6. Let m(w) = 5*c(w) + 2*d(w). Let n(r) = -3*r - 7. Calculate b*m(o) + n(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 1 u when three letters picked without replacement from hhhuhhhhrhhhhhhhhhhh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/327 and 3\/545.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16833 - 2*b**2 + 16856 - 33689.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -l, -40 = 3*q - 4*l. Let b = -5 - q. Solve -4*u + b = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 185, -2\/3, -1, -13 in ascending order.\nAnswer: -13, -3, -1, -2\/3, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/100 - 259\/5300. Does q = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/4950 and -104\/4455.\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -5*m**2\/2 + 19*m - 691. Let f(y) = -2*y + 6. What is -8*f(a) + 3*q(a)?\nAnswer: a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39581724 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127667924 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3, -59584\/751?\nAnswer: -59584\/751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2047*h - 2046*h + 3*x - 25 = 0, -h + 2*x - 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 43. Let v = -14 + x. Suppose 0 = 4*p + w - 31 + 10, 0 = v*p + 2*w - 18. Solve -5*h = p*c + 37, -2*h - 3*h = -2*c + 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2963\/2019?\nAnswer: -2963\/2019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -21. Let i be 0\/2*3\/c. Is i equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 3*i - 2. Let r be x(-5). Let c = 11 - r. What is the derivative of -3 - c*u**2 + 2*u**2 + 2*u**2 + 5*u**2 wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*j**3 - 281*j**3 - 634*j**3.\nAnswer: -772*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 4*u + 3*j - 1, 5*j - 23 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/7*(-35)\/(-55)*11.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n. Let q(o) = 18*o**2. Give i(q(s)).\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2513)\/(-1077))\/(2\/(-18))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 2.2. Which is the nearest to n? (a) -107 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1095 divided by 365\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -953.38.\nAnswer: -76.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145\/2 - -73. What is the biggest value in -4, r, 2\/41?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:44 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 divided by 4961?\nAnswer: 1000\/4961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -4, 0.19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52755.74m?\nAnswer: 52755740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in minutes?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 - -1) + -4)*46300\/3. What is i rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -550*o + 16056 + 5*o**2 + 4746 - 5677.\nAnswer: 5*(o - 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/7762608 and -79\/46206.\nAnswer: 7762608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78043 greater than 78043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 - 8778993*f**4 - 2*f**2 - f + 1526255 wrt f.\nAnswer: -240*f**3 - 210695832*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*x + x - 788 + 819 + 47*x**3 wrt x?\nAnswer: 282*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**2 - 17*b**2 + 14*b**2)*(-151*b + 308*b - 150*b) + b**3 + 6*b**3 - b**3.\nAnswer: -85*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 19, o: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 964449.9 and 0.5?\nAnswer: 482224.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3518.\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 1. Let m(a) = 25*a**2 - a. Let q(z) = 126*z**2 - 6*z + 1. Let o(t) = 11*m(t) - 2*q(t). Is 20 a factor of o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1628 and 123\/20.\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -762025887*t**4 + 45578634*t?\nAnswer: -9144310644*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/4 - u**3\/6 - 6*u**2. Let n(d) = 2*d - 567. Let s(r) = -r + 252. Let o(b) = -8*n(b) - 18*s(b). What is o(p(k))?\nAnswer: -30*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/5 + 102*l\/5 + 40 = 0. Calculate l.\nAnswer: -100, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orkgrk. What is prob of picking 1 g and 2 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1443*b**4 + 71*b**2 - 78*b**4 - 3*b**5 - 1206*b**2 + 77306 - 77306 wrt b?\nAnswer: -180*b**2 + 32760*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 84. Let z = 36 + t. Suppose -17 = -3*h - 2*h - 4*k, 0 = 3*h - 3*k - 21. Solve -5*x + z*x = h*s, -4*x = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 822*l**3 - 409*l**3 + 681*l**3 - 2 - l + 2*l**2 + 3. What is the tens digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2827 - 8?\nAnswer: 281d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48164 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-812)\/42)\/(-29) + (-219325)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 33*d + 557. What is k(-11)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152048)\/(-6880) - (22 - 0)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2. Let c(l) = 2*l**2 + 3*l - 3. Let z(x) = -8*x**2 - 13*x + 13. Let y(m) = 26*c(m) + 6*z(m). Determine y(i(a)).\nAnswer: 196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:33 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -112. Let k = -220401 - -220441. Calculate the greatest common divisor of k and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*a = -1 - 423 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 10. Is u(17) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*k**2 - 30*k**2 + k + 44*k**4 - 21*k**4 - 276 + 24*k**4 wrt k.\nAnswer: 564*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5016 - 5072 = 215*i + 877 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 6*x + 152 - 9*x**2 + 15*x.\nAnswer: -9*x**2 + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 180000. Let f be b(0). What is f rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 17*n**2 - 4*n + 70. Let h be o(17). Solve -h*p = 4 - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-18) - (-56*1886\/(-1476) - 44\/(-6))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from mmmkkmmmkmmmkk.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 31 + x - x. Is 7 a factor of u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/8, 23, 98, -0.163, -5 in decreasing order.\nAnswer: 98, 23, 4, 3\/8, -0.163, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*b + 73*b + 50*b - 313761 = 0. What is the remainder when b is divided by 101?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdrt when four letters picked without replacement from drttt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k**3)*(-3*k**2 + 4*k**2 + k**2) + (49*k - 33*k - 48*k)*(5 - k**4 - 5).\nAnswer: 30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**3 - 16523*x + 413 + 16523*x)*(6*x - x + x) to the form i + j*x**4 + k*x**2 + r*x + h*x**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -222, -408, -562, -690, -798?\n\"Answer: -h**3 + 22*h**2 - 245*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - 3. Let d = a - -17. Suppose d*v = 6*c - c + 40, -20 = c - 5*v. Put c, -1, -4 in decreasing order.\nAnswer: -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h. Let w(a) = -10*a + 1. Calculate 4*j(l) - 5*w(l).\nAnswer: 10*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + 15 + -1 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwlaaax. Give prob of sequence wxxl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -514, -1118, -1974, -3088, -4466, -6114?\nAnswer: -8038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/40 - d**5\/5 - 5*d**4\/24 - 3*d**3\/2 + d**2. Suppose -81*z - 84*z = -179*z + 140. Is y(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 14) to base 8\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 26*f - 1191. What is the remainder when f is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (2 + sqrt(432) - sqrt(3)) - (-5 + sqrt(18)\/sqrt(6)))**2 + (sqrt(450)*1)\/(sqrt(48)\/(sqrt(24)\/sqrt(3))).\nAnswer: 159*sqrt(3) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 4 - (-2 + sqrt(17) + 1)**2) + (sqrt(833)*2)**2*3.\nAnswer: 3*sqrt(17) + 9982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*r = 4*u + 6153, 4*u + 4920 = r. Let d = u - -2847. Suppose -4*y + 4377 - 1169 = -b, -2*y - 3*b = -d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*f + 0*f - 49*f - 20*f - f - 13.\nAnswer: -124*f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 3*j**2 - 5*j + 6. Let b be i(4). Suppose -t + 98 = 2*t - 4*c, 70 = b*t + 2*c. Let o = 18 + t. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -30. Let n = 4 + -8. Let f be (-21)\/p - 1\/n. Solve -2*j - 8 - f = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -26. Let x(d) = 2*d**3 - 5*d**2 - 2*d - 2. What is the tens digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17679 = 7*j - 11*j + v, 2*v = 5*j - 22101. What are the prime factors of j?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttgtgzrgggf. What is prob of sequence zgtf?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -1257876046.\nAnswer: -1257875951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*r**3 - 21*r**3 - 17*r**2 + 70*r**2 + 8*r - 70*r**2 to d*r**2 + w*r**3 + f*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 7 = 65 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 17*u - 207. What is q(-13)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i - 13*i - 5*i. Let q be f(-3). Suppose -2*l + 4 = -q. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*a + 7*a - 30 = 0, -2*a = 3*k - 30. Let j(y) = -y**2 + 9*y - 15. Determine j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*m**3 - 4179*m**2 - 97111*m.\nAnswer: 150*m - 8358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 20. Let d = -10 - -14. Let g be d*(-3)\/(-7 + w). Solve -8 = 3*m - 5*p + 2, -2*m + g*p = 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 0 + sqrt(17) + sqrt(17))**2 + -4.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 2:47 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 + 3*i - 1. Let d(m) = 4*m**3 + 19*m**2 + 9*m - 3. Suppose 0 = -15*f + 76 + 29. Let o(n) = f*p(n) - 2*d(n). Determine o(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 12. Let r(b) = -b**3 + 18*b**2 - b + 27. Let u be r(18). Solve -z*q - m - 27 = 0, 3*m + u = -q + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4*s - 1. Let j be x(7). Let l = 43 + j. Calculate the highest common divisor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (902\/246)\/((-2)\/(-48)). Suppose 64*p = 66*p - j. Calculate the remainder when 86 is divided by p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.176 or 934.1?\nAnswer: 934.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30745?\nAnswer: 5, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 (base 5) in base 2?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = 5*w - 8*w, -5*k = 4*w - 20. Suppose n + n - 10 = w. Suppose 3 = n*d - 6*d - v, 0 = 2*d + 5*v + 18. Is -2\/9 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 106*d - 103*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 15*m**2 - 12*m - 20. Determine x(-13).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*s + 4809 = -124*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 2. Let p(u) = 3. Let v(y) = -2*p(y) - 3*q(y). Let k(r) = 2*r**2 + 13*r. What is k(v(m))?\nAnswer: 18*m**2 + 39*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 813 and -0.0566.\nAnswer: -46.0158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 11*t = -25*t + 4. Let o(g) = g**3 + 5*g**2 + 4*g - 2. Calculate o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 6) to base 16.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 8 - 64 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 1:23 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (57\/(-6))\/(1\/(-2)). Suppose 7*i = 2522 - 2557. Sort i, -1, 4, z in decreasing order.\nAnswer: z, 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-298*d**3 + 298*d**3 + 180*d**4)*(-7 + 1 + 2).\nAnswer: -720*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/3 - (-1)\/(-3). Let q(x) = x + 9. Let d be q(-6). Suppose -6*k + 4*k - 4 = -3*p, 0 = -p + d*k + 13. Which is the closest to p? (a) l (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 - y + 240. Let l be z(0). Suppose 16*t - l = 11*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 340?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(208) + -4 + sqrt(208).\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*f + 35 = 25, 15 = -q - 3*f. Solve -6*n - 13*n - 38 = q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*m**2 - 54*m**2 - 49*m**2 in the form h*m**2 + l + z*m and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 584860608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 5:58 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215.2632 - 210.1. What is q rounded to two dps?\nAnswer: 5.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c5b - 3?\nAnswer: -c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f. Suppose 5*l + d = 63, 3*l - 4*d = -6 + 30. Let m = -1 + 1. Solve -a + 5*i + 16 = f, -3*i = -3*a - m*i + l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14823 to three dps.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 43*o + 44*o + 3 = 0, -4*s + 9 = 5*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:31 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.101911441 - 3234.401761441. Let u = -3233.2 - k. Let b = -1.1 + u. What is b rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*d - 3 = 3*m - d, -6 = -2*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxz when three letters picked without replacement from {z: 10, u: 3, x: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237783 (base 10) to base 8.\nAnswer: 720327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9 - -6. What is the closest to 0 in -4, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324995605 rounded to the nearest 10000?\nAnswer: -325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78687423?\nAnswer: 3, 661, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 64199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268686 and 1672650.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hxhvhvk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r + 5*r - 4*r)*(-3*r - 2*r + 2*r) + 1 - 1 + r**2 + (11*r - 3*r + 0*r)*(0*r + r + 0*r) to the form q + z*r + u*r**2 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3881, 3879, 3877, 3875, 3873, 3871?\nAnswer: 3869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -25. Let l be (1*2)\/((-6)\/(-27)). Let h = -5 + l. Put h, 0, t in ascending order.\nAnswer: t, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:55 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*x**2 - 7*x**2 + 14*x**2)*(-2*x - x + x)*(5 - 3 - 1) + (-2*x**3 - 4*x**3 + 4*x**3)*(-4 + 5 + 0) - 2*x**3 - 4*x**3 + 4*x**3.\nAnswer: -76*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 2 u when four letters picked without replacement from uuqgglgg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6211\/1743 + -2\/249. What is the common denominator of (123\/12)\/(14\/4) and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 121. Suppose 2*o + 96 = v. What are the prime factors of ((-180)\/o)\/(10\/(840\/(-18)))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 9:11 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 1. Calculate u(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -49. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48*(12882\/(-4256))\/113?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -3*b + 5*g, -3*b - 8*b + 8*b + 117 = -3*g for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 6\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 1. Let q(c) = -3*c**2 + c - 1. Let u(x) = -j(x) - q(x). Is u(-6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87698498.\nAnswer: 2, 1049, 41801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1877789 by 437.\nAnswer: -4297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -4. Suppose 4*w + 3*k = 4*k + 11, w + 5*k + 13 = 0. Suppose w*x + x = 0. Solve x*n = 5*n - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7656.11ml to litres.\nAnswer: 7.65611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -20*a**2 - 17*a + 3. Let d(r) = 3*r**2 + 5*r - r**2 + 5*r**2 + 2 + r - 3. Let y be 3*4\/((-2)\/1). What is y*x(f) - 17*d(f)?\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmdmdmqzqmmdddmgj. Give prob of sequence mqzg.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/10*6*25. Let o = -12 + x. Suppose 6*r - o*r + 8 = -2*n, 2 = -n - r. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 44, -4 in descending order.\nAnswer: 44, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/12)\/((-3)\/801). Let j = l - 49. Suppose -j = -5*h - 42. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t**8*t))\/((t\/t**(-1\/3))\/(t*t\/((t**(-8)*t*t)\/t))) assuming t is positive.\nAnswer: t**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - 198. Let r = d + 133. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46448, -46457, -46468, -46481, -46496?\n\"Answer: -n**2 - 6*n - 46441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1825 divided by 248\nAnswer: 1825\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 3*g**2 + 4*g + (2 - 2 - 2*g)*(2*g - 4*g + g) + (-30 - 156*g + 313*g - 155*g)*(2*g - 4*g - 2*g) to w*g + y*g**2 + q and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 3, u: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000147518572 to seven dps.\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) -102 (b) -3432 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15258461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127440*11.\nAnswer: -1401840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -1 + (-6 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-18)\/h*(h**(2\/9)\/h)\/h)\/((h**(2\/43)*h)\/(h*h**(-16))))**(-32) assuming h is positive.\nAnswer: h**(456032\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 + 35*a**4 + 95*a**3 + 125*a**2 + 80*a + 20.\nAnswer: 5*(a + 1)**3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 (base 3) in base 7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46155, 46160, 46165, 46170, 46175?\nAnswer: 46180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -e2549b?\nAnswer: -e254a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 14 = 3*r, 8 = -4*r - 2*t - 2*t. Suppose -154 = 5*n - d, -d + r*d = 2*n + 64. What is n rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.301 and -867.\nAnswer: 260.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**4*o - b*o**3 + 15*b*o**2 + 399*o**3 wrt b?\nAnswer: 4*b**3*o - o**3 + 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 + 11*v + 2. Let z(m) = m**2 - m. Let t(f) = c(f) + 4*z(f). Determine t(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 9*d + 137. What is the units digit of i(30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 + -173. Suppose 66 = y - 151. Calculate the remainder when y is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) - 13\/3. Sort -2, 0, l, 1 in decreasing order.\nAnswer: 1, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5327*h - 2 = -5325*h, 4*h + 16 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2747870, -5495736, -8243602, -10991468, -13739334?\n\"Answer: -2747866*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -13. Let i(z) = -z**3 + 6*z**2 + 4*z - 8. Let s be i(y). What is the highest common divisor of s and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z - 365. Let o(r) = -26 - 33*r**2 - 15 + 12. Let q(d) = o(d) - 6*x(d). Differentiate q(t) wrt t.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 1 + 2)*(-3 + 0 + 2) + 0 + 0 + 2)*(13*u + 12*u + 37*u) in the form q*u + a and give q.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 189, 370, 555, 750, 961, 1194?\n\"Answer: b**3 - 4*b**2 + 186*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 28. Let d = -10 - c. What is the first derivative of -d*o**3 + 5*o**3 - 16 + 1 wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1424 and 1005611?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 109.\nAnswer: 27\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/10 + (-2)\/(-4). Suppose 2*i - 20 - 40 = x. Suppose -i = -s - 2*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l - 1. Let c be t(7). Suppose -3 - c = -3*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/c**6*((c\/c**0)\/c)**(-3\/5)*((c**0)**11)**(3\/8) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46 and -7.1?\nAnswer: -326.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-6) - 4 - 82\/(-6). Let f(n) = n**3 - 18*n**2 - 21*n + 46. Let v be f(19). What is the highest common divisor of d and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-22))\/((-7)\/77)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 9095*p**2 + 327410*p - 360 = 0.\nAnswer: -36, 2\/1819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (0 + 28)) + (-1 - 8 - (173 - 172)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.45109cm to meters.\nAnswer: 0.4345109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 - 10*f + 1. Let p be 180\/(-36) - (-3)\/1 - 5. Calculate s(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-1*sqrt(10)) + 0 + sqrt(208)*-2 + sqrt(208) + 2.\nAnswer: -5*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4163186?\nAnswer: 2, 1109, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/6 - 2*n**3\/3 + 3*n**2\/2 + 4*n. What is the tens digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ce + -d?\nAnswer: -1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-50))\/(12\/(-3))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*i - 333*i = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117 + 1348 - 925 = a + 34*a for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148640, 148001, 147360, 146717, 146072, 145425, 144776?\nAnswer: 144125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/4 - 9*p**2 - 1393*p. Calculate a(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Put -1, 1, f in descending order.\nAnswer: f, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799943892 divided by 11.\nAnswer: 72722172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 5. Let x = -9 + q. Let u = x - -1. Solve u = 3*z - 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11466620 (base 7) to base 4.\nAnswer: 3322102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634 + 217 - 7*u**2 + u**3 + 19*u**2.\nAnswer: u**3 + 12*u**2 - 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -1.98. Let p = 3.82 - 4. Let k = r - p. What is the nearest to 3\/2 in k, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.007, 0.4, 1.7?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*i + 1 - 0, 5*i = 3*n + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*i + 3 = 0, 0 = 2*v + 7*i - 3*i - 20. Let w = v - 4. Suppose -4*n + 2*n = 4*h - 72, 2*h = w*n + 36. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i + 7. Let j = 6 - 8. Let a be 5 + (-1 - 2\/j). Let c = -22 - -16. Let q(t) = 5*t + 8. Determine a*q(z) + c*k(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2160 + -8?\nAnswer: -2168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 421*z + 6735. Give b(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x - 432 = -80*x. Calculate the remainder when 321 is divided by x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + -1. Let t = -154.2 + 154. What is the second biggest value in b, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18401 (base 11) to base 8\nAnswer: 62256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 15779.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y - 2*k - 4, -20 = 4*y + 4*k. Let m be ((-36)\/(-45))\/(y\/35). Let n be (3 + (-39)\/12)*m. What is the greatest common divisor of 21 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(2 + 354\/(-168))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:52 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 17*d**2 + 7*d)*(16*d + 4*d**2 - 16*d)*(-6 + 2*d + 5 - 9).\nAnswer: -136*d**5 + 680*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d + 2*v, -5*v = -2*d - 2*d + 3. Let y(t) = -t + 34. Let c be y(d). Suppose -24*o + c = -15*o. What is the highest common divisor of o and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 13112?\nAnswer: -13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13374 + -13376. Put 1\/8, -1, -2\/9, a, -115 in increasing order.\nAnswer: -115, a, -1, -2\/9, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57400 by 410.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j. Suppose -4*p = -j*p - 108. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150*m**2 - 459395*m - 219377225 wrt m?\nAnswer: 300*m - 459395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -13*m. Let o(p) = p. Let y(w) = w**3 + 9*w**2 - 25*w - 9. Let i be y(-11). Determine i*o(g) + 3*v(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13486 + 5650 - 1766 - 6*q**2.\nAnswer: -6*q**2 + 17370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + -3091244?\nAnswer: -3091244.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209241553.\nAnswer: 59, 3546467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2. Let t(h) = -7*h**3 - 2*h**2 + 18*h + 28. Let w(j) = -t(j) - 5*y(j). Suppose w(c) = 0. Calculate c.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 5}. What is prob of picking 4 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2 - (-10)\/(-20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 8*y + 2 + 4 - 8. Let g(b) = -21*b + 9. Let n = -24 + 26. Calculate n*g(h) + 9*q(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1124329.6 and 0.18?\nAnswer: 1124329.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -633808 or -633806?\nAnswer: -633808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 50*h**2 - 1. Let r(k) = -151*k**2 + 3. Calculate -14*q(a) - 4*r(a).\nAnswer: -96*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 885 = 2*j - 3*h, 1119 + 228 = 3*j + 2*h. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(1\/6). Suppose 0 = 3*w + 2*d - 7, d + 2*d = w - 6. Differentiate -2*p**y + 1 + 0 + w*p**3 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 15 + 3 - -8 - (2 - 10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 0*o**4 + 0*o**5 + 0*o**3 + o**2 + 17*o - 13\/2*o**6 - 16. Find the second derivative of s(a) wrt a.\nAnswer: -780*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t + t + (1 + 0 + 0)*(-2*t - 3*t + 3*t) + 2*t + 0 + 0 + 2*t + 1 - 1 - 2*t + t + 3*t - 2*t + t + 0*t - t - t + 3*t + (21*t - 3*t - 3*t)*(-1 - 1 + 3).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2896*a**3 + 2815*a**3 - 5701*a**3 - 2*a**2 + 2*a**2.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4516 + -4518. Put -781, g, 4 in increasing order.\nAnswer: -781, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 4, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a - 4*a + 9*a)*(-3*a + a**3 + 3*a + (2*a**2 + 1 - 1)*(-5*a + 0*a + 6*a)) in the form y + r*a + x*a**3 + l*a**2 + w*a**4 and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -1\/420*b**7 + 0 + 1\/75*b**6 - 1\/60*b**3 - 3\/100*b**5 - 10*b + 1\/30*b**4 + 0*b**2. Solve l(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3)*1*1. Suppose 0 = 19*b - 28*b + 11*b. Suppose 3*u + 3*g - 27 + 6 = 0, 5*u - 2*g = 0. Solve -1 = j*c + 5*x, b*c - u*x = -2*c - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*i + 115, -4*h = 3*i + 106 - 269. Let n = h + -39. Suppose 5*z - 2*z = -4*k - 7, 0 = -z - k - 1. What is the highest common factor of n and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620040 = 7*h - 2*h. Suppose q = 3*f + 92996, 4*f + 5*q + h = 3*q. Round f to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 35, -4, 18196, 2 in increasing order.\nAnswer: -4, 1, 2, 35, 18196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.22, -0.3, -3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {x: 1, m: 3, i: 3, z: 3, y: 2, h: 2}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-12)*(-5 + 5). Suppose 6*n - 10 = n. Sort 3, n, c in descending order.\nAnswer: 3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -1 - (-140 + 132)) + -39 + 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -2d3ffa?\nAnswer: 2d3ff7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1 + (1 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) - (sqrt(396) + -4)))*-6*4 + (sqrt(11) - (sqrt(11) + (sqrt(704)*5 - sqrt(11))) - (sqrt(11) + 5 + sqrt(11) + 3))**2.\nAnswer: 512*sqrt(11) + 18651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vttc when four letters picked without replacement from {v: 1, y: 1, h: 3, t: 4, c: 4, x: 4}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*l**5\/7 + 996*l**4\/7 - 1846*l**3\/7 - 67272*l**2\/7 - 12296*l - 4032 = 0. What is l?\nAnswer: -56, -7, -2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-45)\/(-10)*-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69.2579375034 and -1.\nAnswer: 68.2579375034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1591 and 2?\nAnswer: 3182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*c + 16. What is the remainder when 46 is divided by c - 3*(-2)\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 153.\nAnswer: -4\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 1. Suppose 27*d - 16 = 31*d. Let n(h) = -h + 1. Let s be (-3)\/(-2)*(-2)\/1. Let q = s - -5. Determine d*b(f) + q*n(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -88, -85, -82, -79, -76?\n\"Answer: 3*i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -120*t + 2. Let l(u) be the second derivative of -u - 1\/3*u**3 - 25 + 0*u**2. Give q(l(o)).\nAnswer: 240*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44909511 and -3?\nAnswer: 134728533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1 - ((8 - 13) + 8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/10 - (0 - 0). Let x = 2\/44491 - -177950\/311437. What is the smallest value in x, 0.4, 1.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 3.329?\nAnswer: 3.329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36712 and 481.\nAnswer: 1358344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*g - 25, -5*g + 0*g = 3*a + 40. Let b = 7 + a. Let p(n) = 4*n + 1. Does 5 divide p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfpooodoofdo. Give prob of picking 1 p and 1 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 5*n + 3. Let u be g(-3). Let x be 12\/16*40\/(-195). What is the fourth biggest value in x, -3\/5, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5103889*i**2 + 10534098.\nAnswer: 10207778*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60751, 60279, 59807, 59335?\nAnswer: 58863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let n(r) be the second derivative of -5*r**3\/6 + 4*r. Give n(o(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 17*h**2 + 7*h - 8. Let k be s(8). Let x be (680\/k)\/(2\/(-4)). Let u = x + -84. Solve -5 + u = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49077003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 193*t - 139 - 1884 - 100 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -20*k. Let g(n) = -n - 3. Let o(f) = f - 1. Let l(h) = -g(h) + 3*o(h). Calculate -24*l(p) - 5*y(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1262336*s**3*u - 33*s**2*u + 9*s**2 + 105*u wrt s.\nAnswer: 7574016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/130730 and 127\/1438030.\nAnswer: 1438030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21047, -21042, -21027, -20996, -20943, -20862, -20747, -20592?\n\"Answer: a**3 - a**2 + a - 21048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9419588g?\nAnswer: 941958800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.4. Let l = -3092\/17 - -182. Which is the closest to 1? (a) 6\/7 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10816*p**2 + 3867*p**2 + 3875*p**2 + 3087*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-28))**(5\/2)*(m**(3\/5)\/m)\/((m**(2\/35)*m)\/m*m) assuming m is positive.\nAnswer: m**(-2501\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 11, -16, -4\/9, 3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 8*r**2 + 7*r - 4. What is c(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-2))\/((-1488)\/(-1984)) + -79?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20002200202 (base 3) to base 15.\nAnswer: 25892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 54180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 7.3, 1.549?\nAnswer: 1.549","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -1\/6, 0, 3264, -24 in descending order.\nAnswer: 3264, 5, 0.2, 0, -1\/6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 8*v + 3. Let c be m(0). Let j be (c\/(-12))\/((-3)\/24). Solve j*t - 5 = 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/30 - 2*c**5\/15 - 4*c**2. Factor f(t).\nAnswer: -4*t**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 4054 = -10759. Suppose y + 1495 = 8*u. What is the least common multiple of u and 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*s + 25 + 34, 4*s = f - 7. Let d(x) = -x**2 - 2*x + 5. Let q(v) = 6*v**2 + 11*v - 26. Let u(l) = f*d(l) + 2*q(l). Differentiate u(a) wrt a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14413*w - 14440*w + 8 - 305 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 3. Let m(u) be the first derivative of -u**2 - 4*u + 14. Calculate -3*m(j) - 4*r(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 40, 6\/11, -2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5357279, 10714557, 16071833, 21429107, 26786379, 32143649?\nAnswer: 37500917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2297992 divided by 37672.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b = -59 - 340 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133227169 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 18*a = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9805\/65 + -8 - 2\/(-13).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/6 - 2*t**2 - 5*t. Let f(g) = g**2 - 5*g - 6. Let j = -23 + 29. Let b be f(j). Give r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*s - 6, -5*o = 3*s - 6*o - 29. Let q be (5\/(-4))\/(s\/(-44)). Let a(b) = 3*b**2 - 9*b + 11. List the prime factors of a(q).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiibiibrbiiiib. What is prob of picking 2 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -0*a. Let m be 6\/(-4) + (-57)\/(-38). Find the second derivative of 0*b**a - 29*b**4 + 4*b - 7*b**4 + m*b**2 wrt b.\nAnswer: -432*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 192 + 487 = 62*p. Suppose -2*c + 3 - 1 = 0. What is the remainder when p is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 164?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*p - 4*p + 40, x + 3*p = -22. Let j = x + 28. What is the remainder when j is divided by 9 + -2 + 2 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a - 4. Suppose -5*g = -3*g + 6. Let x be c(g). Suppose 2*k - z = x, z = 5*z + 4. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 29*r**2 + 64*r - 55. Let a be s(31). Let b be -7 - (a + 2516\/(-4)). What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqp when three letters picked without replacement from {p: 2, w: 1, g: 2, s: 1, q: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 - -0.73. Let z = d - 0.07. What is the closest to 2\/3 in 1\/3, z, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 4*k**2 + k + 1. Let l be y(4). Is 578\/l - 18\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.32 times 107?\nAnswer: -248.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -g - 5*a, -10*g = -6*g - 2*a - 14 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/480 + v**5\/60 - v**4\/32 - 14*v**2. Determine o so that n(o) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b - 6. Let h be z(-6). What is the tens digit of (4 + 26\/h)*-87?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5 + p**5 - 178*p - 144 + 649*p - 546*p**2 + 252*p**3 - 2*p**5 - 30*p**4 = 0.\nAnswer: -16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 116.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 474794\/119 and 3991 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, -3, 2 in increasing order.\nAnswer: -21, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2695973 to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 209144749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f + 780. Let u(v) = 2*v**2 + 19*v + 23. Let s be u(-17). Let c = s + f. What are the prime factors of c?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932599568?\nAnswer: 2, 3, 43, 491, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2497 is divided by 114.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -187?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**3 + 6*p**2 + 3. Let h(m) = m**3 + m**2 - 2*m - 1. Let n(y) = f(y) + 3*h(y). Factor n(u).\nAnswer: -3*u*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*s**2 - s**2 - s**2 + (189 - 189 - 72*s)*(2*s + 0 + 0).\nAnswer: -163*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/39 (c) -1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238762080 divided by -245640.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 36*o**2 - 37*o - 69. Let i(n) = -n**3 + 89*n**2 + 95*n - 485. Let d be i(90). Determine x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 - 3*g. Let j be s(0). Suppose -3*l - u + 33 = j, 0 = 4*l - 7*l + 3*u + 21. Find the common denominator of 35\/16 and 4\/16*((-72)\/l - -2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 4*g - 8*g)*(-2*g**2 - 2*g**2 + 2*g**2).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 7:11 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nll when three letters picked without replacement from {n: 5, l: 3, t: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39 + -1 + -1)\/1. Suppose -2*v = 3*p - 32, -4*p - 2*v + 5*v + j = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -78, -120, -162, -204?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00548942 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/57 + 2\/19. Let s = 1 + -1. Factor -y*w + 1\/3*w**2 + s.\nAnswer: w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 638, 642, 636, 614, 570, 498, 392?\n\"Answer: -s**3 + s**2 + 8*s + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 243 = -0*p. Let u be (-1 - 3304)*p\/45. Suppose 4*f + 4788 = -q + 5*q, -5*q - 4*f + u = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 divided by 648?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 18 - 26. Suppose 0 = -3*x + 2*q + 12, -2*x + 3*q = -q. Suppose 0 = x*l + 11*l - 1309. Calculate the highest common factor of l and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p + 43*p = 5*m - 6, 2*p + 3 = m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4393 or 4389?\nAnswer: 4389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 8:49 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -2751b63?\nAnswer: -2751b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 922882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-140)*((-196)\/(-16))\/(-7)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -82545658 divided by -994526\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + k + 4*u + 28, 4*u = -28 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - -1*sqrt(153) - sqrt(153))*-1 - (sqrt(153) + (sqrt(153) + -2*sqrt(153)*2 - sqrt(153))))*-2)\/(-1*sqrt(225)*-1*-5)*5.\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/15)\/2*120*(-8)\/(-384).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 22, -1, 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, t: 1, w: 1, a: 2, g: 1}. Give prob of picking 1 y and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + x + 0*x + (3 + 2 - 3)*(3*x - 3*x + 3*x) + (3*x - 4*x + 0*x)*(-3 - 3 + 8).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 - -225 - ((-1 - 3) + -43)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 2. Let k be l(2). Let o(x) = -x + 8. Let n be o(6). Suppose -n*y + 3*y - 2 = 0. Which is the nearest to k? (a) 5 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15766 and -243072.\nAnswer: -227306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34\/5 of a millisecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 8*w + 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11925 and 90100.\nAnswer: 810900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 8 + 20. Let o(n) = 1. Suppose q - 4*v - 8 = 0, -4*v + 2 + 2 = -4*q. Let m(u) = -u**2 - 3*u + 14. Let w(p) = q*o(p) + m(p). What is w(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*d - 381*d + 29 = -186*d + 4*i, 2*d + 2*i - 12 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 393 - 135. Let r = t + -180. Which is bigger: r or 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 304130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010 - -12112?\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51662.86 litres to millilitres.\nAnswer: 51662860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17992 divided by -346?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -1. Let j be 43\/1290*4\/(-1). Let d be (-76)\/(-60) - (-6)\/(-9). Which is the closest to d? (a) 0.3 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 less than 512138.01?\nAnswer: 512136.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 - 160) + (47 - -2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/120 + v**5\/15 - 2*v**3\/3 - v**2 + 7. Let h be (-1)\/6 + 25\/6. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15a162 - -b?\nAnswer: -15a153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 862640*h - 8625900.\nAnswer: -5*(h - 172518)*(h - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.5 (c) -27\/10 (d) 9 (e) 2\/17 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/12 - (-34)\/12. Suppose a = -q - d*a + 177, 5*q - a = 990. What is the third derivative of -14*g**4 - q*g**3 + 197*g**3 + 7*g**2 wrt g?\nAnswer: -336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnlpppnzlplv. What is prob of picking 1 n and 1 v?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/336 and 169\/210?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1010?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1031565, 1031589, 1031613, 1031637, 1031661, 1031685?\nAnswer: 1031709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8863849.\nAnswer: 61, 331, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2953755?\nAnswer: 3, 5, 7, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -5, 5, -2 in descending order.\nAnswer: 5, 3\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*b)*(3*b - 2*b + b)*(1 + 2 - 4).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1830.7 + -1851.06835. Let d = q - -0.28135. Let y = -20.2 - d. Round y to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 70 + 15 = -5*j, 0 = x + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(((-2)\/6 + -1)\/6). Suppose 5*p - i + z = -154, 177 = -3*p - 3*i. Let x = p - -109. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.0541, 0.2, -0.4?\nAnswer: 0.0541","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h**2 - 3*h - 5. Suppose 68*b + 44 = -8*b - 260. Determine x(b).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqrqq. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45321*y + 28866*y + 43289*y + 11873*y + 36286*y.\nAnswer: 165635*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/590 and -99\/118.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1 (c) -43 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -6*h + 9. Let r(k) = 85*k - 771. Let x be r(9). Let w = -7 + 2. Put x, 0, h, w in decreasing order.\nAnswer: 0, h, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + 2*v**2 + 4*v + 1. Let g be u(-3). Let m = -24331 + 122099\/5. Let h = g - m. Calculate the common denominator of h and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 4 (c) -20 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 + -119. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 + 3*r + 2. Let a = 17 + -16. Suppose 3*y = j + y + 1, j = -5*y - a. Let s be k(j). Solve u - s - 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72296999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tso when three letters picked without replacement from otshhtthftwwfwo.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1387805.643s?\nAnswer: 2.2946521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:03 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4*m = -30. Suppose -195 = -5*d - 0*d. What is the remainder when d is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 + 3*l**3 - 274 - 5*l**3 - 3*l**2 - 3*l**2 + 7 to z*l**2 + n*l**3 + t*l + u and give u.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40695, -83087, -125479?\nAnswer: -167871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 411703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = -0. Let w = d + 3. Suppose w = -3*s - 4*i - 19, -3*s = i - 4 + 11. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0)*2 + -58 + 379\/7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11664 (base 15) in base 12?\nAnswer: 28104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 6}. Give prob of sequence lrrr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 146*a - 215 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5163253 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from riergejiereggjirj?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s + 1475 - 380 - 373 - 345 - 377.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**4 - 2 + 2 + 9*c wrt c.\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - r + 2*r = 287, 0 = -4*c + r + 226. Suppose -l = -2, -z - l = 4*z - c. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 21*n**2 + 195*n - 31. Calculate q(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4909, 9823, 14741, 19663?\n\"Answer: 2*r**2 + 4908*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 38*f + 1012\/3.\nAnswer: 2*(f - 46)*(f - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 115, 85, 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, k: 1, r: 3}. What is prob of picking 3 v and 1 r?\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 697 + 1200. Is g - (-1 + 2) - (-18 + 13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 9. Let o be q(9). Let z be (-4)\/o - 4600\/(-18). What is z rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 17, -1, -5 in ascending order.\nAnswer: -11, -5, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/9 + (-10)\/15. Suppose 0 = x + 3. Is x != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6620*2*(393 - (0 - 7)). What is u rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2 + 2)*(0*r + r + 0*r)*((-3 + 2 + 2)*(-3 + 21 + 2) + (-2 + 5 - 2)*(-20 + 6 - 12)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133301 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60292 + 60291.8. Let s = 2.1 - 0.1. Sort -40, s, r, -1\/4 in descending order.\nAnswer: s, r, -1\/4, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*o = 25, p = -5*o - 0*o - 13. Let n be 81 + (-3 - p - -2). Suppose -2*t - 58 = -n. Solve t = -c - c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 80*n**2 + 906*n + 1361. Determine o(66).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6974, 6983, 7004, 7043, 7106, 7199, 7328, 7499?\nAnswer: 7718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m**2 + 3*m)*(0 + m**3 + 0) - m**5 + 2 - 2 + (9*m**3 + m**3 - 2*m**3)*(12*m**2 + 0*m**2 - 48*m**2).\nAnswer: -286*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 + 259. Suppose -h + p = 4*h. Suppose 8 = 2*v - 4*m - 12, 2*m - 2 = 0. Calculate the greatest common divisor of h and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l**2 - l + 1. Let u(f) = -5*f**3 + 5*f**2 - 10. Suppose -15 = -5*z + 35. Let i(g) = z*n(g) + u(g). Factor i(w).\nAnswer: 5*w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83800.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(3*k + k - 6*k)*(-5*k - 6 + 6) - 8229 + 8229 - 126*k**2.\nAnswer: -146*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2148 - 2147.0996. Let d = -0.9 + x. What is d rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6850543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2810250266 + -9.9354.\nAnswer: -2810250275.9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20585592473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 482339928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1 + 2 - sqrt(396))**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 - 164. Let c(n) = n**2 + 73*n + 0*n**2 + 1 - 29*n - h*n. Let z be -8 + 1 + -2 + 2. Give c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(135) - (sqrt(135) + (sqrt(135) + 1*sqrt(135) - sqrt(135)) - sqrt(135))))\/(sqrt(9)\/sqrt(3)*2*4) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 9*f. Let z(o) = 11440*o**2. Calculate h(z(t)).\nAnswer: -130873600*t**4 - 102960*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.5. Let s(l) = l + 5. Let d be s(-6). Let z = 286\/9 + -32. Which is the second smallest value? (a) i (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44*(-2)\/8)\/(-1) + 5175\/525?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7360 = -18*n. What are the prime factors of n?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 86*r**2 - 35*r - 17. Let q be d(-10). Let i(y) = -2*y**2 - q*y + 7 + 8924*y + 3*y**2. What is i(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.166?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 1. Let c be j(0). Let b be 27\/(-42) + 1\/2. Which is greater: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 4*u + 10. Let f be (-19)\/(-4) + (-18)\/24. Suppose -2*k = -f + 10, -u*k + 20 = p. Calculate the smallest common multiple of 20 and p.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22244 (base 5) to base 4.\nAnswer: 120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q = 106*q - 38. What is the highest common factor of 152 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(3\/(-6)). What is the common denominator of 85\/24 and 125\/(-30) + u\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-11)\/(-4) + -3). Suppose 2 = l - 2*l - t, l + 17 = -u*t. What is the first derivative of 18*y**2 - 32*y**2 + 14*y**2 - 6*y**l + 6 wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 2*p**2 + 2. Let k(j) = 3*j**3 - 6*j**2 + j - 7. Suppose 2*v + 10 = 4*c, -5*v - 2*c = -2*v + 23. Give v*o(q) - 2*k(q).\nAnswer: q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, -7, -21, -35?\n\"Answer: -14*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + w + 1. Let d(s) = s**4 - 22*s**3 - 7388*s**2 + 11*s - 7936. Let r(j) = 11*c(j) - d(j). What is the derivative of r(m) wrt m?\nAnswer: -4*m**3 + 14776*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, 4, 106, -112, 2.\nAnswer: -112, -19, 0, 2, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -274751817?\nAnswer: 274751820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -28*n + 83 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 6*f + 392. Solve 4*v = -3*i - f, 0*v + 20 = -v - 4*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27985 * 5.5\nAnswer: 153917.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -353534*m + 353534*m - 382*m**2 to the form c + k*m + a*m**2 and give a.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**4 + 52*g**2 + 3496*g - 47284 wrt g.\nAnswer: -4*g**3 + 104*g + 3496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 193*(-2)\/(-6)*3. Let u be 63588\/196 - 3\/7. Let b = u - v. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63991, -127992, -192007, -256042, -320103, -384196?\nAnswer: -448327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11823, -11818, -11813?\n\"Answer: 5*s - 11828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/9 - 4*a**4\/9 - 2*a**3\/3.\nAnswer: 2*a**3*(a - 3)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 772\/12 - 4\/12. Let v = 78 - x. Suppose -4*d - 2*h + v = 0, 5*d - 3*h = -h - 5. Which is the closest to d? (a) 1 (b) -2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.066 + 35.0605. Let t = i - -10. What is t rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140738469 a multiple of 2188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/12*6)\/((-27)\/(-72)). Suppose 2*k = -2*k, -n*x = -k - 12. Solve o - x = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 5 - 3*p + 0*p**2 + 2\/3*p**3. Differentiate a(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -3*h, -5*h + 17 = -h - 3*b. Let a be 2*h*(-2)\/(-4). Let c = 11 - a. Solve -c*d + 4*d = 3*t - 7, -3*d + 5*t - 13 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 3*p + 3. Suppose 4 = -2*s + 2. Let y = s - -6. Which is the biggest value? (a) -0.5 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*h + 443, -2*x - 68 - 151 = -5*h. Let q(f) = f**2 + 7. What is the lowest common multiple of 4\/14 + (-2432)\/x and q(3)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = -4*l - 150, -2*k + 126 = 3*l. Suppose 2*n = 5*z + 3*n - k, -z = 4*n + 2. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -98.8. Let r = x - -76. Let z = 17 + r. Sort 3\/5, -1\/4, z in descending order.\nAnswer: 3\/5, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736598 > 2736435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c + 0*c**2 + 0*c**6 - 3\/7*c**7 + 2 + 0*c**4 + 0*c**5 - 1\/3*c**3. Find the third derivative of l(t) wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 = 0, 274 = -4*l - t + 270 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from bwwxxxwxwwwwwxwww?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.39 + -34.39004374. Round t to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = d + 19. Suppose -j - 1 = -d*j + 2*q, 4*j - q - 18 = 0. Suppose -j*h - 82752336 = 22247664. What is h rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(2736) + -1 + 0)*-1)**2.\nAnswer: -26*sqrt(19) + 3212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57610 is divided by 97.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(7\/693). Suppose -4*a + 4*p = a + z, 12 = -4*a - 4*p. Let j(c) = 2*c + 4. What is j(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -9 (c) 0.2 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/(-15) + (-1)\/5. Let t be (-1 - -1)\/(s\/(-3)). Suppose t = -0*f + 8*f - 16. Solve -q = 3*n + 18, -4*n - 6*q = -f*q + 32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*o**5 + o**3 - 3*o**2 + 10.\nAnswer: 12180*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 802297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69847 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126884*u**2 - 95*u + 126884*u**2 + 67 + 5*u**3 + 83*u to the form o + v*u**2 + p*u + b*u**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 41 = 4. What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/11022276 and 151\/90.\nAnswer: 165334140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:21 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37106811 and 5310?\nAnswer: 371068110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1) + (7 - 10). Let c = -8 - k. Let n(o) = -2*o - 1. Determine n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*i = -k - 3, -3*i = 5*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.4 plus -2?\nAnswer: -148.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688 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 v(z) = z**2 - 18*z + 6. Calculate v(21).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 12. Let z be a(-8). Suppose 93 = z*i - 487. Suppose -8*x + 3*x = -i. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338*-6.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 5*k**2 + 2*k + 0*k - 3 - 4*k**2. Let w = -22 + 29. Let i(z) = -z**2 + 0*z**2 - z**2 + 3*z + w. Give 2*i(a) + 5*p(a).\nAnswer: a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42, 5, 0.3, -4, -1.1, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1355742 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 + 1863\/(-45))*25\/14.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*g**2 + 143*g**2 + 133*g**2 + 144*g**2.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*l, 2*o + 5 = -l + 20. Suppose 0 = -l*t + r, r = 2*t - 4*t + 7. What is the derivative of j**3 + 2*j + t - 2*j wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13025800 to the nearest one hundred thousand.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 134*w**2 + 1327*w + 2653. What is a(-2)?\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 7*h - 6. Let o be u(5). Suppose 123 = -o*v + 135. Calculate the lowest common multiple of v and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286015801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 4. Let a be t(-2). Suppose -a*f + 7*f - 2*l = 18, 3*f = -4*l - 10. Solve f*r = r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -3 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/((-10)\/6)*(2735040\/1152)\/407.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -22740a (base 16) to base 9\nAnswer: -4221261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -2.7 in increasing order.\nAnswer: -2.7, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 43.3.\nAnswer: -4.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -18*i + 37 + 7. Solve 0*q - 2*j = q + 2, -i*j = -4*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wajjw. Give prob of sequence wj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -610\/9 + 68. What is the fourth biggest value in -3.2, -9, -1, d?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p - 14 - 31 + 6. Let k be q(-6). Suppose k*j + 2*s - 775 = -2*j, -5*s - 740 = -5*j. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*14\/(-42)*-3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 2*w**2 - 4*w**2 + 4*w - 2*w**3 + 7*w - w.\nAnswer: -2*(w - 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3141606090?\nAnswer: 2, 3, 5, 7, 103, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:42 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/(a*a*a**0))\/(a\/(a\/(a*a*a**(1\/4))))**42 assuming a is positive.\nAnswer: a**(-1355\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857136769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 (base 6) in base 3?\nAnswer: -21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8*y = -6*y + 40935, 5*v = -3*y - 204675. Let i = v + 60490. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99.9 - 92. Let r = -8 + m. Which is the closest to -2? (a) 2 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9\/d**(-11) assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, 9\/29 in increasing order.\nAnswer: -2, 0.3, 9\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -117*f**2. Let w(b) = -333*b**2. Give k(w(i)).\nAnswer: -12974013*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - -9) + (-9)\/(9\/3). Let i(m) be the first derivative of m**2 + 266. Let a(f) = f**2 + f. Calculate j*a(k) + 3*i(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14800076*a - 20679837.\nAnswer: 14800076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1466, -6138, -14564, -27266, -44766?\nAnswer: -67586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1328 = -4*c + f, -3*f + 792 + 528 = -4*c. Let b = c - -477. Calculate the highest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (50 - 3)\/(4 + -3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((12\/9*(-45)\/15)\/6). Solve 4*u - b + 3 = 3*z, 0 = -z - 5*u - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 10*l**2 - 10*l + 8. Let q be x(9). Let b be q\/2*48\/(-18). Is b < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/184 and -71\/92.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -203\/3120 and 71\/234.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.326 - -1\nAnswer: 1.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -y - 0*y - 2, -4 = 4*y. Let u be 1\/(z - 42\/(-36)). Solve -4*b - 4*v = 8, v = b - 3*b - u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 7 - 7 + (-3*h + 5*h + 0*h)*(0 + 3 - 2))*(-6 + 2*h + 4 - 1) in the form a*h**2 + l*h + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -44.9. Let j = 15.9 + a. Let m = j - 11. What is the third biggest value in m, 0.03, 2\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = 3*c - 6*h, 3*c + 2*h - 19 = 0. Solve -4*p = -5*p - c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**5 + 180*b**4 - 3483*b**3 + 30294*b**2 - 123444*b + 192456 = 0.\nAnswer: 6, 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164329*g**2 + 82689*g wrt g?\nAnswer: -328658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5252217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01968336 rounded to four decimal places?\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-16701*l + 518*l**2 + 16701*l).\nAnswer: 518*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/2 - 9. Let s = -0.33 + 0.03. Let l = s - -0.6. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 18511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 4*(sqrt(720) + 0) + sqrt(720) - -4*(sqrt(720) + sqrt(720) + 2))**2.\nAnswer: 2688*sqrt(5) + 141184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 88\/(-187)*11\/(-10). Let h = u + -2\/17. Which is smaller: 0.8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*j - 11, j - 4*j + 8 = w. Suppose 195 - 66 = j*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 44 = -64 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0 - 8*h - 1 + 14. Let y be (-1*(-4)\/4)\/(14*1\/28). What is r(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**6\/120 + j**5\/10 - 13*j**4\/12 + 113*j**3\/6 + 23*j**2 - 2*j. Calculate the remainder when 19 is divided by g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/110*10*130\/(-30)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n**2 - 43*n**2 - 43*n**2 + 104*n**2 + 14 - 14.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from xxhxfxxhh.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/23)\/((a**(-2\/7)*a)\/a)*(a\/(a\/(a*a\/a**(-1))))**(-37) assuming a is positive.\nAnswer: a**(-17811\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/15, -5, 2 in ascending order.\nAnswer: -5, -0.3, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21414 - -227574. Is ((-1)\/(-6))\/(40\/t) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 + -166. Round q to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705920.\nAnswer: 2, 5, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + a**2 + 3*a - 83. Let j(d) = 2*d**3 + d**2 + 2*d - 83. Suppose -4*s - 20 = s. Let n(h) = s*j(h) + 3*y(h). Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 13*a + 28 - 4 = 0, -3*l + 2617*a - 69 = -0*l + 2620*a for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 13*f = 4*f + 4*s - 12, -2*s + 0*s = -14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.38 + 5033\nAnswer: 5031.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1600\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1*j**(-7)*j)\/(j**(1\/8)\/(j\/(j\/(j*j**(6\/11)))*j)) assuming j is positive.\nAnswer: j**(-315\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 105*x**2 + 22*x - 6949. Is a(-77) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xzzd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-23 + 10 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2500 - -3957. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -382*z**2 + 56*z + 111. Let b(m) = m**2 + 4*m + 3. Let k(t) = -70*b(t) + 5*y(t). What is the first derivative of k(w) wrt w?\nAnswer: -3960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -140, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4*(-4)\/6*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**4 + t**2 - t**2 + (2*t**4 - t**4 - 2*t**4)*(5 - 6 - 1).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*y + 11, 5*y - 6*w = 1195 - 1164 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 3*t - 21 + 299*t**2 - 50 + t.\nAnswer: 299*t**2 - 2*t - 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -469967, -469968, -469969, -469970?\n\"Answer: -b - 469966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3024556256 - -1?\nAnswer: -3024556255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 - 3*h**2 - 5*h + 7. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 28*b**3 + 152*b**2 - 28*b - 136. Let u(v) = 9*v**3 + 50*v**2 - 9*v - 45. Let m(j) = 5*c(j) - 16*u(j). Let m(y) = 0. What is y?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 14*t**2 - 14*t + 19. Is j(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.3 + -51.2999994887. What is n rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)\/(x\/(x*x**(-3\/8))*x))\/((x**(2\/15)*x)\/x**(-4)) assuming x is positive.\nAnswer: x**(-871\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 277*w - 12. Let j(v) = 72303*v - 3130. Give -6*j(p) + 1565*o(p).\nAnswer: -313*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 209*b - 212*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 9. Let j be z(-6). What are the prime factors of (-20)\/(-1) + (-4 - j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206, 2339, 3350, 4179, 4766?\nAnswer: 5051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1726 + -1731. Which is the closest to 2\/7? (a) -0.5 (b) j (c) 23 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235 - g - 2*g**3 + 13*g**4 - 235 to the form t*g**2 + c*g**3 + d*g + k + u*g**4 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14068730 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9270, 9285, 9300, 9315, 9330?\n\"Answer: 15*f + 9255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 206548 + 67340 = 0. List the prime factors of m.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67\/339 in -0.01, 0.3, 2, -0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v + 24*v - 450 = -1555 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3 + 10*o - 8.\nAnswer: 10*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmb when three letters picked without replacement from {v: 2, m: 2, u: 6, i: 1, b: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.8 + -27793513393.\nAnswer: -27793513410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7533\/81*((-1)\/(-4))\/((-48)\/(-64))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4446, -8857, -13268, -17679, -22090?\n\"Answer: -4411*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 1, b: 8, d: 5}. What is prob of sequence dd?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -2*p**3\/3 + 3*p. Let s(i) be the third derivative of -i**4\/12 + 16*i**2. Determine a(s(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -365, 70 in descending order.\nAnswer: 70, 2, -1, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23022010 (base 4) to base 13\nAnswer: 17a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 9*b - 15. Let x be n(6). Let y be (1 - 0) + (2 - x). Solve y*u = -3*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 20204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 321201*l**2 + 3.\nAnswer: 321201*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -2*x**3\/3 + 2*x. Let s be c(-1). Suppose 14 = 2*p - s*d, 3*d + 10 = 5*p - 46. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 96*h - 1498. Determine x(34).\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*j**3*p - 3310*j**3 + 3*j**2 + 144*j*p - 49*p + 441 wrt p.\nAnswer: -192*j**3 + 144*j - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 2651, 9004, 21371, 41756, 72163, 114596?\nAnswer: 171059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/3 + 8*y**2\/3 = 0. What is y?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (10 + (-6 + -1 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -53*p**5 + 141*p**4\/4 - p + 1498. What is the third derivative of k(g) wrt g?\nAnswer: -6360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116899164 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven fifths of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/8)*n\/((n**(2\/19)*n)\/n)*(n\/(n**9\/n))\/n*n**(-2\/15) assuming n is positive.\nAnswer: n**(-15649\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 11110722.\nAnswer: -5\/11110722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18355517 and 6331?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 212 = -4*g - 2*g, -5*g - 21 - 177 = -2*p for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -2)\/(-2) + 224\/(-80). Let q = 52\/15 + o. Which is the smallest value? (a) q (b) -0.5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3355017.6161\nAnswer: 3355013.6161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25257 divided by -20?\nAnswer: -25257\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/437?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.5 + -24.4. Which is the closest to -1? (a) h (b) 1 (c) -0.5 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000413626978 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*p**3*q*w + 27*p**3*q + 3*p**3*w + 2*p**3 - 3*p**2*q*w - 2*p**2*q + 3*p**2 + 99*q*w - 6*w wrt p?\nAnswer: 72*q*w + 162*q + 18*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*w - w + 43, 4*w + 2*v = 38. Suppose w*x = -0*x. Sort -1, x, 3 in decreasing order.\nAnswer: 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27578445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 61. Is i at least -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -2.93. Let w = 6460 + -6457.007. Let h = i + w. Round h to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 7. Let p = -1 - u. Let h = -1 - -1. Solve 3*b - 17 = -b - p*f, h = 4*b + 4*f - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2 + 11*p - 18. Calculate w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r**2 - 86*r + 16. Is m(15) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 0, 16, 48, 102, 184, 300, 456?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) - -3*(sqrt(132) - sqrt(132)*2 - sqrt(132))))\/sqrt(12).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 0*y**3 + 0*y + 1\/105*y**7 + 3*y**2 + 0*y**5 + 0*y**6 - 1\/6*y**4. Find the second derivative of w(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6176 + 9887. What are the prime factors of c?\nAnswer: 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*k**2 + 18460758*k - 4102392.\nAnswer: 3*(k + 683732)*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -533.\nAnswer: 22\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 97. Suppose -6*o = -z*o + 4. Suppose -o*d = -7*d + 25, 0 = 5*y + 2*d - 155. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - 1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 222\/8 + 2 - (-16)\/64 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/2))\/s**(-2\/9)*((s**(-2\/5)*s)\/s)\/s**(-2\/11)*(s**(-2\/5)\/s)\/(s**(-5)\/s*s)*s**(3\/2)\/(s*s**(1\/3)*s) assuming s is positive.\nAnswer: s**(2114\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 4351*h + 4350*h + 3, 3*v = -3*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/6 - 1741397*j**2\/6 + 379046184248*j\/3 + 3411627241248 = 0. Calculate j.\nAnswer: -27, 870712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4\/5 + 6499488*u**3\/5 - 2640189517848*u**2\/5 - 15841312593696*u\/5 - 23762056633956\/5 = 0 for u.\nAnswer: -3, 812439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/255378 and 2\/51?\nAnswer: 4341426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s**2 - s**2 - 2*s**2)*(10*s - 31*s + 11*s + 2 + (2 - 2 + 1)*(2*s - 2 + 2)) as k*s + g + i*s**3 + j*s**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 36378 = -37512 + 73143. What are the prime factors of l?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.27 (b) -6 (c) -18 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(176) - ((sqrt(176) - -4*sqrt(176)) + 2)) + 4*(3 + sqrt(176))))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/(-14) + 4\/14. Let z(v) = v**2 - 3 + v + 0 - 3*v. Let r be z(b). Solve -9 = -5*m - w, 3*m + 5*w = 2*m + r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 78, -5, -480 in decreasing order.\nAnswer: 78, -1, -5, -8, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1112.37842 and -2.21943?\nAnswer: 1110.15899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -722122 + 30799225420\/42651. Let o = 1777117\/170604 - d. Let y = -16799987\/242 - -69421. Calculate the common denominator of y and o.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s**3 - 23*s**3 - 24*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(104)\/(-1*sqrt(1152)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r**4 - 1\/3*r**3 + 0*r**2 - 5 + 0*r + 1\/5*r**5. Determine a, given that o(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*1*sqrt(180) - sqrt(180))\/(sqrt(1089) + (sqrt(1089)*-1 - sqrt(1089)) + sqrt(1089) - sqrt(9) - sqrt(9))*2.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxcpylypyxlxlxyp. What is prob of picking 1 l, 1 p, and 1 x?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2248*k + 4502*k - 1456*k)*(-3*k**2 - 4*k - k + 4*k**2) to the form w + s*k + y*k**3 + a*k**2 and give y.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2642 from -0.02.\nAnswer: 2641.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357738337?\nAnswer: 17, 79866961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5725 is divided by 1430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 118*f**2 + 1860*f - 90. Give s(-14).\nAnswer: -3002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492601575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 51. Suppose -5*y + 2*z = -2*y + k, 44 = -4*y + 4*z. Let m be 6 + y - (1 - 3). Solve -r - 4 = -3*l, 2*l = -2*r - 2*l + m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (-828)\/90)\/(2\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 8*n - 3. Let i(b) = b**3 + 14*b**2 + 31*b - 16. Suppose -k + 2*k = 3*x + 37, 4*k - 16 = 0. Let t be i(x). Calculate z(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 = 3*r - l, -l = 3*r - 13. Solve -h + 2*y - r = -9, 4*h - 9 = 3*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 318470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (18 - 11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -10 - -6 - -14 - (42 + -53).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 61 = -36 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/17)*f)\/f**(-2))**(-2\/111)*(f**(1\/2)*f)**(-36)*f**(-2)\/(f**(4\/3)*f) assuming f is positive.\nAnswer: f**(-110173\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from xpyfxbplfbfp?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and 12.4?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.277999 days in seconds?\nAnswer: 196819.1136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3346 and 12316626.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g**3 + g**2. Let f be d(1). Let i = 42 + -5. Let w = i - 38. Is w greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64727 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -99763, -0.1, 2, -3, 3\/5, -3\/2, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 - 475*f**3 + 347 + 16*f - 114 - 112 - 11*f in the form y + j*f**2 + g*f + k*f**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 9*a**2 + 2*a - 15. Let q be j(4). Which is smaller: 42 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/50 + k**3\/5 - 2*k**2\/5 + 9*k. Find c such that u(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -1)\/((-4)\/(-34)). Suppose -4*z - 3*u = -5*u - 56, u - y = -z. What is the remainder when (-28)\/(-6)*(z + 0) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 34*h**4\/15 + 38*h**3\/15 - 2*h**2 - 38*h\/15 - 4\/15 = 0.\nAnswer: -1, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000404124244 - 4?\nAnswer: 1000404124240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475 is divided by 73?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15729*u - 133 = -5*l + 15735*u, 2*l = -0*l + 25*u + 121 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + (-2 - -6))*5. Let d(x) = -8*x + 25. Does 30 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywkwydytttyywtytywty. What is prob of sequence wd?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqtudeeq. Give prob of picking 1 e and 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*((-72)\/(-20))\/(-6) + -7. Let h(j) = 4*j + 6. Let q(n) = -5*n - 5. Give s*q(m) - 3*h(m).\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 306. Suppose 0 = -7*j - 270 + k. Find the common denominator of (-1148)\/160 - (-3)\/j and -71\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 30a?\nAnswer: 30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 8*r**2 - 3*r - 9. Give d(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -3\/2*j**4 + 25*j**2 + 0 + 5*j**3 - 53*j + 1\/10*j**5. Let w(b) = 0. What is b?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 7. Let v be g(-7). Suppose -2*w = -v - 26. Solve -3 = -4*f + w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11923 - 321956\/27. Let s(r) = r**2 + 23*r + 79. Let h be s(-19). Calculate the common denominator of b and 70\/(-28) - (-44)\/h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-12)*(-52)\/(-104)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (-46 + 32) - (2 + -13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 16 = -4*w, -f = -0*f - 5*w + 2. Solve -2*a = -0*a - f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11124 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9)\/(19 + 1020\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249408212?\nAnswer: 2, 19, 3281687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {c: 3, j: 5, v: 5}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/2 - 71*c**2 + 3713*c\/2 + 49928 = 0?\nAnswer: -16, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 - 250*y**2\/3.\nAnswer: -2*y**2*(y + 125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31100 and 600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 7*y. Let w(q) = 2*q**2 - q. Let b be w(2). Let n be i(b). What are the prime factors of (6\/(-9))\/((-4)\/n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/117 - -1271\/936. Let v = -5\/4 + g. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, 1 y, and 1 e when four letters picked without replacement from oyeppypyeye.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 48\/(-9) - 16\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 5*m + 2*j - 20, 0 = m + 3*j + 4. Let c(f) = -f**2 - 5*f. Calculate the least common multiple of c(m) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -12\/13, -1\/13 in decreasing order.\nAnswer: 9, -1\/13, -12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43473308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((400\/480)\/(10\/8))\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47800373*r**2 + 1202*r + 2949 wrt r?\nAnswer: -95600746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6960))\/(30\/(-180))*(-10)\/(-4)*2?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139158420.\nAnswer: 2, 3, 5, 853, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 91491.107 and -19.\nAnswer: 91472.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33432, 66856, 100290, 133734, 167188, 200652?\n\"Answer: 5*i**2 + 33409*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 5*w + 3*w - 3*w - w + w - 11*w - 3*w + w + 0*w + (0*w + 4*w - 6*w)*(-2 + 1 - 1).\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1344 = -3*c - 3*v, 2*c = -c - 5*v + 1344. What is the remainder when c\/48*(26\/4 + 1) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1958 = -29*n + 2015. Does 32 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 10874207?\nAnswer: 32622621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + 33 + -34 + 30\/12. Let w(i) be the first derivative of -1\/6*i**6 - 2\/5*i**5 - 13 - 2*i + 1\/2*i**4 - 1\/2*i**y + 4\/3*i**3. Factor w(s).\nAnswer: -(s - 1)**2*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*c - 1244*c - 11*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/4 + 253*b**2\/4 - 127*b\/2 = 0. What is b?\nAnswer: -254, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*r + 93*r = 184 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33 times 47.525\nAnswer: -1568.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f + 4*v - 16, -4*v + 16 = 5*f. Suppose p + 5*j - 16 = f, 2*p + 2*j - 8 = -2*j. Let x be (-2)\/p + 33\/(-22). Let r(q) = -4*q**3 - q. What is r(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 789480259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(45)\/(sqrt(9) - sqrt(9)*-2*-3 - sqrt(9)) - (-4 + sqrt(60)\/sqrt(3) + 2).\nAnswer: -8*sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sum 372980 and 13.\nAnswer: 372993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/8 + 77\/21*18\/(-48). Which is the third biggest value? (a) 3 (b) 4\/7 (c) 9 (d) t (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 77 = -b + 5*b + 67, 3*b + 40 = 5*o + 10*b for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -30 + 3 - -3. Let q = f - -35. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/95 + 6\/95. Which is the second biggest value? (a) 11\/3 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 463972347 and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-8))\/(2\/8). Let j = -2.774 + 3.074. Which is the closest to l? (a) j (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4212))\/sqrt(4) + (sqrt(13) + 1 + -3 - (1 + sqrt(832))))**2.\nAnswer: 96*sqrt(13) + 3337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1931*h = -1954*h + 3855*h - 1020 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2627*t - 2625*t = -4*u - 28, -5*u - 54 = 51*t - 39*t for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1604\nAnswer: -1604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.049499 and -0.4.\nAnswer: -0.0197996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1253 + -3095542350\nAnswer: -3095541097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**2*t**2*v**3 - 2*o**2*t**2 - 7*o**2*t + 789*o*t**2 - 6*o*v**2 + 222*t*v - t - 2*v**3 wrt t?\nAnswer: -6*o**2*v**3 - 4*o**2 + 1578*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050 and (-35)\/(-7) + (12\/(-6))\/((-6)\/195)?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2748711 by 916237.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3*sqrt(7) + 4)**2 + -3.\nAnswer: 32*sqrt(7) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -41*p. Suppose 114*j - 322*j = 0. Let d(l) be the second derivative of 0*l**2 + 1\/12*l**4 + 0 - 10*l + j*l**3. What is v(d(a))?\nAnswer: -41*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999355 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13815, -55897, -126245, -224859?\n\"Answer: -14133*a**2 + 317*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2 - (-12 - -8). Factor o*y - 3\/8*y**4 + 3\/2 + 3\/8*y**5 + 3\/8*y**2 - 15\/8*y**3.\nAnswer: 3*(y - 2)**2*(y + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 32*p**6\/9 + 144*p**5\/5 + 155*p**4\/3 + 313*p**3\/9 + 11*p**2 + 5*p\/3 - 23. Factor f(u).\nAnswer: (u + 1)*(u + 5)*(4*u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 99*v + 4839, 4*v + 393275 - 393082 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 5. Let m be z(6). Suppose 4*g - 9 = 3. Suppose -2*u = -5*n - 11, 10 - 1 = g*u - 5*n. Put m, u, 2 in increasing order.\nAnswer: u, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 625 + -5573\/9. Let q be 6 + -6 - (-6)\/(-1508). Let s = -29023\/1508 + q. Find the common denominator of r and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761617537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + 1110022200?\nAnswer: 1110101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*f - 10, -14*f - 17 = 4*c + 53 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + -25.7.\nAnswer: -25.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 17 = -a, -2*a - 77 = -k - 88 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - q**2)*(-2 + 4 - 3) + 2348*q**2 - 395*q**2 - 869*q**2.\nAnswer: 1085*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, p: 2, v: 5, n: 4, f: 3, a: 1}. What is prob of picking 1 n, 2 p, and 1 g?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 5?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqqoaoaoawpoa. What is prob of sequence paw?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086006386.\nAnswer: 2, 543003193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 258 and 87578229.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587*b + 24 = -4*o - 584*b, 0 = -4*b + 16. What is the biggest value in -60, 2\/3, o, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-8) - (-1 + (-5)\/(-8)). Let d = 207\/11 - 19. What is the second smallest value in 1, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 70. Let k(b) = -b**3 + b**2 + b. Let u(z) = -23*z**3 - 8*z**2 - 6*z - 61. Let o(g) = j*k(g) + u(g). What is the first derivative of o(n) wrt n?\nAnswer: -87*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8589 + 8591 - 17180 - 25*o**2. Let y(h) = -h**2 + h. Calculate f(y(p)).\nAnswer: -25*p**4 + 50*p**3 - 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10047611*i**3 - 939025*i**2 + 15 wrt i?\nAnswer: -60285666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 3*r**2 - 3*r + 1. What is a(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009635803 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24971 + 384*f + 24807 - 49778.\nAnswer: 384*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from nxnxxwxzznxxxnxxx?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 15, -g - 36 = 2*c - 1. Sort c, -8, 0, -4 in descending order.\nAnswer: 0, -4, -8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 2, e: 2, t: 1, z: 1, f: 2}. What is prob of sequence bpe?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + -13 + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*w - 42, -4*w = -6*h + h - 31. What is the remainder when (-1)\/2 + (-1224)\/(-48) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36395.57 litres in millilitres?\nAnswer: 36395570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 4964?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956218 is divided by 488690.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 3:39 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -4*u - 8*u**3 + 43 + 4*u**4 - 4\/5*u**5 + 8*u**2. Factor b(l).\nAnswer: -4*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + -10 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7100262.\nAnswer: 2, 3, 13, 19, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, l: 5}. What is prob of sequence ll?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466 = 2*t - 9*a + 4*a, -3*t + 4*a = 699. Let r = t + 416. Let v = 316 - r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -1) + (-1 - -16) + (-29 - -14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7211 and -0.113?\nAnswer: 814.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19569833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2331 or -2317?\nAnswer: -2317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 305, 3 in descending order.\nAnswer: 305, 3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**6\/18 - 25*r**4\/12 + 29*r. Let k(f) be the third derivative of s(f). Let w(b) = -2*b**2. What is w(k(g))?\nAnswer: -3200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**5\/60 - 7*v**4\/24 - 7*v**3\/6 + 9*v**2 - 16. Let z(u) be the second derivative of k(u). Calculate z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t - 16 = 0. Let s be 94\/6 + (-3)\/(-9). Let o be 14\/(-21) + s\/6. Put o, -2, t in descending order.\nAnswer: o, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -207, -850, -1921, -3420, -5347, -7702, -10485?\n\"Answer: -214*h**2 - h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*v**2 + 16 - 29 + 9 + 7*v - 88*v**2 to k + n*v**2 + c*v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 70\/70*(-7)\/14*10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18519115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18656*d**3*v - 55529*d**3 - 15*v wrt v.\nAnswer: 18656*d**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/7084176 and 137\/644016.\nAnswer: 7084176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -47.003 <= -283\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*q**3 + 800645*q**2 + 236317*q - 269.\nAnswer: -294*q + 1601290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -2, -9, -20, -35?\n\"Answer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n - 425 - 5*n + 379 - 2*n**2 to m*n**2 + p + w*n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3609*t**4 - 22*t - 93?\nAnswer: 43308*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmmamaa. What is prob of picking 1 a and 2 m?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5381, -5345, -5309?\nAnswer: -5273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(475) + 0 + 2 + sqrt(475) + 0.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096683ng in tonnes?\nAnswer: 0.0000000000000000096683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19907286.\nAnswer: 2, 3, 7, 157, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) - (sqrt(153) + 4*sqrt(153)*1) - sqrt(153))\/sqrt(9) - (-2*(0 + sqrt(68)) - (-1 + 1 + sqrt(68))))**2.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 14033\/5399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.836330643 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:18 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*b - 662 = 0, d + 5*b + 2335 = 8*d. What is the highest common factor of 268 and d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, p: 7}. Give prob of sequence pppp.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-28)*((-288)\/(-60))\/6)\/(9\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071\/5167 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552011864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19865 * -0.5.\nAnswer: -9932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Let w = v - -8. Suppose w*g - 69 = -24. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 764. Let q(d) be the second derivative of -d**4\/6 - 5591*d. Determine g(q(f)).\nAnswer: 18*f**2 - 764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14594525\/101097478 + 2\/211501. Find the common denominator of v and 34\/3.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 50*b**4 + 60*b**4 - 3*b**2 + (3 + b - 3)*(b**3 - b**3 - b**3).\nAnswer: 9*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2579 - 81*i + 2570 - 344*i - 5149 to the form h*i + q and give h.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 + 0.5. Let w = -0.3 + 0.26. Let f = h + w. Which is the second biggest value? (a) -0.1 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149068 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/63583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*t - 1284 = -15*t. Let u(x) = -5*x - 58. Let h be u(t). Factor -4\/3 + 14\/9*r - 2\/9*r**3 + 0*r**h.\nAnswer: -2*(r - 2)*(r - 1)*(r + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 8. Let l(c) = -2*c - 5. Let s be l(u). Let w = s + 12. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 4*u + 24*u**3.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124697, -249339, -373981, -498623, -623265?\nAnswer: -747907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 60434?\nAnswer: 60435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 171 - 26 = 0. Solve 2*b + 3*b + a = -2*n, 0 = 2*n - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2929509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 4*r + 10. Let i be g(3). Suppose -2*s - 71 = -4*d + 3, 4*s = i*d - 84. What is the lowest common multiple of 10 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 1702.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 899 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 - -0.13330699?\nAnswer: -260.86669301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34335358.\nAnswer: 2, 17167679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(3\/(-8)). Suppose -1 = -3*w - o, 2*w + 11 = 3*t. What is the common denominator of (-15)\/(-4)*(-34)\/t and 9\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -961 in decreasing order.\nAnswer: 2, 1, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 600 = 18*k - 5*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -c819 (base 16) to base 10\nAnswer: -51225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*n, 3*n + 5 = -3*r - 13. Suppose 0 = 5*s - 32 - 3. Let y(f) = -2 + 15*f - s*f - 4*f - 5*f. Let u(c) = -c - 1. What is r*u(t) + 2*y(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/72 - m**5\/3 - 10*m**4\/3 + 11*m**3\/6 - 15*m. Let f(v) be the second derivative of w(v). Factor f(j).\nAnswer: -5*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14490\/(-108))\/161*(-16)\/10*(-4)\/(-272).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 301137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 (base 10) in base 12?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -1.18\nAnswer: -20.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 3963.\nAnswer: -4\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010211210 + 100202022?\nAnswer: -210002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 1*(0 + 6*(sqrt(605)*1)**2*-3)).\nAnswer: 32676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 - 43 + 101*f + (-4 + 0 + 2)*(2*f + f - 4*f) + 1 - f - 1.\nAnswer: 102*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 29*z - 2. Calculate x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 8*x - 4. Let i(g) = g**2 + g. Let m(r) = d(r) + 5*i(r). Let v be m(2). Calculate the greatest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 1471*v**2 - 1480*v**2 + 0*v + 3*v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01852932 to four decimal places.\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 7*h**2 - 18*h - 1. Let z be p(9). Let t(j) = 1 + 2*j**2 + 0 - 2 - 3*j**3. Determine t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + m + 338, 66 = z + 2*m - 266. Suppose 0 = -y + 5*y - z. Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9872185 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Let f(t) = t**3 - 8*t**2 - 5*t - 4. Let m be f(8). Let h = m - -48. What is the greatest common divisor of h and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 4 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -45348?\nAnswer: 1\/45348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4487, 5736, 6985, 8234, 9483?\n\"Answer: 1249*q + 3238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 + 2*l**2 - 25*l + 144. Let q be j(5). Which is the third smallest value? (a) -3 (b) q (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 equal to -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r + 8 = -5*m, 1 = -m - r. Which is the biggest value? (a) -1 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(8)\/sqrt(4) + -3 - (sqrt(2) + -1 + -3) - (sqrt(200) - (-2 + sqrt(200) + 0)).\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/27 - 4\/(-18). Let g be (0 - 6\/2)\/d. Let u(o) = o - 1. Let k be u(g). Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2. Let g be (1 - -19)\/4*1. Let p(r) = g*r - r - r + 6*r. What is w(p(s))?\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 12000*q**2 + 24028*q - 36024.\nAnswer: -4*(q - 3002)*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141233 is divided by 527?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/8*a**2 + 0 - 3\/4*a.\nAnswer: -3*a*(5*a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 131493 (b) 2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/92 and 95\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -140100124 (base 5) in base 10?\nAnswer: -706289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -1127, -697 in descending order.\nAnswer: -67, -697, -1127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 - 5*k + 2. Let u be d(5). Suppose 3*r - u = 70. Let t = r - 29. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from xlohhxloll.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-3 - (2 - 8) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*s + 10 + 22, -80 = -5*s + 4*p. Suppose 10*j - s = 6*j. Solve j*f + 9 = 7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 171*k**2 + 261284*k - 6112 = 0. Calculate k.\nAnswer: -1528, 4\/171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21033931 or 63101794\/3?\nAnswer: 63101794\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-153)\/(-9)*81\/3. What is the greatest common factor of q and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/5 (b) -1 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79784101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**4 - 14*n**3 + 10*n**2 + 2*n - 2. Let u(y) = 3*y**4 - 57*y**3 + 39*y**2 + 9*y - 9. Let q(z) = -9*t(z) + 2*u(z). Factor q(f).\nAnswer: -3*f**2*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 2*b**3 + 0*b**3 + (-b**2 - 2*b**2 + 2*b**2)*(-b + 4*b - 4*b) - 181 - 2*b - 7*b**3 + 181.\nAnswer: -8*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -18*u - 1. Let h(f) = -91*f + 16. Determine h(m) - 5*n(m).\nAnswer: -m + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 206*p**2 + 425*p + 87547. What is a(-206)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -99, -86, -71, -54?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/8)\/(1\/2). Let w = -30383 - -30397. What is the nearest to b in w, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12016067177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 5*q - 5. Let i(p) = 2*p**2 - 3*p - 2. Give 9*i(a) - 4*y(a).\nAnswer: 2*a**2 - 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 709\/16 or 43?\nAnswer: 709\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.511 - -78.011. Is 4 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 227270*v**3 + 296845.\nAnswer: 681810*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/152 and (-154)\/56 - 4301\/(-2112)?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/36)\/(38\/(-152)). What is the nearest to 0 in 0, k, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.106178348 to three decimal places.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*k + 77, -j + 0*j + k = -15. Calculate the remainder when 118\/((-13)\/((-2223)\/38)) is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**2*s**2 - 2*a**2*s + 19*a*s**2 + 8*a wrt a.\nAnswer: -12*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/8*q**3 - 13\/8*q**2 + 3\/2 - q + 1\/8*q**5 + 5\/8*q**4 = 0. Calculate q.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**2 + 1. Let x(p) be the first derivative of -2*p**3\/3 + 17. Give v(x(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 2464.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(6\/13)*d\/(d**(-2\/13)*d))\/(d**(-2)*d**(1\/9)*d))**(-20\/3))**(3\/7) assuming d is positive.\nAnswer: d**(-3520\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1032663 - 673184. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)*(-3)\/9. Let n be (-144)\/(-66) - (-4)\/(-22). Suppose -n*c + q*c = -4. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 273*n + 270*n - 10, -h - 12 = -4*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -87200 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4789530067 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 363840*u - 362701?\nAnswer: 363840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:15 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n**2 - 126*n - 18. Let i be w(15). Calculate the greatest common factor of i and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/40 - 53*m**5\/20 - 77*m**4 + 1176*m**3 + 663*m**2 + 4. Factor i(t).\nAnswer: -3*(t - 3)*(t + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 81 = 3*r, 2*r - 3*b = 2*b + 45. Let g = -25 + r. Solve -5*c - 25 = -g*o - 0, 2*c + 10 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - -37) + (9 - 8 - (-1 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 505149346.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -388, -816, -1284, -1792?\n\"Answer: -20*l**2 - 368*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01500046 - -0.015. What is q rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -4*r - 3*q, -3*r - 96 = q - 3*q. Let t be 25\/r + (-2)\/12. What are the prime factors of 14\/(-6)*(t - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -57350.\nAnswer: -458800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 9*j**2 + 8*j + 6. Let l be g(-8). Let w = l + -475. What is the common denominator of -137\/18 and w\/(-120) - (-3)\/(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + a)*(3 - 3 - 1) + (-4*a + 0*a + 2*a)*(13 + 26 - 10).\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096*n + 27 = -1105*n. Suppose -4*m - 200 = 520. Calculate the common denominator of -49\/4 and (-138)\/m + 2\/n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 21. Let o be l(9). Suppose -2*s = 2*w - 5*s - 2, s = -2. What is the smallest common multiple of 10 and (w + -1)*(-8)\/o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 22 + 16 + -35.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71930 divided by 14386.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-9)\/(-24)) - 9222\/1131.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*d - 2185, -d - c + 541 = -6*c. What are the prime factors of d?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.067, -2\/3, 1, 5\/102?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z - 263 = 17. What is the third derivative of 2*w - 3*w**z + 26*w**3 + w**5 + 4*w - 23*w**2 - 25*w**3 wrt w?\nAnswer: -120*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10974123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.9. Let t be (-120)\/(-63) - ((4 - 8) + 6). Which is the second biggest value? (a) p (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(102) + sqrt(102)*-1 + sqrt(102))\/sqrt(6))**2 - (sqrt(17) - (sqrt(204)\/sqrt(4))\/sqrt(3))**2) + 5*sqrt(833) + 2.\nAnswer: 21 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637215 is divided by 216815.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1145*u - 22. Let j(l) = 382*l - 8. Determine 11*j(s) - 4*o(s).\nAnswer: -378*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 3*h - 36. Calculate the remainder when 38 is divided by (11\/h)\/(8\/(-48)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -30*s + 0 - 21*s + 0*s + 35 + 42. What is the hundreds digit of y(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 448, 5, 25.86?\nAnswer: 448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713930 and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 17 = 22*z. Let g be z\/(((-32)\/12)\/4 + 0). Solve -3*y = -2*y - g*s - 11, 2*s = 2*y - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 6*v**2 - 9*v**2)*(-9 - 85 + 35).\nAnswer: 354*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a67a9 (base 13) in base 11?\nAnswer: -12432a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 23*c = i + 7, 0*c = -107*i - 5*c - 749 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*n + 2*n**3 + 25*n - 36 - 41*n + 80 to k*n + w*n**3 + j*n**2 + s and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37510 = -2330*b - 6760 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099.865 rounded to the nearest 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0 (c) 63260 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 - 25 - 3*w - 42)*(5*w**2 + 0*w**2 + w**2) to the form z*w**3 + v*w + o*w**2 + i and give o.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46783261, 93566514, 140349767, 187133020?\nAnswer: 233916273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 139 and 0.04.\nAnswer: 5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 2. Let o be r(-6). Let d = -3 + 1. Let c = d + 4. Solve 2 = 3*x - o*n, -c*x = 3*x + 4*n - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, s: 1, u: 7, e: 1}. What is prob of sequence uuy?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134.6 - 136. Which is the closest to -1? (a) -0.2 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15090 + 15090.000013039. What is l rounded to seven dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-5) + -3 + 4. Let r(o) = -o**3 + 7*o**2 + 5*o + 6. Let s(b) be the third derivative of -b**5\/60 + b**2. Let n(w) = r(w) + 3*s(w). What is n(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/11 greater than or equal to 730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7139, 14386, 21623, 28844, 36043, 43214, 50351, 57448?\n\"Answer: -m**3 + m**2 + 7251*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3906441 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12050 + -3?\nAnswer: -12053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 139 = 35 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -235c8514 + -2?\nAnswer: -235c8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9771 divided by -3257.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 616*p**6 + p**5 + 22*p**6 - p**5 + 149*p**6 - 2*p**2 + 1 wrt p?\nAnswer: 94440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001221334421 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 14. Suppose 0 = 4*a + j - 48, 7*a - 2*a + 2*j - 57 = 0. Solve y + 0*y - b = -5*s, -4*s + a = 5*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -90*(-1 - (-6)\/10). Suppose -b - 6 = -w. Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((2*4*-1*sqrt(171))\/((sqrt(9) - (sqrt(9) - (sqrt(63) - sqrt(63)*2)\/sqrt(7))) + sqrt(9) - sqrt(108)\/(sqrt(36)\/sqrt(3))))**2*2 + -2).\nAnswer: 12150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194 - 1193 + 3581 + 4*d**2 - 1194.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - 558\/8. Let i = -70 - m. Let 21*u**5 + 7\/3*u**2 - 29*u**4 - 2\/3*u + i + 19\/3*u**3 = 0. Calculate u.\nAnswer: -2\/7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = -3*p, -p + 5*p - 4 = 0. Let t be 554\/(-4) - u\/(-14). Is (t\/15)\/(2\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -86\/9*h**2 + 178\/9*h - 10 - 2\/9*h**3 = 0.\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + x + 3. Let f = -8 + 5. Let d(j) = -j + 11. Let m be d(9). Let a(c) = -2*c + c - 5*c**m - 4 + 0. Determine f*a(g) - 4*z(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -177*g + 194. What is q(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 375*y - 97. Let d(m) = -188*m + 50. Let p(u) = 5*d(u) + 2*r(u). What is the units digit of p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.056 - 1.296. Let s = 0.24 + v. Sort 4, s, -0.4 in increasing order.\nAnswer: s, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/6*2 + -10. Let c(y) = y**2 + 2*y + 6. Let z(r) = 6*r**2 + 11*r + 33. Let v(h) = u*z(h) + 11*c(h). Let x(q) = -7*q - 17. What is x(v(g))?\nAnswer: 7*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 602564238 to the power of 1\/3, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 998, 996, 994?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -317e (base 16) to base 3\nAnswer: -122101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 7795962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/18*(-180)\/(-1200)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 3. Let d = 0.36 + -0.06. Put 2\/5, d, m in decreasing order.\nAnswer: 2\/5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 3*z - 35. Let f be z + (-3 - -7) + 123. Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104203128 and 0.35?\nAnswer: 104203127.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 4*y - 2. Let u be b(-1). Suppose u*i + 32*g = 31*g + 2403, -1785 = -3*i + 5*g. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b - 4*c - 81 = 0, 5*c - 108 = -4*b. Suppose 4*f - b = 177. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1128)\/(-9)*7\/(-434)*3\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2204*i + 2 - 735*i - 730*i + 3 - 5*i**2 - 739*i.\nAnswer: -5*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 30*y + 1. Suppose -d = -5*d + n - 107, 92 = -4*d - 4*n. Let p = -18 - d. Calculate the remainder when o(1) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -856 by 6.\nAnswer: -428\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 1. Let j(x) = -5*x**2 + 3. Let w(f) = f**3 - 4*f**2 + 4*f. Let s be w(3). Determine s*j(t) - 8*u(t).\nAnswer: t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1665*u**2 - 2822*u**2 - 1656*u**2.\nAnswer: -2813*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vbbvvvvvvvbvvv?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v + 8*v + 24. Let d be v*(119\/(-28) - -4). Let z be (-2)\/7 + (-2)\/(-56). Sort d, z, 0.2 in decreasing order.\nAnswer: d, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693094 at least 693081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 32. Suppose 0 = -2*p - 5*q + 137, 199 = -2*p + 6*p - 5*q. Let y = p + -21. Calculate the greatest common divisor of t and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180603 divided by -2288\nAnswer: -180603\/2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/3 and 83\/23289.\nAnswer: 23289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/2 + 9*w**3 - 9*w**2\/2 - 30*w - 18.\nAnswer: 3*(w - 2)*(w + 1)**2*(w + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857*n + 449*n + 58 = -437*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -64. Let x be (-7)\/(84\/m) - 1\/4. Is -2 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i**2. Let p(j) be the second derivative of -35*j**3\/6 + 4*j + 40. Determine p(o(x)).\nAnswer: 385*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 608*o + 29235. Calculate q(-102).\nAnswer: -1569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3) - (10 + -23)\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2269.9 + 11211476792.\nAnswer: 11211479061.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 - 420*d**3 - 424*d**2 = 0. Calculate d.\nAnswer: -1, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -762 - -777. What is the second derivative of -106*t**5 - 24*t**5 + 209*t + 7*t - w*t**5 wrt t?\nAnswer: -2900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 5*o + 1214. Let p = o + -353. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 10*c + 11. Let p be q(9). What is the remainder when p\/(1 + (-7)\/8) is divided by (1*-10)\/(-2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117) + 4 + sqrt(117))**2 + sqrt(13) + ((3*(sqrt(13) + 0))**2 - sqrt(13) - sqrt(13)) + sqrt(13) + 0.\nAnswer: 60*sqrt(13) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 19959388\nAnswer: -19959379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*(c\/((c**3\/c)\/c))\/c*c*((c**(-1\/4)\/c)\/c)**(19\/2))**38 assuming c is positive.\nAnswer: c**(-3249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109835274?\nAnswer: 2, 3, 18305879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -7, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -13) + -12 - -9) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 5. Let g be (3 + -4 - -1)*1. Let w be y(g). Solve 0 = 5*m - 15, -w*a + 2*m + 6 = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 24*x, 7*x - 4 = -4*l - l + 4*x - 7 + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300142 (base 5) to base 6.\nAnswer: 111342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6963 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 487016323 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7205.493 litres in millilitres?\nAnswer: 7205493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 4. Let p = 44 + -34. Suppose -5*r + 2*v + 19 = -p, -r = 3*v + 1. Give m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**3 - 33*f**3 + 61*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 236175\/335*(-6)\/90?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 34736154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**44*g**(3\/5)\/(g*g**(-11)))**(-36) assuming g is positive.\nAnswer: g**(13932\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/89 (b) 2\/11 (c) 1 (d) 2\/3 (e) -44 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194*h**2 + 82*h**2 + 90*h**2 + 2 - 4 to the form n*h + y*h**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -6. Let t be (m\/4)\/(21\/(-28)). What is the second biggest value in 0.4, t, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 44843*b - 148775880 = 0. Calculate b.\nAnswer: 3608, 41235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2339 and 184861.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 - 78 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -161*z. Let f(s) be the second derivative of -s**3\/6 + 3*s + 12. What is f(o(m))?\nAnswer: 161*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, -105, -50?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 8 + 4 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231010 + 10131310?\nAnswer: 11022320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4671720, 18686879, 42045478, 74747517, 116792996, 168181915?\n\"Answer: 4671720*m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31a42 - 791?\nAnswer: -32503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 810 - -976?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/22 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35703900 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {t: 2, e: 2, h: 1, o: 2, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 17. What is the units digit of m(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, y: 4, z: 6, t: 3, b: 1}. What is prob of sequence ztp?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 12:10 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:17 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0656671g?\nAnswer: 65667100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j**4 - 2*j)*(j + 3*j - 3*j) + 3187*j**5 + 2455*j**5 - 4778*j**5.\nAnswer: 866*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 6*q - q. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/95 in 6\/59, -0.29, -1?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.59 from -0.98.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.646*22481\nAnswer: -37003.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + 2 - 7 - -2. Suppose -7*l + 12*l - 4*h - 1860 = 0, w*l + 5*h = 1860. Does 51 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -93, -214, -383?\n\"Answer: -24*r**2 - r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36207.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173.03 + 172.94. What is the closest to -1 in -1\/9, -18, i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r + 4*m + 2744 = 0, -4*r + 2*m + 5518 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 656360 and 19520?\nAnswer: 5250880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 181466 (base 15) in base 14?\nAnswer: 225cdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -57*h + 562. Is 2 a factor of d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 247.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10368386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 311 - 296. Let h(v) = 20*v. Let d(x) = -x. Give t*d(j) + h(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**2 + 62*g + 8. Let d(l) = -7*l**2 - 41*l - 5. Let k(n) = -5*a(n) - 8*d(n). Factor k(t).\nAnswer: t*(t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/7560*-54 + (-188)\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3476 + -121\nAnswer: -3597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 1. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f - 2768 + 15450 = -68518. What are the prime factors of f?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*d + 632 = 23 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-642)\/2247 - (-1 + (-10)\/(-14)). Let p(f) = f**2 - f + 31. What is p(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1749*d**2 - 1741*d**2 + 2*d - 2*d.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -20*u - 33. Let f(l) = 5*l + 8. Let q(a) = 9*f(a) + 2*o(a). Give q(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2745c (base 16) to base 14\nAnswer: 428a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 47248525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/78, -2.2, -2, -0.1, 1, 5, -2\/241?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 15, 666 = -3*y - 7*g + 3*g. Let h = y + 215. Is 1 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + v**2 - 3*v**2 - 1268*v**3 + 1273*v**3 in the form i*v**2 + q*v**3 + j + n*v and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334196, -668392, -1002588, -1336784, -1670980?\nAnswer: -2005176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -w - 8, 3*w + 3*l + 2 + 4 = 0. Let q = 4 - w. Suppose -282 = -2*z - q*p, -z + 0*z + 146 = -p. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 1, 35 in decreasing order.\nAnswer: 35, 1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -120, -281, -508, -801?\n\"Answer: -33*l**2 + 4*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94 + -2?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/180*10\/(-32).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = n. Let q = -5 + n. Let v be (-7200002)\/q - 2\/3. Round v to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.37 - -0.27. Let p = 5.9164 + 0.0836. Let u = s + p. Which is greater: u or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**2 - k**2 - 16*k**2 - 8*k**2 + k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -72?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -87261.1 rounded to the nearest one thousand?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(84)*-2*-6 - (sqrt(84) + -2*sqrt(84)*-4))\/(4*(1*sqrt(12) + sqrt(12) - sqrt(12)) - (sqrt(108) + -2*sqrt(108))).\nAnswer: -1 + 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.87, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/15)*o**(7\/2)\/o)**(7\/3))**(-9))**(7\/11) assuming o is positive.\nAnswer: o**(-3479\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 3198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.42455 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0*a**2 + 1 + a - 2*a**2 - 2*a**2 + 3*a**2. Let l(z) = 2*z**2 - z - 2. Let t(m) = -2*j(m) - 2*l(m). What is the derivative of t(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(-2*sqrt(8)) + -3)**2 - (5 + sqrt(168)\/sqrt(6)).\nAnswer: sqrt(7) + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 - -107. Let l be (-57)\/r + -7 + 0\/(-2). Sort -1, 0.029, l.\nAnswer: l, -1, 0.029","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 138, 315, 492, 669?\n\"Answer: 177*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -403400 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 627*g**4*t**3 + 6117*g**2*t**3 - 65413117*t**3 wrt g?\nAnswer: 2508*g**3*t**3 + 12234*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01847693 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(3\/11)\/b*b)*b*b\/(b\/(b*b\/((b**(-11)\/b)\/b)))*b)\/((b\/(b*b**7))\/(b*(b*b*b**13)\/b*b)))**40 assuming b is positive.\nAnswer: b**(18360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4682 * -16707\nAnswer: 78222174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 23 + -16 + -1 + 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053415.2 - 458?\nAnswer: -1053873.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 2, p: 2, i: 2, b: 1, w: 1}. Give prob of sequence wib.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:46 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -4, -1\/3, -124?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65331686923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -124363922874 less than 2.2?\nAnswer: 124363922876.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/329777 and -17\/282666?\nAnswer: 1978662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -70*(-114)\/(-4180)*4\/(-14)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4\/11 (c) -12 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.6 + 10.6. Let y = 55 + -221\/4. What is the closest to y in -4, w, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13198*j**3*y**2 + 2*j**3 + 2*j**2*l*y**2 + j**2*l + 33285*j*l with respect to y.\nAnswer: -26396*j**3*y + 4*j**2*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s**2 - 34 - 56 + 102 to v + z*s + p*s**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3. Let q(g) = 4*g**5 + 12*g**4 + 4*g**3 + 4*g**2. Let m(l) = q(l) + 8*w(l). What is b in m(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 449, 3644, 12311, 29186, 57005, 98504, 156419, 233486?\n\"Answer: 456*b**3 + 3*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + r = -k + 44, -4*k - 3*r = -36. Solve 2*b - 4*s = 4*b + 24, -5*b - k = -2*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -0.0334 (c) -21 (d) 3 (e) -0.09 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/613 or -1?\nAnswer: -6\/613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56476109*b**4 - 78488821*b**2 wrt b.\nAnswer: -1355426616*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + 8*b - 8*b - 8*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -2 (b) 0 (c) 8 (d) 6\/383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 - 62*d**3 + 5389 wrt d.\nAnswer: 4*d**3 - 186*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/120 - d**5\/5 + 13*d**4\/24 + d**3 + 4*d**2. Calculate the lowest common multiple of 10 and s(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 230854\/35 and 6595 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/11)\/g*g)\/g)**(-50) assuming g is positive.\nAnswer: g**(-450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 10211*y\/2.\nAnswer: y*(y - 20422)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let s be ((-1 - p) + 0)*-6. Let k be s*-2*16\/6. What is k rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 4*s + 15. Let k be t(7). Find the common denominator of 75\/8 and (k*(-2)\/6)\/((-22)\/12).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 8*b - 3*b + 0*b**2 - b**2 to i + x*b + u*b**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from npnppnnnnnnnnnpp.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*m**2\/9 + 68*m\/3 + 280\/9.\nAnswer: -4*(m - 14)*(4*m + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122, 246, 370, 494, 618, 742?\n\"Answer: 124*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 4*(-535)\/420.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a centimeter in millimeters?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let o(l) be the second derivative of l**6\/90 - l**3\/2 + l. Let h(q) be the second derivative of o(q). Give h(f(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or 603?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 509, 914, 1455?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*x**3 - 485*x**3 + 1557*x**3 - 525*x**3.\nAnswer: 57*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*195\/(-2496)*56\/10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 537828827 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -167740 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvjntvjjtntvjttvtjn. Give prob of sequence jnt.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:09 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 824838 and 583422?\nAnswer: 23920302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25951297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odpo when four letters picked without replacement from wwowhhwowdhwpg?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -2, -33, -96, -203, -366, -597, -908?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(-8)\/(-6). Is 1*(r + 0 + 91) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24224900 to the nearest one hundred thousand.\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1710 or -5131\/3?\nAnswer: -1710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**2 + 0*n + 0*n**3 - 8\/3*n**5 + 0 - 4\/3*n**4.\nAnswer: -4*n**4*(2*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -539 - -607. What is the common denominator of 21\/8 and 17*(-3)\/72 + p\/(-102)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/10*20\/2. Let t = j - 16. Suppose -10*r = -d - 3, -4*d - 9*r = -12*r + 12. Sort d, 1, t in descending order.\nAnswer: 1, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 85. Suppose 2*k = -a + i, 5*a = 2 + 13. Is (-379)\/2*(k + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 + 21*w**3\/2 + 78*w**2 + 248*w + 288.\nAnswer: (w + 4)**3*(w + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3093, 3092, 3091?\n\"Answer: -q + 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 776118 (base 11) in base 3?\nAnswer: 2022220011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.2667ml in litres?\nAnswer: 0.3302667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -80, -94, -70, 4, 140, 350?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1945 - -671. What are the prime factors of q?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17733, 17764, 17815, 17886, 17977, 18088, 18219?\nAnswer: 18370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 13*g + 47*g + 21*g)*(11*g + 0*g - 115 - 9*g) in the form t*g**2 + c + b*g and give c.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2125 + 283. List the prime factors of h.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q - 4. Let g(u) = q - 2*u - 9 + 3*u. Let p be g(6). Which is greater: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in -3.2, 2, 3?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + t = -7, 3*b + 4*t - 16 = b. Suppose -b = 2*r - 8. Let g(i) = 5*i + 2. Is g(r) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 16*t**2 + 20*t + 400.\nAnswer: (t - 10)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 17*x**2 - 50*x + 56. What is the remainder when 265 is divided by r(-13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223 - 11331113?\nAnswer: -11330230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 0, 1\/4, -2\/5, 2\/23, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8241 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1505*x**2 - 150*x - 20.\nAnswer: -3010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076251 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Suppose b*u = -4*u - 40. What are the prime factors of (-4)\/(-10) - 316\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {k: 2, b: 2, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 124*a**3 + 197*a**4 + 122*a**3 + 5 + 10*a**2 - 179*a**4 in the form x + p*a**4 + s*a**3 + i*a + c*a**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170319 or 170318?\nAnswer: 170319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/1)\/(2 - 4). Suppose h = -3*o - 3, -3*o + 12 = u. Solve b - u = 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*5\/630*7*-3.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, 41, 239, 641, 1319, 2345, 3791?\n\"Answer: 12*k**3 - 6*k**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1107 and 4175973.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2075571 and 310.\nAnswer: -2075261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2077\/(-124) + 17)\/((-1)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2. Let y(l) = -1814*l**2. Give a(y(u)).\nAnswer: -19743576*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26875?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -199 (base 15) to base 10\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2272841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.1, -0.098, -4, -2, -0.758, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiiwiwipwwlgg. What is prob of sequence gp?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*r - 362*r + 546 = -1202 - 778 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 693 and 462?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5852 and 371140.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 8*h + 2. Let i be n(8). Factor 0 + 0*b - 2\/7*b**i.\nAnswer: -2*b**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 105, 2\/7, -24?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - p = 8, -k + 9 + 6 = 5*p. Let l be ((-12)\/15)\/((-21)\/105). Suppose -l*d - 25 + 45 = 0. Calculate the smallest common multiple of k and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -559*h**5 - 8*h**3*y + 2*h*y + 789*h wrt h.\nAnswer: -11180*h**3 - 48*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-556)\/(-2224) + ((-9)\/(-60))\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 2*g + 30, -4*m - 4*g + 0*g = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-39) + 473206\/27586?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/35)\/((-86)\/(-301)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 701657954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvnvn. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 10243 + 12793. Let n = f - -46163\/8. Find the common denominator of n and -87\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 12*x**2 - x + 30. Let o be h(-13). Let n = 223 + o. Suppose 7*v - 197 - n = 0. Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*c + 3*d + 11, 3*c = -d + 83. Calculate the lowest common multiple of c and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 8*n + 6*n + 14, 0 = -n + 5. Suppose -5*v + 42 = -2*r, 2*r - 14 = v - 3*v. Solve x*w + 2*g - 2 = -v, 2*g + 8 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5476 - -5489. Solve 3*a = -5*b - 14, 4*b = -c*a + 9*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30677235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -977 + 983.11. Let w = s + -5.75. Which is the second smallest value? (a) w (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 99319192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:16 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4629\/4 - 1166. Calculate the common denominator of (1\/(-21))\/(557970\/10731 + -52) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1905 + 1922. Solve 13*l - 20 = y*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5. Let v be y\/(-2*(-2)\/(-20)). Let h(l) = l**3 - 3 + 5 - 2*l + 0*l**3 - 5*l**2. Calculate h(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1143490397 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:51 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.6 + -5.4. Let b = -36.0037 - q. Round b to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*u + 111*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199*n**4 - 776*n.\nAnswer: 2388*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 99 = -3*h. Suppose -38*o - 2096 + 4168 = 2110. Sort h, 3, o in ascending order.\nAnswer: h, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1347630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0*(6\/(-18))\/1*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1.28, 0.06, -5 in ascending order.\nAnswer: -5, 0.06, 0.1, 1.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*d**3*q + 51693569*a**2*d**2*q + 666*a*d**2*q - a*d + a + 7*d**3*q wrt a?\nAnswer: 4*d**3*q + 103387138*d**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3529 and -13.\nAnswer: 45877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 + -0.65. Let w = -4 + 6. Which is the nearest to 1? (a) -3 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2827*x - 1002*x = 18250 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4514*i**2 + 300*i + 1 - 1 + 4517*i**2.\nAnswer: 3*i**2 + 300*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (424 - 265)\/(46\/(-28) + (-22)\/(-154))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3 + 0*q**3 - 5*q - q**3 + 1 - 6*q**2. Suppose -25 = 2*z - 3*f, 3*z - 8*z + f - 30 = 0. What is the units digit of g(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*p = -5*p + 9, 3*t + 3*p - 9 = 0. Suppose 2*o + 9 - 31 = t. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6372 + 4334. Round u to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 30.9?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 + 4*h**2 + 2*h**2)*(-3*h**2 + h**2 + 4*h**2) + (0 + h**3 + 0)*(2*h - 2*h + h) to f*h**3 + t*h + y*h**4 + a + b*h**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55130329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 15. Let h = -59 - -61. Let c be ((-3 - -1)*-6)\/h. What are the prime factors of p(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 792*h + 117600. Calculate u(-594).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 1 + 2 - f - 2. Calculate the lowest common multiple of (2 + (-44)\/8)*-2 and q(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 42.67 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-21692)\/80)*495\/1800*20?\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, p: 8}. What is prob of picking 2 p?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -18*c - 256. Let w be q(-15). Solve -7*p + 23 = -9*p - 5*b, 3*b = -p - w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607124531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60697 and 6769035.\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/9 and 2945\/(-1620)*-3 + -5?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -174, -134, 52, 432?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 7*f**2 + 6*f - 12. What is x(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 24*g**2 + g - 11. Let l(s) = 2*s + 22. Let j be l(-10). What is the remainder when i(j) is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)\/(112\/32)*7. Suppose -2*t - 5*j - u = 0, 3*t - 4*j - 24 = -7. Solve -4*o - 5*z = 41, -4*z = -t*o - o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5238 = -112*t + 1822 + 220 for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 15. Let h be 24*1 - (-6)\/8*-4. Suppose -3*f + 12 + h = 0. Calculate the least common multiple of v and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2893 in -0.2, 0.3, 0.2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) -1\/6 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*v**4 + 1\/3*v**2 + 0 - 1\/3*v**3 + 1\/3*v.\nAnswer: -v*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -381270 and -99.724?\nAnswer: 381170.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 96.99335ng?\nAnswer: 0.00009699335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -5\/6*i**4 - 12*i**2 - 1\/2*i**5 + 0 + 0*i - 5\/6*i**3 - 1\/6*i**6 - 1\/42*i**7. Solve s(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 1, w: 1, a: 1, p: 1}. What is prob of picking 1 a and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2.1. Let z = 5\/26 - 147\/494. Let x = -10.7 + 11. What is the nearest to m in 0, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/242 and 59\/154?\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 9*j - 7. Let z be w(8). Which is the closest to 0? (a) z (b) -0.1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 74629 + 59271 = 0. What is the highest common divisor of r and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -23*j - 6. Let k(u) = -45*u - 11. Let t(h) = 2*h**2 - 124*h + 1843. Let x be t(25). Determine x*c(r) + 4*k(r).\nAnswer: -19*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) 0.5 (c) -40\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/10, -0.5, -0.3 in ascending order.\nAnswer: -9\/10, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1365 + -0.03. What is u rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18540 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 59. Let b be q(10). Sort 2, b, 1.\nAnswer: 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 157159?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.846 times -1?\nAnswer: 97.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:42 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*l + 10. Suppose -3*t + 3*j = -57, -55 = -3*t - 0*j + l*j. What is the remainder when t is divided by (-12)\/(-10)*15\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 193?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/2 - 2)*6. Suppose 0 = 4*l - h*p - 22, -5*p + 4 = 14. Let z = 221\/164 + -4\/41. What is the second smallest value in l, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(304) - (0 + sqrt(304))) + -3 - sqrt(475)*2*3.\nAnswer: -29*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/4 - 206*l - 206025\/4 = 0. Calculate l.\nAnswer: -201, 1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15134808 times -2\nAnswer: 30269616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 7*y = 3*j, 5*y = j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 3. Suppose 5*p - 39 = 1. Suppose 5*i - 10 = -5*u, -3*u + p*i - 2 = 3*i. Suppose -5*h - s + 30 = u, -4*h + 2*s + 12 = 0. Calculate l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 - 97 = 8*l. Let w = 4 - 3. Let a(j) = 6*j. Calculate the smallest common multiple of a(w) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6562529143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/84 + 621\/(-18))*(-144)\/64.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 53?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11000000001111100101?\nAnswer: -11000000001111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 0*d - 3*d + 2*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2104 and 0.2703?\nAnswer: -568.7112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/11679?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -77*u + 145. Give x(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l + 2. Let z be v(-2). Suppose -6*k - z = -7*k. Solve 5*s - 3*y - 17 = -57, s = 5*y - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -546649?\nAnswer: -54664e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2751*y**2 + y - 2. Suppose 2 = -2*q + q. Let g be z(q). Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 149*u. Let y(o) = -o**2 + 704*o + 57. What is a(y(r))?\nAnswer: -149*r**2 + 104896*r + 8493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -866, -3027, -6630, -11675, -18162, -26091, -35462?\nAnswer: -46275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 57, 719 in ascending order.\nAnswer: -14, 57, 719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 - 3*l + 6. Let j(q) = 11*q**2 + 6*q - 13. What is 4*j(y) + 9*s(y)?\nAnswer: -y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 70 - m + 157 - 87.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 114825384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1434, 13, 6527 in increasing order.\nAnswer: -1434, -4, 13, 6527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 8, 0*f + 2*m + 67 = 3*f. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 1. Suppose -5*c = 5*h - x, -11 = -2*c + 4*h + 1. Solve -2*t - 6 = -0*t + c*s, -2*s = -2*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 197167.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 2, 3*z - 4*s + 44166 - 44090 = 0 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:44 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74162 = -1968*t + 45886 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 18. Suppose 0 = p - 5, -i*p = -4*m - 4 + 17. What is the greatest common divisor of 77 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22640187 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9641, 12336, 19637, 33848, 57273, 92216, 140981, 205872?\n\"Answer: 384*c**3 - c**2 + 10*c + 9248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5390*j**2 - 10*j + 15*j - 33612*j**2 - 5*j.\nAnswer: -39002*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 33*s - 156. Let y be p(37). Let b(o) = o**3 + 8*o**2 + 3*o + 14. Calculate b(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/34 + -13\/170. Let i = 0.3 - -0.2. Let l be (-1)\/(-3)*(-48)\/56. What is the biggest value in i, l, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46852426502.00037 - -46852164242. Let z = 262173 + g. Let p = z + 87. What is p rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 14\/3*w - 1\/6*w**2 = 0 for w.\nAnswer: 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00309318061 rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -9, -47, -99, -165?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d - 45*d = -7070. Let p = 1033 + d. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/6)*v)**(-2\/21)\/(v**(5\/2)\/(v\/(v*v**(-3\/10)))) assuming v is positive.\nAnswer: v**(-758\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 61.99673 micrograms?\nAnswer: 0.00000000006199673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 = 2*f - 241. What is f rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let b = -309\/5 - -62. Put -3, b, s in decreasing order.\nAnswer: s, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f4862 (base 16) to base 5\nAnswer: -224022240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.496 + 0.496. Which is the second smallest value? (a) z (b) -2 (c) 0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w. Suppose 0*h + 4*p = 3*h - 9, 5*p = -5*h - 20. Let q be 27\/12 - h\/(-4). Let z be k(q). Solve -3*d = -2*b - 8, 5*b - z*b - 7 = -5*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + sqrt(7))*-3)**2.\nAnswer: 216*sqrt(7) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1264d77 - 0?\nAnswer: 1264d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/4 - 3*m**3 - 9*m**2\/2 - 6*m - 3. Let r be g(10). Let x be 3 + r + -3 + 2. Solve -2*n = -x*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -133, -3, 3, 5 in decreasing order.\nAnswer: 5, 3, -1, -2, -3, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -1710\/11?\nAnswer: -1710\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1 (base 15) to base 6.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99491*o**4 - 147*o**2 + o**5 - 2*o**5 - 99488*o**4 + (2*o**4 - 2 + 2)*(-16 + 16 - 4*o) - o**3 + o**3 - o**5.\nAnswer: -10*o**5 + 3*o**4 - 147*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13364915)\/111410 - (-3)\/(-78).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33 + 1 - (-2)\/1. Let k = -5 + z. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83.71 and 0.4.\nAnswer: 33.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 6 + 5)*(1 - 18 + 4)*(z + 1 - 1).\nAnswer: 117*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 448.55 * 3.7.\nAnswer: 1659.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 772 - 752. Solve 0 = g*w + 36 - 96 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6032, 11850, 17668, 23486?\nAnswer: 29304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1212883743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -12*f**2 + 10 - f - 183*f**2 - 11*f**3 + 190*f**2. Let o(g) = 5*g**3 + 2*g**2 - 5. Give -5*o(q) - 2*p(q).\nAnswer: -3*q**3 + 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 682 + -435. What are the prime factors of t?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:42 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -56. What is the remainder when b is divided by (-7)\/2*(-12)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - q**3 + 2*q**3)*(-1 - 1 + 3)*(-8 + 19 - 20)*(0 + 2 - 8)*(3 - 1 - 3)*(-q + 0*q + 2*q).\nAnswer: -54*q**4 - 108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/10 + 31076\/(-425)*-130?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/2 smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(10)\/(sqrt(162) + sqrt(2)) + 2*4*(sqrt(245)*-2)**2.\nAnswer: sqrt(5)\/10 + 7840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -200?\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -11.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 194.827. What is i rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52501 divided by -54.\nAnswer: -52501\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(320) + -2 + 0)*4 + -1)**2 + 1.\nAnswer: -640*sqrt(5) + 5221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18147140 to the nearest integer?\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 20300102023?\nAnswer: -20300102033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 7871?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u + 15. Let m be (-5)\/(6\/4 + -2). What is the units digit of s(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -19*t. Let k be 3*(1 + 4\/12). Suppose 5*g = -k*a - 9, a + 3*a + 3 = g. What is the units digit of z(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4350 divided by 8?\nAnswer: -2175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1629\/362)\/(10\/80)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000101010110101101 - -110?\nAnswer: -110000101010110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 162 = -5*l, -154 = -5*l - 0*y + 3*y. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(847) + -2*sqrt(847) + -4 + sqrt(847)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.363139 rounded to 2 dps?\nAnswer: 277.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -294. Let q = 230 - u. Suppose 3*s = m - 11, -m - 4*s - 4 = -2*s. Solve -q*l = m - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 183479500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 + 5*x**2 - 10*x + x**2 - 6*x**2 to d + o*x**2 + c*x + u*x**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -26 + 17 + -13 + 10?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 6:41 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 209830*d - 7553448.\nAnswer: -(d - 629454)*(d - 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 10.94. Let x = s - 0.14. Let y be (0 + 1 + -3)\/(14 + 2). Which is the second biggest value? (a) x (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 6*f**2 + 7*f + 4. Let h be i(-7). Let l be 7*(-1 + -2 + h). Solve -4*w - 17 = -l*w + 5*a, -6 = -2*w + 2*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -80*z**4\/3 - 2733*z**2 - 5260*z. Find the first derivative of p(c) wrt c.\nAnswer: -640*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1709*a - 4697*a = 582946 for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 229660 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2737*h = -3514*h + 11655 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7183?\nAnswer: -2\/7183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*s - 17, 4*b + 4 + 16 = 4*s. Suppose 0 = 2*f - s*k - 850, -f + 2120 = 4*f - 5*k. List the prime factors of f.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 14 = -6. Let g be 37204\/i + (-3)\/15. What is g rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 4*h + 5. Let v be c(4). Solve 0 = 2*j + 4, -v*y = 5*j - j - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(1088)) + sqrt(17)*1*-6*-4 + (sqrt(816) - (sqrt(816)*2 + sqrt(816) - sqrt(816)))\/sqrt(3) + (1*sqrt(119))\/sqrt(7) + sqrt(17) + -4)**2.\nAnswer: 28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let a(m) = -m**2 - m + 6. Let d(t) = -504*t**2 - 280*t + 1680. Let b(z) = 2240*a(z) - 8*d(z). Determine b(p(i)).\nAnswer: 7168*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - -5726597.803155.\nAnswer: 5726608.803155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49.61406 grams?\nAnswer: 49614.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 235\/(-50))*628\/6. Let i = v + -31. Find k such that 0 + i*k**5 - 8\/5*k**4 + 12\/5*k**3 - 8\/5*k**2 + 2\/5*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 16}. What is prob of sequence fwwf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3236)\/16180)\/(62\/(-30) + 3)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395 + -391. Let j(n) = -24*n**2 - 4*n - 3. Let f(i) = 23*i**2 + 5*i + 4. Let o(u) = m*f(u) + 5*j(u). What is the first derivative of o(h) wrt h?\nAnswer: -56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 - 9)*(88 - 1575*i + 792*i + 785*i).\nAnswer: -40*i - 1760","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3 + 1568536*t**2 - 615096686285*t + 15991453530650 = 0.\nAnswer: 26, 784255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 + -3. Suppose -3*u - 14 = -q, q = 2*u + 2*q + 1. Let k be 18\/10 + (u - -1). Which is the third smallest value? (a) 3 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/2*(-113)\/(-113)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -5, -0.2, -8\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + 920\/(-315). Let s = -985\/84 - u. Calculate the common denominator of -89\/6 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 5:47 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062363498.\nAnswer: 2, 3, 7, 25294369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676*s + 677*s - 2927 = 0. Let z = -1810 + s. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, 1 v, and 1 y when four letters picked without replacement from {k: 6, i: 2, v: 5, y: 1, d: 1, q: 2}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1868 equal to -1868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*q**0))\/q*q*q*(q*q*q**(-4\/7)*q)\/q)\/(q*q*q*q\/q**(-2\/5)*q)**(1\/23) assuming q is positive.\nAnswer: q**(2571\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78516.21kg in tonnes?\nAnswer: 78.51621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 5. Let d be q(-4). Let t = 3\/938 + -22527\/4690. Find the common denominator of (-3955)\/(-294) - 2\/d and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.836.\nAnswer: 4.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 + 4*r + 13. Let b(k) be the second derivative of 0 - 1\/2*k**2 - 13*k. Let y(v) = 5*b(v) + n(v). Solve y(s) = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -4 + 1860\/(-14). Let j = u - -137. Factor 8\/7 - j*w + 2\/7*w**2.\nAnswer: 2*(w - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most as big as 3099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 537 * -4\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*s - 24693 = 0, 4*s + 22559 = 2*i + 6137. Does 45 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/8 + (-40)\/(-26). Let v = -80 - -80. Are u and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - w = -2*w - 15, -30 = -5*o + 4*w. Suppose x - o*x = -3. Suppose -x*t + 0 + 24 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3650684695981*y**2 + 3650684695969*y**2 - 3 + 3.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1535 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 210, 229, 282, 387, 562?\n\"Answer: 3*z**3 - z**2 + z + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 50.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/3, -32.738 in decreasing order.\nAnswer: -0.2, -2\/3, -32.738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 8*p**2 - 19*p - 30. Determine t(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/20*(-16)\/7. Solve 0 = -3*c - v - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbeebeeeeeebbeeee. Give prob of picking 3 b.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, -3 in descending order.\nAnswer: 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(2 + (sqrt(7) - (sqrt(7) + 2)**2) + -3).\nAnswer: 18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5\/13 - 2286*o**4\/13 + 875508*o**3\/13 - 114071420*o**2\/13 + 50848914*o - 979918902\/13 = 0?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*q + 73*q + 5*q**2 + 66*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 4, j: 2, x: 1, g: 6}. What is prob of sequence jxym?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**5\/60 + 8*u**4\/3 + 1591*u. Factor c(w).\nAnswer: -w**2*(w - 96)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 22 = -j, j + 290 - 318 = 3*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e71f456 + 5?\nAnswer: -e71f451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - d + 8. Let k be l(0). Solve 8 + 8 = k*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2518825, 2518949, 2519073, 2519197, 2519321?\n\"Answer: 124*q + 2518701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/132*-1*(-72)\/1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 7. Let n be x(10). Suppose -2*t - 7*u - 28 = -5*u, -4*u = n*t + 47. List the prime factors of t\/3 - -3 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p. Let v(y) = 3*y - 18. Let l(x) = -6*u(x) - v(x). Calculate the remainder when -1 - (-7 + -1 + -3) is divided by l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/5 - 4*h - 25 = 0. What is h?\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 204 times 357\nAnswer: 72828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.8536 nanograms to milligrams.\nAnswer: 0.0002928536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, p: 3}. What is prob of sequence epp?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865, -1721, -2565, -3391, -4193?\nAnswer: -4965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 2, x: 4, g: 2}. Give prob of picking 1 f, 1 x, and 2 g.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 (base 10) in base 16?\nAnswer: 6f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(12\/7))**(3\/26)\/(y**(-21)\/(y\/y**(12\/13))))**(-8\/5) assuming y is positive.\nAnswer: y**(-15488\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/22*-14*(-63)\/294\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 291058*b**2 + 1164236*b + 3492712\/3.\nAnswer: -(b - 873178)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by (-18)\/(3*(-10)\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 66, 98, 128, 156, 182?\n\"Answer: -b**2 + 37*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389.\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:49 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpiuupp. Give prob of picking 1 p and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 698 from -8618.\nAnswer: -9316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 726*y**3 + 3*y**2 + y - 2. Let k be -2 + 1 + (-2 - -1). Let f = k - 0. Let i be u(f). What is i rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1329*c + 29785 - 6258 = -305*c - 5885 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 26*s + 1. Let g(u) = 22*u**2. Give g(v(b)).\nAnswer: 14872*b**2 + 1144*b + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*q**3 - 12*q - 113*q**3 - 12 + 41 - 102*q**3 + 12*q.\nAnswer: q**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(0 - (-1)\/(-1)). Let o be 8\/40*15*(-68)\/(-10)*5. What is the greatest common factor of g and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -4. Suppose 2*d = -k + 8, 3*d - y = -d. Solve -4*r + k*r - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 11147.\nAnswer: -40\/11147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 22. Let r = c - -8. Does 5 divide -1 + r + (-27)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -734.45\nAnswer: 367.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05005 + 3.05005. Let s = 0.25 - -4.75. Which is the closest to f? (a) -3 (b) 0.3 (c) 0 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g - 16*g - 275 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.18108 litres in millilitres?\nAnswer: 64181.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2461, -1757, -1053, -349, 355?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/25380 and 121\/160740.\nAnswer: 482220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25664807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l\/(l*l**(-1\/15)))\/l)*l)*l\/l**(-6))**(-12\/5)\/((l\/((l**1*l)\/l))\/(l\/l**(-4\/5))*(l\/(l\/l**(1\/3)))\/l*l*l**4) assuming l is positive.\nAnswer: l**(-1102\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 8243326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -2 (c) -12643 (d) -1 (e) 5 (f) -1\/4 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.39 and 65?\nAnswer: -25.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -32, -46, -58, -68, -76?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4288?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 6.9. Let y = 5.6 + s. Which is the third biggest value? (a) y (b) 1\/2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 14*f - 22*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 2*i**2 + 4*i + 4. What is f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/7)\/n*n\/(n*n**(1\/4))*n)\/(n*((n**(-2\/5)\/n)\/n*n)\/n*n**1))**3)**(-11) assuming n is positive.\nAnswer: n**(-1353\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55938710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/13 + 36890*y**3\/13 + 1031744*y**2\/13 + 7219464*y\/13 = 0?\nAnswer: -18417, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 + c. Let p be r(-1). Let q(l) = l**3 + 7*l**2 + 3*l - 18. Let t be q(p). Is t smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -51 - 77. Solve y - 12 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -373da?\nAnswer: 373dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -12. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2771825*v. Let a(g) = 3*g**2. Determine q(a(h)).\nAnswer: -8315475*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -173 - (854 + -958).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**2))\/j)\/(j\/(j*j\/(j**(-1)*j))))\/(j**(-2\/7))**(-31))**(-6) assuming j is positive.\nAnswer: j**(456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2887 by 11.\nAnswer: 2887\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*a + 2 = -0*x, 1 = -a. Solve x = -2*r + 4*j - 0 - 6, -3*r - 2*j + 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3400193, -3400224, -3400255, -3400286, -3400317?\n\"Answer: -31*h - 3400162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 658*u - 29867. Give p(46).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9 = 4*u, -44 = 2*u - 5*h - 55 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44345 + -33733154.\nAnswer: -33733153.55655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35234 + -55?\nAnswer: -35300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -41*f - 376. Give a(-8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 7. Let n(d) = -231419*d - 42. Let a(i) = -347128*i - 64. Let c(o) = -5*a(o) + 8*n(o). Let w be c(l). Round w to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (26 - -49 - 43).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y**5 + 596*y**4 - 3088*y**3 + 3604*y**2 - 1104*y = 0.\nAnswer: 0, 1\/2, 1, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 119*u**3 - 2*u**2 + 14*u - 31. What is the tens digit of h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13893292811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - -8)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9431331.96767 from -229.\nAnswer: 9431102.96767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5578025 times 0.1?\nAnswer: -557802.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j + 190. Let q(w) = 4*w + 114. Let y(h) = 3*c(h) - 5*q(h). Suppose 12 = 3*k - 3*g + 8*g, 0 = 2*g. Let r(f) = -f - k*f + 2*f. Give 2*r(b) + 9*y(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 11*h - 10 = -8*h, 4*y - 8 = -h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26863 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 8*f**2 + f + 17. Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2603216 (base 7) in base 6?\nAnswer: 11121252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (33 - 69 - -46 - (-1 + 52))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 2011122003?\nAnswer: 2011122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -24*n - 56. Suppose 4*s = -36 + 12. Does 4 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63859 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.38, 0.5, 3, 907?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (2 + -5 + 17 + -17 + -17)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.014 + -0.03. Let h = f - 7.284. What is h rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -1, -0.3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(91\/65)*-96. Is b smaller than -477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17006.6 rounded to the nearest 100?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 - 77 - -11 - 91.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -303, -460, -627, -810, -1015?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176536?\nAnswer: 2, 17, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38458098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -28. Suppose -12*b + 19*b + 35 = x. What is the biggest value in -5\/3, b, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1*2\/(-4)*-8 and (-1 - 3)*(-14)\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 3*x. Let o = -11 - -16. Let s(u) = u**2 + u. Let j(z) = o*k(z) - 15*s(z). Let h(r) = 5*r. What is j(h(a))?\nAnswer: 125*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -202574, -202295, -201830, -201179?\n\"Answer: 93*m**2 - 202667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/60 + 9*c**4 + 334*c**3\/3 + 8*c**2 + 4. What is the derivative of s(t) wrt t?\nAnswer: -2*t + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 + 0*d**2 - 2*d + 2*d + 2*d**2 + (-2 + 3 + 0)*(-2*d**2 + d**2 + 2*d**2) + 3*d**2 - d + d)*(6*d - 6*d + 16*d**2).\nAnswer: 112*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4514990 and 451499.\nAnswer: 4514990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001979209 rounded to seven decimal places?\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/44 and -20\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17450 divided by 57?\nAnswer: 17450\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2*s + 3)*(9 + 21*s**2 - 9).\nAnswer: 42*s**3 - 21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2423, 2421, 2417, 2411, 2403, 2393?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k + 10 + 0*k - 2*k + k**3 - 8*k**2. Let a be s(8). Let m(z) = -z**3 - 7*z**2 - 7*z - 1. What is the units digit of m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251 + -254. Let j = 0.5 + -0.8. Which is the closest to 0? (a) w (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 20 = 2*a. Let j(k) = k**2 + 6*k + 6. Let l be j(a). Solve -2*v - 1 = -5*u + l, 0 = 2*v - 4*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 6*f - f. Let x(y) be the third derivative of -y**4\/8 + y**3\/6 + y**2 - 56. Let a(s) = 4*s - 1. Let g(l) = 3*a(l) + 3*x(l). Determine q(g(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2*u + 14*u + 20*u)*(-u**2 - 15*u**2 + 35*u**2 + (-1 - 2*u + 1)*(-3*u + 2*u + 0*u) + 0*u - u**2 + 0*u - 3*u - u**2 + 3*u).\nAnswer: -608*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o. Let g be q(-1). Let j(z) be the first derivative of -3*z**4\/2 + 40*z**3\/3 + 15*z**2\/2 + z + 51. Let y be j(7). Solve g - y = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((2*-114)\/(-4)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + 2*j**2 + 2*j - 2. List the prime factors of x(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1109 + 725 + 331 + 551 + 939)*(p + 0 + 0) in the form a*p + s and give a.\nAnswer: 3655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/216*31\/(589\/114)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(405) + 5 - (sqrt(5)*-1 + 2 - ((sqrt(5)*2 + sqrt(5) + -4 + sqrt(5))**2 - sqrt(5)))*1)*-6.\nAnswer: -552 + 138*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*o - 7*o. Suppose -3*g + 65 = 5*n + o*g, 0 = -2*n + 2*g + 10. Calculate the highest common divisor of 99 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66) + (sqrt(66) - 1*sqrt(66)))*6))\/(5*-2*sqrt(6))*1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81493931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -855*d**2 - 241*d**2 + 8360*d**2 to m*d + r + n*d**2 and give n.\nAnswer: 7264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 - 202*s**3\/5 - 4558*s**2\/5 + 5618*s.\nAnswer: -2*s*(s - 5)*(s + 53)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2582*t + 2580*t - 2*o = 64, -2*t - 76 = 8*o for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-14)\/(-24) + -1 and 7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -7*u**4\/24 + 7*u**3\/6 - 6*u**2. Let k be o(-5). What is the highest common factor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -5 + (sqrt(1377) - (sqrt(1377) + 1)))*6)**2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/14)\/(495920\/(-18368) - -27). What is the highest common divisor of z and 902?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -4.2 (c) -1 (d) -0.24 (e) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016*t = -12575 - 13841 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 5060?\nAnswer: 5061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*j**2 + 971*j**3 - 566*j**2 + 273*j**2.\nAnswer: 971*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 538, 807, 1076?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8. Let u = d + 5. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-24)\/(-3))\/((-1)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6\/36*6 + (34 - 5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 16. Which is smaller: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 12 + 0 - -11 - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + h**2 + 5*h - 5. Let m(i) = i**3 + 1. Let q(d) = -d**3 - d**2 - 6*d + 3. Let j(c) = -3*m(c) - q(c). Give 5*j(a) - 6*w(a).\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(19) + (((-1*sqrt(171))\/sqrt(9))**2 - sqrt(19)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d - 4*d**2 + 2 + 3*d**2 - 20*d + 5. Let f be -2 + (-6 - 3) - -1. What is the remainder when 78 is divided by t(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -0.3 (d) 5 (e) 164585 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, g: 2, c: 2, v: 3}. What is prob of picking 1 n, 1 g, and 1 v?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 10236586 and 51182927\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 80 = -33*a. Let d be (-3 + 4)*-4*1. Calculate the least common multiple of (d\/3)\/(2\/(-30)) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (33\/22)\/(9\/10)*3. Suppose 2*m - 4*m + 103 = -s, -5*s + x = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-7) + 6\/4)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48835598023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*4)\/sqrt(12))**2 + 3 - (-1*(0 + sqrt(72) - sqrt(72)))**2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 65, 50, 35, 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 2*n + 43243. Is u(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 9*x + 14*x + 332 = 0, 2*x = -2*a + 290. Calculate the remainder when 1959 is divided by a.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - (-6)\/2. Suppose 0 = p + 2*l + u, -l + 3 = 2*p - 4. Calculate the smallest common multiple of 9 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:28 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -189, -534, -1143, -2088, -3441, -5274?\n\"Answer: -12*o**3 - 24*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/5 - 48*h**3 + 489*h**2\/5 - 246*h\/5.\nAnswer: -3*h*(h - 1)**2*(h + 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-18)*-1 - -5) + (-33)\/(-9)*-7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -20*r. Let x be v(-8). Let n be (-21)\/(-2)*x\/30. Let g = n - 29. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (11 - -5) + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:39 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 + 7*d - 7. Suppose 4*a + 0*t - 2*t = 24, 0 = 2*a + t - 8. Give o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9574299 millilitres?\nAnswer: 0.0009574299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1937, 3458, 6009, 9590, 14201, 19842?\nAnswer: 26513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 13 - 14 = -k, 4*r + 3 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 + 52670*p - 263274. Determine t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 8*l + 69. Let d be f(6). Let v = d - -86. Let o(s) = -3*s**3 + s**2 + s + 1. What is o(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j + 5. Suppose 0 = -j*m + 260 + 40. Suppose i = 4*i - m. What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 195, 1, 397?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2, 5*z + 159 = -2*f + 1080. Let b = f + -927\/2. What is the closest to b in -5, -1, 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263 + 11*a - 27*a + 98 to the form w + k*a and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*j - 3*u - 30, 3*j - 4*u - 16 = 0. Let c(r) = 2*r**2 + 14*r - 12. Let i be c(j). Suppose 522 = 6*q - i. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 365*k**2 - 8494*k + 29. Calculate u(-25).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111264 is divided by 3679.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, e: 1, i: 2, q: 1, g: 3, r: 1}. What is prob of picking 2 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 39 + 25. Suppose 11*o + 465 = z*o. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((2\/4)\/((-4)\/(-4)))\/2)\/(4\/1040)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/24 - n**3\/2 + n**2. Let h be s(7). Let g = -7 + h. Put -2, g, -1\/4 in increasing order.\nAnswer: g, -2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4806978439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g. Let b(m) = 71531467*m**2. Determine j(b(p)).\nAnswer: 643783203*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y**2 + 17*y**2 + 998 + 134 + y**2 + 2*y as j*y**2 + r + f*y and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/27)\/((147\/(-18))\/7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4245 is divided by 177?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3511791 to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.52 + -36.72. What is the nearest to p in 2, -2, 3\/4, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1406.56 + 1359. Let v = 45 + o. What is v rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*p + 15 = 0, u - 3*p + p - 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from {i: 7, e: 6}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.591 - -1.591. Let m = -0.13 - 29.87. Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4 and -0.8?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2.1926 (b) -1.6 (c) 2 (d) -0.051 (e) -1\/2 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-297)\/(-18))*-6?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 7 + 11 + 126*y**3 + 10.\nAnswer: 126*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(-1\/16)*s*s**20*s assuming s is positive.\nAnswer: s**(383\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/(-1008))\/((-3)\/(-336)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -612 + 3087\/5. Solve -l - 9\/5*p**2 + 27\/5*p + 1\/5*p**3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -258, -745, -1666, -3165, -5386, -8473?\nAnswer: -12570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 221*q**3 - 4*q**2 + 2*q + 2. What is the tens digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4 - d - d - 5*d - d**2. Let f be n(-5). Suppose -f*q + 80 = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 6, 10, -6\/7, 5 in increasing order.\nAnswer: -12, -6\/7, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3805583 (c) 0.2 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240.9 - 241. Let v = 2 + -2.4. Which is the biggest value? (a) v (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.02 (c) -2\/11 (d) 5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + ((sqrt(60) - ((1*sqrt(3840) - sqrt(3840)) + sqrt(60)))*1)\/((2*sqrt(144)*-4)\/sqrt(12))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 269 and -2.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (345748\/(-31174))\/(4*2\/(-44)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.2. Let v = -3 - -2.8. Let k be 784\/(-240)*5 + 17. Which is the closest to 0.1? (a) v (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4372 to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2 + 0 + 0 - 7. Let a(u) = 2. Let m(h) = -8*a(h) - 3*f(h). Let p(w) = w**2 + 2*w + 5. Let q be 2\/2 - -8 - (8 + -4). Determine q*m(x) + p(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8881 - 8566. Calculate the remainder when 1261 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4174 - 4178. Put l, -560, 5, 4 in decreasing order.\nAnswer: 5, 4, l, -560","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:20 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27793, 55586, 83379, 111172, 138965?\n\"Answer: 27793*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20\/900*-9 + (0 - (-6)\/15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*f + 1. Calculate the greatest common divisor of f and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31504995 and 21420.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -2bc?\nAnswer: 2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -191928*x + 24. What is k(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2571.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + sqrt(18)\/((sqrt(66)*-1)\/sqrt(11)))*-1.\nAnswer: -6*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 39 + 37 + 238*q - 163 + 53.\nAnswer: 238*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*c + 36. Calculate the remainder when 25 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 10. Let w be l(5). Let s = -190 - -185. Sort s, 1, w in ascending order.\nAnswer: s, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 35*x - 12*x - 13*x - 305, 16*a + 235 = 5*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**3*w - 9*u**3 - 2*u**2*w wrt u?\nAnswer: 42*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 890*q - 941*q - 1428 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 0.8. Let y be (-43)\/((-4)\/(-4)) - 2. Let d = 42 + y. Which is the nearest to 0? (a) d (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5476 and 8214.\nAnswer: 16428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.836837977 rounded to three decimal places?\nAnswer: -0.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2. Let a(x) = -5*x - 2*x + 8*x. What is a(j(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 96.8. Let p be (112\/14 - 14) + (-32)\/(-5). What is the nearest to l in -4\/7, -0.04, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 1, 125295 in descending order.\nAnswer: 125295, 5, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - 9*w**3 + 9*w**3)*(-6 + 2 + 3) + 22*w**4 - 17*w**4 + 10*w**4 + (-w**2 + w**2 - w**2)*(-w**2 - 4*w + 4*w) + 2*w**4 + 4 - 4 - 3 + 3 + w**4.\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = 21*d + 23*d - 35 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-200)*-15 + -4*(-184)\/256?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-14\/3)*l*l**(10\/7)*l)\/(l\/l**(4\/7)*l*l**(-3\/10)))**(-50) assuming l is positive.\nAnswer: l**(355\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 92 = 4*s. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**4 + 2*y**3\/3 + 23. What is the third derivative of u(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 + 62\nAnswer: 62.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1\/3))**6)**12*(r\/r**(-4\/9)*r\/(((r**(1\/2)*r*r)\/r)\/r))\/((r**1*r)\/r)**(4\/7) assuming r is positive.\nAnswer: r**(15293\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 3. Let p = 9 + -6. Let w(b) = -4*b + 4. Let z(i) = p*n(i) + 2*w(i). What is z(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 3*t + 160 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5802240 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)\/(t\/t**(4\/3)*t))\/((t**6*t)\/(t**(-2)*t*t*t*t)) assuming t is positive.\nAnswer: t**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 2*u + 5. Let x(b) be the second derivative of -b**3\/3 - 6*b**2 + 2*b. Let s be x(-8). Determine i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -3*v**5\/20 + 17*v**2. Let o(w) = -3*w**2. Give o(y(g)).\nAnswer: -243*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15887 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212 - 197. What is the remainder when 1197 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1954 + 206 = -19*m. Let f be (-2)\/(1\/2*-1). Suppose -282 + m = -f*z - r, -2 = r. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2216, -8811, -19794, -35159, -54900, -79011, -107486, -140319?\nAnswer: -177504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(2 - 4 + 4 + (-2 + 2 + 1)*(-2 + 1 - 1) - 4 + 3 - 1)*(3*h**2 - 16*h + 1842 - 920 - 920).\nAnswer: -12*h**2 + 64*h - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 4803*u**2 - 47 + 25.\nAnswer: 4803*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*j + 12, -2*j - 7*g + 2*g = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12880 and 12521936?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28474574, 28474577, 28474582, 28474589?\n\"Answer: i**2 + 28474573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/100)\/(4\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2019 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - (3 + -1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 31. Suppose 57*g = -7*g + 3072. Calculate the least common multiple of h and g.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 2*k**2 + (7 + 8 - 4)*(2*k**2 + 3*k**2 - 4*k**2) + 5*k**2 - 107 + 0*k**2 - 4*k**2 + 2*k**2 - 2*k**2 + k**2.\nAnswer: 11*k**2 - 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 5715483?\nAnswer: -5715489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -834 - 10*h - 826 + 1660. Let q(v) = -61*v**2. What is n(q(u))?\nAnswer: 610*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 2*u**2 + 3*u - 6. Let q be j(-5). Let t be (-4)\/6*q\/(-4). Suppose 5*r - 4*s = -9*s + 30, t = 3*s. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -35. Suppose o = 5*v - 10*v. Put 5, v, -5 in descending order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12821 - 11012.\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {i: 10, a: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -4, 5, 104, 2, -5 in descending order.\nAnswer: 104, 48, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n + 38*n - 2*n**3 + 23*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*v**3 - 12*a**2*v - 34*a*v**3 + 72*a*v - 6*v**2 wrt v?\nAnswer: 18*a**2*v - 204*a*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2. Let q(f) = 382*f + 3. Calculate q(g(v)).\nAnswer: 764*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 7*h**2 - 17*h - 9. Let u be v(9). Suppose 5*t = 5 - 15. Sort t, u, -1, 1 in descending order.\nAnswer: 1, u, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33255745, -33255754, -33255761, -33255766, -33255769, -33255770, -33255769?\nAnswer: -33255766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 10*z + 44. Factor -14 + 95*y**3 - 2*y**4 + 25*y - 1 + z*y**4 + 115*y**2.\nAnswer: 5*(y + 1)**2*(y + 3)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1515041.\nAnswer: -1515040.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 - w**2 + 2*w - 1. Let c be j(1). Let l = -1433.3 - -1433.8. What is the third smallest value in c, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/(r**(-22)\/r))**(-2\/21))**(-36) assuming r is positive.\nAnswer: r**(744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3900 and 58\/5?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 29. Let q(g) = -908*g + 7257. Let z be q(8). Give d(z).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (6 + (-48)\/9)\/((-209)\/1482)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13621905 and 13959.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -28*r**2 - 12*r. Let j(m) be the second derivative of 11*m**4\/12 + 5*m**3\/6 + 137*m. Determine -12*j(l) - 5*o(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8875 - 8810. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.031 and -30?\nAnswer: 30.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 14480*i**2 - 555655*i + 5295870.\nAnswer: 5*(i - 19)**2*(i + 2934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(700\/(-630)*-27)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + sqrt(252) + 1 - sqrt(7))**2 - (0 + sqrt(35)\/(sqrt(50)\/sqrt(10))).\nAnswer: 11*sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6984 and 22?\nAnswer: 76824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27 from -17.2.\nAnswer: -44.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 431*b**4*o**2 - 2*b**4*o + 8*b**3 + 10*b**2*o**2 + 132*b**2*o + b**2 - 2*o**2 wrt b?\nAnswer: 10344*b*o**2 - 48*b*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 412 + -4535\/11. Let j = -1 + 2. What is the common denominator of j*(-1)\/17*11 and f?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0133019 rounded to five decimal places?\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 13*m - 49)*(129 + 35*m + 78*m - 129) - m**2 - 2*m**2 - m**2.\nAnswer: -1473*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/52374 and -25\/2424168?\nAnswer: 16969176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-4))\/((-2035)\/(-1628))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 812834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71790703 to the nearest integer?\nAnswer: 8473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -54091\/3176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39914?\nAnswer: 2, 7, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 23*i + 50. Let m be p(7). Suppose -5*q - f + 343 = 0, 5*q + 2*f = m + 130. What is the smallest common multiple of 18 and q?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 2507260.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*b**2 - 3*a**2*g**2 + 11*a*b*g**2 + a*g**2 - 2*b**2*g**2 wrt b?\nAnswer: -2*a**2 - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:04 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l**3 + 0*l - 22*l**3 - 10*l**4 + 9*l**3 + 2*l to the form f + p*l + w*l**4 + r*l**2 + h*l**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (1\/(-3))\/((-4)\/(-36)). Let n(v) = v**3 - 3*v**2 + 3*v - 2. Determine n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 195 = 5*s, s - v = -2*v + 40. Calculate the common denominator of 67\/3 and 10\/s - (-681)\/(-56).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1359175412 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.30293 plus 0.021419?\nAnswer: -1.281511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Suppose 7*b - 15 = -5*k + 2*b, -3*b = x*k - 13. Let o = 5 + -1. Solve h + 8 = -j, -k*j = -h + o*h + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*q**6 - 3*q**5 - 23*q**4 + q**2 + 3*q + 126.\nAnswer: 1320*q**3 - 180*q**2 - 552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84\/17 or -4?\nAnswer: -84\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**5 - 745*p**4 + 3085*p**3 + 3825*p**2 = 0.\nAnswer: -153, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 + p - 1. Let l be q(1). Let r = 65 + -64.8. Which is the nearest to r? (a) l (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 34 = 4*f - 0*z - 46, 4*f - 8 = 19*z for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 890*n - 166363 + 166363 + (n + 0*n - 2*n)*(2 - 2 - 8) in the form f*n + w and give f.\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**5 + 1115897*d**2 + 69*d - 2547.\nAnswer: 40*d**3 + 2231794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/10)*q*q*q\/(q*q**(1\/4))*q*q*q**(1\/9)*(q*q**4)\/q assuming q is positive.\nAnswer: q**(1397\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1\/(-4)*(-8)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -11 + (7 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11112212202121 - 1021?\nAnswer: -11112212210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 + 928*u**2 + 2*u - 928 = 0.\nAnswer: -1, 1, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 140685401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 5) to base 3\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2160) - sqrt(2160))\/(sqrt(245)*-2 + sqrt(245)).\nAnswer: 36*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -3. Let s = 209 + -208.9. Sort 1, 2, s, g in descending order.\nAnswer: 2, 1, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -32*p**2 + 36*p + 12. Let t(j) = 13*j**2 - 15*j - 5. Let m(c) = -12*t(c) - 5*y(c). Let f(r) = r**2 + 20*r. Calculate f(m(g)).\nAnswer: 16*g**4 + 80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106.26 - 109. Round r to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - 79. What are the prime factors of 1 - 8\/12*k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (532\/(-57))\/((-94)\/(-141))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.37 + 7.63. Which is greater: -0.05 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b + 8, -j + 4*b = -27. Let l = 8563 - 8539. Calculate the remainder when l is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1210486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(1 + 2*-1). Let y be 4 + -2 + 10 + b. Suppose -3*k + 40 = g, -2*g - g - y = -2*k. What is the highest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26635995075798 less than -3?\nAnswer: -26635995075801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 14*n**2 + 27*n - 41. Give f(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 33 - 19. Let f = -16 - k. Solve 3*y + f = 8*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, o: 5, y: 1}. Give prob of sequence ooy.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11221 (base 3) to base 15\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -6 - (76\/18 - (-6)\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4)*(-1 + 3). Suppose 7*c = 6*c + i. Solve 3*m - x = -11, 0*m = -m - c*x - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p + 773. Calculate d(-19).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0 + 1\/6*b**3 + 1\/2*b**2 - 2*b. Let s(g) = -g**2 + 2*g + 2. What is 6*j(u) - 2*s(u)?\nAnswer: 2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.051 and 0.04.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 + -260.9. Which is the closest to h? (a) 5 (b) -0.06 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-5) - 16\/(-40). Let b be -1*(7 + 2)\/((-18)\/(-12)). Let a be 2 + b - 46\/(-8) - 2. What is the nearest to a in -2\/5, s, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100588 + 20687 = 11*a. Is 63 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5, -1\/5, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-66) - 860\/(-11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8559673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from izbiibibzibibbibbbi.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2426*v**5 + 129*v**2 wrt v.\nAnswer: 145560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1241 by -5.\nAnswer: 1241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 5 + 15)*(-3*t + 3*t + 6*t**2 + (-3*t**2 + 2*t**2 + 3*t**2)*(-1 - 5 - 8)).\nAnswer: -462*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 21210020021?\nAnswer: -21210020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by 5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -48. Solve p + h + 12 = b*h, -3*p + 3*h - 24 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from xxyxyyxyxxxxxxxxyxxx.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91112463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-32) assuming z is positive.\nAnswer: z**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/278002 and -43\/1164.\nAnswer: 1668012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 70 + 8 = -20 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 + 46 - (-31 + -100).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-166\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 r when three letters picked without replacement from hncvrhn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6592918 millennia?\nAnswer: 659.2918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 4*d**3 - 4*d**3)*(1 - 1 + 2*d**2) - 2*d**4 + d**5 - 4*d**5 + 0*d**4.\nAnswer: -7*d**5 - 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.042 - -4.558. Let s = 0.4 + v. What is the second smallest value in 0, -0.3, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -42600403?\nAnswer: 42600410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - m**5 - m**5 + (1 - 4 + 1)*(3*m**5 + 5*m**5 - 4*m**5) - 3*m**5 + 5*m**5 - 4*m**5 + (0*m**2 + 0*m**2 - 3*m**3)*(42*m - 42*m - 1 - 145*m**2).\nAnswer: 424*m**5 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6513682 and 12922.\nAnswer: 84677866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111287 at least as big as 111295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24770375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1319 + -911. Calculate the greatest common divisor of 1088 and p.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*s + 129*s - 275 = 0. What is the derivative of -58*u - s*u - 137 - 129 - 4*u**2 + 111*u wrt u?\nAnswer: -8*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {q: 1, y: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 19. Give t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0334 and 13874.\nAnswer: 13874.0334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40490407 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27)\/(3\/45*10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o + 1 - 1 + (2 + 1 - 1)*(2 + 2*o - 2))*(6 - 4 - 3)*(o - o - o**3) to the form a + t*o**3 + j*o + y*o**4 + q*o**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p**3 - 23*p**2 - 66*p**3 - 1022*p**2 + 158*p**3 - 48*p**3.\nAnswer: 2*p**3 - 1045*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 11*q**2 - 24*q - 175. Let y be m(14). What is the highest common factor of 63 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 1 + 0 + 2*y**5 - y**3)*(3 - 3 - 5).\nAnswer: -10*y**5 + 5*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.41533004 + 21.415331. Let s = -6 - p. What is s rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 2*g**2 - g**2. Let u(w) = w**2 - w - 1. Let o(k) = -87 + 88 + 0*k**2 + k + k**2. Let q(p) = -o(p) - u(p). What is h(q(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29854 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-1\/2)))\/m**(-11))**19 assuming m is positive.\nAnswer: m**(361\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -16*c**5 + 214600*c**4 - 750937*c**3 + 442469*c**2 + 375448*c + 53636 = 0.\nAnswer: -1\/4, 2, 13409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.05 + -1.049967. Round k to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79962807?\nAnswer: 3, 26654269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54 - -54)\/(-1 + 5). Is h greater than -1\/1197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7153 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 320*o - 2879. Calculate i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m**4 - 2 - 3*m)*(-6 + 6 + m).\nAnswer: -4*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 30. Suppose -3*t - k + 63 = 215, 5*t + m*k + 258 = 0. Let b = -43 - t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32568257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 25*n**3 - 16*n - 49\/8*n**4 - 32*n**2 + 1\/2*n**5 - 148. Determine o, given that a(o) = 0.\nAnswer: -1\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 1, j: 3}. What is prob of picking 1 k and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 4}. Give prob of sequence ttt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((0 + 2\/5)\/((-35)\/(-175))).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3255)\/682)\/(-105))\/(0 + (-3)\/108).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -33, 4, -1 in increasing order.\nAnswer: -33, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5223600?\nAnswer: 2, 3, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.5 (b) 0.556 (c) 383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 318271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12423539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 0, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*r + 24886 = 14970 - 41730 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1. Suppose 2*k - 9 = y, -k - 14 + 16 = 0. Let w(z) = -z - 1. Calculate y*d(o) - 5*w(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*v + 135 = 0, -7*v + 355 = 5*d - 2*v. Let u = d + -75. What is the nearest to -1 in 0.3, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010120212 (base 3) to base 4.\nAnswer: 2302130012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -y - 1568, -2*y + 6*y - 802 = -2*x. What are the prime factors of x?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 491. List the prime factors of d.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18418708 to the power of 1\/2, to the nearest integer?\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3500 - -2?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s + 1. Suppose k - 127 = -3*a - 0*a, 0 = 4*a + k - 171. Let x = a - 44. Suppose 5*j - 6*j - 1 = x. What is c(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 78, 75, 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 1, o: 5, h: 6, g: 1, d: 2}. What is prob of picking 1 d and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 1. Suppose -2*g - 3 = g - 3*q, g - 4*q = 5. Let b = -2 - -3. Let l(s) = -2*s**2 - 4*s + 1. Calculate b*l(f) + g*x(f).\nAnswer: -2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 201319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5\/3, 3, 18, 1\/2, 1169?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/4 - 4*z**3\/3 + 2*z**2 - 68. Factor t(o).\nAnswer: o*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 1. Let n = -401 - -390. Let x(i) = 15*i + 5. Calculate n*q(v) - 2*x(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 0, 5*s - 3*b = -6*b. Suppose -2*o + o - 2*o = s. Solve o = -0*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-143)\/2002)\/((-1)\/2))\/(22\/440)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/5 + (-1632)\/(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4466 divided by 154?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)\/m*m\/m**12*m*m**26\/m*m*m**(-1) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*21.2569.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933 = -25*m - 48*m + 203 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*s + 28 = 0, 6*b + 10*b = 2*b - 2*s + 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1122, 17, 6416 in descending order.\nAnswer: 6416, 17, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.134 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.005 + 6. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 64*w - 10344. Calculate the smallest common multiple of 306 and k(168).\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21923207 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2. Let g(y) = 2*y**2. Let v(o) = 8*g(o) + 3*w(o). Suppose 0*k = -2*n + 2*k + 18, -5*k - 33 = -2*n. Let q be (n\/5)\/(2\/(-5)). Give v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from ciccccccccccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 7 = -5*a - 4, -4*u + 5 = -3*a. Let l = -2 - -12. Solve -4*w + l = -u*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 434 and 434.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4320 + -4296. Solve -677*i + 681*i + z = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13949 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - g**2 + g + (1 - 2*g**2 - 1)*(-1 + 2 - 3) + g**2 - 4*g**2 + 5*g**2 + 2461611 - 2461610 - 4541*g - 340*g - 2*g**2 to j*g + h*g**2 + y and give j.\nAnswer: -4881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x - 2*a - 7 = 0, 0 = -5*x + 5*a + 25. Are 8 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6276283 divided by -4121\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**3 + 181*t**2 - 191*t - 349. Determine j(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885678989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2116362 + -0.00541?\nAnswer: -2116362.00541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 216 = -j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4212241 (base 5) in base 16?\nAnswer: -11040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132.9 + -133.3. Which is the biggest value? (a) -1 (b) 1\/3 (c) j (d) 0.1 (e) 235\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -394032843*o - 366369198 wrt o.\nAnswer: -394032843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 43*x**2 - 993*x - 17068. Determine q(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2)\/((-3)\/(-6)). Suppose -4*m = x + o - 14, 4*m + 5*x = 13. Suppose 5*w = u + 13, m = 3*w - 2*w. Let c(v) = -v**3 - 4*v**2 + 3. Give c(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33711 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-15)\/10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1019344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533*r + 267*r - 224640 = -296*r. What is the highest common divisor of 39 and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639 = -123*t - 2623 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 903623587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516098 is divided by 872?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -10, 0.06, 3.\nAnswer: -10, -7, 0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 591 - 422. Calculate the greatest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 28*q - 44. Let f be u(12). What is the third derivative of 25*m - 2*m**2 - 17*m**4 - 21*m - 10*m**f + 30*m wrt m?\nAnswer: -648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2 + 42. Let i(p) = -3*p**2. Determine y(i(g)).\nAnswer: 63*g**4 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-99)\/(5 + 4) - -9. What is the closest to -0.1 in x, 2, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/33 and -113\/102?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.85 to the nearest integer.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-36) - 41\/(-6). Let q = -4 + p. Suppose 3*x - 6 = s + 19, q*x - 19 = -5*s. Calculate the smallest common multiple of 7 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1635 - 1049 = -4*p. Calculate the greatest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*k**3 + 8620*k**2*q + 10*k*q + 5*k - 105998012*q wrt k?\nAnswer: 15*k**2 + 17240*k*q + 10*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 15372*f - 15373*f - 4.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13138 = 25*w - 1337. List the prime factors of w.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/837)\/16*6?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5216240089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -321*k**6\/40 + k**4\/24 + 1010*k**3\/3 + 2*k**2 - 119*k. Find the first derivative of j(g) wrt g.\nAnswer: -2889*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 53*m - 585. Calculate v(39).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.08, -2\/9, 7, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = 3*h, -5*h - y + 3 + 11 = 0. Solve -5 = -3*z + h*m, 13 = 2*z + 5*m - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 10. Let f be v(-6). Suppose -2 - 6 = -f*a. Solve -14 + 4 = a*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -2*c - 5*c. What is the remainder when 582 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 + 2995 = -6*q. Let w = 878 + q. List the prime factors of w.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 312*r - 616. Let v be s(-154). Let h(a) = 2*a**3 + 44. Let m(y) = -y**3 - 22. Let t(n) = -3*h(n) - 5*m(n). Give t(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 30916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -142291324 divided by -4?\nAnswer: 35572831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*j + 109*j + 116*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p**2 + 8*p + 11. Let i be r(-2). Calculate the least common multiple of 8 and 7\/i + 116\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v + 5*q + 115 = -53*v, -45 = -v + 2*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + -2 + sqrt(1331) + -2 + sqrt(11) + 4).\nAnswer: 9 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:28 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -129 (b) 1 (c) -5\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 0*t**3 + 0*t - 35*t**2 - 5\/2*t**6 + 0*t**5 + 1\/2*t**4 + 37. What is the second derivative of b(n) wrt n?\nAnswer: -300*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588339 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 26 = 4*x + 2*s, 4*s = -3*x + 24. Calculate the highest common factor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u + 3*y = 155, 2*y = -2*u + 58. What is the third derivative of 0*a**4 + 659*a**2 - u*a**5 + 0*a**4 - 696*a**2 wrt a?\nAnswer: -2040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28989555 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a**2 + 34*a - 28. Give v(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88322.65 millennia to years.\nAnswer: 88322650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(52) + -3 + 1))**2 + (sqrt(5200) - (sqrt(5200) + -1*sqrt(5200))**2) + -6*(sqrt(52) + -1).\nAnswer: -24*sqrt(13) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.12. Let f = j - 0.09. Which is the nearest to f? (a) 2\/7 (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376450764, 752901528, 1129352292?\nAnswer: 1505803056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-42) - -33*(-1)\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i)**(-21)\/(i**0)**(-2\/35))\/(((i*i\/(i*i**(-7)*i))\/i*i**(-1\/2))\/((i**(-3\/5)*i)\/(i*i\/(i**(-4)\/i)*i*i))) assuming i is positive.\nAnswer: i**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30572, -30577, -30582?\n\"Answer: -5*h - 30567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104152959?\nAnswer: 3, 142871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 2954208?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by (-76888)\/(-1400) + 6\/75.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 - i. Let x(b) = -4*b**3 + 2*b**2 + b + 6*b**2 - 4*b**2 - 3*b. Let f(a) = -2*p(a) + x(a). Find the third derivative of f(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -157, -177, -197?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 2\/79 (c) -0.2 (d) 3 (e) -0.08 (f) -45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in 0.2, -0.0761, -2\/27?\nAnswer: -0.0761","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 78*g + 2. Let y(a) = 494*a**2. Calculate y(x(i)).\nAnswer: 3005496*i**2 + 154128*i + 1976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**3 + 7*o**2 - 7*o - 2. Let a(f) = -9*f**3 - 7*f**2 + 6*f + 2. Calculate -5*a(y) - 4*t(y).\nAnswer: y**3 + 7*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/4*6\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2. Let m(j) be the third derivative of j**4\/6 + 7*j**2. What is u(m(r))?\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -299 + 302. Find the third derivative of 345*q - 10*q**2 - v - 101*q**3 - 345*q wrt q.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10580 a factor of 7963766067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*p - p - 8 = 0, f + p = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let d = g - 2. Solve 0 = 2*a - 10 - d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4781464 and 1328?\nAnswer: 9562928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11))**8*(m*m*(m\/m**(-3\/4))\/m)**(4\/23) assuming m is positive.\nAnswer: m**(489\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12150 and 104?\nAnswer: 631800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253551 (base 6) to base 16.\nAnswer: 596b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/26 and -51\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1031*x + 6207. Calculate the remainder when 1923 is divided by y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-13))\/((-2230)\/1338*9\/(-130))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = 5*c, f - 10 = -3*c - 11. Let y be -5604001 + (c - (2 - -2)) + 5. What is y rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 343, 1183, 2827, 5545, 9607?\n\"Answer: 45*v**3 - 3*v**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28135663 and -0.5.\nAnswer: 14067831.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -o - 25, 565*n = -o + 564*n - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**4 - 7684*y - 36*y**2 - 24*y**2 + 6793*y - 21*y**2 wrt y?\nAnswer: -12*y**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 444.155727331 + 25.844273244. Let o = u + -470. What is o rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)\/(i\/(i*i**(-1\/3)))*i*i**(-6)*i**7)**(-8\/9) assuming i is positive.\nAnswer: i**(-64\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/12 + 356323*k\/12 + 267249 = 0.\nAnswer: -9, 356332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, a: 5, g: 5, m: 4}. What is prob of sequence ma?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7912*l**3 - 387. Let c(v) = -41*v**3 - 2. Give -387*c(f) + 2*d(f).\nAnswer: 43*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 - 2*j**3)*(2 - 4 + 1)*(-3 + 4 + 0) - 14*j**3 - 70*j**3 + 6*j**3.\nAnswer: -76*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.312 not equal to 336\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*n**2 + n - n.\nAnswer: 109*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345673.\nAnswer: 345673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233.04 - 233. What is the nearest to i in -0.3, -5\/3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2. Let o(j) = 117*j**2 - 48*j - 6. Let d(k) = -350*k**2 + 137*k + 17. Let u(r) = 6*d(r) + 17*o(r). What is u(n(g))?\nAnswer: -444*g**4 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5269 and 4.2?\nAnswer: 22129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4586027 to the nearest 10000.\nAnswer: -4590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*t - 482*t + 850 = -212*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + a - 17, -2*l - 20 = -4*a. Let x(p) = p**2 + 8*p - 1. Let f(u) = u**2 + 9*u + 11. Let m(q) = f(q) - 2*x(q). What is m(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231484 and 17644.\nAnswer: 92825084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28814158.\nAnswer: 2, 14407079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 2}. What is prob of picking 1 n and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 322\/33 (b) 0.2 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/5 - 34*m**4 - 3482*m**3\/5 + 1178*m**2\/5 + 25296*m\/5 + 20808\/5 = 0.\nAnswer: -17, -2, -1, 3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 5. Let i(g) = -g**2 + 6*g + 9. Let f be i(y). Differentiate 0 - 7 - 3*m**f + 5 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 + 46 + 10*x)*(-128*x - 187 + 187 + (-1 + 1 - x)*(5 + 1 - 2)) in the form y*x + w + f*x**2 and give f.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - g = 7, -5*u - 26 = 2*g - 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10642726 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 15. Let u be m(12). Suppose 0 = -2*a - 6. Let d = a - -6. Calculate the highest common divisor of d and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - 6*s**2 + s**2)*(0 - 3 + 1) - 2 + 3*s**2 + 2 + (4*s + 0*s - 2*s)*(0*s + 0*s + 2*s) as q + i*s**2 + r*s and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 7*y**2 - 45*y + 242. Let k be u(9). What is the closest to 0 in -0.3, 0.1, k, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12713\/8 - 1584. What is the common denominator of -43\/9 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 25. Suppose -4*h + s = 8, 0 = h - s + j + 3. Do h and 2\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1754 + -1709. Suppose 4*v - 3*c - 163 = -0*v, -95 = -2*v - 3*c. Are n and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1055*v. Let n(u) = 9*u**2 + 27. Let t(l) = -29*l**2 - 90. Let q(m) = 10*n(m) + 3*t(m). Determine q(c(x)).\nAnswer: 3339075*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let v = 2 + 0. Suppose -d = -v*l, -d = 2*d + l + 7. Calculate y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 3. Let y be (-15)\/6 + (-4)\/(-8). Is 5 a factor of c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:02 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j + 1782 = -143*j - 3036 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcccq. What is prob of sequence ccfq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.9 - 26.905. What is n 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 derivative of 3843557*z**4 - z**2 + 9*z + 161104510 wrt z?\nAnswer: 15374228*z**3 - 2*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -590 - -593. Factor -9*m**h + 9*m**2 - 2*m**5 - 5*m**4 - 16*m**2 - 2*m + m**5.\nAnswer: -m*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43711 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -191, -177, -155, -125, -87?\n\"Answer: 4*o**2 + 2*o - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*w + 220, -4*w + 5 = 2*f - 55. Calculate the highest common divisor of 280 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 4*t + 6. Suppose 2*d = t*d - 3. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 4 = 59*s - 65*s + 4*x, -2*s - 22 = -2*x for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m. Let a(u) = -9*u - 4. What is a(p(g))?\nAnswer: 27*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 1. Let a(j) = -5*j + 6. Let w(x) = a(x) - 6*k(x). Suppose 16 + 14 = -5*p - 5*y, -p = -4*y + 11. Calculate w(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(27) + 1)*6.\nAnswer: 30 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(sqrt(2) + sqrt(16)\/sqrt(8) + 1) + 0.\nAnswer: -48*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 4*o + 8. Let k be b(6). Let i = k - -7. Let n(f) = f. Let h(y) = -2*y - y + 2*y**3 - 3*y**3. Determine i*n(c) + h(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 5*j**2 - j + 3. Let v be z(-5). Let m(i) = -8 + 5 + 336*i + 8 + 12. Is m(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1304\/489*(81\/(-12))\/(-3). Let r be (1 - 3)*-2*3. Calculate the greatest common divisor of g and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 250*g*k**3*u**2 + 2*g*k**3 - 2*k**3*u + 3*k**2*u**2 + 60*k*u**2 wrt g?\nAnswer: 250*k**3*u**2 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 7*v - 2. Let l be j(-6). Suppose 4 + 4 = -l*h, 0 = -3*y - 2*h + 8. Let f = -4 + y. Is f smaller than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 81. Let t = k - 56.8. Sort -1\/2, 2, t, 4 in ascending order.\nAnswer: -1\/2, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-2)\/sqrt(4)*-1 - (-4*1*sqrt(52) + 0)**2.\nAnswer: -832 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121 - -122. Let z = 3 + -3. Solve -u - j = -z*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (352\/80)\/((-153)\/(-85)*-1)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 7. Which is greater: n or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.093 (b) -95 (c) -3 (d) 0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 51*l**3 + 2*l**2 - 2*l - 3. Let j be m(-1). Let w = j - -50. Does 2 divide 21 - w - 3\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.084, -440 in decreasing order.\nAnswer: 4, -0.084, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101746 to 4 decimal places.\nAnswer: -0.1017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-36) - (-1442)\/8. Suppose 64 = -3*i + s. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -20, -2\/13, -2, -0.07, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1632606, -1632605, -1632604?\n\"Answer: d - 1632607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*m - 118*m = 3114 - 1161. Let j be (-1*10)\/((-2)\/3). Is m <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 - 5*d**2 - 2*d**2 + (-16 - 2*d + 52 - 26)*(2 - 2*d - 2) in the form s*d + t + z*d**2 and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (1 - 8 - -41).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(5) - (1 + sqrt(5))) + -3)**2*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1.269, -0.007, 10?\nAnswer: -1.269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-6)\/(-36)*-3). Let n(p) = -9*p - 1. Let q be n(-4). Let j be (s\/q)\/(1\/5). Let l(m) = -2*m**2 - 2. Calculate l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.45 + -33. Let y = i - 2.45. Which is the second smallest value? (a) -2 (b) 5 (c) y (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Suppose -6*h + 12 = 6*h. Let s(j) = -4*j**2 - 4*j - 3. What is h*s(n) + 3*c(n)?\nAnswer: -4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740340114?\nAnswer: 2, 870170057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -40*h - 273. Does 10 divide n(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 34*n - 9*n)*(32*n - 468 + 0*n + 469).\nAnswer: 1056*n**2 + 33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27811, 111241, 250291, 444961, 695251?\n\"Answer: 27810*n**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.28 + 2.02. Let u = 10 - r. Which is the closest to -1? (a) -4 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23341 + -1200. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -94, 4, -1, 5, 3 in descending order.\nAnswer: 5, 4, 3, -3\/7, -1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 36250 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 38 = -32. Calculate the least common multiple of 172*u\/7 + -2 and 2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*z - 64*z + 5830 - 8130 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j**3 - 179*j**2 + 61*j - 354. What is q(11)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 41*k**6\/30 + 5*k**3\/3 + 40*k. Find the second derivative of d(u) wrt u.\nAnswer: 492*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309803 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.5 (c) 0.05 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 14 + 25 = -5*t, 2*v - 3*t - 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/18 + 0 + 74\/(-12). Let p(i) = -i**3 + 5*i. Let q(f) = -f**3 + 6*f. What is r*p(u) + 5*q(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c - 3*n - 8, -2*n - 18 = -5*c. Suppose c*j - 1 = 7. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*274.5.\nAnswer: -54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:36 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 6399?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 10 = l, -7*l + 2*l - 2*n + 22 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 1057?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/17, 2, 7267?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 g when four letters picked without replacement from {g: 1, f: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5503 (base 6) in base 16?\nAnswer: 4ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 11:53 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -4, -1, -0.5, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/15? (a) -1\/5 (b) 1\/30 (c) -5 (d) -0.153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -160. Suppose -7*s - f*s + 5280 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 21*m - 43. Give f(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 17152a52?\nAnswer: 17152a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*h = -17380 + 19438 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 225. Let y = 5 + -5. Let o be m(y). Find the common denominator of 43\/10 and o\/48 - 6\/(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*o - 15, -j - 10 = 5*o + 2. Suppose v + j*a - 102 = -v, 204 = 4*v - 5*a. Let p = -25 + v. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*r + 8, 4*w = -w - 10. Calculate the greatest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - 8.15. Let v = 8 + h. Let n be (-8)\/6*(-3)\/2. Which is greater: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 94132 and 291.928134?\nAnswer: 93840.071866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 5*b - 2. Let i be r(4). Suppose g - i = -g. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -1.2. Let b = n - -0.9. Let r = 2102 - 2094. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 18 = -2*f, -4*f = -3*z + 4. Suppose -4*i + 0 + z = 0. Suppose 0 = y - 3, -q - 3*y + i*y = 2. Sort q, -3, 1 in increasing order.\nAnswer: q, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4890.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1656 and 65\/21942.\nAnswer: 87768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 2*v**2 - 3*v. Let b be c(-2). Let z = 10 - b. Suppose 5*o - 4*o - z*o + 3*o**3 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6223753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12371 - 12363. Let r(b) = b**2 - b + 1. Let x(h) = -5*h - 3. Let l(d) = -r(d) - x(d). What is l(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/384*40.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3700 and 3034.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -8*y + 2. Suppose -4*x + 0 + 8 = 0. Solve y*g + x*g + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i - 4. Let z(v) = -v + 1. Let j(a) = g(a) + 2*z(a). Suppose 0 = -5*p + y + 15, -4*p + 2*y + 33 = -3*y. What is j(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, d: 1, a: 2}. Give prob of sequence ss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 3*a**2 + 4*a + 4. Let m be 2 - -1 - -7 - -4. Suppose 16 = -2*j + 2*d - 6*d, -5*d = -4*j + 33. Suppose -j*h - m = -6. Give t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320\/720 - (33595\/(-9))\/5 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n - 8. Suppose -3*b = -2*j + 26, -j - 11 = -4*b - 34. What is the units digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 8*r + 105. Suppose 0 = -2*h - t + 15, 3*h + 3*t - 9 = r. Let d be 6\/15 + (-2)\/h. Solve -3*w = -9 - d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 191.1905 nanoseconds?\nAnswer: 0.0001911905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 1)*(-n + 3*n - 6*n) - 1 + 2*n + 1 + 0*n + 0*n - 1 - n)*(-7*n + 4*n - 2*n) + 0*n**2 + 2*n**2 - 3*n**2.\nAnswer: -26*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 1629769?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 374625340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/50)\/((-21340)\/80025)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -h + 8, 5*h + 0*h - 3*t = -12. Suppose -u - u + 2 = h. Solve -a + 0 = -u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 + 9\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3628 - -3631. Solve 4*x + 21 = t*i, 4*x = -5*i - 2 + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/(-6) - -3) + 1. Sort -3\/4, x, -3\/22 in ascending order.\nAnswer: x, -3\/4, -3\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-72864 - 2)\/(0 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/5 + (1 - 2). Suppose 0 = r - o*h + 16 - 3, -r = -2*h + 13. Let p = -11 - r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/20 and -77\/170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*w + 4, 2*w = -2 + 6. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 25*p**2 + 165*p + 487. What is w(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2610 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177.6766702 - 177.68. What is n rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*o - 156*o - 8190 = 145*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1360798787 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*w - 21 + 99, 33 = q + 3*w. What is the second derivative of q*r**2 + 36*r**2 - 71*r**2 + 3*r wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*r**2 + 8\/7*r + 0 = 0 for r.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111100011 + 101011110?\nAnswer: -10000010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 13576674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87? (a) -0.2 (b) 1 (c) -2\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -239, -437, -455, -137, 673, 2131?\n\"Answer: 26*m**3 - 144*m**2 + 28*m + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*w - 2844 = 807 + 2369 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + y + 17 = 0, -3*y = -19*f + 14*f - 29 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 185*f**2 - 6095*f + 305. Calculate h(-43).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003353 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 3096086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Suppose 2*t = -5*z - 4 - 2, -4*z = 0. Let u be ((-10)\/t)\/(3\/9). Suppose 0 = 3*o - o + u. Calculate k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 940 or 942?\nAnswer: 942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/7 + 436*m\/7 - 440\/7.\nAnswer: 4*(m - 1)*(m + 110)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 - 8*f - 9. Let z be m(-7). Suppose -3*s + 0*s + 5*y = 11, -3*s - 2*y - 46 = 0. Let r be 78\/(-105) - s\/(-30). Is r smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021681 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -90.202 and -17660.\nAnswer: -17750.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*(-18*1)\/(-6). Suppose -p - 285 = j*d, d + 565 = -3*d + 3*p. Let z = 76 - d. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g + 10. Determine p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 38. Let h(z) = -4*z**3 + z**2 - 9*z - 1. Let x be h(n). Suppose x = c + 21. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -13. Put g, -4, 0 in increasing order.\nAnswer: g, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27144, -60535, -116186, -194097, -294268, -416699?\n\"Answer: -11130*q**2 - q - 16013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -8. Let g be v + (1 + -1 - -1). Is g\/3 - (-97)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-7)\/(-9))\/(11 + -12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 21 - 34)*(0*c**2 - 3*c**3 + 0*c**2) + 15*c - 15*c + 15*c**3 - 1 + 1 - 2*c**3 as q*c**3 + t*c**2 + x*c + b and give q.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -63.862928.\nAnswer: -6.3862928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*i**3 - i**2 + i*p - 2*p + 1085 wrt i.\nAnswer: 336*i**2 - 2*i + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/851812735?\nAnswer: -2\/851812735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 3*g**2 - 34 + (-3 - 2 + 4)*(2 - 2*g**2 - 2))*(-1 + 2 - 12)*(25*g - 19*g + 6*g).\nAnswer: 132*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:40 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 8*q**2 + 7*q + 2. Let n be o(9). Suppose -4*h = -3*h - n. Suppose -2*x - h = -2*c, -2*c + 4*x + x = -137. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 3. Let p(o) = 25*o - 35. Let f(y) = 3*p(y) + 35*v(y). Let l(z) = z**2 + 3*z - 3*z + z**2. Determine l(f(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**6\/24 + 13*n**3\/6 + 8*n**2. Let l(v) be the first derivative of u(v). Let p(y) = -2*y. What is l(p(c))?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 807*m + 887 - 887 as x*m + o and give x.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*f = -35, -5*f = -5*o - 21 - 29. What is the remainder when o - -3*24 - 5 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7. Suppose t + d = -0. What are the prime factors of ((-3)\/(-9))\/(t\/(-42))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*g + 114 + 230 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/76 and -40.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {a: 3, r: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485555338.\nAnswer: 2, 53, 14014673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2\/11 (c) 34 (d) 81 (e) 8\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:29 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11743628 to the nearest 100000.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbryybyybwrbbwjw. What is prob of sequence rrbb?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/(58 - (-19415)\/(-330))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**6\/3 - 8*b**5\/5 + 8*b**3\/3 + 2*b**2 - 60. What is q in u(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 233 = -22*o. Solve 2*m - t = -7, 16 + o = -5*m - 5*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -551?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -11. Let f = k - -53. Suppose -6*q = -5*q - f. Calculate the remainder when 31 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 + -0.6. Let k = -0.08 + -0.22. Which is the closest to v? (a) -2 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-91)\/26 - 1. Let q = -2 + 1.7. Which is the second biggest value? (a) 4 (b) i (c) -2\/5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.259 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 + 2*x - 20. Give a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/7 - 30*i**4\/7 + 30*i**3\/7 + 310*i**2\/7 - 312*i\/7 = 0. What is i?\nAnswer: -3, 0, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 52350?\nAnswer: 2565150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = 2*k + 8, 3*w = -3*k + 63. Suppose -3*v + 25 = -3*n + w, 3*v + n - 25 = 0. Calculate the greatest common factor of v and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from rrrrrrrrnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12 - 15 + 42 - 4*y. Let s be o(3). Let z = -7 - -11. Solve -z = -2*w + s*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4096*t = -4*v + 4094*t - 26, 3*t = 3*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3787738 and 91299?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 + 150. Let d be ((0\/1)\/(-3))\/(-1). What is the closest to 2\/7 in d, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/255, -117088, 0.03 in ascending order.\nAnswer: -117088, 1\/255, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + (357 - (384 + 34)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*l - 3, -2*o - 2*l + 2 = -0. Suppose -2*v - 5 - 1 = o. Let f be (4 - -2)*3\/v. Let p(m) = m**2 + 4*m - 7. Give p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 1 + 1. Let w be (-4*(-3)\/6)\/j. Is (1 - w)*11 + -2 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 41. Suppose h = -4*n - 12, -3*z - 3*n + 9 = -2*n. Let j = 19 + -15. Solve z*m - 8 = j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12714, 50864, 114442, 203448, 317882?\n\"Answer: 12714*n**2 + 8*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let q(j) = 7424*j. Calculate q(u(f)).\nAnswer: 7424*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m**2 - 19*m**2 - 3*m**3 + 27*m + m**2 - 27*m.\nAnswer: -3*m**3 - 53*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.49044 years in centuries?\nAnswer: 0.4649044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from wmewwwqwwvezwwewe?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 11150147?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 4*p - 4*p + 25 = p - 4*k, 0*k = 12*p + 6*k - 192 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 36 = -2*r, 2*r + 5*k - 79 + 23 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874 at most as big as 536223\/286?\nAnswer: True","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 tttttrtttttttttttttt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 908\/5 - 181. Suppose -2*i + 5 = -i. Which is the nearest to -0.1? (a) -0.1 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13614771 (base 8) to base 4\nAnswer: 23301213321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*h**2 - 2*h**2 + 175*h**2 + (0*h**2 - 2*h**2 + h**2)*(-1 - 1 + 0) - h**2 - 3*h**2 + h**2.\nAnswer: 199*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67185716*p**4 + 4*p**2 + 1118900*p.\nAnswer: 1612457184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005619757 rounded to 5 dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010111010001 (base 2) to base 4.\nAnswer: -3113101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:58 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210.182 nanometers in millimeters?\nAnswer: 0.001210182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/44976 and 37\/2.\nAnswer: 44976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kig when three letters picked without replacement from {k: 1, r: 2, g: 1, i: 1, b: 1, v: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15937.87 days in seconds?\nAnswer: 1377031968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**9\/12096 + b**8\/4032 + 5*b**5\/12 + 23*b**2. Let i(j) be the third derivative of v(j). Let i(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 132019849.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**6\/90 - 11*l**5\/360 - l**4\/48 - l**2\/2 + 42*l + 82. Let v(r) be the second derivative of d(r). Let v(m) = 0. What is m?\nAnswer: -1, -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3476889 grams to micrograms.\nAnswer: 347688.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*y**6 - 430*y**5 + y**3 + 16*y**2 - 581 wrt y.\nAnswer: 1680*y**3 - 25800*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 664839, 1329683, 1994529, 2659377, 3324227?\nAnswer: 3989079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(1300) - (sqrt(13) + -2)*-1)**2.\nAnswer: -52*sqrt(13) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(36)\/sqrt(3)*1) + 2 + sqrt(112) + 1.\nAnswer: 3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 13.2. Let y = -1.20035 + z. What is y rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7201 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.3. Let r = 0.44 - 0.83. Let d = -0.01 + r. Which is the nearest to 0.2? (a) -2\/3 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**2 + 40*u**2 + 28*u**2.\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3, 0 = -5*j + j - 2*k + 118. Calculate the greatest common factor of 248 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/4)\/17*-4*2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008016354 divided by 1.\nAnswer: -1008016354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3216 + 0.32207832. Round k to five decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 69 - 17*o - 220 + 370.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 5)*((3*z - z + 3*z)*(-15 - 7 + 28) - 29*z - 108*z + 217*z) as i*z + p and give i.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q + 5. Let d(w) = 5*w + 6. Let m = 78 - 76. Suppose 3*k + m*k + 11 = -3*r, 2 = k + 2*r. Calculate k*s(j) + 3*d(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/584 and -22\/2263.\nAnswer: 18104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1134 divided by -5.\nAnswer: 1134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (-28 - -29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((-2 + sqrt(605)*2)**2 - (0 + sqrt(605) + 0)**2)*4.\nAnswer: -1408*sqrt(5) + 29104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -1752?\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -84. Suppose 0 = 4*t - 5*l - g*l - 9, 0 = -4*t - 2*l + 30. Let x(w) = 25*w**2 - t*w**2 - 13 + 13. Let y(m) = 2*m**2. Give y(x(s)).\nAnswer: 722*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 - 261440*j**2 + 2091228*j + 2352672 = 0. What is j?\nAnswer: -1, 9, 65352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + 0\/(-1). Let b = d + -1\/4. Let c = 1 + -2. What is the third biggest value in -0.3, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let k(b) = 1977*b. Calculate k(q(t)).\nAnswer: 1977*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 (base 10) in base 13?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + ((sqrt(104) - (sqrt(104) - (sqrt(104) - -3*((4*sqrt(104) - sqrt(104)) + sqrt(104))))) + sqrt(104))\/(sqrt(8)*2*-4)) + 0 + 0.\nAnswer: -8 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-800))\/((-3)\/(-504)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*i - 265*i + 196 = -430*i. Factor 5\/2*y**i - 21*y**3 + 58*y**2 + 16 - 60*y.\nAnswer: (y - 4)*(y - 2)**2*(5*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*v - 235*v + 459 + 764 + 5608 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 318863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.78525 rounded to 1 dp?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.749352845505 + -6640640.250653154495. Let q = -6640641 - m. Let l = q + -7. Round l to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Let b be 22\/6 + h\/12. Suppose b - 44 = -5*j. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 173*a**3 + 21*a**2 + 9*a + 9. Let d(o) = -43*o**3 - 5*o**2 - 2*o - 2. Let g(x) = 9*d(x) + 2*f(x). What is the third derivative of g(n) wrt n?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsca. What is prob of sequence cs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4965*j + 1193*j - 1151*j.\nAnswer: 5007*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/17)\/g*g**(-15)*g*((g\/g**22)\/g)\/g**23 assuming g is positive.\nAnswer: g**(-1023\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2*f + 35, -4*f - 8 = -28 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3\/14, -0.2, -1\/7, -2?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 22*k + 5*k)*(-5 - 4 + 57)*(-3 + 4 - 3).\nAnswer: 1536*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/39 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(16\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7273 (base 11) in base 15?\nAnswer: 2cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -804946 + 0.91624\nAnswer: -804945.08376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39015 and 397035.\nAnswer: 6749595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - (-9 + 10))*-2. Suppose -d - 3*d = -20. Solve g + 4 = -5*x, p = 6*x - 2*x - d*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 57 = -11*i. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 79, 206, 395, 652, 983, 1394, 1891?\nAnswer: 2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/(-22) - 2) + -1. Let z = -7339 - -7343. Sort 0.1, z, g, 3\/4 in decreasing order.\nAnswer: z, 3\/4, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5 = 3*k + 5*o, -1 = -k - o. Suppose k = 3*s + 2*s. Let g(u) = -u**2 - u - 6. What is g(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/21 (b) -399076 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sknlvsvx. Give prob of picking 1 k, 1 l, and 1 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4423*b + 2090*b + 2179*b)*(6 + 0 - 5).\nAnswer: -154*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6209981?\nAnswer: 17, 365293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:11 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*k - 193176, -3*i - 15*k + 144887 = -17*k. List the prime factors of i.\nAnswer: 5, 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*r + 3*a + 1716, 3*r - 2*a + 2574 = 0. Let x = 5081 + r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3045*v - 219 + 1299 = 3049*v. Solve 2*i - v = -88*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/2463, 0.4, 0.3, -0.016 in decreasing order.\nAnswer: 0.4, 0.3, -2\/2463, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r + 16. Let u be z(7). Let w = u + -97. Let n = w + 41. Solve x - n*q = -10, 5*x - 3*q + 5 = -2*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6*90\/60. Let x(i) = -15*i + 32. Let p be x(m). Which is the fourth smallest value? (a) 3 (b) 1\/6 (c) p (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3))\/((-4)\/(-2868)). Let q = 1676\/7 - s. Which is the smallest value? (a) -2 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 21112205104?\nAnswer: 21112205110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighteen sevenths of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -10647\/1016?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 18*k**2 - 10*k + 38. Let m be ((-210)\/84)\/((-2)\/(-4)*-1). Suppose 190 = m*i + 85. Is f(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 z when four letters picked without replacement from ccczccz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 9. Suppose -4*h - 2*h + 6 = 0. Let z(a) = -a + 1. Calculate h*j(m) - 6*z(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggrg. What is prob of picking 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/91 and -27\/7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 7*g - 6 - 8 = 0, -3*g = -v + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -4 + -3 - (-6 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5774b (base 15) in base 11?\nAnswer: -180188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 701319630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 406 + -160. Let i = d - 178. What is the greatest common divisor of 408 and i?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-39)\/9*540\/1800\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 409, 22, 4, 17 in ascending order.\nAnswer: 4, 17, 22, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/252*-9*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -68, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113718 or 113999?\nAnswer: 113718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 38 = 47. Let i = l + 22. Suppose -i*v + 4*v = -90. Calculate the highest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*y + 156 = 324*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-2)\/(-4 - -3). Suppose -1095*t + 294 = -1144*t. Put -2, z, t, -3 in increasing order.\nAnswer: t, -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**2*y**2 - 4*k**2*y - 3*k*y + 4*y**2 + 2 wrt y?\nAnswer: -18*k**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 17372074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 24. Solve f = c - g + 5, -c = 4*g - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1110 + -1115. Let c(g) = -6*g - 6. What is c(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/32*68 - 6\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336250489.\nAnswer: 7, 190892927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2588 - 4?\nAnswer: 2584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(832) + sqrt(832) + (-3*sqrt(832) - sqrt(832)) + sqrt(832) - (-4*(-3*sqrt(832))**2 + sqrt(832))).\nAnswer: -32*sqrt(13) + 59910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k**(2\/3)))*k)\/k)**(-3\/37)\/(((k\/k**4)\/k)\/k**(-2)))\/(k**(-7)*k*k*k\/k**0*k**(-2)*k**0*k) assuming k is positive.\nAnswer: k**(254\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11977 and 14413.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-173)\/(-2) - 10\/(-20) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 0.5 (b) 0.3 (c) -2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - (-139 + 73 - -22)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6464548542 to the nearest integer?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/2 - (-12)\/2. Let k(v) = -13*v - 4 + h*v - 14*v + 3. Is k(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41\/3 + 4\/(-6). Let h = z + -6. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) + (-665)\/(-245). Factor 110*v - 96*v**3 + 65*v**3 - 285*v**2 - 107*v**3 + 35*v**4 - 222*v**b.\nAnswer: 5*v*(v - 11)*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 375\/6*-12*1. Let n be ((-4)\/10)\/((-3)\/d). Round n to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u + 10*u + 0*u + 13 - 11*u + u**2 + 0*u. Let s be z(6). Which is the closest to s? (a) -1 (b) -4 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-5)*10\/2. Let l(i) = i**2 + 8*i + 7. Let n be l(-6). Put x, n, -3 in ascending order.\nAnswer: n, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/29)*z)\/z)\/(z\/(z*z*z**(-19))))**(-42) assuming z is positive.\nAnswer: z**(22008\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3455*h*k**3*r + 2*h*k**3 - 832*h*k**2*r - 3*h*k**2 + h*r - h - k**3*r wrt k?\nAnswer: -20730*h*r + 12*h - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -983*l**3 + 14*l**2 + 93*l + 115. Is z(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -57. Suppose -2*g - 1 + 3 = 0. Let p = g + 5. What is the smallest common multiple of j and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Let p(v) = v**2 - 5. Let b(z) = -3*c(z) - p(z). Find the first derivative of b(l) wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*k + 12*k + 2*k)*(2 - 2 + 2) - 3*k + 4*k + k - 4*k + 2*k + 0*k to a + t*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148*g**6 + 4*g**4 - 968*g**3 + 21*g**2 + 150*g + 126?\nAnswer: -17760*g**3 + 96*g - 5808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 597 = -2*z - 151, -3*a = -z - 327. Let g = 29 + 2. Suppose -q + g = -13. What is the highest common divisor of q and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -9. Let i be 297\/12 + (-2)\/(-8). Solve k + i = 4*w + 1, v*w - k - 29 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 559396 by 1307.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3855*r - 9458*r - 3583*r to q + n*r and give n.\nAnswer: -16896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67624.\nAnswer: 2, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - 9\/3 - -4. Suppose z - a = -3. Let n be (z + -6)\/((-3)\/9). Solve 0 = 5*j - 22 - n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 5:10 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686050, -685968, -685886, -685804, -685722, -685640?\nAnswer: -685558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -3 (b) 6\/5 (c) -3\/10 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - m + 2. Let c be z(2). Let n be -13*12*c\/(-12). Suppose -4*l + 49 = -3. Calculate the greatest common factor of n and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2879498?\nAnswer: 2, 1439749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 3489?\nAnswer: -3480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 165*g\/2 + 171.\nAnswer: -3*(g - 2)*(g + 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(-1)\/(-8)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213340 + 301796 = 2*g + 5*l, 772683 = 3*g - 3*l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 833 - 317. Let k = n - 513.63. What is k rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z + 4*z**3 + z**2 + 2*z + 12 + z**3 + 9*z. Let g(b) = -2*b**3 + b**2 - 1. Let d(l) = 4*g(l) + v(l). Find x such that d(x) = 0.\nAnswer: -2, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/((-6)\/(-16)). Suppose 2*r + 2*r + h = 75, g*h = 5*r - 99. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = 31*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 875156753 to the power of 1\/2, to the nearest integer?\nAnswer: 29583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 - -1 - (43 + -43). Suppose 38*z - 3*z - 38465 = x. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.523 - 1.897. Let g = 44 + i. Let u = g + -1.58. Which is smaller: u or -1.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 2. Determine o(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6*w - 18 = 0, 3*z + 58 = -5*w + 27 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + (-35)\/10 - -1. Put 13, k, -0.2 in descending order.\nAnswer: 13, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266*z - 195*z - 165*z)*(2 + 0 - 1) - 3*z + 3*z + z + 2 + 3 - 7*z + 4*z.\nAnswer: -96*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t**2 + 3*t + 12. Let y be w(-4). Find the common denominator of (6\/(-5))\/1*462\/y and -73\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/158 and -155\/66.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/2 + 42*j**3 + 960*j**2 - 2048*j - 196608 = 0. What is j?\nAnswer: -32, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66760, -66822, -66886, -66952, -67020, -67090, -67162?\nAnswer: -67236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 2. Let o be (-99)\/(-12)*(33\/9 + -1). Suppose -25*x = -o*x - 12. Let u(z) = -2*z - 1. Calculate x*u(t) + 3*f(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -83788646 less than or equal to -83788645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - w + 10 = 0, -4*a - w - 2 - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1599*q**5 + 4507*q**5 + 215311*q - 204450*q wrt q.\nAnswer: 58160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(11\/2)\/o**(-7\/4) assuming o is positive.\nAnswer: o**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -104?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfjjffsfsffsjfjffvfq. What is prob of sequence jjf?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f\/f**21)))\/f)**32\/(f\/(f\/f**(1\/18))*f*f**(-2\/13)) assuming f is positive.\nAnswer: f**(-149971\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/6*(-4)\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, j: 1, n: 5, f: 7, y: 1}. Give prob of sequence yfjf.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.985 * -3766.\nAnswer: 7475.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 10*c + 1. Determine d(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*h - 489143 = -40*h. What are the prime factors of h?\nAnswer: 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 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: What is the closest to 2399 in 2, -21, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 19. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28240, 113715, 256174, 455617, 712044, 1025455?\nAnswer: 1395850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18466 - -26804. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o - 3. Let p(m) = 19*m + 8. Let z = 48 + -46. Let c(h) = z*p(h) + 7*k(h). Let s be c(-2). Solve 3*i + 6 = -l, 7*i = s*l + 4*i + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -14) + -3 + 1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27419.59040919 - -3.\nAnswer: -27416.59040919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) 32 (c) -0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 52*p - 53*p - 11, -z + 4*p = 11. Solve 2*l - r - 3 = -0, -r + z = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3846 and 3205.\nAnswer: 19230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -135158.93.\nAnswer: -175706.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 381?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:32 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2667 + -1527. What is a rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:29 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12091*f = 12123*f - 160. Solve f*p + 17 = 6*p - 4*z, 26 = 4*p - 2*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + q = 4, 0 = 2*g - 3*g + 5*q + 24. Calculate the remainder when 19 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pupuu. Give prob of sequence upup.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50022 = -45*c + 27*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*27.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - -8 - 0\/3. Let v(o) = 8 - 20*o + 56*o + 81*o. List the prime factors of v(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*v - 589, v = 5*v + 4. Let q = 224 - z. Solve 2*s - f - f = 12, -5*f - q = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53652 + -53651. Let b = 4367901\/98 + -44570. Let r = b + 1\/98. What is the smallest value in s, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -13316.7\nAnswer: -5326.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4896\/33240) + 0 + (-8)\/(-204).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28504312 a multiple of 925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 843 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*b. Suppose -12 = -4*f, -117 = 2*c - f + 2. Let k = -56 - c. Solve 5*l - 20 = 5*h, -2 = k*l + b*h + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 19\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s - 4 - 21 + 12 - 5*s + 9*s**2 - 18. What is r(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -69, 141, 4 in descending order.\nAnswer: 141, 4, 3, 0, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, r: 8, l: 2}. Give prob of sequence rrlo.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2*m + 24. Let l be h(0). Let d = l - -3. Let w = d + -21. Calculate the remainder when 15 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 30800*h**2 + 415*h - 10 = 0.\nAnswer: -2\/77, 1\/80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 33*n + 10. Let j(o) = -31*o - 8. Let h(c) = -5*j(c) - 4*r(c). Let w(d) = 2*d. Give w(h(b)).\nAnswer: 46*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 9.01. Let g = -8.955 + j. Round g to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181543 * 1.4.\nAnswer: 254160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*x + 661*x - 201*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-560)\/11520*2\/28*15.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33598 (base 10) to base 2\nAnswer: 1000001100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 6*g + 5*g)*(g**4 - g**4 - 15*g**4).\nAnswer: -60*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -30 (b) -2\/5 (c) -5 (d) 0.1 (e) 5\/43 (f) 0 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 + 9*g**4 - 6*g**3 - 18*g**2 + 3*g + 9 = 0 for g.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 567528\/250380*(-6)\/2?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*i**6 - i**2 - 53 + 90*i**6 - 29*i**6 wrt i?\nAnswer: 26280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18257921 times 0.2?\nAnswer: -3651584.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 81*x**2 - 251*x - 108. Calculate d(84).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 9*u + 4. What is l(-12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqqiwbwqifwiqqfb. Give prob of picking 3 i and 1 b.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (0 - -3) - (-3 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -533175 * 11.\nAnswer: -5864925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 910574 to the power of 1\/2, to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15138 = -11*i + 33680. List the prime factors of i.\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -1\/4 (c) 0.8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17621 + -12632. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 774 = 9513. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b - 3*w - 9, 5*b + 2*w = 8. Let c be 3 + 3 + 4\/(-1). Suppose 0 = -5*i - c + 7. What is the lowest common multiple of i and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2650924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/11 + 1\/11*g**3 - 32\/11*g + 5\/11*g**2.\nAnswer: (g - 2)**2*(g + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 2. Let n(h) = -h - 1. Let j be n(-4). What is the remainder when 33 is divided by x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3) - (sqrt(3) + (sqrt(3) + 3)*-5)) + sqrt(3) - sqrt(36)\/sqrt(972).\nAnswer: 62*sqrt(3)\/9 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 9*k + 9*k + k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (120\/(-48))\/(3\/(-198)) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1508402*g - 1508410. Give v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1947, -15190, -51121, -121080, -236407, -408442, -648525, -967996?\n\"Answer: -1890*z**3 - 4*z**2 - z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u = -2. Suppose -l = u*l - 24. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a - 145 = 305 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 12 = -2*g, -4*u + 11*g - 33 = 16*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95471049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**2 - 10*s - 18. Let m be j(-3). Which is greater: -50 or m?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2687 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1520*m - 89495 + 89493 + 10122*m)*(2*m + 3*m - 7*m) as v + l*m**2 + d*m and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 0*y**2 + 0*y - 5\/3*y**3 + 1\/2*y**4 - 6. What is the third derivative of j(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t + 21. Let q be b(8). Let y = -83 + q. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 30*k - 25. Let d(a) = -a**2 - 15*a + 12. Let u(m) = -5*d(m) - 2*y(m). Does 4 divide u(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222.18 + 198. What is z rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 = -5*i, 5*d + 4 = -1. Let x = 1 - i. Suppose 5*l + 5*f - 75 = 0, 28 = -x*l + 4*l + 3*f. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -437 + 429.38. Let m = 7.22 + q. What is the nearest to 5 in -0.7, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 14*q - 7. Let c(p) = p**2 + 14*p + 7. Let h(i) = -6*c(i) - 5*o(i). Let a be h(-7). Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.9, -1\/5, 105\/8, 9.7, 1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8619c (base 13) to base 7\nAnswer: -2025306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122382883.\nAnswer: 7, 53, 329873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + f**3 + f**3)*(-42*f - f + 23*f - 64*f).\nAnswer: -168*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-2))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 49673 = 2*y, -8*c + 15*c + 5*y - 347616 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 53393263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 5*z + 7. Let x be w(-5). Suppose 4 = 7*a + x. What are the prime factors of 1 + (0 - a\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/2 - -15) + -3. Let h(i) = 7*i**3 + 9*i**2 + 6*i - 4. Let q(m) = -15*m**3 - 18*m**2 - 12*m + 9. Let g(d) = x*h(d) + 4*q(d). Factor g(n).\nAnswer: 3*n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Suppose -27 = 159*m - 168*m. Solve -m*o - r = -7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103095 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -17, 4, -5 in increasing order.\nAnswer: -17, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddyjjddm. What is prob of picking 1 y, 1 j, and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2 - 55. Let i(c) = -4*c - 8. Give i(j(l)).\nAnswer: -8*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 6, -26, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 534 - 1106. Let j = m - -720. What are the prime factors of j?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m**2 + 106*m - 1861*m**3 - 106*m - 52*m**2.\nAnswer: -1861*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -735 - -629. Let p = 106 + f. Let g be 1*((-2)\/2 - -1). Solve g = -2*w + 2 - p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4.4. What is the third biggest value in c, -1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-75)\/250)*12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/99*(-25830)\/(-140)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1452 - 1448. Sort -3, b, -37 in decreasing order.\nAnswer: b, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -17*a**3 - 26. Let x(j) = -j. Determine x(t(h)).\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 3*z**2 + 3*z + 2. Let t(u) = -7*u + 7. Let o be t(-3). Let v = o + -19. Calculate the lowest common multiple of c(-4) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n. Let a(d) = -799*d. Let s(t) = 59*t. Let v(g) = 5*a(g) + 68*s(g). Calculate r(v(k)).\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*h + 659 + 26 + 2307 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 246\nAnswer: -73.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82582017 divided by 1713?\nAnswer: 48209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r - 2*r)*(681 + 225 - 122)*(26 - 103 - 51) to z*r + x and give z.\nAnswer: 200704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 11:29 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bb1409 (base 12) in base 4?\nAnswer: -202012200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120 (base 3) to base 6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6081 + -5717. What is the lowest common multiple of y and 728?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -105)\/(21 + -23) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 251\nAnswer: -30.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5939674369 + 13.084.\nAnswer: -5939674355.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -32 + 28 + (-12)\/(-2). Put 68, 9, k, 0 in ascending order.\nAnswer: 0, k, 9, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 1125*n\/4 - 6412 = 0.\nAnswer: -112, -229\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-270)*3\/7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*s + 69879, 5*f = -45 + 55. Is s 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 1620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 35*z**2 - 3*z + 22. Determine q(17).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1000001011101110100110?\nAnswer: -1000001011101110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268005 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22110010 (base 3) in base 4?\nAnswer: -1200033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -76\/5*a - 72\/5 + 39\/5*a**3 + 10*a**2 - 1\/5*a**5 - 16\/5*a**4 = 0.\nAnswer: -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7233987, 14467971, 21701955, 28935939?\nAnswer: 36169923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/35 - (3 - (-69)\/(-21)). Suppose 0 + 1 = -5*k - p, -3*k - p = -1. Which is the third biggest value? (a) k (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 0)**2 - sqrt(637) - sqrt(104)\/sqrt(2) - ((sqrt(91) - sqrt(91)*1)*5)\/(sqrt(63)\/(sqrt(9)*-2)).\nAnswer: -9*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**4 + 8*p**2 + 0*p + 1\/6*p**3 + 0 - 1\/60*p**5. Factor d(u).\nAnswer: -(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-294)\/392)\/(3\/(-8)))\/((-2)\/((-64)\/(-2)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452146726 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 58.\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13825, -27629, -41433?\nAnswer: -55237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7053 + 7058. Put 1, i, -5, 0, 6 in increasing order.\nAnswer: -5, 0, 1, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-30)*1*35\/(-651)?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 31761710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-14)\/(-6)) + 52\/39. Let z(y) = 31*y - 5 + 2*y + 7 + 53*y. What are the prime factors of z(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = -23*t - 234 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 13*f + 16. Let v be t(-12). Suppose 4*d - 20 = v. What are 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 sixth root of 6719 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -97555 > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v - v)*(-3 + 6 - 2) + v - 6*v - v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45 + -63)*1\/(-6). Solve d*b - 30 = -3*k, -2*b + k + 25 = 4*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -3*-2*sqrt(110))\/(sqrt(30)\/sqrt(3)*-1))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmw when three letters picked without replacement from wewmwmdwddwmddm.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**15*q**(1\/17)*q*(q*q**(1\/2)\/q)**50 assuming q is positive.\nAnswer: q**(698\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-34))\/(39\/2574).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7344 and 2312?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 11*i + 11. Give s(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/((-20)\/(-8)))\/((-4)\/(-34)). Suppose -18*d = -j*d - 7. Suppose 0 + 10 = 2*r. Is r > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/2 + 89*p + 2948 = 0.\nAnswer: -134, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 234. Let u(h) = 3*h. Give u(o(s)).\nAnswer: 15*s - 702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.45 - 19. Let o = 0.1 - g. Let k = 0.3 + o. What is k rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3527 by -472.\nAnswer: 3527\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 + 166. Suppose 24*v - p*v - 35 = 0. Find the second derivative of -v*u**4 + 7*u**3 + 6*u + 9*u**4 + 3*u**4 - u**4 + 3 wrt u.\nAnswer: 48*u**2 + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -16*p. Let g(i) = -4*i - 4. Let a be g(-1). Let k(h) be the third derivative of 0*h**4 + a + 2*h**2 - 1\/60*h**5 + 0*h + 0*h**3. Calculate f(k(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55248 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3167 - (-12 - -7) - 8. Calculate the highest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:29 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 + 9*v**3 - 10*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -600*a + 608*a + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002837 rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 5. Let y be g(4). Let a be (3 - y\/1)\/(-2). Solve a*x + 4*x - 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20276?\nAnswer: 2, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 - 1 - 2)*(-n + 2*n - 2*n) in the form o + y*n and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 216900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = 91*i - 2990. Suppose 4*k + 78 = 6*k + 5*m, -5*m = -3*k + 92. Calculate the remainder when k is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17*n. Suppose 0 = -p - 2*z + 9, 0 = 9*p - 13*p - 5*z + 24. What is u(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17*u - 17. Let c(f) = -2*f**2 - 10*f - 18. Let k be c(-3). Let b(v) = 8*v + 8. Calculate k*o(q) - 13*b(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20892360 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - -2*sqrt(120)) + sqrt(120) - sqrt(330)\/(-1*sqrt(11)))\/(sqrt(12)\/(sqrt(32)*-5)).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4277557762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 12. Let y = f - -18. Which is the nearest to 3\/2? (a) y (b) -2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*w - 44966 = -67556 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o + 32*o + 1199*o**3 + 11*o - o**2 - 56*o.\nAnswer: 1199*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-23)\/(-414)*18)*(-3)\/(-24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 38355.\nAnswer: 115065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 771 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20272553*d**3 - d + 2918343?\nAnswer: -121635318*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20223 - -2930700.823.\nAnswer: 2910477.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 1. Let q be b(-2). Suppose -450 = -q*x - 2*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 3 + -4 - 4. Let j(o) be the second derivative of -o + 1\/12*o**3 + 1\/24*o**4 - 1\/4*o**k + 0 - 1\/40*o**5. Factor j(y).\nAnswer: -(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 11*j + 22. Let h be f(-9). Solve -h*d + 5*d = -5*y - 15, 0 = -5*y + d - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-798)\/56 - 30)\/((-6)\/(-160)*2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 696.164 to the nearest integer.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1245 times 66?\nAnswer: -8.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37382954 and 336.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/3 + 7*l**2\/2 - 8*l + 2. Calculate k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Let k(r) be the third derivative of r**5\/60 - 455*r**4\/3 + 5285*r**2. What is k(p(h))?\nAnswer: 4*h**4 + 7280*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 20*g**3 + 2*g**2 - g - 2. Let c be q(-2). Let t = c + 154. Suppose 2*o - 17 = 3*f, -5*o = 4*f - 9 + 1. Solve -o*i - 22 = -3*h + h, -i - h = -t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1914310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72, 57, 30, -9?\n\"Answer: -6*s**2 + 3*s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 45. Let g be j(11). Suppose g*v - 11*v = 84. What is the common denominator of 3\/v*11\/((-66)\/376) and 8\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 278, 306, 336?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, m: 1, l: 5}. Give prob of picking 3 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.791 + 0.991. What is the nearest to -1\/4 in -1\/7, 0.1, 0, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/5 + 2538*c**4\/5 - 88364*c**3\/5 + 62544*c**2 = 0.\nAnswer: -1303, 0, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 37*c + 118. Let f be z(-34). Let n(v) = 107*v + 237. Is n(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*f - 35*f = 67118 + 33122. Calculate the lowest common multiple of 784 and f.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14032 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9881, -19751, -29603, -39437, -49253, -59051?\nAnswer: -68831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(252) + sqrt(252) + 0 + sqrt(567)*-2 + 0.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -4, -j = -3*l - 10. Let g(i) = -6*i**3 - 21*i**2 + 38*i + 104. Let o be g(-4). Which is the closest to -1\/4? (a) 0.1 (b) j (c) -3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 8*l**2 - 8*l - 4. Let j be d(-7). Suppose -j*n = n - 12. Solve -z + n = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2967, 6697, 11953, 19497, 30091, 44497, 63477, 87793?\n\"Answer: 127*u**3 + u**2 + 2838*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -22 - (-94 + 81).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4600 divided by -100?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 32 = 4*c, 2*c + 2*q = q + 2. Solve 2*b = -c*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = n, -2*l + 5*n = -5*l + 15. Let k(b) = b**3 + b**2 + 2*b + 4. Let m be k(l). Differentiate 298 + 4*j + 15*j**3 - m*j - 296 wrt j.\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -379, -596, -835, -1102, -1403, -1744?\n\"Answer: -z**3 - 5*z**2 - 195*z - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8863230 to the nearest integer?\nAnswer: 2977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l - 6. Suppose -i + l = -3. Suppose 4*x + 5*k = 19, k + 3 - 11 = -i*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 148*g - 414. Let b be x(3). Solve 84 = -b*n + 16*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 250563*d**4 - 707472*d**3 + 749088*d**2 - 352512*d + 62208 = 0. What is d?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -769 + -9a?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 321441 or 21536592\/67?\nAnswer: 321441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/10 + (-1)\/(-2). Let s be (0 + 93)*m\/(-3). Is ((-2)\/1)\/((-4)\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - l - 24, l - 32 = -2*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200603.9 litres in millilitres?\nAnswer: 200603900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25258, 25253, 25248, 25243, 25238, 25233?\n\"Answer: -5*t + 25263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b. Let v(t) be the second derivative of 0*t**2 + 28*t + 7\/6*t**3 + 0. Calculate u(v(i)).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i. Suppose 3*r - 354 + 111 = i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/((-3)\/12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.186353459 and 5.\nAnswer: 4.813646541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458454?\nAnswer: 2, 3, 109, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + 25*y + 11. Calculate the remainder when l(-7) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 91. What is the remainder when i is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1683102*c - 841552*c - 841546*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -26\/5 (c) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366 = 72*r - 570 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 257*o + 5394. Let t be k(-21). Sort t, 49, 0.\nAnswer: t, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5.3. Let c be 6\/(-4)*(9 + -8). Let b = -7\/6 - c. What is the third biggest value in 0, i, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -420*s**2 - 480*s. Let u(p) = 22*p**2 + 25*p. Let g(y) = 96*u(y) + 5*w(y). Let n(m) = 498*m. Give g(n(b)).\nAnswer: 2976048*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 25*o - 8. Let c be y(-12). Suppose -c*f + 3*f = -1. Is (f*(-3 + 1))\/((-8)\/1516) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55)\/15 - -3)\/((-2)\/1347) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172430501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = 3*j, -31 = -2*z + 3*j + 2*j. Suppose z*p - 22 = -10. Suppose 0*i + 3680 = p*a + 2*i, 2*i + 2753 = 3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*y + 226*y + 3*n - 23 = 0, 0 = -32*y + 30*y - 5*n + 4*n - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4043 - 4043 + 8086 + 8*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2559*v**3 + 139*v**2 - 3*v + 11685582 wrt v.\nAnswer: -7677*v**2 + 278*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)*(-2)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g = 0. Let d = g + 4. Suppose d*o - 44 = 12. Calculate the remainder when 40 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -260 (b) -1\/4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddlfffdlfzldd. Give prob of picking 3 d and 1 f.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25497?\nAnswer: 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + (-48 + -6)\/(-6). Suppose 0 = 2*o - n - 1212. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 - 237.0000733. Round o to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 14*u - 2 + 1 as y*u + r and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/5 + 9*z**4\/5 + 3*z**3 - 5*z**2.\nAnswer: z**2*(z - 1)*(z + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.5 - -73.5. Let j = 34 - k. Which is bigger: j or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1101001011011100100111?\nAnswer: -1101001011011100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57131 - -12908. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7214249 divided by -6?\nAnswer: -7214249\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6 + 3 - 7 + 2*z. Let t be h(7). Let w(y) = -y**3 + 6*y**2 - 4*y + 3. Is w(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvf when three letters picked without replacement from vfff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*t - 1, 34*c - 25 = 29*c. Let i(h) = 1. Let r(v) = -64*v + 6. Let q(f) = -8*i(f) + r(f). Is q(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 859*v + 412*v + 487*v + 0.\nAnswer: 40*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -10331?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-28))\/((-444)\/(-21) + -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 0*u - 15 + 5*u + u**2 + 15. Let z be n(-7). What is the highest common factor of z and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54583989 to the power of 1\/2, to the nearest integer?\nAnswer: 7388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -12 + 1 + 281 + -250.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -359151*w**2*y**2 - 392847*w**2 wrt y.\nAnswer: -718302*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:13 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 303727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 3582486?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/(6\/(-64))*(-985)\/(-197).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 19. Let n be x(8). Let o = n - -7. Suppose -d + o*z + 7 = 0, 5*d - 125 = z + z. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbzzbzzbzbzz. What is prob of sequence bzzz?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 8*b - 7. Let v(n) = n**2 + n. Suppose -3*m + 3 - 6 = 0. Let p(w) = m*k(w) - 2*v(w). Let z be p(-7). Is z bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7181 - 3613. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {l: 3, g: 5, b: 4}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697312 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 11:38 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-520)\/(-29) - (20\/3)\/(33020\/89154).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-2*s**2 - s**4 + 2*s**2) - 304*s**4 + 144*s**4 - 49*s**4 + (s**4 + 2*s**2 - 2*s**2)*(-5 + 3 + 1).\nAnswer: -211*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 254, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*-1)*-1 + sqrt(91))\/sqrt(7).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154\/(-35) + 2\/5. Let b be (-6)\/j*20\/15. Factor 0*l - 2*l + 4*l**b - 2*l**2 - 2*l.\nAnswer: 2*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 8*z**2 - 2*z + 6. Calculate i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + 2 - 4) + -2. Let p(f) = -10 + 0 + 7 + 2*f. Let r be p(4). What is the highest common factor of r and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + -0.1574. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-33)\/(-22)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -2112, 2, -25 in descending order.\nAnswer: 2, 0, -3, -25, -2112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, -4, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26900 in 1, 1\/3, 43, 2\/13, -2\/7, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Let r(a) = -188*a. What is u(r(b))?\nAnswer: -376*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + -2.94. Let m be 9\/6*-2 + 16. Suppose -m = -9*b + 5. What is the smallest value in s, b, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-8)*k**11*(k\/(k\/k**2))**(22\/9))**(1\/54) assuming k is positive.\nAnswer: k**(40\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g + 5. What is the tens digit of q(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590952, -1181914, -1772872, -2363826?\nAnswer: -2954776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 - 4*l + 5*l + (l - 5*l + 2*l)*(1 + 1 - 1) - l + 5*l - 2*l + (-l + l + l)*(-1 + 7 + 8) + (1 + 3*l + l - 5*l)*(-1 + 6 + 5).\nAnswer: 5*l + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1037 or -1040?\nAnswer: -1040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 57 + 285*c**2 as o*c**2 + v + h*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*m + 26, 4*t = -m + 24 + 4. Suppose 0 = -5*y + 3*h + 4, -2*y + 5*h - 9*h + 12 = 0. Solve -16 = y*b - 2*w, w - t = -w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -2, -3\/8 in decreasing order.\nAnswer: 0.22, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 866063. Let c(s) = 2*s. Give c(m(a)).\nAnswer: 4*a - 1732126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5838540.75 seconds to weeks.\nAnswer: 9.653671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let g(s) = 675*s. Determine m(g(l)).\nAnswer: -675*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + 13. Let v = p + 8. Let l = 115 - v. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/13 (b) 3 (c) -0.5 (d) -4 (e) -28.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10 = -0*a - 4*m, -4*m + 2 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**4*j**2 + 3*i**3*j**2 - 9*i**2 + 10*i*j**2 wrt i?\nAnswer: 264*i*j**2 + 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 97, -2, -0.3386, 3, -4\/3?\nAnswer: -0.3386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 71.94118 and 3\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-953)\/(-104) - (-8)\/(-4). Let l = z + 115\/52. What is the common denominator of -97\/4 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -573*i - 4019. Calculate o(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/2)\/2*(-114)\/456.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1280 - -1164) + (4 - -57).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 5:28 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 - 5ab?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 5*k + 2. Let u be z(4). Suppose -2*h + 16 = -5*c - u, h - 2*c = 17. Let m = h - 9. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1060, -1, -70, 4, -9.\nAnswer: -70, -9, -4, -1, 4, 5, 1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 5*x - 295. Let s = -57 + x. Find the third derivative of -14*u**6 - s*u**6 + 0*u**6 - 7*u**2 wrt u.\nAnswer: -1920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.74 - -6.64. Sort v, -2, 3, 0.83.\nAnswer: -2, v, 0.83, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -3 - 1\/3*l**4 + 0*l - 8\/15*l**5 + 5\/6*l**3 + 3\/4*l**2. Factor x(j).\nAnswer: -j*(j - 1)*(4*j + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -0.06, -11, 2 in descending order.\nAnswer: 2, -0.06, -2\/17, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2)\/t)\/t*t)**(-10\/7) assuming t is positive.\nAnswer: t**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88283, -88294, -88309, -88328, -88351, -88378, -88409?\nAnswer: -88444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6 + z + 5 + 0 - 5*z. Let d(b) = 13*b + 3. Calculate 2*d(m) + 7*h(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*w + 278*w - 90*w.\nAnswer: 255*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87196*k**3 + 625*k**2 - 17*k - 144904 wrt k?\nAnswer: -523176*k + 1250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 3*r**2 - 3*r**2)*(2 + 0 - 6).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - 4) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*q + 16*q + 75*q + (1 + 0 + 0)*(4*q - 3*q + 0*q))*(1 - 1 - 1 + (5 - 3 - 1)*(1 + 2 - 5)) in the form j*q + r and give j.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 5*b - 2*b + (0*b - 2*b + 3*b)*(-3 - 1 + 3) - 3*b + 2*b - b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:51 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355 - 695 = -56*f - 54*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 12*v + 5. Let f(z) = z. Let l(d) = -6*f(d) + 2*s(d). Let r be l(-3). Let y = r + 201. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) + (-17)\/((-2652)\/(-3952)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 65*r**2 - 29*r + 1759. Calculate b(-64).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 13) + ((572\/(-234))\/11 - (-742)\/18)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 3\/151 (c) 2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/91 and -20\/39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.17 and 15421191.86?\nAnswer: 15421191.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 118748*x**2 - 881258592*x + 881377344.\nAnswer: -4*(x - 1)*(x + 14844)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 799529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**4\/24 + p**3\/6 + 3*p**2. Let t(v) = v**2 + v - 5. Let m(q) = -t(q) + 3*x(q). Let a be m(-5). Solve a*s + 2*s = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1627943699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 9*m + 4. Let c be u(9). Suppose 21 - 21 = c*f. Suppose -5*k + 2*d + 52 = -k, d + 4 = f. Calculate the smallest common multiple of 9 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255677231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2*-2)\/(sqrt(35)\/(sqrt(7) + sqrt(63))).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -11*b + 320. Suppose -56*f + b*f = -406946. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnh when three letters picked without replacement from {z: 4, o: 1, h: 3, n: 5, u: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403230 (base 8) in base 13?\nAnswer: 53b87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + z + 0*z + (z - 4 + 4 + (5*z - z - 3*z)*(26 - 70 + 30))*(3 - 1 - 4) to p*z + b and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**3 - 4*l**2 - 5*l + 3. Let d(y) = y**3 - y**2 - y + 1. Let i(n) = 4*d(n) - s(n). Let r be i(-1). Is 27\/4 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8980665?\nAnswer: 3, 5, 598711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143858156 - -143858108.3000297. Let c = -47.7 - h. What is c rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 297, 412, 493, 540?\n\"Answer: -17*b**2 + 166*b + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3\/7, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208381?\nAnswer: 191, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/12*12\/3. Let l = f + 5. Let g(m) = -18*m - 356. Let c be g(-20). Solve l = c*i + 1 + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f = -81*f - 1054 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*l + 3 = 0, -2*f - 3*l = -7*l - 12. What is the second biggest value in 1, -1\/4, f, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 8400?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26218 + 3.7273?\nAnswer: 26221.7273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5308*q - 6419. Let g be u(-5). Calculate the greatest common factor of 57 and g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -0.02, -2\/7, 17, -1.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**4 + 48*o**3 + 25*o**2 - 36*o - 216456 with respect to o.\nAnswer: -8*o**3 + 144*o**2 + 50*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:05 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/4 - 136*s**3\/3 - 269*s**2\/2 - 134*s + 1717. Let q(c) = 0. What is c?\nAnswer: -134, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851 a factor of 112858959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -23*n**4\/6 + 3*n**3\/2 + 3*n**2. Is a(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441222537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Factor -29404*z**2 + 14363*z**2 - 560*z - 155*z**3 + 15*z**4 + 14311*z**2.\nAnswer: 5*z*(z - 14)*(z + 1)*(3*z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o**2 - o**3 + 53*o - 53*o to the form g*o + l + c*o**3 + b*o**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -10320200?\nAnswer: -10320120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-7) - (-166)\/581. Solve g*j - 9 = 5*a, 3*a - 9 = 5*j - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, n: 6, i: 3, e: 2}. What is prob of sequence eiii?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/(-30))\/(897\/(-230)). Is -2\/711 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49752 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 20116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3093340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - 54 - (-3 - 6)) + 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7749, 15920, 24097, 32280, 40469?\nAnswer: 48664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(0 + 0 - 2) - 8 + 10 - 1)*(9*y + 8 - 8).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 - 3*t**2 + 15*t - 11. Let z(j) = -4*j**3 - 4*j**2 + 16*j - 12. Let a(x) = -4*g(x) + 3*z(x). Let a(m) = 0. Calculate m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*k - 512 = -74. Let z(j) be the first derivative of -1 + j + 1\/2*j**2 + 1\/3*j**3. What is z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55090, 55144, 55198, 55252, 55306?\n\"Answer: 54*k + 55036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 837 = -206. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 12*b - 20. What is the tens digit of q(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -3\/7, -81, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798585251?\nAnswer: 17, 4999, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56.5 - -7.5. Let u = 0.040680826 + 63.959221174. Let p = t - u. Round p to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -199*g + 1. Let k(w) = 7*w. Calculate c(k(a)).\nAnswer: -1393*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982015 (base 11) in base 10?\nAnswer: 3340826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 640 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 110530?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1258442839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.61232nm in kilometers?\nAnswer: 0.00000000006261232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48560 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 f = -338\/36669 - -388388419\/2933520. Let i = 631\/5 - f. Find the common denominator of i and -7 - 5\/(-300)*69.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1122\/136)\/(14\/8 - 1). Let w(i) = i**2 + 4*i - 5. Let x be w(-6). What is the third derivative of -x + 5*v**2 - l + 5*v**6 + 18 wrt v?\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002776 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36035*b - 7357 wrt b?\nAnswer: -36035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 170*a - 34 + 83 + 17 - 33.\nAnswer: -170*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(3*u - 6*u + 2*u)*(-4 - 1 + 2).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrbzmwxw. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13 + 14*c**4 - 23 + 4 - 73*c**2 + 4 wrt c.\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1909 + -21017\/11. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from 0.025339.\nAnswer: -13.974661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = -11*h + 12*h + 4*k, 4*k - 8 = 0. Let m = h + -102. Calculate the highest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let s(y) = -10*y**2 - 275. Give z(s(o)).\nAnswer: 20*o**2 + 550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 27*s**2 + 26*s + 38. Determine p(-26).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(110))\/sqrt(2))\/(sqrt(20)\/sqrt(4)*-5).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 330\/157 + -30685\/3768. What is the common denominator of x and (-437)\/(-1491) - (67 - (-35100)\/(-525))?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let k be o(0). Suppose 0*n = q + 4*n - 13, -5*q = 2*n + 7. Let j = q - -1. Sort j, 4, k in descending order.\nAnswer: 4, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26818 - 15425. Let z = f - 24593. What is z rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98856 is divided by 1647.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + ((0 + 1*sqrt(32))**2 - (sqrt(32) + 0 + 2) - (0 + (2 + sqrt(3200) + sqrt(3200) - sqrt(3200))**2))).\nAnswer: 328*sqrt(2) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 30 = 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**3\/6 - q**2\/2 + 4*q. Let k(g) = 18*g + 5. Let b(y) = -62*y - 16. Let r(l) = -4*b(l) - 14*k(l). Give -5*a(n) + r(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7600 and 202171400.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/24840 and -47\/287730.\nAnswer: 3452760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 - 16*l - 21. Determine g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*v + 4*s - 282 = v, 0 = 11*v - 13*v - 2*s + 156 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueueoum. What is prob of sequence ue?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59113 - 60*c**3 - 59113.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v + 9. Let i be z(7). Let x = -11 + i. Let y(p) = 7*p**3 - 6*p**2 + 6*p. Let a(s) = -s**3. Let f(k) = 6*a(k) + y(k). Calculate f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + n - 47 = 0, 5 = -0*n - 5*n. Let d be (44\/p + 4)*-12. Put -0.1, d, 15 in ascending order.\nAnswer: d, -0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 8:32 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 90. Is 26 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/7)*a*a*a**(-8))\/(a**(7\/2)\/a**(-10\/3)))**48 assuming a is positive.\nAnswer: a**(-4120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 6*z**2 - z + 8. Suppose 0 = 5*v - 14 - 16. Let n be i(v). Suppose -n*d = 6*x - x - 29, 5*x + 103 = 4*d. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.449 - -107.\nAnswer: 127.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 31. Find the first derivative of 0*v**3 + 10 - 9*v**3 + 2*v**3 - x*v**3 wrt v.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(23\/276). Let x(w) = -w**3 - 7*w**2 - 7*w - 6. Let r be x(m). Suppose 2*n + 363 = -r*y + 3*y, -241 = -2*y + n. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at most as big as -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8067 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7298514, 7298531, 7298574, 7298655, 7298786, 7298979, 7299246?\n\"Answer: 2*x**3 + x**2 + 7298511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 at least 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3630.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6835 + -6834.7. Which is the closest to -10? (a) -3 (b) t (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: bd23 (base 16) to base 5\nAnswer: 3022134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/7445 = -1300\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.06, 0.5, 9.\nAnswer: 0.06, 0.5, 3\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50235 and 272?\nAnswer: 803760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74387.12 micrometers to kilometers.\nAnswer: 0.00007438712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*x + 2778 = -16*x + 744 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m. Suppose -3*r - 3*u - 2*u + 24 = 0, m = 5*r + 2*u - 21. Let n = 5\/6 - 4\/3. Which is the biggest value? (a) -4 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/20 - 41\/140. Which is the second smallest value? (a) -1\/5 (b) w (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 120206*x**2 - 2 + 120127*x**2 - 2*x**3 + 2*x in the form q*x**3 + n*x + c*x**2 + w and give c.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16305053 (base 7) to base 11\nAnswer: 990319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2488749.3 from -272.\nAnswer: -2489021.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**4\/8 + 7*g**3\/3 - g**2 - 32. Let k(i) = 6*i - 29. Let s(h) = -3*k(h) - 7*q(h). Calculate s(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 10*k**2 - 2*k - 13. Let b be l(10). Suppose 0 = -j, -1 - 1 = -2*p - j. Let s be (-1)\/(p - (-36)\/b). Solve -5*o - 4 = s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 10:59 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 40 = -10*v + 14*v, -5*v = 3*m - 58. Let g(d) = 5*d - 78. Let i be g(m). Solve 4 - 14 = -3*r + i*j, 0 = 5*r + 2*j - 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*p - 9038 - 4*p**2 - 185*p + 242*p + 9038.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 37*l**3 + l**2 + l. Let v be d(-1). Let h = 105 + v. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3395881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 526539670 divided by 10.\nAnswer: 52653967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 = -4*g - 12, 0 = -5*g + k + 2. Solve 5*h - h = 3*z + 29, -3*h - 5*z = g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 3*x**2 + 3*x + 1. Let n be (-4)\/(-18) - 4\/18. Let c be n - -1 - 0 - -2. Is j(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 15*m**2 - 13*m + 17. Let z be 4\/5*(-175)\/10. Let y be f(z). What is the third smallest value in -0.4, -13, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*m + 8, -2*m - 9 = -v + 3. Let w be m\/(-3)*9\/6. Solve -4*d = -w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12420 = -6*h - 0*h. Let n = -1137 + h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 + 141. Let g(w) = w - 7. Let t be g(j). Which is greater: 3\/16 or t?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3787*a + 34 + 88 - 3788*a.\nAnswer: -a + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883670 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/6)\/(35\/105). Let s = 1.3 - 0.3. Which is the closest to s? (a) 5 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 15092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - t, -7*t = -3*z - 2*t + 32. Let x(w) = 5 + 0*w**2 + z*w + 7 - 2*w**2 - 14*w. Let m be x(-6). Solve m*o = 2*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8)**(3\/13) assuming m is positive.\nAnswer: m**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(-3) - 7 - 0. Put o, -1.9, 2 in ascending order.\nAnswer: -1.9, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 49. Let c be h(17). Calculate the greatest common factor of 160 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -476\/5*i**4 + 0*i + 196\/5*i**5 + 0 - 48\/5*i**2 - 64*i**3 = 0. What is i?\nAnswer: -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 126 = 3*h + 499, -5*j + 4*h = -943. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448186.\nAnswer: 2, 277, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**2 + 3*d + 289. Let n(q) = q - 1. Let f be n(-3). What is j(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8799 + 8799 - 9*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 981 = -18*n + 3*k + 903, 2*k = 2*n - 3 + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, 164 in descending order.\nAnswer: 164, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 65 - 20. Suppose -16*r + 18*r - 6121 = -5*g, 2*r = m*g + 6171. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 12*y + 6. Determine d(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n - 4. Let y(t) = 67*t + 41. Let d(c) = -18*c - 11. Let k(z) = -22*d(z) - 6*y(z). Give -6*k(w) + 5*o(w).\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9389 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 3\/2, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 776 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49435.449 days in weeks?\nAnswer: 7062.207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/99 and -71\/711?\nAnswer: 7821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(119) - sqrt(119))*-5)\/(2*sqrt(63) - 2*sqrt(847)).\nAnswer: 15*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjzzjjjzjzzzzjjjzjz. Give prob of picking 1 z and 1 j.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92414 and 23506.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:23 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411321 - -22?\nAnswer: -411255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**3\/3 - g. Suppose 0*u + 4 = 2*u. Determine w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 4404*t + 128520.\nAnswer: 4*(t + 30)*(t + 1071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Let v be (-2)\/h - 65\/(-15). Put 4, -2, v in decreasing order.\nAnswer: v, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -3*m + 5\/4*m**2 + 21 - 1\/6*m**3. Find d, given that k(d) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 2, 0 in decreasing order.\nAnswer: 8, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28495 and 3.\nAnswer: 85485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b**4 + 2900*b**3 - 13544*b**2 - 16416*b = 0.\nAnswer: -108, -1, 0, 38\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313 + 323. Calculate the highest common factor of 110 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**5 + 1096*x**4 + x**2 - 48810?\nAnswer: 300*x**2 + 26304*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.92 * 0.4\nAnswer: 0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63764 and 4484.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t + 29*t + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10251\/(-804))\/(45\/12).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - d + 3*d + 6*d as z*d + m and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98.766 - -0.234. Let b = h + -485. Let w = -351.6 - b. What is w rounded to zero decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 5*w - w)*((3215 + 3510 - 7069)*(2 + 0 + 1) + 4 - 5 + 2 + (3 + 3 - 4)*(-4 + 1 + 4)) to n*w + z and give n.\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 11:42 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3592, -6094, -6450, -3586, 3572?\nAnswer: 16098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 1, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1984, 1992, 2004, 2020, 2040?\n\"Answer: 2*m**2 + 2*m + 1980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 + x - 9. Suppose -4*v + 20 = -2*g, -3*g = 3*v - g - 29. Let j be a(v). Let f be 1 + j\/2*-2. Solve -4*p = -f*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/153*2016\/(-896)*8\/(-6)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 3\/13, 4, -25\/3?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*c - 245 = 0, 5*b = c + 319 + 82. Calculate the highest common divisor of 30 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + -c1?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-x**2 + x**2 - 7*x**2)*(1 - 4 + 1) + 6*x**2 - 4*x**2 - 3*x**2)*(x**2 - 4*x**2 - 4*x**2) to v*x**4 + l*x**2 + s*x**3 + j + n*x and give v.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/60 - 35*o**3 - 166*o. Let l(w) be the second derivative of x(w). Let u(c) = 2*c**2 + 72. Calculate l(u(p)).\nAnswer: -4*p**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -765+6\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 7*h + 11. What is the hundreds digit of z(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyny when four letters picked without replacement from nnyyyyyyyyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8 - 2*p + 0*p - 2*p**2 - p**3 - 4*p**2 - 3*p. Suppose -k + 3*k = -12. What is the tens digit of q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21430050 divided by 3?\nAnswer: -7143350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 98.995*-0.1\nAnswer: -9.8995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1007 - -5?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150049, -600208, -1350471, -2400838, -3751309?\nAnswer: -5401884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 601109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220 + 2123?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142632 and 8998920.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -140553549 and 5.\nAnswer: -140553544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10162828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1296950 - -9809950. What is k rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 91. Let k be -7*((-184)\/(-20) + 3). Let m = k + 85. Which is the closest to m? (a) -2\/9 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 364 - 346. What is the least common multiple of (72\/20)\/(a\/225) and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4588 + -1641. Let i = -894 + d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*x - 58*x + 33 + 171*x.\nAnswer: 35*x + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 2576 = -48*c. Let f be (c\/6 - -2)\/((-80)\/240). Sort f, 3, 4 in decreasing order.\nAnswer: f, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*r + 749 = -4147 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/4 + 8*i**3\/3 + 9*i**2\/2 + 238. Calculate g(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405546486?\nAnswer: 2, 12907, 54449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74912.2 decades in millennia?\nAnswer: 749.122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 882\nAnswer: 617.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzkpi. Give prob of sequence zp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 10654968 to the nearest 10000.\nAnswer: 10650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144b0a6 (base 12) to base 2.\nAnswer: -1111100100111010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552538 and 6832.\nAnswer: 4420304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -32, 6, 44, 82?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-g**3 - 4*g**3 - 13*g**3) + (11*g + 54*g**2 - 11*g)*(2 + g - 2) - 2*g**3 + g**3 - g**3.\nAnswer: 88*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4444 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(100)\/(sqrt(10)*2)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*r = -120, 8*w - 2*r + 123 = -231 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-37)\/(-15) - 2) + -5. Is f not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44303 = 44305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-22 + 25 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7719, 7715, 7699, 7665, 7607, 7519?\n\"Answer: -s**3 + 3*s + 7717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218665 is divided by 217771.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 534*r**2 - 2.\nAnswer: 534*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**26*i*i)\/(i\/(i\/i**(1\/4))))\/(i\/(i*i**(-5)*i)*i*i*i**(-5\/7)*i))**(4\/5) assuming i is positive.\nAnswer: i**(-827\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1490990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -429, -585, -703, -789, -849, -889?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9388341 micrograms in nanograms?\nAnswer: 938.8341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432 or -433?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 32, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from eeeekkkeee.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 3:50 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -1335\/28?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6842356?\nAnswer: 2, 19, 90031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-6)\/(72\/3822) + 2)*-2 and 2.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1497 * 563.\nAnswer: -842811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 42*f + 253. Is t(51) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/18365 - 1079864\/18365. Is -58 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277908472 at least -555816945\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 6*z**2 + 8*z - 6. Let m be (-54)\/(-8) + 2\/8. Let l be o(m). Let f be l\/(2\/12*2). Solve -g = -4*g + f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-84100)\/8)\/(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 2. Let y be p(6). Suppose -2*t + 17 = 3*g, 0 = -4*t - 0 + y. Suppose g*z - 12 - 13 = 0. Solve c + 4*k = 6*c + 26, -z*k + 20 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765955850?\nAnswer: 2, 5, 11, 41, 33967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24396 and 1520256?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -693 - -698. Solve 3*d - 3*j - 3 = 0, 0 = 10*d - 6*d + v*j - 31 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4 + (-20 - 555\/(-30)). Let k = 0.2 - 0. Let x = k - 0.3. What is the third smallest value in x, z, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*z + 406*z - 79*z - 5 + 46*z.\nAnswer: 701*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.13 + -5.13. Let w = -0.06 + 0.08. Let g = -2.98 - w. What is the second smallest value in 5, 3\/7, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from yyldlddllyld?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 26. Suppose 0*a - 4*a - 12 = 0. Put 2, n, a in increasing order.\nAnswer: a, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 79. Let n be (-3)\/(-30)*5*-88. Let h = n + r. Solve 3*k + 3*w - 5 = 4*k, 5*k + 2*w - 9 = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 47*a**2 + 33955*a + 1658983. Give p(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/(-12) - (-28)\/(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -110*k + 246*k - 16*k - 110*k. Let s(u) = -21*u + 11. Let o(i) = -7*i + 4. Let d(r) = -11*o(r) + 4*s(r). Calculate d(v(f)).\nAnswer: -70*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -134.899\nAnswer: 188.8586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0, 2, -5, 22.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35)\/(-15))\/((-1)\/3). What is the nearest to j in 3\/4, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(-9)\/c))**(-20\/7)*c**(-5)\/(c\/c**(-23)) assuming c is positive.\nAnswer: c**(-383\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1239)\/222 - (-3 + (23 - 1479\/58))?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + 3*d)*(1 + 1 - 6 + (1 + 2 - 1)*(1 + 2 + 3) + (-4 - 1 + 3)*(1 + 0 - 3) + (-4 + 4 + 2)*(5 + 9 - 4)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/6 - (-9)\/54. Let z be 3\/(-3) - 2*-2 - d. Find the third derivative of 6*j**6 + 2*j**z + j**2 - 16*j**6 + 4*j**2 wrt j.\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.1984 months in millennia?\nAnswer: 0.0071832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 69*b**2 - 158*b - 1149. Calculate c(-71).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*b*g - 72108519*b + 334044*g**3 wrt g?\nAnswer: -38*b + 1002132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1108173*p**3 - 900*p + 216 wrt p?\nAnswer: 6649038*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let l(s) = -3*s**2 + 57. Determine l(f(a)).\nAnswer: -12*a**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-488)\/3*(-6 - -12 - 9). Suppose -2*j + g = 5*p, 0*p - 2*j - 296 = -3*p. Calculate the greatest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*j**2 - 108*j**2 - 86*j**2 - j + j - j**2 + (-3*j + j + 4*j)*(0*j - j - j) + 4 - 4 - 2*j**2)*(6*j - 3*j - j).\nAnswer: -334*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904663 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 4*i - 5*i + 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*o - 20 = -102*o - 146*o - 4*j, o = 4*j + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 6 - -2 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 94181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -788016484+-47.2\nAnswer: -788016531.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dc24 (base 16) in base 10?\nAnswer: 187428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 98. Suppose -60 = k - 4*k. Let i = k + -6. Solve -i = v*p - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -570 - -570.942. What is v rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/18*-3*(-2)\/42?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -336807, -336806, -336805, -336804, -336803, -336802?\n\"Answer: z - 336808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41089.336 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 6 = s, 0 = s - 3*t + 2. Let l be (4\/s - 2)*2. Which is the closest to -1? (a) -1 (b) 2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76\/59 - -1594\/413. Let g(o) be the first derivative of 7 + 6\/7*o**2 - 2\/21*o**3 - f*o. Factor g(d).\nAnswer: -2*(d - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 - (42 + -48)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-25))\/((-6)\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-174))\/((132\/(-32))\/(-11)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*t + 13, t + 0*t = -3*k - 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*o - 40 = -6*w, 3*w + 5*o = -1700 + 1724 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1108088 weeks to milliseconds.\nAnswer: 67017162.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9224)\/(-36))\/((-20)\/(-90)).\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - x**2 + 3*x + 3. Let z be v(-3). Let o be (1\/3)\/(4\/z). Which is smaller: 4\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21259 = t + 22114, 86740 = 4*j - 4*t. Suppose -14662 = 10*l + j. Is (2 - 1*9\/3)*l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -580500 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r**2 - 74*r**2 - 44*r**2.\nAnswer: -149*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k = -17*i - 76, -2*k - 5*k + 13 = -6*k - 4*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 11 = 2*y, 4*y - 22 - 1 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76\/19 + (2 - 0). Suppose f*v = 538 + 914. What is the greatest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*l = 23, 0 = 2*z + 5*l - 0*l + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 - 4*n**2 + 5*n**2 + n**2. Let s(x) = -2*x + 1 - x**2 + 2*x. Let d(j) = 3*j**2 - 2. Let y(r) = d(r) + 2*s(r). Give y(a(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 142651+98.82\nAnswer: 142749.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/((v*v\/(v*v\/v**18*v)*v)\/v*v))\/v))\/(v**(-21)*v) assuming v is positive.\nAnswer: v**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -10 - (3 - (-8 - -7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 13 + 2 = s. Calculate the highest common divisor of s and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 64. Solve b - l = -8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c589c1 (base 13) to base 6\nAnswer: 534232000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35787 and 51903?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*v + 5*y, 4*v + y - 10 = 3*y. What is the highest common factor of v and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2508 - -2501.598. Let x = -6.3 - y. What is x rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = k - 1, -7 + 10 = 3*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.2 - -149.2. Let v = d - 128.99999932. What is v rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678918385 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464767, -464755, -464729, -464683, -464611?\nAnswer: -464507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/7 - 47\/14. Find the common denominator of l and 107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86069 less than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4161797 is divided by 1040446.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + r + 1. Let i(f) = 2 + 5*f - 3*f + 2*f. What is -i(c) + 2*w(c)?\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/137 + 164\/411. What is the nearest to y in 3\/2, 6, 9\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/((-420)\/(-14))*20\/18?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -4. Suppose -4*k - k + 25 = 0, -5*k + g = -2*z. Let a = 3 - -13. What is the lowest common multiple of z and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -101 + -4a98?\nAnswer: -4b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279 - -218. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13484 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:30 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*u - 3*u = -8*u + 5814 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 156*r**2 - 19*r**2.\nAnswer: -185*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, and 2 z when four letters picked without replacement from {o: 1, a: 1, t: 2, z: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 767494138.2 + -7872.\nAnswer: 767486266.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399 + 701. Let l = -320.9 + h. What is l rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:57 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/(-145))\/((-6)\/70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818000 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*(-90)\/4. Let i = -2 + m. Suppose 2*y - 85 = -i. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w + 2. What is the remainder when 20\/((-120)\/126)*-3 is divided by q(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.94 + 32.94. What is the nearest to -2\/5 in -11, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 18060648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 - -296. Which is the closest to -26? (a) m (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 2*h + 2, 0 = 3*f + 6*h - 11*h + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 9 - (10 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 21*m - 12. Let g be c(-12). Differentiate -3963 + 4153 - g*r**2 - 10*r**2 with respect to r.\nAnswer: -68*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-474)\/(-30) + (-1)\/(-5). Suppose -2*n - d = -2*j, -3*j + 21 = -3*n + n. What is the greatest common factor of 35 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4529414 to 3 decimal places.\nAnswer: -1.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuq when three letters picked without replacement from uqtqrqquuet?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3335, 3348, 3357, 3362, 3363?\n\"Answer: -2*l**2 + 19*l + 3318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 672\/49)\/((-354)\/826)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -26*o + 24. Let l be z(-12). Suppose -3*m - 3*m + l = 0. Let k(j) = 56 + j**2 - m. Let s(q) = -17*q. Determine s(k(b)).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8.84 (b) 9\/5 (c) 1\/2 (d) 4 (e) -5 (f) -6.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2\/6 + 53189*v\/6 - 58520\/3 = 0. What is v?\nAnswer: -10640, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnhv when four letters picked without replacement from hhtthhtitthvhttnnht.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*m**3 - 4*m**3 + m**3)*(-2*m - 2*m + 7*m) + 3*m + m**4 - 3*m to the form b*m**3 + o*m**4 + f + r*m**2 + k*m and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 15576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeemseseemee. What is prob of sequence eems?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5834444 by 19.\nAnswer: 307076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59423, 59310, 59197, 59084?\nAnswer: 58971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0428 * -37434\nAnswer: 1602.1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -620*j**3 + 6248 - 1041*j**4 + 313*j**3 + 307*j**3 wrt j.\nAnswer: -4164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -3*w**5\/20 - w**4\/3 - 2*w. What is the third derivative of v(m) wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20822, 41700, 62590, 83492, 104406?\nAnswer: 125332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v + 29. Find the second derivative of -v*p + 88*p**4 - 11279*p**3 + 11279*p**3 wrt p.\nAnswer: 1056*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**2 + 73. Let x(i) = 13 - 3*i + 6 + i. Calculate x(m(b)).\nAnswer: -4*b + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -211*-13\nAnswer: 2743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*z - 26, -200*p + 203*p = -18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/8 + (-33)\/88. Solve 5*c + b + 16 = -4*h, 0 = -3*c + 2*h + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*903\/(-86))\/(-3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1449303785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + c = -c - 9, 3*f = 4*c + 37. Suppose 3*i - f + 4 = 0. Let w(k) = 2*k - 8*k**3 + 8 + 4*k**2 + 7*k**3 - 1. Determine w(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15386*k + k**2 + 31461*k - 16075*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18)\/(528\/297)*(2\/5)\/2\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 19*m**2 + 10*m - 4. Let j(s) = s**3 - 37*s**2 - 22*s + 9. What is -4*j(u) - 9*y(u)?\nAnswer: -4*u**3 - 23*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -6, -3*i + 160*v = 143*v + 23 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43092 divided by 6?\nAnswer: 7182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3)*-3 - sqrt(3)) + (sqrt(18) - sqrt(882))\/sqrt(6))**2 - (sqrt(6)\/(sqrt(14)\/(sqrt(7) - (sqrt(7) - sqrt(112)))) + -3).\nAnswer: -4*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1160624860 by 2374.\nAnswer: -488890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 94, 95, 106, 133, 182, 259, 370, 521?\n\"Answer: r**3 - r**2 - 3*r + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4738 - -6913. What are the prime factors of o?\nAnswer: 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 7*k**2 + 8*k + 9. Let n(a) = 2*a**2 + 3*a + 3. What is -11*n(x) + 4*y(x)?\nAnswer: -4*x**3 + 6*x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 93. Let k = 19 + h. Calculate the smallest common multiple of k and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21833366827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/7))**49*o\/(o**11\/o)*o*o**3)**30 assuming o is positive.\nAnswer: o**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12*85184\nAnswer: -1022208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5438 divided by 3382?\nAnswer: -2719\/1691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 388760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 34. Let u = 60 + -57. Let x(b) = q - 28 + u*b. Let t(i) = -i**2. Give t(x(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(119)*2 - sqrt(119)) + sqrt(119))*-2*-6)\/((sqrt(168)\/sqrt(8))\/sqrt(3) - sqrt(49)\/sqrt(7)*2).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19870191 divided by 2207799?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 185.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 10*p**2 - 8*p - 5. Let a(j) = -2*j + 3. Let x be a(-3). Let h be z(x). What is the units digit of (-226)\/(-8) - 1\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eck when three letters picked without replacement from ckeaz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*r - 12, -2*q = -5*r - 290 + 292. Let t(b) = 7*b**3 - 5*b**2 - 22*b. Let k(w) = -6*w**3 + 4*w**2 + 21*w. Calculate q*t(g) + 5*k(g).\nAnswer: -2*g**3 + 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {j: 1, q: 1, m: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1064 (base 15) to base 2.\nAnswer: -110110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {h: 1, q: 1, t: 1, c: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 22*w - 11. Let v be m(19). Suppose d - 29 - v = -r, -4*d + r = -325. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -m - 691, 2680 = -4*m - 11*f + 7*f. Which is smaller: m or -3392\/5?\nAnswer: -3392\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - m - 48 = 0. Suppose 17*o = m*o + 319. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - m - 14*m + 28*m = 2*q + 221, -3*m - q + 91 = 0 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42201976 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437967 - 66967. Round t to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(153) + sqrt(153))*-2*-5 - (sqrt(153) + -1)*-6*1)**2.\nAnswer: -216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5059*m**3 + 2502*m**3 + 549*m**3.\nAnswer: 8110*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -20.92797.\nAnswer: -20.82797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 49*q**3 - 94*q**3 + 185 + 8*q**3 - 185 as u*q**3 + n*q**2 + c + d*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * -8102.\nAnswer: -526630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158465936 + 5070413677\/32. Let k = y + 15511. What is the common denominator of 71\/4 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 86*m - 84*m, -m + 3 + 11 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {m: 3, x: 1, k: 7, f: 5}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3228\/(-190) - (-1 - -1378)\/(-81)\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15))\/((-85)\/(-9210600)*168).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2313\/29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + r**2 + 163.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 43.37. Let z = 0.07 - o. Sort z, 2\/15, -2 in decreasing order.\nAnswer: 2\/15, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 + 115*m**3 - 405*m**2 + 485*m - 190.\nAnswer: -5*(m - 19)*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*s - 5*s - 11135 - 4153 = 0 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 12, 5*i = 4*i - q + 1. Let w be (-26)\/(-7) + i\/(-7). Suppose 5*m + 3*y - 89 = 0, 6 = -w*y + y. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 22*j - 133. Let f be c(27). Let t(o) = -o**2 + 7*o - 6. What is t(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -b + 2*a + 8, 0 = 4*b - a - 5. Let h be -3 + 5 - -2*4. Let d be (-2)\/h + (-3)\/(-45). Sort -1\/2, d, b in descending order.\nAnswer: b, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431.6567l to millilitres.\nAnswer: 431656.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4969, -4952, -4935, -4918?\n\"Answer: 17*d - 4986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -447 - -420. Let a(k) = -7*k - 186. Let l be a(o). Factor 2*i**2 - 1\/2*i**l - 2*i + 0.\nAnswer: -i*(i - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34, -3.\nAnswer: -34, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 2*k**2 + 195*k**3 + 52*k**3.\nAnswer: 247*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1043\/710 - 11\/355. Find the common denominator of -41\/3638 and w.\nAnswer: 3638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*u + 5*f, 0 = 3*u - 0*f - 5*f + 16. Let c be ((-3)\/(-2))\/(4\/8). Find the second derivative of 40*a**c + 5*a - 71*a**u - 4*a + a wrt a.\nAnswer: -186*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**6\/1080 + i**5\/540 - 5*i**4\/216 + i**3\/18 - 12*i**2 - 31. Let o(j) be the second derivative of y(j). Solve o(f) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301.12 + 5.\nAnswer: 306.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-52 - -60) + (1 - -316)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*1 - sqrt(170))\/sqrt(10)*-6 + -4)**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 6*s + 12. Suppose 14 = 3*k - 16. Let z be v(k). Let c = -642\/5 - z. Is c less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r + 5*k, 90*k - 89*k - 15 = -4*r. Suppose 0 = -0*a - a. Solve 8 = r*l, h - 2*h + 5*l - 10 = a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 5*s - 5. Suppose -3*y - 15 = 3*m, -4*m - 7 = -23. Let u be ((-5)\/(-3))\/(3\/y). Let n be (4 + -2)*u\/(-2). What is a(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - 0 - ((0 - 16) + -39 + 63).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(72))\/sqrt(4) + 4*((4*-1*sqrt(5) - sqrt(5) - sqrt(5))**2 - sqrt(5)) + -5.\nAnswer: -11*sqrt(5)\/3 + 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + 2*sqrt(700) + 2 + 1.\nAnswer: 3 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 26 = -5*y, -5*g - 5*y = -10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/7682 and -67\/1670?\nAnswer: 38410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43871903 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from zwwzwizwizzuwwww?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/(-9)) - (-394)\/(-3). Let k = -134 - f. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 0*y**3 - 2*y**3)*((2 - 2 - y)*(3*y - 2*y + 2*y) - y**2 + y**2 + 2*y**2).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h + 1. Suppose -a + 2*f - 14 = 0, -7*a + 42 = -10*a - 4*f. Let b be 6\/7*(a + 7). Let w(o) = 5*o**2 + 5*o + 6. What is b*u(p) + w(p)?\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, f: 2, z: 1}. What is prob of sequence fz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 4*l - 4*y, 3*l + 3*y - 278 = -53. Let b = -38 + l. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-3 + 56\/(-6)). Let o = 66 + q. Let v(l) = -3*l**3 - 23*l**2 + 4*l + 4. What are the prime factors of v(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -741, -2, -22, 0, 5, 24 in descending order.\nAnswer: 24, 5, 0, -2, -22, -741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.060678 + 1.53.\nAnswer: 1.590678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 1, j: 4, z: 10}. What is prob of sequence jzjo?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (1 - -2))*46. What is the highest common divisor of 46 and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325.301ug in grams?\nAnswer: 0.003325301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-48)*(-480)\/(-12480)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:59 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 163*t + 3140. Give r(-21).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418732.\nAnswer: 2, 104683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:15 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3\/(44\/14 + 39\/(-13)) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 4*o**2 - 3*o - 2. Let z be r(-2). Let f be (-5 + -1)\/(3\/(-4)). Suppose z*y = f*y - 20. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26387 is divided by 26366?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(5 + 5*sqrt(209)\/(sqrt(99)*-1)).\nAnswer: -120 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663662 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -0.3, -0.028, 5\/3348?\nAnswer: 5\/3348","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + ((sqrt(21) - 3*sqrt(21))\/sqrt(7) + (sqrt(18)\/sqrt(2))\/sqrt(3) + -5)**2).\nAnswer: 50*sqrt(3) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2780345 is divided by 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (162\/72)\/(36\/((-20736)\/(-18)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 13 + 4. Suppose 3*w + k = -w + 59, 0 = -3*w + 5*k + 50. What is the highest common factor of w and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313 divided by 1\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(-130)*2*(1 - 2). Solve 2\/5*s - 1\/5*s**3 + 0 + d*s**2 = 0 for s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -444895\/56 + 7943. Find the common denominator of f and (6\/(-32))\/((-372)\/(-1829)).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36129*b + 36129*b - 108385*b + 75*b**2 + 36127*b.\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6830 take away -3?\nAnswer: -6827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 7:44 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -z + 11, 45*y - 4*z = 43*y + 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-44)\/330)\/((-1)\/(-51)) and -52\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - (4 + -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28669 - -131862. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-132))\/(3\/(-4)). What is the third biggest value in v, -2\/13, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -6618 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.5 - 5.5. Which is the closest to i? (a) -3\/4 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121200 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 515 and 55.\nAnswer: 5665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 - 2 - (-347 + -4) is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -33. Let k(i) = i**3 - 10*i**2 + 2*i - 30. Let q be k(10). What is the smallest value in -2\/9, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 + 0*p**3 + 5*p**3 - p**3 - 2*p**2 - p to the form b + i*p**2 + k*p**3 + c*p and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 237*d**2 - 2722*d - 2719*d + 8159*d - 2715*d in the form k*d**2 + r + a*d and give k.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 2*a - 2*a**2)*(6*a**2 - 3*a**2 - a**2) + 1193*a**4 + 562*a**4 - 550*a**4 to the form w*a**3 + n*a + f*a**2 + d + s*a**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(-155)*2*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36333 - -24553. What is i rounded to the nearest 100?\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 198*p - 102 - 92.\nAnswer: 198*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 divided by -1?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqapqdnpqbpp. Give prob of picking 2 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233519*m**3*p**4 + 54*m**3*p**2 - 856*m**3*p + 8441*p wrt p.\nAnswer: -2802228*m**3*p**2 + 108*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100769.\nAnswer: 100769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00178 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249158763*k**4 + 12723*k**2 + 3593*k wrt k.\nAnswer: -5979810312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4\/11 - 8\/11*y - 7\/11*y**3 + 19\/11*y**2 = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 a when four letters picked without replacement from azkaaaaaak.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -29*z - 180 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -398, -398, -392, -380?\n\"Answer: 3*c**2 - 9*c - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25495622*q**3 + 164705*q?\nAnswer: 152973732*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -202 - 172. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130979 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-28 + -2)*(-6 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 0*u + 4*u)*(40*u + 8*u + 73*u)*(2*u**2 - 2*u**2 + 2*u**2) in the form c*u**4 + k*u + r + p*u**3 + n*u**2 and give c.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 569 + -576 + 24 + 2 + 0 + 0\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -4*g + 3*y + 6300, -3*y = 2*g - 3320. Calculate the greatest common divisor of g and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m - 13. What is the remainder when 24 is divided by d(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.177408 to three decimal places.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 7*a**2 + 5*a - 4. Is u(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8843.155 (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 2:46 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 417 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p - 3. Let l(z) = 13*z + 3. What is 5*l(a) + 4*m(a)?\nAnswer: 13*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 626840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133735, -534952, -1203647, -2139820?\nAnswer: -3343471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*p - 214 - 219 + 647 - 211 - p**3 + 2*p**2 in the form f + g*p**3 + m*p + l*p**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187509856.\nAnswer: 2, 13, 2854591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i + 8 = 0. Let y(v) = -5*v**3 - 3*v**2. Suppose 4*b - 36 = 4. Calculate the remainder when y(i) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(6*sqrt(10)\/sqrt(2)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (36 - (-628712)\/(-17407))\/(8\/52)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**3 - 16 - 6*d**2 - 3*d - 4*d + 10*d**3. Let y be z(7). Suppose 2*g = 2*i + 312, -i = -2*g + 4*g - y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -3*f - 2*c, -3*f - 3*c - 3 = 0. Let l be f\/3 + 33\/9. Let s be 2 + 11\/(-6) - 4\/24. Solve 7 = -g - 2*v - 0, -l*g + v + 8 = s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlxmmrmmrr. What is prob of sequence rr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.777 + 470.777. Let d = -469.9677 + u. Let i = 0.03 - d. What is i rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:44 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2699 times -0.5\nAnswer: -0.13495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -100497618 from -0.08.\nAnswer: 100497617.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16621760 divided by 4064.\nAnswer: -4090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1 + 1 - 3*o**2. Suppose -20*x - 3*x = -3174. Let w(g) = 411*g**2 - 142*g**2 - 138*g**2 - x*g**2. Give w(c(m)).\nAnswer: -63*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/1*(270\/(-1782) - 0).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1384 = 36*y - 3764. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226258, 905016, 2036278, 3620044, 5656314?\nAnswer: 8145088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 12. Let n be s(-7). Suppose -2*v - q - 3 = 0, 5*q = 2*q - 15. Calculate the highest common factor of n and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2 - 2) - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 + 289 = i + 4*o, 5*i - 2*o = 3220. Suppose -8*g - i = -12*g + 2*w, -178 = -g - 3*w. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -101. Let c = -1 + 7. Calculate the least common multiple of c and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104307.2 - 311172?\nAnswer: -415479.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 70 = -5*k, 6*k + 87*o - 32*o + 15 = 28*o + 28*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 65823.71 weeks?\nAnswer: 460765.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (9 + -15)) + -1 - (-6 + -9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urc when three letters picked without replacement from {u: 2, d: 2, a: 2, r: 1, c: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1247944 is divided by 124792?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-3))\/(2\/2))\/((-4396)\/11304)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 20 + -17 - (0 - (-2 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -7*o**3\/3 + 20*o**2 + 12*o - 48. Factor d(g).\nAnswer: -(g - 6)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*f - 1 - 90*f + 1010*f**2 + 42*f in the form j*f + z + p*f**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83907911*k**2 + 42326876?\nAnswer: 167815822*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3584 and 196624?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:58 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.52 and 135.\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -7. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - 1. Let o = 10 + f. Let u be -3 + (72\/38 - -1). Which is the closest to 0? (a) o (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.984 and -8.09764.\nAnswer: -10.08164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 22*b**2 + 40*b + 6. Let m(s) = -s**3 + 7*s**2 - 2*s - 2. Calculate the lowest common multiple of m(6) and d(-20).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5784 is divided by 5783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - (-2 - 1)) + 6. Suppose -2*k + 3*k = -f. Which is the second biggest value? (a) 0.2 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3495 is divided by 346.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbbrve. What is prob of picking 1 v and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2. Let t(j) be the second derivative of j**4\/6 - 7*j. Determine t(w(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i, 0 = -6*y + 5*y + 5*i - 983. Is -993 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3869744 is divided by 967420.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 + (51 - -61))\/(8\/(-9) + (-25)\/225)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 4.93?\nAnswer: 4.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 less than 875?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/144109467 and 23\/99.\nAnswer: 1585204137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 - -5*1. Let h(m) = m + 20. Let z be h(-10). Let y = z - t. Solve 0*q - y*q = -16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i. Let w(p) = 10*p. Suppose 9 = -5*o + 184. Suppose 0 = -13*r + 11 + 67. Suppose -r*z - o = -z. Calculate z*h(l) - 5*w(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 561652865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, -4, -10, -16, -2381 in increasing order.\nAnswer: -2381, -16, -10, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**4\/12 + a**3\/6 - 3*a + 3. Let c(w) be the first derivative of p(w). Find the second derivative of c(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11778\/273 - 44) + 85\/(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*j**3 + 891*j + 45*j**2 + 5832.\nAnswer: 3*(j + 18)**2*(j + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -3. Calculate the greatest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) 21 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 rounded to 0 decimal places?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5025?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5\/5 + 93*r**4 - 3057*r**3\/5 - 7521*r**2\/5 - 3996*r\/5 = 0. Calculate r.\nAnswer: -1, 0, 9, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 + y + 5. Let z be n(-5). Let f be (5 + -14)*(-16)\/6. Suppose z*l = -4*l + f. Calculate the remainder when 17 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115948725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.8. Let k be 44\/9 + ((-12)\/9 - 4)\/6. Which is the smallest value? (a) k (b) -2\/183 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6355171 is divided by 4338.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 66931 and 72?\nAnswer: 66859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (17\/272)\/((-7)\/(-3248)). Suppose 2*k + 100 = -4*b, -b + 5*k - 47 = -0. Let f = b + l. Solve f*n = -5 + 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 4 (c) -3\/2 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1525\/18 + 38771\/126. Let d = 397 - k. Find the common denominator of d and -59\/91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33926 - -33928. Solve -8 = 173*i - 177*i + 2*b, u*i + 2*b = 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-3 - (1 + -5)). Suppose -6*u + s*u = -8. Let z = -7 - -12. Sort z, u, -1.\nAnswer: -1, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 2*s**2 + 96 - 6*s.\nAnswer: -2*s**2 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.7 - 81. Let g = r + 26. What is the smallest value in g, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-5 + 22 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 1315*x - 25 - 40 - 35 in the form k + v*x and give v.\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 5*i - 3. Let u(q) = 4*q**2 + 6*q - 3. Let l(h) = 4*u(h) - 5*z(h). Let y be l(2). Solve y*r = -1 - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 106. Determine a(47).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - 3) + 22 + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 15*k**2 - 9*k + 18. What are the prime factors of n(16)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1161 and 1032?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -562.2 + -35.8. Let r = v - -598.0706. Round r to 3 dps.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*l**3 - 96 + 96)*(-1373 + 9*l - 1365 + 2733) as n*l**4 + s*l**3 + k*l + d*l**2 + x and give n.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -36. Let q = b + 27. Suppose q*n = 5*n + 270. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/9*(-9)\/(-6). Let f(x) be the second derivative of x**4\/12 - x**2 + 2*x. Determine f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113.59 + -163.59. Let i = 60.156 - 110.15. Let o = i - f. What is o rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -7*d + 42 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let s(g) = -30629*g**2. Calculate o(s(t)).\nAnswer: -30629*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73144999945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 25*z**2 + 19)*(-421 - 9 + 57) to n*z**2 + d*z + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 29, -203, 3, 1, -4 in ascending order.\nAnswer: -203, -4, 1, 3, 13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (0 - 6)*(-16)\/(-24) + 14.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1295028, -1295006, -1294984?\n\"Answer: 22*b - 1295050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 22 = 11*y - 6*y - 0*x, 0 = 4*x - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 202*z - 198*z - 4*v, v - 12 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361856\/815 >= 2899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1007 (b) -9 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -9, 1\/11, 24, 4, 1\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-86 + 1)*(-20)\/50 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 11*g**2 + 7*g)*(0 + 0 + 2*g**2) + (-4 - 1 + 4)*(0*g**4 - 3*g**4 - 4*g**4).\nAnswer: -15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -120, -178, -236, -294?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868*q + 112944 = -592*q + 374*q for q.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 1.1. Let j be (-1 + 3)*(-2)\/7. What is the closest to 1\/3 in j, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2823433516 to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2*3 + 0. Suppose -w - 15 = -4*l, l + 5 = -2*w + n*l. Let r be (-32)\/(-6) - 3\/9. Solve 15 = 4*h + 5*i, w*h - 24 = 4*i + r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.0726 milliseconds to nanoseconds.\nAnswer: 538072600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -4.15, 8, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 12, 0.3, -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 13 = -u + 2*u, 30221*u - 5*v + 17 - 48 = 30217*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -304 - -264105?\nAnswer: 263501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42580)\/42 - (-570)\/5985. Is h <= -1013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 38. Solve s = 3*v + v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + -1 + (1 + -10 - (19 + -27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 3 - 8 + 12 to the form y + j*h + f*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-16813)*-17)\/(1*-2)*57\/(-57)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 5*q - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.04 - -99. Which is the smallest value? (a) 1 (b) -0.3 (c) v (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5760866?\nAnswer: 2, 2880433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2*26\/12*3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -110. Suppose r - l + 5 = 0. Let f(d) be the third derivative of -d**4\/12 + d**3\/3 + 13*d**2. What is f(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463530.\nAnswer: 2, 3, 5, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206572\/2150 + -96 - (-760)\/(-125).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3360379777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96476851 to the power of 1\/2, to the nearest integer?\nAnswer: 9822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 29*r - 18. Let u be t(-20). Let a(l) = u - 162 - 116*l. Let g(s) = -2*s. What is a(g(m))?\nAnswer: 232*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.959 less than -0.01?\nAnswer: -4.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11888 * 1.7.\nAnswer: 20209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1018 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 4. Suppose b = 5*q + 135, -i = 3*q - 4*b - 0*b. Let c = -17 - q. Calculate the highest common factor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 4) to base 13\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1100 + 2bab6?\nAnswer: 2cbb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m\/(m*m**(-5))))\/(m\/m**(25\/3)))\/(m*m**20*m*m**(3\/5)\/m*m) assuming m is positive.\nAnswer: m**(-259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 345*o - 7379. Determine b(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/5 (b) -5 (c) -1\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3438264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 + -1172\/5. Is -2\/37 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + q + q)*(-2*q**2 - 5*q**2 - 5*q**2) + (-q**2 + 4*q**2 + 0*q**2)*(-q - q + 0*q) as s*q**3 + o + g*q + v*q**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -47\/7*t**7 + 0*t**5 - 137 + 0*t + 0*t**6 + 32\/3*t**3 + 0*t**4 + 0*t**2. What is the third derivative of u(m) wrt m?\nAnswer: -5640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/79364 and 107\/3200.\nAnswer: 63491200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - 105 + 7*a**2 + 208 - 103.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6016\/3*m + 2\/3*m**2 + 4524032\/3.\nAnswer: 2*(m + 1504)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*d - 5*v = 718*d + 3, -5*d + 6*v = -14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30202 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: What is -26 + -17 + 29 + 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29773 greater than or equal to -29772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(425) + sqrt(1377) + 2.\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:10 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24)*(-168)\/(-21))\/(-1*(-4)\/(-213))?\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 387339 - 3.872\nAnswer: 387335.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3867048\/5 or 773411?\nAnswer: 3867048\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187461 and 208290.\nAnswer: 1874610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/210*5)\/((-4)\/28)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:20 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1030106 and 4928?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/4 + 67\/12. What is the biggest value in 5, k, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-63)\/18)\/(15\/(-240)*(-12)\/(-39))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/567*-3)\/(1\/(-3)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 76\/7*k**3 - 12\/7*k**4 + 20\/7*k - 12*k**2 = 0. What is k?\nAnswer: 0, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*(r*(r\/(r\/(r\/(r*r**(2\/3)))*r))\/r)\/r*r**(7\/3) assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 385\nAnswer: 2\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 374085367 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.6 (b) -1\/4 (c) 5 (d) 0.1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - 7 - (0 + 57 + 367 + -381)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 692 - 282 = -51*s. What is the smallest common multiple of 126\/15 - 2\/5 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*s + 3 - 3 - 171*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2789 or 1?\nAnswer: -1\/2789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009769629 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03859 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1109 divided by -169705\nAnswer: 1109\/169705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-154)\/(-21) - (-14)\/6. Suppose 6*u - l*u + 4 = 0. Is (2 - (u + 1)) + 12624\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u + 0*u**3 + 1\/8*u**4 + 0 + u**2. Let y(j) = 2 - 2 + 3*j**2 - 5*j**2. What is w(y(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrtxt. What is prob of picking 1 t, 1 r, and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/130 - 2\/(-10). Suppose 14*q + 706 = 4*m + 17*q, x = -m + q + 180. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2068 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 329869520 to the nearest 1000000.\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:14 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 19 - 18 - (-2 + -5 + 3 + 5)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10383 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: Collect the terms in 159*d - 112*d - 46*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 392615 = -16*w + z, -w + 5*z + 98168 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w**(-4\/7))**39 assuming w is positive.\nAnswer: w**(-650\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196000152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000187 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + s - 18. Let b be m(-9). Suppose x + 2*g = b, -3*x + g + 132 = -2*x. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 2 - (-6 + 4). Find the first derivative of 2349 + 41*f**y - 2314 + 2*f**3 wrt f.\nAnswer: 129*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 3*s - 5*y, 27 = s - y + 8. Suppose z = 6*z - s. Let q be (-2 - -8)*z\/9. Solve -2*t + 3*t - 3*r = 10, -3*r - 8 = -q*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 2*b - 10, 0 = 3*k + 3*b + 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376609884*b**4 + 6*b**2 - 10468*b - 2.\nAnswer: -9038637216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000711 rounded to six decimal places?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4573.3 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/3)*b)\/b)\/(b\/(b**(-2\/73)*b)) assuming b is positive.\nAnswer: b**(359\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-156)\/38 - (1290\/(-30) + 48)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 14*3\/6. Solve -a + 1 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2 + 7\/2). Find the third derivative of 4*d**3 + 7*d**t - 40*d**2 + 14*d**3 + 11*d**3 wrt d.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1651 - 1174. Let d = t + -480.03. Let z = d + 0.03. Which is the closest to -1? (a) 2\/9 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4*x + 2*n**2*x**2 + 2*n**2*x - 237*n**2 - 329076*n + 3*x**2 wrt n.\nAnswer: 24*n**2*x + 4*x**2 + 4*x - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001089 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.1046 and -30787.\nAnswer: -30770.8954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 205, 208, 209, 208, 205, 200, 193?\n\"Answer: -p**2 + 6*p + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 55*u - 205. Let f be n(-49). Let w be f\/(-14) + 300\/350. What is the highest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3257 (base 9) to base 4.\nAnswer: -211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/((2*sqrt(66))\/sqrt(11)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.8746 litres in millilitres?\nAnswer: 749874.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -2*o. Let q = 4 - o. Suppose -4*v = x + 16, -x - 1 = -5*x - q*v. Let b(m) = m - 2. What is b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*b + 30 = b, 3*b + 5 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 6. Let p(z) = 3. Let k(i) = 3*d(i) - 6*p(i). What is k(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -o. Let d = 1 + o. Let a(h) = 7*h**2 - 8*h + 15. Let b(c) = -3*c**2 + 4*c - 5. Let m(v) = 2*a(v) + 5*b(v). Determine m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6658*c**2 + 11217*c**2 + 30421*c**2 - 34069*c + 34069*c.\nAnswer: 48296*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Suppose 2*d - 24 = -t*v, -2*d + 7*v - 3*v - 16 = 0. What is the second derivative of k**2 + k - 2*k**d + k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1035 + 1756. Let r = f + -513. Suppose 0 = 5*l - r - 422. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 16*n - 25. Let s be h(13). Suppose 0 = -4*b - 0*t + 3*t, 5*t - s = 2*b. Let r = -49 + 489\/10. What is the smallest value in 1\/3, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14648, -14585, -14500, -14387, -14240?\nAnswer: -14053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -131, -107, -83?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/7 - (-2)\/(-3). Which is the third biggest value? (a) -1 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7058?\nAnswer: 2, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*h = -2*x + 12, -11 = -4*x - h. Let p(j) be the third derivative of -j**6\/120 - j**4\/24 + j**3\/6 - 14*j**2. Let w be p(0). Solve x*v - w = 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 6*j**3 - 23*j**2 + 2*j - 4*j**3 + 28*j**2 + 5. Let l be a(5). Solve -l = 5*n + 2*o, -3*n - 3*o - 18 = -0*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 161*z**2 + 379*z - 228. Calculate w(-78).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x - 1. Let w(g) = -7800000*g**2 + 2*g - 3. Let t(q) = -k(q) + w(q). Let p be t(-2). Round p to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94416 divided by -80?\nAnswer: -5901\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.3 + -0.3. Let t = 7.972 - o. Round t to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 2*y - 2*y. Let m(i) = 3*i. Let c(s) = 6*m(s) - 5*r(s). Let g(j) = 3*j. Calculate c(g(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1.2.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5924*r - 61552 + 60719 = -227209 - 229772 for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.5, -2, 0.07, 3296, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -48d8b (base 16) to base 15\nAnswer: -5d61e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -13 - (0 - -1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14\/3, 2\/5, 113, -3, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.25 - 9.25. Put -0.2, 1\/8, 93, p in descending order.\nAnswer: 93, 1\/8, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13361 = 102*j + 21215 for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 56*l - 4201. What is u(-47)?\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 2*a + 16, 16*a - 16 = 20*a + 4*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599?\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**3 - 390*q**2 - 7281*q - 31752 = 0?\nAnswer: -9, -8, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -0.0808?\nAnswer: 6.0808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7638, -7590, -7486, -7308, -7038, -6658?\n\"Answer: 3*j**3 + 10*j**2 - 3*j - 7648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30371777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.2 - 2.8. Let q = y - -44. Let n(h) = h**3 - 9*h**2 - 2. Let r be n(9). Which is the closest to -1\/3? (a) r (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.56207 * 0.9.\nAnswer: -7.705863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3897*z + 16*z**3 + 3 - 3882*z + 7779*z.\nAnswer: 16*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3242736, -3242740, -3242744?\n\"Answer: -4*q - 3242732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(y**4 + 0*y**4 - 2*y**4) + 2*y**4 - 6*y + 0*y + 0*y.\nAnswer: y**4 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/10 + 159*p**2. Let j(a) = 3*a**2 - 8*a. Give j(i(f)).\nAnswer: 108*f**4 + 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*k - 3168 = 6*k, -3180 = -4*v - 4*k. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.27 - 3.88. What is b rounded to 1 decimal place?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 4552309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 821*f - 1173 + 738 = 13603 + 3203. Let g be 0\/(-2 - -3)*1. Let o(r) = r**2 - r + 30. What is the smallest common multiple of o(g) and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18484240 to the nearest integer?\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -331977.243 to the nearest 100.\nAnswer: -332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 2*z + 1. Let x be w(4). Suppose -21*b + x*b = 196. Find the common denominator of b\/14*6\/28 and 53\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 10*w - 429. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r - 17. What is the remainder when 2 is divided by ((-10)\/4)\/r*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s - s - 4*s - 2*s**3 to the form q + g*s + r*s**3 + x*s**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 18*v**2 + 19*v**2.\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = 17. Let v(n) = n**2 + n**2 - 2 - n - 3*n**2 + 4 + n**h. What is the lowest common multiple of v(0) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 26 + 6 = 0, 2*l - 71 = -c. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 5. Let t(k) = 6. Let q(d) = 5*t(d) - 6*u(d). Let n(y) = -y. Determine q(n(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16276 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 2610?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 1 - 2 - w + 2*w + w + 0*w - w + 3*w + (2 + 0 - 4)*(-3 + 3 - w) - 3 + 3 - 2*w + 16 - 16 + 19*w)*(2*w - 2*w + w).\nAnswer: 21*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = -3*b - 8, 0 = -3*d + 2*b + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**3 - 12*m**3 - 8*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, l: 6, b: 1, r: 7}. What is prob of sequence ullb?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, c: 1, w: 5, l: 1}. Give prob of sequence wc.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 15*d + 340. Give m(-14).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/3 - 34*p**2 - 450*p - 1250\/3 = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16*p**3 + 3*p**2 + 5*p + 9. List the prime factors of r(-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 11. Suppose 3*c + a - 11 + 35 = 0, -a = -4*c - 32. Let t be y(c). Suppose -18 = -t*r - 6. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 bigger than -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 6 - 18. Suppose 3*y - d - 3 = 0. Let j(k) = 5*k + 2. List the prime factors of j(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776330146*y + 3*y**3 + 776330146*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0117 + 0.01169607. Round l to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 144 = 45*f. Let a(d) = d**3 + 6*d**2 + 3*d - 3. What is the remainder when a(-4) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (45 - (5 + 21)) - 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.51 - -1.09. Which is smaller: v or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0272 + 0.0528. What is the nearest to -2\/5 in 4\/7, m, 3, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2888 = -122*k + 2320 + 1136 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-197)\/5 + 4\/10. Let z = 42 + b. Solve -k + z = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79938, 79910, 79868, 79806, 79718, 79598?\nAnswer: 79440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 - 201 = -2*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.851 - 1.149. Sort -0.4, k, -0.12, -0.5 in ascending order.\nAnswer: k, -0.5, -0.4, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 0, -5*u - 4*d = -u - 40. Let s be (-17)\/(-4) + (-7)\/28. Solve -s*a + 3 = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.7 - -9.7. Let r = -7.2 + t. Which is the third biggest value? (a) -5 (b) 4\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3213 and 1805271\/562 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998 + 271 = 369*y - 12535 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 53*f + 1. Let g(j) = 54*j + 2. Determine 2*g(v) - 3*o(v).\nAnswer: -51*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 2*j + 2*j)*(5*j - 3*j - 4*j) + 96*j**2 + 29*j**2 - 11*j**2 + 1 to u + c*j + n*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4787.728ug?\nAnswer: 4787728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-3) - (-7 - -7). Suppose 0 = 17*s - p*s - 5. What is the third derivative of s + 12*v**2 - 1 - 4*v**2 - 9*v**6 wrt v?\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 10:23 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 2*t**3 + 19*t**3 + 2*t**3.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2 + 2 - 4 + x. Let j(k) = -5*k**2 + 7*k - 7. Let i(m) = 2*m**2 - 3*m + 3. Let c(l) = -14*i(l) - 6*j(l). Determine y(c(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 42 = -3*z, -3*y = 2*z - 0*z - 25. Solve -5*s + 2*v + 15 = v, 3*s - y = -2*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1574, -5, 12, -20 in increasing order.\nAnswer: -20, -5, 12, 1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 4*x**3 + 0*x**3)*(-x + 0*x - x) + 17*x**3 - 8*x**4 - 17*x**3.\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**4*l**3 - 42*h**3 - 625*h**2*l**2 + 6*l**3 wrt h?\nAnswer: -96*h*l**3 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dte when three letters picked without replacement from {t: 3, e: 2, d: 2, k: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 7, a: 1}. Give prob of picking 1 n, 1 b, and 1 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2137*p. Let c(j) = 884*j**2. Determine c(o(i)).\nAnswer: 4037023796*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4*(-2)\/(-108).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216\/7 + 195\/7*d**3 + 564\/7*d - 726\/7*d**2.\nAnswer: 3*(d - 2)**2*(65*d + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by -48330\nAnswer: -98\/8055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 516*o + 413. Let j(p) = 5*p - 3. Let k(n) = -2*j(n) + y(n). What is the derivative of k(f) wrt f?\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -15*j**2 - 15*j + 23. Let m(f) = f - 7*f**2 + 12 - 9*f + 0*f. Let r(p) = 13*m(p) - 6*s(p). List the prime factors of r(-13).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*j = 15, -2*j = -j. Let u = 6 - w. Suppose -v + u = -15. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3. Calculate p(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 6. Let l(o) = 2*o - 7. Let x(z) = -2*l(z) - 3*m(z). Let c be x(-4). Suppose 2*n = 4, 2 = 5*r - 4*n - c. Solve -r*t + 2 = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-399)\/1197)\/((-1)\/(-129)) - ((19 - 5) + -2).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156408 and 2711072.\nAnswer: 8133216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/8 + 26*y**3\/3 - 96*y**2 + 2. Calculate d(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 923*o - 4081. Determine a(-312).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (33\/(-5) + 3). Suppose 0 = 2*d + 4*c - 4, 5*d = 6*d - 4*c + 16. Let p = 5 + d. Is p less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -0.2, -100\/9, 41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 133, 112, 65, -20, -155, -352, -623?\n\"Answer: -2*g**3 - g**2 - 4*g + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4346734, -8693518, -13040302, -17387086, -21733870?\nAnswer: -26080654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scswssssssssssssc. Give prob of picking 2 s and 2 c.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 - 15 - (-5 + 1). Let g be q\/10*4\/(-5). Put -5, -10, g in descending order.\nAnswer: g, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47716620 divided by 133660?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)*(15\/18 - 1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153 (base 9) in base 11?\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8832, -4, -1.\nAnswer: -8832, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*(-30)\/(-4). Suppose 3*s + w + 19 - 1 = 0, 0 = -4*s + 4*w - 24. Let m be 2\/s - 60\/36. Put -1, m, d in ascending order.\nAnswer: m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 2*y**2 + y**2 + (-2*y + 0*y + 4*y)*(-3*y + y + 0*y) + 0*y**2 - 3*y**2 + 4*y**2 - 82*y**2 - 16*y**2 + 43*y**2 as h + i*y**2 + x*y and give i.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 5, -17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*b*f**2*p + 3*b*p**2 - 53500*b*p - f**2*p - 39*f**2 + 4*f*p**2 - f*p + 105 wrt b.\nAnswer: -6*f**2*p + 3*p**2 - 53500*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6\/3 - 117*o**5 - 3*o**3 - 5*o**2 + 1502. Find the third derivative of y(u) wrt u.\nAnswer: -120*u**2 - 14040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 5*h**2 + 5*h + 10. Is g(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1140 and 4332.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12445 divided by 1\nAnswer: -12445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154477 is divided by 2429?\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 21 = 3. Let j = 12 + u. Solve 2 = -7*c + j*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1404224?\nAnswer: 1404230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31818314 + 0.\nAnswer: 31818314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2445.9909 months to centuries.\nAnswer: 2.03832575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47520015 = 47520015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 450 - 362. What is the highest common factor of m and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 403, 890, 1563, 2416, 3443, 4638, 5995?\nAnswer: 7508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 48 = -4*m, -893*b - 3*m + 44 = -895*b - 5*m for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -53) + (-3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = -2. Let w(r) = -2*r + 1. Determine w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/702*-6 - 46\/(-90)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.022 - -0.022. Let j = t - -26.99933. What is j rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12606\/1386 - (-2)\/(2\/(-9))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22827 divided by 21\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-2 + (-6 - -10)). Let d(b) = 2*b**2 - 5 + b - 3*b + 4*b**2. Let n(l) = -4*l**2 + l + 3. Determine o*d(v) + 8*n(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 3, r: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10525\/3 + 3509. Which is the smallest value? (a) -1 (b) -1.62 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4813 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9.03. Let k = -1.97 + l. Which is the nearest to k? (a) 2 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**3 - q**3 - 2*q - q**4 - q**3 - 5*q**2 - 2*q**3.\nAnswer: -q*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69.6 + -223.4. Let p = -292.99 - s. Which is the nearest to -1? (a) p (b) -3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-5) - ((-2)\/10)\/1. Factor -7*q - 4*q + 4*q**2 - 5*q + 12 + 0*q**z.\nAnswer: 4*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -64*u**3 - 12*u + 6. Let p(g) = 63*g**3 + 8*g - 4. Give 3*p(l) + 2*z(l).\nAnswer: 61*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, 0.1, -6.39, 2\/11 in descending order.\nAnswer: 1, 2\/11, 0.1, -6.39, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a8 + -ac?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1740)\/84 - ((-2035)\/(-385) - (-1 - (-1 - 5))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 50*q - 2 - 48*q + 19*q.\nAnswer: 21*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 76611 times -0.5\nAnswer: -38305.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a kilometer in meters?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6 + 0 - z**3 - 2*z + 2 + 7*z**3. Let b be g(3). What is the highest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + 134. Suppose 100148 - 112460 = -81*v. Calculate the greatest common factor of d and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13653 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-117039984)\/(-88) - (-2)\/11. Round k to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from wdytidy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104488011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(4 + (-3*sqrt(80)*2 + -1 + sqrt(80) + -1 - (-4 + sqrt(80) + 1 + -2))))**2.\nAnswer: -8400*sqrt(5) + 73225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2*-5 + (sqrt(104) - -2*sqrt(104)*-1))\/((-5*(sqrt(72) + 2*sqrt(72)))\/sqrt(9)))**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:25 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -966, -3610, -8028, -14226, -22210, -31986?\n\"Answer: -b**3 - 881*b**2 + 6*b - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -201, -244, -287, -330?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*a - 7*a + 19*a)*(4*a**3 + a**3 - a**3).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1131 - 280 - 1907 - 834 + y - 1669 in the form i + w*y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -426 - -444. What is the smallest common multiple of 30 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48970573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -23. Let u = 2 + o. Let y be -3*(8\/(-6))\/2. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -5*r. Let y = 2681 + -18899\/7. Let l = 134\/7 + y. Which is the nearest to l? (a) 0.5 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19467 - 660199 - 995634 = -13941*i - 130738 for i.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/36 and -115\/2124.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31603968.9 minutes to weeks.\nAnswer: 3135.314375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, 393870, 1\/3, 1\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.221 times 3.59?\nAnswer: 0.79339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 + 11 + 5*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23036 + -23035.9. What is the fourth biggest value in i, 1\/4, 0.042, 29?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/3, -690, 0.1, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, -2\/3, -3, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence why when three letters picked without replacement from {y: 1, h: 9, w: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 24, 3\/10, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 1\/2, 101, -4 in descending order.\nAnswer: 101, 1\/2, 2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44614571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336569606555563 - -336569582302070.1900133. Let n = 24253491 + g. Let u = -1.81 - n. What is u rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9081, 9975, 10869, 11763, 12657, 13551?\n\"Answer: 894*q + 8187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10370664 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(683\/194655)*1?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5763115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 645 * 14.9\nAnswer: 9610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 57 = 3*u, 5*u + 45 = 2*p - 71. Put -3, u, 0 in increasing order.\nAnswer: u, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(-58*p - 338*p - 123*p) in the form r + u*p and give u.\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 267, 263, 259?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -99*l - 200. What is z(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(8 - (-11 - 1)\/4). Let h = c - 60. What is the remainder when 694\/h + (-60)\/(-45) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 + 2*b**3)*(5 + 0 - 4) - 3*b**3 - 97*b + 3*b**2 + 97*b.\nAnswer: -b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11975, 23920, 35857, 47780, 59683, 71560?\nAnswer: 83405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 6, 66316, 37 in decreasing order.\nAnswer: 66316, 37, 6, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q. List the prime factors of 14 - (2 - q\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346440 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -97 (b) 17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:35 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + (8 - 0) + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4520155469?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-168) - (-325)\/105. Let c(t) = 95*t**2 - 10*t + 34. List the prime factors of c(d).\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - -0.59. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*d - 10 = 0, 12*w + 28*d = 55*d - 26*d - 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1430*q**2 + 4*q - 14005 wrt q.\nAnswer: 2860*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 721842 and 1881.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -1.2. Let h = 0.24 + 14.76. Let x = h + -20. Which is the closest to u? (a) x (b) -7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-197)\/(-2700)*-3 + 4\/18. Let u(t) be the third derivative of 0*t - 1\/30*t**3 + w*t**5 + 1\/600*t**6 + 0 - 2*t**2 - 1\/120*t**4. Factor u(p).\nAnswer: (p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeemeeeemeeeme. What is prob of sequence eee?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2\/2 - 786*b + 102966 = 0.\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2942 + 71 = -131*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*t**2 + 31*t + 3 wrt t.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*87\/17226)\/(1\/((-11)\/(-15))).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 58 = 11*m - 9*m, 5*z - 43 = -2*m. Solve -2*j - 37 + m = -4*g, -2*g + 3*j = -22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.38 + 0.62. Let g = 1.002 + -1.002. Which is the nearest to -0.02? (a) d (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 + 6*z**2 + z - 7. Let j(q) = -5*q**3 - 6*q**2 - q + 8. Let y(u) = 5*j(u) + 6*v(u). Let p be y(6). Suppose p*r - 464 = 28. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -756 + 232.5. Let m = -523.503867 - y. What is m rounded to 4 dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -76050?\nAnswer: -1\/15210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 - 77 - 81) + 188.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 58*f**2 + 53*f - 33. Let r(c) = -c**3 - 56*c**2 - 52*c + 31. Let x(p) = -2*d(p) - 3*r(p). Is x(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486)\/sqrt(9))\/(sqrt(22)\/(sqrt(11)*-1))*-2.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 (base 7) in base 11?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**3 + 0*w**3 - 2*w**3)*(-1 + 2 + w**2 - 6).\nAnswer: -12*w**5 + 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 42, 77, 108, 123, 110?\n\"Answer: -2*t**3 + 16*t**2 - 7*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7528 - -12402. What are the prime factors of c?\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98836 plus 0.35?\nAnswer: 98836.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*((-136)\/(-16))\/(-17)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhu when three letters picked without replacement from hhuhuuu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 1. Let u be 3\/(-9) + 38\/6. Let b = -7 + u. Let n be o(b). Is n at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -22 - (-3 + 47 - 18).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.44, 0.023, -3\/5?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1690646*a**2 + 48*a - 295424?\nAnswer: 3381292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (4 - 1 - 1 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24719.16213 rounded to the nearest one hundred?\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let z(l) = 1017*l. Calculate z(n(i)).\nAnswer: 2034*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 5*z - 2. Let h be l(-3). Let b = h + 8. Let j(y) = -11*y + 25. Let d(g) = 6*g - 14. Let u(f) = -7*d(f) - 4*j(f). What is u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4 + 1 - 3 - 1. Let m(s) = -9 - 2*s + s + 15. Let c(t) = -m(t) - y(t). Calculate c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -186, -374, -564, -756?\n\"Answer: -s**2 - 185*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 3, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 106.02037972?\nAnswer: 101.02037972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9.359151 + -0.1\nAnswer: -9.459151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10997?\nAnswer: 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9.4*-18\nAnswer: -169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3270 = 852. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -0.01. Let j = -4.9729 - 0.0171. Let i = j + d. Sort 0.1, i, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k\/(k**(2\/5)*k))\/k)\/k))\/(k\/k**4) assuming k is positive.\nAnswer: k**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4783048 is divided by 405.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in -2, -5, 0.2, 3\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = -3*b + 130, 3*g - g - 233 = 580*b - 585*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + -6 + 0 + 2 + -8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 7*y**2 + y + 5. Does 7 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2. Let v(b) be the second derivative of 2*b**3\/3 + 7*b. What is v(r(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 22. Let o be i(11). Let a be (o\/2)\/((-2)\/76). Suppose 388 + a = 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/7))**(-3\/44)\/(c**(2\/7)\/c)**(-50))\/((c**(-1))**12*(c**(-2\/7)*c)\/c**(-1\/4)) assuming c is positive.\nAnswer: c**(-1091\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10410 != -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1587 + 1583. Let l(i) = -3*i - 2. What is l(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.5 less than -39?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 52*l**2 - 679*l - 5588. Calculate j(-38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4*(-2)\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 16, y: 4}. Give prob of sequence yy.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 - 5\/2*g + 1\/2*g**3 + 3 = 0 for g.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 29165563*f + 850630065106969.\nAnswer: (f - 58331126)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 - -264. Let o = -120 + d. Suppose 31 = -2*x + 3*x - 2*l, -5*l - 127 = -4*x. What is the remainder when x is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 729+5\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 98*d**2 + 40*d + 32. Let m be r(86). What is m rounded to the nearest one hundred?\nAnswer: 92200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(432)*1 + sqrt(432))**2 + (5*sqrt(48) + -2)**2.\nAnswer: -320*sqrt(3) + 2957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/442 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/7)\/(57\/114)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 4:29 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/w**(-1\/8))\/((w*w\/(w*w**(-3)))\/w**(-2)))**(-3\/7) assuming w is positive.\nAnswer: w**(117\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -30. Let j be m + 15 + (-3 - -3). Suppose -5*r + 5 = j. Put -4, r, -3 in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/10390 and -9\/10366?\nAnswer: 53851370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25301322 - 32?\nAnswer: -25301354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.5 + 820.\nAnswer: 809.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 10*a + 2. Let d be z(8). Let p = -10 - d. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.068761762 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)*y)\/(y\/(y\/(y**(7\/3)*y))))\/(y**(-3\/10))**23 assuming y is positive.\nAnswer: y**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25263638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19837050 or 19837047?\nAnswer: 19837047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 7.7, 2\/13 in increasing order.\nAnswer: 2\/13, 7.7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -34 + (-5 - -53 - 8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(4495\/589))\/(-1*(-1)\/10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**3\/3 - m. Let z(a) be the second derivative of 0*a**2 + 213*a + 0 - 1\/3*a**3. Give o(z(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 349\/64 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 901\/476 + (4 - (-87)\/(-21))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 57*n**2 + 30*n - 20. Calculate d(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18)\/(212\/53).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136 - 31 - 84) + 2 + -122.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34517 is divided by 426?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35314 = 410*o - 409*o - 3*y, -4*o - y + 141217 = 0. Is o a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -518 not equal to -1823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1152293593 and 3531?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -92*r - 94*r + 272*r - 85*r. Let x(s) = -8*s**2 + 38*s. What is i(x(h))?\nAnswer: -8*h**2 + 38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p - 21. Calculate q(6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -769152, -769055, -768958, -768861, -768764, -768667?\n\"Answer: 97*g - 769249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 5 = -5*w. Let d(f) = 934*f + 7473. Let u be d(-8). Let z(s) = 4*s - 1. Let o be z(-1). Sort o, u, w, -2 in descending order.\nAnswer: u, -2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4487989003?\nAnswer: 4487989003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000001100000111011 - 1110000?\nAnswer: -1000000001100010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 16. Determine y(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*o**2*s**2 + 60*l**3*o*s - 2*l*s**2 - 56*o**2*s**2 wrt o?\nAnswer: -2*l**3*s**2 - 112*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1441*h = 1437*h - 110, 5*x - 3*h = 105. Let p be (2\/5)\/(3\/15). Let w = p + 10. What is the smallest common multiple of w and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 197, -16491 in decreasing order.\nAnswer: 197, -7, -16491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 4*o + 4. Let v be i(4). Let r = -3 + 4. Let k be -2 + v + -2 - r. Which is greater: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -625 - -653. Calculate the remainder when 58 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -159\/5. Put -3\/2, g, -4, 1 in decreasing order.\nAnswer: 1, g, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2060, -8322, -18792, -33470?\n\"Answer: -2104*z**2 + 50*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1029)\/(-294))\/(21\/(-3)))\/((-2)\/54).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 8. Let z be x(-4). Let j = 65.27 - 65. Let f = j + -0.07. What is the third smallest value in 3, f, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 32. Suppose 0 = q + 2*q + 5*w + 153, -2*w - 162 = 3*q. Let l be (108\/(-7))\/(3\/q). What is the highest common divisor of n and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4\/9 (b) -584 (c) -1 (d) -3 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150 = 5*w - 3*j - 1129, 5*w = -4*j - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(1\/52)*(l**5)**14)**(-30) assuming l is positive.\nAnswer: l**(-54605\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8448 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27845970 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-11 - (-13 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-8)\/(-6))*5421*(-958)\/(-56043)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 23, 16, 27, 68, 151, 288, 491?\n\"Answer: 2*r**3 - 9*r**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 94\/147 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 25*f**2 + 49*f + 5. Determine h(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 2*k**5 - 36 + 38 + 0*k**5 + 2*k**5 - 4*k**5 + k - k - k**5 + (-3*k**2 - 2*k**2 + 3*k**2)*(-k**3 - 3*k**2 + 3*k**2).\nAnswer: k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)*r*r)\/(r*r**(-2)))**14 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-4))\/(1\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 17*n + 3*s + 34 = -2*s, 5*n - 5*s - 20 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2568\/60)\/((-4)\/(-10)). Is n\/2 - (-11)\/22 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 14 + 10*b**4 + 4*b**3 - 11 + 0*b - 1 to the form q*b**4 + o*b**2 + w*b + x + y*b**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -18*c**3 + 8*c**2 + 5*c + 4. Let x(a) = 19*a**3 - 9*a**2 - 6*a - 2. Determine 7*p(q) + 6*x(q).\nAnswer: -12*q**3 + 2*q**2 - q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/12 + 915\/366. Solve 4*t**2 - 4\/3*t - 8\/3 - r*t**4 + 4\/3*t**3 = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79925*d*o**2 + d - 2*o**3 - o**2 - 72472*o wrt o?\nAnswer: 159850*d - 12*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -2, 455, 36, 373 in decreasing order.\nAnswer: 455, 373, 36, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 187. What is q(-41)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 406 + -402. What is the nearest to 2\/5 in 4\/5, x, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u**2 - 3*u**2 + 2*u**2. Let f(r) = -24*r**2 + 5*r + 5. Let m(h) = 20*h**2 - 4*h - 4. Let w(y) = 4*f(y) + 5*m(y). Give w(c(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:20 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196802?\nAnswer: 2, 3, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2850961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - 1) + 72 + -77 + 3 + 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135162 and 10152.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -509731000 rounded to the nearest one hundred thousand?\nAnswer: -509700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3301013223 (base 4) to base 10\nAnswer: -987627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = -g, -3*m + 2*g - 10 = m. Suppose m = -0*d + d. Which is smaller: d or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23357813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 938016 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2 + 32*b + 60 = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbebeeeebblebeeele. Give prob of sequence blb.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29348 is divided by 1723.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2229, -4440, -6641, -8826, -10989, -13124, -15225, -17286?\n\"Answer: f**3 - f**2 - 2215*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10081839 - 20164161 + 13*b**2 + 10082322.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.4 - -36. Let f = 8 - c. Let l = -0.05 + 3.05. Put 2, l, f in ascending order.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15251*n**3 + 14*n**2 + 140*n - 13*n**2 + 15248*n**3 - 2 + (1 - 1 - 1)*(2*n**3 + n**3 - 4*n**3) to the form z*n**2 + y + d*n + q*n**3 and give d.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + 9 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 - g**2 + 4*g**2 + (-1 + 1 - 2*g)*(5*g + 18*g - 32*g).\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -234601176*d - 373459753?\nAnswer: -234601176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let u be l\/(-12)*148\/(-14). Let d = u - 3\/7. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 11. Suppose 16 = -3*w - 5. Let n(u) = 5*u + 10. Let v(x) = w*n(x) + 6*i(x). Suppose -o - 2*p = -2, 4*o - 18 = 3*p - p. What is v(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6420 divided by 30.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 11*g**2 - 8*g - 2. Let t be f(10). Let c = 5 - 2. Is 1*c*570\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/35*1)\/((-5)\/(-7)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1351657 and 39580?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/240 - 3*p**5\/40 - 5*p**4\/8 - 5*p**2. Let s(t) be the second derivative of o(t). Determine s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (299\/3)\/((-2)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i - 71. Let q be l(-14). Solve 3*p = -2 - q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*j**4 + 155 - 156 - 14*j**4 + (2 + 2*j**2 - 2)*(2*j**2 - 5 + 5) in the form a*j**4 + w + n*j**3 + u*j**2 + x*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -208*c - 37860. Let p be j(-182). Suppose t = -3*m + 38, -5*t - 17 = -5*m + 53. Put m, 4, -3, p in decreasing order.\nAnswer: m, 4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83114819 at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -5*t**3\/6 - t**2\/2 - t. List the prime factors of d(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 19336*l + 270895. Determine n(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35987*-2\nAnswer: -71974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*(-5)\/((-135)\/12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -6. Let m be (2\/(-5))\/(1\/15). What is the units digit of ((-6)\/m)\/((-1)\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11754?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 0, -4, 11 in increasing order.\nAnswer: -9, -4, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - -0.6. Let n = k + -2. Let o = 3\/28 - 99\/140. Which is the second biggest value? (a) n (b) o (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 463.5*4.227\nAnswer: 1959.2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 346342.6 centuries in months?\nAnswer: 415611120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2601638772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, z: 1, w: 3, j: 1, d: 1, g: 2}. What is prob of sequence wjg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 5*j**2 - 6*j + 3. Suppose 3*q + q + 2*h = 28, 4*q - 18 = 3*h. What is the units digit of g(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -25*i**3 + 7*i**2 - 8*i + 2. Calculate x(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 322\/(-253)*(-2 - -13) - -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (75\/12 - 0)*7128\/27 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658 and 4888.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*-4)\/(sqrt(32)*-1)*3.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.48 - 0.4742. What is y rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1462 - 1213. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.1 + -48. Let o = v + 2. Which is the nearest to o? (a) 4 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4662*g*n**2 - 135*g*n + g - 20536*n**2 + 4378*n - 1 wrt n.\nAnswer: 9324*g - 41072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 284*t**2 - t**3 - t**4 + 2*t**3 + t**4 - 1203*t**6 + 1213*t**6 wrt t.\nAnswer: 1200*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*(r\/(r**(1\/5)*r))\/r)\/r))\/(r\/r**(-7)))\/(r**(-3\/7)*r*r**(-1\/6))*(((r**(1\/9)\/r)\/r)\/r**4)\/(r**(-6)*r**3\/r) assuming r is positive.\nAnswer: r**(-5099\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 22 = 3. What is the second derivative of 3*n - 12*n**5 + k*n - 9*n wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - i - 4*i + i - 4. Let l(n) = -n**2 + 16*n + 41. Let r be l(18). Let v(t) be the first derivative of t**2\/2 + 2*t - 1. Give r*v(c) + 3*q(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 2. Let j be w(1). Let x = 8 - 3. Sort j, x, -3.\nAnswer: -3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1231420 and 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 10 = 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 + p + 2. Let h(q) = -75*q**2 - 3*q + 41. Let b(z) = -12*a(z) - 4*h(z). What is the first derivative of b(l) wrt l?\nAnswer: 480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5717028746 to the power of 1\/2, to the nearest integer?\nAnswer: 75611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (144 - 157) + 10 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w**2 - 8*w + 20. Let r be u(-6). Suppose 5*x + 235 = -5*c, c + 4*c + 184 = -4*x. Put 0, x, r, 3 in descending order.\nAnswer: 3, 0, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*-1 - (-26 + 19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.712392 kilograms to milligrams.\nAnswer: 712392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*z + 1931, 15*y + 3872 = 17*y + 2*z. List the prime factors of y.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*h - h. Suppose 0 = -5*o - 4*a + 639, 377 = h*o - 0*a + 4*a. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1060?\nAnswer: -3\/1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.8227m to nanometers.\nAnswer: 970822700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 12*a = 3*k + 36, -k = 7. Let w(h) be the first derivative of -6*h**2 - 4\/5*h**5 - 4\/3*h**a + 3*h**4 + 1 + 8*h. What is g in w(g) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.845 + 0.82. Let b = z - -0.0249923. What is b rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2. Let k(a) = 4*a**2 - 6*a + 7. Let h(m) = m**2 - 2*m. Let z(x) = 3*h(x) - k(x). Calculate z(u(b)).\nAnswer: -4*b**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/6 + -4 + -3)*-147. What is the remainder when 41 is divided by 471\/21 + 28\/m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2763?\nAnswer: -2756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 507637195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3576 + -4010. Put 3\/4, y, 1\/8, 0.1, -3\/8 in decreasing order.\nAnswer: 3\/4, 1\/8, 0.1, -3\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20932228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**6\/720 + 2*r**4\/3 - 18*r. Let n(m) be the third derivative of j(m). Let a(u) = -91*u + 91*u + 7*u**2. Give n(a(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -196 - 166. What are the prime factors of k?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6242345\/682 - -9153. Let r = 10399\/1023 + l. Find the common denominator of 143\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -13. What is the tens digit of (-1)\/r - (-652)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + 13 + 6 - 19.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, c: 5, z: 1}. Give prob of picking 2 c and 2 g.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -147d (base 14) to base 16\nAnswer: -e37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.39 - 39. Let s = 0.01 + r. Let w = -3.82 - -7.82. Which is the smallest value? (a) w (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 66, -93.\nAnswer: -93, -1, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 364355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9857*w + 199*w + 4230*w + 1128*w to l + i*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4904, -9805, -14700, -19589?\n\"Answer: 3*z**2 - 4910*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2900905980 to the power of 1\/2, to the nearest integer?\nAnswer: 53860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b + 38063*b**4 + 10*b - 2 - 38059*b**4 + 211*b**6 - 142*b**2 wrt b.\nAnswer: 25320*b**3 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 10\/7, -0.22, -2.2, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-50) - 58\/(-60)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062897231.\nAnswer: 3, 11, 397, 81131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -9. Sort g, -4, -2 in descending order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103535 != 103534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 11 - 37. Let u = k - 13. Is (26\/u)\/(1\/6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17341201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 - 120*l**4 - 936*l**3 - 864*l**2 + 6480*l = 0. Calculate l.\nAnswer: -30, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 4*g + g + 19. Let o be 0\/(-2) - -2 - (-11 - -17). Let h be v(o). Solve h*d = 5*x - 15, d + 5*x = -d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from zzziwzzzzzzzwwzwwwwz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 - -299090876394.\nAnswer: 299090876930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 25*c**2 - 5*c - 25.\nAnswer: 5*(c - 1)*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 327652083?\nAnswer: -327652080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3 - 1.3. Let j = -20.97 + 21. Let z = -0.2 - 0.1. What is the biggest value in z, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17197 and 10239924.\nAnswer: 296957796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 12*c**2 - 298*c + 8. Calculate m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1 + 150*k**2 - 4*k - 2*k - k. Let v be d(7). What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34962 is divided by 72.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 4. Let o be g(3). List the prime factors of o\/2 - (-70)\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12bbc90 + 10?\nAnswer: 12bbca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 + -391. Find the second derivative of w*u**4 - 2 - 98*u + 546*u**3 - 546*u**3 + 2 wrt u.\nAnswer: 192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-26))\/((-358)\/2327).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(95)*-4 - sqrt(95))\/(sqrt(50)\/sqrt(250)).\nAnswer: -65*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 2293560.\nAnswer: 11467800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -27*s**2 + 2*s + 2. Let m(p) = -14*p**2 + p + 1. Calculate 3*g(n) - 5*m(n).\nAnswer: -11*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929186351 - 929186351 - 2*a**2 - 3*a**3.\nAnswer: -3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4 = q - 38, -13*q = -105*t + 103*t + 68 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + a - 6. Let o(u) = -u**2 - u - 1. Let t(n) = 24*n**2 + 7*n - 13. Let m(y) = -4*o(y) - t(y). Determine 6*m(x) + 17*w(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, t: 2}. Give prob of sequence ggtg.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 592041278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 512119, 1024251, 1536383?\n\"Answer: 512132*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 4 = -12*l. Suppose 6 = -5*n + l*n. Sort n, -1, 5.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -547 + 1c?\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, -3\/37, -5, -15063 in descending order.\nAnswer: -3\/37, -2\/5, -1, -5, -15063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 23*n + 566*n + 6 - 49.\nAnswer: 543*n - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 211, -1\/4, 1\/2, -1?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(1\/21)))\/((j\/(j*j*j**(-1\/4)))\/j) assuming j is positive.\nAnswer: j**(59\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44581 is divided by 3429.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -189 in -7\/3, -4, -0.03, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05572837 and 0.01.\nAnswer: 0.0005572837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l + 40*l + 39*l in the form m + b*l and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 3*n - 5*n**3 - 87 + 0*n + 45*n**2 + n.\nAnswer: -3*n**3 + 45*n**2 + 4*n - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3062, -3049, -3122, -3323, -3694, -4277, -5114?\nAnswer: -6247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**2 - 27*g**2 + 20*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 - 155. Solve -5*f + 2*f + s = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2919)\/(-278))\/(1\/(-4)*2\/(-1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6852\/25695*((-6)\/(-45)*-27)\/(8\/35).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3393.24 and 4.\nAnswer: 13572.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2. Let n(x) be the first derivative of -44*x**3\/3 + x - 142. Calculate n(p(y)).\nAnswer: -1100*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31988993\/11 - -2905599. Let o be ((8729\/(-21))\/1)\/((-2)\/12). Let d = k + o. Calculate the common denominator of 75\/2 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 0*p + 28 - 20. Let o(v) = -383*v + 3. Let b(d) = 255*d - 2. Let l(y) = 6*b(y) + 4*o(y). Determine h(l(u)).\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + 57\/(-120). Let o(b) be the second derivative of -w*b**5 + 2*b + 0*b**4 + 0*b**2 + 0 + 1\/60*b**6 + 0*b**3. Suppose o(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/8 + 2*z - 17\/8.\nAnswer: (z - 1)*(z + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1071, 1\/15, -4\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -5*d - 3*s + 9, 3*d + 4*s = 12. Let m(n) be the second derivative of 0*n**3 - 1\/45*n**6 + 4*n - 1\/30*n**5 + d*n**4 + 0*n**2 + 0. Factor m(v).\nAnswer: -2*v**3*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1114*g. Let w be f(-3). Let u = w - -940. Is (u\/(-5))\/((-2)\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979 divided by -310?\nAnswer: -2979\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3514*c**2 + 1761*c**2 + 1754*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 4*k - 62. Let b be z(12). Let q = 429 + b. Sort 1, q, -3.\nAnswer: -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1216, -1617, -2278, -3199?\n\"Answer: -130*h**2 - 11*h - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 - 639\/4. Let n = -913125 - -913135. Which is the third biggest value? (a) n (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*q - 27. Solve 0 + 2\/7*m**2 - 2\/7*m**q + 2\/7*m**5 + 0*m - 2\/7*m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-6))\/(-5))\/((-4)\/((-208)\/4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**2 + 17*k**2 - 7*k**2. Let t(c) = 3*c. Determine t(l(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 + -a851?\nAnswer: -a87a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b. Let h(q) = q**2. Give h(k(v)).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w\/w**(-11))\/w)\/w)**(-26)\/((((w*w*w**(2\/9))\/w)\/w)\/(w*w**(1\/22))) assuming w is positive.\nAnswer: w**(-66761\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2)*(4 - 7). Let u(j) = j - 4. Let l be u(6). Let r be (-2)\/8 + l\/8. Solve 2*z + 3 + v = r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2693*d**5 - 3*d**2 - 2*d + 185.\nAnswer: -161580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (30 + -9 - 16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 - 6*l**2 + 11*l - 8. Calculate c(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -1 (c) 0.12 (d) 0.9 (e) -0.397\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-13))**(-33) assuming g is positive.\nAnswer: g**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 124 = 4*u. Let y be (-17)\/u + (-30)\/(-45). Which is the third biggest value? (a) y (b) 3\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*t - 29, 0 = -t + 3*t + 5*l - 15. Let v = t + -7. Suppose 8 = -y + v*y. Calculate the highest common factor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 minus -5550?\nAnswer: 5498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -32. Suppose -10 = 4*d - m. Is 57\/2*d\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 2*h**2 + 1. Let c be k(2). Suppose 27 = -32*p - 28 + 55. Solve p*o = -o + c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/((-3)\/27). Let m = 0.6 + -2.6. Let i be 0 + 0 - 2\/12. Put i, m, p in descending order.\nAnswer: i, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*t**2 - 540*t**2 + 1125*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 - -217. Suppose -200 = -4*z - z. Suppose -k + 45 = 2*b - z, 2*b = 5*k + s. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + 5. Let v(p) = -7*p**2 - 6. Suppose 0 = -4*f + 8, a - f + 20 = -2*a. Let t(d) = a*g(d) - 5*v(d). Let k(n) = 15*n**2. Calculate t(k(o)).\nAnswer: -225*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 73, 34 in ascending order.\nAnswer: 0, 34, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24818, 24766, 24620, 24332, 23854, 23138?\n\"Answer: -8*r**3 + r**2 + r + 24824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -3\/10*j**6 + 0*j**3 + 11\/4*j**4 + 0*j**2 + 0*j**5 + 0 + 24*j. What is the third derivative of g(y) wrt y?\nAnswer: -216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (69 + -14)*(-48)\/(-10). Let u be (12\/(-10))\/3*-60. What is the highest common divisor of u and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/5 - 820034*v\/5 - 820036\/5 = 0 for v.\nAnswer: -1, 410018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**4\/3 + 5910*v**3 + 4810993*v**2 + 3702396584*v\/3 - 176402800 = 0.\nAnswer: -1004, -525, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 5*o + 9*o)*(-69*o**2 - 9*o + 31*o**2 + 39*o**2).\nAnswer: 3*o**3 - 27*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f. Let h be 14 + 7 - (0 - f). List the prime factors of 357\/9 - 14\/h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.56 * 1.3.\nAnswer: 12.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -277760 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**3. Is 2 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 684 * -20.703\nAnswer: -14160.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/60 - 3*k**4\/8 + k**3 + k**2. Let f be y(-6). Suppose 5*q - f = q. What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355 divided by 71.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 2*o**2 - 6*o + 2*o - 3. What is the tens digit of t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 2*g - 2. Let v be y(-3). Let m be 2 + (4\/(-4) - v). Let w = m + 3. Calculate the greatest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2. Let d(a) = -8*a**3 - a**2 + 21. Calculate -d(v) - 6*g(v).\nAnswer: 2*v**3 + v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x - 58. Let w be d(-8). Let r be (1\/w)\/(24\/432). What is the greatest common factor of 4 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203 + -6546?\nAnswer: -6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8156770.\nAnswer: 2, 5, 17, 47981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1 + (-434)\/420*-5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -c5940 (base 16) to base 10\nAnswer: -809280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*((14 - 9*a**3 - 14)*(1 - 1 + a) + 8*a**4 - 4*a**4 + 2*a**4) to the form l + y*a**3 + g*a**2 + j*a + t*a**4 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djdddjxsjdxjdjjjjdj. What is prob of picking 1 d, 1 j, and 2 x?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:12 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -496, 5, -8, -4754 in decreasing order.\nAnswer: 5, -8, -496, -4754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6563, -17761, -36441, -62615, -96295?\nAnswer: -137493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.781 - 0.1\nAnswer: -8.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/10505248 and 97\/160.\nAnswer: 52526240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 7*l**3\/3 + l**2 + l - 1. Let s be z(-1). Let c(i) = 2*i**2 - 3*i - 5. Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125860 and 12152?\nAnswer: 1762040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(0*l + 2*l + 0*l) - 3 + 3 - l)*(101 - 25*l - 4*l - 100).\nAnswer: -87*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2112*n + 7. Let q(d) = 1055*d + 3. Let l(h) = -3*o(h) + 7*q(h). Let r(j) = -2*j**2. What is r(l(y))?\nAnswer: -2200802*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2*g - 3*g - 8, -1 = 2*g + 3*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102 at least 2566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 3, u: 4, m: 2}. Give prob of picking 1 m and 3 u.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2341*c**2 - 26*c - 41. Let f be k(-2). Calculate the highest common divisor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52416.79l in millilitres?\nAnswer: 52416790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v**(-16)*v*(v*(v**(5\/4)*v*v)\/v*v)\/(v\/v**(1\/6)) assuming v is positive.\nAnswer: v**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (686\/(-392))\/((-1)\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(833) - (sqrt(833) + (2*sqrt(833)*5 - sqrt(833)))) + -5 + (sqrt(833) - -3*sqrt(833)) + 3)**2.\nAnswer: -83304 - 280*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 6) to base 3.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -12. Let b = -172 - -177. Calculate the least common multiple of v and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(0 - 1) + -4. Suppose 2*z = -5*i - 15, 3*i + 39 + 1 = 5*z. Suppose -d - 13 = 2*v - z*v, 6 = -2*d + 2*v. Put x, d, -1 in descending order.\nAnswer: d, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 9.14184 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246 - -68.8?\nAnswer: 3314.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 0.19159\nAnswer: -3.44862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14535 is divided by 169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 586.0583ml?\nAnswer: 0.5860583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + 10*q)*(-2*q + 2*q + 2*q) + 3*q - 3*q + 2*q**2)*(-64 - 52*q + 64) as l + v*q**2 + a*q + c*q**3 and give c.\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v + 25. Suppose 2*l = v*p + 20, l = -2*p - 8 - 9. Is 19 a factor of (38\/3)\/((-4)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfvf when four letters picked without replacement from {a: 2, t: 1, x: 4, f: 3, v: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 128*u**2 + u. Let d(i) = 130*i**2 + i + 1. Determine -3*d(m) + 4*s(m).\nAnswer: 122*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -911 = -913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**4 + 15230*y**3 - 3936*y**2 - 243680*y + 60928 = 0.\nAnswer: -1904, -4, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 932303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2709426 + 64?\nAnswer: -2709372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17*s. Let i(p) = -9 + 11 - 431*p**2 - 2 + 236*p**2. What is i(y(u))?\nAnswer: -56355*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 61786.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 12*s + 840. Suppose -5*v - 148 = -s. Solve a - 10 = -v*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 + 46*a**4 + 248*a**3 + 384*a**2 = 0 for a.\nAnswer: -16, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -964941, -964951, -964953, -964941, -964909, -964851?\n\"Answer: s**3 - 2*s**2 - 11*s - 964929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45 (b) 9.06 (c) -2 (d) -3.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/140 + 9*o**4\/56 - 11*o**3\/7 - 77*o**2. Determine g so that a(g) = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484769636 rounded to the nearest one million?\nAnswer: 485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3422 - 3422.07982. What is a rounded to three dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 6 - 4\/3*j**3 + 2*j**2 + 1\/4*j**4 + j. Let i be ((-1)\/(-2))\/(5\/30). What is q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 23 = -2*m - 2*d, -5*m - 2*d = 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z - 7. Let t = 9 - 3. Let m(r) = -1 + 2 - r + 0. Let q(n) = t*m(n) + b(n). What is the first derivative of q(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (30 - 34) + (3 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 21. Suppose 2*o - b = q, 5*o - o = q + 10. Suppose 0 = a - 6 + 1. Sort a, 2, q in ascending order.\nAnswer: q, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 divided by 5558?\nAnswer: -487\/5558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -98841885.\nAnswer: -2\/19768377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**2. Let a(h) = -28*h**2 - 16. Let u(i) = 336*i**2 + 196. Let d(m) = 49*a(m) + 4*u(m). Calculate w(d(o)).\nAnswer: -7056*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-2 - -7) + -3 + 0\/(-7). Let x(i) = -i. Let v be x(-5). Solve -r*d + 4 = -v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + (-2136)\/(-21). Suppose -8*b + 10*b = i. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 1056, 1436, 1720, 1884, 1904?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 383, 0 in ascending order.\nAnswer: -2, -1, 0, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-28)*(-9)\/(-189)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 60 + 3 + 4 + -15?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191598 is divided by 70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34561764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j**2. Let d(r) = -8801964*r**2. Calculate d(o(v)).\nAnswer: -1487531916*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 853, 858, 865, 874, 885?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33581285 by -5.\nAnswer: -6716257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 6066*t = -6063*t, -2*t + 5 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71985 and 3495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 123.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10223, 40669, 91447, 162557, 253999?\n\"Answer: 10166*a**2 - 52*a + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -12676 and -780 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express 2099*b**2 - 3*b + 2095*b**2 + 2 - 4191*b**2 + (-2*b + 2*b - 2*b)*(-43*b - 104 + 104) in the form r*b**2 + f + s*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b + 1. Let c(f) = -969*f + 13. Give -2*c(p) + 30*r(p).\nAnswer: 2238*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(95) + (sqrt(95)*1 - sqrt(95)) + sqrt(95))*2 + sqrt(95) + 3*1*sqrt(95)))\/(5*(sqrt(20) + ((sqrt(80)*1)\/sqrt(4) + sqrt(20) - sqrt(20)))).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 0*h - 32 - 6*h.\nAnswer: -6*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 + -2 - (-4 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h + 45. Let o be c(21). Let i = 403 + o. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2531790450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 365437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17314\/5 + -3467. Which is the closest to -1? (a) -1\/4 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.9 - 9. Which is the biggest value? (a) m (b) -5 (c) 0.6 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 23, 25, 19, 5, -17?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 6*i - 4*i + 8*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0 (c) 76391.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*c - 6 = -0*c, 4*n - c = 9. Solve 0 = 5*m + 2*o - 11, 3*m + o - 12 = -n*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1682681)\/70)\/(-11) - (-6)\/(-20).\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29533016 to the power of 1\/2, to the nearest integer?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7))\/((-118)\/(-1652)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -615*a**2 - 17*a + 8. Let k(w) = 608*w**2 + 19*w - 9. Determine 6*k(v) + 7*t(v).\nAnswer: -657*v**2 - 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 26*q + 64. Let w be (2\/q)\/((-20)\/80). Let n(s) be the third derivative of s**6\/120 + s**5\/15 - s**4\/24 + s**3\/3 - s**2. Calculate n(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74.71 + -0.29. Let a = -75.4 - i. Put 5, -2, 7, a in descending order.\nAnswer: 7, 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aefaaaaaafffaaaaaf?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 4*v - 13*v + 14 = 0, 5*v + 99 = 16*t + 10*v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3907 divided by -266?\nAnswer: 3907\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Suppose 2*m - 6*m + 32 = 4*z, z + 2*m = d. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 3. Let x be y(-6). Let k(i) = -i**3 + 18*i**2 - 22*i - 5. Let r be k(16). Suppose r = 14*p - x*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 15 = -2*j. Let w = j - 3. Calculate the least common multiple of 2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -0.77327.\nAnswer: 13.91886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/11810 - -1558959\/153530. Are 9 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8519931?\nAnswer: 3, 7, 61, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8997735.489 to the nearest one hundred.\nAnswer: -8997700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**7\/189 + 4*b**6\/135 - 2*b**5\/45 - b**4\/27 + 5*b**3\/27 - 2*b**2\/9 + b. Find s such that g(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27483.651s?\nAnswer: 7.6343475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 198*d - 54*d + 226 + 494 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11555530 - 3?\nAnswer: 11555525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 + 39*i**4 + 37*i**3 - 39*i**2 - 38*i.\nAnswer: i*(i - 1)*(i + 1)**2*(i + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (6 + -3) - (-2 + -3 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42631626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 251.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 0.18127?\nAnswer: -0.0090635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*s - 18, -1367*r = s - 1364*r + 27 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 1. Suppose 5*c - 16 = c. Suppose o - 4 = d, -5*d - c*o = -5*o. Calculate f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -999 + 1176. What is the smallest common multiple of n and 18?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 + 123*c**5 - 43*c**5 - 1 + 0 + 136*c**5 - 4*c**2 wrt c?\nAnswer: 12960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -117. Let j = b + -7. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0232 + -4.9768. Put 0.5, 0.02, g in increasing order.\nAnswer: g, 0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16656 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 2*f, 2 + 0 = -f. Let r(k) = k. Let a be r(2). Suppose -i = -4, 5*z + 2*i = -a*i + 31. Solve -4*b = 5*g - 9, -b + 5*g + z - 7 = s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 4)*(-2567*m - 1366 - 1365 - 1370 + 5457 - 1363) to the form k*m + u and give k.\nAnswer: 5134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + sqrt(1100)*2 + 2) - sqrt(1100))**2.\nAnswer: 120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5794, -11352, -16886, -22384, -27834?\n\"Answer: 2*s**3 - 5572*s - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) 7 (c) 4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -385025\/243 or -1583?\nAnswer: -385025\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 228761742 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3093.\nAnswer: 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 2, a: 2}. Give prob of sequence aab.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = 8*z. Let j be 66\/z + 3\/(-6). Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 554179873479*r - 554179873479*r + 4*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -99*r**3 - 6*r**2 - 11*r - 22. What is the units digit of q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 8:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308835317.\nAnswer: 7, 151, 292181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -65. Let g(l) = l**3 - 3*l**2 + l + 2. Let c be g(2). Suppose 4*s - 10 = -3*q, 3*s = -c*q + 4*q - k. Solve r = -2*d + 3*r - q, d = -r - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 708, 1423, 2160, 2919, 3700, 4503?\n\"Answer: 11*x**2 + 682*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -0.3, -47842?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 146 = -40*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -25, 55, 155, 269, 391, 515?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c**5 - 115*c**4 + 45*c**3 + 1135*c**2 + 1775*c + 780 = 0. Calculate c.\nAnswer: -4, -3, -1, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 57, -5, 44, -8, 3, 1 in ascending order.\nAnswer: -8, -5, -2, 1, 3, 44, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/8 + 405*h**3\/4 - 201*h**2.\nAnswer: -3*h**2*(h - 268)*(h - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 not equal to -3254\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7666 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-54) + -12 - (-2 - 40\/5)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (57 - 7)*(-3 - (-147)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 + 228*y**3 + 3849*y**2 + 13420*y = 0.\nAnswer: -11, -5, 0, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13234 (base 5) in base 8?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/17 + 607824*j**2\/17 - 1215654*j\/17 + 607828\/17.\nAnswer: 2*(j - 1)**2*(j + 303914)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + 109. Let b = g - 124.9. Round b to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 1, 5, -48, 26, -27, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -44223.\nAnswer: -5\/44223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i**3 - i**2 - 132*i. Let v(m) = m**3. Let d(b) = -j(b) - 2*v(b). What is the second derivative of d(k) wrt k?\nAnswer: 102*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, e: 4, x: 3, s: 1}. Give prob of picking 1 x and 1 e.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 80. Let b be y(21). Let d = b - -233. What is the highest common factor of 156 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/(k**(-1)*k)*(k*k*k**5)\/(k\/(k*k**(-3)))*(k\/(k*k**(-1)))**(1\/42)\/(((k*k*k**4)\/k)\/(k\/(k**(-1\/3)*k))) assuming k is positive.\nAnswer: k**(47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1752 divide 182745864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(405) + sqrt(405)*2 + sqrt(405) + sqrt(405)))\/(5*-1*sqrt(9))*1.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222662 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.537 times -1190\nAnswer: 1829.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -318?\nAnswer: 1\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.1 in -0.3, 2\/5, -99, -0.09?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 + 4 = 0. Let f = 9 + -7. Let i(z) = 8*z - 5*z - 7 - f + 5. Determine i(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 3*l**2 - l**2 + (1 - 1 - l)*(-l - 4*l + 3*l) + 4*l - l**2 - 4*l + (2 + l - 2)*(-l + 2*l - 2*l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 282. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009839 is divided by 9100?\nAnswer: 8839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let h(u) = -q*u**2 + 0 + 1 - 2*u**2. Let x be 12*1\/3 - 5. Calculate h(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9459.\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Suppose -8*p = -n*p - 114. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3) + (-32)\/(-2 - -1). Solve v*f = 96 + 64 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a - 5. Let g be t(2). Let l(k) be the second derivative of k**4\/12 - 2*k. Let f(c) = -7*c**2 + 3*c + 6. Let w(x) = f(x) + 6*l(x). What is w(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2326*c**2 - 238*c**2 - c**5 + 633*c**3 - 138*c**2 - 602*c**3 wrt c?\nAnswer: -60*c**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115984 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**15*(q**(6\/5)*q)\/q)**(3\/4) assuming q is positive.\nAnswer: q**(273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.197 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 - -0.7. Let j = 14 + b. Let f = j - 11.096. What is f rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -o - 10, -7*d + 2 = -5*o - 3*d. Suppose 4*w + 5*f - 10 = 19, w - 5*f = -24. Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134 + -2?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.91 + -0.09. What is the closest to 0.1 in -3, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 16*u - 72. Give a(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 11 = 11 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12524?\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.69 + -0.4?\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -186*m**2 + m - 4. Let p(v) = 278*v**2 - 2*v + 6. Calculate -7*a(x) - 5*p(x).\nAnswer: -88*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 27*x**2 - 5*x - 25. Let u be w(-6). Suppose -c = s - u, -3*c - c + 3908 = -s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -24. Suppose 0 = -5*v + 4*y + d, -y + 0*y = 2*v - 5. Which is the closest to -1\/4? (a) 0 (b) v (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220 - -198. Sort f, -2, -0.4, 2 in increasing order.\nAnswer: f, -2, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -147. Suppose -3*x + i = s, -3*x + 5*x - 284 = -4*s. Calculate the greatest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 200\/11 (b) 2247 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 141 - 129. Suppose j + 2 = u. Which is the nearest to 1? (a) -3 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -230 - -2068\/9. What is the nearest to -1\/24 in 3\/5, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/8)\/b**7*(b**0)**(26\/9) assuming b is positive.\nAnswer: b**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-2)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*u = 49, u = 2*u + 1. Let d = l + -4. Suppose 0 = -21*f + 22*f - d. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:46 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11266, 89742, 302444, 716386, 1398582, 2416046, 3835792?\n\"Answer: 11169*z**3 + 99*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1570 - -1094. Let h = 489 + f. Calculate the remainder when 165 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6194 and 180614?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 121 + 31 = 0. Let w = -19 - j. Suppose 4*r = r + 330. What is the greatest common divisor of w and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 20 + 13 + -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 285, 643, 1115, 1701?\n\"Answer: 57*l**2 + 73*l - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 11*a = 0, -4*a + 29 = -4*u + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 22*p + 2. Suppose -3*s + 4*g - 62 = 0, 5*g = 3*s + 4*g + 65. Let z be m(s). Suppose -2\/3 - 1\/3*t**3 + t + 0*t**z = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44921*d**2 + 13733?\nAnswer: 89842*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381182.484 rounded to the nearest ten thousand?\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8656 rounded to two decimal places?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771564451?\nAnswer: 7, 103, 1070131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 8*a**2 - 7*a + 21. Let q be l(-9). Suppose q*p - 69 = -0*p. Solve 0*s = 5*s + 3*t - 19, t = -5*s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 36 = -4*s + s, -n = -4. Suppose 6*f - 3*f - 9 = 0. Suppose f*d + 2*h - 52 = 0, 2*h + 28 = d - 0*h. Calculate the least common multiple of d and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/19 (b) 1 (c) 0.4 (d) 4\/7 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02769273 + -0.02767. Round t to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 918 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 e when four letters picked without replacement from hqqhepqhfhqhqh?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1374 + -612.1374. Let j = 612.00017 + t. What is j rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -502939*j**3*q**3*u - 2*j**3*q**3 + 5*j**2*q**2 + 11*j**2*u + 165*j*q**3 wrt j.\nAnswer: -3017634*q**3*u - 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 585.9492ng?\nAnswer: 0.5859492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (588 + 96 + 176)*(-16*t**2 - 4*t**2 + t**2) in the form z*t + h*t**2 + v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2 + 2, -3*a + 9 = -3*h. Let s(x) = -9 + a*x - 8 + 19. Let f(d) = -16*d - 8. What is -2*f(i) - 9*s(i)?\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 3. Let h = 4 - q. List the prime factors of (-114)\/h + 2\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q. Let w(v) = -5*v + 2*v**2 - 6*v**2 + 7*v**2 + 0*v. Let b(i) = 5*k(i) + w(i). Let z(j) = 25*j**2. Give b(z(d)).\nAnswer: -1250*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10*y - 5. Suppose -4*h - 8 = -0*h. Let a be q(h). Let w be (-33 + -17)*(-3)\/2. Calculate the greatest common factor of a and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d - 15. What is the units digit of 3 - (d + -1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20592 = 1147*f + 1030*f - 593*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 19 + 27 + x - x**2. Determine v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 835\/2, -1, -2\/15.\nAnswer: -1, -2\/15, 835\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voccvcvv. What is prob of sequence ov?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.19 - 1.09. Which is the biggest value? (a) 26 (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87783 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 117 - 3\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45367 is divided by 101.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - 1\/((-21)\/162). Suppose -a = -5*a - 4. Let b = a + h. Solve 3*t = -m, -3*m - 4*t + 2*t = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -3913.97.\nAnswer: -3913.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100100221 - -11?\nAnswer: -100100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let b = k - 1. Let s = -3.000024 - b. What is s rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 3*r + 2*x + 15, 6*r + 0*r = -2*x + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3415356 and 2934?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.2417.\nAnswer: -0.2417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/z)**26)**(-31\/5) assuming z is positive.\nAnswer: z**(-3224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -36*s**2. Let p(y) = -y**2 - 2*y. Let v(i) = 4*i**2 + 9*i. Let q(h) = -9*p(h) - 2*v(h). Determine q(m(c)).\nAnswer: 1296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 61. Sort 0.5, 4\/7, b, -0.5.\nAnswer: -0.5, 0.5, 4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -3, -2, 163 in increasing order.\nAnswer: -3, -2, 40, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3 - 3)*(3*s**3 + 0*s**3 - 4*s**3 + (0 - 4 + 3)*(2*s**3 + 0*s**3 + 3*s**3) - 2*s - s**3 + 5*s - 2*s).\nAnswer: -14*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16757534 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2. Let g(s) be the third derivative of s**7\/2520 - 7*s**5\/60 + 5*s**2. Let t(h) be the third derivative of g(h). What is y(t(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.767 - 0.947. Let v = 0.28 + n. What is the closest to 4\/7 in 0.06, -0.1, -2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674*i = -662*i - 187824. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 37 = -u + 72, -2*c + 44 = 4*u. Let o = 11 + c. Calculate the greatest common factor of o and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65818, -65332, -64846, -64360?\n\"Answer: 486*k - 66304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:31 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/(-2418)*(-8)\/(-6).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6473.437 litres?\nAnswer: 6473437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67588 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 56 - 104. Suppose 4 = -m + j. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(95)*1 - sqrt(95))*2)\/sqrt(5))**2 - (-1 + (-3*sqrt(190)*-3)\/sqrt(10)).\nAnswer: -9*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + 0)*-6)**2 - sqrt(4)\/(sqrt(8)\/sqrt(4))) + (-4*(sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(2)*-1)*-3)))**2.\nAnswer: -sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + 5. Let j = u + -40. What is the third smallest value in j, -3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-19)*3 - (17 - 2568\/152)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 0. Let g = 14 - 14.1. Let s = -0.29394 + 0.09394. What is the closest to -6 in g, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 141*s**3 - 405*s**2 - 399*s - 132.\nAnswer: -3*(s + 1)**3*(s + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 4 - (2 + 2) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16686 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 239660200 to the power of 1\/2, to the nearest integer?\nAnswer: 15481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10628 + 14892 = 82*u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 - -334?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -69. Find the first derivative of 9 - 22 - 12 - 18*m**3 + p*m**3 wrt m.\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:55 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 304063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let t(d) = -3*d - 1. Let q be t(-1). Let y(r) = -r**2 - 5*r - 4. Let j be y(-3). Let w(h) = q*h - j*h - h - h. Calculate w(z(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -25, -21, -13?\n\"Answer: 2*v**2 - 6*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300) - (sqrt(143) + sqrt(143)*-2)\/sqrt(11) - (0 + sqrt(325) + -2 + -5*sqrt(325)*-1 + sqrt(325) + sqrt(325)))**2.\nAnswer: -76*sqrt(13) + 4697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 8. Is 2 a factor of j(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 356, 1196, 2810, 5450, 9368, 14816?\nAnswer: 22046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - -8) + (-12)\/(-2). Let l(w) = -w**2 + 3*w + 4. Let s be l(z). Find the second derivative of 3*a - 2*a**s - 3*a + a**4 - a wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:55 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.263 - 0.3. Round m to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/15)\/(-1 + -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-27))\/((-3485)\/(-765)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 3, n: 4, d: 3}. What is prob of picking 1 d and 1 l?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3245 < -3245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 12*h - 50. Solve 5*r = -20 - h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587 less than 2589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1801, 1949, 2097, 2245, 2393?\n\"Answer: 148*c + 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 999 - 1132.6. Round u to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(21\/6)*(3 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023220022 + -30021?\nAnswer: 1023130001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -1\/7 (c) -3\/26 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323 - 2*w**2 - 323.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 51278 = 18778. Let d = s - 38843\/6. Let p = d + -26. Are 1 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = a - 987. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*t - 177007 = 0, 2*h - 118623 = 6*t + 58321. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342755987 rounded to the nearest 1000000?\nAnswer: 1343000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.28 (b) 122\/11 (c) 5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n**2 + 3*n + 2. Let i(f) = f**2 - 4*f - 8. Let t be i(6). Let b be g(t). What is the common denominator of b\/25*15\/(-4) and 57\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 - 9*x - 10. Let w(y) = -5*y**2 + 10*y + 11. Let q(h) = -6*c(h) - 5*w(h). What is the units digit of q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 7*q - 2. Suppose 0 = 4*h + 3*y + y - 4, 2*h = -y + 3. Let g be ((-5)\/h)\/((-3)\/(-6)). What is the units digit of i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(104) - sqrt(104)*-2)\/sqrt(8) + sqrt(13) - sqrt(13)) + 4)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 279*d - 178*d - 219*d + (1 - 1 - 2)*(-3*d + 2*d + 0*d) + 0 + 2*d + 0 + 5*d - 3*d - d.\nAnswer: -113*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*j + 5*i, 26 = 2*j - 2428*i + 2422*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111000100010 - 10?\nAnswer: 10000111000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -498*y**3 + 498*y**3 - 68*y**5 - 2*y**4 + 2*y**5 + 2*y**4 + (-2*y**2 + 2*y**4 + 2*y**2)*(y + 4 - 4) + (-4 + 2*y + 2 + 1)*(2*y**4 - 5*y**4 + y**4).\nAnswer: -68*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1.8 (c) 1 (d) -0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 224771.9077 to the nearest one thousand.\nAnswer: 225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212 - 412100412?\nAnswer: -412100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67920474 and 85503?\nAnswer: 7773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -21*i - 1. Let s be j(-5). Let c be -1 + 0 + 1 + 604. Let y = c - s. What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -192680, -385306, -577932?\n\"Answer: -192626*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 33*g + 19. Let i be m(-16). Solve i*n + 6 = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14161251451 to the nearest 1000000.\nAnswer: 14161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 0, 7*t - 3*t = -l + 2. Suppose l*x - 97 = -27. Solve 9 = 3*h + x*c, 2*c = -4*h + h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 5*w + 8. Let z be x(-6). Let b(g) = -5*g + 0*g**2 + z*g**2 + 2*g - 1. Is b(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x + 1. Let b(o) = -29*o**3 - o**2 + o + 1. What is the units digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*o - 3*l, 0 = 3*o + 5*l - 22 - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115\/241 + 6233\/1446. Let p(i) be the second derivative of 0 - 11*i**2 + 27*i + k*i**3. What is the derivative of p(o) wrt o?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 2. Let v(k) = -2*k - 53. What is v(y) + 5*x(y)?\nAnswer: -7*y - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 40. Suppose w = -w + d. Suppose -l = -5*z + w, -7*l = 4*z - 2*l + 13. Solve -15 = z*r, -3*o + 3*r - r = -7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 - 26*p. Let l(g) = g. Determine l(u(x)).\nAnswer: 9*x**2 - 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6572*a**2 + 6568*a**2 - 26374*a**2 + 6565*a**2 + 6681*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 1 - 18) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/6*(-24)\/(-28). What is the second derivative of -2206*g - g**3 + 2161*g + g**3 + 34*g**4 + 2*g**y wrt g?\nAnswer: 408*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9840634 * -0.18\nAnswer: 1771314.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 17. Let y be (-1)\/4 + (-282)\/c. Suppose -l = 7*f - 3*f - y, -3*l - 31 = -5*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o + b, -4*o = -0*b - 4*b - 28. Suppose a - o = 1. Solve 4*x = 3*x - a*p + 22, 4*x = 2*p - 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1517678 by -40.\nAnswer: 758839\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwyywywwy. What is prob of sequence ywwy?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 8:37 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (1 + 2)\/(-3). Suppose -i*w + 16 = s, 2*w - 6*w = -16. What is the biggest value in 2, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150981502 - 150981395.9999948. Let l = -106 + m. What is l rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -27. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + v + 3*v)*(4*v**2 + 0*v**2 - 2*v**2 + (3 + 13*v - 3)*(-54*v - 5*v - 62*v)) in the form j*v**3 + i*v**2 + x*v + k and give j.\nAnswer: -4713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -776\/5 - -156. Let a = 0 - 1. Let h = a + 0.7. Put 0.2, p, h in decreasing order.\nAnswer: p, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1447287913 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61832889?\nAnswer: 3, 763369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(60))\/((-1*sqrt(55))\/sqrt(11)) + (-1*sqrt(300) + (sqrt(12) + 3)**2)*-3.\nAnswer: -64 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 1, p: 1, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-42)\/o**37)\/(o**11)**(3\/4) assuming o is positive.\nAnswer: o**(-349\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 - v + 7. Give z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 128.1\nAnswer: -38.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3907379?\nAnswer: 7, 558197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + n + 1. Let a be k(0). Let f be (a\/(-3))\/(12\/(-144)). Let b = f - -14. Calculate the highest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*p = 175*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/(12\/30) - -3. Suppose -m - 171 = -t*m. Suppose -5*g - m = -222. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-126)\/84).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 910 - 787. Suppose 36 = -29*n + i. Solve -n*u + 2*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15683127*m + 21463449.\nAnswer: 15683127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241 + 0*l - 249 - 3*l)*(7*l - 5*l + 2*l).\nAnswer: -12*l**2 - 32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042365 take away 0.15?\nAnswer: -0.107635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.77 at least as big as 3084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049154157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**2 - 4 + 0*r**2 + 59*r**3 + 1 + 1 wrt r?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 + 90. Let p = g + 32. Let v(f) = f**2 - 17*f + 44. Let b be v(14). Sort p, b, -1 in increasing order.\nAnswer: p, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18 = j. Suppose -5*c - j*r - 13 = 0, 6 = -2*c - 0*c - r. Sort c, 0.5, -0.4 in ascending order.\nAnswer: c, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126.1 - 126. Which is the nearest to 0.1? (a) 5\/6 (b) 1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. Let a = -15 - -20. Suppose -k = 3*t - 18, -k + a*k = -2*t + 22. Solve t*z = 21 + i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -5. Let n = -8 + z. Which is bigger: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 176*k**3 - 5*k**2 + 40*k - 80. Let m be o(-10). What is m rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70497\/(-132) - 4\/22. Let b = v + 537. Calculate the common denominator of 57\/10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 - 138*a**2 + 1914*a + 2048. Let c(n) = n**3 + 2*n**2 + n. Let s(v) = 6*c(v) + m(v). Find l such that s(l) = 0.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11175 + -4742. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4213900 divided by 210695.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507610 is divided by 583.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1864*c + 21. Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -2, 6, 1, -82 in ascending order.\nAnswer: -82, -2, 1, 6, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 736*m**2 - 142 - 3*m + 10*m + 279 - 136 as d*m + i + n*m**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**4 + 2*g**3 - 2*g - 1. Let x(r) = 12*r**4 + 37*r**3 + 10*r**2 - 22*r - 7. Let a(j) = -14*t(j) + 2*x(j). Factor a(f).\nAnswer: 2*f*(f + 1)*(f + 4)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 455620330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 147041610433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/289791 and -5\/14?\nAnswer: 4057074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230941 or -230893?\nAnswer: -230941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4260634 + -1460634. Suppose -2*y = -6*y - c. Round y to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 1)\/(-4 - -3). Let d be (-285001)\/5 + y\/(-35). Round d to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 6*s + 4. Let h be x(-6). Suppose 2*o = -k + 2*k + 1, 14 = o + h*k. Suppose 28 = 4*i - 2*i. What is the greatest common divisor of i and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326 by -1.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87314 and 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -425*g + 431*g - 52080. Round g to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(392\/(-16)))\/(1\/(-10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 4977772333664.\nAnswer: 4977772333664.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*l**4\/5 + 192244*l**3\/5 + 623664*l**2\/5 + 548864*l\/5 + 146432\/5 = 0. What is l?\nAnswer: -2, -8\/13, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113210113 (base 4) to base 3.\nAnswer: -11220102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1573) + 1))**2.\nAnswer: 550*sqrt(13) + 39350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11966.69 nanograms to milligrams.\nAnswer: 0.01196669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 2. Suppose 5*m - 4*q + 36 = -7, -17 = m - 5*q. Let b(r) = 13*r - 6. What is m*f(s) - 2*b(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n - 2 = 0. Suppose 0 - 4 = -n*o. Let b = 11\/12 - 5\/3. Put 4, b, o in ascending order.\nAnswer: b, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -933 + 950 + -1 + (2 + -3 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -481 + 483.776. What is n rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 265*p - 2281*p - 739*p + 41325 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2. Let z = -0.2857 + 2.2857. Put z, o, 3, 0.4 in descending order.\nAnswer: 3, z, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -84. Let m be (-3)\/(-3)*(-1 + 2). What is k in -3*k + 2*k + s*k**2 - m - k**3 + 2*k + k**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsrsrr. What is prob of picking 1 s and 1 r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 3:36 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5 - 1 + i**2 - 1 - 7 - i. Suppose -d + 2*d = 3. Let o be m(d). Solve -o*h + 12 = 2*f - 0*f, h + 6 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14130 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (21600\/6912)\/(1\/(12\/91)) and 71\/598.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*z**4 + 3*j**2*z - 319*j*z**4 - 2964*j*z**2 wrt z?\nAnswer: 24*j**2*z - 7656*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554525987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -2149*x + 2211*x - 33 + 347 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -1)*1 + 44\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1059028*z**2 + 157563*z wrt z.\nAnswer: -2118056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -46 (c) -2708218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-2)*((-16)\/12 - 2). Let i be 15\/b - (-14)\/10. Find the second derivative of 16*o**i - 3*o**2 - 3*o + 12*o wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4346, 4361, 4374, 4385, 4394, 4401?\n\"Answer: -b**2 + 18*b + 4329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3954, -2 in descending order.\nAnswer: 3954, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 2, i: 1, n: 4}. What is prob of sequence mpn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Let i = -19 - -11. Let w = 7 + i. Which is the smallest value? (a) 0.3 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(3\/10)*r)**40 assuming r is positive.\nAnswer: r**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 1. Let s(u) = 2*u**2 + 1. Let j(x) = -k(x) + s(x). Let n(l) = -2*l**2. Determine j(n(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24099 divided by 2?\nAnswer: -24099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204) + sqrt(204)*2) + (sqrt(204) + sqrt(204)*-1 + sqrt(204))*4)\/((sqrt(1536) + (sqrt(1536) - -1*sqrt(1536)))\/sqrt(2)).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(26\/156)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 0.03363.\nAnswer: 0.43363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/(-1))\/(110\/132))\/((-135)\/45).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzkzkzkkzkz. What is prob of picking 3 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103*x - 97*x + 45*x - 48*x)*(4*x**3 - 2*x**3 - 3*x**3) + 2*x**4 + 5*x**4 - 3*x**4 to the form n*x**4 + g*x**2 + u + a*x**3 + b*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1757 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3505, -37, -16 in descending order.\nAnswer: 3505, -16, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*p + 15*p - 46*p.\nAnswer: -195*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 68*k**3 + 72*k**3 + 3*k**2 - 3*k**2 - 130*k**3 in the form r*k + y + m*k**3 + u*k**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 0.3 (c) 0.013 (d) -0.043 (e) 3\/20 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 3\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -15, -6, 7, 24, 45, 70?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 120*i**2 - 201*i - 3956. Give n(118).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuxxvvxvx. What is prob of picking 1 v, 1 u, and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 + 2792*g**2\/3 - 17442*g.\nAnswer: -2*g*(g - 1377)*(g - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q + 34. Let x(p) = -8*p - 35. Give 6*c(o) + 7*x(o).\nAnswer: -2*o - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-44)*y*y)\/(y*(y\/y**(-2\/73))\/y*y))\/(y**(4\/25))**(-20) assuming y is positive.\nAnswer: y**(-14902\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**7\/189 + 2*p**6\/135 - p**4\/27 + p**3\/27 + p - 10. Find x such that g(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-372)\/6*(-146)\/(-292)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:44 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z. Let d(j) = 9*j**2 - 10*j. Let l be (-4)\/(-18) - (-387)\/81. Let m(g) = l*w(g) - d(g). What is the second derivative of m(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 322 - 68 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 141?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1\/6, -0.049, 0 in descending order.\nAnswer: 1\/6, 0, -0.049, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 719 - 718.3. Let v = f - 1. Which is the closest to -2? (a) 0.5 (b) v (c) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.01, 4, 18250, -13 in increasing order.\nAnswer: -13, -3, 0.01, 4, 18250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/90 and 11\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78884\/35 - -15781\/7. Let z = 0.1 + -0.15. Let p = -4.05 - z. What is the smallest value in 2\/5, -0.4, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-231)\/1848*(-56)\/(-6))\/((-3)\/18). Let m(j) = j**3 - 29*j**2 + 5*j - 7. Let q(r) = -r**3 + 43*r**2 - 7*r + 10. Determine y*m(c) + 5*q(c).\nAnswer: 2*c**3 + 12*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5597950 to the nearest ten thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n + 8. Let v(a) = -a - 1. Let p be (-26)\/(-5) - 2\/10. What is p*v(t) + f(t)?\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15863 + 17792. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d + 3. Let n(k) = 2*k + 16. Let y be (-2 + -20)*(-2)\/(-4). Let s be n(y). Is r(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -3*b**7\/7 - 4*b**6 - 6*b**3 - 2*b + 242. What is the third derivative of k(g) wrt g?\nAnswer: -360*g**3 - 1440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(170)*-1)\/(6*(sqrt(1440) + (sqrt(1440) - (sqrt(1440) + 2*sqrt(1440))))).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -16*g - 96. Let f(p) = 3*p + 19. Let i(r) = 11*f(r) + 2*m(r). What is the smallest common multiple of 18 and i(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(150\/176) - (-7995)\/(-3075).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 14*q**3 - 68 - 2*q**2 + 15*q**3 - 74 + 147. Calculate c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) + 208\/(-78). Sort l, -4, -7, 0 in decreasing order.\nAnswer: 0, l, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 494 - 228. Let u = -266.11 + f. Which is bigger: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 90. Let q(t) = t**3 - 3*t**2 + t + 1. Let i be q(2). Put 1, -4, k, i in decreasing order.\nAnswer: k, 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57836923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1. Let r(y) = -2. Let l(q) = -5*j(q) + 3*r(q). Let w(u) = -u + 3. Let n(a) = 4*l(a) + w(a). Give n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003954294 to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 284\/18 + (-2)\/(-9). Suppose 5*j = r + 9. Is (2 - 2) + 11*j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43137 and 1728.464.\nAnswer: -41408.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 + 36 = 0. Let q(k) = k**3 - 13*k**2 + 10*k + 1. Is 29 a factor of q(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -52 + (7 - (-15 + 18 + -8))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 433020, 433873, 434724, 435573?\n\"Answer: -x**2 + 856*x + 432165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 2*l - 1. Let m(x) = 7*x**2 + x + 7. Let n(a) = -m(a) - 3*t(a). Determine n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5, 3\/14, 4.\nAnswer: -5, 3\/14, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2077766 (base 8) to base 12.\nAnswer: 22a446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:16 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 3*y**2 - 4*y + 1. Let l be c(3). Suppose l = 4*k - 0. Let u = -115 + 350\/3. What is the second smallest value in -3, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -21*q + 581165. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3497608 is divided by 11978?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 5*l + 4*l + (-4*l + 3*l + 2*l)*(-5 + 3 + 1) - 4*l + 0 + 0 - l + 0*l + 3*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240*u + 4\/3*u**2 + 1424\/3.\nAnswer: 4*(u - 178)*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + 1567*m + 1527*m + 7*m**3 - 3*m**5 - 3172*m - 12*m**5 + 12 wrt m.\nAnswer: -300*m**3 + 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -12. Let j = 0.4441 + -0.3841. Which is the third smallest value? (a) j (b) 0.4 (c) s (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 18*d + 96. Let l be m(-5). Calculate the highest common divisor of l and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630029 greater than -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - -310?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, 2\/1947, 4\/3, 1\/6, 4.\nAnswer: -283, 2\/1947, 1\/6, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = 4*i - 4*k, -1031 - 264 + 631 = -13*i + 4*k for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2204 - 2203.988. Let a = 499 - 500.452. Let l = a + k. What is l rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 * 0.46\nAnswer: -80.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + n + 109. Let j be w(11). Are -5\/56 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-34)\/(-765))\/((-1)\/5). What is the third smallest value in -0.3, 0.3, 2, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*h. Let w = -12.5 + 5.3. Let s = w + 6.7. Which is the nearest to 0.1? (a) 2\/9 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*y - 271 = d, -5*d + 390 = 4*y. Let x be 2\/10 + d\/(-10). Is (-153)\/(-5) - x\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7776, 7856, 7936?\nAnswer: 8016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 4*r. Let w be u(-3). Suppose -2045 = -w*s - k, -670 = -2*s + s + 2*k. What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose 4*h - 8 = a*h. Suppose -h*x - 14 = -5*x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 7 + -6 - -55) + (12 - (19 + -10))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 9)*(h + 0*h + 0*h).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/649 + 688574\/1947. Which is greater: 355 or u?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8177 != -8130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5826, 8234, 10644, 13056, 15470, 17886?\n\"Answer: p**2 + 2405*p + 3420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, -37, 5, -1.5, 0.141, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -340 + 340.0327. Round t to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 3 = -5*z. Let w be 27 + 15\/z*1. Let k(c) = c**3 + 9*c**2 - 6*c + 10. Let v be k(-7). Calculate the highest common factor of w and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863168889.\nAnswer: 3, 11, 26156633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -996*v**3 - 20*v - 21. Let m be d(-1). Suppose -8*b + m - 75 = 0. Calculate the highest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3638570 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771246062.\nAnswer: 2, 19, 20295949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 + -690.17266876?\nAnswer: -903.17266876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = -175*w - 59*w + 14092 + 300 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576809482.\nAnswer: 2, 43, 6707087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -17*l + 244. Let g be ((-1)\/(-3))\/(60\/(-4680)). What is the units digit of v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/22)\/(1\/50). Let t = -26 - m. Let v be (-300)\/45 + (-2)\/6. Sort 2, t, v in descending order.\nAnswer: 2, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 41, 9, -47, -133, -255, -419?\n\"Answer: -r**3 - 3*r**2 + 2*r + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3843 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-2 + -1 + 3). Let m be ((1 - 0) + b)*1. Suppose -4*f + 411 = 5*i - 91, m = f - 4*i - 115. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 + 31*k. Let o be (-9)\/5 + 2 + 728\/(-65). Let m(l) = -14*l**2 + 155*l. Let r(p) = o*j(p) + 2*m(p). Find the second derivative of r(c) wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53639688 divided by -155028?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4511?\nAnswer: 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -4654*l**3\/3 + l**2 - 228*l + 370. Find the second derivative of h(y) wrt y.\nAnswer: -9308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41219325 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251260353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1990551, 3981103, 5971655, 7962207?\nAnswer: 9952759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z - 9. Does 17 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624672336 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o + 0*o**4 - 1\/60*o**5 + 0*o**3 - 2*o**2 + 0. Factor l(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*a**2 + 2)*((-a + 2*a + 0*a)*(0 + 0 - 1) + 509*a + 529*a - 133*a + (2*a - a - 4*a)*(2 - 1 + 1)) as w*a**2 + c*a**3 + o*a + j and give c.\nAnswer: -1796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -497902*g. Let c(j) = -j**2. Give q(c(x)).\nAnswer: 497902*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4215999361?\nAnswer: 7, 602285623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -9*z - 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44304 and 10192?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k - 4*k = -7*k - 154 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) -1\/3 (c) -1016 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -764 - 235320?\nAnswer: -236184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 339*i**4 - 29*i - 19835 wrt i?\nAnswer: 1356*i**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 36*d**2 - 118*d + 96. What is c(39)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 1, b: 2, i: 1, a: 2}. What is prob of picking 2 o and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 2 + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaiijkyykjaviik. What is prob of sequence kjja?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2918, -0.01, 2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 2. Let l be q(0). Suppose -6*x + v = -l*x + 4, -2*x - 12 = -3*v. Suppose x = -3*f - 7 + 46. What is the remainder when 75 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254 - 3446. Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -671*a**8\/84 + 2239*a**5\/60 - 26*a**2 + 7*a. What is the third derivative of j(h) wrt h?\nAnswer: -161040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**5\/9 - 16*a**4\/9 + 44*a**3\/9 + 104*a**2\/9 - 112*a\/9 - 160\/9 = 0.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5)*-5*-1 - (sqrt(180)*-2*1)**2.\nAnswer: -720 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/7 + 444*q**2\/7 - 4258*q\/7 + 3816\/7 = 0.\nAnswer: 1, 9, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8762850 divided by -4\nAnswer: 4381425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 - 115066793*i**3 - 4722*i - 11950 wrt i?\nAnswer: 20*i**3 - 690400758*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*c**2 + 13*c**2 + c**3 + 4 + 12*c**2 + 4*c**2 in the form r*c**3 + k*c + u*c**2 + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 26. Let l be b(-13). Suppose -5*y = 4*f - l, y - 5 = 5*f + 3*y. Let n(z) = 2*z**2 - 3. Let s(i) = 5*i**2 - 10. Give f*s(q) + 10*n(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447 + 447 - 8*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 158*d - 2527. Determine u(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4\/7 - 2932*c**3\/7 + 544520*c**2\/7 - 376064*c - 454272 = 0.\nAnswer: -1, 6, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 0.2, -0.4, -251104.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1736*a*u**2 - 756*u**2 wrt a?\nAnswer: -1736*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 298, 602, 908, 1216?\n\"Answer: u**2 + 301*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42966 = -11*o + 9*o - 6*h, o + 5*h - 21483 = 0. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1364 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -519577800 to the nearest 1000000.\nAnswer: -520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + -101 + 93. Suppose -115*n + 119*n = -16. Sort n, i, -5.\nAnswer: i, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 497 + -495. Suppose 5*a - 881 = -17*t + 16*t, 4*a = u*t - 1762. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 452 + -58633?\nAnswer: -58181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, e: 9}. What is prob of sequence em?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 - 610 = 8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 - ((3 - -13) + (-44 - -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*g + 17, 2*k + 2*k - 3*g - 8 = 0. Let q be (1 - 1)\/1 - k. Does 19 divide (-2)\/2 - (-58)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25599321 and 341324280.\nAnswer: 1023972840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 11 = 3*j, -5*l = -5*j - 0*l - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1 (c) 0.04 (d) 0.0945\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4758579 nanograms?\nAnswer: 0.0000000004758579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 + 2*t + 1. Let z be p(-1). Suppose 26 = z*f + 2*h - 36, f - 17 = -5*h. Solve 0 = v - 5*y - 12, y - f = 6*v - v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 31 + 40 - 108*t + 2*t**2 + 39 - 4*t**2 = 0?\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -0.205\nAnswer: -6.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 9*h**3 - 257*h**2 + 2745*h - 6800.\nAnswer: (h - 16)*(h - 5)**2*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 568\/(-12) + 1 + 2\/(-3). Let g = i + 50. Suppose g*a - 49 = 83. What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = 3. Let s = 340 + -344. What is the smallest common multiple of 14 and 14*(8 + x + s)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 1. Let c = 7 + -4. Suppose -z - 3*u = -7, 5*z + c*u - 17 = -6. Let q(m) = -8*m + 6. Calculate z*q(w) - 6*v(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = -4*p + 14*g + 16, 2*g - 4 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-seven halves of a millennium?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 4*k - 1\/168*k**7 + 0*k**2 + 0*k**4 + 0*k**3 - 1\/20*k**5 + 1\/30*k**6 + 0. Find z, given that i(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126256 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/114)\/((-4)\/6).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43, 2, 1\/104?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (-12 - (10 + -25))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2821\/49 - ((-30)\/(-14))\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:59 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.5264 - -0.4736. What is the fourth smallest value in 1\/5, f, 5, 2, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130 (base 6) to base 5.\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 2, -2\/13, 452, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23469.369 hours to weeks.\nAnswer: 139.698625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1550626198 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26612 is divided by 4891.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(252)*-2 - (5 + sqrt(252) + 0 + sqrt(252) + sqrt(252)) - (-1 + (sqrt(252) - 4*(sqrt(252) + -2))))**2.\nAnswer: 240*sqrt(7) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 > 1958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -707839, -707752, -707609, -707410?\n\"Answer: 28*v**2 + 3*v - 707870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 7*r**2 + r - 6. Suppose 2*m + 3 = -t + 2, -3*m = -2*t + 26. Let u be l(t). Suppose -x - u = -2. Which is bigger: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*o - 449*o + 85*o**2 + 230*o in the form i*o + d + f*o**2 and give f.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, p: 1, l: 3, f: 9}. Give prob of picking 1 f, 1 c, and 1 l.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5 - -3369?\nAnswer: 3354.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(572)*-1*3)\/(-2*sqrt(891) + sqrt(44)*5))**2.\nAnswer: 1053\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (4480\/(-48))\/20*9\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 252.26857.\nAnswer: -251.96857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 6*c**2 - 6*c + 4. Let s be i(-7). Let m = -2 - s. Suppose m = d - 1. Solve -d*r + 8 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/((77\/(-21))\/(-11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:30 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 3*k**2\/2 - 2*k + 2. Let n = -3 + 5. Let h be i(n). Solve -4 = h*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041110 (base 6) in base 12?\nAnswer: 26196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 + t - 1. Let g be k(1). Let s(o) = -o**3 - 4*o**2 + 4. Is s(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 549377 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p\/(p\/(p*(p\/(((((p\/p**(-8\/3))\/p)\/p)\/p*p)\/p))\/p))))\/p*p**32*p*p assuming p is positive.\nAnswer: p**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17276*c + 17277*c - 4*d + 272 = 0, 5*d = -2*c + 327 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 1:50 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 140?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*r + 5 + 9*r - 2)*(4 - 4 + 2)*(0 + 1 - 2) to k*r + u and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-70) - (-132)\/15) + -6.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143136 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1539) + sqrt(1539) + sqrt(1539)*-2 + 4 + sqrt(1539))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h**2 + 1100*h + 3 - 3 - 1100*h.\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(171) - sqrt(171))\/(sqrt(18)\/(sqrt(6)\/sqrt(3))).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -18*u**5\/5 - 402*u**4\/5 - 430*u**3 - 2022*u**2\/5 + 8888*u\/5 + 2904 = 0.\nAnswer: -15, -11\/3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 95*i + 399. Let p be g(-27). Solve -4*a - 2*j = 26, 4*j + p = -3*a + j for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1103 + 8*q + 1101 - 2218 as a*q + k and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 9:47 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.12758129 to 3 dps.\nAnswer: -6.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 times -1255?\nAnswer: -1216095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**2 + 1. Let d be k(-1). Differentiate -7*a**3 - 20*a + 20*a + d wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q - 1. Let b be v(0). Let y = -1 + b. Does 3 divide -17*(-1 - 2 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41053293163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from 635339179.3116.\nAnswer: 635339178.2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2608, 2791, 2974?\nAnswer: 3157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.41 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 81cb3e9?\nAnswer: -81cb3e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*x - 25, 23*x - 18*x = 3*r + 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -1. Suppose -14 = -5*d - 4*c, -28 = -4*d + c - 0*c. Let w be (-1 + 10\/s)*d. Sort w, -2, -5.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:15 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -26 (b) -24\/137 (c) 4 (d) 6\/5 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhqpqqqqpqqqqq. What is prob of picking 1 p and 1 h?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5850221287 to the power of 1\/2, to the nearest integer?\nAnswer: 76487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + 0.06. Let l = 3316.07 + -3299. Let i = -17 + l. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1056, 1134, 1212, 1290?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1247810 - 1247810. Let u(i) = -11*i + 39. Calculate u(t(w)).\nAnswer: 11*w + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2962 + 2962 + 2313*s)*(0 + 1 - 5) to the form p*s + l and give p.\nAnswer: -9252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16004615 + -416?\nAnswer: 16004166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1519 and 9667133.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/2 - 2)\/(4\/24). Let d = k + -62. Suppose -25 = -5*g + 5*r, -4*g + 0*g = 5*r + d. Solve 0*b - 12 = b + 2*f, -g*b - f = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 + 872*z + 870 = 0. What is z?\nAnswer: -435, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15253 + 917. What are the prime factors of u?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.656754 nanoseconds to minutes.\nAnswer: 0.0000000001109459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 1. Let z be (-6 + (-18)\/(-4))*(1 - -1). Let t(j) = -2*j - 1. Calculate z*t(g) - 4*o(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)*(r**(-2\/7)*r)\/r*(r**(-2)\/r*r*r)\/r*r\/((r*r**(-2\/19)*r)\/r)*r*r*((r**(-1\/4)\/r)\/r**(1\/3))**(-49) assuming r is positive.\nAnswer: r**(115555\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -20 (b) 818 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -517, -698, -875, -1042, -1193?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/((-965447)\/244))\/((-3)\/21)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 15*q - 11. Suppose -s + 2*d + 1 = -d, 5*s - d = 61. Let x be i(s). Solve 5*l - x = 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 7301.\nAnswer: 146020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 28 = 2*y. Let z = 15 + y. Suppose f = -1 - z. Is f greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 12 = -4*g, g = -3074*r + 3078*r + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*g + 19770. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 40\/(-1000)*725?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4 + 4 - 255779*r + 255776*r. Let u(i) = -2*i**2 - 10*i. What is b(u(v))?\nAnswer: 6*v**2 + 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.482 + -0.018. What is the nearest to -0.08 in 2, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y - 60. What is the greatest common divisor of 42 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**3*x + 18*p**3*z**2 - 25*p**2*x - 5*p*x*z - 2*p*x + 2*p*z**2 wrt z.\nAnswer: 36*p**3*z - 5*p*x + 4*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*i = -25, -3*g - 3*i + 15 = -0*i. Let y = -613 + 631. Let p be (-7 - (-114)\/y)\/(6\/(-9)). Solve -j - p = -g*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 936.6 - 936.6. Let o = -16 - -15.7. Which is the nearest to 0.2? (a) -0.4 (b) o (c) f (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13310 or 106491\/8?\nAnswer: 13310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 660 = 109*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -967\/23 + 42. Let h = 51 - 152\/3. Are t and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 - 3504*j**3 - 1151*j**2 - 700*j - 1937 wrt j.\nAnswer: 24*j**2 - 21024*j - 2302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59709*i + 896 = -59693*i. What is the greatest common divisor of i and 13468?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 21*h + 2 to the form l*h + k and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.217 times 2\nAnswer: -0.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 302. Let n(p) = 12*p + 907. Let k(c) = 19*l(c) - 6*n(c). Calculate the lowest common multiple of k(-4) and 10.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84320386.\nAnswer: 2, 773, 54541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-232)\/(-29) - (-62)\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20243 + -1477754\/73. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1105879, 4423511, 9952897, 17694037, 27646931, 39811579, 54187981?\nAnswer: 70776137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28 + (-2 - -2)\/(-1). Suppose -r = -2*g - 2*g. Suppose 52 - g = 5*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317878637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2522 + -16?\nAnswer: 2508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -7. Let u = -132 - -207. Let o be u\/27 + -3 - (-74)\/90. What is the nearest to 2\/5 in v, o, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 6*j**2 + 10*j - 8. Calculate the remainder when h(6) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 99. Let f = 41.9991 - z. What is f rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 22253.\nAnswer: 22252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 0 + 0 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69271.\nAnswer: 53, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/801 and -68\/1869.\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*n + 6 = -0*y, 0 = -5*n + 25. Suppose k = y*k - 54. Calculate the greatest common divisor of k and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584070493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 295579878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3997536 divided by 166564?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 38. What is the least common multiple of 12 and (56\/10 - -4) + 3\/r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.06 - -0.06. Let s = o + 11. What is the second smallest value in -3, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3051 and 5630112.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 + 219. Solve 3*u = 4*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 5*l**2 + 4*l + 4. Let c be g(-4). Solve -c*v + 19 - 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 3*h**3 + 13*h**2 + 7*h**2 - 21*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -13. Solve -5*i + 28 - x = 5*h, -5*h + 3*i + 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91 - 3*r**4 + 91 + (-48124 + 48124 - 388*r**3)*(-2*r + 4*r + 0*r).\nAnswer: -779*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1380246354*r**2 - 1152175263 with respect to r.\nAnswer: -2760492708*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*j + 444 + 324 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 3*r**5\/20 + r**3 + 8*r. What is the second derivative of t(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (82\/(-123))\/(-3 + (-58)\/(-18)). Sort m, 3, 0, -10, 5 in decreasing order.\nAnswer: 5, 3, 0, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c\/(c*c*((c**(-2)\/c)\/c*c)\/c*c))*c**11*(c\/(c*c**(-7)*c))\/(((((c*c*(c\/c**8*c)\/c*c)\/c)\/c)\/c*c)\/c) assuming c is positive.\nAnswer: c**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21333 (base 5) to base 14.\nAnswer: -76c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 789579 and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**25)\/c**(4\/11) assuming c is positive.\nAnswer: c**(282\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675354.\nAnswer: 2, 3, 112559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 398 - dc0?\nAnswer: -a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*z**2 + 2*z**3 + 145*z**2 - 6 + 43*z**4 + 0 + 7 to the form m*z**2 + o*z + p + n*z**4 + x*z**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/8 or -312?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-3)\/sqrt(8) - 1*sqrt(3)*2)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**3 + 21*h**3 + 76*h**3 + 17*h**3 - 142*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 44586 (b) -2 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/144 and 67\/2952.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 583*o = -8739, -3*m + 4*o + 69 = 123 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7.4 (b) 0.075 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8384, 8409, 8448, 8501, 8568, 8649?\n\"Answer: 7*f**2 + 4*f + 8373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5456, 5137, 4818, 4499, 4180, 3861?\n\"Answer: -319*g + 5775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**4\/4 + 4*b**3\/3 + b**2 + 1. Let i be s(-3). Solve 0 = i*r - 8 - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-16))\/(((-10)\/3)\/(104\/117))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cci when three letters picked without replacement from kikckkkkckkckkkcccck.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-10))\/(249\/830)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.81564748 rounded to three decimal places?\nAnswer: -2.816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4 = -d, -w - 5*d = -9 + 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -11. Let q(b) = -2*b**2 - 3*b. What is q(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -11*z**3 + 2*z - 3. Let d(p) = 13*p**3 + p**2 - 3*p + 4. What is 2*d(m) + 3*i(m)?\nAnswer: -7*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/2)\/((-333)\/1480*20)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l**3\/4 - 1551*l**2\/2 + 2469*l\/4 + 309\/2 = 0.\nAnswer: -1\/5, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 3*q)*(-3*q**3 - 30*q**3 - 27*q**3).\nAnswer: -180*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 334, -3, 1\/50, 5?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jju when three letters picked without replacement from uujjjuuujrfjuu?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from iikiki.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(1\/3))\/s)**32*s**(-1\/3)*s*s**5)\/((s**(-1))**21\/(s\/s**(-2\/5))**(-39)) assuming s is positive.\nAnswer: s**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t = -5*l - 41*t - 5, 2*l - 3*t - 2 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225 a factor of 1302606150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368761 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-21 + 0)) + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let p = c - 1. Let r = 4 - p. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 1\/(117\/2369). Let i = 230\/9 - a. Let x be -5 + (-13 - 120\/(-6)). Is i >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251792845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/9 + 20*r**4\/3 + 214*r**3\/9 - 1316*r**2\/3 - 24*r + 432 = 0. Calculate r.\nAnswer: -18, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 6*u**2 + 15*u - 52. Let x be z(3). Sort 3, x, 12, -1, 2.\nAnswer: x, -1, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 525\/(-5))*(12 + 686\/(-56))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**8\/280 - a**7\/60 - a**6\/36 - a**5\/60 - a**3\/3 - a. Let b(f) be the second derivative of h(f). Factor b(c).\nAnswer: -2*c*(c + 1)**2*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 - -3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 9 + 9*c**2 + 2*c**2 + 13 to the form x*c**2 + j*c + u and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 3*u + 4*j + 24, 3*u + 4*j - 4 = 0. Suppose 2*l - a + 4 = 0, -u*l + a = l + 7. Is -2 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9 - 18*w**4 + (w - 5*w**2 - w)*(0*w**2 - 3*w**2 + 4*w**2) + 6*w - 4*w + 2*w**4 + 3*w to the form c*w**2 + h + x*w + z*w**4 + n*w**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -97. What is the third biggest value in -0.5, g, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245 + 2*b - 245.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(57)\/sqrt(3))**2 + sqrt(19) - (sqrt(475) + -3).\nAnswer: -4*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11482, -22874, -34172, -45376, -56486, -67502, -78424?\nAnswer: -89252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*c - 1308, 3*j + 1098 - 108 = 3*c. Let r = -258 + c. Is r != 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 9330618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 n when three letters picked without replacement from {h: 3, a: 1, n: 2, f: 1, b: 4, g: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d436 + 2?\nAnswer: 1d438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/(-60))\/((-2)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*u + 69*u + 70*u**2 + (2*u - 3*u - 2*u)*(u + 0*u - 3*u).\nAnswer: 76*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*n = 0, 3*p + 2*p + 3*n = 0. Let r = -8 + 13. Let o = -6 + r. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 19188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042254 to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11728?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*u + 6, -d = 3*d - 5*u - 5. Suppose -2*v + 4*p + 6 = 0, d*v - 3*v = 5*p + 6. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*i = 21239, 10*i - 11*i = -5*a + 21251. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 380 - 201. What is the least common multiple of c and 2?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.8 + 158.1. Let v = 142 - m. Which is the second biggest value? (a) v (b) -2\/19 (c) 0.009 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643743561.\nAnswer: 3, 163, 293, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (8 - (-29 - -6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 14) to base 3\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 23. Suppose 5*j + 3*y - 331 = 0, -125*j - 2*y + 134 = -123*j. Let d = u + j. What is the lowest common multiple of 4 and d?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10311262 and 3952.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92.0744 - -92. Let o = -0.2466 + k. Let r = 0.065 + o. Round r to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8964068 to the nearest integer?\nAnswer: 2994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/60 - i**5\/12 - i**4\/12 - 28*i**2. Determine o so that n(o) = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*v - 12 - 14, -2*v = 3*r + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*u + 716*u - 191*u - 195*u + 1 - 174*u.\nAnswer: -58*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10783 (base 10) in base 15?\nAnswer: -32dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 276845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2956 divided by -3.\nAnswer: -2956\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 574*v**2 - 3*v. Suppose -22*n - 9 = -18*n - x, 5*x = 5*n + 15. Is l(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25347258 is divided by 691.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c + 1003 - 832 = -932 - 925 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 9*w**2 - 8*w - 1. Let j be l(8). Let h be 7 - 2\/4*6. Let z(b) = -b**2 + b + 1. Let t(n) = -5*n**2 + 5*n + 3. What is h*z(a) + j*t(a)?\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -48. Put 4, 9, x in increasing order.\nAnswer: 4, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11202011 + 1111221202?\nAnswer: 1200200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13 = -3*u, -u = -h + 9 - 0. Let v be -1 - u\/6*6. Sort -2, -3, v.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -4*y**3\/3 - 29*y. Let s(l) be the second derivative of -l**4\/6 - 2*l - 12. Give z(s(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1479)\/(-1653)*10\/(-85).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63292 - 51359 - 96800 - 370685 = 3559*q for q.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49008029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622810026?\nAnswer: 2, 3, 31, 372049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q**2 + 112774990*q - 75183320 = 0. Calculate q.\nAnswer: 2\/3, 7518332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 177a (base 13) in base 12?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -14. Let n = -0.05 - -5.05. What is the nearest to 0 in 2\/3, n, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 364, 18, 0, -4.\nAnswer: -4, 0, 2, 3, 18, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33867 = -884*c - 267*c - 10847 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 + 2*y - 15. Let k be b(-6). Suppose -2840 - 2947 = -k*g. Let f = g + -379. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 12:04 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 614*k - 451*k + 109 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 3*x - 5*s - 10, 8*x - 3*s + 432 = 25*x + 4*s for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, i: 2, r: 7, d: 3}. What is prob of picking 1 d, 1 i, and 1 m?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1524)\/(-168) + ((-32)\/7 - -4). Let y(w) be the second derivative of 0*w**3 + q*w**2 - w**4 + 0 + 17*w. What is the first derivative of y(c) wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36317, -37192, -38639, -40658?\nAnswer: -43249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33302 + -24883. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1805*y + 12627. Determine x(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 - 97. Let b(a) = a**3 - 19*a**2 + 39*a - 1. Does 21 divide b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-6)\/(-4))*(-8 + 14). Solve 4*c - 24 = -s, -w*c + 5*c + s - 14 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 71, 113, 157, 203, 251, 301?\n\"Answer: o**2 + 37*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 840038.4 hours?\nAnswer: 3024138240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 7*j**2 - 7*j - 7*j**3 - 4*j. Let l(o) = o**3 - o**2 + 3*o - 2. Let w be l(2). Let k be c(w). Round k to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 22. Let s be r(7). Sort 13, s, 5, 4 in descending order.\nAnswer: 13, 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, r: 4, w: 3, y: 6}. Give prob of picking 1 n and 1 w.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 13*q - 17*q - 6 = 0, 5*q = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose j + b*j = 20. Let t = 29 - j. Solve z = 4*z + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-340 - -330) + (550 - (-3 + 0)). Solve 544*d = n*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22578403\/20 - 105867911\/90. Let g = -47386 - l. Let x = -2569\/180 + g. What is the common denominator of x and -29\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 182, 1\/16, 3, -360 in increasing order.\nAnswer: -360, -2, 1\/16, 3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 62*g**3 + 5*g + 3 + 5*g**3 + 5*g.\nAnswer: -57*g**3 + 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-4) - (-3308 - 53). What is the greatest common factor of k and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - v + (-1 + v + 1)*(19 - 2 + 6)*(-1 + 4 - 4) to the form t + p*v and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 44896*b\/5 + 6167082.\nAnswer: -2*(b - 23115)*(b + 667)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 3*d + 2. Let r be g(-2). Suppose -t = -4*c - r, 3*t - c = 2 + 12. Suppose t*h = 68 + 76. Solve -4*f = 4*a + h, a = 6*f - f + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - 5*z + 5*z - z**2 + 2*z**2 + z**2 + (0 + 4 - 2)*(921*z**2 - 51351 + 51351) + (3 - 5 + 1)*(2*z**2 + 1 - 1) as x*z**2 + g + i*z and give x.\nAnswer: 1838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -107173652?\nAnswer: 107173645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179638 is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + sqrt(1700)*1 - (sqrt(1700) - (4 + 1 + sqrt(1700))))**2 + 1).\nAnswer: -8685 - 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -3. Let d(f) = -34*f + 19*f + 7*f + 13 + 12*f. Let u be d(j). What is the closest to -0.1 in 3, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -74229, -296523, -667013, -1185699, -1852581?\n\"Answer: -74098*x**2 - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/728723 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 3*f - 4. Suppose 34 + 18 = 4*x. Calculate the remainder when p(-3) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -56.015. Let g = y - -0.125. Which is the nearest to 1\/4? (a) -2 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 10 = -7*o. Let r = o + 14. Calculate the greatest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 829350931.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w**(-1\/8))**7 assuming w is positive.\nAnswer: w**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*n + 37*n + 27*n + 29*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(88)\/sqrt(2))**2 - (-1*sqrt(121)*5 + sqrt(121))\/sqrt(11).\nAnswer: 4*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -4*a + 96. Suppose a = -23*g + 8164 + 9500. 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: Let y(k) be the second derivative of k**5\/20 - 13*k**4\/12 + 2*k**2 + 746*k - 1. Give y(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/44*-13*(-6)\/(-156)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -18. Let y be 3\/((-18)\/8*32\/s). Find x such that -32\/11*x**3 + 32\/11*x + 14\/11*x**4 - 8\/11 - 6\/11*x**y = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 0.5, 50\/7, 219?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n - 1. Let k(b) = b**3 - 4*b**2 + 5*b - 5. Let p(v) = v**3 + v**2 + v - 1. Let f(r) = k(r) + p(r). Calculate -6*d(y) + f(y).\nAnswer: -4*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -61. Suppose 3*p - 54 = -4*m, 2*m + 3*p - 5 = g. Calculate the lowest common multiple of m and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 3*f**2 + f**2)*(326*f + 914*f - 7021*f + (3*f + f - 6*f)*(-4 + 5 + 1) + 2 - 2 - f).\nAnswer: 11572*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - 4*r**2 - r**2)*(-74957*r + 22974*r - 51702*r + 27 + 10355*r - 27) to q*r**2 + v*r**3 + g + p*r and give v.\nAnswer: 186660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640)*4)\/(sqrt(768)*-3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 504 = s, 3*h + 3*s = -h - 1004. Is h\/((5\/(-10))\/((-13)\/(-4))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upu when three letters picked without replacement from kuuzupzukz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*j**3 - 60605*j**2 + 11241*j + 125 wrt j.\nAnswer: -612*j - 121210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35bb529 (base 12) in base 8?\nAnswer: 47672061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 19 + 195 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 4*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tktttikk. Give prob of picking 3 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 358\/(-9) + (-10)\/45. What is the common denominator of 123\/10 and -2*10\/h - 3\/(-176)?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -814.1 - -814. Let q = -44 + 306\/7. Which is the closest to k? (a) q (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a - 86. Let b be d(-11). Solve 0 = 5*v - o + 13 + 9, 2*o = b*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 34*u - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -30*2*783\/(-36)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 7130*w\/11 + 2054488\/11.\nAnswer: -2*(w - 3833)*(w + 268)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + 874. Let y = u - 668. What is the least common multiple of y and 4?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 - -294.8. What is the nearest to -2 in 0.2, 13, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 132, 217, 322, 453, 616?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -142079\/13 equal to -10928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*v + 7076 = 0, 3*f = 3*v - 2011 - 2213. Let o = 847 + f. What is o rounded to the nearest 10?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -881 - -14981\/17. Let b = n - -1881\/170. Let x = -1242\/25 + 1949\/50. Calculate the common denominator of x and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + 781519*x**3 + 5563302*x.\nAnswer: -12*x**2 + 4689114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/3)\/p*p)\/(p**(-10)\/p))\/(p**(-9\/2))**(-12\/11) assuming p is positive.\nAnswer: p**(223\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 7*v + 11. Let r be y(6). Let f(k) = 3*k + 7*k + 6*k**3 - r*k - 2 + 7. Let j(m) = 5*m**3 + 4*m + 4. Let u = 0 + 4. Calculate u*f(n) - 5*j(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**7\/140 + t**6\/240 + t**5\/60 - 22*t**2. Factor b(k).\nAnswer: -k**2*(k - 1)*(3*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261 + 326 + 2*l**2 + 1330.\nAnswer: 2*l**2 + 1917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.5 minus -212206?\nAnswer: 213099.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10+-0.7338\nAnswer: 9.2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*w + 228, 2*w - 4*w = 4*g - 186. Suppose -64 = 4*v - 5*o, o = 3*v + 3*o + g. Let b = v + 36. Solve 0 = h + 3*h + b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 261\/(-58)*2\/(-18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -4.\nAnswer: -4, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6491859 by 4.\nAnswer: -6491859\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Suppose -4*z + 17 = -15. Suppose -z = 3*p - 23. Sort p, 0.2, n.\nAnswer: 0.2, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*o - 5. Suppose 4*h = 25*s - 24*s + 17, 5*s + 10 = -5*h. Suppose -h*m - 8 = -o*m. Solve -5*y - 5*r = 30, -m*y + 2*r = 3*r + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 492\/6232*((-104)\/364)\/((-3)\/(-7))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -3, -6, -0.16, -1\/6, 3.6, 0.16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/2885982 and -87\/3847976?\nAnswer: 11543928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 59 * -518\nAnswer: -30562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 35. Let f(d) = d**3 + 12*d**2 + 9*d. Let u be f(-11). List the prime factors of w(u).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 67. What is the fourth smallest value in -3, -2\/19, -0.7, u, -7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-152))\/(176\/192)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -88. Calculate the lowest common multiple of o and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9350, -18650, -27950, -37250, -46550, -55850?\nAnswer: -65150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5597, -22483, -50635, -90053, -140737, -202687?\n\"Answer: -5633*s**2 + 13*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -329*j**4\/24 - 271*j**3\/6 + 4*j**2 - 3*j. Find the first derivative of a(l) wrt l.\nAnswer: -329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 9*t**2 + 14*t + 8. Suppose -5*r + 47 = -3*q, 4*q + 22 = r - 1. Suppose -93 + 142 = r*z. Give y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 11, 0.4, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**3\/3 + 9*a**2\/2 + 5*a + 4. Let c be g(9). Determine f so that -9 + 1 - 2*f**3 + 8 + f**c + f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-10)*((-990)\/504)\/(6\/(-42))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2\/21 (b) 2 (c) 280591 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 2*c + 2. Let s be k(-3). Suppose 5*i - 20 = -s. Suppose -6*h + i = -45. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -16278.\nAnswer: 293004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((2 - 3) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/608?\nAnswer: 1\/608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -122. Let j = p - 115.898. What is j rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80145 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 x = -105 - -471. Let z = 366 - x. What is the closest to 2 in 0.1, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-10))\/(((-6624)\/1725)\/(-48)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -0.6, -1\/5 in ascending order.\nAnswer: -11, -0.6, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w + 3*u, -6 - 3 = 3*u. Suppose 0 = w*j - 5*d - 73, -d = 4*j - 33 - 49. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) -3 (c) -1\/4 (d) 0.1 (e) -0.2 (f) 0.4 (g) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 3 (c) -4 (d) -29\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98788 is divided by 98760?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3767048533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 85*v + 431. Let c be q(-5). Let f be -10*-2*(-1)\/(-4). Suppose -53 = f*z - 263. Calculate the highest common factor of z and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2317*a**3 - 160192 + 160192.\nAnswer: 2317*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74932829*g**5 - 3*g**4 - 483792303*g**2 wrt g?\nAnswer: 4495969740*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 4) to base 8.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeejyjyijiiyifejie. What is prob of sequence ez?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 0 + 22 + -33\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316 + -201. Calculate the lowest common multiple of t and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f**1)\/f))**24)**(3\/4))**12 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6280 - -169528\/27. Is -1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8146? (a) -2 (b) -5 (c) -4.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*x = 2*x + 8, -5*x = -2*r + 10. Suppose r = -3*n + 2*n + 21. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177253 - -224402185\/1266. Calculate the common denominator of z and -187\/60.\nAnswer: 12660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 216 - 129. Let y = w + -72. What is the remainder when 27 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 2, c: 1, p: 3, u: 1, f: 1}. What is prob of sequence pfp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1394 and 5151.\nAnswer: 422382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5)*y)**(-43)*(y**(-1))**16)**29 assuming y is positive.\nAnswer: y**(-12296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1397001 and 3.3.\nAnswer: 1397004.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4)*0 - -2. What is the common denominator of (-7)\/(-2)*(3 - c) and ((-46)\/(-6))\/(2*-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14046?\nAnswer: 2, 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w, 3*h + 3*w - 20 = h. Suppose 0 = -p - 2*p + 147. What is the greatest common factor of p and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p + 1274 + 618 = -68*p. What is the highest common divisor of 2150 and p?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s + 6. Let l(m) = 6*m - 7. Let o(f) = 6*l(f) + 7*r(f). Let c(y) = y**3 - 11*y**2 + 11*y - 4. Let n be c(10). What is the units digit of o(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 258587993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9853 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2990050692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024 = -10*q + 2*q. Let o = -71 - q. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*f - 12, -5*f + 5*r - 15 = -0*f. Suppose -y - 2*y + 33 = f. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194233 and 139152.\nAnswer: 9323184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 + 0.06. Let j be -2*1 + (-30)\/(-14). Let q = 27 - 22. What is the nearest to -2\/5 in j, q, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527 = -9*l + 554. Let u(a) = -4 - 8*a**2 + 9*a**2 - 34*a + 34*a. Give u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -3\/7, -7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -560*d**3 - 6*d**2 - 9*d - 3. Let s be f(-1). Let x = 3 - 0. Suppose -s = -x*u - 7*u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92471480 and 121673.\nAnswer: 92471480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1075 and 492496.\nAnswer: 492496.1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2506)\/(-3))\/((-4)\/(-198)) - (-6)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/70*(3424\/(-176) + (-24)\/44)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -6*r + 4*r, 4*r = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047*f**2 - 13*f - 1 + 13*f - 1047*f**2 - 2358*f**3.\nAnswer: -2358*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 140b27 + d?\nAnswer: 140b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4 - 3*n**2 - 16*n**2 - n**3 - n**2 - 1 - 18*n. What is p(-19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 8*p - p)*(-130*p**2 + 25*p + 40*p + 2 - 63*p) in the form v*p**2 + j*p + g + q*p**3 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.7009 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3509\/492 - -2\/41. Find the common denominator of m and ((-155)\/(-25))\/(12\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 130 + 20*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42495.\nAnswer: 3, 5, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, -246, 0.2 in increasing order.\nAnswer: -246, -2.6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from pphphvt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -434*q**3*v**2 - 82072*q**3*z + 795*q**3 - 3*q**2*v**2 + q*v**2*z + q*v*z - v*z with respect to z.\nAnswer: -82072*q**3 + q*v**2 + q*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486400 and 60800.\nAnswer: 486400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 37*k**2. Let w be u(-1). Let f = w - -6. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.85 + -167.15. Let x = d - -168. Sort -25\/2, 0.5, x in decreasing order.\nAnswer: 0.5, x, -25\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 4 - (2\/(-6))\/((-12)\/(-72)). Let o be (-6)\/(-1 + 1 - 2). Solve -o*v - 9 = -2*f, -14 = -2*v + 7*v - b*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.049213 decades in years?\nAnswer: 30.49213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/((-44)\/19600) + 0. Round i to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 18*f - 596. Let a be o(33). Let p be (1\/(-2))\/((-1)\/(-154)). Put 0, a, p in decreasing order.\nAnswer: 0, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3465 and 1161237.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddbbnyd. What is prob of picking 1 y, 1 b, and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvaavavaaaa. What is prob of sequence avva?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l. Let r(f) = f. Let m(w) = 80*w - 40. Let g be m(1). Determine g*r(n) + 4*y(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 56469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*n + 88579, 22159 = 3*f - 2*f - 4*n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n + 1. Suppose 13*r - 3765 + 3687 = 0. What is the lowest common multiple of r and b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/2 (b) -29 (c) 9\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 42528*w - 42531*w - 58 = 0, -34 = 4*b - 9*w for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (6 - -25 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Let b(p) = -52*p - 5. Let o be b(-2). Let m(n) = -99 + o + n. Give m(l(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -10*s**3 + 8626*s**2 - 189748*s - 77280 = 0.\nAnswer: -2\/5, 23, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*j - 7. Let z(q) = -2*q + 1. Let k be z(-2). Suppose 26 = k*n + 16. Put 1, n, j in decreasing order.\nAnswer: n, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121442 + 121480. Let c = -199 + 310. What is the remainder when c is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 129 = 4*i + h, -4*i + 4*h + 144 = 0. Let r be (-1 - i)*5750\/(-23). Let w be r\/(-15)*6225\/(-1). What is w rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185\/3 - -8662\/141. Let p = 97\/188 - f. What is the second biggest value in p, -0.4, -1, -27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -135, 32, -6, 1 in ascending order.\nAnswer: -135, -6, -1, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22757 - -33229. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -2352, -5318, -9470, -14808, -21332?\nAnswer: -29042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 242. Let r = -75 + f. Suppose 4 = -2*h + r. Solve -17 = m + 4*u - 1, -5*u = m + h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 9 - 9 + 358*d.\nAnswer: 2*d**2 + 358*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 50*l**2. Let w(r) be the second derivative of 0*r**2 + 0 + 13*r - 1\/3*r**3. What is w(s(p))?\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.7 + -20. Which is the nearest to 1? (a) n (b) 2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 28.11. Which is the biggest value? (a) 3 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(88)\/(sqrt(8) + 5*sqrt(32)))**2 + -3 - (((sqrt(99)*-2)\/sqrt(9) - sqrt(11) - sqrt(11)) + sqrt(539) + 0 + 5)).\nAnswer: -3*sqrt(11) - 109\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 14*z**2 + 11*z - 19. Calculate the common denominator of j(-15) and 73\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -118. What is the highest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**2\/2 + 2*h - 1. Let b be c(0). Solve -f - b*f - 7 = -5*a, -f = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -45*l**2. Let n(z) = z**2 + z. Let k(h) = 2*h**2 - 4*h. Let d(p) = k(p) - n(p). Determine d(g(b)).\nAnswer: 2025*b**4 + 225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -14\/9*o**2 + 4\/9*o + 14\/9*o**4 + 0 - 4\/9*o**3 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 3) to base 11.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15724 = 3*p - 15718. Put 4, -4, -2, -16, p in increasing order.\nAnswer: -16, -4, p, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-60)\/(-42))\/5)\/((-2)\/(-14)). Solve -2 = -k*h - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945 = -139*w + 862 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -8*s + 11*s + 24, 9*s + 42 = 2*j. Is -144\/43 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 99*d - 923. Determine b(-8).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31085.\nAnswer: 5, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/143*47*(-47)\/(-4418)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(33)\/(sqrt(88)\/(sqrt(32)\/sqrt(4)))*-4 - (sqrt(240)*-1 - sqrt(15))\/sqrt(5)*-5).\nAnswer: -29*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4471 divided by -7245\nAnswer: 4471\/7245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*n - 426*n = -265*n - 11616 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38\/89 - -2655\/1424. Suppose q = -2*i - 24520, -q + 2*i - 6898 = 17614. Let v = 588493\/24 + q. Find the common denominator of p and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71\/12 + -20\/3. Let j be (-18)\/(-42) + (3144\/63)\/1. Let g = -51 + j. Which is the fourth biggest value? (a) 0.2 (b) -0.04 (c) w (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-13 - (-1 + 1 + 1 + -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 37. Let r be x(14). Let d(w) = 2*w**2 - 3*w - 4. Let y be d(3). What is the highest common factor of y and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3 - (-1 - 2). Differentiate -10*a - a + y + 19*a wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 52 + 16 = 0. Suppose -v*j + 2 = -10. Solve 4*r = 8, q - 5*r + 4 + j = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/(-1)*12. Suppose -i - 248 = -b*i. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 37, -3, -1, 18 in descending order.\nAnswer: 37, 18, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -751 greater than -750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x. Let n be (2\/(-6))\/((-2)\/30). Let i be (27\/45)\/((-1)\/(-5)). Solve -i*b = -n*o + 1 - 12, x = 5*o - b + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from {l: 10, k: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -4*u. Let k(b) = 8*b - 4. Calculate the remainder when k(6) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848113.\nAnswer: 3, 23, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) 1 (c) 93 (d) -2\/19 (e) 3 (f) 86\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.2091?\nAnswer: 1.2546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {i: 1, m: 1, q: 1, u: 1, h: 2, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (12363 - 34*u**2 - 12363)*(-3 + 0 + 2*u - 1) as c*u + w*u**2 + x + a*u**3 and give w.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134575 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 - 2*q**2 + 2*q - 1. Let h be x(1). Suppose -r + 11 = -2*i + 2*r, 4*r - 9 = -h*i. Which is bigger: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x + 1. Let o(f) = f**4 - f**2 - 1. Let u(r) = -c(r) - o(r). What is the second derivative of u(h) wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 361844 and 361845 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114 and 12667.\nAnswer: -1444038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -25, 9306, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124186 is divided by 562039?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83988368, 167976723, 251965064, 335953385, 419941680, 503929943?\nAnswer: 587918168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 679*k + 675*k + 4 = 0, -12 = -3*v - 12*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**4))\/m)\/m)**(-1\/6))**(-4) assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39424*r - 145*r**2 + 39424*r - r**2 - r**2 + 0*r**2 + (0*r + 0*r + r)*(r - r - r) - r**2 + 2*r - 2*r.\nAnswer: -149*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 78 = 2*o, 5*o + 45 = x - 6. Solve 6*q + 3*q - x = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3042 - 3006. Calculate the smallest common multiple of a and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001615351 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 18\/(-4))*28\/42. What is the nearest to 1 in f, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.37 + 6.37. Which is the nearest to -1? (a) -0.2 (b) 0.3 (c) 2\/205 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + (287 - 305).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*2)\/(sqrt(11) - sqrt(66)\/sqrt(54))*-6.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -17\/120*b**5 - 1\/24*b**4 - 28\/3*b**3 + 0*b + 20 + 0*b**2. Let k(z) be the third derivative of l(z). Determine k(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219399467 take away 0.9695?\nAnswer: 219399466.0305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1356*l + 4599*l + 12232*l + 1 - 3 in the form k*l + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 458771923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6454 (base 9) to base 8\nAnswer: -11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172.1 - -172.2. Suppose 0 = -x + 1. Let a be 6\/(-8)*x\/3. What is the nearest to a in r, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29\/5 - -53\/10. Sort -0.23, b, 5 in decreasing order.\nAnswer: 5, -0.23, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310 and 62?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h = -52*h + 585. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-3*(0 - -1)). Suppose 58 - 38 = -h*w. Which is the closest to 2\/7? (a) 2 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 176*n - 44. Let j = -559 - -562. What is the tens digit of b(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18241629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1\/(-8)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 - 195. Suppose -6*s - 2770 = -d*k - 7*s, s + 1101 = 2*k. List the prime factors of k.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2036*(4 + -2)\/(-4). Let x = 2040 + f. Suppose -s + 3*s = -3*l + x, -2581 = -5*s - l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 + -244. Let d(v) = 2*v**3 + 26*v**2 + 8*v + 5. What is the hundreds digit of d(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxexgjhehjhhgexeh. Give prob of sequence hej.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/45738 and 145\/648.\nAnswer: 548856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 324\/45 - (4 + 3\/1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754407000 rounded to the nearest 1000000?\nAnswer: -2754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = -b. Let c(x) = x**3 + 12*x**2 + 10*x - 21. Let l be c(-11). Let y be (48\/20)\/(b\/l). Solve -y = -5*j + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -379, 3, 5 in descending order.\nAnswer: 5, 3, 1, 0, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 163*f**2 + 68*f + 9867. Determine t(-163).\nAnswer: -1217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 3*r - 225 + 76 + 82.\nAnswer: -3*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 6. Let l = x + 2. Solve -2 = l*d + 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 151719871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-5 - (-6 + -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let b(c) = -10*c - 4. Let u(t) = b(t) + g(t). What is the derivative of u(x) wrt x?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -17, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2011002121?\nAnswer: -2011002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00792597 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72023828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 618 - -388. Is 55 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013192987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovd when three letters picked without replacement from {v: 1, d: 1, w: 7, o: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*1\/((-5)\/(-7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11.84, -0.5 in ascending order.\nAnswer: -11.84, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3609144.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {t: 1, m: 1, g: 4, d: 5, i: 2, p: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 3)\/4 + 4. Suppose 3*m + 4*w = 2563, -3411 = -p*m + 3*w - 2*w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (120*t**3 - 945*t**3 + 189*t**3)*(-8*t - 3*t + t) as p*t**3 + f*t**4 + w*t**2 + k + l*t and give f.\nAnswer: 6360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 0*v - 6*v + 2*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23386453 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -2.937.\nAnswer: -0.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000315873 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d. Let f(b) = -4*b**2 + 3*b. Let r(h) = 2*f(h) + 6*p(h). Let v(n) = n. Give v(r(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -364367*s**2 - 689562 wrt s.\nAnswer: -728734*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 5*z + 6. Let x be i(4). What is the tens digit of ((-2)\/(-4) - x)*-12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let y = -6 - -5.6. Let c = -166 + 161. What is the third biggest value in m, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 92 + 62. Let w = -1255 - -1259. Solve -w*j + 2*j - y = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -3 (c) -6\/13 (d) 4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -41, -36, -31, -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -723.5 - -723. Let k = -0.06 - 0.04. What is the closest to k in 8, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 664 and 628456.\nAnswer: 52161848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**(-2\/89)*(r**(-4)*r)\/r*r**7 assuming r is positive.\nAnswer: r**(1331\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35000353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48227245 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18063, -17986, -17909?\nAnswer: -17832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15 - 77\/21*-4803?\nAnswer: 2, 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:19 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3647398 is divided by 1823647.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15506 + -13778. Calculate the greatest common factor of 270 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 89*b - 967. Calculate the remainder when 3734 is divided by r(-14).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7232 by -1808.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 2. Let d(j) = 198. Give d(p) - m(p).\nAnswer: p**2 + 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*sqrt(156))\/(sqrt(12) - (sqrt(1200) - (sqrt(1200) - (sqrt(1200) - sqrt(1200)*2)) - sqrt(1200))).\nAnswer: -10*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*i - 71353, -4*m - 10*i = -8*i - 71358. Find the third derivative of -m*z**3 + 49*z**2 + 2 + 17755*z**3 + 0 wrt z.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20 (b) -2\/365 (c) -315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + 2*v + (1 - v - 1)*(1 - 2 + 0))*(-34 - 74 + 18).\nAnswer: -270*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 28. Let b be ((-24)\/m)\/((-8)\/(-28)). Suppose -j + 13 = a, 3*j + b = 2*a + j. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, h: 3, g: 1, w: 3, p: 5}. Give prob of sequence gph.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(504) + 1*sqrt(504))\/sqrt(8) + -3 + -2 + -2 + sqrt(9072))**2.\nAnswer: -588*sqrt(7) + 12396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1133.966 and 1?\nAnswer: 1134.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.920441 millimeters?\nAnswer: 0.5920441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15015895 divided by -15015895.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**2 - 2. Let b be k(-2). Let q = 78 + b. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 34. Let f be g(15). Let d(t) = t**3 - 11*t**2 + 3*t + 8. Let j be d(f). Let s = -12 + j. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12094 is divided by 4029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4424.165um?\nAnswer: 4.424165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, b: 1, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 - 2246*b\/15 + 4484\/15.\nAnswer: 2*(b - 1121)*(b - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-85.35321\nAnswer: 25.605963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -26*w**4 + 8*w**4 - 51*w**3 + 70*w - 24 + 69*w**2 + 74*w - 84 = 0.\nAnswer: -3, -2, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259805 and 455.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u - 2\/15*u**3 - 5 + 13\/5*u**2. Suppose x(f) = 0. What is f?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6264868\/91 or -68845?\nAnswer: -68845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000088829 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22518527 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1072*b + 9. Let q(t) = 42875*t + 357. Calculate -238*l(u) + 6*q(u).\nAnswer: 2114*u","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2. Let t(z) = z**2 + z + 4. Let c(v) = 76*v**2 + 57*v + 228. Let y(n) = c(n) - 57*t(n). Give g(y(j)).\nAnswer: 1444*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9360*h**4*w**3 + 10290*h**4 + 39*w**3 + w**2 - 31*w + 3196 with respect to h.\nAnswer: 37440*h**3*w**3 + 41160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 385*m**3 + 634*m**2 - 4. Let w(j) = j**3 + 2*j**2 + 1. Let f(c) = o(c) + 4*w(c). Find the third derivative of f(q) wrt q.\nAnswer: 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -236*a + 227*a - 54 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14812 bigger than -1\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16)*b*(b*b**(-8))\/b*b**(4\/21)\/((b\/(b\/(b**25\/b)))\/b))**(5\/11) assuming b is positive.\nAnswer: b**(-4810\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + (sqrt(7) - ((sqrt(7) - (-2 + sqrt(7))) + sqrt(7) + -2) - sqrt(7)))**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmj when three letters picked without replacement from {z: 1, m: 1, u: 6, j: 3, q: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1297615815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20097 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -128, -199, -272, -347, -424?\n\"Answer: -a**2 - 66*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**3 + 3*j**2 + 3*j. Let g(a) = 11*a**3 + 3*a**2 + 4*a. Determine 3*g(q) - 4*i(q).\nAnswer: -15*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**5\/u)*u)\/u**6)\/(u\/(u\/u**(-6))*u**(1\/4)))**(1\/6) assuming u is positive.\nAnswer: u**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11058417?\nAnswer: 3, 67, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 12*f - 9. Let q be d(3). Factor q*p**3 + 0 + 3*p**2 - 3\/2*p - 3*p**4 + 3\/2*p**5.\nAnswer: 3*p*(p - 1)**3*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2038*c + 4001. Determine j(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23249 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191797850?\nAnswer: 2, 5, 3835957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001185282 to 5 dps.\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81295*f**2*i + 11*f**2 + f*i - 33*f - 2408*i - 2 wrt f.\nAnswer: -162590*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/(-6))\/((-234)\/27)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-99))\/((-5)\/(-6))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose -4*h - y*s + 161 - 9 = 0, -2*h + 2*s + 56 = 0. Suppose 2*i - h = i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((10353\/(-234))\/7 + (-220)\/(-1430))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*b + 220. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 205, -14, -4778?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42582.\nAnswer: 2, 3, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 821459977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/70 - -3)*65*(-2)\/(-3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2587, -2581, -2571, -2557, -2539?\n\"Answer: 2*r**2 - 2589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -121 in decreasing order.\nAnswer: 1, -11, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 14*x + 4. Let m(t) = -9*t**2 + t + 1. What is m(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8236, -32952, -74164, -131884, -206124, -296896?\nAnswer: -404212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61334574?\nAnswer: 2, 3, 7, 29803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -350. Is 15\/(-10)*h\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xxsmx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000110110001101010000111 - 1?\nAnswer: -10111000110110001101010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -421*s**2 + 0 + 210*s**2 + 0 + 213*s**2. Let n(l) = 3*l + 649. Determine n(g(m)).\nAnswer: 6*m**2 + 649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 103331020 (base 4) to base 8\nAnswer: 237510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 5*m + 10 = 0, 3*t = 3*m + 15. Suppose t*f - 2*x = 28, 0 = 3*f - 5*x + 6*x - 8. Solve -d + f = 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 3 - -1) + 2. Let l = -5259 + 5254. Put l, -0.3, d, 1\/2 in increasing order.\nAnswer: l, -0.3, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - 87.4. Let p = s + 242. Which is the fourth smallest value? (a) 1 (b) -6 (c) p (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {h: 2, k: 4, d: 4, e: 1, m: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 - -204. Let d be (-4)\/18 + 160\/u. Solve -2*a + 2 = 3*q - 2, 0 = -4*q - 2*a + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011013132 (base 4) in base 15?\nAnswer: -161d74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*a - a - 288, -227 = 3*a + 4*s. Let k = a - -59. Let w = -14 - k. Solve -3*p - y = -w*p + 3, 0 = -y - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1000 and 723500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**3 + o**2 - 4. Let n(f) = -6*f**3 - 3. Let w(i) = -3*c(i) + 4*n(i). Factor w(x).\nAnswer: -3*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425355, 425353, 425351?\nAnswer: 425349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 5. Suppose 0*g = -4*g + 24. Calculate u(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -4 (b) -2 (c) 45 (d) 121 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {k: 1, n: 1, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 20. Let s(o) = -3*o - 17. Calculate the remainder when s(-12) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-603 + 603 + 23*o)*(o - 4*o**2 + 6 - 6) + (3 - 3 - 2*o)*(28 - 29 - o - 2*o**2 + 3*o).\nAnswer: -88*o**3 + 19*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**9\/504 + 3*f**8\/28 + f**5\/30 - 49*f**3\/2 - 132*f**2 + 4*f. Find the third derivative of k(l) wrt l.\nAnswer: 120*l**3 + 2160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4121 (base 5) to base 4\nAnswer: 20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:14 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-46))\/(1\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/87? (a) 1 (b) 167 (c) -4 (d) -3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 15. Sort -5, k, -2 in ascending order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3262 - 3263. What is the nearest to -1 in -7, -3, -2\/37, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 1. Let v be l(-2). Let t(r) = r**2 - r. Let g be t(1). Suppose 5*k + 5*j + 5 = 0, -2*k + 3*j + 11 + 7 = g. Are v and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 1120*y - 108327. Calculate w(107).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-82)\/(-8) - 3\/12 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.52 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15941 is divided by 1978.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/13 (b) -0.3 (c) -0.2 (d) -3 (e) -2\/9 (f) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 less than -200?\nAnswer: -199.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 7*p = -3*z - 5, -5 = -z + p. Let u = -0.13 + -6.87. What is the second biggest value in -0.1, u, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 80.40682 years?\nAnswer: 0.08040682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17740826 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/17139 and -109\/127656.\nAnswer: 3702024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4062, -4063, -4064, -4065?\nAnswer: -4066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from bbbbsbbb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94695\/81 - 12\/162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1)*3\/(-2). List the prime factors of -16*4*u\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21123 - 12?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a = 772*a + 12735 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2*f**5\/5 - 434*f**4 - 2*f**3\/3 - 573*f**2 + 2953. Find the second derivative of o(c) wrt c.\nAnswer: 24*c**2 - 10416*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 20, -1440 + 5527 = 4*b - f. Suppose 0 = 5*x + 5*c - 475, 0*c + 291 = 3*x + 5*c. Suppose 5*j - b = x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 375 + -374.99998017. Round j to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30526 (base 8) to base 7.\nAnswer: 51552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + 1. Let b(d) = 7*d**3 + 9*d**2 - 10. Let v(f) = b(f) + 6*q(f). Factor v(z).\nAnswer: (z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 117*n**2 - 10*n - 4. Does 6 divide o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0040802841 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 1 - 2*a + 7*a. Let b(l) = -l. Suppose -2*m = 6*m - 8. Let r be (2 - 7)*(-1)\/m. Give r*b(x) + j(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*(-1 + -3 + (sqrt(1539) - (0 + -1 + sqrt(1539))))*-5)**2.\nAnswer: 50625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 544700 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152025.\nAnswer: 3, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11 (b) 1 (c) 0.1 (d) -0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -1. Let f be (4\/5)\/((-2)\/(-10)). Suppose -u - 5 = f*u. What is the biggest value in u, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**6\/3 + 1612*t**5\/25 + 1647*t**4 + 17588*t**3\/15 - 3296*t**2 - 3840*t - 987. Determine x so that s(x) = 0.\nAnswer: -40, -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -151\/79359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506396?\nAnswer: 2, 626599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 119*k + 13771. Calculate i(191).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -383, -572, -761, -950?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -279132, -558267, -837402, -1116537, -1395672?\n\"Answer: -279135*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let r(j) = -5*j + 6047. What is r(v(y))?\nAnswer: -5*y + 6047","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 648*y**2 - 2*y**3 + 2 - 650*y**2 + 0 + 2*y.\nAnswer: -2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 3. Let v be q(0). Let g(i) = i**v - 2*i - i + i**3 + 2*i + 1. Calculate g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -44.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 100, -8, -26, 0, 2, -22 in decreasing order.\nAnswer: 100, 2, 0, -2, -8, -22, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9033 divided by 5.\nAnswer: -9033\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 53. Let o = -545 - -622. Calculate the least common multiple of t(4) and o.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - (-4)\/6. Let u(v) be the third derivative of -1\/6*v**4 + 8*v**2 + 0 - 1\/6*v**3 + 0*v. Calculate u(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 minus -10163594.04?\nAnswer: 10163591.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1697015 is divided by 154272?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)*(-3)\/9. Suppose 0 = -3*s - p*s + 99. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844870?\nAnswer: 2, 3, 5, 7, 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**4 - 118*a**3 - 178*a**2 + a - 389298164.\nAnswer: -84*a**2 - 708*a - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 29 - 34 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + z**2 + 4)*(3*z + 7*z + 7*z).\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4590 and 405.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -65824*b. Let u(x) = 149*x + 28. Calculate u(p(l)).\nAnswer: -9807776*l + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-48)\/(-6))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/30 and 7\/116916606?\nAnswer: 584583030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = 2*h - 2*i, 3*h = -4*i + 25. Let n(k) = 129*k + 7. Is n(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/60 + s**5\/60 - s**4\/24 - s**2. Let m be (9\/27)\/((-2)\/(-6)). Let d be o(m). Solve 8 = i - d*y, -5*i - 18 = y - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3293 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**3 - 3*u**3 - 4*u**3 + u**3 - u**3 - 2*u**3 + (-4*u + 0*u + 2*u)*(-u**2 - 2*u**2 + 5*u**2) + 56424*u**3 - 29819*u**3 - 32201*u**3.\nAnswer: -5603*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 41. Let g(c) = x*c + 10 + 10*c - 12. Let p be g(1). Calculate the highest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -223*l**3 + 2*l**2 - 11*l**2 - 413*l**3 + 3*l**2 - 21 wrt l.\nAnswer: -3816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n + 45 = 34*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2*231\/726))\/(20\/105)\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 518484316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let m(u) = 7*u + 13. Let y(x) = 6*d(x) + m(x). What is the units digit of y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -91. Which is smaller: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**4 + 18*i**2 + 171019*i**6 + 3*i**4 + 4*i**5 - 171045*i**6 wrt i?\nAnswer: -3120*i**3 + 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-26))\/y*y*y\/(y*y*y\/(y*y**(1\/11))))\/(y**26\/(y**(-2)*y)) assuming y is positive.\nAnswer: y**(-571\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5207181 and 40913565.\nAnswer: 286394955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -138030000 to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 56, -56, 1 in ascending order.\nAnswer: -56, -4, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-5*w + 6*w + 0*w) + 1 - 1 - 2*w - 3*w - 2*w + 6*w)*((0 + 4 - 1)*(18 + 2 - 6) + 0 + 1 + 1).\nAnswer: -88*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + f + 1020 = 3*f, -2045 = -2*d - 3*f. List the prime factors of d.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161.7 - 84. Let g = 78 - o. Sort -1, -3\/10, g in ascending order.\nAnswer: -1, -3\/10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37080 by -3708.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o - 52. Let y be n(14). Suppose 136 = -y*d + 156. Calculate the remainder when 92 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2115 = -161*b - 1588 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25884899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 4537?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60488862?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13907333, 27814671, 41722009?\n\"Answer: 13907338*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = 5*i. Suppose g + i*g - 57 = 0. Let o = -14 + g. Solve 0 = -2*s + o*y - 23, -3*s - 13 - 4 = -4*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-8 - -4 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029332 rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 18911110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 1.2. Let q = 7 - v. Which is the third smallest value? (a) 1\/5 (b) q (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*6\/4. Let k be d\/(((-15)\/(-6))\/5). What is the units digit of (2\/k*-1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -552*l**3 + 1990*l + 564*l**3 + 17*l**2 - 1989*l as u*l + p + r*l**3 + x*l**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 4*f, -3 = f. Let a = 0 - o. Let w(j) = 11*j**2 + j - 1. What is the remainder when w(1) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5983661?\nAnswer: 5983661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12890.\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2830\/(-2264))\/((-15)\/(-16)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lccb when four letters picked without replacement from zlbce.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3184343406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose -n*z - 4*u = -0*z - 4, 3*z = 5*u + 22. Calculate the lowest common multiple of z and ((-2)\/(-3))\/(1\/15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 4, 2, -12, -44, -100, -186?\n\"Answer: -z**3 + 3*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/19? (a) 4.29 (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -36, -41, -46?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -6) + 390\/(-12)*-8. What is the greatest common divisor of o and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172232619.\nAnswer: 3, 13, 4416221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 + 1807?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 5385, 17583, 40953, 79125, 135729, 214395?\nAnswer: 318753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwmmuuumwu. Give prob of sequence ww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6 - 2. Suppose -3*y - o*s + 29 = 3, -3*y + s = -16. Solve -4*w - y = -8*w + k, -5*k + 18 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -1\/8, -5, 3 in increasing order.\nAnswer: -5, -1\/8, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(1080\/81)*(-725)\/(-75).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(12)*2))**2 - (1 + sqrt(13)*1).\nAnswer: -sqrt(13) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 216, 208?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 + 10*r + 2. Let c be b(-5). Suppose -5*h - 150 = -c*u, 2*h = -2*u - 24 - 50. Let l = h - -79. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/60 - v**4\/3 - 7*v**3\/6 + 16*v. Let c(b) be the second derivative of w(b). Let y be c(-5). Solve 2*p = 6 + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1860 and 775?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + 35 + -27 + -27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388210*y + 388211*y - 3 + 3.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3674, -7466, -11264, -15068?\n\"Answer: -3*s**2 - 3783*s + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16295.88 to the nearest 100.\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*c**3 + 139*c**3 + 17*c**2 - 12*c**2 - 5*c**2 + 217*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and ((-532)\/16)\/(-19)*24\/1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132452 and -1002.\nAnswer: -132716904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577240406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.2. Let r(d) = -d**2 + 6*d - 6. Let m be r(6). Let y = -2 - m. Which is the nearest to 3? (a) y (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10133 (base 4) to base 7.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-7 - -1 - 7) - 53) + 5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1 - (-2 - 4\/2). Let q be 9\/12*1740\/x. Let k = q - -38. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 10, -3*i - 18 = -4*b - 7. Suppose 2*w - 10 = -d, d = 2*d - i*w - 20. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 9338.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*(-6)\/44 - 7.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**4 + p**3 - p + 1. Let i(n) = 24*n**4 + 3*n**3 - 3*n - 8. Let v(l) = i(l) - 3*u(l). What is the derivative of v(x) wrt x?\nAnswer: 108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 11*k - 4 = 0. Suppose -k*n - 33 = -4*n + 3*v, 5*v - 25 = 0. Solve g = 4*c - n, 3*c + 0 = -4*g - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/367 and -16\/9.\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -24\/77?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (15 + -3 + -8)) + (-59 - 62)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -7*g + 242. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 20*y**2 + 59*y - 38. Is 7 a factor of i(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -201101021010?\nAnswer: -201101021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + j + 2)*(-6 + 5 - 5 - 3 + 1 + 3 + (-6 + 3 + 1)*(0 - 5 + 4) - 1 + 3 - 1).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 515 and 6901?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15527 * 0.013922\nAnswer: -216.166894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11813569 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 359086669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, -30, 2, 1.\nAnswer: -30, -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t - 9. Calculate i(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -9?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4993 or -1\/1501?\nAnswer: -1\/1501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 5*p - 4. Let c be y(3). Let i be (-4)\/(-16) - 1\/c. What is the second biggest value in 0.3, 0.4, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(637) - (5 + (sqrt(637) - (-1 + sqrt(637)))))**2*1 - (4*sqrt(65)\/(sqrt(245)*-2))**2).\nAnswer: -84*sqrt(13) + 32778\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 + l**2 - l + 1. What is the units digit of x(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2 + 16*f - 28*f**3 + 58*f**2 - 49*f**2 - 38*f**3. What is the thousands digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1221667 - -7?\nAnswer: -1221660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.56 + -0.04. Let y = 1 + x. Let z = 20271 - 20271.7. Which is the second smallest value? (a) z (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -500*b**2\/7 - 8196*b.\nAnswer: -4*b*(125*b + 14343)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14456363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c + c + 5, 14 = s - 3*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-15)*f\/((f\/(f**(-8)*f)*f)\/f))**7)**(-45) assuming f is positive.\nAnswer: f**6615","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1405? (a) -2 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 16 = 2*b, 4*b - 7 = 11*u - 14*u. Solve -5*z + x = -23, -b*z + z + 2*x = -18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from lllllvvvsell.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1430\/(-550) + 144\/15. Let l(j) = 9*j - 55. Calculate l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -535239 - 72364. Let b = 427603 + n. What is b rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 2*b + 1. Let u be c(-2). Let n = -16 - -19. Suppose 25 = 4*f - 35. Solve -2*t = -l - n, -2*l = t - f + u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -2. Let o = 1 - -3. Let q = -3.9 + o. Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/14 - 2\/(0 + -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2 + (-462)\/33.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -807589*t**2*w**2 + 3687599*w**2 wrt t?\nAnswer: -1615178*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 19057?\nAnswer: 47\/19057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 - 63. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -78 - (-3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, h: 1, p: 1, l: 2, q: 3, y: 1}. Give prob of picking 1 l, 1 p, and 1 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**5\/7 - 104504*i**4\/7 - 1253688*i**3\/7 - 5641056*i**2\/7 - 11281572*i\/7 - 8460936\/7 = 0.\nAnswer: -26114, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/8)\/(1\/6). What is the remainder when s\/2 - 1\/(-2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1316163519 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216838373?\nAnswer: 173, 1253401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 f, and 1 o when three letters picked without replacement from {f: 2, g: 2, o: 1, c: 5, i: 10}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -103. Suppose 2*w - 2071 = -1973. What is the smallest common multiple of w and g?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 2\/3 (c) 4 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -5a0?\nAnswer: -5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/2))**(2\/35))**24*(l**(-1\/2))**(-26)\/(l**(1\/3)\/l*l)**29 assuming l is positive.\nAnswer: l**(566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 59*v**3 + 9*v - 101. Let c(o) = -3*o. Let t(k) = -3*c(k) - r(k). Differentiate t(f) wrt f.\nAnswer: -177*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2874*z**5 + 3012*z**2 wrt z?\nAnswer: -172440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -354 in -0.3, 343, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4 - 678481*q**3\/9 - 854338*q**2\/3 + 603064*q\/9 = 0?\nAnswer: -75383, -4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 2*l**2 - 10*l + 587. Give b(0).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -209, 29, -131\/2?\nAnswer: -131\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(1\/2)*p)\/p)\/p)**(-23\/5))**(2\/39)\/((p\/(p**1\/p))**(1\/8)*(p**(-2\/7)*p)\/(p\/(p\/(p\/(p\/p**(2\/9)*p*p))))) assuming p is positive.\nAnswer: p**(-81871\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3876 + 3892. Suppose 4*p - 17 = 39. Solve r = -x + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4*w**2 + 8*w + 5. What is the remainder when j(5) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.218877748 and -337.\nAnswer: -336.781122252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/15 and 151\/162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + -2 + sqrt(132)\/(2*sqrt(11)*-6))**2 + -5.\nAnswer: 4*sqrt(3)\/3 + 73\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/1197)\/((-6)\/9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 212.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 4 - 4*k + 0. Let t be n(4). Let v = 57 + t. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1562, 1558, 1552, 1544?\n\"Answer: -d**2 - d + 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6510 and -98\/465.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12102 and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/22902 and -107\/224856.\nAnswer: 2473416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/195 and -1\/9435.\nAnswer: 122655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -385337 + 6*k**2 + 385337. Suppose 0 = -4*d - 4*t - 0*t + 28, -4*t - 2 = -d. Let m(p) = 3 - d + 4*p**2 + 3. Determine m(x(i)).\nAnswer: 144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 652*t - 53138.\nAnswer: -2*(t + 163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26230 - 3567259\/136. Is f bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1453320.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 69*u - 1776. Let y be x(89). Solve -4*r = -0*k + k - 3, 0 = -4*r - y*k - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (517548 - 517996 + 2*o - 4*o)*(-1 + 1 - 1)*(-4*o - 3*o + 4*o).\nAnswer: -6*o**2 - 1344*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-30))\/(300\/(-250)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukk when three letters picked without replacement from kuk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, z: 9}. What is prob of sequence zz?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 - 61 - 61*u**2 to z*u + l + n*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - x + 4)*(2*x**4 - x**4 - 7*x**4).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -43 (b) 1 (c) -20 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:07 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -646 in 3, 14, -288, 2?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88152536, -176305075, -264457614?\nAnswer: -352610153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 535788 and 8569?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/24 - (-14)\/12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712 is divided by 124.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-4 - -8)) + (1 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183 * 29164.\nAnswer: -5337012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 831\/2 - 5797\/14. Which is the closest to d? (a) -2\/11 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8866067*b**3 + 174992803*b**2 wrt b?\nAnswer: 53196402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 25, 3*j = z - 1335 + 147. What is the highest common divisor of z and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*k - 56, 2*r - 9 = 5*k + 19. Let n(x) = x + 15. Calculate the remainder when r is divided by n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 + 12*w + 13. Determine d(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299530 and 45738?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c**5 + 12*c**5 - 6*c**5)*(-1 + 2 - 3).\nAnswer: -34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 2 r when four letters picked without replacement from hrbahbrhbbbt?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 0*q - q**5 - 5\/3*q**3 - 15*q**2 - 194 + 5*q**4. Solve z(o) = 0 for o.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 220*q + 1765. Let n be k(-8). Solve t = -4*g - 23, -t + n*g + 12 = -10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 0.99?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3154761525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 3*d - d**2)*(-d**2 - 3*d + 3*d) - 3*d**4 + d**4 - 8*d**4 as x*d + m*d**2 + g*d**4 + b*d**3 + w and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 13*f + 4. Let i be t(-3). Let v(o) = -o**3 - 7*o**2 + 8*o + 10. What is v(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 517 and 4?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1975, 1967, 1945, 1903, 1835, 1735?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365025 greater than 4365026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 120 = 19*l. Suppose -4*m + 1 = -l*m + 3*t, -2*m - t = -7. Solve 5*r = 2*d - 13, 2*r + m = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 600 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, x: 3, z: 6}. What is prob of sequence dz?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 plus -107963.462334?\nAnswer: -107963.332334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-15))\/7 - 108\/(-10). Suppose -t*p + 175 = -1. Calculate the highest common divisor of 176 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**4 + v**4 + v**4)*(-2 - 2 + 7) + 9*v**2 + 9*v**4 - 9*v**2 + 2*v**3 as i*v**3 + n*v + y*v**2 + b + p*v**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -27 (c) -47 (d) 4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -339 + (-38 - -346) + 0 + -33\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 3 = 12*t - 29*t. Which is greater: -4\/2265 or t?\nAnswer: -4\/2265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 164*g - 3. Let r be h(1). Suppose 0*b - r = -7*b. Suppose -3*m + 31 = -b. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -96 + 2157864?\nAnswer: 215779b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -676826 - -5?\nAnswer: -676821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + v + 3 - 4 = 0, -5*j + 15 = 2*v. Let q(o) = 18*o - 8. What is the remainder when 117 is divided by q(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 1, v: 1, r: 1, b: 1, m: 2}. What is prob of picking 2 m, 1 p, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 204*x**2 + 417*x + 1354. What is p(-206)?\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*-2*(sqrt(3) + 0) - (5 + 3*sqrt(3)*-2*6).\nAnswer: -10 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**4 + 57874*i**3 + 6 + i**2 - 57885*i**3 + 2*i**4 to u*i**4 + q*i + r*i**2 + t*i**3 + g and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -31094, 38 in ascending order.\nAnswer: -31094, 1, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16083302197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1257136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3941a08 (base 11) to base 13\nAnswer: -154c818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 + 83 = -j. Calculate the lowest common multiple of j and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(128) + 2 + (sqrt(128)*-1 - sqrt(128)) + (sqrt(128) + 1 + -3 + (sqrt(128) - 4*2*sqrt(128)))*-2)**2.\nAnswer: 1920*sqrt(2) + 18532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2. Let g(j) be the second derivative of -j**5\/60 - 9*j**2\/2 - 10*j. Let y(r) be the first derivative of g(r). Calculate k(y(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5158, 73.\nAnswer: -2, 73, 5158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 90\/615*1148\/1204\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 1\/2*2666496\/60512\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/6 + 4*a - 4. Let v(b) = -100 - 14*b**2 + 100. What is v(j(q))?\nAnswer: -56*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4 - 1492684*u**3 - 139243906560*u**2 + 2367577816848*u = 0?\nAnswer: -186594, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 v when three letters picked without replacement from {v: 2, k: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6856019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -323?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 22 - (0 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 1:30 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22010 (base 13) to base 6\nAnswer: 1152505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103 - 2138 = -591*k - 14628 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001420353 rounded to 5 dps?\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3297, -3371, -3439, -3501, -3557, -3607?\n\"Answer: 3*p**2 - 83*p - 3217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -884475\/76 + 11637. What is the common denominator of k and -103\/60?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -772?\nAnswer: -3088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 + 1. Suppose 3 + 21 = 4*u. Let x(t) = t**2 - 5*t - 8. Let z be x(u). Give l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 62\/3*m**3 - 1\/6*m**5 - 16*m - 7\/2*m**4 + 104\/3 - 80\/3*m**2 = 0. What is m?\nAnswer: -26, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-130616)\/(-87) - 2\/6. Suppose 4*q - y - 27 = 0. Round q to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkukk. Give prob of picking 1 u and 2 k.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5206380814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -o - 3*o. Let x = o + -14. Let b be (-3)\/((x*4)\/4). Solve -b*a - 5 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*j + 8 + 8, -3*r + 2*j = -13. Suppose r*n - 12 = -2*y, -n = 4*n - 4*y + 2. Let v(c) = 17*c - 1. Is v(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1517 - -1521 - (0 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/18970 and -119\/268290.\nAnswer: 1878030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2073 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)\/(5*sqrt(4)))\/sqrt(9))\/(sqrt(16)\/(sqrt(128) - sqrt(8)) + sqrt(20)\/(1*sqrt(10)) + sqrt(2)))**2.\nAnswer: 27\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8695886?\nAnswer: 2, 23, 189041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 209019 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.007 + 1.993. What is the nearest to -1 in 6, 1\/6, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12097890 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 2*f**3 + 0*f**3 + (608*f**3 + 242861 - 242861)*(1 - 1 - 1) + f**3 + 0*f**3 + 0*f**3 + (0*f + 0*f - 2*f)*(5*f**2 - 2*f**2 - 4*f**2).\nAnswer: -606*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 8*s - 3*s. Let b = 16 + s. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Suppose -w*j - 5*g + 865 = 0, g - 346 = -2*j - 0*g. Suppose -6*p + j = -127. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11007071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 4, v: 1, k: 1, z: 2}. What is prob of sequence vqq?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + 2*g - 13, 3*l = -5*g + 34. Let z = l + 1. Suppose -z*f - 8 + 56 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 42. Let r be b(13). Suppose 0 = 3*x + 5*l + 986, -866 - 124 = 3*x + r*l. Let u = x + 499. What are the prime factors of u?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 25496400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -27?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2 + (7 - 3)). Let g(h) = 5*h**2 - 10*h + 4. Let k be g(2). Let i = 6 + -10. Put k, i, v in decreasing order.\nAnswer: k, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*k**5*t + 944*k**2*t + 160*k*t + 2*k + 2148*t + 3 wrt k?\nAnswer: 1980*k**3*t + 1888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bybbyybb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -516215000 to the nearest 1000000.\nAnswer: -516000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/17)\/(r*r*r**(-16)) assuming r is positive.\nAnswer: r**(241\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 1 (b) 0 (c) 1\/1222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 879956 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 15 = 5*f, 32*f = 5*s + 28*f + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9 + 0 = -4*x, 2*z - 2 = 2*x. Suppose 10 = 5*u, z*u - 82 = m + 2*m. Let s be m\/(-4) + -3 + 17. Solve 3*c + 16 = 4*o, s = 2*o + 3*o + 2*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yowwoqqqqz. Give prob of picking 1 w, 1 y, and 1 o.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d - 1. Let c be 3 + d - -3*14. What is the tens digit of c\/(-12)*(-1 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 13*i + 57. Calculate r(-11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 400001*a - 4. Let w = 21 - 11. Let j = w + -6. Let i be m(j). Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -517709, -2070752, -4659157, -8282924, -12942053, -18636544?\n\"Answer: -517681*g**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3916994331 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2620, 2181, 1742, 1303, 864?\n\"Answer: -439*d + 3059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -1.8, 26.9088 in descending order.\nAnswer: 26.9088, 0.13, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7931.\nAnswer: 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 4*m + 2. Calculate the remainder when 47 is divided by c(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**8\/3360 - m**6\/180 + m**4\/12 - m. Let p(z) be the third derivative of t(z). What is the second derivative of p(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(96\/(-216000)*-45)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.085354 and 204?\nAnswer: 204.085354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11915159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 2*l = 10, l = 0. Let d be (c\/(-12))\/(2\/12). Solve -d*v = 25, -z + v + v + 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 - 3*y + 3. Suppose 6*k = k - 20. Let h be u(k). Let d = 0 - 3. Put -5, d, h in descending order.\nAnswer: h, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 16) to base 6\nAnswer: -1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96614 is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 49 = -21. Let d be 2*((-65)\/l + -4). Suppose 72 = d*b + 2. Calculate the greatest common divisor of 126 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152590462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102110010 + 10?\nAnswer: -11102110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 56*o + 267. Let x be k(-22). Let i(n) be the first derivative of 8*n - 44 + 1\/6*n**x + 2*n**2. Factor i(y).\nAnswer: (y + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3, -2, 2, -0.61?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 11. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21239*i**2*o**3 - 7*i**2*o**2*r**2 + 2*i**2*o*r**2 - 18446*i*r**3 + 2*o**3*r**3 wrt o?\nAnswer: 127434*i**2 + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19218 is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + 22. Let q be (-5 - -7)\/(1*5\/(-65)). Let n = m + q. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -35 - 0) + 4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 13. Let z(u) = 2*u**2 + 12*u - 2. Let x be z(w). Which is the smallest value? (a) x (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a + 4 - 4)*(-2377*a**2 + 2235*a**2 + 3732*a**2).\nAnswer: 7180*a**4 + 3590*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + d + 1. Suppose -3*u - 5 - 1 = 0. What are the prime factors of o(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 26. Let p = 13 - k. Let j(f) = f**2 + 2*f - 8. Let b be j(-6). Solve -v = w, p = -4*w + 5*v - v - b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -514, -1772, -4220, -8254, -14270, -22664?\nAnswer: -33832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*j**5 - 218344*j**4 + 10510752*j**3 - 8901952*j**2 + 2533184*j - 240768 = 0 for j.\nAnswer: -198, 2\/7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 90*p**2 + 9*p + 12. Let u be v(-2). Suppose 4*f - 6*f - 4*i = -224, 3*f - 3*i - u = 0. Calculate the greatest common divisor of 29 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ce123 (base 16) in base 7?\nAnswer: -10113560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488655 divided by -1.\nAnswer: -488655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6840 = 49*p + 131*p. Calculate the remainder when 5091 is divided by p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -754 and -0.3.\nAnswer: -754.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*n = -597, n + 483 = 4*y + 4*n. Calculate the remainder when y is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/25 or 5\/14?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105.35 from 4.\nAnswer: 109.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let d(n) = 26 - 14*n**2 - 26. What is u(d(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*y + 54*y + 918 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329487?\nAnswer: 2329487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2907 by -15335.\nAnswer: 2907\/15335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37975, -37992, -38009, -38026?\n\"Answer: -17*c - 37958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 470 + -91. Suppose 5*d + 645 = 5*b, -6*b - l = -9*b + d. Suppose 5*r - 2*h - 131 = 0, h = -2*r - 0*h + 47. What is the highest common factor of r and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3693 * 21\nAnswer: 49.7553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 - 42*i + 517. What are the prime factors of z(28)?\nAnswer: 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -9, -6*v + v - 102 = -4*a. Let i = -9 - v. Calculate the remainder when 16 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1264)\/14)\/((52\/(-3))\/(-26)). Do z and -134 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10144, -40601, -91364, -162433?\nAnswer: -253808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-28)\/48)*6\/(-18). Solve 0 = -v*n + 70*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h - 167. Let j(c) = 10*c - 82. Let g(r) = -7*j(r) + 3*v(r). Determine g(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.057?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/16)\/(((-1539)\/(-11286))\/((-18)\/(-11)))\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 - 5) - (-3 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81842 - 56936. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1741754.012 rounded to the nearest 10?\nAnswer: -1741750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1486 = 10*y - 12*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/(sqrt(9)*1) - sqrt(60))*-2)\/(3*(sqrt(84)*-1)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 318, 1283, 2894, 5151, 8054, 11603, 15798?\n\"Answer: 323*w**2 - 4*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 246, -3, 1387, -2, -4, 4 in descending order.\nAnswer: 1387, 246, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x**(1\/4)*x)\/x))\/x)**(12\/5))**34 assuming x is positive.\nAnswer: x**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4404*z**5 + 2*z**4 + 33*z**3 - 2*z**2 + 132*z - 4?\nAnswer: -264240*z**2 + 48*z + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -303392 and -9292.\nAnswer: -312684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.28 and 45552?\nAnswer: 12754.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4*0 + (2 - -1). Suppose -q - 4*p + 62 = 0, -3*q + 214 = 2*p + m*p. Is 76 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-1))\/(3\/(-2)). Let m be (c\/2)\/(1\/2). Suppose -3*x + 12700000 = -m*x. Round x to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 53*i + 240. Let u be s(-5). Solve -5*d - 4*v + 2 - 11 = u, -5*d - 29 = -v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5505184?\nAnswer: 2, 89, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.15 + -0.15. Let l = -44497.088002 + 44460.088. Let b = j + l. What is b rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 8 + 0*q - 1 + (-1 + 1 - 1)*(-4*q + 0*q + 2*q))*(-2 + q + 2) to p*q + u*q**2 + a and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 - 136.825. Let r = 0.1654 - c. Round r to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 441.88 - 411. Let j = 28 - h. Let f = -3.6 - j. Round f to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 6. Let w be k(11). Solve -a - 12 = -4*m, 4*m - w = -4*a - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 8*p - 11. Let h be a(-9). Let c be 0 - ((h - -4) + -5). What is the biggest value in 17, -0.4, c?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3*(0 + -2). Let s be u*(1 + (-8)\/6). Calculate the common denominator of s\/22*(-44 + 3) and 11\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000317536388 to 7 dps.\nAnswer: 0.0003175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 + 0.1. Let t = -10 + 3. Let l = t - -3. What is the biggest value in -1\/5, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -1498, -3335, -5842, -8977, -12698, -16963, -21730?\nAnswer: -26957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.064 in -2\/5, 5, -54, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3*x**3 - x**3 + 8*x**3 - x**4 - 6*x**3 + x as c*x**3 + k*x + r*x**2 + t + m*x**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 15. Let j = v + 6. Solve 9 = -3*i, -5*i - 7 = -j*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z + 4*f = -42, 4*z + 3*f = 15. Let v(b) = -552*b - 546. What is the lowest common multiple of z and v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1284*y + 1297*y - 23270 = 0. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.143167 rounded to zero decimal places?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 133 = o, 5*k - 280 = -5*o + 335. Suppose 10*m - 6*m - k = 0. Let a(c) = 52*c**2 - 32*c + 32. Let l(v) = 8*v**2 - 5*v + 5. Give m*l(t) - 5*a(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 1, w: 4, m: 1, h: 1}. What is prob of sequence mb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(78)\/(sqrt(24)\/sqrt(4)) - ((sqrt(1872) + -3)*2 - sqrt(1872))**2.\nAnswer: -1907 + 145*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**2 - 6700*g - 20064 = 0.\nAnswer: -1672, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**2\/2 + 1. Let d(z) = z - 2*z + 2*z. Let x(g) = -g. Let m(p) = 2*d(p) + x(p). What is m(u(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*t - 21 = 10 - 3, -24*t = -3*h - 48 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5.06. Let x = i + 0.14. Which is the smallest value? (a) x (b) -4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*j**2 + 2*j - 6 + 4)*(4*j**3 + 3*j**3 - 4*j**3).\nAnswer: 6*j**5 + 6*j**4 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35968 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020 + 103?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/3)\/h)*h\/(h*h*h*h**(-15)\/h*h)*(h**(2\/21)\/h)\/((h\/(h\/h**(-5\/8)))\/h))**(-11) assuming h is positive.\nAnswer: h**(-28435\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 6*f**2 - 10*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 39*q**7\/14 - q**6\/60 + 2287*q**4\/12 + 111*q**2 + 4*q - 1. What is the second derivative of k(z) wrt z?\nAnswer: 7020*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 238?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 9*t**2 + 10*t + 10. Let k be p(-8). What is the remainder when (-261)\/k - (-2)\/4 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1783693.\nAnswer: 713477.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljy when three letters picked without replacement from {j: 1, l: 2, y: 1, z: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9*q + 36 = 0. Let h be (1 + q\/3)*0. Suppose h = -3*l, -2*t - 2*l = t - 48. Solve -t = 4*x + 2*y, 19 = -5*x - 3*y - 0*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:33 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*z**3 + 129 - 13*z**3 + 76*z - 12*z**3 - 386 with respect to z.\nAnswer: -6*z**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -6919a?\nAnswer: -69190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39377*j - 39411*j - 136 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b - 5*v + 3113, -4*b + 3068 = -4*v. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*t - 3 - 39, 5*t - 56 = -4*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b**(7\/4)\/b*b*b)\/(b**(1\/12)*b*b**(-7))*((b\/(((b\/(b**(2\/15)\/b))\/b)\/b))\/b*b)\/b**2*(b**(1\/2))**(-24\/7) assuming b is positive.\nAnswer: b**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 2445555436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*5*(-4)\/4. Let i be ((-25)\/(4\/4))\/(-1 + 2). Is j equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-12\/5)*z*z)**13)**(17\/6))**(-2\/59) assuming z is positive.\nAnswer: z**(442\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 next term in 3335, 6670, 10005, 13340, 16675?\nAnswer: 20010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3 - 1192*a**2 + 32844*a + 70488 = 0. What is a?\nAnswer: -2, 33, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8288 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-84)*(-24)\/(-30)*(-35)\/(-14).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217.9 + 218. What is the closest to q in 58, 0.2, 5, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.774 + -0.026. Let p = 5 + r. Let i be 6\/4*2\/(-24). Which is the third biggest value? (a) i (b) 2\/15 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165*d + 6660*d + 281758 = 1572*d - 4364*d for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 17 = -3*v - 24, 0 = -2*v - u - 29. Let g(l) = l**2 - l + 2. Let y be g(3). Let i = y + v. Is -4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*p + p - 12, 3*a = -6. Let w be p\/(-12) - (-11)\/15. Let y = 255.4 - 253.4. Put y, w, 5\/4 in increasing order.\nAnswer: w, 5\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035903?\nAnswer: 17, 119759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -2\/7 (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-1*(-9)\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -58. Solve -2*x = -u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 9*b**2 - 5*b. Suppose -2*k - 4*f - 35 = -3*k, 0 = -2*k - 2*f + 100. What is the remainder when s(-6) is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66026438 + -66026281.99999736. Let y = p + -156. What is y rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/14 and -65\/411838.\nAnswer: 411838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/4 + 6*j**3 - 17*j**2\/2 + 2*j + 1206. Give t(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 7 = -3*k. Let g(v) = v**3 - 22*v**2 - 3*v + 76. Calculate the least common multiple of (k + -1 - 1)*-1 and g(22).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(195\/(-26) - -6) - -13. Let s(w) = -3*w**3 - 4*w**2 - w - 2. Let j(k) = -k**3 - k**2 - k - 1. Let p(v) = 4*j(v) - s(v). What is p(f)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 91.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3473508758 and 22198.\nAnswer: 22197.6526491242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, n: 1, p: 2, w: 1, h: 5}. Give prob of sequence hww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*d = 281*d + 6952 - 743 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -34, -54, -76?\n\"Answer: -p**2 - 15*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 23 + -38 + 1 + (-4 - -31 - -4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 - 8 = 0. Let f(p) = 12*p**2 - 8*p - 4. Let m be f(c). Suppose 75*j - m*j = -150. Calculate the remainder when j is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 9*i**2 - 23*i - 204. Let y be t(-9). What is the fourth smallest value in -10, 2\/5, 9, y?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -488 - -512. Suppose -42 = -n*u + 21*u. What is the remainder when 165 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/22)\/(98\/(30576\/130)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264867605, 264867603, 264867601, 264867599, 264867597?\nAnswer: 264867595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1319 + -1374. Let b = 109 + -42. Let s = y + b. Solve 5*f - h - s = 3*f, 5*f = -3*h + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137*p - 749 wrt p.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*k = 41, 0*t - 5*k - 5 = 3*t. Let u = t - 5. Calculate the least common multiple of u + 1\/((-3)\/(-6)) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 - -9 - 8\/(-1). Let a(g) = -10*g + 13*g - 5*g - n + g**2. List the prime factors of a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -937753, -1875503, -2813253, -3751003, -4688753, -5626503?\n\"Answer: -937750*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*i - 5 - 9 = 0, -2*l + 10 = -i. Let u(g) = -g**3 - 6*g**2 + 6*g + 1. Let x be u(-7). Let a = x + l. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3602 = 2*n - 152*a + 156*a, 0 = 2*n + 3*a - 3603. List the prime factors of n.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r - 20*r**3 - 25*r**3 + r**3 - 2*r**4 + 65*r**2 - 3*r**4 + 59*r**3 = 0. What is r?\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -1\/23, 2\/5, 16, 2\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -o - 2*o. Let s be -5 + (1 + -1)*-1. Let l = 7 + s. Calculate the remainder when l is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o - 22 + 10 + 12.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -187498*o**3 - 3*o**2 - 9*o + 10. Let p be q(-2). What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 8. Let g be d(-9). What is the units digit of -1 + 8 - 0\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose -2*b + 9 = -r*s, 0 = 5*b - 2*b + 5*s + 15. Let c(w) = -w. What is c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 10*u**2 + 13*u + 45. Let q be d(-7). Let h = 339 + -172. Let z = h - q. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 144*s**2 + 295*s + 495. List the prime factors of z(142).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2637 divide 760090126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 63 = 4*m - 73, 2*m - 72 = d. Let j = m + -14. What are the prime factors of 6\/(-4)*j\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 183 = 4*c + 31, 3*h - 110 = -4*c. List the prime factors of (-75)\/(-4) + h\/(-56).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80383836 divided by 2\nAnswer: -40191918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 130\/(-11) - (-2)\/(-11). Which is smaller: -23 or z?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32953 is divided by 4062.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*i - 1. Suppose -i*y = 0, -3*x - x = 2*y. Solve -c + 5*h + 24 = x, -5*c - 5*h = -h - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71*23\nAnswer: -1633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*m + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -283, -424, -565, -706, -847?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543 - 743 = -100*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 612142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*j = 47 + 7, 0 = q - j - 14. Suppose 28*v - q*v = 1056. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 777220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*n*o**2 - 36*n - 1640*o**2 wrt n?\nAnswer: -23*o**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**9)**(-17))**14 assuming a is positive.\nAnswer: a**(-2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.78. Let x = y + 1.98. Let n = -6 + x. Which is the second biggest value? (a) -2\/5 (b) n (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18547937467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10363582*o**4 - 135398*o**2 + 2*o.\nAnswer: 248725968*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -794.960235 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x**2. Let r be 0 + (1 - (-6 - -5)). Let k(m) = 0*m**r - 7*m**2 + 8*m**2. What is k(a(z))?\nAnswer: 100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cd (base 15) in base 2?\nAnswer: 1010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 415 + 125.326.\nAnswer: 540.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**3 - 2*i**2 - 6*i - 3. Let z be m(-2). Let k = 44 - z. Which is the nearest to k? (a) 2 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 822 and 292689.\nAnswer: 80196786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*m + 5 = 3*m, 3*m = 5*q - 1. Let t(g) = -g + 6. Let b be t(5). What is the smallest common multiple of (-6*b)\/((-1)\/q) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 16*f**2 + 116*f + 79. Calculate l(20).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + 3*sqrt(110))*6)*4)\/((-2*sqrt(160) + sqrt(160))*-2 - sqrt(160)).\nAnswer: -23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let t(p) = 2*p + 1. Let o be 3\/45*3 + (-439)\/(-5). Let f = o + -85. Give f*t(v) - 7*r(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -136? (a) 0 (b) -5 (c) 0.06 (d) -47\/7 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006681 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1784266, 1784267, 1784268, 1784269?\nAnswer: 1784270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-3)\/((-18)\/93). Let a = 159\/10 + t. Let k be 4\/14 - ((-9)\/(-42))\/(-1). Sort -0.2, a, k in descending order.\nAnswer: k, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/3*y**2 + 1\/3*y**5 + 2*y**4 + 28*y + 0 - 5*y**3.\nAnswer: y*(y - 2)**2*(y + 3)*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = -12. Sort -4, a, 2, 5.\nAnswer: -4, 2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 1.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:50 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = 4*n - 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161\/114 + -30\/19. Let g = -10.91 + -0.09. Let f = g + 14. What is the closest to 1 in 5, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8796 + 0.4796. Let j = 10 - 9.75. Let q = -0.05 - j. Which is the third smallest value? (a) 65 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 - 1775*w - 15785. What is s(-9)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(2 - 1 + 2)*(-9141*i**2 + 2850*i**2 + 2 - 2 - 7057*i**2).\nAnswer: 80088*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297325438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in years?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.216\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*t - 786*t - 3*h = -45, 2*t + h - 7 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -17*p**2. Let u(v) = 7 + 4 + 8 - 19 + 10*v. What is h(u(g))?\nAnswer: -1700*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1074522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + 42 - (0 - -16)) + 1 + -6 + 67\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -8, -24, -46?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488319 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120201200 (base 3) in base 8?\nAnswer: 74655","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(96\/81))\/(7662\/(-81728))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-3\/7)\/m*m)\/(m**(5\/6)\/m))**(1\/33) assuming m is positive.\nAnswer: m**(73\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g**2 - 3*g**2 + g**2)*(-2*g**2 + 0*g**2 + 13*g - 4*g)*(5 - 9 - 2).\nAnswer: -228*g**4 + 1026*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**6\/240 + 11*g**4\/12 - 31*g. Let r(t) be the third derivative of f(t). Let k(x) = x. Calculate k(r(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 33*m + 210 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 + 14 - 3 - 9. Give h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -6*j - 3. Solve a - 4 = -5*h - 22, j*a + 4*h + 21 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 6:49 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704538 is divided by 46964.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 193.701.\nAnswer: 193.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -932 - -1867\/2. Determine y, given that -6*y**5 + 9\/2*y**4 + 0*y**2 + f*y**3 + 0 + 0*y = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*z - 27 = 8*q, q - z + 7 = 0. Let c(o) = o**2 - 7. Let f be c(q). Does 2 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 27 - 6 = 0. Let u = 1 - t. Let j(r) = -r**3 - 5*r**2 + 6*r + 3. Calculate j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3964 is divided by 189.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h**3 - 2*h**2 + h + 1. Suppose 2 = 7*g - 12. Is o(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/810 and 71\/4405225?\nAnswer: 713646450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31064 less than -360?\nAnswer: -31424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-9))\/4*3\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6837*c + 6841*c = 4*z - 52, -3*z - 4*c + 11 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27245 (base 9) to base 11.\nAnswer: 12933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-210)\/275 - ((-140)\/(-150))\/((-7)\/(-6)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 10*z + 7. Let j be ((-2)\/2)\/((96\/(-54))\/16). Calculate f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r + 6*r + 9*r + 8*r + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*d - 18. Solve 0 = d*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)\/(c*c**14))\/(((c*(c*c**(-15\/2))\/c)\/c)\/(c*c\/c**(-28))) assuming c is positive.\nAnswer: c**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5357851 - -3?\nAnswer: 5357854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123999878 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 3. Let m(s) = -2*s**3 + 33*s**2 - 24*s + 123. Let k be m(16). Let r(c) = -4*c - 5. Determine k*j(x) - 3*r(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137\/2528 - -21568717\/2528. Let s = -8520 + v. Calculate the common denominator of 60\/144*4347\/(-345) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 48020*c + 1493*c**3 + 63*c**3 + 4*c**5 - 216*c**3 + 13720*c**2 + 620*c**3 + 140*c**4 + 67228 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2. Let r(z) = -z**3 + 13*z**2 - 11*z - 10. Let g be r(12). Suppose j + d = 1, g*d - 14 = j - 6*j. Let f(a) = j*a - 54 + 54 - a. What is p(f(h))?\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1195*s - 789*s + 5952 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -2. What is the remainder when ((-42)\/(-12) + -2)*-75*(-28)\/70 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 424?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/23 + 4714*b**2\/23 - 2780080*b\/23 + 2775368\/23.\nAnswer: -2*(b - 1178)**2*(b - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -3, 0.3, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1295.81053635\nAnswer: 1291.81053635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n + 5. Is 12 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 33*j - 54 + 324 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z - 20 = 0. Calculate the remainder when z is divided by ((-3)\/(-12))\/(4*(-5)\/(-160)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -2\/19 (c) -0.020472 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.64037 and 38.37581.\nAnswer: 40.01618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68876 and 1799.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 9*m**3 + 9*m**3 + 2*m**3 - 3*m**3 - m**2 in the form s*m + l*m**2 + y + b*m**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 18. Let m(s) be the first derivative of 5*s**2\/2 - 7*s - 50. Let u be m(p). Solve 2*q + q = 2*j + 11, 0 = -5*q + j + u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 0 + 5 - 5 - 11*v**2 - 7*v - v**3. Let f be r(-11). What is the highest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3) + 1)*-6. Let u(f) = -2*f - 10. Let l be u(-6). Sort 5, l, d in ascending order.\nAnswer: d, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/167 (b) 0 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b6 (base 16) to base 11.\nAnswer: -794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1481 - 855. Is j a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -68. Let r = 5 + -1. Which is the closest to 2\/5? (a) r (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2*h**4 - 2*h**2)*(3*h - 3*h + 2*h) + (-2*h**2 - 4*h**2 + 2*h**2)*(22*h**3 - 22*h + 22*h) + 2*h**5 - 2*h**3 + 2*h**3.\nAnswer: -82*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*x = -7*b + 17, 2*x = 5*b - 23. Let q = -2 + b. What is the greatest common divisor of 8 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 26. Let f(g) = 5063*g - 286. Determine 22*a(h) + 2*f(h).\nAnswer: 10126*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Let t be (-3)\/(6\/(-14)) - w. Suppose l + 0*l - t = 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*d**6 + 3*d**3 + 2*d**2 + 111*d?\nAnswer: -4800*d**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/8)\/(((-6)\/4)\/(141\/3196*34))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - 10. Let c = y - -48. What is the closest to 0.1 in 0.2, c, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppp. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(3))\/sqrt(5)*-1)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -18*v - 75 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + c + 3*c - 104 = 0, -g - 3016 + 2987 = -2*c for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155068 is divided by 6461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3090 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.7 - 13. Let z = -19 + 18. Which is the third biggest value? (a) z (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 - 7 = 0. Let d = j + 1. Suppose -d = 45*c - 39*c. Sort 1, -45, c.\nAnswer: -45, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 2\/(-9) + 32\/(-18). Solve f*b - 30 = -5*x - 5, 0 = -x + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k + 3. Let f = -23 + 16. Let l(d) = -d - 4. Let z be l(f). Determine p(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p. Suppose -4*v = 5*n - 386, -54 = -2*n + n + 5*v. Let f(w) = 36*w**2 - n*w**2 + 42*w**2. Determine f(h(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3012*w**3 + 2*w - 2. Let f(j) = 1888524*j**3 + 1255*j - 1255. What is -1255*b(u) + 2*f(u)?\nAnswer: -3012*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 9 + 21. Suppose g*p - 11*p = -36. Sort 3, p, -3 in increasing order.\nAnswer: -3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (7 - 4) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 4\/5 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 8*q - 2. Give j(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 4*c**2 + 5*c - 5. Let q be g(5). Let r(x) = -5*x + 2. Let i be r(-2). Let y = -28 + 26. Sort q, y, i in ascending order.\nAnswer: q, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*v + 7, 4*h + 4*v = 6*v + 34. Let j = 26 - h. Let p be ((-12)\/(-21))\/(10\/105). Solve -2*a + 2*x = 4, 2*a + 4*x - j + p = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m\/m**7)\/(m\/m**(-4)*m*m))\/((m\/(m**0*m))\/m)**22)\/((((m\/(m*m**7))\/m)\/m**6)\/((m**(1\/8)\/m*m)\/m*m**4)) assuming m is positive.\nAnswer: m**(233\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 240 = 4*h. Calculate the common denominator of 1\/(12\/14) + 2 and h\/16*(-1 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(208) - sqrt(26)\/sqrt(2)*6.\nAnswer: -2*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27244 divided by 27244\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4538986 is divided by 337?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -325, -690, -5 in descending order.\nAnswer: 5, -3, -5, -325, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25898 and 1736?\nAnswer: 22479464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = 39. Suppose -2*o = -4*o + c. Suppose -3*r = -o*r + 6. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 813 = -305*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 - 2*w - 2. Let l(i) = -i - 1. Let o(r) = -f(r) + 2*l(r). Find k, given that o(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.164 + -0.076. Let m = -343.76 + 344. Let l = m + g. Which is the second smallest value? (a) l (b) 2 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 < -169\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 44*b + 1. Let l(t) = 7*t**2 - 5. Give l(o(n)).\nAnswer: 13552*n**2 + 616*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 888.9017l?\nAnswer: 888901.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + i - 34. What is o(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 97. List the prime factors of i.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*w**3 - 95*w**3 + 0 - 12 in the form k + g*w + x*w**3 + i*w**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, 0.2, 3, 2\/7?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550 + -247. Suppose k = -0*f + 5*f - 3*l, 0 = -5*f - l + 319. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130 (base 4) to base 11.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21211 (base 4) to base 9\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*h**2 + 100*h**2 - 169*h**2 - 242*h**2 as j*h**2 + s*h + o and give j.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -26. Suppose 5*f - 3*y = -y + 36, -3*f + k = -3*y. Solve -f*j + j = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740331969?\nAnswer: 3, 13, 18982871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3213975221 take away 2.2?\nAnswer: -1.8786024779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20296*-3.\nAnswer: -60888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhs when three letters picked without replacement from zhdzs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404\/91 + (-4)\/(-7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-554)\/(-1385)*(-4)\/208*-5*4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 0*u**3 - 3 + 0*u + 1\/5*u**5 + 0*u**4 - u**2. What is the second derivative of b(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-39)\/1422)\/((-2)\/(-1550)). Let p = 7\/79 + f. What is the common denominator of 13\/10 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 647652 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (256\/(-2))\/(-4) + -3. Calculate the greatest common divisor of 58 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -814, -2\/15 in increasing order.\nAnswer: -814, -0.3, -2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -19*k + 59. Let t be x(8). What is the units digit of (-124)\/t + (-2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 37 = -12. Let f(z) = 2*z**2 + 168*z - 699. Let c be f(4). Solve i + d - 14 = -d, w*i - 3*d - c = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 11*v**2 - 7*v - 12. List the prime factors of a(-9).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/843950 and 14\/928345.\nAnswer: 9283450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 19 + 29 = 0. Let r = -19 + q. Let t(s) = -s**3 + 6*s**2 - 3*s. Calculate the remainder when r is divided by t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Suppose 4*i = -s*l + 26, -5*i + 0*i - 4*l + 37 = 0. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.347478l to millilitres.\nAnswer: 2347.478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/8 (b) 5 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(2\/3))**(5\/2))**31 assuming r is positive.\nAnswer: r**(310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*q - 1, k - 1 + 0 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57348138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 701 = b, -4*b - 792*j + 793*j = -2849. What is the greatest common factor of 40 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/9, -0.2, -194?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -360, -4, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:53 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*s = 717 + 244 - 301. Sort 16, 8, s, -4 in descending order.\nAnswer: 16, 8, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -356\/3 (c) 0 (d) 4\/9 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 57 = -5*z, 5*p + 76 = z + 31. Let m be ((-527)\/p)\/17 - 1\/(-8). Solve -5*d + 0*d + 31 = -m*q, d - 5*q = 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 3*g + 2. Let h be r(-3). Suppose -4 = -a + h. What is the greatest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -c020?\nAnswer: -c00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 + 229. Calculate the smallest common multiple of 50 and i.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 102 - 87 = 3*x, 5*f + 2*x = 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(288) - (sqrt(288) + sqrt(288) + (sqrt(288) + sqrt(288)*2 + sqrt(288) + sqrt(288) - sqrt(288)))) - (2 + sqrt(288))*-2*-4)**2.\nAnswer: -5712*sqrt(2) + 83428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9 and 43\/303.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:15 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21416.643 rounded to the nearest ten?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))\/q)**(-19)*q**(-5\/3)\/q*q**(-3\/8) assuming q is positive.\nAnswer: q**(383\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 318117388850.\nAnswer: 318117388850.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 23?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + (-16)\/(-56)*7. Let y(a) = t + a**3 - 1 + 552*a - 552*a - 10*a**2. Calculate y(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*r**2 - 263*r + 72*r**2 + 219*r**2.\nAnswer: r**2 - 263*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.48 to 0 dps.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -7*z**3\/6 + 7*z**2\/2 - 2*z + 65. Let d(p) = -4*p + 4. What is -10*d(j) + 6*w(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4292758 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 6*n + 4. Suppose 5*v + 4*u = -0*v + 17, 3*v = -4*u + 7. Suppose v*k - 9*k + 16 = 0. Let w be h(k). Are w and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**12\/(g**(-13)\/g)*g**(-16)*g*g*g*g**(-1\/2)\/g assuming g is positive.\nAnswer: g**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g - 9. Let k = -3 - g. Solve 5*v - 3*l = 16, k = 5*v - 5*l + 5 - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.671517 and 3.\nAnswer: 32.014551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -25, -3.\nAnswer: -25, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/190630372 and 61\/142972779.\nAnswer: 571891116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.39 + 0.01. Let o = -3 + -1. Let l = -0.3 - -0.3. Sort l, o, a in increasing order.\nAnswer: o, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*p**2 + 0*p + p - p.\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.5458 rounded to 0 decimal places?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 3, g: 2, v: 4, m: 1}. What is prob of sequence cg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (122\/14)\/(10\/70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*t**2*y**2 + 2989*t**2*y - 17*t*y**2 wrt y.\nAnswer: -316*t**2 - 34*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1573.\nAnswer: 2\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -132*a**2 - a + 133*a**2 + 50 + 3. Let z be c(-8). What is the highest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -126269 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545014 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 48 = -56 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/5 - -2\/15. Let a be (0\/2)\/(-3) + (-2)\/14. Sort 2, a, j in descending order.\nAnswer: 2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22*z + 406. Let o(q) = -14*q + 270. Give 8*o(y) - 5*s(y).\nAnswer: -2*y + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.2096546\nAnswer: -0.06289638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -23*h**2 + 17*h - 17. Let c(w) = -4*w**2 + 3*w - 3. Let i(s) = 34*c(s) - 6*g(s). Let z(o) = -415*o. What is z(i(n))?\nAnswer: -830*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14747.96622 and -0.3?\nAnswer: -4424.389866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 22*l**2 - 9*l - 606. Determine p(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - i**2 + i**2 + 0*i**3 + i in the form x*i + z*i**3 + b + j*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 6 + 1, 0 = 2*g + i + 1. Sort g, 1\/2, 0 in descending order.\nAnswer: 1\/2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1005?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 4745910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 423.9444kg?\nAnswer: 423944400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/6 - 58*p**3\/3 - 4483*p**2\/6 - 9842*p - 9114 = 0.\nAnswer: -42, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b - 4*b + 42*b - 198. Let c(y) be the third derivative of y**4\/12 - y**3\/2 - y**2. Let i be c(2). Solve -b = 5*k + i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**3 - 69229*r*y**3 + 21394*y**3 + 1 wrt r.\nAnswer: 6*r**2 - 69229*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5\/4, -1, -1.26, 1 in decreasing order.\nAnswer: 1, -2\/5, -1, -5\/4, -1.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 4, h: 6, y: 7, u: 1}. Give prob of picking 1 y and 1 h.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = g + 10 + 10, -10*t + 2*g + 10 = -12*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(2530\/(-44275))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 less than -0.6736?\nAnswer: -1123.6736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6*g + 80 = -h, -g + 6*h = -90. Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 - 9840*u - 1437699. What is k(-156)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961733967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1435762*g**3*i**2*v**3 + 3*g**3*i*v + 74480*g**2*i**3*v**2 - 13*g**2*v**2 - 7*i**3*v**3 + i**3*v wrt v.\nAnswer: -8614572*g**3*i**2 - 42*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 2*t**2 - 3*t**2 + 10.\nAnswer: t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6972*k - 6972*k + 122*k**2 to b*k + u*k**2 + r and give u.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660, 671, 706, 777, 896, 1075, 1326, 1661?\nAnswer: 2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.39 + 11.39. Let i = 10.99999895 - p. Round i to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b028 (base 15) to base 13.\nAnswer: -313b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*z = 246, -132*h + 127*h + 1185 = -z. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 230*i - 228*i - 5*p - 11054, -i - 4*p = -5566. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -31768.78154.\nAnswer: -31768.38154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 0.95.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 12:38 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/95 and -16\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15767*p*y**2 - 228965*p - 85*y**2 - 3*y wrt y?\nAnswer: -31534*p - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 3*o + 323 - 109 - 108.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*a*q*v + 5*a*q + 4*a*v + 20558363*a + 22*q*v + 9*q wrt q?\nAnswer: 35*a*v + 5*a + 22*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27547, 55036, 82405, 109594, 136543, 163192, 189481?\nAnswer: 215350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 57, -3\/2, -1, -386\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-56 + 10) - (17 + -1)) + 66?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 5*a + 5. Let u be b(6). Let h = 3 + u. Let o = 4 - h. Solve -2*x + 0*x - o = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 1\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 1. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.417 - -0.042. Let j = -0.583 - h. What is j rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, d: 4}. What is prob of sequence idi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 20, 3*x - 1 - 1 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 2. Suppose -z + 0 = -2. Is p(z) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17676573 by 5892191.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqvgliaqqlqglllaaiql. What is prob of picking 1 a and 1 q?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47159 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242064332 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423744 by -6.\nAnswer: -70624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7*602.84\nAnswer: 4219.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(225) + (5*sqrt(660))\/sqrt(12))\/(6*sqrt(405)*3*-2).\nAnswer: -13*sqrt(11)\/810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 20170188?\nAnswer: 20170188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 4)*41\/(-4). Suppose m = 3*o + 7, -2*o = -5*m + 33 + w. Let b(a) = a**2 - a + 8. What is the smallest common multiple of m and b(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 1891*x.\nAnswer: -x*(x - 1891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 11) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + 9\/60. Let m = -0.15 + 0.25. What is the nearest to 1\/5 in 4\/7, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37174673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283488048 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*a - 12 = 421*a, 0 = 5*o + 5*a + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 10. Let n(t) = 30*t - 246. Let j be n(8). Determine l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1227 - 1270. Let a be (-6)\/(-9)*(-63)\/14. Put -1, a, j in decreasing order.\nAnswer: -1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9500 + 1349 - 9628 - 8408 + 5224)*(3*a - 6*a + a).\nAnswer: 41926*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16854*h**2\/5 - 525548*h\/5 + 12290882\/15 = 0 for h.\nAnswer: 2479\/159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 1. Let b(o) = o**2 - o - 4. Let l = 15 - 11. Let i be b(l). Let j(z) = 14*z + 2. What is i*r(p) + 3*j(p)?\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b**2. Let w(z) = 41*z. Give g(w(h)).\nAnswer: 15129*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + -3 - -2 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6 + (3 - (-8)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10233607 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29309616 and 10584028?\nAnswer: 381025008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -38+-3.4\nAnswer: -41.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b + 8. Let k(h) = -h**3 - 2. Let s be k(b). Is 10 a factor of 8\/12 - (-236)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and -3517944987520.\nAnswer: -3517944987520.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -17370443 to the nearest 1000.\nAnswer: -17370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225421 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 581 and 1869409?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**5*h)*h)\/h)\/h*h**(-1\/3)\/h*h)\/(h**0)**(2\/65) assuming h is positive.\nAnswer: h**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c - 10*c + 32*c + 107163*c**3.\nAnswer: 107163*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*f**5 - 543654705*f**4 - 2011520139*f**3 + 782862108*f**2 + 478415604*f - 173969328 = 0. Calculate f.\nAnswer: -3624361, -4, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2 + 23852*f + 31101048 = 0.\nAnswer: -4037, -1926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0 - 2*j**2 + 0*j + 1\/24*j**4 - 1\/120*j**6 + 7\/6*j**3 + 1\/60*j**5. Is 4 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 7:19 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Suppose 4*c + 4 - 100 = 0. Suppose 2*r = -5*i - 0*r + c, i - 6 = -r. Solve u*l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p + 0*p)*(7*p**3 - 10*p**3 + 0*p**3 + 2)*(-p + 5*p - p) + 2 + 2*p**5 - 2.\nAnswer: 47*p**5 - 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4508?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 8*s - 8. Determine j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136895?\nAnswer: 3, 5, 75793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 3*l + 56, 59*q - 5*l - 10 = 61*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 6*t**2 - 2*t - 1 + 1 + t**2 + (-t + 4*t - t)*(t - 4*t + t) + 1 - 3 - t + 3*t - 5*t**2.\nAnswer: -14*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/61361, -3, -154\/13?\nAnswer: -2\/61361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z + 60. Let x = -136 - -136. Let n be k(x). What is the highest common divisor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 2 n when four letters picked without replacement from {d: 1, j: 1, n: 2, b: 2, h: 2, u: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/120 + k**5\/10 + 5*k**4\/24 + 5*k**3\/6 + k**2. Is m(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 3*i**2 + 3*i. Let t(c) = 7*c + 2. Let o be t(0). Calculate d(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9918710*s**3 + 21322*s**2 - s - 106 wrt s?\nAnswer: -59512260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*j = 29 - 8, -5*m = -5*j + 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -1559*f + 1557*f. Solve -2*a - 3*o = -a + 11, -19 = a + f*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -12*c - 67. What is the closest to 3\/14 in -1\/6, 6\/11, c?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 311*c + 307*c = 10, -5*t - 5*c = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9 + 1 = -2*a, 0 = 2*x + a + 8. Let v(i) be the second derivative of i**4\/6 + i**2\/2 - 2*i. What are the prime factors of v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -3 - (-41915)\/(-1743).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 6*z**2 - 4. Let w(q) = -5*q**2 + 39*q - 2*q**3 - 39*q - 3. Let o = 1 + -4. Calculate o*k(u) + 4*w(u).\nAnswer: -2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhh when three letters picked without replacement from bqbbqhbbbqhb?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.32 + 33.68. Let y = -16 - a. Let u = -50.057 - y. What is u rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 3, q: 4, l: 2}. Give prob of picking 3 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 14*m - 49.\nAnswer: -(m - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(7) - (sqrt(448) + 1 + sqrt(448) - sqrt(448))))**2.\nAnswer: 28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 89267 and -97223.\nAnswer: -7956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(9\/2)\/o)\/o))\/o**(-14))**(5\/6) assuming o is positive.\nAnswer: o**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -83, -137, -201, -275?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(1\/1) + -8. Let k be c\/(-14) - 72\/(-28). Let p be (-3)\/((-9)\/191991) + k. What is p rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - 7*y**3 + 126*y**2 - 4791*y.\nAnswer: -12*y**2 - 42*y + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -31*g + 2298. Let z be k(76). Does 13 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67376210 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 10*h + 55. Let f = h - -15. Let w(l) = 1 - 1 + f*l - 2*l. Let i(a) = 5*a. Calculate i(w(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0539 - 6935.16054.\nAnswer: -6935.21444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*-4*(-3)\/(-48)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 465*g*x**3 - 2*g*x**2 + 2*g*x + 3537*g - x**3 + 2*x**2 wrt x.\nAnswer: 2790*g*x - 4*g - 6*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/24 - (-3805)\/2*1. Is 1901 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12800\/36480*(-6)\/10?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16887 and 18?\nAnswer: 303966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -22*m + 50 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 137. Calculate the greatest common factor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 - (-12 + (9 + -23 - -1) - -23)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(156) - (sqrt(156) - sqrt(156)*-1))*-5 + sqrt(156) + sqrt(156) - sqrt(156)) + sqrt(156))\/(sqrt(1200)*-3 - sqrt(1200)).\nAnswer: -7*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2155 - 24*t - 835 - 470 - 850.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9185111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1 (c) 7 (d) 1\/9 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 25. Let g = 15 + s. What is the second biggest value in -5, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + -11. Suppose 8*s - 65 = 7*s. Let d = s + o. Round d to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c - 9. Let j be k(4). Let g = 34 - j. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -20 + (31 - 12) + -37.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 - 15*s. Let g(i) = -i**2 - 5*i. Let j(o) = 7*g(o) - 2*p(o). Let c(b) = -8*b + 4*b + 0*b**2 - b**2 + 7*b. What is -5*c(f) - 3*j(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -11*t**2 + t - 2. Let a = 3332 - 3323. Let r(y) = -43*y**2 + 5*y - 9. Give a*v(f) - 2*r(f).\nAnswer: -13*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + 2 + 6 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108, -190, -248, -282?\n\"Answer: 12*z**2 - 118*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Let b(i) = -4*i - 3. Let q(c) = -c - 7. Let k be (-18)\/(-63) + 44\/(-7). Let m = 1 + k. Let l be q(m). Determine l*a(x) + b(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d - 2. Let x(g) = 26*g + 6. Let i(r) = 14*v(r) + 5*x(r). What are the prime factors of i(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6244*l + 149788. Calculate n(24).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknheeennmnednm. What is prob of sequence mnk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eahafid. What is prob of sequence aeh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 386 + 79*f - 20*f - 744 + 358.\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3082*v. Let c(r) = -3*r. Give o(c(b)).\nAnswer: -9246*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.274 less than -93.4?\nAnswer: -93.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 2*z**2 - 2*z - 3. Let f(n) = -n + 0 + 1 - 4*n + 1. Let b be f(1). Calculate m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {w: 1, v: 1, n: 2, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1458, 2917, 4376, 5835, 7294, 8753?\n\"Answer: 1459*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/((-6)\/24). Solve 0 = -p - z - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 220211740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8909151 centimeters?\nAnswer: 8909151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 2 l when four letters picked without replacement from lleeeeelul.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sya when three letters picked without replacement from {d: 4, a: 2, w: 2, i: 1, y: 2, s: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 9*c - 4*c + 24)*(4 - 4 - c**2).\nAnswer: 13*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394311.7 millimeters to centimeters.\nAnswer: 39431.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*f - 403*b*h**2*t**2 + 3*b - f*h**2 - 35*f*h*t + 51*f*h - 3*h**2 wrt t?\nAnswer: -806*b*h**2*t - 35*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 8*j**2 - 2*j + 6. Let z be o(-5). What is the greatest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 3.44?\nAnswer: -2.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -2. Let h(z) = z**3 + 5*z**2 - 2. Let c be h(r). What is the highest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*l + 9 - 26, -l = 3*k + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n + 10*n - v - 2*v - 70 - 41, -300*v = 96*v - 1188 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 13}. Give prob of picking 3 f.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50040 or 50044?\nAnswer: 50040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(931) + (sqrt(931) - sqrt(931)*2) + sqrt(931))**2 + ((2 + sqrt(931) + -1 - sqrt(931))**2 - (-1*sqrt(931))**2*-4) + 3 + 2.\nAnswer: 84*sqrt(19) + 6535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*h + 4, 0*h = -5*h + 3*m + 29. Solve -4*i - 4 = h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/(3\/9). Let y be 1 + -2 + (a - -5). Sort 3, y, -3 in decreasing order.\nAnswer: y, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3716?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 21*s - 1752. List the prime factors of s.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 429 and 234.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 5*c + 18, 65*u + 13 = 54*u - 3*c + 33 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/877 in 0.2, -1, 0, -1\/4, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 116?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608750 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g + 71*g = -7*g + 3192 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 3*s**5 + 4*s**5 - 3*s**5 + 5*s**5 - 6*s**5 + (-2*s + s + 3*s)*(-2*s**4 - s**4 + s**4) - 2 - s**5 - 3*s + 5*s - 20.\nAnswer: -10*s**5 + 2*s - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a minute in seconds?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let y(v) = -4*v + 1. Let x be (-24)\/(-9) + 10\/(-15). Determine x*y(r) - 9*p(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1002, -2, 1, 3 in descending order.\nAnswer: 1002, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 17*l + 11. Let m(j) = -3*j**2 + 25*j + 16. Let v(n) = 7*f(n) - 5*m(n). Give v(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.361414 - 10.96\nAnswer: -11.321414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l**(-15)*l))*((l**(-1\/14)*l)\/l*l)\/l*l**(-15\/7)*l**(-2\/23) assuming l is positive.\nAnswer: l**(-5249\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4 - 11*n**3 + 3*n**2 + 35*n + 22 = 0.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*w = 285*w - 390 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 3*k - 4, 0 = -n - 3*k - 6 + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -39*s - 675. Suppose -3*t = -8 + 5. Put t, -4, -3, s in decreasing order.\nAnswer: t, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 7\/3*t**3 - 1\/4*t**5 + 0*t**4 + 0*t**2 + 0 - 37*t. What is the second derivative of g(s) wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 14, 132, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 4. Let p be o(4). Suppose 123*u = 47*u - 78*u + 632632. Suppose p = 5*z - 3*z + 3*h - 4112, -4*h = 2*z - u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5580 divided by -6\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/9 + 136*b\/9 = 0.\nAnswer: -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 15 = -6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = h + 4*q, q - 5*q = -8. What are the prime factors of h?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + v - 109 = 0, 3*u - 2*v - 70 = 2*v. Solve -2*a + 5*a + 2 = -p, -a - u = -5*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q)**(-3\/2) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**3 + 5*q**2 - 23*q + 37. What is m(-8)?\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 682880 and 13960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((-445)\/(-89))\/(-4 + 3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 14a9815?\nAnswer: -14a9824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 51*t**2 + 20*t - 40. What is the hundreds digit of z(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4712 and -0.016.\nAnswer: 0.0395392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 47828?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 - 41 = -10*y. Let f be 14 + y + (-3 - 0). Suppose -5*l = -3*d + 123, 2*d + 118 = f*l - 7*l. Which is smaller: l or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*a - 128*a = 2101*a + 2173*a + 129688 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 825 = 9*u. Let i = u - 73. Factor 4\/7 + 2\/7*h**i - 6\/7*h.\nAnswer: 2*(h - 2)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 3*r**4 - 5*r**4 + (26 + 31 - 25)*(-369 + 369 + 12*r)*(0*r + 0*r + r**3).\nAnswer: 383*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.44 + 7.34. Let j = -6 + q. What is the biggest value in 1\/3, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20347, 81528, 183479, 326188, 509643, 733832, 998743, 1304364?\nAnswer: 1650683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - (4 + -2) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 54, 95, 156, 243, 362, 519?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s - 372 - 917 = 115. Sort 3, -3\/17, s in ascending order.\nAnswer: -3\/17, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*f + 43*f**2 + 82*f + 70*f - 23 in the form j*f + p*f**2 + r and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcgc when four letters picked without replacement from ggzzcccgzcgccggzcgz.\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:52 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 73863 + 73974 = 53*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (20\/25)\/((-6)\/15). Let z be l*7\/((-98)\/(-4)). Let x = -24 - -25. Which is the second biggest value? (a) x (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36164814 and 714.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 314 and 2444647?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v**2 + 1. Let t(d) = -4*d**3 + d**2 + 4. Let a(r) = -3*o(r) + t(r). Let c be a(-1). Solve 3*h = -c*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43115303556 + k - 43115303556.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*i - 0*i + 2, -2*i + 1 = -3*s. Let l = 1 - -2. Let o be (l\/6)\/(1\/(-8)). Is s <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1667\/(-7) + (-2)\/(-14). Put q, -1, 4 in ascending order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -23.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 2:00 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j**2 + 45*j**2 - 77 - 129*j**2 + 63 + 41*j**2 - 80.\nAnswer: j**2 - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21450 + 3*c**3 + 4*c**2 - c + 0*c**3 + 21444 to the form v*c + i*c**3 + g + r*c**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 11*r + 48. What are the prime factors of p(11)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 8*r**2 - r\/2 - 8.\nAnswer: (r - 1)*(r + 1)*(r + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y + 7. Suppose -2*a = 9 - 15. Let q(w) = 2*w + 2. Give a*k(t) - 8*q(t).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4210*n**2 + 139*n - 15013678?\nAnswer: 8420*n + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 2:31 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q**2 + q + 4. Let p = 10 - 4. Suppose 0*w - 30 = -p*w. What is z(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**3 - 113*x**2 + 45*x - 371. Determine t(12).\nAnswer: -2279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -4. Suppose 3*w + 35 - v = m, -2*m + 46 = -4*w. What is the second derivative of 13*j**2 + 9*j - m*j**2 + 6*j + 6*j**3 wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01219+-0.12551\nAnswer: -0.1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -62.2?\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 22*v = -3*v - 3*v - 11*v - 70, 3*b - 2*v + 17 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 9*z - s, -1208*s + 1211*s + 3 + 14 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22\/30091 - 1227524\/1596658551. Let m = -4510213\/742854 - o. Find the common denominator of m and -83\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100647879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9038*j**3 - j**2 - 5*j**2 + 9090*j**3 to u*j**3 + l + o*j + r*j**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(9\/(-90))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from mmrkkmakmmmkkkm?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*h - 4*y - 0*y, -5*y = 3*h + 9. Solve 3*p - 12 = 3*b, -6*b - p = -h*b + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3011?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - m - 1. Let t be y(3). Let o = t + 5. Solve 2*d - 4*x = -o, 2*d = 2*x - 7*x + 26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -3*x + 4*x. Suppose 17*r - x = 12*r. Suppose -8*i + 110 = -3*i. What is the highest common factor of r and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/456 and -31\/226884?\nAnswer: 8621592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.4, 5, -30?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**0)*l)\/(l**(3\/2)\/l*l))\/((l\/l**(-2\/7))\/l)**(2\/167)*(l**(-1\/5)\/(l*l**(-3\/2)))**(-17) assuming l is positive.\nAnswer: l**(-32752\/5845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346 - -525. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213\/4 - 52. Let l be 10\/(-65) - 10\/3*(-12)\/(-78). What is the second biggest value in 1, p, 3, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**3 + 4652*h**2 - 1568*h - 6208.\nAnswer: 4*(h + 1)*(h + 388)*(3*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -4*c + 3*c**2 - 2\/3*c**3 + 1\/18*c**4 + 0. Factor m(l).\nAnswer: 2*(l - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 12*r**2 + 3*r - 18. Suppose 0 = 67*t - 72*t - 45. Is h(t) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 - 46*l - 341 + 26*l - 342 - 345 + 1375.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 471767.\nAnswer: 47176.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45273*i**2 - 103092.\nAnswer: -90546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.429*-4\nAnswer: -5.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 839 - 839 + 21*k + 122*k. Let v(r) = -r. Determine v(w(m)).\nAnswer: -143*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1995)\/225 - -1*9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhohnhahhhkk. What is prob of sequence kno?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - l = 0, -2*k + 3 - 19 = -3*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 - (-144 - -158)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y. Let z(t) = -4*t**2 - 5*t + 5*t. Give z(u(q)).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 13 + (107 - 156).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -1*(-4)\/(-2). What is the units digit of (10\/a)\/(5\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 26*v - 136. Let a(u) = 6*u**3 - 7*u**2 + 10*u - 13. What is the tens digit of a(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 - 135*q - 852. Let h be n(-6). Which is the nearest to 1? (a) -82 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120113, -120076, -120037, -119996, -119953, -119908?\nAnswer: -119861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by 1?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 69*z - 5*z = -134 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 - 21400*f\/7 + 21396\/7.\nAnswer: 4*(f - 5349)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 6721704.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11207272 (base 8) to base 11.\nAnswer: -1409710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v + 3*v - 2*v. Suppose -5*f - 10 = -2*i, -5*f - 4*i + 0 - 10 = 0. What are the prime factors of z(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/19, 0.048, 1\/6, -0.2?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.512 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -303 times -28\nAnswer: 8484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 33*f**3 + 243*f**2 + 14*f + 4. Calculate the lowest common multiple of j(-7) and 2.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 o when three letters picked without replacement from vozlvzlgzjl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3996 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 3 + 6*q - 4*q. Suppose 28*o = 1717 - 9. Suppose 0 = o*p - 66*p + 40. What is a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(8) - sqrt(8))*5 - sqrt(8))\/(sqrt(4) - -2*2*sqrt(4)).\nAnswer: -11*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 1)*(-1 + 4 - 4)*(-s - s + 4*s) to b + l*s and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 4*q**2 - 4*q. Let f(c) be the third derivative of 0*c + 5\/24*c**4 + 36*c**2 + 11\/6*c**3 + 0. Let p be f(-3). Determine s(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4206393, -8412785, -12619177, -16825569, -21031961, -25238353?\n\"Answer: -4206392*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let o(r) = -4*r - 4. Let g(t) = 3*d(t) + o(t). Calculate g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 28 (b) 9 (c) -9 (d) 4 (e) 45 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3 + 51*d - 51*d + d**3. Let c = -21 + 21. Give l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*i - 11, -4*i - 5*w = -0*w - 3. Let o be (i - 4)*-1 + -1. Is 0 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 5*i + i + (0 + 0 - 1)*(0 - i + 0) + 3 + i - 3 + 0*i + 2*i - i - 9 + 9 + 16*i as w + h*i and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 + 892*r**3 - 23480*r**2 + 191648*r - 446976 = 0. Calculate r.\nAnswer: 4, 9, 16, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/6*(-379)\/(-20845)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty sevenths of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1274360680 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-30)*2*-2. Which is the third smallest value? (a) -1\/8 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -768 divided by 24\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -7*q**2\/2 + 9*q + 2101. Let o(f) = -f**3 + 4*f**2 - 5*f + 3. Let p be o(3). Let l(u) = 4*u - 5. Calculate p*c(i) - 5*l(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44\/12 - 2 - 455\/156\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/3775 - -3771\/15100. Let q = -21 + 20.5. Sort 0.5, 3\/7, q, p in decreasing order.\nAnswer: 0.5, 3\/7, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from bibvfvj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 0 + (24 - 14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 5*k + 3. Let n be o(6). What is the units digit of 10\/(n\/((-117)\/3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -406a5a - 2?\nAnswer: -406a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, m: 3, z: 2, u: 11}. What is prob of sequence czuc?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 w when three letters picked without replacement from {l: 2, t: 2, p: 1, w: 2, k: 1, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*((-14)\/4 - -3). Let w(f) = f**3 - 4*f**2 - 5*f. Let y be w(u). Solve b + 4 = -y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2174 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*(f*f**(-15\/7))\/f))\/f**(-9\/7))\/(f**43\/f**32) assuming f is positive.\nAnswer: f**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287.79, -121, 0.3, 0.5, 3\/22 in increasing order.\nAnswer: -287.79, -121, 3\/22, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63698*q**3 - 10*q + 705 wrt q.\nAnswer: 382188*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 7*u - 1. Let d be p(-6). Suppose 26 = n + 4*t - d, 75 = 2*n + t. Suppose -6*c + n = -c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405 a factor of 11673265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 39*q + 770. Give l(-54).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 12*m + 33. Let n be v(-4). Suppose 2*b = 6*b - 5*x - 287, x = n. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/16)\/((-9)\/126)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 9001 + 1931 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-81)*(-6)\/(-2). What is the fourth smallest value in -4, s, -6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 1. Let d(k) = 80*k + 10. Let f(l) = -d(l) + 5*h(l). Let i(w) = -35*w - 8. Let j(b) = -3*f(b) + 5*i(b). Differentiate j(a) wrt a.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/5 + -226\/45. Suppose 2*m = -5*g - 8, 0*g + g + 5*m = 3. Let y be 6\/28*(-8)\/(-6). Which is the second smallest value? (a) h (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -9*u**2\/2 - 8*u - 1. Let t(a) = 3*a + 3. Let i(f) = -4*k(f) - 11*t(f). What is the least common multiple of i(2) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let f(z) = 11*z - 4. Let o(w) be the first derivative of -33*w**2\/2 + 11*w + 5. Let k(t) = -11*f(t) - 4*o(t). Determine j(k(x)).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*1\/(-2)*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 13530. Let o be x\/27 + (-2)\/9. Suppose -w + 2*z + 0*z = -15, 4*z = 20. What is the greatest common factor of w and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13)*3 - sqrt(13)) + (sqrt(13) - sqrt(117)\/(sqrt(225) + sqrt(9))) + 3.\nAnswer: 5 + 17*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1372 - 62*k + 1372)*(3 - 3 - 5)*(2 - 2 - 2)*(-1 + 1 + 1)*(4*k**2 + 1 - 1).\nAnswer: -2480*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 10 + 66 = 20 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 10. Let h(l) = 2*l + 5. What is 7*h(x) + 3*k(x)?\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -4\/5 (c) -7\/5 (d) -1\/2 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 243\/(-108) + (-2)\/(2\/(-2)). Suppose 4 = t + 2. What is the second smallest value in -2, 0, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -11*y - 90. Let g(q) = q**2 - 17*q - 14. Let j be g(y). Suppose s - j*f - 38 = 0, 0 = 5*s - 0*f - 5*f - 220. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.3 times -73825?\nAnswer: -1867772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*x + 4*s + 12, -6 = x - 2*s. Let f(b) be the third derivative of -b**6\/120 + b**4\/6 + b**3\/2 - 4748*b**2. Give f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {z: 1, b: 2, h: 5, v: 3, g: 1, l: 1}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*5 - sqrt(25))\/((sqrt(110)\/sqrt(2))\/sqrt(11)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(3\/4 + -1). Suppose -k = s + 48. Let a = s + 230. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**3\/3 + 3*x**2 + 5*x - 289. Determine d(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j**5 - 3*j)*(-3 + 9 - 2)*(5 - 5 + 2).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*i = -430, 8 + 17 = 5*i. Does 42 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4505 - 192.4505. Let o = 0.32 - 0.32. Is x at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0. Let p = -0.71 + 0.91. What is the third biggest value in c, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 2*i - i + i + 8*i + 4*i - 5*i + 2*i + (-4 + 2 + 1)*(2 - 2 - 2*i) + 1 + i - 1)*(-3 + 3 + 3*i).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 10*n. Determine x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 90*o**2 - 61*o + 2486. Determine b(-89).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:52 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*w + 1227 = 0, -3*w = 2*b - 30 - 597. Suppose 246 = 2*i + 2*t, 5*i - 336 = t + b. Suppose -35 + i = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b17 (base 13) to base 10.\nAnswer: -4076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/15)\/(2\/5). Find the second derivative of -5*j**3 + w*j**3 + 4*j - 3*j wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -23814\/5*y + 6765*y**3 + 0 + 9\/5*y**5 + 1119\/5*y**4 - 60291\/5*y**2 = 0.\nAnswer: -63, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046448943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3, -1, -154 in descending order.\nAnswer: 5, 4, -1, -3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6*y - 24 = 0. What is the biggest value in 3, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/6*3*-1. Solve -4*a - 4*k = a + 26, s*a = 2*k - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20285 = 5*s + 4*q + 7783, s + 3*q = 2507. Is (s\/(-7))\/((-32)\/112) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1535, -4, 2, 1, -1 in decreasing order.\nAnswer: 1535, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 p when four letters picked without replacement from {x: 2, q: 3, i: 10, p: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -247229, -988990, -2225287, -3956144, -6181585?\n\"Answer: -4*a**3 - 247244*a**2 - a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -b8a?\nAnswer: b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3\/(r**(1\/2)\/r)*(r**(-1))**(-1\/29)*(r*r**(-5)\/r*r**4)\/(r**(1\/2)\/r*(r*r\/r**(-1\/6)*r)\/r) assuming r is positive.\nAnswer: r**(151\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55108 and 84762094?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v**3 - 4 - 3 - 32*v**3 + 7.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*r = -180, 0*m - 2*m - 3*r + 73 = 0. Let k be (2 + 1 + 1)*-2. Let y be 14*(-4)\/(k\/1). What is the highest common factor of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {i: 1, v: 2, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j. Let x(v) = 3*v + v - v - 4*v. Give x(n(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -985*g - 2302. Calculate w(-3).\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + m**5 + 0*m**5 + (-m**2 + 3*m**2 - m**2)*(0*m**3 - 4*m**3 + 2*m**3) + 2*m**5 - 601*m + 313*m + 289*m - 5*m**2 + 4*m**5 + 5*m**2.\nAnswer: 2*m**5 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*s = -19, s - 21 = p - 6*p. Determine a, given that 3*a**2 + 2*a**4 - 3*a + a**p + 4*a**4 - 10*a**4 + 3*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 + 4*f + 6. Let o = 20986 + -20986. What is h(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118\/72 - (-5)\/45.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -508*x - 91453. Determine q(-180).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15344 is divided by 300?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4613*x - 1482*x = 1118*x - 269401 - 307639 for x.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 n when four letters picked without replacement from {q: 2, a: 5, n: 1, h: 1}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-2))\/(4\/(-8)). Suppose -2*g + 1 = -0*g + 5*p, -3*g + 12 = -3*p. Let i(s) = -4*s**g - 6 - 4*s**2 - 2*s**2 + 0*s**3 - 7*s + 3*s**3. What is i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20101893167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11205 + 151*v**2 + 11205 in the form h*v + g + u*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 33\/17 (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 5 (b) 2\/13 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16803 - 9393. Let k be -1 - -2 - (8 + (-51890)\/i). Do k and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - -2.99. Let a = d + 1. Let h = 1667\/4 + -417. What is the closest to h in a, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -14 - (-1 + 3) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(8 + 176\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -643a5 + 22?\nAnswer: -64383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + 58. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 57 - (-4 + (1 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 18 + 13 = 19. What is the lowest common multiple of h and 716?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 0, 9*p - 7 = 13*p - z. Let d(k) = -9*k**2 + 3*k + 3. What is d(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 168958\/21, -1\/6, 0.4?\nAnswer: 168958\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 412221.\nAnswer: 1648884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159417 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -7, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -51399 - -891\nAnswer: -50508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1*(-5 - -6). Suppose 2*s + 10 = 4*w, -w + s + 3 = -o*s. Suppose 0 = w*j, v - 4*j - 65 = -5*j. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -93.4?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*((-3 + 1 + 1)*(0*m - 2*m + 0*m) - 3 + 3 - m - 27 + 27 + 21*m) in the form u*m + f and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k\/(k*k\/((k*k*k**(1\/10))\/k)*k))\/k*k))\/k*k)\/k)**(-33)*(k*k**(-11)*k)\/(k\/(k\/(k*((k*(k*k**(-19)*k)\/k*k)\/k)\/k))))**(-1\/7) assuming k is positive.\nAnswer: k**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17961666 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/20*(-10)\/(-54)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -98 - s - 3*s + 94. Let n(v) = 5*v + 5. Let j(b) = 3*n(b) + 4*z(b). Let k(i) = 6*i**2 + 6*i + 6. Calculate -6*j(g) - k(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -29. Let y(u) = 4*u**2 + 20*u - 11. What is the hundreds digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -32 + -38 + 19\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 - 9*i + 22. Calculate j(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -94\/207 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 35 + -2 + 1. Let h = 10 + y. Suppose h = 5*v - 0*v. Solve -3 = 3*w + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j - 4. Let q be d(0). Let c be (q\/(-10))\/((-20)\/1525)*-2. Let y = 66 - c. Solve 6 = p - 2*z, 0*z + y*z = -25 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562091 is divided by 187363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160139754 + 1160139754 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*6\/504*-6*-1*4\/(-8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7)*((-21087)\/(-1491) - (-1)\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-y + 3*y - 4*y)*(-33*y**2 + 9*y**4 + 33*y**2).\nAnswer: -36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6677.7224 rounded to the nearest 10?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6588, 13101, 19614, 26127?\nAnswer: 32640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-1 - (-7 - 4 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38325.\nAnswer: 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 5*k**7\/7 - k**5 + 7*k**4\/4 - 24*k**2 + 2087*k. Find the third derivative of a(j) wrt j.\nAnswer: 1800*j**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1798 and 12.\nAnswer: 10788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and 0.0262.\nAnswer: -0.0001834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(5 + sqrt(108) + (3*sqrt(108) + sqrt(108) - sqrt(108)))*-3)**2.\nAnswer: 34560*sqrt(3) + 252435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 6*t**3 + 2*t**3 + t**3.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949123808 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/46 and -5 - (187\/(-176) + -10).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9482*z + 28605. Determine h(-3).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Suppose -z + 11 = 4*x, 4*z + 31 = k*x + z. Suppose 3*n = 4*n - x. Solve 3*l + 2 = -2*u, -5*u + n*u = 3*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 + -2.5. Let g = k - 3. Let y = 0.12 - -2.88. Which is the nearest to -1? (a) 0.5 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -100, -194, -326?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -3\/4 (c) -12040\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a - 6. Let o(m) = 7*m + 5. Let k = 540 - 535. What is k*f(r) + 6*o(r)?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isiiimiyiiyiyiimvi. Give prob of sequence ymi.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - (-24)\/2)*(-40)\/1. Let m = z + 256. Calculate the remainder when 111 is divided by m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4017865718.\nAnswer: 2, 71, 28294829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2118*t - 48252 - 8697 = -3507*t for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*a**3 + 635*a**3 - 381*a**3.\nAnswer: -70*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48525182*a**5 - 85*a + 106743.\nAnswer: -970503640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (94 + 3 - 174)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562637608?\nAnswer: 2, 13, 5409977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -6. Let h = 3 - x. What is the remainder when 27 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*r + 53 = 0, -2*z = -3*r - 2*r - 70. Suppose 0 = 33*q - 28*q - z. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/10*0)\/(-1). Which is the nearest to -2\/7? (a) 0.6 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46220.0747 to the nearest 100.\nAnswer: -46200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(2\/3)\/g))\/g*g)**(3\/5))**21 assuming g is positive.\nAnswer: g**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 2*y + 5*y)*(-2*y**2 + 0*y**2 - 5*y**2) - 2*y**3 - 2*y**2 + 2*y**2 in the form t*y**2 + q + o*y**3 + b*y and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p - 4*h + 113, 0 = -p - 4*h - 12. What is the common denominator of 105\/22 and (68\/6)\/(p\/45)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.2935+-1098.048\nAnswer: -1088.7545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 14011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**5 + 12*b**4 - 10*b**3 - 10*b**2 + 6*b - 2. Let r(n) = n**5 - n**4 + n**3 + n**2. Let h(s) = -i(s) - 6*r(s). Find d such that h(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -549d2 (base 16) to base 9\nAnswer: -577366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 212651518963 - 0?\nAnswer: 212651518963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 127, 289, 597, 1099?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 1 + -23 + 26 + -19 + 23\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 3130*i**3 - 542945*i**2 + 16620300*i - 140980500.\nAnswer: -5*(i - 295)**2*(i - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*4\/10*-4 - ((-275652)\/969)\/(-39).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) - sqrt(12)\/(sqrt(24) + sqrt(6)).\nAnswer: 23*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3097949 + 3?\nAnswer: 3097951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 942, 1891, 2854, 3837, 4846, 5887, 6966?\n\"Answer: h**3 + h**2 + 939*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1360*a**2*q**2*z**3 + 1147*a**2 + 311*a*q**2*z**3 - 4*a*q**2*z - a*z + 3*q**2*z**2 + 2*q**2*z wrt z.\nAnswer: -8160*a**2*q**2 + 1866*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 15. Let g be -2 - (8 + -4 + 20\/5). Calculate v(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 56 + 189 + -194 + -1 + -18.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 370713401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2 (b) -5 (c) -9 (d) 5 (e) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-1166793)\/(-321210) - -2. Let s = r + -3\/3569. Let x = -8\/93 + 50\/341. What is the common denominator of x and s?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -1969*k**6\/10 + 9*k**4\/4 - 2*k**2 - 4482*k. Find the third derivative of v(c) wrt c.\nAnswer: -141768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 208, 952, 2576, 5416, 9808, 16088?\nAnswer: 24592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + 0.28. Let h = 0.537 - -344.463. Let p = -345.4 + h. What is the closest to 1 in n, p, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3714976764 a multiple of 12339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + a)*(-3*a + 4*a**3 - 2*a**3 + 11*a).\nAnswer: 2*a**4 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 70, -2, 14, 0 in increasing order.\nAnswer: -2, 0, 3, 7, 14, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1925*c - 5910*c - 1 + 22599*c + 1 to the form r + y*c and give y.\nAnswer: 18614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776*f + 41*f**3 - 776*f + 58*f**3.\nAnswer: 99*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 76*j. Let m(p) = p**2 - 5*p**2 + 5*p**2. Give m(t(a)).\nAnswer: 5776*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 462031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 191293569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100001001001100110111101 (base 2) to base 9\nAnswer: 17314526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126389830*b**3 - 525*b - 1796 wrt b.\nAnswer: -758338980*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*s + 2853 = 0, 373 = -2*d + s + 1792. Suppose 165 = -13*i + d. What is the greatest common divisor of i and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 24 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -23. Suppose 3*r + 7689 - 1629 = q. Find the common denominator of ((-1)\/8)\/(30\/r) and 63\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-62)\/(-9))\/(6\/(-9)). Let d = -127\/12 - p. Which is the closest to 0.1? (a) -2\/3 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = 5*a. Suppose g = -5*c - 23, 9*c - 5*c + 16 = -2*g. Solve -g*y + y = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(66)\/sqrt(6) + 5*(sqrt(66)\/sqrt(6))**2.\nAnswer: -6*sqrt(11) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(972)*-2 + sqrt(972)) - (sqrt(88)\/(sqrt(8) - (sqrt(8) - 2*sqrt(8))) + -4))*-5)**2 + 5.\nAnswer: -1100*sqrt(11)\/9 + 164495\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.077 + -1.623. Which is the smallest value? (a) 4 (b) z (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -3*a - p, 3*p + 43 = 4*p + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637\/18 + -71\/2. Let p = 223 - 218. Let m = 2\/295 + 568\/3245. What is the third smallest value in m, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 4. Let c be o(-10). Suppose c + 4 = -5*h. Let a be (-9)\/6*h\/30. Is a equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 8017900*u + 16035798.\nAnswer: (u - 16035798)*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88989360 and 5160?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -386b635 - 2?\nAnswer: -386b637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 - 22 = 0, -60 = 2*c + 15*o. Let m = -1.34 + 8.24. Which is bigger: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y + 72 = 0. Let n = -9 - y. Suppose -2*f = -3*z + 3*f + 5, 4*z - 15 = 5*f. What is the smallest common multiple of n and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5 = -5*n, 0 = -51*n + 54*n - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 74. Let k = -16 - c. Sort k, -0.2, 1 in ascending order.\nAnswer: -0.2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3650.4 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1 + 0) + 79. Let c be -5 + 6 - -55*z. Let y = 2346 - c. What is y rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 50. Let f = h + 21. Sort -2, 1, -2\/13, f.\nAnswer: f, -2, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 4, h: 4, d: 6, l: 1, x: 2}. Give prob of sequence xd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -295*r**3 - 4*r**2 + 78*r + 4. Let m(h) = 590*h**3 + 7*h**2 - 143*h - 7. Calculate 6*m(j) + 11*y(j).\nAnswer: 295*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 8 = -4*a. Let m(y) be the second derivative of y - 1\/24*y**4 - 1\/4*y**a + 0 - 1\/6*y**3. Determine x, given that m(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 2820?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -26) + -16 - 8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1 - (-2 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1181708395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300 - 87. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -15. Let i(t) = -t**2 - 6*t + 2 + 0*t**2 + 2. List the prime factors of i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 9472.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/3 + -12 - 1. Let p = 14 + m. Let f(n) = -1 - 2*n**2 - 6*n + n**p + 3*n - 3*n. What is f(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2\/((y*y\/(y*y\/(y\/(y*y\/((y*y**2*y)\/y)*y))))\/y)*(y**(2\/3))**(2\/115) assuming y is positive.\nAnswer: y**(694\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*m - 32, -2*l - 2*l = -3*m - 117. Suppose -a + 24 = -4*f, -5*a + 23*f - 21*f = -l. Calculate the least common multiple of a and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88024 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 89 = 241. Solve j*x = -21 - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.2, -1, 3, 0.06, 1\/4 in decreasing order.\nAnswer: 10.2, 3, 1\/4, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -0.3 (c) -1\/6 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -187, -281, -375?\n\"Answer: -94*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.48. Let j = z + -0.92. Let i = j - -2. What is the closest to 1\/2 in i, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2. Let v be 4 - (0 + (-3)\/1). Let n(m) = 12*m - v*m**2 - 12*m. What is s(n(k))?\nAnswer: -98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-8))\/((-36)\/(-16))*117. Let k be 3\/f*4 - 0. Which is the nearest to -0.3? (a) 4 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2. Let x(n) = n. Let a = -12 - -11. Let y(c) = -36*c. Let z(o) = a*y(o) - 24*x(o). Calculate z(b(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/31, -3, 1\/3, 5, -442, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285370091 or -285370097?\nAnswer: -285370097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8246194 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -0.05, -4\/5, 102, -0.1?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-48) - (-417)\/4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6)*b)\/b)\/(b\/(b**(-20)*b)) assuming b is positive.\nAnswer: b**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11686937, -11686939, -11686941, -11686943?\n\"Answer: -2*d - 11686935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 + 2790 - 2591 + 497*m**2 - 492*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -130 (b) 868 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 20*c**2. Let x(w) = -220 + 220 + 3*w**2. What is x(s(y))?\nAnswer: 1200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*m - 1293*m + 4479*m + 8858*m.\nAnswer: 13227*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51548796 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**4 - q**3 + 3*q**2 - q + 2. Let u(x) = -3*x**4 - x + 3*x**4 - x**4. Let w(s) = j(s) - 6*u(s). Factor w(o).\nAnswer: -(o - 2)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.721 - -2.742. What is the nearest to -2 in 1, 2, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.085 + 0.039. Let w = 17.954 - g. Let o = 0 - 0. Which is the closest to -1? (a) o (b) -2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 13*z + 52. Calculate i(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -955000 to the nearest ten thousand.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 + -3) - (13 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 19. Let v = -6 - y. What is the second derivative of j**v - 2*j + j + j**5 + j**5 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**5 - 100*t**4 + 780*t**3 - 2540*t**2 + 3536*t - 1680 = 0. Calculate t.\nAnswer: 1, 2, 3, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ba1006 (base 12) in base 15?\nAnswer: 10a2283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3184 = -64*y - 4720 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8316.48 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 26 = 5*x, -4*x - 2 = -x + 5*k. Let t(p) be the first derivative of -3*p**2\/2 + 19*p - 12. Let u be t(x). Are 2\/15 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2857977442?\nAnswer: 2, 1283, 1113787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -49, 0.5, 13\/2, -0.2, 5?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*b - 5*o, -2*b - 5*o - 3 = 16. Let d(j) = -j. Let n be d(-6). Let p be (n\/4)\/((-6)\/(-16)). Put p, 0, b in descending order.\nAnswer: p, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*m - 0 - 6, 0 = -m. Suppose 2*s - 128 = -i, 0*s - 5*i = -b*s + 140. Suppose 0 = 5*v + 5*y - s, -23 = -2*v + y - 0*y. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101120101 (base 3) to base 16.\nAnswer: 2d214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4 - 1. Let b = 32 - 22. Let y = b + -6. Put p, 1\/9, y in ascending order.\nAnswer: 1\/9, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2274276 is divided by 123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 2*q**3 - 2*q**3)*(21*q**2 - 33*q**2 + 17*q**2).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64094 + -290?\nAnswer: -64384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-6 - 1) + (51 - 45))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23710 and 34.\nAnswer: 403070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 27*b - 6. Let o be m(-2). What are the prime factors of 6\/(o\/(-5))*952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 6:34 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*y + 14. Let p(o) = 2*o + 4. Let u be p(y). Let c(z) = -z**3 - 5*z**2 + 7*z + 3. Let a be c(u). Let b(t) = 9*t + 4. What is b(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 1\/2, 2, -3\/7, -30.3?\nAnswer: -30.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 3*r**2 + 0*r**2)*(-r - 2 + 1 + 2).\nAnswer: -3*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 + 7*k + 10. Let s be t(-8). Let w = 717 + s. Calculate the greatest common divisor of w and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69812 + 700?\nAnswer: 70512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127575 divided by 4?\nAnswer: -127575\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/72 and -5\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7203 and 1323?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-5 - (3 + -6)) - (-114 - -120).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 67 = -5*s, -3*p + 10*s + 237 = 7*s. What is the remainder when p is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1097 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**34)\/l)\/(l*l**(-33)*l))\/((l*l**(-13))\/(l\/l**(-1\/12))) assuming l is positive.\nAnswer: l**(949\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 + 14612*t - 24130496 = 0. Calculate t.\nAnswer: 2522, 4784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40822382 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((-2)\/15). Let m = 12 + j. Suppose -m*i + 3*i = 0. Which is smaller: i or 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/7, -3\/5, -3, -2\/5, -15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/5 (c) -7 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3168?\nAnswer: -3168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**3 - 125*f**2 - 41*f - 94. List the prime factors of j(-24).\nAnswer: 2, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.2 (c) -6 (d) -91 (e) 0 (f) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33498 divided by 18.\nAnswer: -1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b - 23. Suppose -3*s = 11*s + 28. Let h = s + -10. Calculate the remainder when f(h) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = j + 4*a, 11*j - 15*j + 5*a + 6 = 0. Solve -k + j*o + 13 = 0, -4*o - 19 = 2*k - k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 6\/913, 0.5, 109?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 188075333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -1729, -3857, -6837, -10669, -15353, -20889?\nAnswer: -27277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/6)\/((-6)\/(-8)). Suppose -36 = 3*f + g - s, -2*f = -2*g + 8. Let l be (1 - f)*344*-125. What is l rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 26 (b) -0.1 (c) 0.1 (d) 2\/11 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/5 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-15))\/((-4)\/(-10)). What is the third derivative of 17*l**3 - 33*l**4 - 17*l**3 + 10*l**n + 13*l**2 wrt l?\nAnswer: -792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7*5 - 0)*14\/(-14) is divided by -1 - -10*(2 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 420 + -419.9. Put h, 13, 2, -1 in increasing order.\nAnswer: -1, h, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (0 - 668\/(-52)) + (-8)\/(-52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + 0.14. Let j = -1173162 + 1173162.06000035. Let v = m - j. What is v rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 186 - -200?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 = -5*y + y, 0 = -y - 5*g - 9. Let r be -3*y\/(-5)*15. Suppose -3*a + 0*a = -r. Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5.5. Let o = z + 1.5. Let m = 5.2572 - 0.2572. Which is the nearest to -1\/5? (a) -2\/17 (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 615019.5?\nAnswer: -184505.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17013294*x**6 + 7*x**3 - 12*x**2 + x - 1339191 wrt x?\nAnswer: -2041595280*x**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -97, -348, -843, -1666, -2901, -4632?\nAnswer: -6943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8050788 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2354)\/(-1092) + -2*(-85)\/(-102) and 30\/49?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 + -75. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1394, -5616, -12672, -22562?\n\"Answer: -1417*t**2 + 29*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41864209?\nAnswer: 23, 193, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 99 = 3*c, -3*c + 128 = -2*r - 2*r. Let v = -24 - r. Is (-177)\/3*(-6 + v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5711, -23182, -52333, -93176, -145723, -209986, -285977?\nAnswer: -373708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j + 20. Let s be j\/18 + (-1060)\/(-5175). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 11. What is the remainder when 7 is divided by h\/(-1) + (0 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(882)*-3 + sqrt(882) + sqrt(882))\/(sqrt(24)*-4 + sqrt(72)\/sqrt(192)).\nAnswer: 112*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3922250?\nAnswer: 2, 5, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 59 - ((1 - (15 + (27 - 22))) + 29)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 39 = -3*q - 4*j, 10 = -2*j. Let h be 21\/q - 2\/(-9). Which is the nearest to h? (a) -0.5 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-11))\/(9\/6). Let n = -10.3 + 10. Which is the closest to -0.2? (a) n (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let m = -9 - -9.2. Let d = 0.7 - m. Which is the closest to h? (a) d (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/((-60)\/(-20)*2\/3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - 0) - (0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4134110 to the power of 1\/2, to the nearest integer?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 10:43 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15195712 divided by 448\nAnswer: -33919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -u - 7 + 5, 0 = -4*i - 4*u. Let t = -2.4 + 4.25. Let y = t - -0.15. Which is the smallest value? (a) i (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*-1*(-1)\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*r - 40, 4*j - 8*r - 44 = -5*r. Solve 6*v = j*v + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*k - 6185 = 2845. Let n be (-59)\/(-105) - k\/301. Solve 4\/3*i**2 + 64\/15 - n*i**3 - 64\/15*i = 0 for i.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 281*t - 24989. What is d(89)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 - 8*b - 6*b + 0 - 2 to the form o*b + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.824 - 13. Let n = g + -86.824. Let i = -87.0000122 - n. What is i rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-234)*13)\/((-10)\/380)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6*l = -9*l + 1, y = l + 1. Let q = 3.2 - -0.8. What is the smallest value in q, 0.5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*d - 17139 + 2334 - 2303 = 0 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j**3 - 6*j**2 + 6*j. Let i be (-10 + (-42)\/(-4))\/(2\/24). Let h(l) = -11*l**3 - 7*l**2 + 7*l. What is i*h(u) - 7*x(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.211 take away -0.1574?\nAnswer: -0.0536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(171) - sqrt(171)) - sqrt(171) - sqrt(171))\/(sqrt(441) + 3*sqrt(441)).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -714, -6353, -21654, -51447, -100562?\n\"Answer: -805*r**3 - r**2 - r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1468498, -2936984, -4405470?\nAnswer: -5873956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 3. What is the remainder when 51 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -5, -4 in increasing order.\nAnswer: -6, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12*d**3 + 5*d**2 - 5*d + 5. Let i(p) = 42*p**3 + 18*p**2 - 18*p + 18. What is -5*i(h) + 18*z(h)?\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -503 - -238. Let m = o + 261. What is the fourth biggest value in 1\/2, m, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36229000 to the nearest 100000.\nAnswer: 36200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 391, 1730, 3901, 6856, 10547?\n\"Answer: -8*b**3 + 464*b**2 + 3*b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3)\/(7\/672). Find the common denominator of 1096\/d + -1*(-3)\/9 and 59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.6 - -36.62585. What is z rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006560008 rounded to 7 dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80564298, 161128603, 241692910, 322257219, 402821530, 483385843?\n\"Answer: h**2 + 80564302*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 - 12. Give m(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1111 and 11935?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933445 is divided by 94.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*j + 7, 0 = 3*t + 2*t - 5*j - 25. Let h(n) = -4*n - 1 + 5*n**2 + n**t - 2*n**3 + n. What are the prime factors of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328\/84 - 2\/(-21)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 71*g - 40. Let a be h(-35). Let t be -8 + 2\/a*-30. Put -2, 13, t in ascending order.\nAnswer: -2, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 84898.8 days?\nAnswer: 7335256320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 14*k - 11*k - 333, 3*j - k = 240. What is the highest common divisor of 648 and j?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 61\/2 of a kilometer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j. Let w(p) = -10*p**2 - 3*p + 2. Let b be w(-1). Let u(c) = -10*c + 2*c + c + c. Calculate b*u(l) + 3*k(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + sqrt(275) + 1 + sqrt(275) + -3 + sqrt(275) - sqrt(275) - (0 + sqrt(275) + -1 + sqrt(275)))*-4)**2.\nAnswer: -160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -378*a + 3545. What is z(6)?\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49\/208 + 2897\/1040. What is the common denominator of j and 11\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 35*f**2 + 18*f + 504. Let o be g(-32). Calculate the highest common divisor of o and 480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 396 = -4*c, -5*c + 105 = -f - 0*f. Let n = 31 - f. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 77338034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91509 and 105468?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127867 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 = -0.2038 - 10.7962. What is the second smallest value in 0.06, w, 0.4, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 31*k**4 + 2*k**3 + k**2 + 2*k - 586. Let s(b) = -b**4 - b**3 + b**2 - b + 4. Let y(u) = 2*s(u) + z(u). Differentiate y(w) wrt w.\nAnswer: 116*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98 and 63?\nAnswer: -6174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 2*c**2 - 72*c + 141. Let z be g(2). Let m(i) = 3*i + 44. Let w(v) = -v - 15. Let u(o) = -2*m(o) - 7*w(o). What is u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = -3*u, -3*m - 17*u = -16*u - 3. Is m smaller than -6\/499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1836 + -1093.3. Let v = 743 - o. Which is the biggest value? (a) -3\/5 (b) 14 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 1\/6, -3, 1553, 92 in ascending order.\nAnswer: -3, 1\/6, 62, 92, 1553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 462 = 3*r. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 341688064\/7 and 48812581 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoisspssxipsspispsi. Give prob of sequence xox.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4284 by -84.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -126*p**3 - 3*p**2 - 5*p - 67. Is w(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 45. Let d = -0.5 + 0.9. Suppose 0 = -4*q + 15 - 3. Sort d, w, q in decreasing order.\nAnswer: q, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1614 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 3*g**2 + 1\/12*g**4 + 13\/6*g**3 - 25*g + 0. What is the remainder when p(-15) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-18)\/60 + 984\/(-40) + 18\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 83330, -0.2 in decreasing order.\nAnswer: 83330, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000129837 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 2, 1 in descending order.\nAnswer: 98, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 75*v + 328 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -237\/1220123 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1201707 divided by 4\nAnswer: 1201707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44708 divided by -166.\nAnswer: -22354\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121076052583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1211*f**4 + f - 1787?\nAnswer: -4844*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*m**2 + 4*m**2 + 59*m**2 + (3 - 3 - 3)*(-2*m**2 + 3*m - 3*m) to t*m**2 + s + b*m and give t.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8.58 - -18.62\nAnswer: 10.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5881, 11768, 17655?\n\"Answer: 5887*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 8*o + 31. What is the remainder when m(-10) is divided by 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -366 - 0?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 1 + (-1997 - -1977) + (17 - -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7 and 281.0395?\nAnswer: 279.3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + 5*d**2 - d**2)*(40 - 4*d - 3 + 2*d**2 - 12) to f*d**2 + i*d**3 + b + r*d + w*d**4 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 19*r**2 + 5*r + 23. Let a = 162 - 40. Suppose -46 = 4*m - a. List the prime factors of i(m).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1074*h + 56695*h**2 + 2 + 2338*h**4 + 1606*h**4 - 56695*h**2 wrt h.\nAnswer: 47328*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 232. Let c(j) = 15*j. Calculate c(f(s)).\nAnswer: 30*s + 3480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 916300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1088*d**2. Let f(c) = c**2. What is f(l(x))?\nAnswer: 1183744*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 10. Let g be l(5). Suppose -6*n + 8*n - 134 = g. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 10504 + 10505 - 2*i + 26*i.\nAnswer: 14*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/36 - -5\/18. Which is the third smallest value? (a) 1 (b) -6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**5 - s**5 - s**5 + (-s**4 + 2*s - 2*s)*(-s - s + 3*s) - 3*s**5 + 3*s**5 - s**5 - 4*s**5 + 4*s**5 - 3*s**5)*(484 - 664 + 1483).\nAnswer: -9121*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400691 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-1701)*-9*(-18)\/(-10)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*a + 54*a + 5 - 5 - 2*a**2 - 102*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddv when four letters picked without replacement from {d: 12, v: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223085 by 447.\nAnswer: -223085\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.054708\nAnswer: 0.164124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -28086000 to the nearest one hundred thousand.\nAnswer: -28100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1759*l - 1587. Let u be g(1). Calculate the greatest common factor of 17372 and u.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -13685 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1417 - 9937\/7. Let h = 53 - 31. Calculate the common denominator of (1\/7)\/(1\/h) and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-12)\/16*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.8, -0.5, 1, 4, 37, -10, -0.3.\nAnswer: -10, -0.5, -0.3, 1, 4, 8.8, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, 0.1, -0.0711, 0.2, -4, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x + 3. Let d(y) = -8*y + 2. Give -3*b(k) + 2*d(k).\nAnswer: 5*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9219391*g + 819281 wrt g?\nAnswer: -9219391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 - -5.566. What is a rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kukkuuuuuuuukuuuuuu.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16544471 and -5?\nAnswer: 16544476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290)\/(-3625) - (-198)\/(-300)*952\/(-21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + 33. Let f = i - 68. Let b be -2 - (13 - f)*18\/(-24). Let y(v) = v + 2. Give y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -4*n + 3*x - 71, 5*x - 101 = -4*n. Let o = n + -22. Suppose 0 = -o*g + 8*g - 653. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*w = 265*w - 2353990. What is w rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:00 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_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: What is -211395081400 rounded to the nearest 1000000?\nAnswer: -211395000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40345 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 41241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w**2 + 25*w + 289. Let d(y) = 8*y**2 + 8*y + 95. Let k(h) = -22*d(h) + 8*q(h). What is the first derivative of k(n) wrt n?\nAnswer: 16*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23207.036 and -6?\nAnswer: -139242.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 + -89. Let q = d - 90. Suppose -4*w - t = -7*w - 1019996, 0 = -w - q*t - 340016. What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -10*g**7\/21 + g**6\/6 + 17*g**5 + 635*g**4\/12 + 110*g**3\/3 - 50*g**2 - g - 2. What is a in q(a) = 0?\nAnswer: -2, -1, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52008 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 363424320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-142)\/213)\/(3\/(-45))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6649 + 21258157633.\nAnswer: 21258164282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118597541 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -8, 1032.\nAnswer: -8, -2\/15, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -181\/3953 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**8\/80640 - q**7\/6720 + q**6\/1440 - q**5\/30 - 3*q**2. Let i(f) be the third derivative of s(f). Solve i(n) = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 694 = -4*d, 3*c = 2*c + 4*d + 353. Let l = c + -323. Calculate the highest common divisor of 63 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21990286111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -136974, -273946, -410918, -547890?\n\"Answer: -136972*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 19\/(-95))*7?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 + 227. Let b be ((-56)\/l)\/(1 - (-42)\/(-40)). Solve -5*g = -g + 4*q + b, -5*q - 15 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15782 divided by -11.\nAnswer: 15782\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10 + 10 - 2*c. Let n(b) be the first derivative of b**2\/2 + b - 2. Let x(s) = 2. Let j(h) = -2*n(h) + x(h). Calculate w(j(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/31, -0.2, -2\/31, -5 in ascending order.\nAnswer: -5, -0.4, -0.2, -2\/31, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787872117 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13411831 to the nearest integer?\nAnswer: 3662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.16 - 30. Let v = -0.1601 + x. Round v to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 s, and 1 e when four letters picked without replacement from viasiee?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 3*j - 9. Let s(d) = 8*d**2 - 10*d + 26. Let x be (5\/(-5))\/(1\/2). Let u = x - -6. Let k(r) = u*s(r) + 11*c(r). Determine k(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 130.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -505, -1010, -1515, -2020, -2525?\n\"Answer: -505*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30902893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102966149*m**3*o**3 + 82*m**2*o**3 + 2*m**2 - 19*m*o**2 + 2*m*o - 3*o + 15 wrt m?\nAnswer: -617796894*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 - 2 = 0. Suppose k + 0*x - 3*x = i, -k = -4*x - 2. Let l = 18 - 18. Is l equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/5 + 89*i**3\/5 + 2484*i**2\/5 + 4284*i.\nAnswer: i*(i + 17)*(i + 30)*(i + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -14849*z**5\/20 + z**4\/6 + 212*z**3 + z**2 + 975*z. Find the third derivative of t(l) wrt l.\nAnswer: -89094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + -11 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j*j**(1\/6)\/j)\/(j**(3\/10)*(j*(j*j\/((j\/((j\/(j\/(j\/j**(-3\/7))))\/j))\/j))\/j)\/j))**1 assuming j is positive.\nAnswer: j**(46\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14669, 58589, 131789, 234269, 366029, 527069?\n\"Answer: 14640*g**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 43. Let o(n) = 2*n**3 + 9*n**2 - 6*n - 4. Let p be o(-5). Let m(t) = -t - 1. Let a(d) = p*s(d) + 3*m(d). What are the prime factors of a(12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1271355636 to 3 dps.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - f + 5*f + (13*f - 11*f + 12*f)*(-2 + 0 + 1) in the form p + j*f and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.3 + 0.7. Let j = -4.59 - 185.41. Let d = 189.9 + j. Which is the closest to d? (a) q (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*f + 22. Let x = 43 + f. Let n = -7 + x. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -25741*u + 25736*u + 3, u + 2*p + 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Let a be (-2)\/(-13) - 6\/39. Suppose 4*p + 0 = -2*m + 6, a = 2*m + p - 9. Solve 0 = 2*f - k*f + 2*g + 1, f + 5 = m*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.076 (b) -1 (c) -3 (d) -0.11 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*t = 9, 0*t - 3*t = 5*r - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n - 4 - n + 2*n + 0*n - n**2. Let k be p(9). Solve -k*b = -4*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:38 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 29. Let a = k + 32. Solve 0*d - 2*d = -5*c + a, -4*c + 4 = 2*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 9708 = 3*x - 17*m + 6*m + 9715, -38*x - 4*m = 156 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 3*m**2 - m + 1. Let h(a) = -396*a**3 + 18*a**2 - 2*a + 2. Determine h(z) - 2*n(z).\nAnswer: -394*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**5 - z**4 + 31*z**3 - 61*z**2 + 50*z - 13. Let w(h) = -3*h**5 - 15*h**3 + 30*h**2 - 24*h + 6. Let u(g) = 6*i(g) + 13*w(g). Factor u(q).\nAnswer: 3*q*(q - 2)*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 6*z + 2. Let p = -8 - -14. Let j be q(p). Solve -2*b = -j - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6762451 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*t + 8, 3*u + 3*t - 2 = -26. Let s(n) = 6*n**3 - 2*n**2 - n. Let c be s(-1). Let r = c - -5. Sort u, r, 0 in descending order.\nAnswer: 0, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 41*u + 103 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2172842, -3, 5.\nAnswer: -2172842, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -814, -1629, -2444, -3259, -4074?\n\"Answer: -815*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 - 5*o + 9 - 4 - 4.\nAnswer: -5*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by ((-8)\/10)\/(7\/(-175)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 - 5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.51 - 0.01. Let r = 1 - i. Let b be ((-3)\/(-10))\/(30\/(-25)). Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 + 3*d - 3. Let p(n) = 2*n**2 + n - 1. Let h(r) = m(r) - 3*p(r). Let k(v) = 231*v**2. Calculate k(h(l)).\nAnswer: 924*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1911, 7679, 17305, 30801, 48179, 69451, 94629?\nAnswer: 123725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 10 = -2*k, 392*b + 30 = -3*k + 389*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37882 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 4 - 5)*-55. Let b be -7 - -9 - (-8)\/(-4). Suppose -2*x = d - 112 - k, b = 5*d - 5*x - 1050. What are the prime factors of d?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*f**3 + 27990 - 55987 + 27997.\nAnswer: -82*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + (-184 - -192).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 86333.31 nanometers?\nAnswer: 0.00008633331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*c + 36336 = 17982 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -183477194098?\nAnswer: 183477194098.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2724235 divided by -5\nAnswer: -544847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 721 - 705 = 4*j, -k - 5*j - 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 12:44 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -447 or -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k\/k**(1\/14))\/k))\/(k**6\/k))\/(k\/k**(8\/9)*k*k*k\/k**13))**10 assuming k is positive.\nAnswer: k**(3125\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/7*p**2 + 47\/7*p - 1\/7*p**3 + 24\/7.\nAnswer: -(p - 24)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:34 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7148295 by 3.\nAnswer: 2382765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/499, 5, -0.07 in increasing order.\nAnswer: -0.07, -2\/499, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:17 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmzo when four letters picked without replacement from zpmcjozoj?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -423, 47, 967, 2487, 4757, 7927, 12147?\nAnswer: 17567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 - 7*m**2 + 9*m - 15. Let q be l(4). Suppose w + q = -0*w. Let b = w - -142. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1453, -0.2.\nAnswer: -1453, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 105*o**2 + 109*o + 305. Determine r(-106).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**4 + 5*o**2 + 5*o + 13. Let z = -21 - -26. Let g(r) = -40*r**4 + 24*r**2 + 24*r + 64. Let p(w) = z*g(w) - 24*k(w). Differentiate p(y) wrt y.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = 7*w. Let q(b) = w - 3 - b + 3 + 0. Let c(n) = -1. Suppose 0 = -x - d, -3*x - 2*d + 1 - 2 = 0. Calculate x*c(z) - q(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5021*d + 2190 = -5167*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/(7\/(-56)*4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let x be f(4). Suppose -4*y + 128 = x*d - 0*d, 12 = 3*d. What is the remainder when y is divided by (-5)\/15 + (-46)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*v - 270 = -440*v + 239*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -14*x**3\/3 + 16*x**2 - 8*x + 1. Solve a(u) = 0 for u.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 137*s**2 + 80*s - 314. List the prime factors of b(4).\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 18*l = 24. Let b = -73 - -153\/2. Is l > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 less than or equal to 431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -321?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:32 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -4, 29, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15673*b + 15671*b + 62 = 0 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1351 (b) 0.3 (c) 221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1569 + 1569.11. Sort s, 4.3, -1\/6, -0.5 in descending order.\nAnswer: 4.3, s, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12 + n - 23 + 4*n**2 - 9*n - 3*n**2. Let b be q(9). Let t = 8 - 5. Sort b, t, 5 in descending order.\nAnswer: 5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78421120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 39. Let s(i) = i**3 - 3*i**2 + i - 3. Let g be s(3). Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28 and 42.031.\nAnswer: 70.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-88) - 4\/(-22)) + -12967. Let g = -570599\/44 - b. What is the common denominator of g and -19\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -44, -168, -384, -716, -1188, -1824?\nAnswer: -2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 28. Calculate the smallest common multiple of o and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 1. Let j(h) = h**3 - 5*h**2 - 19*h + 4. Calculate -j(g) - 5*n(g).\nAnswer: -g**3 + 19*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 9, -5 = 4*j + 5*q - 2. Let y(w) = 342*w + 1032. Let a be y(-3). Solve -3*g - a = -0*g - 2*r, 0 = -3*g + r - j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:30 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237536 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = -389 + 1489. What is the remainder when x is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202*h**3*n**2 + 351*h**3 + 1373*h*n**3 - 12*h*n**2 + 86*n + 5 wrt n?\nAnswer: 404*h**3 + 8238*h*n - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2692\/15 + -18539\/105. Calculate the common denominator of 6\/77 and k.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 - r - 6. Let x(n) = -n - 6. Let j be x(-8). Let k = 232 + -223. Let a be 0\/((-21)\/27 - j\/k). Determine b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4 + 4*m**3 - 8*m**2 - 4*m + 6 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*j**4 - 2*j**2 + 7*j + 36206?\nAnswer: 504*j**3 - 4*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -4, 8, 4, 2\/13 in ascending order.\nAnswer: -4, -5\/4, 2\/13, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -212*b - 3196. List the prime factors of h(-16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 5*o + 21 = -8*d - 0*d, -10*o - 15 = -22*o + 15*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 427.5 - 993. Round k to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**4 - 9*j**3 - 34*j**2 + 6. Let c(x) = x**4 - 10*x**3 - 32*x**2 + 5. Let s(i) = -6*c(i) + 5*w(i). Find the third derivative of s(m) wrt m.\nAnswer: -24*m + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 15.\nAnswer: -37\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + g - g)*(-4 + 5 - 3) + 2*g + 26122 - 25802 + g as t + z*g and give t.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364915, -729838, -1094761, -1459684?\nAnswer: -1824607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -1373.\nAnswer: -74\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 3. Let j(f) = f - 2. Suppose 0 = 3*h + v - 14, -v = 2*h - 0*v - 9. Let z(p) = h*j(p) + 4*k(p). Find the first derivative of z(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 28*y = -3*o - 0*y + 33, 4*o = -4*y - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222729729 is divided by 310.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 576*a**4 + 3*a*w**3 + 1883*w**3 wrt a?\nAnswer: 2304*a**3 + 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*d = -16, -3*d - 5 = -u + d. Suppose 0 = 2*v + 5*f - 174, -u*v - f + 182 = -11*v. What is the remainder when v is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, e: 2, s: 6, y: 1}. Give prob of picking 2 e and 2 h.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88058382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 110?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1 - (3 + 0). Let z be -1*(-2)\/(o\/(-2)). Let b(m) = 19*m + 167. Let x(q) = 9*q + 76. Let d(j) = -5*b(j) + 11*x(j). What is d(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106945 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 3*u = 27, 0 = -2*k - 5*u + 54. Let r be k\/6*(-2)\/(-3). Let j(p) = 3*p**2. Let d be j(1). Solve 3 = -i - 3*f, r*i + d = -f + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10569318?\nAnswer: 2, 3, 1761553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1190 + 527*h - 608 - 584)*(-4*h + 2*h - 2*h**2 + h**2) to the form k + y*h**2 + u*h**3 + r*h and give y.\nAnswer: -1052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -7. Let q be 7*w\/2 - 1. Let x be (-20)\/(-45)*(-3)\/q. What is the nearest to 0.2 in x, -5, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/6 + 10*l. Let n(j) = -34 - 6*j**2 + 34. Give n(v(t)).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1812 divide 19540257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8693525*n**2 + 12630798*n?\nAnswer: -17387050","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 7. Let d(y) = 3*y + 20. Let k(f) = 3*d(f) - 8*o(f). Let a = -302 + 308. What is k(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704*v + 1706*v = -27*g - 316, 22*v = -5*g + 21*v - 56 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4060870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-4)\/m)\/(m\/(m\/((m\/(m\/(m*(m*m**(3\/7)\/m*m)\/m)))\/m)*m)))**(4\/29))**(21\/8))**(13\/2) assuming m is positive.\nAnswer: m**(-1209\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -5. Suppose 2 + r = -4*v. Let g(w) = -2*w**2 - w. Let n(s) = -s**2. Let o(p) = -3*g(p) + 3*n(p). Calculate o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 182475*d - 17653030 = 0. What is d?\nAnswer: 97, 36398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.89 + -343.89. Which is bigger: h or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000101202200 + -21?\nAnswer: -10000101202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 204942.24.\nAnswer: -204942.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45108.96 weeks?\nAnswer: 27281899008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378820 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.73 - 1.73. Let l = -0.8 + 3.8. Which is the nearest to 0.1? (a) -0.2 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*r + 28 = 0, -4*y = 2*r - 6*r + 4. List the prime factors of 3320\/8 - y*(-2)\/3.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 6, v: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -965 + 970. Suppose -496 - 1429 = -q + m, -25 = f*m. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhhswwwwoohswgwogw. Give prob of picking 1 s and 1 h.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 5*d + 2*d + 4*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3475592 is divided by 746?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (1 + 0 - 3). Suppose -4 = 3*u - r*v, 2*v = -6*u + u + 2. Let q(d) = d - 3. Let t be q(u). Put t, 3, 5 in increasing order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(599505\/(-14106)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -17. Let h = -27.4 + n. Let u = -3.2 + h. Which is the closest to 0.1? (a) u (b) -1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 13. Suppose -5*o - 13 = -2*o + 5*w, l*o + 5*w + 5 = 0. Solve -o*c + 15 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:02 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95384352 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1134432 by 36.\nAnswer: -31512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14582 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efyv when four letters picked without replacement from efffvfyff.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*w + 1100*k - 14 = 1095*k, 4*k - 16 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 47, 75, 113?\n\"Answer: 5*c**2 + 3*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 2*v - 2*v + 2*v. Let f(l) = -20*l + 14. Let i(t) = -f(t) - 5*g(t). What is the derivative of i(o) wrt o?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*d - 3*d - 25 = 0, 0 = 4*d. Let x be (-3 + 4 + -1)\/((-5)\/z). Which is greater: x or 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + 48\/70. What is the nearest to i in 3, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/5 + 24414*i**4\/5 + 219618*i**3\/5 + 658746*i**2\/5 + 658692*i\/5 = 0. Calculate i.\nAnswer: -12198, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-1 + sqrt(2057)*-1 + sqrt(2057) + -5*(sqrt(2057)*1 + sqrt(2057)) - (-2 + (sqrt(2057) - -2*sqrt(2057)) + 2)))*-1)**2.\nAnswer: 1716*sqrt(17) + 347669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -89*j**4\/6 - 475*j. Let l(o) = 2*o. Calculate q(l(y)).\nAnswer: -712*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419 + 424. Let d = 3 + -2. Let z(l) = 3. Let h(y) = -1. Let q(x) = 4*h(x) + z(x). Let t(s) = -s + 8. Calculate d*t(c) + g*q(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) 4 (b) -2 (c) 1\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-124))\/((-6)\/(-176773924)). Let f = y + -1663184. Let p = -2\/93 + f. What is the common denominator of -59\/18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, g: 3, b: 1, w: 1, x: 2, i: 1}. What is prob of sequence ug?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31*(-1)\/6 - 83\/(-498).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9 - 4*r - 4 - 3*r + 10*r. Let a be u(3). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 87217.\nAnswer: -9593.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:24 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/37 (c) 34 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 11 - 9 = 2*q, 0 = 4*a + q - 1. Solve 5*r - 319 + 309 = a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 3*h**4\/4 - 8*h**2. Let l(c) = c**2. What is l(z(q))?\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l**3\/2 + 455123*l**2 + 1500985760*l - 43507216 = 0 for l.\nAnswer: -6596, 2\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7737782.34 rounded to the nearest 10000?\nAnswer: 7740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*y + 95142, 0 = -3*q + 2*y - 17576 + 74670. What is q rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/260)\/(2\/(-64))*((-6)\/1)\/(-3)\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**2)*((o*o**(-3\/2))\/o)\/o)\/(o*o**(-2\/5)\/o)**(-3\/11) assuming o is positive.\nAnswer: o**(-67\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 49.6. Let t = -0.6 - w. Let o = -972 - -971.9. Is t less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from eeiijjjieewiwii?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c + 7. What is o(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6395 - -6395.2. Sort -3\/4, r, 511 in decreasing order.\nAnswer: 511, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 186*t - 1677. Let z be i(9). What is the closest to 1 in 1, -0.92, z, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:47 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - x**4 + x**4 + 13 - 13 - 5*x**4 - x**4 + x - x + (2*x**3 + 3*x**3 - 6*x**3)*(3*x - 4*x + 3*x).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c**3 + 16*c**2 + 59*c + 30 = 0. Calculate c.\nAnswer: -1, -10\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*s + 478*s + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 614 = 17*z. Suppose 2*t - z = -0*v + 5*v, 5*t = 3*v + 796. Calculate the remainder when t is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w - 38. Let h be j(-8). Solve 5*i - 5*k = -4 + h, 14 = 3*i + k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 9*r**2 + 2*r + 65. Determine n(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92205899.\nAnswer: 92205899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 25*t + 81 = 0, 26*t = 31*t + 50. What is the remainder when m is divided by 34\/4*(-4)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94 from -16038059.\nAnswer: -16038153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/(-154)*((-18)\/(-4) + -4). What is the fifth biggest value in 3, -0.5, -0.1, p, 1\/123?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + 3 - 3 + 16*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 449941, 449942, 449943, 449944, 449945, 449946?\n\"Answer: t + 449940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4296 and 840433998.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18489684203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 51 = 3*i, i - 3*w - 26 = 11. Suppose -85 = h - i. Calculate the lowest common multiple of 8 and (-4)\/(-14) + (-1368)\/h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 7*q - 2. Let k = 26 + -12. Suppose 20 = p + k. Determine z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36475, -37235, -37995?\n\"Answer: -760*m - 35715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.2979349 rounded to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18\/(-4)*(1 + -51) - (51 - 46) and 3212?\nAnswer: 16060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, -3, 0.5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1331\/10 - -131. Let z = -589\/4 + 2773\/20. What is the common denominator of k and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105062 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 540\/(-24)*(-18)\/(-15)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(343) + 0).\nAnswer: -14*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (0 + 9)) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 123? (a) 0 (b) -1\/2 (c) -5 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16 - -15 - 42\/1. Let f = o - -130\/3. Is -5\/4 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/65626 and -73\/190?\nAnswer: 328130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*k**3 + 16*k**2 - 38*k - 272732 wrt k?\nAnswer: 12*k**2 + 32*k - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 16*d**2 - d - 1. Suppose 2*c + 5*q - q - 26 = 0, 4*q = 2*c + 14. Suppose 5*w - 1 = 2*r + r, -c*w + r = 1. What is n(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 338 - 326. Let p be 917\/42 + 2\/b. Calculate the greatest common factor of 55 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkxkkkxppkwwkpxpwx. What is prob of sequence pkx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 305085*d - 41 + 106 - 34.\nAnswer: 305085*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54434679 and -73.2.\nAnswer: -54434752.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.7, 36, -46?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 15*j - 6*j. Let c = 1 - -4. Solve -c*i + j = -9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*q + 3 - 4)*(45 - 13*q - 45) + (-6*q + 16*q + 10*q)*(-q + 3*q - q).\nAnswer: 46*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 16*p - 11*p. Suppose -22*c + 14 = -23*c. Sort c, -3, -6, p in decreasing order.\nAnswer: -3, p, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 32. Suppose -6*o - 132 = -z*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 22. Suppose 4*t - 3*t - 23 = h. What is the remainder when 90 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177378 and 18870.\nAnswer: 886890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1859052ml?\nAnswer: 0.0001859052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*13)\/(0 + 1). Suppose -a = -3*f - 50, -5*a = -f + 3 - 15. Let z = b + f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 1 + -3 + (36 - 37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*g - 2. Let u = -5 + g. Solve -5*c - 13 = u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*s**3 - 158*s**3 + 60*s**3 - 209*s**3.\nAnswer: -925*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 + 21*u**2 - 9*u + 85. Determine t(6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4758483 is divided by 91509?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:42 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 12*i - 5*m - 963, 4*i = -4*m + 1008. What are the prime factors of i?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -2, -19, -1 in increasing order.\nAnswer: -19, -2, -1, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/3, -1, -3, -1\/8, -2, -5, 0.0290928?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11 = -4*d, 2*d - d - 5*f = 20. Suppose 3*x = 4*o + 1 - 205, -d*x + 5*o = 335. Let b = -1 - x. Calculate the greatest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -1, -2\/5, 4, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let h(m) = 3*m**2 - m. Let j be h(g). What are the prime factors of (-1)\/(26\/14 - j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 - 26*j + 49. Give k(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t**3 - 3*t + 249*t**2 - 100*t**2 - 94*t**2 - 63*t**2 - 2 as m + o*t**3 + z*t**2 + k*t and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 2, m: 1, j: 1}. Give prob of sequence nm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -12. Let w = c + -6. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1177 divide 1686583327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - (-1 + -3 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4084*q**5 + 13289*q**2 wrt q.\nAnswer: -245040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = j - c - 1, 0 = -2*j + 3*c - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o + 4. Give p(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.03488336 - 1.56488293. Let a = 0.53 + y. What is a rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*l, i - 4*i + 8 = -l. Suppose 390 = 4*t + i*t. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2485950286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*-3)\/(sqrt(16)*3).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 2077*o**6\/120 - o**5\/60 - 335*o**4\/12 - o**3\/3 + 6*o**2 + 3*o - 7. Find the second derivative of v(j) wrt j.\nAnswer: 12462*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*n)*(50*n**2 + 0*n**2 - 111*n + 110*n).\nAnswer: 200*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - 3*a**2 - 4*a**2 + a**2 in the form p*a + q + r*a**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10423509 > -10423510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -23*b**3 + 6*b**2 + 9*b + 8. Let n(r) = 8*r**3 - 2*r**2 - 3*r - 3. Give 3*c(k) + 8*n(k).\nAnswer: -5*k**3 + 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3640?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 1\/3*b**3 - b + 7\/2*b**2 - 3. What is x(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -5*s - 0*d, -2*s + 2*d - 4 = 0. Let x(u) = -17*u + 1. Determine x(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*(3\/18)\/(((-28)\/(-8))\/7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b. Let s be ((-21)\/6)\/((-4)\/24). Let u = s + -14. Let i(l) = u*l + l**2 - 7*l - 3*l**2. Give j(i(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 33 = 5*g + 2*o, 20 = 2*g - 2*o. Let s be (-4)\/(-1) + (8 - g). Solve s + 8 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by ((-46)\/(-8))\/((-54)\/(-648))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3564) + 2)*4)**2 + (sqrt(176) + 1 + 5)**2 + (((sqrt(110) - (sqrt(110) - 2*sqrt(110))) + sqrt(110))\/sqrt(10) + sqrt(11))**2 + 0.\nAnswer: 2352*sqrt(11) + 228548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.160104 grams in nanograms?\nAnswer: 1160104000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**4\/4 - a**3\/2 - 104*a**2 + 2. Give y(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 5*g + 10 as z + k*g and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3900)\/(111 + 39) - (-7 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 1\/2*g**3 - g**2 - 5\/24*g**4 + 0 + 1\/120*g**6 - 1\/60*g**5 + 0*g. Suppose 3*d - 9 = -0. Calculate m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 3}. Give prob of picking 2 x and 1 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10924268161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-37)\/(h**(2\/3)\/(h*h**2*h*h*h))*(h**(-2)\/((h*h**(-2\/7)*h)\/h))**36 assuming h is positive.\nAnswer: h**(-2717\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 4*g + 22 + 3*g + 0*g**2 - 6*g. Is y(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1340186 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 56680 - 41*b + 0*b**2 - b**2 + 22*b.\nAnswer: -b**2 - 13*b - 56680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -21, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 21*l - 83. What is v(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-50)*2*(-22)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 708.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 15 = -4*h + 27, 0 = -4*h - 5*n - 33 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/15))**(25\/2)\/((b\/(b*b**(-10)))\/b)**(2\/39) assuming b is positive.\nAnswer: b**(29\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-600)\/36) + (-4)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2 - 207. Let g(k) = -16*k + 1. What is g(p(a))?\nAnswer: -32*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j**5)\/((((j*((j*j**(-5))\/j)\/j)\/j)\/j)\/(j*j\/j**(-4)*j)))\/((((j\/j**(-4\/5))\/j)\/j*j**(-1\/5))\/((j**(-2\/13)*j)\/j*j**(-3))) assuming j is positive.\nAnswer: j**(1186\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - g)*(4 - 3 + 1).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10361486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*s - 2, -3*s = -3 - 0. Let i(c) be the third derivative of 1\/540*c**6 + 0 + 1\/108*c**4 + 2*c**2 + 0*c + d*c**3 + 1\/135*c**5. Factor i(g).\nAnswer: 2*g*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17017*z**5 - 3401*z**2 wrt z?\nAnswer: -1021020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/25)\/x**(3\/8) assuming x is positive.\nAnswer: x**(-91\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 76619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 49*b**2 - 139*b - 36. Let q be l(-46). Suppose -2*x - 93 = -w, -q = x - 6*x. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1536\/7 + -220. What is the nearest to -0.1 in p, 3\/4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, z: 2}. What is prob of picking 4 k?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 10*n + 11 = -l, -n = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 997*b - 993*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 842402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22740\/215 - (-530)\/2279?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336670 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13345.\nAnswer: 5, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 7*x**2 - 10*x - 25. Let q be d(-5). What is the greatest common divisor of 40 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 93*j - 380. Determine h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apc when three letters picked without replacement from asspcbccbclspal?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 13 = 3*i - 6*i, 2*i = -4*h - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 + 2*m**2 - 4*m**5 + 2*m**4 + 4*m**3 - 4*m**4 + 4*m**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 - -286. Let g = q + -83.3. Sort g, -0.02, -2.\nAnswer: -2, g, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86798117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473 and 522195311?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 363082523.\nAnswer: 363082522.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 5*j**5 - 5*j**5 + (-j**4 + 3 - 3)*(-j - 2*j - 2*j).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/1078 and 8\/40066103.\nAnswer: 560925442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(154)\/sqrt(44))\/sqrt(2))**2 - 3*sqrt(84)\/(sqrt(48)\/sqrt(4)*-6).\nAnswer: -9\/4 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + -4520)*4716\/(-917)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120345 (base 9) to base 2\nAnswer: 10001101100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 + 86 + -8)*(1 + (-14)\/6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from gkdtntwndggngwn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12214 + 4?\nAnswer: 12223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Suppose -3*r - 1 = -v, 2*r - r = 2*v - 7. Suppose 2*p + 6 = -4*u, 3*u - 4 = -u - v*p. What is the second biggest value in u, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5\/3 + 344*f**4\/3 + 1532*f**3 - 120400*f**2\/3 + 490000*f\/3 = 0.\nAnswer: -50, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 932*r + 902*r + 498*r + 318*r to x + j*r and give j.\nAnswer: 2650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 - 4*k**2 + 25. Let p(m) = m**3 - 2*m**2 + 1. Give 3*g(v) - 6*p(v).\nAnswer: 3*v**3 + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29 + (-1)\/((-4 + 3)\/2*2). Which is bigger: -0.09 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*p = -29, j - 2*j = 2*p - 11. Suppose 0 = q - j*q. Solve -4*m + 0*m = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 2\/7, -3, -5, -161, -4.68?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 5:51 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 13667?\nAnswer: -4100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 12\/(-9)) + (-7)\/21. Suppose 5*g - 1705 = m*x, 4*g - 1364 = -x + 2*x. List the prime factors of g.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.9 (b) 0.01 (c) -2 (d) -2.2 (e) 3 (f) 25 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpbbvvvpppppppapp. What is prob of picking 3 v?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, s: 2, d: 5, n: 2, a: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6494.26662 + 2773.\nAnswer: 9267.26662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -744356169, -744356168, -744356167, -744356166, -744356165, -744356164?\n\"Answer: t - 744356170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1929 - -1941. Calculate the lowest common multiple of 1872 and l.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Suppose -g*v - r = v + 3450004, 3*v = 3*r - 2069988. Round v to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/3 - 2*f**3\/3 + f. Let c be (0 - -2 - 2) + -4. Let n(t) = -3*t**2 - 3*t. Let l(d) = c*a(d) + 5*n(d). Calculate l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1910*g**2 - 1984*g**2 - 1906*g**2 + 9719*g**2 - 2155*g**2 - 2142*g**2.\nAnswer: -378*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13.7*0.3\nAnswer: -4.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31044 is divided by 1042?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(((-15)\/(-25))\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from ppcpppcpccp?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-6) + 1)*3. Let u be 812\/(-580)*2\/14. Which is the second smallest value? (a) 1 (b) u (c) -2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 36*l - 12*l + l**2 - 19*l - 2. Let y(o) = 9*o + o + 0*o + 19*o + 6*o**2 - 11. Let p(q) = 34*u(q) - 6*y(q). Factor p(a).\nAnswer: -2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/3 + 1156*a**4\/3 - 167042*a**3 + 96550276*a**2\/3 - 6975757441*a\/3 = 0. What is a?\nAnswer: 0, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i + 8. Let k be n(-8). Let o = k + -35. Let x be 21*(-1 + o + -3). Solve 3*q = 5*y - x, 4*y + q - 9 = 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3397*q**4 - 606*q**2 + 6*q. Let g(f) = 6794*f**4 - 1214*f**2 + 13*f. Let p(a) = -13*d(a) + 6*g(a). Find the third derivative of p(i) wrt i.\nAnswer: -81528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*f - 185*f + 44*f.\nAnswer: -220*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202744579 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 2*w = -12, -l - 10 = -4*w. Suppose 0 = -2*k + 4*d, -l*d - 2 = 2*k - 5*d. Let r(o) = 55*o - 2 - 92*o + 38*o. Calculate r(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0 + t**3 + 5*t + 5 - 8 + 6*t**2 + 4 - t**2. Let v = 8 - 12. What is c(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2807692 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 360471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*f**2*w**2 - 2*b**2*f*w - 9023*b**2*w**3 + b**2*w**2 - 16*b*f*w**2 + f**2*w**3 - 3*w**2 wrt w.\nAnswer: -54138*b**2 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 4*p - 2. Let q be n(-3). Let s(y) be the second derivative of 13*y**5\/20 - y**4\/12 + y**2\/2 - y. What is the tens digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -654.7591\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 + -146. Solve a + 12 = -2*b, 2*a + 0*a - 5*b - f = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*o + 2282 = -122*o - 123*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 20. Let f be d(8). Let p be 0 - (f\/(-2) - 495). Suppose -5*j + 2*j = 2*l - p, -4*l = -3*j - 941. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-406440)\/28)\/((-45)\/(-210)). What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1026044451 - -1?\nAnswer: -1026044450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109046 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1 = a, 20839*a + 17 = t + 20843*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(42\/(-26)) + 6\/42. Solve 3*r + b = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10206*c + 30621. Let j(d) = 4081*d + 12248. Let p(k) = 12*j(k) - 5*y(k). Find the first derivative of p(n) wrt n.\nAnswer: -2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 22*h + 62. What is s(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 9*b + 5. Let l be (5\/b)\/((-55)\/66). Suppose 15 = 3*z, 0 = -3*v - 2*v - z + 65. Solve -4*p = -l*i - 10, -2*i = 4*p - 10 - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2752*c**2*h*j - 2*c*j + 712*h*j wrt c.\nAnswer: 5504*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-5)*p*p\/(p\/((p**(2\/19)\/p)\/p))*p*(p**0)**(17\/4) assuming p is positive.\nAnswer: p**(116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12240 = 250*v - 233*v. Suppose v = -16*y + 32*y. Let c = 47 - 32. Calculate the greatest common factor of y and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1906 is divided by 475.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + (3 + sqrt(1900) + -1 + sqrt(1900) + sqrt(1900) - (2 + 2*sqrt(1900))))*1)**2.\nAnswer: -80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:14 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 112, 444, 998, 1774?\n\"Answer: 111*k**2 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -6, -9 in ascending order.\nAnswer: -9, -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven thirds of a hour?\nAnswer: 80400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2016?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.02947 * 0.00252\nAnswer: -0.0000742644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.93 + -0.07. Suppose 9*n = 12*n - 6. What is the nearest to n in 3, r, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/34, -2\/3, -4, 0.5, -78, 1\/4, 0.01?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/(-15) + 10\/(-25). Solve k + 0*n + 5 = -n, 2*k - a = 5*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x - 86*x + 28*x - 3520*x**2 + 3515*x**2 + 38*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let v(w) = 7*w**2 + 3*w + 62. What is v(y(c))?\nAnswer: 7*c**4 - 3*c**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from grlgrylylrylllg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3455, 2862, 2269, 1676, 1083, 490?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1532, -1491, -1432, -1355, -1260?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*z = -32, 4*y + 16 = -12*z + 10*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1259 + 1276. What is the remainder when r is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + 22 + 105 = -13 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-2))\/((-2)\/(-388))?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2696, -2627, -2558, -2489?\nAnswer: -2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 2*u. Let h(y) = -6*y**2 + 2*y + 4. Let c(f) = 2*h(f) - 4*s(f). What is o in c(o) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642.05377 + -0.085.\nAnswer: 641.96877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6379?\nAnswer: 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -12650\/47 and -270 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -42. Let v be (y\/(-27))\/((-8)\/(-198)). Let k = 17 - v. Which is the closest to 1? (a) -5 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2778 + 0.4722. Let v = 3.25 + -3. Let r = l + v. What is the closest to 1\/3 in -5, 1\/8, r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (sqrt(448)*5)**2) + sqrt(7) + 3*sqrt(28) - (1 + ((-1*sqrt(70))\/sqrt(10))**2 + sqrt(42)\/sqrt(54)).\nAnswer: -11208 + 26*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/2))**(1\/13)*(v\/(v*v**(-4\/5)))\/v**(5\/3))**31)**(2\/11) assuming v is positive.\nAnswer: v**(-10943\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + d - 16668, 0 = -c + 101*d - 104*d + 5548. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137840 - 493360. Round o to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/2, 5.9, 5, -1\/4 in ascending order.\nAnswer: -3\/2, -1\/4, 4, 5, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 17*a + 193. Let v be d(25). Let h(m) = 1. Let f(o) = -2*o - 15. Let b(l) = -f(l) - 6*h(l). Calculate b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 25*f**2 + 27*f - 22. Let t be w(26). Suppose a - t = -a. Solve -a*z = 2*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/9 + 34612*p**2\/9 - 149019320*p\/9 - 2106671728\/3 = 0.\nAnswer: -42, 8674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.362 times -13?\nAnswer: -4.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 159. Let s(k) = 21*k**2 + 231*k. Give s(u(t)).\nAnswer: 21*t**2 - 6909*t + 567630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -6. Suppose 2*w - 30 = 5*y - w, 5*y + 5*w = -70. Put -0.2, d, y, -2 in descending order.\nAnswer: d, -0.2, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*x + 21 = 3*d, -2*d - x = -4. Differentiate d - 3 - 3 + 2*j + 0 wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 38330955 = 19*j. Let b = 22066191 + j. Round b to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 296.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25289467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1181757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 5. Let l be (-4)\/(-16) + 110\/t. Solve 0*y = 3*y + f, 3*f + l = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1*q**(-6\/11)*q**2*q**0*q*q)\/(q*q\/((q*q\/(q**(-2\/17)\/q*q))\/q)*q*(q**(2\/13)*q)\/q)**(-2) assuming q is positive.\nAnswer: q**(18298\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23591\/18 or 1310?\nAnswer: 1310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(48))\/sqrt(6))\/(sqrt(360)\/sqrt(10)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7419, 29378, 65827, 116766, 182195?\nAnswer: 262114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:24 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 169934 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 1875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/(-50))\/(6\/20). Let r = y - -2. Is (-51)\/r*(-1 - 9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 7060*m + 6 - 14.\nAnswer: -7060*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3680 and 480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29808 and 2941792?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -11\/146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (187*y + 298*y - 730*y + y + 2*y - 5*y + (5 - 4 - 2)*(4*y + y - 3*y))*(-y + 0*y + 3*y) to d + m*y + o*y**2 and give o.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2\/6)\/(20\/(-24)). Let t be j\/3 + (-82)\/(-3). Solve -5*f + t = -3*p, -2 = -3*p - f - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 5*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 38 - 13. Let i = 2.01 - 2. Let t = i + -3.01. Put t, w, -4 in descending order.\nAnswer: w, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 25*f**7 + 1663*f**3\/6 - 4*f - 135. Find the second derivative of l(c) wrt c.\nAnswer: 21000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - -8 - (-7 + 11). Let c(a) be the first derivative of a**3\/3 - 4*a**2 + 12*a + 1. Let z be c(6). Solve k = -g - z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 4*j - 8, -3*z + 7*z - 7*j - 4*j - 5 = -0*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215683993?\nAnswer: 7, 30811999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*c + 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -16 (b) 1 (c) 0.24 (d) 3 (e) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102575 divided by -20515.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from oooooottoootoootto.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -3\/5 in decreasing order.\nAnswer: 2, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.282119 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 392*f - 21. Let g(z) = 261*z - 15. Give -7*g(c) + 5*y(c).\nAnswer: 133*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2753 and 0.122?\nAnswer: 2753.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/4 - 1) + 2. Let y(v) = -4*v - 4. Let z be y(x). Let f be 2 + (0 - z) + 2. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/21*90\/(-270).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 3908*w**3 + 3896*w**2 - 7808*w.\nAnswer: 4*w*(w - 1)*(w + 2)*(w + 976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 + -21 - 283 - (-3 - -1 - 41 - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**(-6)*g**(-8)\/(g*g**(-2)\/g) assuming g is positive.\nAnswer: g**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*g**2 + 3)*(-2*g**2 + g**2 + 2*g**2) + (-g**2 + 0*g + 0*g)*(-220*g**2 + 105*g**2 - 26*g + 113*g**2) - 23*g**4 - 67*g**3 + 67*g**3.\nAnswer: -23*g**4 + 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -7*r**2\/2 + r - 20. Determine u(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 9. Let b be x(12). Suppose -4 = -b*t + 8. Solve t*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 14*w**2 - 16*w + 3. Calculate q(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200202 (base 4) in base 7?\nAnswer: -122531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2590531094 rounded to 4 decimal places?\nAnswer: 0.2591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 4 (c) -29\/3 (d) 0.2 (e) 0.003\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 111. Suppose -4*c - 4*u = 0, 2*c - q*c + 12 = -4*u. Solve 2*x - 13 = -l, -5*x - c*l = -25 - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -79. Let f(a) = a**3 - 8*a**2 - 8*a. Let s be f(r). What is the third derivative of s*g**2 - 13*g**2 - 20*g**2 + 20*g**5 wrt g?\nAnswer: 1200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*c + 62, -3*a = 4*c + 2*a - 60. Let z = 19 - 2. Let f = z + c. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -15092*(63\/28)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3621 - -26428. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/sqrt(4)*3 + sqrt(56) - (sqrt(504) + -2*sqrt(504)))*-2)\/((sqrt(128) - 3*sqrt(128)) + sqrt(128) - -5*sqrt(800)).\nAnswer: -7*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-4) - 20)*(-2)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 21583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -578.12 + 576. Let s = t + 2.93. Sort 0, s, -0.2.\nAnswer: -0.2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1386 = 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22410 divided by 27?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/5 + 8\/15. Let g(r) be the third derivative of 0*r + 2*r**2 + 0 + t*r**3 + 1\/60*r**5 + 1\/6*r**4. What is g(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 1. Let b be o(-2). Suppose -99 = -4*i - b. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, x: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*37\/333)\/((2\/2)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20817.192 and 16936.\nAnswer: -3881.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.526934 to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3)*d\/d**1)**(-6\/7)*((d*d**1*d)**(20\/11))**(-26) assuming d is positive.\nAnswer: d**(-11008\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*o + 201*o = -18*o + 3060 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.06, -4, -0.9, 1\/7.\nAnswer: -4, -0.9, -2\/9, 0.06, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24943 + -256b?\nAnswer: -270b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 297409408 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w + 7*w + 8*w + 6*w + 14*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from wbbbwxbwlbwkwbbbbh?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 575915 - 177966. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376863270.\nAnswer: 2, 3, 5, 7, 1794587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32757, 66184, 99611?\nAnswer: 133038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -27927?\nAnswer: -27930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 3*i - 33. Let v be p(-5). Calculate the remainder when 48 is divided by 2000\/350 - (-2)\/v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and -12544.\nAnswer: 2634.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1518\/2069 or 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/10, 14, -613, 0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:32 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (696 - 1308 + 702)*(0*f - 2*f + 3*f)*(-3*f + 4*f - 2*f).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/159 + -36\/53. Let r = -2 - 2. Which is the closest to z? (a) 2 (b) r (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*t**5 + 73435*t**4 + 1492342*t**3\/7 + 1411716*t**2\/7 + 489176*t\/7 + 55904\/7 = 0. What is t?\nAnswer: -3494, -4\/3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = 3*h - 7*r - 23, 0 = 5*h + 4*r - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3) + -20 - (-6 + (6 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*z - z. Let t = 1 + z. Sort t, 0, 4 in ascending order.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*g = 1333, -4*u - 11*g + 288 = -973. Calculate the smallest common multiple of 306 and u.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -8. Let y be (-7)\/(-21)*(g - -1). Solve 2*h + 2*h - 20 = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let k = 3 - o. Suppose 4*q + q + 2*f - 45 = 0, 3*q - 2*f = 27. Calculate the lowest common multiple of k and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 18157?\nAnswer: 562867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-4080)*-6*(-6)\/(-18)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -146 and -3.261.\nAnswer: 476.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 4 (b) 0.1 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 1. Let x be m(2). Let f be (x\/12)\/((-2)\/(-8)). Suppose -f*s + s = -8. Solve -q + 4 = q + s*t, -q = 5*t - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 - 9*o + 6 + 4 + 3*o**2 - 6*o**2. Let m be k(2). Solve -6 = m*t + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10342332103 (base 5) to base 7.\nAnswer: 164662360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 912339499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 6?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 5. Let p be n(-5). Is 3\/5 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l = -912. Let n = l + 133. Let u = n + 98. Solve -5*f - 4*a + 6 = 0, a + 2 = -6*f + u*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 + 3. Calculate m(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2)*m)**3*m**1*m\/((m**0\/m*m)\/m))**41 assuming m is positive.\nAnswer: m**(615\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 158 times -64.8\nAnswer: -10238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*q - 5490, 1156 = -a + 3*q + 3885. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 92*d**2 + 7123*d\/2 + 31501.\nAnswer: -(d - 218)*(d + 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = 2*r + 5*w, 0 = -5*r - w + 27. Calculate the remainder when 8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 2, i: 1, e: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 1. Let j be 605\/(-374) - 6\/s. Which is the nearest to -1? (a) 2\/11 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2 - v + 3 + 0. Let x(s) = -2*s + 1. Let q(f) = -r(f) + x(f). Let u(h) = -3*h. Calculate u(q(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4 = -5*s, 0 = -2*s - s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 27720510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*k**3 - 23*k**3 + 246*k**3 + 3*k.\nAnswer: 430*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = 16232781 - 16232169 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 13*l**2 + 14*l + 57. Give u(-12).\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 100*t**2 - 115*t + 210.\nAnswer: 5*(t - 21)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (54\/36)\/((-2)\/(-3 - 1)). Let w(k) = k**3 - 9*k**2 - 13*k - 3. Let a be w(10). Let f = -30 - a. Solve 0 = 2*y + 2*j - m*j, 0 = f*y - 3*j - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a5 - 42169?\nAnswer: -42241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*k**3 + 2*k**2 - 84 wrt k.\nAnswer: 99*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, 0, -4.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540160087 and 2195.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1239945186 + -60047\nAnswer: -60047.1239945186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1 - -1)*1. Let v(w) = 2*w - 3 - 2*w - 17*w + 4. Let a be v(t). What is the highest common divisor of 162 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l + 51. Let c(g) = -10*g - 25. What is 9*c(k) + 4*h(k)?\nAnswer: -2*k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 61?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/14*2)\/(-20*11\/(-1100))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 8*c**3 - 2*c + 2*c + 17*c**2 - 2 - 12*c**2 as y*c**3 + l*c + f*c**2 + n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12575679491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 6:31 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 1)*(3*i - 4*i + 0*i)*(24 - 82 - 20) to n*i + a and give n.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -383*c - 14518927 + 14489436 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 4*t + 4. Let n be r(-3). Solve -20*m**3 + 14*m**2 - 4*m**4 - 7*m**2 + 4*m**5 - n*m**2 = 0 for m.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 43210761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(((-77)\/(-11))\/(-35)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26287 is divided by 822?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = -5*r - 56, -24 = r + 4*z. Let o be r\/(-6) + (-1574)\/6. What is o rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 40*j**2 + 2*j - 87. What is x(40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 - 6*b - 18. Let m be p(-11). Suppose -2*q = 5*n - 337, -5*n + m = 4*q - 2*n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (4*2*sqrt(143) + sqrt(143)))\/((sqrt(11) + (sqrt(77)\/sqrt(7) - sqrt(11)))*-6).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 21*k - 19*k. Is 12 a factor of 148\/k*(-75 - -81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -15 - (33 + -36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjejjjejjjjejj?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 24*a + 12*a + 7*a + 2*a**2 - a**2 + 0*a**2 - a**2 + 5*a**2 - 5*a**2 - a**2 + 2*a**2 + 0*a**2 - a**2 + (3*a**2 - 3*a**2 + a**2)*(6 - 1 - 4).\nAnswer: a**2 - 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14518 + 14581. Put -0.4, c, -0.2, 2, 5 in descending order.\nAnswer: c, 5, 2, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4024589 - 1108286 - 757352 = -21*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*m + 7 = 0, -2*l - 5*m + 173 = 133 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/13 (b) -0.884 (c) -0.1 (d) -0.5 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -225*x - 225. Let z(p) = 225*p + 226. Let r = -98 + 100. Let f(t) = r*w(t) + 3*z(t). Find the first derivative of f(d) wrt d.\nAnswer: 225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290.739 - 0.739. Let p = -289.999999894 + m. What is p rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -50*y**4\/3 + 26720*y**3\/3 - 3569792*y**2\/3 = 0?\nAnswer: 0, 1336\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2. Suppose -3*h + 26 = 2*h - u, 14 = h + 2*u. Let a(g) = h + 0 - 6 - 4*g**2. Let d = 173 + -177. Give d*a(c) - 5*l(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 14.7645\nAnswer: 44.2935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*i + 1, w = -0*w + 2*i - 5. Solve 3*k = 4*j + 8*k - 21, -j + w*k = 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -61.\nAnswer: -9\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.6. Put -4, p, 0 in decreasing order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 6. Let r be t(-6). Let z = r + 5\/2. Find the common denominator of z and 12\/80*37\/3*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - 27\/24 - (-189)\/(-56) and 119\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 5*p - 2. Let f be q(5). What is the biggest value in f, 2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 1181, 1776, 2371, 2966, 3561?\nAnswer: 4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -6 + (10 - 21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + 3*w + 8. Let z be k(0). What is the smallest value in -1, z, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4828.14 - -4828. Sort q, 0.1, -4, 85 in increasing order.\nAnswer: -4, q, 0.1, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 7*a)*(2 - 2 - 1)*(-3*a + 0*a - 1 + 4*a) + 21*a**2 - 80*a + 80*a.\nAnswer: 16*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352719531 to the power of 1\/2, to the nearest integer?\nAnswer: 48505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115727553 to the power of 1\/2, to the nearest integer?\nAnswer: 10758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9\/(-12*(-6)\/48) and 297?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(-1 + 4 + sqrt(1300))*-1.\nAnswer: -40*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*i - 25, -9 = o + 5*i + 16. Sort 7, -1, o, 5.\nAnswer: -1, o, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.6 (b) 3\/5 (c) 1\/4 (d) 0.1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624*s**2 + 32*s + 1 - 1 - 280*s**2 - 290*s**2.\nAnswer: 54*s**2 + 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 165? (a) 13.905 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.68 + -54.82. Let c = k + 60. Let s = -6.8 + 6.4. Sort c, -1\/3, s, -2\/9 in ascending order.\nAnswer: s, -1\/3, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m*m*(m**(-3)*m)\/m*m*m)\/m)*m**(-15\/2))\/((m**(2\/97)*m*m)\/((m\/(m*m**26))\/m)) assuming m is positive.\nAnswer: m**(-7085\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - ((4 - 0 - -4 - 15) + 14)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1278 and 43\/994.\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4719777 to 4 dps.\nAnswer: 1.472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*o*s*y + h*o + h*s - 6*h*y**2 + h - 9*o + 4*s*y**2 wrt y.\nAnswer: -h*o*s - 12*h*y + 8*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2401*n**4\/5 - 4998*n**3 + 13985*n**2 - 5100*n + 500 = 0.\nAnswer: 10\/49, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -265180 (base 12) to base 4\nAnswer: -2122002300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 218312.4l?\nAnswer: 218312400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/12)\/((-2)\/8). Solve -b + 21 = 4*y - 2*n, 0 = 2*y + 3*n + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37725354?\nAnswer: 2, 3, 2095853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 44*v**2 - 40*v - 344. Let t be d(46). Calculate the highest common divisor of t and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - -2 - (23 + -17) - 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad (base 14) to base 7.\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*d + 4*d - 16, 4*d = 4*y + 12. Let r be (63\/18)\/(y\/4). Suppose r*m = 2*m + 20. Solve 3*n + m = c, -4*n - 37 = 4*c - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 306721545 divided by 145\nAnswer: 2115321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-351)\/(-27) + 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4489*n - 4481*n + 8972*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 + 201393*l\/5 + 12876864\/5.\nAnswer: 3*(l + 64)*(l + 67067)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -71740 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/165 and 71\/3885?\nAnswer: 42735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q - 41. Let y(p) = -4*p - 41. What is 3*n(s) - 4*y(s)?\nAnswer: -5*s + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 618, 595, 592, 609, 646, 703?\n\"Answer: 10*p**2 - 53*p + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/672619 or 0?\nAnswer: 2\/672619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9003.\nAnswer: 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 67*r**3 + 71*r**3 - r**2 - 9*r + 8*r**2 + 67*r**3 - 206*r**3. Determine t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.9. Let w = -0.3 + -0.7. What is the closest to 0.1 in y, -0.4, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/42685?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -30433.5, 1, 5.\nAnswer: -30433.5, 1, 1.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -19*q + 4. Let b(j) = -1118*j + 234. Let o(h) = 2*b(h) - 117*k(h). Let r(m) = -30*m. Determine r(o(a)).\nAnswer: 390*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.03 - -0.03. Let c = 30.947 - 31. Let f = 2.053 + c. What is the closest to h in 0.2, -5\/4, f?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82.5618 + -0.1382. Let i = 77.6 - -5.4. Let h = i + q. Which is the closest to -1? (a) -2\/9 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-3)\/(-3)) + 26. Let g be -3 + (3 - 4 - o). Let t = 73 + g. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(3\/5)\/((d*d**(6\/7)*d)\/(d*d*(d**(-2)*d)\/d)) assuming d is positive.\nAnswer: d**(-421\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 68 = -14*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saa when three letters picked without replacement from {s: 6, a: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*f**3 + 0*f**3 - 12*f**3 + 0 + 1.\nAnswer: 58*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10670*k**3 - 669*k**2 + 10756*k**3 - 414 + 3*k**4 - 957*k - 21549*k**3.\nAnswer: 3*(k - 46)*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/((-10)\/(-15)). Solve 7*h**4 - 10*h**4 + 3*h - 2*h**2 + 9*h**3 - 7*h**s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p + 30 = -z, z + 20 = -3*p. Let i be (8 + p)*(0 - 1). Sort 5, 4, i in descending order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(117) - (sqrt(117) + 4 + -3)) + -2 - (3 + 3 + 1*sqrt(117) + sqrt(117)))*-3)**2.\nAnswer: -29646 - 5832*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*x = -0*x - 35, -4*o - 40 = -4*x. List the prime factors of 6\/(-15) + (-182)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 24*g + 38 = -5*m, -16*m + 4*g = 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -29*d + 4*d + 1 - 7 + 5. Is v(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.4 + -6. Let v be 10\/(-4)*(-130)\/975. What is the third smallest value in v, -1\/2, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*p - 127, -4*w - 2652 = -2640 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 + 4164601 - 4164601.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (57\/76)\/(1\/232). Suppose -2*s - 3*v = -y, 2*s - 17 = 3*v + 169. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 16, -5, -1009, 2 in decreasing order.\nAnswer: 16, 5, 2, -3, -5, -1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3*y - 15, 47*y + p - 1 = 46*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let f be -2 + 55\/(-20) - -4. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*r + 54*r - 772. Let s = r + 386. Solve -4*o + 13 - 5 = s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2, 0 = -d + 3*i - 6*i + 30. Suppose 2*h = -5*n + 55 - 17, 0 = 5*n - h - 41. Calculate the highest common factor of d and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 - (60 + -102 + 42)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118.5 - -118. Let v = -11.2 + 11. Let h = v - 3.8. Which is the nearest to -1? (a) h (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 + 5*v + 3. Suppose -65 = -13*t + 8*t. Suppose 5*r - 7 - t = 0. Calculate the lowest common multiple of m(4) and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 684.3129ml?\nAnswer: 0.6843129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 11 + -4 - (-1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4165 - 5509 = -5*j, 0 = 2*j + d - 3866. List the prime factors of j.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(4032))**2 + (2*(sqrt(28) + 1*sqrt(28) + 4))**2.\nAnswer: 416*sqrt(7) + 4580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 - q**4 + 128*q**3 - 14*q**2 + 794849*q.\nAnswer: 40*q**3 - 12*q**2 + 768*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -12. Let y = 226.1 + -221. What is the third biggest value in y, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(33\/110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 3401?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -74*u + 69*u. Suppose -5*v = -6*v + u. Solve -v = 5*a - 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223 + -220. Suppose -2*z**s + 7\/8*z**4 + 1\/2*z**2 + 0*z + 0 = 0. What is z?\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 - -182. Let s(r) be the second derivative of 0*r**2 - 1\/10*r**6 + 0*r**3 + w*r**4 + 0 - 1\/14*r**7 + 3*r + 3\/10*r**5. Factor s(k).\nAnswer: -3*k**3*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2 = -5*i + 15, -4*c = 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 414, 0, -315, -2, 2 in descending order.\nAnswer: 414, 5, 2, 0, -2, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-3) - 70\/(-45). Let z = -0.4 + -0.6. Which is the third smallest value? (a) 0.16 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 148*n - 517 = 7268 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 10*y**2 - y + 2. Let u(w) = w**2 + 8*w - 3. Let s be u(-7). Let p be n(s). Suppose p + 11 = b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 34, -1, 15, -2 in ascending order.\nAnswer: -2, -1, 5, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h - 37*h + 1116*h**3 + 15*h - 337*h**3.\nAnswer: 779*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u**2 + (-u + 0*u - u)*(5074 + 126*u - 5074)*(4 + 0 - 3))*(4*u**2 - 2*u**3 - 4*u**2).\nAnswer: 500*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7))\/((24\/105)\/((-180)\/(-450))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.817\nAnswer: -1.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-10 - (-3 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/6402334 or 1?\nAnswer: 3\/6402334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltaaww. Give prob of picking 1 l and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4 + 5111*f - 9 - 5090*f. Let s(a) = 4*a - 1. What is 2*q(y) - 11*s(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = -21, 4*l - 214 = -3*s. Suppose o = n - 77, -3*n + 153 = o - s. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -525? (a) -0.2 (b) 4 (c) 3417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 smaller than -206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 9*k**2 - 9*k - 12. Let p be d(-8). Let j be p\/(-6)*(-2727)\/(-18). Is 23 a factor of 3*(-3 + j\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-35))\/((-1)\/(-5)). Suppose -t + k*t = 26. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*d + 135, -5*d + d + 70 = n. Solve -16 = -10*y - n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2121*s**2 + 4. Let h(y) = 2. Calculate -2*h(w) + v(w).\nAnswer: -2121*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 16*p + 17. Let i be o(15). Find the second derivative of 5*k - 5*k - 6*k**i + 3*k wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-74)\/((-20)\/(-5) - 2). Let c be x\/(-60) + (-10)\/(-75). What is the third smallest value in 0.9, -4, c?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 6368?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*t + 2437, 3*t - 1274 = -3*u + 547. Calculate the lowest common multiple of t and 418.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23223550870 to the nearest 1000000.\nAnswer: -23224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1262?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccyccycyccc. Give prob of picking 1 c and 2 y.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1764, 1842, 1920?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96521 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103607 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -459, -521, -611, -729, -875, -1049, -1251?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 7:18 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {y: 8, e: 2, l: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 2\/3045, -6\/11, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 - -257. Let h be 17 - (2 - (u + 2)). Calculate the highest common factor of h and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*q + 45 = 105*q. Suppose l - 4*k - 49 = 0, 4*l = -5*k + q*k + 148. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-6))\/((-18)\/(-72))*-3. Suppose t = -0*t + 2. Let v be (0\/3 - t)\/(-1). Calculate the highest common divisor of g and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3639*c**3 - 15*c**2 + 137*c - 52. Let l(h) = 2*h**2 + 7. Let m(f) = -k(f) - 7*l(f). Find the third derivative of m(u) wrt u.\nAnswer: 21834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + t + 19 = -l, -4*t + 15 = 5*l. Suppose -3*c + 0*z - 3 = -3*z, l = -c - 2*z. Let n = 0 - -1. What is the closest to 0.1 in 1\/3, c, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*65.\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6359, 8550, 14497, 26078, 45171, 73654?\nAnswer: 113405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2040 - -4227. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -373.\nAnswer: 4\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(2 - 7 + 15)*(-g + 3*g + 0*g) - 2 + 2*g + 2 + 1 - 3*g - 1 to f*g + s and give f.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 11:56 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 141.\nAnswer: 42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13. Solve 3*i = -0*i + h + 6, -4*i - 3*h - 5 = b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, u: 14}. What is prob of picking 3 u?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29665.88 meters to nanometers.\nAnswer: 29665880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b = 10925 - 2921. Calculate the highest common factor of 1311 and b.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686856357 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-5830)\/(-8) - 2\/(-8). Let m be (6 - p)\/((-9)\/(-6)). Let v = -305 - m. What are the prime factors of v?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1147 and 317.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 + 20*z**2 - 14*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358653?\nAnswer: 3, 119551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -1400304311?\nAnswer: -1400304241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1734 + 4147. Let q = 6887 - g. Suppose q = 4*n + 6*u - 4*u, 3*n = 2*u + 3373. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278096\/50 - (-48)\/600.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 1\/15*m**5 + 0*m - 1\/2*m**3 + 0 - 1\/120*m**6 + 8*m**2 + 1\/12*m**4. Give c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3 - 21. Factor -6*n + 2*n**3 - 16*n**2 + 0*n**3 + 2*n**q + 6*n.\nAnswer: 4*n**2*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7689537 divided by -7561?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*q - 11 = 0, -10 + 29 = 5*s + 3*q. Let n be (-1)\/s*(15 + -27). Let k(v) = -n - 1 + 1 + 0 + v. Give k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2704)\/(-10) + (98\/35)\/(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 26. Let z be m(-12). Sort z, -10, -1 in ascending order.\nAnswer: -10, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8170 plus 1225482330.4?\nAnswer: 1225490500.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1564 = 3*q + 535, -2*a = q - 336. Calculate the common denominator of -34\/3 and q\/(-48) - 0\/(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 27 + 9*q + (0*q + 3*q - 2*q)*(-3 + 0 + 6) + q + 2*q - 5*q)*(154 + 70 + 103 - 96).\nAnswer: 2310*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14795 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -73. What is the remainder when 130 is divided by r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43407 divided by -21.\nAnswer: -2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 23. Let r(z) be the third derivative of 104*z**2 + 0*z + 0 - 1\/8*z**4 + 0*z**3. Give a(r(g)).\nAnswer: 9*g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/27 and 9\/90*-1*178\/(-6)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -84*d + 22. What is the hundreds digit of i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 2\/15, -3, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.912843 minutes in nanoseconds?\nAnswer: 294770580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2. Let q(k) be the second derivative of 0*k**2 - 9*k + 0 + 1\/2*k**3. Determine q(b(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.7 + 17. Let u = -11437 - -11532. What is the third biggest value in u, x, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 6) + 10 + (50 - 4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 19 (c) -0.3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -259*k + 283 - 243*k + 102 - 51. Let x(p) = -55*p + 37. Let c(v) = -6*g(v) + 52*x(v). What is the derivative of c(i) wrt i?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+199.065\nAnswer: 204.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s = -37*s. Suppose s = 2*v - 2*q + 5*q - 603, 0 = -v + 5*q + 269. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d - 5. Let i(c) = -2*c**3 - 11*c + 11. What is -6*i(w) - 11*n(w)?\nAnswer: w**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 0. Solve 3*t + 13 - m = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*c - 402 = 0, -2*w + 646 = 3*w - c. Suppose 0 = -2*o - 2*i + 198 + w, -340 = -2*o + 4*i. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -16*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.1. Let v = -1 + 4\/7. What is the third smallest value in v, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p. Let w(h) = 1049457*h. Determine w(i(y)).\nAnswer: 8395656*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -111*z**2 - 10*z + 30. Let i(l) = 335*l**2 + 32*l - 97. Determine 4*i(k) + 13*j(k).\nAnswer: -103*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751908.\nAnswer: 2, 437977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:04 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 34*r + 253. Give k(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (58\/(-20) + (-56)\/(-140))*(-6)\/(-5). Let z(h) = -170*h**3 + 50*h**2 - 50*h + 50. Let w(r) = -10*r**3 + 3*r**2 - 3*r + 3. Calculate i*z(f) + 50*w(f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Let f be 0\/(1*-2 + p). Suppose -11 = -f*q - q. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1531*h = -3235 - 5951 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 8, 41, 108, 221, 392, 633?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0259321 * -0.01.\nAnswer: -0.000259321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 4:11 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*b - 35 = 0, -4*b = f + 2*f - 21. Let m(h) = -h + 1. Let n(i) = -9*i + 11. Let t(r) = 6*m(r) - n(r). Is 5 a factor of t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + 8 - (-32 - -47).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129045, -129043, -129041?\nAnswer: -129039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeuc when four letters picked without replacement from ccecuecueuce.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.78 + 0.3. Let y = x + 0.48062. What is y rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222202 - 11012101?\nAnswer: 2210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 72 = -3*p + 6*p, p - 2*r - 24 = 0. Is p > 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782043331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-18)\/48). Let x = 7.3 - 7. Which is the second biggest value? (a) x (b) -1\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d**5 - 5*d**4 + 6*d**3 + 16*d**2 + 11. Let x(g) = -3*g**5 + g**4 - g**3 - 3*g**2 - 2. Let c(p) = -6*t(p) - 33*x(p). Determine q so that c(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4824 + -4723 + -14 + 0 + -1 + 4.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3*(-1)\/(-90)). List the prime factors of (m\/(-7))\/(33\/(-154)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*i**3*y - 1074*i**3 - 3*i**2*y - 220651*i**2 + i*y - 2*y - 2 wrt i?\nAnswer: -534*y - 6444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -159, -302, -541, -876?\n\"Answer: -48*l**2 + l - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*g + 20, -g + 16 = 3*g - l. Let b = 0.48 + -5.28. Let d = b - -5. Put d, -2, g in increasing order.\nAnswer: -2, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in -3\/8, -0.07, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 5*z + 342 = 0. Suppose 0 = -4*j + 8. Find the third derivative of -z*n**4 - 2*n**2 - 9*n**j - 5*n**2 wrt n.\nAnswer: -456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 21*r**2 + 2*r - 36. Let f be n(21). Let h(b) = -2*b - 2. What is h(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1754*p + 59636. Determine d(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4512322, -4512460, -4512596, -4512730, -4512862?\nAnswer: -4512992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 11*l + 2*p - 88, l + 4*p - 8 = 0. Suppose l*b = 16*b + 40. Solve b = -v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -670.\nAnswer: -669.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etngwgwe. What is prob of picking 1 t, 2 e, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-16)\/(-28)) + -3. Let x(g) = g**3 - 4*g**2 + 3*g + 1. What are the prime factors of x(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {x: 7, n: 3, p: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012 + 149063642?\nAnswer: 149063642.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 8. Calculate the common denominator of -6 - ((-2)\/(-5))\/((-96)\/3540) and ((-1)\/(-5))\/(j\/(-102)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-695*z**2 - 155*z**2 + 26*z**2)*(2 - 2*z**3 - 2)*(-1 - 1 + 0)*(-2 - 1 + 5)*(2 + 1 - 2).\nAnswer: -6592*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 27 = -5*u, 4*u = -25 + 13. Suppose -l*o = 2*x - o - 413, -219 = -x - 4*o. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 13 - 6*x + 5*x + 15 + (0*x - x + 3*x)*(-x + 4*x - x) as z*x**2 + k + g*x and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15037150 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 24*l**2 + 27*l + 10. Let x be d(11). Find the first derivative of -88 + x - 100 - q**4 + 2*q**4 + 38*q wrt q.\nAnswer: 4*q**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 48. What is the remainder when 286 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g**2 + 3. Let m be z(-3). Find the third derivative of 6 - 380*r**m + 193*r**3 + 187*r**3 - 62*r**2 - 4 - 147*r**4 wrt r.\nAnswer: -3528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrrrryyrrrrrrrrr. What is prob of sequence yry?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34380 = -3*s + 3*x, 18*s + 3*x = 22*s - 45840. Round s to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000765883 to 6 decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197839493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 + -294. Let k = -132.1 - n. Let x = -10.9 + k. Put -8, x, -3, -0.4 in decreasing order.\nAnswer: x, -0.4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/131, 0.003, -1.8, -6\/5 in decreasing order.\nAnswer: 1\/131, 0.003, -6\/5, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 + 136. Find the common denominator of 99\/230 and (18\/(-48))\/(2*3\/d).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -295, -2526, -8923, -21568, -42543, -73930, -117811, -176268?\n\"Answer: -347*u**3 - u**2 + 201*u - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36390282 to the nearest integer?\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33591056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -193 - 6*k - 31*k + 12*k + 26*k in the form n*k + l and give l.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-124)\/6)\/((-10)\/(-60)). Is (1 - o)\/5 - -2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*w - 4 = 0, -11 = -2*w - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 4*b**2 + 5*b + 3. Let o be (-12 + 13 + -7)*234\/(-4). Let c = 395 - o. Calculate the remainder when c is divided by t(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 + q + 1. Let i(o) = 4*o**2 + 2*o + 1. Let m(s) = -7*d(s) + 5*i(s). Suppose m(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from soolossssssslvsos.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 4*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 42861 = 4*h + 4*j, 3*h + 5*j = 25714. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -39 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 11) in base 12?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/6, 0.33232, -0.5, 0, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(78\/(-8))\/13*(-39)\/(-13)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - w - w + (371 - 118*w - 371)*(-1 + 4 + 0) + (0 - 2 + 1)*(-3*w - w + 3*w) + 0*w + 3*w - w + w + 0*w - 2*w + w + 0*w + 0*w.\nAnswer: -349*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 269*p - 270*p. What is the greatest common factor of p and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-2)*(i**(-22)\/i)\/i assuming i is positive.\nAnswer: i**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0.7. Let w = 128 + -25. Let h = w + -100. What is the nearest to q in h, -6\/7, 1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - s + 2*s + 292 = 0, 3*f + 3*s - 456 = 0. Let u = 146 - f. Suppose -3*c - c + 16 = -5*z, -2*c = 5*z + 22. Sort 0, c, u.\nAnswer: u, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130 + -46 - 117) + (-1 - (0 - 11)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/5 + -59\/40. Let w = 8363\/12 - 696. What is the common denominator of w and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/4 + 8*j**3\/3 - 7*j**2\/2 + 5*j - 5. Let h be p(7). Solve -7 + 32 = -h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5662932 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 + 337 - 1015 + 336 + 4319*d.\nAnswer: 4319*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(11\/3)*o\/(((o*o\/o**10)\/o)\/o)*o**17\/(o**4*o) assuming o is positive.\nAnswer: o**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 131445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {k: 2, o: 9, s: 5}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 113?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1000000110110001111000101100?\nAnswer: -1000000110110001111000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 + 0 + 5\/2*b**3 - 70*b**4 + 0*b = 0. Calculate b.\nAnswer: -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**4 - 2*o**3 + 2*o**2 + 4*o + 2. Let x(t) = t**4 - t**3 + t**2 - t + 1. Let s(a) = -v(a) + 2*x(a). What is the second derivative of s(h) wrt h?\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -539, -0.05, -3\/7?\nAnswer: -539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 - 5295*i**3 - 345795*i**2 + 351095*i = 0. What is i?\nAnswer: -989, -71, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 - 186. What is the second smallest value in 1\/2, 0.3, b, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15049849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -n + 289. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, -23, -49, -75, -101?\n\"Answer: -26*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z + 90*z + 24 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 3*a + 8. Let b be x(11). Suppose -j = -4*m + 829, -3*m - 4*j = -5*m + b. Calculate the greatest common factor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274425977 and 15183?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 62. Let v(k) = -12*k**4 + 6*k**3 - 11. Let u(j) = -13*j**4 + 5*j**3 - 11. Let w(z) = h*u(z) - 5*v(z). What is the derivative of w(g) wrt g?\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001199 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*l + 15*l + 34*l)*(0 + 0 + 2)*(3 + 3 - 7)*(4 - 2 - 1 + (2 + 3 - 3)*(3 + 0 - 2) + 3 - 4 - 1).\nAnswer: 76*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138866800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1725200, 4, -96.\nAnswer: -1725200, -96, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66385690 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + 117135?\nAnswer: 117102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 247923999 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:00 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -2 (b) 3 (c) -1 (d) -0.4 (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 39*y + 85. Let k be 0 + -1 + 0 + 5*5. What are the prime factors of r(k)?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21775?\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/7524, 1, -5, -3, 2 in descending order.\nAnswer: 2, 1, -7\/7524, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -221, -5.\nAnswer: -221, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -13 (c) 78 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*y + 3 - 3)*(36*y - 21*y + 9*y) to the form j + n*y + m*y**2 and give m.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**4 - 30119757*h**3 - 2*h - 336665723?\nAnswer: 8*h**3 - 90359271*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 74245 = 5*o, -4*q - 8*o = -10*o - 59390. Does 7 divide ((-42)\/8)\/((-174)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38164 and 16356.\nAnswer: 114492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (89 - (167 + -83)) + (4 + -1 - (-35 + 3))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-36)*(-10)\/(-5))\/((-6)\/(-126))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -31 - 2 - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 7. Let s(u) = u**2 + 7*u + 9. Let c be s(-6). Let p(a) = 25. Let g(t) = 3. Let h(y) = 24*g(y) - 3*p(y). What is c*f(q) + 7*h(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 3 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**4 + 4*y**3\/3 + 4*y**2 - 19*y. Let w(x) = -4*x**2 + 3*x + 3. Give -3*i(v) + 8*w(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -145784697 divided by -17133\nAnswer: 8509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**6\/360 - o**5\/180 + o**4\/72 + o**3\/3 + 5*o + 47. Let d(i) be the third derivative of w(i). Factor d(q).\nAnswer: -(q + 1)*(3*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18*s**2 - 27*s. Let u(z) = z**2 - z. Calculate t(c) - 27*u(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(3136))\/(4*sqrt(448)))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1872)*-4)**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (48\/20)\/(3\/(-15)). Let g be c\/(-7) + (-16)\/(-56). Let u(p) = -3*p**2 - 5*p. Let l(s) = -s**2 - 2*s. Give g*u(w) - 5*l(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -127ea?\nAnswer: 127e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 9 - 5 + 8*m + 18. Let z(n) = -3*n**2 + 23*n + 11. Calculate -11*y(d) + 4*z(d).\nAnswer: -d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 7\/2*m**2 + 1\/12*m**4 + 0 - 5\/6*m**3 - 6*m. List the prime factors of x(7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -27 + 13 + (18 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352807 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*o = 48, 240*d - o + 112 = 247*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59\/971 or -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 1:16 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.2, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v**5 + 3916*v**4 + 3492*v**3 = 0 for v.\nAnswer: -97, -9\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52\/70 + (38\/133)\/((-20)\/(-28)). Let d be 6\/2 - 2 - -3. Factor 0*c - 4*c**5 + 20\/7*c**d + 0 + q*c**3 + 0*c**2.\nAnswer: -4*c**3*(c - 1)*(7*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11086449, -22172900, -33259351?\n\"Answer: -11086451*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 35, 100, 223, 422, 715, 1120?\n\"Answer: 3*v**3 + 2*v**2 - 2*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*z - 450 = 62*z. Let k(o) be the third derivative of -o**6\/120 + o**5\/10 - o**4\/6 - o**3\/2 + o**2. Give k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31047762 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from {i: 1, l: 2, u: 1, v: 2, q: 1, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -10. Which is the nearest to 0.1? (a) 0.3 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - n. Let z(a) = 7*a**2 - 6*a - 136. Let w(q) = -3*r(q) - z(q). Let k be w(17). Factor 1\/4*c**5 + 0 - 1\/2*c**2 + k*c - 3\/4*c**3 + 0*c**4.\nAnswer: c**2*(c - 2)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2000 + 2697. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -102, -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196975034 to the power of 1\/3, to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + n**2 + n + 20. Determine j(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19.49653km?\nAnswer: 1949653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/5 (b) 13\/3 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 85*t - 53*t - 33*t = 2, -5*j + 6 = -3*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 169 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 1)\/((-14 + 6)\/8). Let q(b) = b**3 + 6*b**2 + 3*b - 5. Calculate q(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*a**3\/7 - 561*a**2\/7 + 486*a\/7 + 88\/7.\nAnswer: -(a - 1)*(a + 44)*(13*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807 divided by 13?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*q**2*v + 8007611*q**2 + 198336*v wrt v?\nAnswer: 27*q**2 + 198336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6324.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**5\/20 + 13*d**4\/12 - 11*d**3\/3 - 4506*d. Let n(v) = 0. Calculate v.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -84, -157, -248, -351, -460, -569?\n\"Answer: c**3 - 18*c**2 - 2*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 462 (c) -11\/18 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**4 - 16*q**2 + 4*q**3 - 6012*q + 1167*q + 15*q**2 - 6*q**3 wrt q.\nAnswer: 48*q**2 - 12*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -207 + 411. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167\/9 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/108 and 115\/85626.\nAnswer: 513756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v**(2\/25))**20\/(((v*v**(1\/4))\/v*v*v**(-1\/2))\/((v\/v**(8\/3))\/(v*v\/(v\/((v\/(v\/(v**(-5)\/v)))\/v))*v))) assuming v is positive.\nAnswer: v**(59\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3844 - 2076. Suppose b = 19*q - 15598. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77498.767 to the nearest one hundred.\nAnswer: 77500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/49896 and -73\/237006?\nAnswer: 948024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 18*l - 16*l + 2*l + 3*l - 6*l + (-4 + 3 + 0)*(3 - 3 + 2*l) + 5 - 5 + l)*(-5 + 5 - 3*l) + (3*l**2 - 4*l**2 - 2*l**2)*(-2 + 4 - 4).\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11932 - 11933. Let k(j) = -7*j**3 - 4*j**2 + 2. Calculate k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w + 6\/5 + 1\/5*w**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1380664 and 1.\nAnswer: 1380665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -478, -445, -398, -349, -310, -293, -310, -373?\n\"Answer: -2*k**3 + 19*k**2 - 10*k - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, i: 5, s: 2}. Give prob of sequence ll.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308328 is divided by 38272.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.4*-0.074\nAnswer: 0.2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51808824 to the nearest integer?\nAnswer: 7198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019268522 to 7 decimal places.\nAnswer: 0.0001927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0711942 to 4 decimal places.\nAnswer: -0.0712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9, -2*y + 24 = -0*u - 4*u. Suppose -o + y = -7*o. Let q(s) = -s. Calculate the least common multiple of q(o) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 23 = 2*d + 2*d, -2*d = 4. Let o(p) = 1. Let t(r) = r**2 - r. Let y(s) = 3*o(s) - t(s). Calculate y(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 41*c + 23. Let s be n(21). Suppose -s*h - 3 = 5, -h = -2*r + 14. Calculate the lowest common multiple of 9 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91\/240 - 1\/48. Let x be 5*(-2 - -1) - -3. Let u = -0.26 - -0.16. Which is the closest to l? (a) x (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784*r**3 + 838*r**3 - 4983*r**3.\nAnswer: -4929*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 83*t + 36. Is k(-89) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.3 + 12. Let o = -0.4 - r. Let d be 10\/35 + 3\/14. Which is the nearest to d? (a) -0.3 (b) -2\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8055 is divided by 260.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7735*f**3 + 2*f**4 - 7735*f**3 + 2*f**2 - 2 + 6*f in the form w + i*f**3 + u*f**4 + q*f**2 + j*f and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24 = -5*l. Suppose -2*d + 4*t = -0*t + l, 2 = -3*d + 2*t. Let j = d + 1. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 383966.\nAnswer: -5\/383966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73\/2 + -37. Which is the smallest value? (a) 0.2 (b) 11 (c) -2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.052 + 3.048. Let v = 3047.8 - 3044.6983. Let t = v - y. What is t rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**0)**(-15) assuming u is positive.\nAnswer: u**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*j = -121*j - 840. Solve -6*a = -5*q - 2 + 6, j = -q - 4*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2096 divide 526846368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3*-6*((-3784)\/(-129))\/(-44)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What is the square root of 1154658 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/5 + (-5 - 484\/(-80)). What is the closest to -0.2 in 3, 6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 16 = 4*z, -2*z = 5*k + 3 + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624780 and 230?\nAnswer: 14369940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 49*p + 39 = 44*p, 3*p = 4*l - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3, -4, 5 in decreasing order.\nAnswer: 5, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.94 - 1.8. Let c = 0.2 - h. Let x = c - 0.060006. What is x rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhllwlmhwhwwfim. What is prob of picking 3 h and 1 w?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/12 (b) 206.8 (c) -1\/4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*u + 689 - 632 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5375 - 5392. Is c at most 627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 48. Let x be 2\/6*9 - (-10 - 2). Suppose -7*o + 12*o - x = 0. Calculate the remainder when h is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 992689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102590350 a multiple of 11438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = 34*z - 40*z. Let q(r) = -9*r + 16. What is the remainder when z is divided by q(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01576 * 17.718.\nAnswer: 0.27923568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 62 = -6*m. Suppose 0*i - i - 9 = 0. Let u = m + i. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 14727580.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n*t**3 + 3*n*t**2 + 663*n + 3*t**3 + 2238*t wrt n.\nAnswer: t**3 + 3*t**2 + 663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69339 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 0.024 (b) -288 (c) 3\/2 (d) 3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19511699\/11 smaller than -1773791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 561.01 and -0.172.\nAnswer: -96.49372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -24*h**3 + 166*h**2 - 946*h + 1266. Let d(n) = -5*n**3 + 33*n**2 - 189*n + 253. Let m(x) = 6*b(x) - 28*d(x). Factor m(w).\nAnswer: -4*(w - 8)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 10 = 3*x, 4*c = -2*x + 103 - 115 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23132274 to 4 decimal places.\nAnswer: -0.2313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*d = q - 20, -5*d = 4*q - 1. What is the units digit of (30\/(-4))\/((-2)\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 44*o**3 + 2*o**2 + 23*o**3 + (-2*o**2 - 2*o**3 + 2*o**2)*(-2 - 1 + 4).\nAnswer: 65*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49698012 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -260, 2801, 16 in descending order.\nAnswer: 2801, 16, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2 + 0*n + 4*n - 3*n. Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1655 and 0.095.\nAnswer: -1654.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = r + a, 2*a + 31 = r - 3*a. Let s = 104 + -85. Are r and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.3 (c) -84 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891805505 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1539\/(-12))\/(-9) + 2 and 57\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*b + 77, 3*z = -2*b + 60 + 53. Solve 4*j + 8*x - 3*x + z = 0, -3*x = j + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23857 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gww when three letters picked without replacement from {w: 18, g: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 155 + 38*z**5 + 153 - 308 + (0*z**4 + 5*z**4 - 3*z**4)*(-2*z + 4*z + 0*z) + 2*z**5 - 3*z + 3*z + z - z + 2*z**5 + 2*z**3 + 4*z**5 - 2*z**3.\nAnswer: 50*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593477 > 2593477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.81532 to 1 dp.\nAnswer: 23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 57. Solve -4*h = h - o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25140 * 9581\nAnswer: -240866340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -8*c - 4*c. Let m(y) = 6 - 22 + 12 + c*y**2 + 5. Give m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 27921770?\nAnswer: 83765310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26*6\/(-4))\/(-1). What is the units digit of 1\/(-13) + (-9870)\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 7*z**2 + z + 6. Let c be o(-7). Let f(y) be the third derivative of y**6\/60 - y**4\/24 + 20*y**2. Calculate f(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-21))\/((-76)\/18 + 4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5 + 6*l - l**2 + 4 - 3. List the prime factors of d(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246778 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 3*z**2 + 21*z**2 - 2*z**2 - 3*z - 7*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1584) + -1 + 4)*1 + -3*sqrt(1584)*-1 + -4)**2.\nAnswer: -76035 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (27 - -2) + (-360)\/((-864)\/(-36))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -0.5, -126001, 14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010101002 + -101122?\nAnswer: -1010202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -137844 - 2*n + 137844. Let t(q) = 195*q. Calculate c(t(m)).\nAnswer: -390*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**5 - 5*u**3 - 17*u**2 + 5*u. Let f(x) = x**5 + x**3 - x. Let g(o) = c(o) + 5*f(o). What is the third derivative of g(j) wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5596 divided by 2798.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28006, 28010, 28016, 28024, 28034?\n\"Answer: g**2 + g + 28004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66780 divided by 63\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33275780 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 129 = g, -11*x - 24 = 3*g - 12*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88.28 + -88.2817577. What is c rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*h - 18, l + 7 = -h - 0. Which is the third biggest value? (a) -7 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - z = 4*z - 11, 0 = -s - 2*z + 10. Let u be ((-6)\/(-4))\/(2\/4). Sort 13, u, s in decreasing order.\nAnswer: 13, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 16. Let x(l) = -1. Suppose -5*b - 10 + 5 = 0. Let k(g) = b*p(g) - 6*x(g). Let j be k(-7). Solve -j*i = 2*z - 2, -z + 6*z - 2*i = 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -3, -0.2, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**4 - 22*w**3 + 4*w**2 - 59*w + 120*w - 63*w wrt w?\nAnswer: -72*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 11*w**4\/6 - 7*w**3\/6 - w. Let t be c(-6). Let f = t + -1619\/2. Find the common denominator of f and 19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/24 + b**5\/15 - b**3\/3 + 178*b**2. Let t(g) = -g**3 + g**2. Give -l(o) - 3*t(o).\nAnswer: -2*o**3 - 7*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.5 - -73. Let b = r + -25. What is the nearest to -2\/9 in -0.1, 4, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1918*y - 10 = 1913*y - 3*z, -2*y = -4*z - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 871, 3, -0.7, -0.6, 0.05, -3\/7?\nAnswer: 871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/4 + (-3)\/12. Let o be (l - -2) + (4 - 4). Let z = 15 - 9. Solve -z*n + n + 20 = -5*m, o = 4*m + n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 347*b**2*i**2 + 5975*b*i**3 + 14233*i**3 + 14*i**2 - 1 wrt b.\nAnswer: 694*b*i**2 + 5975*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-14)*g)\/g**8*(g*g*g*(g\/(g\/(g*g**(-3\/5))))\/g)\/g*g*g**(-14) assuming g is positive.\nAnswer: g**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 654\/785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.19 and 14293.\nAnswer: 14292.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1. Let b(h) = 13*h**2 + 9*h + 8. Let m(x) = b(x) - 2*u(x). Let z be m(-5). Suppose 3*v = 3*c + z + 106, c + 656 = 5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*w + 3*w + 7, -b - 4*w + 14 = 0. Let c be 3 + b\/4*4. Let h = c - -4. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -438? (a) 1 (b) -8 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -55, 2, -41 in increasing order.\nAnswer: -55, -41, -8, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10190?\nAnswer: 2, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 + 4*x - 73. What is the tens digit of c(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -1. Let h = v - -0.2. Let q = h + 0.5. What is the third smallest value in -3, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 7)*39\/(-6). Suppose -n + 36*g - h*g + 624 = 0, -g = 4. What are the prime factors of n?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/159 and 7\/128790.\nAnswer: 128790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011111 - 1111000001111?\nAnswer: -10010011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 776870 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 6:52 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 41*w - 330. Let n be b(-48). Find the common denominator of n\/(-240) - 3\/8 and 91\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 2. Let h(w) = w**2 - w - 3. Let a be h(x). Suppose 0 = 3*p - 2*o + 3 - 0, 2*p + a*o = 11. Calculate the remainder when 1 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 0 + 2 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 1:14 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*g + 19, -4*q = -6*g + 2*g - 32. Let m = 20 + g. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-o**4 - 2*o**4 + 4*o**4) - 127*o**4 + 195 - 195.\nAnswer: -126*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106253 and 602.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 191\/14, -1\/38, 21?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17.4 bigger than -0.4697232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19202 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 24*z**2 + 25*z - 420. Let l be f(-22). Let q = 2 + -1.9. Let k = q + 0.4. What is the third biggest value in l, k, -3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182 times 21\nAnswer: -3822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8550592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, f: 1, m: 3, p: 2, s: 1}. What is prob of sequence fm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1)\/(-21))\/((-3)\/36).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3*(-3)\/(-2). Solve -i + 3*z + 2 + 0 = 0, i - z - f = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 130, -4 in decreasing order.\nAnswer: 130, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 2*b**2 + 10*b + 8. Let c be (-84)\/10 + -12*(-7)\/210. What are the prime factors of v(c)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 99100.1 milliseconds?\nAnswer: 99100100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216856202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 48?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 491467260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 38343a8?\nAnswer: -38343ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4, -4*w + 3 + 41 = -2*o. Suppose -3*r = 5*r - 128. Let j = r + 64. Calculate the highest common factor of j and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + 0.086. What is i rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 45 = -u. Suppose -3*q = 5*n - 137, -11 = -5*q + u. Solve s - 21 = -j - 3*s, 0 = -5*s + n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 7 - 3*j**4 + j**2 + j + 4*j**4 in the form q*j**4 + n*j**3 + x*j + a + s*j**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52275.\nAnswer: 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n + n**3 + 3*n - 2127*n**2 + 2139*n**2 wrt n?\nAnswer: 6*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50961753 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z. Suppose 5*a = -z + 5. Which is smaller: -3\/10 or a?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7675 - -7680. Let r(o) = -o**2 - 6*o - 7. Let w be r(-5). Let p be w\/(-8) - 22\/(-8). Solve -3*k = k + 4*h + 12, v*k + h = -p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 + 3804*r**2 + 869476*r - 2642556 = 0. What is r?\nAnswer: -193, 3, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x + 4*x**2 + 4104 - 8215 + 4107. Let t(i) = -6*i**2 - 7*i + 6. Let a = 4 - -3. Let l(p) = a*r(p) + 5*t(p). Factor l(j).\nAnswer: -2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 2. What is the second derivative of -3*j**4 - j + 7*j - o*j + j wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*u - 1516*f**2 - 131*u - 93 wrt f.\nAnswer: -4*f*u - 3032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 9 = -3*p + 4, 2*p = -2*l - 18. What are the prime factors of (-3)\/(-1*p\/(-24))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 3. Let k = 13.64 + 406.76. Let m = 420 - k. Sort 0.1, -5, m, g in decreasing order.\nAnswer: g, 0.1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824.1799 centimeters in micrometers?\nAnswer: 8241799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 28. Let d = 55\/4 + s. Let n = 279949\/503973 + 4\/55997. Put n, -0.2, 2, d in ascending order.\nAnswer: d, -0.2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + 28. Calculate the remainder when c is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Suppose 650 = 5*o + 5*k, 0*o - d*o = -3*k - 250. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12224214222 + -10?\nAnswer: 12224214212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18313*o**4 - 7383*o. Let d(f) = 9155*f**4 + 3691*f. Let h(i) = 5*d(i) + 2*t(i). Find the second derivative of h(a) wrt a.\nAnswer: 109788*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4144 divided by 56?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2104 + 3365 = 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let t(b) = 4401347*b. What is t(f(i))?\nAnswer: 4401347*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -d + 17, -d + 4*i = 2*i - 23. Suppose 28*s = d*s - 18. Let h be (-3)\/(-2) - (-3)\/(-6). Sort h, 3, s, 5 in decreasing order.\nAnswer: 5, 3, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 824*v + 36 = 830*v, -10*v + 23 = q - 12*v for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26445310 is divided by 2753.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -906*(3 - 7\/2). Suppose 0 = 7*u - y + 124. Let j = u - 24. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 28322784?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 182314128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(7))*-3 - sqrt(7)) + sqrt(56)\/((2*sqrt(8) - sqrt(8)) + sqrt(8)) + -2.\nAnswer: -7*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.018882 and 0.5.\nAnswer: 20.009441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - t - 9*t**2 - 2*t**2. Let o be q(2). Let h be o\/(-6) + (-3)\/9. Solve 4*z + d - 3*d - h = 0, 3*d = 2*z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1420 and -29.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 12:27 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7832430 = -20*s - 34*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -12) + (-6 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -18.42. Let w = r + -0.02. What is the smallest value in w, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1931452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2043327 and 9093?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 32*j**2 + 445*j + 14236. Calculate m(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 269*a**8\/336 - 19*a**5\/5 - 273*a**2. Find the third derivative of f(y) wrt y.\nAnswer: 16140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 202 = 253. Suppose -11*w = -4*w - c. Calculate the remainder when 38 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261439932.\nAnswer: 2, 315359983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.72 times 2.219?\nAnswer: -37.10168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 + 144*q**2 - 60 - 1130*q**2 to the form w*q**2 + i*q + h and give w.\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 73523.258 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*a + 4*w - 427 = 0, 2*a = -a + 15*w - 8*w - 11*w - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 2*i - 19 = -5, 5*i = -5*w + 40 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 312*k - 5929. Give s(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (29 - 53) - (-1 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.750993 + 0.4.\nAnswer: 15.150993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p - 1. Let l(u) = -281*u + 4. Let d(v) = -656*v + 9. Let r(t) = -3*d(t) + 7*l(t). What is -b(o) - 2*r(o)?\nAnswer: -16*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)\/(-3 + 5 + -1). Let h(f) = 2 - 36*f**3 + f**o - 3*f + 35*f**3 + 6*f**2. Calculate h(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 3 - 5 - 14070*p.\nAnswer: -14070*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 9*l + 5. Let b be p(-8). Let a = b - 21. Find the common denominator of 2\/(-6) - 18\/a and 95\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 675 - -42. Suppose 2*s = -3*c - 2*s + i, -720 = -3*c - 3*s. Suppose 2*p = 2, r = -r - 5*p + c. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(((-13552)\/84)\/(-44))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 57*b - 17 + 51. What is the closest to b in -0.4, 1, -11\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*l - 2*o - 9, 5 = -5*o. Suppose 0 = 4*j + j + 2*y + 33496, l*y = -3*j - 20096. Round j to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052311474 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64802*p**3 + 23559*p**3 - 26261*p**3.\nAnswer: 62100*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -777.39 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 3\/(-6))*-24. Suppose 0*c + f = 2*c. What is the greatest common factor of 48 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 4*z - 2. Let y(k) = 3*k**2 + 11*k + 5. Let j(v) = 11*a(v) + 4*y(v). Let u be j(2). Put -1, u, 0 in descending order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -242 + 237. Let w(s) = -3*s + 2. Let h(r) = 44*r - 10. Let b(u) = j*w(u) - h(u). Let f(i) = -i. What is b(f(o))?\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4413 divide 270521681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2953895 and 333?\nAnswer: 26585055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 126*z - 278*z)*(z**2 + z**2 + 0*z**2).\nAnswer: -292*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 29. Let p be v(12). Suppose 4*i + p = -4*q - i, -5*i = -q + 2. Let g(z) = 3*z + 3. Give g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -28. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 5*k - 2. Let z be l(4). Let s be (3\/3)\/(1\/z). Let q = s + 3. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -31. Let w(s) = 4*s**3 - 2*s**2 - s. Let l be w(-1). What is the nearest to 1 in -0.3, l, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 351.304092 - 351.3. Round i to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86124352159231 and -0.4.\nAnswer: -86124352159231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*p - 17136, 0 = 5*g + 2*p - 53749 + 10933. Let y = 14461 - g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 3\nAnswer: 110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 1. Suppose 0 = c + 2*a - 9, 3*c = -4*a + 10 + 7. Give l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1112 at least as big as -7790\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -286*k**4 + 982*k**3 - 982*k**3 + k**4 + 4*k**3 - 4*k**3 + (-2*k + 5*k - 5*k)*(k**3 + k**3 - k**3) + k**2 - 2*k**4 - k**2.\nAnswer: -289*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*n = -16, -16*n - 2 = -2*f - 17*n. Solve -6*q = -0*q + f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-45))\/(8\/(-25))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-58)\/(-24))*-118. Let p = v + 398. Find the common denominator of 43\/5 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 593281 and 705.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (605\/44)\/((-18)\/(-276)*-23)\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*u**2 + 108*u**2 + 546*u**2.\nAnswer: 1066*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/20 and -61\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 48*a**2. Let k(q) = -9*q - 46. Give m(k(c)).\nAnswer: 3888*c**2 + 39744*c + 101568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 2, n: 2, y: 1, m: 4, x: 2}. Give prob of sequence wyr.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9390 divided by 65\nAnswer: 1878\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhiy when four letters picked without replacement from {h: 5, i: 1, y: 5}.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*((-1*sqrt(480))\/sqrt(12) - sqrt(40)))\/(sqrt(200)*-2*-4).\nAnswer: sqrt(5)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 7 - m**3 - 5*m**2 + 2*m**2 + 5 to the form c*m**3 + s*m + o*m**2 + x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8*t)**22)**(1\/31) assuming t is positive.\nAnswer: t**(198\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**3\/2 - 4*q**2 + 29*q. Suppose -3*s + r = 18, -4*s + 7*r - 3*r = 24. Calculate i(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15)*28\/(-42)*(-3)\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 19*d - 8. Let k(o) = -o**3 - 4*o**2 - 5*o - 6. Let s be k(d). Solve 3*l**4 + l**3 - s*l**3 - 12*l + 19*l**2 + l + 2 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729 = 4*g - 3197. Suppose 4*d + 5 - g = 0. Factor -32 + 52*m**3 - d*m**4 + 0*m + 56*m**2 + 165*m**4 - 16*m.\nAnswer: 4*(m + 1)*(m + 2)**2*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -120 + 2*w + 4*w + 117. Let a = 271 + -269. Determine x(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8207 divided by 283.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in 10, 3, 129, 0.4, -0.2?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 0, 48, 5, 0.04, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(10 + 8 - 1)*(-2 + 2 - 3*d)*(-d**3 + 3*d - 3*d).\nAnswer: -102*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 149 = x, 0*x - 596 = -4*x - 2*o. What are the prime factors of x?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/4)*z)\/z)\/z**(2\/9)*(z\/(z\/z**(-4\/13)*z))\/z*z*z*z\/z**0)**(-4\/13) assuming z is positive.\nAnswer: z**(131\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-56) - 47\/(-7). Suppose -y - 23 = -5*r. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.3, 0.27, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z - 205. Let p be m(-15). Suppose -4*q - 12 = -q. Sort -5, q, p.\nAnswer: -5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 6*c + 3. Let a be z(-6). Let r(f) = f. Let k be r(-9). Let m be (k\/6)\/(a\/(-4)). Solve t + m = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2104772*z + 4412226 wrt z?\nAnswer: 2104772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 21. Is w\/(-3)*9\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2, -3, -1, 139 in descending order.\nAnswer: 139, 2, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 2*p - 2*u + 7, 0 = -p - u + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8652, 8665, 8694, 8745, 8824, 8937, 9090?\n\"Answer: q**3 + 2*q**2 + 8649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 383466 a multiple of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-2)**2*5 - (-3*(sqrt(300) - 2*sqrt(300)) + sqrt(300))**2 - (0 + (-1 + sqrt(300) + -3)**2).\nAnswer: 80*sqrt(3) + 884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 4*t**2 + 2*t. Let z be b(-2). Let p = z + 0. Find the first derivative of -1 - x + p - 1 wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 416. Calculate the remainder when j(-20) is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 3*o - 7. Let k = 8 - 4. Let q be h(k). Let i be 14\/5 + 28\/q. Calculate the highest common divisor of i and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**4 - 930*f**3 - 232*f**2.\nAnswer: -2*f**2*(f + 116)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17987579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/7*5*9\/(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053104 divided by -1136?\nAnswer: -7089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*d - 2*d - 0*d, 5*t - 2*t - 39 = -19*d - 59 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -22*g + 10. Let b(x) = -15*x + 7. Let o(u) = -5*a(u) + 7*b(u). Let h(n) = 6*n - 2. What is -3*h(f) + 4*o(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49)\/(-196) - 10\/8. Is g smaller than -2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 16\/21*n**3 - 1\/42*n**4 - 64\/7*n**2 - 6*n - 2. Determine v, given that p(v) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 - 15\/(-3) - (-60)\/5. Solve w + l = -2*q, 4*q + 0*q + 4*w = -12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 5*g**2 + g**2 - 209*g + 209*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - c**2 - 3*c**4 - 2*c**2 + (0*c + c**4 + 0*c)*(2 - 2 + 1).\nAnswer: -2*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3200, 2644, 2098, 1568, 1060, 580?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 4*t - 2. Let i be h(5). Let j = 28 - i. What is the greatest common divisor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g + 60*g = 105*g + 2976 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from gaojjgjjoaaj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203342 + -1441?\nAnswer: -205113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.34 + 0.06. Let d = -328.3 - -328. What is the second biggest value in d, -5, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001833000 divided by 5999\nAnswer: 167000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + 1383 + 1374 + 7*z + 3*z**2 - 2849 in the form n + h*z**3 + i*z + g*z**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 1 = d + 25*l, l = 3*d + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -h - 486, -4*v + 64 = -2*h - 432. Let m = -45 - -105. What is the remainder when v is divided by m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, a: 2, g: 2, z: 1, w: 4, h: 1}. Give prob of picking 1 w and 1 i.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16679, -16107, -15535, -14963, -14391?\nAnswer: -13819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9070 and 4?\nAnswer: 9066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.3. Let h = -1.3 + 1.1. Let f = h - d. What is the nearest to -1\/4 in -1, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006589165 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 589038 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0325278634 to five decimal places.\nAnswer: -0.03253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 - 28*l**2. Let y(d) = -5*d**3 + 29*d**2. Let h(p) = 3*v(p) + 2*y(p). What is the third derivative of h(a) wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 + 29484858.\nAnswer: 29484644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*g = -15, 0 = -4*w + 3*g + 5 + 13. Suppose 25 = 4*u - w*c, -3*u = -4*u - c + 8. What are the prime factors of (-95)\/(-3) + (95\/15 - u)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**(-44)\/(g**(-9)\/((g*g**(-4\/13))\/g)) assuming g is positive.\nAnswer: g**(-2175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245890321 to the nearest integer?\nAnswer: 15681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*(-1 + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4 + 2. Let o = y - 3. Solve 12 = -0*k - o*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170.63 + 170.7. Which is the nearest to -0.3? (a) 2\/17 (b) g (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5000) + (-1*sqrt(150))\/sqrt(3) + -2 + 3.\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3 - 1054*a**2 + 11372*a - 10320 = 0.\nAnswer: 1, 10, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 5*h + 1227 = 1371 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-98)\/(-35) + -2 + (-99)\/(-45). What is the third smallest value in x, 7\/50, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5547430 (base 9) to base 14.\nAnswer: -579736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24916.\nAnswer: 2, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003234968477 to seven decimal places.\nAnswer: 0.003235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/7 (c) -61.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 32 = -2*b. Let t(h) = -h**2 + 11*h - 3. Give t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 128 = -3*s + 3*u, 0 = -5*u - 5. List the prime factors of s - (-2 + 2)\/(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*b = 12, -1 = -b + 2. Is 2*(a - 1) + 26 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2751 + 3328. Is 580 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -732589367\/634392 - -102775\/89. Calculate the common denominator of -63\/4 and t.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 3*q + 3530. Let b(l) = -3*l**2 + 4*l + 5295. Let u(d) = -5*b(d) + 8*w(d). Is u(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**6\/30 - 763*s**4\/4 + 293*s**3\/3 - 3*s**2\/2 - 1324*s. What is the second derivative of x(v) wrt v?\nAnswer: -12*v**2 - 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 - 3*c**2 + c + 4. Is 2 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220 + 227. Calculate the remainder when 55 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3019817?\nAnswer: 1181, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, v: 6, t: 3, o: 2}. Give prob of sequence ttv.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 + -105. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 7*d - 4*d + (2 - d - 2)*(-1 + 4 - 1) + (125 + 10 + 0)*(3*d - 2*d - 2*d).\nAnswer: -148*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 2*m**2 - 3*m**2)*(-2*m**3 - 3675*m + 3675*m + 5*m**2).\nAnswer: 2*m**5 - 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + -151. Let m = 1.5 - 1.55. Let o = m + -0.45. Sort x, 0.2, o in descending order.\nAnswer: 0.2, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -377 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1300)*-1 + -1) + 0.\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((33 - 38) + (-15)\/(-4))*4. What is the nearest to 0.1 in q, -3, -0.5, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3485249552 to the power of 1\/2, to the nearest integer?\nAnswer: 59036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 5*u**2 + 2*u**2)*(74 - 563 + u - 229)*(12*u**2 + 18*u**2 + 2*u**2).\nAnswer: 64*u**5 - 45952*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -3 + -5)*(-1 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - 2.88. Let c = -69 + 60. Let m = c - r. What is the second smallest value in -0.1, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*g + 2. What is the hundreds digit of 16192\/60 + g*(-2)\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324230657 rounded to the nearest one hundred thousand?\nAnswer: 1324200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 1, v: 13, e: 3}. What is prob of sequence eevy?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/594 and 83\/18.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3872 and 157\/2790744.\nAnswer: 11162976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -305 in decreasing order.\nAnswer: 9, -3, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {a: 2, f: 1, p: 2, t: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/391 + 2729\/1564. What is the common denominator of q and (-101)\/6 + 2 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 37 = -3*y, -4*x - 19 - 17 = -4*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*2 - (-2 + 3). Let r be (-126)\/105*80\/6. Is (r\/g)\/(20\/(-150)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.73 + 17.19. Let l = -71 + 99. Let m = a + l. What is m rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264238 and 16952.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7 - -0.7. Let z = 6 + q. Let n be (7 - 585\/81)*1\/1. Which is the closest to -1\/4? (a) z (b) -0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*((-5)\/5 + -33). Suppose 3*p = 2*a - 102, 2*a - 4*p + y = 155. Suppose -4*v + 0 = -a. What is the remainder when 45 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -9. What is the closest to 3\/8 in f, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -36649 - 27331. What is o rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 45*o**2 - 164*o + 87. Let d be k(41). Solve 0 = 13*w - 22 + d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 30*d**2 - 108*d - 80.\nAnswer: -2*(d + 1)*(d + 4)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3856 and 45\/241.\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-63)\/(-6))\/3 + 18\/(-36). What is the smallest common multiple of (l + -1 + -1)*1\/1 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 170 (b) 276 (c) -2\/17 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(-6*x + x + 3*x) + (4 + 1 - 3)*(x - 2*x + 3*x) - 38*x + 168 - 168 + 0*x + 2*x + 0*x to j + o*x and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 301842752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -1 + (-53)\/(-17). Let u be (1*-2)\/(-32 + 30). What is the nearest to u in a, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - 1) + (99 - 77) + 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29 - (0\/(-1) - 0). Suppose o + s = 11 + 40, 4*o = 5*s + 168. Let c = o - b. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 7}. Give prob of sequence ki.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4352849.\nAnswer: 3\/4352849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 4. Let n = -12 - -8. Let h be l(n). Which is the second biggest value? (a) 4 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = -5*u, -4*v - 3 = 2*u + 3*u. Let f be ((-7)\/3 + 4)\/(v\/152100). What is f rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23328416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9 - 4*v**3 - 27*v**2 + 4*v**3 + 3*v**3 + 7*v - 4*v**3 + 34*v**2. Let w be (9\/(225\/10))\/((-2)\/(-40)). Calculate y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32390*u**2 - 32134*u + 256.\nAnswer: -2*(u + 1)*(16195*u - 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 - -147. Suppose 4*m = -0*m - 12, -4*s = -4*m - 40. Calculate the remainder when g is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v + 5*h - 20 = 0, -v = -5*h. Suppose -5*m + 174 = v*d - 2*m, -2*d = -4*m - 54. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) -2\/7 (c) 1\/8 (d) -4 (e) -0.4 (f) -17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -19. What are the prime factors of 243 + w - (4 + 0)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*c - 7332 = 294*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 - 3*m**2 + 24 - m**2. Let r(u) = u**3 - 3*u**2 - u - 12. Let a be r(4). Is w(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 627\/(-44) - (-2)\/8. Let f = k + 18. Let d be 2*-1 + 1 + 4. Solve -f = 2*a + d*j, 3*a + 1 + 5 = 3*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3 (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 + 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33422 (base 6) to base 4\nAnswer: -1021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186a8 (base 12) to base 5.\nAnswer: -2114202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.096337ug in tonnes?\nAnswer: 0.000000000004096337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2087 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 2}. Give prob of picking 3 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744) - -5*(sqrt(3744) - -3*sqrt(3744)))\/(sqrt(22)\/sqrt(99) + 5*-1*sqrt(2) + sqrt(2)).\nAnswer: -756*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -97 - (-77 - -14).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4, -4*c + 31 + 19 = 5*y. What is the greatest common factor of c and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57079 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8207183\/1680660 + 2\/84033. Let d = 19\/4 - u. Let x = -85 - -511\/6. Which is the second biggest value? (a) x (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020117788 to the power of 1\/2, to the nearest integer?\nAnswer: 44946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 4, -2.6, 0.68365, 3, -2\/9 in descending order.\nAnswer: 4, 3, 5\/2, 0.68365, -2\/9, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.2, 1\/2, -69, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56392825 is divided by 942.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4562?\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -114 and 410659987047?\nAnswer: 410659987161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 - 0.07. Let m = 2 - 2.1. What is the smallest value in m, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - 2. Let h be x(-7). Let b be h + 2*(-6)\/(-3). Calculate the highest common divisor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 6*g**3 - 3*g**3)*(33 - 8 - 12)*(-11*g**2 - 15*g**2 + 29*g**2).\nAnswer: 39*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 - 234*c**3 + 13213*c**2 + 55692*c + 56644 = 0 for c.\nAnswer: -2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + -1.3. Let i = b - -6.1. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/7 in -2\/145, -3, -13?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 17*i**5\/60 + 49*i**2 + 3*i. Let z(k) = 8*k + 3. What is j(z(c))?\nAnswer: 1088*c**2 + 816*c + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/37337 - -42004118\/261359. Let i = u + -161. Let h be 10*((-24)\/(-15) - 2). Which is the second biggest value? (a) h (b) -3\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 - 4.6. Let t = 251\/6 + -81\/2. Which is the biggest value? (a) o (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(33)\/sqrt(3) + sqrt(132)\/sqrt(3) + (sqrt(176)*-1)**2*1)*3.\nAnswer: 9*sqrt(11) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l = 25*l - 5*p - 14, l + 19 = -4*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3 + 2 - r + 0. Let y(v) = v**2 + 8 + 5*v**2 - 6 + 5*v - v**2 + v**3. Let p be y(-3). Determine u(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 178*x**6\/3 - 1150*x**3\/3 - 297. What is the third derivative of j(n) wrt n?\nAnswer: 21360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*v - 1374 = 0, 977 = 4*p - 3*v - 123. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6131 by -6131.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*n - 551*n = 39 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.602 and 19395.\nAnswer: -31070.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (6 - -3 - (7 - 0)). Sort z, 1\/5, -1\/7, -16\/19 in decreasing order.\nAnswer: 1\/5, -1\/7, -16\/19, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.3, 3, 0.4, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 18 = 4*i. Solve -2*m = 5*y - 6, y - i = -2*m - 0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 1\/6*n**4 + 1\/15*n**6 - 1\/5*n**5 + 0 - 3*n + 0*n**2 + 0*n**3. Factor w(r).\nAnswer: 2*r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2103.44\nAnswer: -6310.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3991 = 1304. Suppose 5*g = 2606 + w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m - 27. Calculate p(-5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -38124284.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6594.36 and -7.067.\nAnswer: 6587.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0 + 0*s + 1\/6*s**4 + 4\/105*s**7 - 4\/15*s**5 - 1\/15*s**6 + 6*s**2 + 1\/84*s**8 + 4\/3*s**3. Determine g, given that v(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/5 of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/42 + 181*o**3\/21 - 26*o**2 + 259*o. Suppose v(s) = 0. What is s?\nAnswer: -182, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25824, -25854, -25934, -26088, -26340?\nAnswer: -26714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675785186.\nAnswer: 2, 439, 769687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16815036 and 1176.\nAnswer: 33630072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9912\/4788 + ((-20)\/(-16))\/((-18)\/48)\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -51\/8, -5, -4, 2, 1\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o - 1. Let c(z) = -3*z**3 - 41*z + 2. Calculate c(v) + 2*j(v).\nAnswer: -v**3 - 39*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*o + 128*o - 5220 = -101*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17930*i**2*z**2 + 3*i*z**2 + 4*i + 2*z + 796 wrt i.\nAnswer: 35860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -155 in -1\/151, 5, 6, 21?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 796*b**2 - 48621*b - 4. Give i(57).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + d + 2*d - 27, -13 = -5*m + 3*d. Let n = -5 + m. Is (n + 1)*70\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-22)\/(-6))\/(((-1300)\/300)\/13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4546417*w + 4546002*w - 14525 = 0 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 6*c + c + (-1 + 1 - c)*(2 + 4 - 4) + (-5 + c - 2 + 5)*(2 - 5 + 2).\nAnswer: -9*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1087, 1, -29, 5.\nAnswer: -1087, -29, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5234 + 52341\/10. Let d = -1 - -1.3. What is the smallest value in s, d, 1, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208387047 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 65. Let z = -73 + 67. Which is the second smallest value? (a) -2 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:28 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 988425, 988424, 988423?\nAnswer: 988422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -791.11 rounded to 0 dps?\nAnswer: -791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5632038 by -5632038.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(11) - sqrt(11)))*6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:45 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1.07635983\nAnswer: 1.07635983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229931308.\nAnswer: 2, 197, 291791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 479020.0049 and -0.034045?\nAnswer: 479020.038945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from uuunuuuuuuuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a59 - -26260?\nAnswer: 24403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:16 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -332 - -334. Solve -n*s - 10 + 16 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1903\/18245 + -3\/445. Calculate the common denominator of l and 59\/3.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.4 + -0.6. Let x = m - -24. Which is the second biggest value? (a) x (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (10 - 3) - -3. Solve 18 = 3*k - 5*u - 19, g = 5*k + u - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3174047 - -31324047. What is y rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-27)\/(k\/k**1) assuming k is positive.\nAnswer: k**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s + 10*s + 11*s.\nAnswer: 70*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 6*o - 5. Let g be x(4). Let h(t) = 133*t**3 - 3 - 132*t**g + t**2 - 5*t + 2*t**2. Calculate the remainder when 47 is divided by h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 7829*r + 7827*r = 16, 3*d + 3 = 4*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 40 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:46 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 81. Calculate j(0).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.50859mg in nanograms?\nAnswer: 15508590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -331559, -331565, -331571?\n\"Answer: -6*d - 331553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/299 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 4948*p**2 - 4911*p**2 - p - p - p to the form u + y*p**2 + f*p and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2*20\/(-30))\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2923 = -353. Suppose -10*y + q = -8*y. Calculate the highest common divisor of 39 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**7\/1008 - m**6\/720 + m**5\/60 + 2*m**2. Let c(g) be the third derivative of o(g). Let t(j) = -j. Determine c(a) + 3*t(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 2:13 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1581 - 1585. Sort 6, 7, c.\nAnswer: c, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628334979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.3, -3257, 2\/27.\nAnswer: -3257, 2\/27, 42.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -7*j - 45. Suppose a + 4*a - w - 95 = 0, -3*w = j*a - 39. Solve 0 = 5*p - 25, i - 2*p = 2*p - a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let y(g) = -71*g - 1. Let i(w) = -6. Let u(z) = -3*i(z) - y(z). What are the prime factors of u(s)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 6*c - 485. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/(5\/(-10)). Suppose -r*d = d. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(66\/6 + -9). Solve -30*f + 37*f = p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x**4 + 133*x**3 + 171*x**2 + 7*x - 21. Let t(z) = -5*z**4 + 45*z**3 + 56*z**2 + 2*z - 6. Let y(c) = -4*j(c) + 14*t(c). Solve y(k) = 0.\nAnswer: -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4\/6 - 446545*v**3\/6 + 2084185*v**2\/2 - 4912895*v\/6 - 5805995\/3 = 0. What is v?\nAnswer: -89323, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllrrrrrlllr. Give prob of sequence rr.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.156598 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s - 54*s + 215 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15131, -56617, -125761, -222563?\nAnswer: -347023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8) - 0)\/((-7)\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1008 and 31\/((-33480)\/(-3296))*12\/(-448)?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 6*m**2 + 6*m + 7. Let q = -3 + 10. Let l be g(q). Suppose -3*s + l + 18 = 0. Calculate the least common multiple of 11 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 3. Let g be (-2)\/9 + (-32)\/v. Let l = -654 + 653. Which is the smallest value? (a) g (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82573860 to the nearest integer?\nAnswer: 9087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 160*t + 159*t - 4*t**2 + 5 - 317*t + 11*t**2 + 2*t**3. Calculate d(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose 5*j - 2*x = 287 - 3, 104 = c*j + 4*x. Suppose j = 5*k + 6. What is the remainder when 18 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, -3, 2 in descending order.\nAnswer: 131, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(567) + 0 + sqrt(567) - (sqrt(567) + 0 + sqrt(567))*5).\nAnswer: -72*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*x**4 - 60*x + 0*x**4 + 64*x + 0*x**4 + 3*x**4 - x**4 + (-x + 2*x + x)*(-2*x**3 + 0*x**3 - x**3) as g*x**2 + y*x**3 + d*x**4 + h + f*x and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 - 536 = 49*v + 596. Let t(o) = 3*o**3 + 55*o**2 - 37*o + 12. Calculate t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -104, -219, -378, -581, -828, -1119?\n\"Answer: -22*w**2 - 5*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 - 65 = -15*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24180244 - -24180244.39782283. Let f = k + -0.3978. Round f to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*x - 74 = 0, -126 = -3*l + 4*x + 32. Let f(n) = -n**2 - 25*n + 273. Calculate the smallest common multiple of f(-33) and l.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5\/n*n)\/n)**(3\/7)*n**6*n\/(n\/(n\/(n\/((n\/n**23)\/n)))) assuming n is positive.\nAnswer: n**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9152.88562566?\nAnswer: 9150.88562566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2723.161 + -2717. Let p = o - 6.1. Round p to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16898\/32 + (-5)\/80. Suppose -2*q + u + 2004 = 0. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -15*m + 122. Let w be i(8). Let b(c) be the first derivative of 4\/3*c**3 + 6 - 2*c**w + 0*c. Factor b(l).\nAnswer: 4*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + (-123 - -20) + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 23. Let i(w) = 7*w - 7. Is i(k) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 4*m + 8, 4*m = -3*b + 4*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -25. Let h be 7\/s - (-1)\/(-4). Suppose h*x = -x + 38. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0264 times -20.1?\nAnswer: -0.53064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34763 - 55015 = -26*j. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -613.92 + -13.08. Let q = -663.8 - u. What is the second biggest value in -2, q, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 116 = -26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1913*w**3 - 58*w**2 - 5 + w**4 + 55*w**2 + 7 - 2128*w**3 - 2*w to the form i*w + u*w**4 + x*w**2 + r + j*w**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from knnkkkkcnkkb.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 52*s**3 - 121*s**3 - 2*s**2 + 35*s**3 + 36*s**3 + 7*s - 4 + 3. Let q(v) = -v**2 + 1. Calculate o(b) + q(b).\nAnswer: 2*b**3 - 3*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112a5 (base 16) to base 13.\nAnswer: 26005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9770 and 802030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 486258690 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-53)\/20)\/((-380)\/25 + 14) and -1\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x**3 + x**2 - 5*x - 6. What is v(-2)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*l - 49. Let q = 70014 + -39214. Let f be (15\/l)\/(6\/q). Round f to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18980946 by 1123.\nAnswer: 16902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219\/2 - 18619\/170. Let t = -57 + 56. Is y at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**3. Let c(q) = -11*q**3. Give -3*c(j) - 4*i(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 14*s - 2*x, -6*s - 4*x - 28 = 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92625208 is divided by 558.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1156*a**2. Let r(q) = 27*q**2. What is r(z(f))?\nAnswer: 36081072*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) 0.7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/5 - ((71 - 37) + -39)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 3*g - 4 = -7*k, 8*g - 26 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671393 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779.5328l to millilitres.\nAnswer: 779532.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + 86. Let k = 280 - t. Calculate the smallest common multiple of k and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 200?\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 37*w**2 + 77*w + 147. Calculate the lowest common multiple of y(35) and 22.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-7)\/(56\/60)*230\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 1. Let c be a(3). Suppose 2*j - 29 = 5*l, 0*j - l = j - c. Is j at most 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10956 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2. Let i(p) = -p + 193. What is z(i(v))?\nAnswer: 14*v**2 - 5404*v + 521486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183809\/22690 + 2\/2269. What is the common denominator of g and (1\/(-10))\/((27\/(-564))\/3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166105?\nAnswer: 5, 233221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*r**2 + 3)*(2*r + 1 - 1)*(-4*r - 2*r + 4*r).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w + 0*w + 2*w)*(1 + 1 - 3 + (-1 + 3 + 0)*(1 - 1 + 3)) + w + 3*w - 6*w)*(-3 - w**2 + 3).\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -25*z**2 - 4518*z + 1303. Let y(h) = 26*h**2 + 4518*h - 1304. Let p(b) = 12*j(b) + 11*y(b). Factor p(l).\nAnswer: -2*(l + 323)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f. Let i(h) be the first derivative of -203*h**2 - 5918. What is n(i(m))?\nAnswer: 1218*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + c + 7. Let o be (-2*2 - -1) + -2. What are the prime factors of b(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -45873.\nAnswer: -45869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35198592 = 6*u - 206477706. Suppose u + 22720592 = -4*p - 5*m, -4*p + 3*m = 63000015. What is p rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 - 6*u + 13*u + 50*u.\nAnswer: 57*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193721 to the power of 1\/2, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 675.1 + -705. Round x to zero decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-12))\/((-1)\/(-111)). Let g = f + -37. Suppose 5*o - 25 = g, -52 = -3*d - 2*o + 54. Calculate the greatest common factor of 80 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 19*f - 12. Let b be w(0). What is the hundreds digit of (-7324)\/(-24) - (-2)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*p**4\/2 - 3392774*p**3 + 95145102363*p**2\/2 - 190246101084*p + 142676942616 = 0. Calculate p.\nAnswer: 1, 3, 308412\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1663.7 - 1783. Round p to 0 decimal places.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2657719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/2)*(q*q**(-2\/17)\/q)\/q*q*q)\/(q**(-1\/12)\/(q*q**(-6\/5))) assuming q is positive.\nAnswer: q**(1291\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - t = 5, -5*t + 4 = -1. Suppose 3*m = -n*f + 49, -f = -2*m + f + 16. Calculate the remainder when m is divided by (-3 - (-2)\/1)*-7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 74 + 766. Let t = 306 + i. Let p(x) = -x**3 - 14*x**2 - 2*x - 16. Let n be p(-14). Calculate the greatest common divisor of t and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8799838, -8799832, -8799826, -8799820, -8799814?\n\"Answer: 6*r - 8799844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -129 (b) 4 (c) -0.1 (d) -100\/751\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/9)\/(320\/2000)*12\/20?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -56. Let l be 60\/j + (-2)\/(-7). Does 5 divide (l\/(-2))\/((-1)\/13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - 3*h + 6. Let l be p(2). Let o = 28 - l. Solve 2*m + o = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/9 - 4814*y**2\/9 + 19232*y\/9 - 2136 = 0 for y.\nAnswer: 2, 2403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 4*b + 2. Let i be p(3). Let o(y) = 3*y**3 + y**2 + 3*y + 4. Is o(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}